SLM FUNDING CORP
8-K, 1997-02-05
ASSET-BACKED SECURITIES
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<PAGE>   1

                                 UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION

                            Washington, D.C.  20549


                                    Form 8-K


                                 CURRENT REPORT


                     Pursuant to Section 13 or 15(d) of the
                      Securities and Exchange Act of 1934



      Date of Report (Date of earliest event reported):  January 27, 1997
                                                         ----------------



                            SLM FUNDING CORPORATION 
                            -----------------------
                formerly known as SALLIE MAE FUNDING CORPORATION
             (Exact name of registrant as specified in its charter)
            (Originator of the Sallie Mae Student Loan Trust 1995-1,
                   the Sallie Mae Student Loan Trust 1996-1,
                       the SLM Student Loan Trust 1996-2,
                       the SLM Student Loan Trust 1996-3,
                     and the SLM Student Loan Trust 1996-4)


<TABLE>
<S>                                        <C>                                       <C>
Delaware                                   33-95474/333-2502                         23-2815650
- --------                                   -----------------                         ----------
(State or other                            (Commission File                          (I.R.S. employer
Jurisdiction of                            Numbers)                                  Identification No.)
Incorporation)
</TABLE>



                              777 Twin Creek Drive
                              Killeen, Texas 76543
                    ------------------------------------
                  (Address of principal executive offices)

      Registrant's telephone number, including area code:  (817) 554-4500





                                  Page 1 of 5
                        Exhibit Index appears on Page 5
<PAGE>   2
Item 5.          Other Events

                 On January 27, 1997, the Sallie Mae Student Loan Trust 1995-1
made its fifth, the Sallie Mae Student Loan Trust 1996-1 made its fourth, the
SLM Student Loan Trust 1996-2 made its third, the SLM Student Loan Trust 1996-3
made its second, and the SLM Student Loan Trust 1996-4 made its first, regular
quarterly distribution of funds to holders of their respective Floating Rate
Student Loan-Backed Notes and distributed their respective Quarterly Servicing
Reports, filed herewith as an Exhibit to this Form 8-K, to Certificateholders
and Noteholders of record.

                 The Registrant is hereby filing the Quarterly Servicing
Reports reflecting each Trust's activities as of January 27, 1997.





                                  Page 2 of 5
                        Exhibit Index appears on Page 5
<PAGE>   3
Item 7.   Financial Statements, Pro Forma Financial Statements and Exhibits

          (c)  Exhibits

                 19.1    Quarterly Servicing Reports





                                  Page 3 of 5
                        Exhibit Index appears on Page 5
<PAGE>   4
                                   SIGNATURES

                 Pursuant to the requirements of the Securities Exchange Act of
1934, as amended, the registrant has duly caused this report to be signed on
its behalf by the undersigned hereunto duly authorized.

Dated:   January 27, 1997

                                     SLM FUNDING
                                          CORPORATION
                                    
                                     By:      /s/     Robert R. Levine
                                              ------------------------
                                     Name:            Robert R. Levine
                                     Title:           Chief Financial Officer
                                                         and Director
                                      




                                  Page 4 of 5
                        Exhibit Index appears on Page 5
<PAGE>   5
                               INDEX TO EXHIBIT
<TABLE>
<CAPTION>
                                                                            Sequentially
  Exhibit                                                                      Numbered
  Number                               Exhibit                                  Page
  ------                               -------                                  ----
   <S>                      <C>
   19.1                     Quarterly Servicing Reports.
</TABLE>





                                  Page 5 of 5
                        Exhibit Index appears on Page 5

<PAGE>   1
SALLIE MAE STUDENT LOAN TRUST 1995-1
QUARTERLY SERVICING REPORT
REPORT DATE:                12/31/96         REPORTING PERIOD: 10/01/96-12/31/96

I.       DEAL PARAMETERS


<TABLE>
<CAPTION>
    A    STUDENT LOAN PORTFOLIO CHARACTERISTICS                          09/30/96       ACTIVITY                       12/31/96 
         -----------------------------------------------------------------------------------------------------------------------
    <S>  <C>  <C>                                             <C>                     <C>                    <C>
         i    Portfolio Balance                               $    802,942,510.88     $(44,302,266.74)       $   758,640,244.14
         ii   Interest to be Capitalized                      $        652,786.04                            $       691,772.32 
                                                             ---------------------                          --------------------
         iii  TOTAL POOL                                      $    803,595,296.92                            $   759,332,016.46 
                                                             =====================                          ====================

    B    i    Weighted Average Coupon (WAC)                                8.1816%                                       8.1898%
         ii   Weighted Average Remaining Term                               83.39                                         81.87
         iii  Number of Loans                                             459,572                                       438,051
         iv   Number of Borrowers                                         198,283                                       188,893
</TABLE>





<TABLE>
<CAPTION>
    C    NOTES AND CERTIFICATES                    SPREAD             BALANCE 10/25/96              % OF POOL 
         -----------------------------------------------------------------------------------------------------
         <S>  <C>              <C>                 <C>               <C>                             <C>
         i    A-1 Notes        795452AA9           0.575%            $   553,595,296.92               68.890%
         ii   A-2 Notes        795452AB7           0.750%            $   215,000,000.00               26.755%
         iii  Certificates     795452AC5           1.000%            $    35,000,000.00                4.355%
         ----------------------------------------------------------------------------------------------------
         iv   TOTAL NOTES AND CERTIFICATES                           $   803,595,296.92              100.000%
         ====================================================================================================
</TABLE>

<TABLE>
<CAPTION>
    C    NOTES AND CERTIFICATES                                 BALANCE 1/27/97            % OF POOL  
         ---------------------------------------------------------------------------------------------
         <S>  <C>                 <C>                        <C>                            <C>
         i    A-1 Notes           795452AA9                  $     509,332,016.46            67.076%
         ii   A-2 Notes           795452AB7                  $     215,000,000.00            28.314%
         iii  Certificates        795452AC5                  $      35,000,000.00             4.609%
         ---------------------------------------------------------------------------------------------
         iv   TOTAL NOTES AND CERTIFICATES                   $     759,332,016.46           100.000%
         =============================================================================================
</TABLE>


<TABLE>
<CAPTION>
    D    RESERVE ACCOUNT                                                      10/25/96                              01/27/97   
         ----------------------------------------------------------------------------------------------------------------------
         <S>  <C>                                                      <C>                                  <C>
         i    Required Reserve Acct Deposit (%)                                0.50%                                 0.50%
         ii   Reserve Acct Initial Deposit ($)
         iii  Specified Reserve Acct Balance ($)                       $       4,017,976.48                 $     3,796,660.08
         iv   Reserve Account Floor Balance ($)                        $       1,000,000.00                 $     1,000,000.00
         v    Current Reserve Acct Balance ($)                         $       4,017,976.48                 $     3,796,660.08
</TABLE>



SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 1
<PAGE>   2




II. 1995-1 TRANSACTIONS FROM:              10/1/96           THROUGH: 12/31/96

<TABLE>
     <S>   <C>
     A     STUDENT LOAN PRINCIPAL ACTIVITY
           i       Regular Principal Collections                     $    36,816,067.27
           ii      Principal Collections from Guarantor              $     6,088,443.00
           iii     Principal Reimbursements                          $     2,255,883.32
           iv      Other System Adjustments                          $           131.71 
                                                                     -------------------
           v       TOTAL PRINCIPAL COLLECTIONS                       $    45,160,525.30

     B     STUDENT LOAN NON-CASH PRINCIPAL ACTIVITY
           i       Other Adjustments                                 $       225,811.89
           ii      Capitalized Interest                              $    (1,084,070.45)
                                                                     -------------------
           iii     TOTAL NON-CASH PRINCIPAL ACTIVITY                 $      (858,258.56)

           -----------------------------------------------------------------------------
     C     TOTAL STUDENT LOAN PRINCIPAL ACTIVITY                     $    44,302,266.74 
           -----------------------------------------------------------------------------

     D     STUDENT LOAN INTEREST ACTIVITY
           i       Regular Interest Collections                      $    13,807,543.15
           ii      Interest Claims Received from Guarantors          $       340,026.34
           iii     Interest Reimbursements                           $        27,274.90
           iv      Other System Adjustments                          $          (715.16)
           v       Special Allowance Payments                        $       734,667.87
           vi      Subsidy Payments                                  $       740,973.14 
                                                                     -------------------
           vii     TOTAL INTEREST COLLECTIONS                        $    15,649,770.24

     E     STUDENT LOAN NON-CASH INTEREST ACTIVITY
           i       Interest Accrual Adjustment                       $      (158,675.64)
           ii      Capitalized Interest                              $     1,084,070.45 
                                                                     -------------------
           iii     TOTAL NON-CASH INTEREST ADJUSTMENTS               $       925,394.81

           -----------------------------------------------------------------------------
     F     TOTAL STUDENT LOAN INTEREST ACTIVITY                      $    16,575,165.05 
           -----------------------------------------------------------------------------
</TABLE>





SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 2



<PAGE>   3
III. 1995-1    COLLECTION ACCOUNT ACTIVITY    10/1/96       THROUGH     12/31/96

<TABLE>
     <S>   <C>
     A     PRINCIPAL COLLECTIONS
           i       Principal Payments Received-Cash                                                      $     42,904,510.27
           ii      Cash Forwarded by Administrator on behalf of Seller                                   $        462,125.56
           iii     Cash Forwarded by Administrator on behalf of Servicer                                 $            522.34
           iv      Cash Forwarded by Administrator for Consolidation Activity                            $      1,793,367.13 
                                                                                                        ---------------------
           v       TOTAL PRINCIPAL COLLECTIONS                                                           $     45,160,525.30

     B     INTEREST COLLECTIONS
           i       Interest Payments Received-Cash                                                       $     15,623,210.50
           ii      Cash Forwarded by Administrator on behalf of Seller                                   $          7,977.61
           iii     Cash Forwarded by Administrator on behalf of Servicer                                 $          2,604.21
           iv      Cash Forwarded by Administrator for Consolidation Activity                            $         15,977.92 
                                                                                                        ---------------------
           v       TOTAL INTEREST COLLECTIONS                                                            $     15,649,770.24

     C     OTHER REIMBURSEMENTS                                                                          $         58,964.25

     D     ADMINISTRATOR ACCOUNT INVESTMENT INCOME                                                       $        485,117.85

     E     TOTAL FUNDS RECEIVED                                                                          $     61,354,377.64
           (LESS: SERVICING FEES PREVIOUSLY REMITTED)                                                    $     (1,259,436.80)
           ------------------------------------------------------------------------------------------------------------------
           TOTAL FUNDS TRANSFERRED TO COLLECTION ACCOUNT                                                 $     60,094,940.84 
           ------------------------------------------------------------------------------------------------------------------

     F     SERVICING FEE CALCULATION-CURRENT MONTH
           i       Unit Charge Calculation                                                               $        614,966.40
           ii      Percentage of Principal Calculation                                                   $        972,793.09
           iii     Lesser of Unit or Principal Calculation                                               $        614,966.40

     G     SERVICING FEES DUE FOR CURRENT PERIOD                                                         $        614,966.40

     H     CARRYOVER SERVICING FEES DUE                                                                  $      1,096,099.07
                   OCT  1996 Servicing Carryover                   $       375,863.73
                   NOV  1996 Servicing Carryover                   $       365,535.20
                   DEC  1996 Servicing Carryover                   $       357,826.69 
                                                                  --------------------
                                                                   $     1,099,225.62
             LESS: SERVICING ADJ [A iii + B iii]                   $        (3,126.55)
                                                                  --------------------
                   CARRYOVER SERVICING FEE DUE                     $     1,096,099.07 
                                                                  ====================

     I     ADMINISTRATION FEES DUE                                                                       $         20,000.00

           ------------------------------------------------------------------------------------------------------------------
     J     TOTAL FEES DUE FOR PERIOD                                                                     $      1,731,065.47 
           ------------------------------------------------------------------------------------------------------------------
</TABLE>





SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 3


<PAGE>   4

IV.   1995-1                  PORTFOLIO CHARACTERISTICS

<TABLE>
<CAPTION>
                                  ----------------------------------------------------------------------------------
                                    WEIGHTED AVG COUPON              # OF  LOANS                         %          
- --------------------------------------------------------------------------------------------------------------------
STATUS                             09/30/96     12/31/96     09/30/96         12/31/96       09/30/96      12/31/96 
- --------------------------------------------------------------------------------------------------------------------
INTERIM:

<S>                                  <C>          <C>         <C>              <C>             <C>           <C>
  IN SCHOOL
    Current                          8.1719%      8.1770%         485              428         0.1055%       0.0977%

  Grace
    Current                          8.1812%      8.1743%         241              141         0.0524%       0.0322%

- --------------------------------------------------------------------------------------------------------------------
TOTAL INTERIM                        8.1750%      8.1764%         726              569         0.1580%       0.1299%
- --------------------------------------------------------------------------------------------------------------------
REPAYMENT
 ACTIVE
    Current                          8.1805%      8.1892%     399,678          376,350        86.9674%      85.9147%
    31-60 Days Delinquent            8.2289%      8.2308%      16,394           16,743         3.5672%       3.8222%
    61-90 Days Delinquent            8.2275%      8.2411%       6,095            5,927         1.3262%       1.3530%
    91-120 Days Delinquent           8.2166%      8.2088%       4,422            4,121         0.9622%       0.9408%
    Greater than 120 Days Delinquent 8.2028%      8.2393%       5,982            5,985         1.3016%       1.3663%

 DEFERMENT
    Current                          8.1355%      8.1374%      17,074           18,510         3.7152%       4.2255%

 FORBEARANCE
    Current                          8.1580%      8.1728%       7,248            7,577         1.5771%       1.7297%

- --------------------------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                      8.1814%      8.1897%     456,893          435,213        99.4171%      99.3521%
- --------------------------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)               8.2291%      8.2120%       1,953            2,269         0.4250%       0.5180%
 AGED CLAIMS REJECTED (2)                 0%           0%         -                -                0%            0%
- --------------------------------------------------------------------------------------------------------------------
GRAND TOTAL                          8.1816%      8.1898%     459,572          438,051         100.00%       100.00%
- --------------------------------------------------------------------------------------------------------------------
</TABLE>


<TABLE>
<CAPTION>
                                  ----------------------------------------------------------------------------------
                                                       PRINCIPAL AMOUNT                              %              
- --------------------------------------------------------------------------------------------------------------------
STATUS                                       09/30/96                12/31/96             09/30/96        12/31/96  
- --------------------------------------------------------------------------------------------------------------------
INTERIM:

<S>                                   <C>                       <C>                      <C>               <C>
  IN SCHOOL
    Current                           $      1,057,103.97       $      927,161.03          0.1317%         0.1222%

  GRACE
    Current                           $        529,145.20       $      279,355.36          0.0659%         0.0368%

- --------------------------------------------------------------------------------------------------------------------
TOTAL INTERIM                         $      1,586,249.17       $    1,206,516.39          0.1976%         0.1590%  
- --------------------------------------------------------------------------------------------------------------------
REPAYMENT
 ACTIVE
    Current                           $    680,405,628.84       $  634,891,171.36         84.7390%        83.6880%
    31-60 Days Delinquent             $     31,404,071.14       $   31,435,531.35          3.9111%         4.1437%
    61-90 Days Delinquent             $     12,333,766.79       $   11,878,545.83          1.5361%         1.5658%
    91-120 Days Delinquent            $      8,978,686.54       $    8,180,939.32          1.1182%         1.0784%
    Greater than 120 Days Delinquent  $     12,382,302.76       $   11,867,749.53          1.5421%         1.5643%

 DEFERMENT
    Current                           $     36,731,017.08       $   39,186,187.93          4.5746%         5.1653%

 FORBEARANCE
    Current                           $     15,454,838.62       $   15,882,137.29          1.9248%         2.0935%

- --------------------------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                       $    797,690,311.77       $  753,322,262.61         99.3459%        99.2990%  
- --------------------------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)                $      3,665,949.93       $    4,111,465.13          0.4566%         0.5420%
 AGED CLAIMS REJECTED (2)             $               -         $             -                 0%              0%  
- --------------------------------------------------------------------------------------------------------------------
GRAND TOTAL                           $    802,942,510.87       $  758,640,244.13          100.00%         100.00%  
- --------------------------------------------------------------------------------------------------------------------
</TABLE>


(1)  CLAIMS FILED AND UNPAID; INCLUDES CLAIMS REJECTED AGED LESS THAN 6 MONTHS.
(2) CLAIMS REJECTED (SUBJECT TO CURE) AGED 6 MONTHS OR MORE; ALSO INCLUDES
    CLAIMS DEEMED INCURABLE PENDING REPURCHASE.




SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 4


<PAGE>   5
V. 1995-1  INTEREST CALCULATION

<TABLE>
     <S>   <C>                                                                                          <C>
     A     Borrower Interest Accrued During Collection Period                                           $     15,109,109.83
     B     Interest Subsidy Payments Accrued During Collection Period                                   $        850,175.51
     C     SAP Payments Accrued During Collection Period                                                $        438,576.01
     D     INV Earnings Accrued for Collection Period (RESERVE & COLLECTION ACTS)                       $         64,869.75
     E     Investment Earnings (ADMINISTRATOR ACT)                                                      $        485,117.85
                                                                                                        -------------------
     F     NET EXPECTED INTEREST COLLECTIONS                                                            $     16,947,848.95

     G     STUDENT LOAN RATE
           i       Days in Collection Period           (10/01/96-12/31/96)                                               92
           ii      Days in Year                                                                                         366
           iii     Net Expected Interest Collections                                                    $     16,947,848.95
           iv      Primary Servicing Fee                                                                $      1,874,403.20
           v       Administration Fee                                                                   $         20,000.00
           vi      Total Pool Balance at Beginning of Collection Period                                 $    803,595,296.92
           vii     STUDENT LOAN RATE                                                                                7.45233%
</TABLE>
<TABLE>
<CAPTION>
                                                       ACCRUED
                                                       INT FACTOR     ACCRUAL PERIOD
                                                       ----------     --------------
     <S>   <C>                                         <C>            <C>                                           <C>
     H     Class A-1 T-Bill Based Interest Rate                                                                     5.69691%
     I     CLASS A-1 INTEREST RATE                     0.014671507    (10/25/96-1/27/97)                            5.69691%
     J     Class A-2 T-Bill Based Interest Rate                                                                     5.87191%
     K     CLASS A-2 INTEREST RATE                     0.015122192    (10/25/96-1/27/97)                            5.87191%
     L     Certificate T-Bill Based Rate of Return                                                                  6.12191%
     M     CERTIFICATE RATE OF RETURN                  0.015766027    (10/25/96-1/27/97)                            6.12191%
</TABLE>





SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 5


<PAGE>   6
VI. 1995-1 INPUTS FROM PREVIOUS QUARTERLY SERVICING REPORTS             09/30/96

<TABLE>
     <S>   <C>                                                    <C>
     A     Total Student Loan Pool Outstanding
           i     Current Pool Balance                             $     802,942,510.88
           ii    Interest To Be Capitalized                       $         652,786.04 
                                                                 ----------------------
           iii   TOTAL STUDENT LOAN POOL OUTSTANDING              $     803,595,296.92 
                                                                 ======================

     B     Total Note and Certificate Factor                             0.80359529692
     C     TOTAL NOTE AND CERTIFICATE BALANCE                     $     803,595,296.92
</TABLE>




<TABLE>
<CAPTION>
           -------------------------------------------------------------------------------------------------------------------------
     D     NOTE BALANCE      10/25/96                                  CLASS A-1                 CLASS A-2           CERTIFICATES   
           -------------------------------------------------------------------------------------------------------------------------
     <S>   <C>                                                    <C>                       <C>                   <C>
           i     Current Factor-10/25/96                                  0.7381270626            1.0000000000         1.0000000000
           ii    Note Principal Shortfall                         $               0.00      $             0.00    $            0.00
           iii   Expected Note Balance                            $     553,595,296.92      $   215,000,000.00    $   35,000,000.00
           -------------------------------------------------------------------------------------------------------------------------
           iv    NOTE BALANCE                                     $     553,595,296.92      $   215,000,000.00    $   35,000,000.00 
                                                                 ===================================================================
           -------------------------------------------------------------------------------------------------------------------------

     E     Interest Shortfall                                     $               0.00      $             0.00    $            0.00
     F     Interest Carryover                                     $               0.00      $             0.00    $            0.00 
           -------------------------------------------------------------------------------------------------------------------------


     G     Reserve Account Balance                                $       4,017,976.48
     H     Unpaid Primary Servicing Fees from Prior
             Month(s)                                             $               0.00
     I     Unpaid Administration fees from Prior
             Quarter(s)                                           $               0.00
     J     Unpaid Carryover Servicing Fees from Prior
             Quarter(s)                                           $               0.00
</TABLE>




SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 6

<PAGE>   7

VII. 1995-1   WATERFALL FOR DISTRIBUTIONS
<TABLE>
<CAPTION>
                                                                                                             REMAINING
                                                                                                           FUNDS BALANCE
                                                                                                           -------------
     <S>   <C>                                                         <C>                          <C>
     A     TOTAL AVAILABLE FUNDS (SECTION III E + SECTION V-D)         $     60,159,810.59          $      60,159,810.59

     B     PRIMARY SERVICING FEES-CURRENT MONTH                        $        614,966.40          $      59,544,844.19
     C     ADMINISTRATION FEE-QUARTERLY                                $         20,000.00          $      59,524,844.19

     D     NOTEHOLDER'S INTEREST DISTRIBUTION AMOUNT
           i       Class A-1                                           $      8,122,077.27          $      51,402,766.92
           ii      Class A-2                                           $      3,251,271.28          $      48,151,495.64
                                                                       -------------------                              
           iii     TOTAL NOTEHOLDER'S INTEREST DISTRIBUTION            $     11,373,348.55

     E     CERTIFICATEHOLDER'S RETURN DISTRIBUTION AMOUNT              $        551,810.95          $      47,599,684.69

     F     NOTEHOLDER'S PRINCIPAL DISTRIBUTION AMOUNT
           i       Class A-1                                           $     44,263,280.46          $       3,336,404.23
           ii      Class A-2                                           $              0.00          $       3,336,404.23
                                                                       -------------------                              
           iii     TOTAL NOTEHOLDER'S PRINCIPAL DISTRIBUTION           $     44,263,280.46

     G     CERTIFICATEHOLDER'S BALANCE DISTRIBUTION AMOUNT             $              0.00          $       3,336,404.23

     H     INCREASE TO THE SPECIFIED RESERVE ACCOUNT BALANCE           $              0.00          $       3,336,404.23

     I     CARRYOVER SERVICING FEES                                    $      1,096,099.07          $       2,240,305.16

     J     NOTEHOLDER'S INTEREST CARRYOVER
           i       Class A-1                                           $              0.00          $       2,240,305.16
           i       Class A-2                                           $              0.00          $       2,240,305.16
                                                                       -------------------                              
           iii     TOTAL NOTEHOLDER'S INTEREST CARRYOVER               $              0.00

     K     CERTIFICATEHOLDER'S RETURN CARRYOVER                        $              0.00          $       2,240,305.16

     L     EXCESS TO RESERVE ACCOUNT                                   $      2,240,305.16          $               0.00
</TABLE>





SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 7


<PAGE>   8
VIII.     1995-1   DISTRIBUTIONS

<TABLE>
<CAPTION>
          -------------------------------------------------------------------------------------------------------------------------
    A     DISTRIBUTION AMOUNTS                                            CLASS A-1             CLASS A-2           CERTIFICATES   
          -------------------------------------------------------------------------------------------------------------------------
    <S>   <C>                                                        <C>                    <C>                   <C>
          i      Quarterly Interest Due                              $    8,122,077.27      $   3,251,271.28      $     551,810.95
          ii     Quarterly Interest Paid                             $    8,122,077.27      $   3,251,271.28      $     551,810.95
                                                                     -----------------      ----------------      ----------------
          iii    INTEREST SHORTFALL                                  $            0.00      $           0.00      $           0.00

          iv     Interest Carryover Due                              $            0.00      $           0.00      $           0.00
          v      Interest Carryover Paid                             $            0.00      $           0.00      $           0.00
                                                                     -----------------      ----------------      ----------------
          vi     INTEREST CARRYOVER                                  $            0.00      $           0.00      $           0.00

          vii    Quarterly Principal Due (B)                         $   44,263,280.46      $           0.00      $           0.00
          viii   Quarterly Principal Paid                            $   44,263,280.46      $           0.00      $           0.00
                                                                     -----------------      ----------------      ----------------
          ix     QUARTERLY PRINCIPAL SHORTFALL                       $            0.00      $           0.00      $           0.00

          -------------------------------------------------------------------------------------------------------------------------
          x      TOTAL DISTRIBUTION AMOUNT                           $   52,385,357.73      $   3,251,271.28      $     551,810.95 
          -------------------------------------------------------------------------------------------------------------------------

    B     PRINCIPAL DISTRIBUTION RECONCILIATION
          i      Notes and Certificates Principal
                   Balance   12/31/96                                $  803,595,296.92
          ii     Pool Balance  12/31/96                              $  759,332,016.46
                                                                     -----------------
          iii    Principal Distribution Amount                       $   44,263,280.46
                                                                     =================


    C     Total Principal Distribution                               $   44,263,280.46
    D     Total Interest Distribution                                $   11,925,159.50
                                                                     -----------------
    E     TOTAL CASH DISTRIBUTIONS-NOTE AND CERTIFICATES             $   56,188,439.96
</TABLE>

<TABLE>
<CAPTION>
          ----------------------------------------------------------------------------
    F     NOTE & CERTIFICATE BALANCES               10/25/96              01/27/97    
          ----------------------------------------------------------------------------
    <S>   <C>                                                        <C>
          i      A-1 Note Balance             $   553,595,296.92     $  509,332,016.46
                 A-1 Note Pool Factor               0.7381270626          0.6791093553

          ii     A-2 Note Balance             $   215,000,000.00     $  215,000,000.00
                 A-2 Note Pool Factor               1.0000000000          1.0000000000

          iii    Certificate Balance          $    35,000,000.00     $   35,000,000.00
                 Certificate Pool Factor            1.0000000000          1.0000000000
          ----------------------------------------------------------------------------

    G     RESERVE ACCOUNT RECONCILIATION
          i      Beginning of Period Balance                         $    4,017,976.48
          ii     Deposits to correct Shortfall                       $            0.00
          iii    Deposits from Excess Servicing                      $    2,240,305.16
                                                                     -----------------
          iv     Total Reserve Account Balance
                   Available                                         $    6,258,281.64
          v      Required Reserve Account Balance                    $    3,796,660.08

          vi     Shortfall Carried to Next Period                    $            0.00
          vii    Excess Reserve - Release to SLM
                   Funding Corp                                      $    2,461,621.56
          viii   Ending Reserve Account Balance                      $    3,796,660.08
</TABLE>



SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 8
<PAGE>   9
IX.  HISTORICAL POOL INFORMATION   1995-1


<TABLE>
<CAPTION>
                                                           -------------------------------------------------------------------------
                                                             10/1/96-12/31/96            7/1/96 - 9/30/96        4/1/96 - 6/30/96   
     -------------------------------------------------------------------------------------------------------------------------------
     BEGINNING STUDENT LOAN PORTFOLIO BALANCE              $    802,942,510.88         $    853,757,457.19      $   905,375,401.17  
     -------------------------------------------------------------------------------------------------------------------------------
     <S>                                                   <C>                         <C>                      <C>
          STUDENT LOAN PRINCIPAL ACTIVITY
          i    Regular Principal Collections               $     36,816,067.27         $     40,504,277.25      $    41,999,553.67
          ii   Principal Collections from Guarantor        $      6,088,443.00         $      8,336,900.38      $     6,580,254.84
          iii  Principal Reimbursements                    $      2,255,883.32         $      2,842,522.44      $     3,722,370.03
          iv   Other System Adjustments                    $            131.71         $           (577.57)     $           (48.49) 
                                                           -------------------------------------------------------------------------
          v    Total Principal Collections                 $     45,160,525.30         $     51,683,122.50      $    52,302,130.05

          Student Loan Non-Cash Principal Activity
          i    Other Adjustments                           $        225,811.89         $        214,754.01      $       185,344.16
          ii   Capitalized Interest                        $     (1,084,070.45)        $     (1,082,930.20)     $      (869,530.23) 
                                                           -------------------------------------------------------------------------
          iii  Total Non-Cash Principal Activity           $       (858,258.56)        $       (868,176.19)     $      (684,186.07)

     -------------------------------------------------------------------------------------------------------------------------------
      (-) TOTAL STUDENT LOAN PRINCIPAL ACTIVITY            $     44,302,266.74         $     50,814,946.31      $    51,617,943.98  
     -------------------------------------------------------------------------------------------------------------------------------

          STUDENT LOAN INTEREST ACTIVITY
          i    Regular Interest Collections                $     13,807,543.15         $     15,456,574.89      $    16,104,237.23
          ii   Interest Claims Received from Guarantors    $        340,026.34         $        557,105.25      $       410,448.66
          iii  Interest Reimbursements                     $         27,274.90         $         36,142.78      $        33,086.35
          iv   Other System Adjustments                    $           (715.16)        $           (163.96)     $           (14.31)
          v    Special Allowance Payments                  $        734,667.87         $        617,049.00      $       537,884.11
          vi   Subsidy Payments                            $        740,973.14         $        792,317.27      $       836,267.57  
                                                           -------------------------------------------------------------------------
          vii  Total Interest Collections                  $     15,649,770.24         $     17,459,025.23      $    17,921,909.61

          Student Loan Non-Cash Interest Activity
          i    Interest Accrual Adjustment                 $       (158,675.64)        $       (111,637.14)     $      (112,327.13)
          ii   Capitalized Interest                        $      1,084,070.45         $      1,082,930.20      $       869,530.23  
                                                           -------------------------------------------------------------------------
          iii  Total Non-Cash Interest Adjustments         $        925,394.81         $        971,293.06      $       757,203.10  
                                                           -------------------------------------------------------------------------
          TOTAL STUDENT LOAN INTEREST ACTIVITY             $     16,575,165.05         $     18,430,318.29      $    18,679,112.71

      (=) ENDING STUDENT LOAN PORTFOLIO BALANCE            $    758,640,244.14         $    802,942,510.88      $   853,757,457.19  
     -------------------------------------------------------------------------------------------------------------------------------
      (+) INTEREST TO BE CAPITALIZED                               $691,772.32         $        652,786.04      $       677,908.07  
     -------------------------------------------------------------------------------------------------------------------------------

     -------------------------------------------------------------------------------------------------------------------------------
      (=) TOTAL POOL                                       $    759,332,016.46         $    803,595,296.92      $   854,435,365.26  
     -------------------------------------------------------------------------------------------------------------------------------
</TABLE>



<TABLE>
<CAPTION>
                                                           ------------------------------------------------
                                                             1/1/96 - 3/31/96          9/29/95 - 12/31/95  
     ------------------------------------------------------------------------------------------------------
     BEGINNING STUDENT LOAN PORTFOLIO BALANCE               $   954,345,726.48         $  1,000,126,078.04 
     ------------------------------------------------------------------------------------------------------
     <S>                                                    <C>                        <C>
          STUDENT LOAN PRINCIPAL ACTIVITY
          i    Regular Principal Collections                $    45,086,756.56         $     42,875,612.89
          ii   Principal Collections from Guarantor         $       482,294.51         $         92,046.91
          iii  Principal Reimbursements                     $     4,554,369.19         $      2,775,561.40
          iv   Other System Adjustments                     $              -           $         39,190.77 
                                                           ------------------------------------------------
          v    Total Principal Collections                  $    50,123,420.26         $     45,782,411.97

          Student Loan Non-Cash Principal Activity
          i    Other Adjustments                            $       150,766.06         $        233,926.53
          ii   Capitalized Interest                         $    (1,303,861.01)        $       (235,986.94)
                                                           ------------------------------------------------
          iii  Total Non-Cash Principal Activity            $    (1,153,094.95)        $         (2,060.41)

     ------------------------------------------------------------------------------------------------------
      (-) TOTAL STUDENT LOAN PRINCIPAL ACTIVITY             $    48,970,325.31         $     45,780,351.56 
     ------------------------------------------------------------------------------------------------------

          Student Loan Interest Activity
          i    Regular Interest Collections                 $    18,105,760.68         $     18,633,508.65
          ii   Interest Claims Received from Guarantors     $        13,929.01         $          3,259.20
          iii  Interest Reimbursements                      $        39,560.27         $         17,871.78
          iv   Other System Adjustments                     $              -           $              7.70
          v    Special Allowance Payments                   $     1,112,141.11         $         43,719.37
          vi   Subsidy Payments                             $       683,029.83         $          5,919.00 
                                                           ------------------------------------------------
          vii  Total Interest Collections                   $    19,954,420.90         $     18,704,285.70

          Student Loan Non-Cash Interest Activity
          i    Interest Accrual Adjustment                  $      (144,452.46)        $       (227,131.25)
          ii   Capitalized Interest                         $     1,303,861.01         $        235,986.94 
                                                           ------------------------------------------------
          iii  Total Non-Cash Interest Adjustments          $     1,159,408.55         $          8,855.69 
                                                           ------------------------------------------------
          TOTAL STUDENT LOAN INTEREST ACTIVITY              $    21,113,829.45         $     18,713,141.39

      (=) ENDING STUDENT LOAN PORTFOLIO BALANCE             $   905,375,401.17         $    954,345,726.48 
     ------------------------------------------------------------------------------------------------------
      (+) INTEREST TO BE CAPITALIZED                        $       602,404.08         $        639,070.92 
     ------------------------------------------------------------------------------------------------------

     ------------------------------------------------------------------------------------------------------
      (=) TOTAL POOL                                        $   905,977,805.25         $    954,984,797.40 
     ------------------------------------------------------------------------------------------------------
</TABLE>




SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 9
<PAGE>   10
X.                           PAYMENT HISTORY AND CPRS

<TABLE>
<CAPTION>
                       DISTRIBUTION                  ACTUAL                    SINCE ISSUED
                           DATE                   POOL BALANCES                    CPR *
                          <S>                    <C>                                <C>
                          Oct-95                 $1,000,126,078                      -

                          Jan-96                 $  954,984,797                     4.9%
                                                    
                          Apr-96                 $  905,977,805                     5.0%
                                                    
                          Jul-96                 $  854,435,365                     5.7%
                                                    
                          Oct-96                 $  803,595,297                     6.3%
                                                    
                          Jan-97                 $  759,332,016                     6.1%
</TABLE>                                           





   * "SINCE ISSUED CPR" IS BASED ON THE CURRENT PERIOD'S ENDING POOL BALANCE
CALCULATED AGAINST THE ORIGINAL POOL BALANCE AND ASSUMING CUTOFF DATE POOL DATA.
                                       



SALLIE MAE STUDENT LOAN TRUST 1995-1        Page 10
<PAGE>   11


                      SALLIE MAE STUDENT LOAN TRUST 1995-1
                             OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                              ELIGIBLE LENDER TRUSTEE
Bankers Trust Company                          Chase Manhattan Bank (USA)
Four Albany Street                             1 Chase Manhattan Plaza
New York, NY 10006                             Wilmington, Delaware 19801-1398
Attn: Corporate Trust & Agency Group           Attn: Manager, Trust Division
(212) 250-6547                                 (302) 575-5022
                                               
                                               
ADMINISTRATOR                                  SERVICER
Sallie Mae                                     Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                         11600 Sallie Mae Drive
Reston, Virginia 20190-4798                    Reston, Virginia 20193
Attn: Director, Corporate Finance Operations   ATTN: Director ABS Administration
(703) 810-7711                                  


================================================================================

Pursuant to Section 3.1 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performances of the Servicer and Administrator from October 1, 1997 through
December 31, 1996 has been made, and (ii) to the best of our knowledge, the
Servicer and Administrator have fulfilled their obligations under the Agreement
throughout such period.

January 21, 1997

SALLIE MAE, AS ADMINISTRATOR

/s/  Robert R. Levine             
- ----------------------------------
Robert R. Levine, Vice President
  and Treasurer

/s/  Mark G. Overend              
- ----------------------------------
Mark G. Overend, Vice President
  and Controller




<PAGE>   12
SALLIE MAE STUDENT LOAN TRUST 1996-1
QUARTERLY SERVICING REPORT
REPORT DATE:        12/31/96        REPORTING PERIOD:  10/01/96-12/31/96

I.       DEAL PARAMETERS


<TABLE>
<CAPTION>
         -------------------------------------------------------------------------------------------------------------
    A    STUDENT LOAN PORTFOLIO CHARACTERISTICS                09/30/96            ACTIVITY               12/31/96
         -------------------------------------------------------------------------------------------------------------
    <S>  <C>   <C>                                      <C>                   <C>                  <C>
         i     Portfolio Balance                        $ 1,349,145,820.06    $ (61,393,978.68)    $ 1,287,751,841.38
         ii    Interest to be Capitalized               $    11,228,783.66                         $     9,711,152.12
                                                       --------------------                       --------------------
         iii   TOTAL POOL                               $ 1,360,374,603.72                         $ 1,297,462,993.50
                                                       ====================                       ====================

    B    i     Weighted Average Coupon (WAC)                        8.2286%                                    8.2366%
         ii    Weighted Average Remaining Term                      100.90                                      99.75
         iii   Number of Loans                                     577,299                                    555,101
         iv    Number of Borrowers                                 220,871                                    212,510
         -------------------------------------------------------------------------------------------------------------
</TABLE>





<TABLE>
<CAPTION>
         ----------------------------------------------------------------------------------------------------------------------
    C    NOTES AND CERTIFICATES                      SPREAD    BALANCE 10/25/96       % OF POOL     BALANCE 1/27/97   % OF POOL
         ----------------------------------------------------------------------------------------------------------------------
         <S>   <C>                                    <C>     <C>                     <C>         <C>                  <C>
         i     A-1 Notes   795452AD3                  0.56%   $   834,374,603.72       61.334%    $   771,462,993.50    59.459%
         ii    A-2 Notes   795452AE1                  0.75%   $   473,500,000.00       34.807%    $   473,500,000.00    36.494%
         iii   Certificates795452AF8                  0.98%   $    52,500,000.00        3.859%    $    52,500,000.00     4.046%
         ----------------------------------------------------------------------------------------------------------------------
         iv    TOTAL NOTES AND CERTIFICATES                   $ 1,360,374,603.72      100.000%    $ 1,297,462,993.50   100.000%
         ======================================================================================================================
</TABLE>

<TABLE>
<CAPTION>
         ----------------------------------------------------------------------------------------------------------------------
    D    RESERVE ACCOUNT                                             10/25/96                           1/27/97
         ----------------------------------------------------------------------------------------------------------------------
         <S>   <C>                                            <C>                                 <C>
         i     Required Reserve Acct Deposit (%)                       0.25%                             0.25%
         ii    Reserve Acct Initial Deposit ($)
         iii   Specified Reserve Acct Balance ($)             $     3,400,936.51                  $     3,243,657.48
         iv    Reserve Account Floor Balance ($)              $     1,500,000.00                  $     1,500,000.00
         v     Current Reserve Acct Balance ($)               $     3,400,936.51                  $     3,243,657.48
         ----------------------------------------------------------------------------------------------------------------------
</TABLE>


SALLIE MAE STUDENT LOAN TRUST 1996-1      1
                                          

<PAGE>   13


II.  1996-1     TRANSACTIONS FROM:   10/1/96      THROUGH:      12/31/96

<TABLE>
     <S>        <C>                                                                         <C>
     A          STUDENT LOAN PRINCIPAL ACTIVITY
                i        Regular Principal Collections                                      $ 38,568,892.82
                ii       Principal Collections from Guarantor                               $ 18,664,167.10
                iii      Principal Reimbursements                                           $  9,629,351.72
                iv       Other System Adjustments                                           $     (7,343.12)
                                                                                            ----------------
                v        TOTAL PRINCIPAL COLLECTIONS                                        $ 66,855,068.52

     B          STUDENT LOAN NON-CASH PRINCIPAL ACTIVITY
                i        Other Adjustments                                                  $  1,174,644.80
                ii       Capitalized Interest                                               $ (6,635,734.64)
                                                                                            ----------------
                iii      TOTAL NON-CASH PRINCIPAL ACTIVITY                                  $ (5,461,089.84)

                -------------------------------------------------------------------------------------------
     C          TOTAL STUDENT LOAN PRINCIPAL ACTIVITY                                       $ 61,393,978.68
                -------------------------------------------------------------------------------------------

     D          STUDENT LOAN INTEREST ACTIVITY
                i        Regular Interest Collections                                       $ 16,127,108.13
                ii       Interest Claims Received from Guarantors                           $  1,180,177.89
                iii      Interest Reimbursements                                            $    125,983.70
                iv       Other System Adjustments                                           $       (956.09)
                v        Special Allowance Payments                                         $    991,453.39
                vi       Subsidy Payments                                                   $  5,892,220.73
                                                                                            ----------------
                vii      TOTAL INTEREST COLLECTIONS                                         $ 24,315,987.75

     E          STUDENT LOAN NON-CASH INTEREST ACTIVITY
                i        Interest Accrual Adjustment                                        $   (960,564.36)
                ii       Capitalized Interest                                               $  6,635,734.64
                                                                                            ----------------
                iii      TOTAL NON-CASH INTEREST ADJUSTMENTS                                $  5,675,170.28

                -------------------------------------------------------------------------------------------
     F          TOTAL STUDENT LOAN INTEREST ACTIVITY                                        $ 29,991,158.03
                -------------------------------------------------------------------------------------------
</TABLE>

SALLIE MAE STUDENT LOAN TRUST 1996-1      2

<PAGE>   14



III. 1996-1     COLLECTION ACCOUNT ACTIVITY      10/1/96    THROUGH   12/31/96

<TABLE>
     <S>        <C>                                                                               <C>
     A          PRINCIPAL COLLECTIONS
                i        Principal Payments Received-Cash                                         $ 57,233,059.92
                ii       Cash Forwarded by Administrator on behalf of Seller                      $  2,019,936.56
                iii      Cash Forwarded by Administrator on behalf of Servicer                    $      1,039.34
                iv       Cash Forwarded by Administrator for Consolidation Activity               $  7,601,032.70
                                                                                                  ----------------
                v        TOTAL PRINCIPAL COLLECTIONS                                              $ 66,855,068.52

     B          INTEREST COLLECTIONS
                i        Interest Payments Received-Cash                                          $ 24,190,960.14
                ii       Cash Forwarded by Administrator on behalf of Seller                      $     18,941.19
                iii      Cash Forwarded by Administrator on behalf of Servicer                    $      4,820.38
                iv       Cash Forwarded by Administrator for Consolidation Activity               $    101,266.04
                                                                                                  ----------------
                v        TOTAL INTEREST COLLECTIONS                                               $ 24,315,987.75

     C          OTHER REIMBURSEMENTS                                                              $     66,996.53

     D          ADMINISTRATOR ACCOUNT INVESTMENT INCOME                                           $    700,333.90

     E          TOTAL FUNDS RECEIVED                                                              $ 91,938,386.70
                (LESS: SERVICING FEES PREVIOUSLY REMITTED)                                        $ (1,689,125.90)
                --------------------------------------------------------------------------------------------------
                TOTAL FUNDS TRANSFERRED TO COLLECTION ACCOUNT                                     $ 90,249,260.80
                --------------------------------------------------------------------------------------------------

     F          SERVICING FEE CALCULATION-CURRENT MONTH
                i        Unit Charge Calculation                                                  $    828,508.45
                ii       Percentage of Principal Calculation                                      $  1,197,647.06
                iii      Lesser of Unit or Principal Calculation                                  $    828,508.45

     G          SERVICING FEES DUE FOR CURRENT PERIOD                                             $    828,508.45

     H          CARRYOVER SERVICING FEES DUE                                                      $  1,125,855.46
                         OCT  1996 Servicing Carryover             $     386,363.65
                         NOV 1996  Servicing Carryover             $     376,212.92
                         DEC 1996  Servicing Carryover             $     369,138.61
                                                                  ------------------
                                                                   $   1,131,715.18
                   LESS: Servicing ADJ [A iii + B iii]             $      (5,859.72)
                                                                  ------------------
                   TOTAL CARRYOVER SERVICING FEE DUE               $   1,125,855.46
                                                                  ==================

     I          ADMINISTRATION FEES DUE                                                           $     20,000.00

                --------------------------------------------------------------------------------------------------
     J          TOTAL FEES DUE FOR PERIOD                                                         $  1,974,363.91
                --------------------------------------------------------------------------------------------------
</TABLE>


SALLIE MAE STUDENT LOAN TRUST 1996-1       3
<PAGE>   15


IV.  1996-1                    PORTFOLIO CHARACTERISTICS

<TABLE>
<CAPTION>
                            ----------------------------------------------------------------------
                              WEIGHTED AVG COUPON         # OF LOANS                   %             
- --------------------------------------------------------------------------------------------------
STATUS                         9/30/96   12/31/96      9/30/96  12/31/96      9/30/96    12/31/96    
- --------------------------------------------------------------------------------------------------
<S>                             <C>        <C>         <C>       <C>          <C>         <C>          
INTERIM:                                                                                               

  IN SCHOOL                                                                                            
    Current                     8.1675%    8.1673%      40,103    35,941       6.9467%     6.4747%     
                                                                                                       
  GRACE                                                                                                
    Current                     8.1515%    8.1273%      24,361     8,512       4.2198%     1.5334%     
                                                                                                       
- --------------------------------------------------------------------------------------------------
TOTAL INTERIM                   8.1612%    8.1596%      64,464    44,453      11.1665%     8.0081%     
- --------------------------------------------------------------------------------------------------
REPAYMENT                                                                                              
                                                                                                       
  ACTIVE                                                                                               
    Current                     8.2268%    8.2337%     372,843   380,107      64.5840%    68.4753%     
    31-60 Days Delinquent       8.2651%    8.2745%      24,085    24,104       4.1720%     4.3423%     
    61-90 Days Delinquent       8.2652%    8.2798%      12,630    10,161       2.1878%     1.8305%     
    91-120 Days Delinquent      8.2836%    8.2789%       8,136     6,536       1.4093%     1.1774%     
    Greater than 120 Days 
      Delinquent                8.2714%    8.2787%      11,950    11,127       2.0700%     2.0045%     
                                                                                                       
 DEFERMENT                                                                                             
    Current                     8.2690%    8.2726%      57,718    55,367       9.9979%     9.9742%     
                                                                                                       
 FORBEARANCE                                                                                           
    Current                     8.2597%    8.2609%      19,855    18,222       3.4393%     3.2826%     
                                                                                                       
- --------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                 8.2395%    8.2448%     507,217   505,624      87.8604%    91.0868%     
- --------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)          8.2491%    8.2782%       5,618     5,024       0.9732%     0.9051%     
 AGED CLAIMS REJECTED (2)       0.0000%    0.0000%         -         -              0%          0%     
- --------------------------------------------------------------------------------------------------
              GRAND TOTAL       8.2286%    8.2366%     577,299   555,101       100.00%     100.00%     
- --------------------------------------------------------------------------------------------------
</TABLE>


<TABLE>                       
<CAPTION>                     
- --------------------------------------------------------------------------------------------------
                                                PRINCIPAL AMOUNT                       %
- --------------------------------------------------------------------------------------------------
STATUS                                    09/30/96             12/31/96       09/30/96    12/31/96
- --------------------------------------------------------------------------------------------------
<S>                               <C>                   <C>                   <C>         <C>
INTERIM:                      

  IN SCHOOL                   
    Current                       $   115,553,753.55    $   103,629,819.65     8.5650%     8.0473%
                              
  GRACE                       
    Current                       $    74,652,685.26    $    24,524,973.42     5.5333%     1.9045%
                              
- --------------------------------------------------------------------------------------------------
TOTAL INTERIM                     $   190,206,438.81    $   128,154,793.07    14.0983%     9.9518%
- --------------------------------------------------------------------------------------------------
REPAYMENT                     
                              
  ACTIVE                      
    Current                       $   787,184,214.78    $   817,775,722.01    58.3469%    63.5041%
    31-60 Days Delinquent         $    52,552,551.72    $    52,704,249.74     3.8952%     4.0927%
    61-90 Days Delinquent         $    32,028,678.70    $    23,584,918.85     2.3740%     1.8315%
    91-120 Days Delinquent        $    19,982,432.45    $    15,583,310.19     1.4811%     1.2101%
    Greater Than 120 Days 
      Delinquent                  $    28,878,790.29    $    27,541,775.22     2.1405%     2.1387%
                              
 DEFERMENT                    
    Current                       $   164,244,366.46    $   156,532,280.20    12.1740%    12.1555%
                              
 FORBEARANCE                  
    Current                       $    60,805,130.02    $    54,920,289.54     4.5069%     4.2648%
                              
- --------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                   $ 1,145,676,164.42    $ 1,148,642,545.75    84.9186%    89.1975%
- --------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)            $    13,263,216.82    $    10,954,502.55     0.9831%     0.8507%
 AGED CLAIMS REJECTED (2)         $             -       $             -             0%          0%
- --------------------------------------------------------------------------------------------------
              GRAND TOTAL         $ 1,349,145,820.05    $ 1,287,751,841.37     100.00%     100.00%
- --------------------------------------------------------------------------------------------------
</TABLE>

(1) CLAIMS FILED AND UNPAID; INCLUDES CLAIMS REJECTED AGED LESS THAN 6 MONTHS.
(2) CLAIMS REJECTED (SUBJECT TO CURE) AGED 6 MONTHS OR MORE; ALSO INCLUDES
    CLAIMS DEEMED INCURABLE PENDING REPURCHASE.


SALLIE MAE STUDENT LOAN TRUST 1996-1       4
<PAGE>   16



V.         INTEREST CALCULATION

<TABLE>
     <S>   <C>                                                                                     <C>
     A     Borrower Interest Accrued During Collection Period                                      $    21,685,505.15
     B     Interest Subsidy Payments Accrued During Collection Period                              $     5,413,282.55
     C     SAP Payments Accrued During Collection Period                                           $       580,608.69
     D     INV Earnings Accrued for Collection Period (RESERVE & COLLECTION ACTS)                  $        59,659.58
     E     Investment Earnings (ADMINISTRATOR ACT)                                                 $       700,333.90
                                                                                                   ------------------
     F     NET EXPECTED INTEREST COLLECTIONS                                                       $    28,439,389.87
                                                                                              
     G     STUDENT LOAN RATE                                                                  
           i        Days in Collection Period  (10/01/96-12/31/96)                                                 92
           ii       Days in Year                                                                                  366
           iii      Net Expected Interest Collections                                              $    28,439,389.87
           iv       Primary Servicing Fee                                                          $     2,517,634.35
           v        Administration Fee                                                             $        20,000.00
           vi       Total Pool Balance at Beginning of Collection Period                           $ 1,360,374,603.72
           vii      STUDENT LOAN RATE                                                                         7.57467%
</TABLE>  
<TABLE>   
<CAPTION>                                                                                     
                                                             ACCRUED                          
                                                           INT FACTOR      ACCRUAL PERIOD     
                                                           ----------      --------------
     <S>   <C>                                             <C>           <C>                                  <C>
     H     Class A-1 T-Bill Based Interest Rate                                                               5.68192%
     I     CLASS A-1 INTEREST RATE                         0.014632877   (10/25/96-1/27/97)                   5.68192%
     J     Class A-2 T-Bill Based Interest Rate                                                               5.87191%
     K     CLASS A-2 INTEREST RATE                         0.015122192   (10/25/96-1/27/97)                   5.87191%
     L     Certificate T-Bill Based Rate of Return                                                            6.10192%
     M     CERTIFICATE RATE OF RETURN                      0.015714521   (10/25/96-1/27/97)                   6.10192%
</TABLE>

SALLIE MAE STUDENT LOAN TRUST 1996-1       5
<PAGE>   17
VI.        INPUTS FROM PREVIOUS QUARTERLY SERVICING REPORTS          09/30/96

<TABLE>
     <S>   <C>                                                    <C>
     A     Total Student Loan Pool Outstanding
           i     Current Pool Balance                             $ 1,349,145,820.06
           ii    Interest To Be Capitalized                       $    11,228,783.66
                                                                 --------------------
           iii   TOTAL STUDENT LOAN POOL OUTSTANDING              $ 1,360,374,603.72
                                                                 ====================

     B     Total Note and Certificate Factor                           0.90691640248
     C     TOTAL NOTE AND CERTIFICATE BALANCE                     $ 1,360,374,603.72
</TABLE>




<TABLE>
<CAPTION>
           --------------------------------------------------------------------------------------------------------------------
     D     NOTE BALANCE           10/25/96                               CLASS A-1            CLASS A-2         CERTIFICATES
           --------------------------------------------------------------------------------------------------------------------
     <S>   <C>                                                    <C>                     <C>                 <C>
           i     Current Factor-10/25/96                                0.8566474371          1.0000000000       1.0000000000
           ii    Note Principal Shortfall                         $             0.00      $           0.00    $          0.00
           iii   Expected Note Balance                            $   834,374,603.72      $ 473,500,000.00    $ 52,500,000.00
                                                                  ------------------      ----------------    ---------------
           iv    NOTE BALANCE                                     $   834,374,603.72      $ 473,500,000.00    $ 52,500,000.00
     E     Interest Shortfall                                     $             0.00      $           0.00    $          0.00
     F     Interest Carryover                                     $             0.00      $           0.00    $          0.00
           --------------------------------------------------------------------------------------------------------------------

     G     Reserve Account Balance                                $     3,400,936.51
     H     Unpaid Primary Servicing Fees from Prior Month(s)      $             0.00
     I     Unpaid Administration fees from Prior Quarter(s)       $             0.00
     J     Unpaid Carryover Servicing Fees from Prior Quarter(s)  $             0.00
</TABLE>

SALLIE MAE STUDENT LOAN TRUST 1996-1       6
<PAGE>   18
VII.       WATERFALL FOR DISTRIBUTIONS
<TABLE>
<CAPTION>
                                                                                                                 REMAINING
                                                                                                               FUNDS BALANCE
                                                                                                               -------------
     <S>   <C>                                                                   <C>                          <C>
     A     Total Available Funds (Section III E + Section V-D)                   $ 90,308,920.38              $ 90,308,920.38

     B     Primary Servicing Fees-Current Month                                  $    828,508.45              $ 89,480,411.93
     C     Administration Fee                                                    $     20,000.00              $ 89,460,411.93

     D     Noteholder's Interest Distribution Amount
           i        Class A-1                                                    $ 12,209,300.95              $ 77,251,110.98
           ii       Class A-2                                                    $  7,160,357.91              $ 70,090,753.07
                                                                                 ---------------
           iii      TOTAL NOTEHOLDER'S INTEREST DISTRIBUTION                     $ 19,369,658.86

     E     CERTIFICATEHOLDER'S RETURN DISTRIBUTION AMOUNT                        $    825,012.35              $ 69,265,740.72

     F     Noteholder's Principal Distribution Amount
           i        Class A-1                                                    $ 62,911,610.22              $  6,354,130.50
           ii       Class A-2                                                    $          0.00              $  6,354,130.50
                                                                                 ---------------
           iii      TOTAL NOTEHOLDER'S PRINCIPAL DISTRIBUTION                    $ 62,911,610.22

     G     CERTIFICATEHOLDER'S BALANCE DISTRIBUTION AMOUNT                       $          0.00              $  6,354,130.50

     H     Increase to the Specified Reserve Account Balance                     $          0.00              $  6,354,130.50

     I     Carryover Servicing Fees                                              $  1,125,855.46              $  5,228,275.04

     J     Noteholder's Interest Carryover
           i        Class A-1                                                    $          0.00              $  5,228,275.04
           i        Class A-2                                                    $          0.00              $  5,228,275.04
                                                                                 ---------------
           iii      TOTAL NOTEHOLDER'S INTEREST CARRYOVER                        $          0.00
           
     K     CERTIFICATEHOLDER'S RETURN CARRYOVER                                  $          0.00              $  5,228,275.04
           
     L     EXCESS TO RESERVE ACCOUNT                                             $  5,228,275.04              $          0.00
</TABLE>

SALLIE MAE STUDENT LOAN TRUST 1996-1       7
<PAGE>   19
VIII.     DISTRIBUTIONS

<TABLE>
<CAPTION>
          --------------------------------------------------------------------------------------------------------------
    A     DISTRIBUTION AMOUNTS                               CLASS A-1                CLASS A-2            CERTIFICATES
          --------------------------------------------------------------------------------------------------------------
          <S>                                             <C>                      <C>                     <C>
          i    Quarterly Interest Due                     $ 12,209,300.95          $ 7,160,357.91          $ 825,012.35
          ii   Quarterly Interest Paid                    $ 12,209,300.95          $ 7,160,357.91          $ 825,012.35
                                                          ---------------          --------------          -------------
          iii  INTEREST SHORTFALL                         $          0.00          $         0.00          $       0.00

          iv   Interest Carryover Due                     $          0.00          $         0.00          $       0.00
          v    Interest Carryover Paid                    $          0.00          $         0.00          $       0.00
                                                          ---------------          --------------          -------------
          vi   INTEREST CARRYOVER                         $          0.00          $         0.00          $       0.00

          vii  Quarterly Principal Due (B)                $ 62,911,610.22          $         0.00          $       0.00
          viii Quarterly Principal Paid                   $ 62,911,610.22          $         0.00          $       0.00
                                                          ---------------          --------------          -------------
          ix   QUARTERLY PRINCIPAL SHORTFALL              $          0.00          $         0.00          $       0.00

          --------------------------------------------------------------------------------------------------------------
          x    Total Distribution Amount                  $ 75,120,911.17          $ 7,160,357.91          $ 825,012.35
          --------------------------------------------------------------------------------------------------------------
</TABLE>



    B     PRINCIPAL DISTRIBUTION RECONCILIATION
<TABLE>
    <S>   <C>                                                                       <C>
          i    Notes and Certificates Principal Balance   12/31/96                  $ 1,360,374,603.72
          ii   Pool Balance  12/31/96                                               $ 1,297,462,993.50
                                                                                    ------------------
          iii  Pool Exceeding Notes and Certificate Balance (i-ii)                  $    62,911,610.22
                                                                                    ------------------
          iv   Principal Distribution Amount                                        $    62,911,610.22
                                                                                    ==================

    C     Total Principal Distribution                                              $    62,911,610.22
    D     Total Interest Distribution                                               $    20,194,671.21
                                                                                    ------------------
    E     TOTAL CASH DISTRIBUTIONS-NOTE AND CERTIFICATES                            $    83,106,281.43
</TABLE>

<TABLE>
<CAPTION>
          --------------------------------------------------------------------------------------------
    F     NOTE & CERTIFICATE BALANCES                           10/25/96                  01/27/97
          --------------------------------------------------------------------------------------------
          <S>  <C>                                          <C>                     <C>
          i    A-1 Note Balance        (795452AD3)          $ 834,374,603.72        $   771,462,993.50
               A-1 Note Pool Factor                             0.8566474371              0.7920564615

          ii   A-2 Note Balance        (795452AE1)          $ 473,500,000.00        $   473,500,000.00
               A-2 Note Pool Factor                             1.0000000000              1.0000000000

          iii  Certificate Balance     (795452AF8)          $  52,500,000.00        $    52,500,000.00
               Certificate Pool Factor                          1.0000000000              1.0000000000
          --------------------------------------------------------------------------------------------
</TABLE>

<TABLE>
    <S>   <C>                                                                       <C>
    G     RESERVE ACCOUNT RECONCILIATION
          i    Beginning of Period Balance                                          $     3,400,936.51
          ii   Deposits to correct Shortfall                                        $             0.00
          iii  Deposits from Excess Servicing                                       $     5,228,275.04
                                                                                    ------------------
          iv   Total Reserve Account Balance Available                              $     8,629,211.55
          v    Required Reserve Account Balance                                     $     3,243,657.48

          vi   Shortfall Carried to Next Period                                     $             0.00
          vii  Excess Reserve - Release to SLM Funding Corp                         $     5,385,554.07
          viii Ending Reserve Account Balance                                       $     3,243,657.48
</TABLE>


SALLIE MAE STUDENT LOAN TRUST 1996-1       8
<PAGE>   20

IX.      HISTORICAL POOL INFORMATION




<TABLE>
<CAPTION>
                                                  -------------------------------------------------------------------------------
                                                    10/1/96-12/31/96     7/1/96-9/30/96     4/1/96-6/30/96      2/5/96-3/31/96
- ---------------------------------------------------------------------------------------------------------------------------------
<S>                                                <C>                 <C>                 <C>                 <C>
Beginning Student Loan Portfolio Balance           $ 1,349,145,820.06  $1,410,958,484.15   $1,459,260,458.15   $1,489,927,280.77
- ---------------------------------------------------------------------------------------------------------------------------------

        STUDENT LOAN PRINCIPAL ACTIVITY
        i    Regular Principal Collections         $   38,568,892.82   $   41,001,385.22   $   41,078,207.45   $   27,226,246.55
        ii   Principal Collections from Guarantor  $   18,664,167.10   $   10,313,302.34   $      842,636.38   $       27,657.36
        iii  Principal Reimbursements              $    9,629,351.72   $   14,477,503.16   $   12,387,879.90   $    6,083,122.75
        iv   Other System Adjustments              $       (7,343.12)  $      (11,809.27)  $         (548.12)  $        2,229.83
                                                  -------------------------------------------------------------------------------
        v    Total Principal Collections           $   66,855,068.52   $   65,780,381.45   $   54,308,175.61   $   33,339,256.49

        Student Loan Non-Cash Principal Activity
        i    Other Adjustments                     $    1,174,644.80   $    1,320,897.53   $    1,000,024.50   $      746,961.96
        ii   Capitalized Interest                  $   (6,635,734.64)  $   (5,288,614.89)  $   (7,006,226.11)  $   (3,419,395.83)
                                                  -------------------------------------------------------------------------------
        iii  Total Non-Cash Principal Activity     $   (5,461,089.84)  $   (3,967,717.36)  $   (6,006,201.61)  $   (2,672,433.87)

- ---------------------------------------------------------------------------------------------------------------------------------
   (-)  TOTAL STUDENT LOAN PRINCIPAL ACTIVITY      $   61,393,978.68   $   61,812,664.09   $   48,301,974.00   $   30,666,822.62
- ---------------------------------------------------------------------------------------------------------------------------------

        STUDENT LOAN INTEREST ACTIVITY
        i    Regular Interest Collections          $   16,127,108.13   $   17,372,003.89   $   17,084,616.87   $   10,764,171.47
        ii   Interet Claims Received from
               Guarantors                          $    1,180,177.89   $      612,951.89   $       21,865.02   $          326.78
        iii  Interest Reimbursements               $      125,983.70   $      182,022.75   $      142,527.81   $       50,757.10
        iv   Other System Adjustments              $         (956.09)  $         (960.98)  $          244.79   $       10,446.21
        v    Special Allowance Payments            $      991,453.39   $      775,767.11   $      343,884.36   $            0.00
        vi   Interest Subsidy Payments             $    5,892,220.73   $    7,006,327.74   $    4,651,078.41   $            0.00
                                                  -------------------------------------------------------------------------------
        vii  Total Interest Collections            $   24,315,987.75   $   25,948,112.40   $   22,244,217.26   $   10,825,701.56

        Student Loan Non-Cash Interest Activity
        i    Interest Accrual Adjustment           $     (960,564.36)  $   (1,187,918.97)  $     (994,738.78)  $     (733,594.53)
        ii   Capitalized Interest                  $    6,635,734.64   $    5,288,614.89   $    7,006,226.11   $    3,419,395.83
                                                  -------------------------------------------------------------------------------
        iii  Total Non-Cash Interest Adjustments   $    5,675,170.28   $    4,100,695.92   $    6,011,487.33   $    2,685,801.30
                                                  -------------------------------------------------------------------------------
        TOTAL STUDENT LOAN INTEREST ACTIVITY       $   29,991,158.03   $   30,048,808.32   $   28,255,704.59   $   13,511,502.86

   (=)  ENDING STUDENT LOAN PORTFOLIO BALANCE      $1,287,751,841.38   $1,349,145,820.06   $1,410,958,484.15   $1,459,260,458.15
- ---------------------------------------------------------------------------------------------------------------------------------
   (+)  INTEREST TO BE CAPITALIZED                     $9,711,152.12   $   11,228,783.66   $   10,991,431.27   $   12,610,267.46
- ---------------------------------------------------------------------------------------------------------------------------------

- ---------------------------------------------------------------------------------------------------------------------------------
   (=)  TOTAL POOL                                 $1,297,462,993.50   $1,360,374,603.72   $1,421,949,915.42   $1,471,870,725.61
- ---------------------------------------------------------------------------------------------------------------------------------
</TABLE>


SALLIE MAE STUDENT LOAN TRUST 1996-1       9
<PAGE>   21
X.    PAYMENT HISTORY AND CPRS

<TABLE>
<CAPTION>
                          DISTRIBUTION          ACTUAL        SINCE ISSUED
                             DATE            POOL BALANCES        CPR *


                             <S>           <C>                     <C>
                             Feb-96        $  1,502,106,411         -

                             Apr-96        $  1,471,870,726        5.1%

                             Jul-96        $  1,421,949,915        5.6%

                             Oct-96        $  1,360,374,604        7.1%

                             Jan-97        $  1,297,462,994        7.9%
</TABLE>

         * "SINCE ISSUED CPR" IS BASED ON THE CURRENT PERIOD'S ENDING POOL
         BALANCE CALCULATED AGAINST THE ORIGINAL POOL BALANCE AND ASSUMING
         CUTOFF DATE POOL DATA.


SALLIE MAE STUDENT LOAN TRUST 1996-1       10
<PAGE>   22
                     SALLIE MAE STUDENT LOAN TRUST 1996-1
                            OFFICER'S CERTIFICATE
                                      

                                      
INDENTURE TRUSTEE                          ELIGIBLE LENDER TRUSTEE
Bankers Trust Company                      Chase Manhattan Bank (USA)
Four Albany Street                         1 Chase Manhattan Plaza
New York, NY 10006                         Wilmington, Delaware 19801-1398
Attn: Corporate Trust & Agency Group       Attn: Manager, Trust Division 
(212) 250-6547                             (302) 575-5022
                                      
                                      
ADMINISTRATOR                              SERVICER
Sallie Mae                                 Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                     11600 Sallie Mae Drive
Reston, Virginia 20190-4798                Reston, Virginia 20193
Attn: Director, Corporate Finance          ATTN: Director ABS Administration
      Operations                                                            
(703) 810-7711                        
                                      
                                      
================================================================================
                                      

Pursuant to Section 3.1 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performances of the Servicer and Administrator from October 1, 1996 through
December 31, 1996 has been made, and (ii) to the best of our knowledge, the
Servicer and Administrator have fulfilled their obligations under the Agreement
throughout such period.

January 21, 1997

SALLIE MAE, AS ADMINISTRATOR

/s/  Robert R. Levine           
- -----------------------------------
Robert R. Levine, Vice President 
  and Treasurer

/s/  Mark G. Overend            
- -----------------------------------
Mark G. Overend, Vice President
  and Controller

<PAGE>   23
SLM STUDENT LOAN TRUST 1996-2
QUARTERLY SERVICING REPORT
REPORT DATE:                12/31/96         REPORTING PERIOD: 10/01/96-12/31/96

I.       DEAL PARAMETERS


<TABLE>
<CAPTION>
         --------------------------------------------------------------------------------------------------------------
    A    STUDENT LOAN PORTFOLIO CHARACTERISTICS                09/30/96          ACTIVITY                 12/31/96
         --------------------------------------------------------------------------------------------------------------
    <S>  <C>  <C>                                     <C>                     <C>                    <C>
         i    Portfolio Balance                       $1,420,136,733.54       $(51,196,124,08)       $1,368,940,609.46
         ii   Interest to be Capitalized              $   15,672,244.73                              $   13,686,568.72
                                                      ------------------                             ------------------
         iii  TOTAL POOL                              $1,435,808,978.27                              $1,382,627,178.18
                                                      ==================                             ==================

    B    i    Weighted Average Coupon (WAC)                      8.2023%                                        8.2145%
         ii   Weighted Average Remaining Term                    104.50                                         103.20
         iii  Number of Loans                                   606,964                                        591,417
         iv   Number of Borrowers                               257,732                                        251,004

         --------------------------------------------------------------------------------------------------------------
</TABLE>





<TABLE>
<CAPTION>
         -------------------------------------------------------------------------------------------------------------------
    C    NOTES AND CERTIFICATES             SPREAD     BALANCE 10/25/96      % OF POOL           BALANCE 1/27/97   % OF POOL
         -------------------------------------------------------------------------------------------------------------------
         <S>  <C>                            <C>      <C>                      <C>             <C>                  <C>
         i    A-1 Notes    78442GAA4         0.51%    $  895,778,978.27         62.388%        $  842,597,178.18     60.942%
         ii   A-2 Notes    78442GAB2         0.71%    $  487,000,000.00         33.918%        $  487,000,000.00     35.223%
         iii  Certificates 78442GAC0         0.96%    $   53,030,000.00          3.693%        $   53,030,000.00      3.835%
         -------------------------------------------------------------------------------------------------------------------
         iv   TOTAL NOTES AND CERTIFICATES            $1,435,808,978.27        100.000%        $1,382,627,178.18    100.000%
         ===================================================================================================================
</TABLE>

<TABLE>
<CAPTION>
         -------------------------------------------------------------------------------------------------------------------
    D    RESERVE ACCOUNT                                               10/25/96                          01/27/97
         -------------------------------------------------------------------------------------------------------------------
         <S>  <C>                                                 <C>                               <C>
         i    REQUIRED RESERVE ACCT DEPOSIT (%)                       0.25%                             0.25%
         ii   Reserve Acct Initial Deposit ($)
         iii  Specified Reserve Acct Balance ($)                  $3,589,522.45                     $3,456,567.95
         iv   Reserve Account Floor Balance ($)                   $1,515,030.00                     $1,515,030.00
         v    Current Reserve Acct Balance ($)                    $3,589,522.45                     $3,456,567.95

         -------------------------------------------------------------------------------------------------------------------
</TABLE>




SLM STUDENT LOAN TRUST 1996-2                  Page 1
<PAGE>   24




II. 1996-2 TRANSACTIONS FROM:      10/1/96        THROUGH:        12/31/96

<TABLE>
     <S>   <C>                                                     <C>
     A     STUDENT LOAN PRINCIPAL ACTIVITY
           i       Regular Principal Collections                   $35,315,114.14
           ii      Principal Collections from Guarantor            $12,433,036.92
           iii     Principal Reimbursements                        $10,214,361.81
           iv      Other System Adjustments                        $    (4,608.47)
                                                                   ---------------
           v       TOTAL PRINCIPAL COLLECTIONS                     $57,957,904.40

     B     STUDENT LOAN NON-CASH PRINCIPAL ACTIVITY
           i       Other Adjustments                               $ 1,080,860.52
           ii      Capitalized Interest                            $(7,842,640.84)
                                                                   ---------------
           iii     TOTAL NON-CASH PRINCIPAL ACTIVITY               $(6,761,780.32)

         --------------------------------------------------------------------------
     C     TOTAL STUDENT LOAN PRINCIPAL ACTIVITY                   $51,196,124.08
         --------------------------------------------------------------------------

     D     STUDENT LOAN INTEREST ACTIVITY
           i       Regular Interest Collections                    $14,810,858.15
           ii      Interest Claims Received from Guarantors        $   774,638.29
           iii     Interest Reimbursements                         $   166,885.49
           iv      Other System Adjustments                        $    (2,349.39)
           v       Special Allowance Payments                      $   875,314.62
           vi      Subsidy Payments                                $ 7,898,909.32
                                                                   ---------------
           vii     TOTAL INTEREST COLLECTIONS                      $24,524,256.48

     E     STUDENT LOAN NON-CASH INTEREST ACTIVITY
           i       Interest Accrual Adjustment                     $  (912,392.77)
           ii      Capitalized Interest                            $ 7,842,640.84
                                                                   ---------------
           iii     TOTAL NON-CASH INTEREST ADJUSTMENTS             $ 6,930,248.07

         --------------------------------------------------------------------------
     F     TOTAL STUDENT LOAN INTEREST ACTIVITY                    $31,454,504.55
         --------------------------------------------------------------------------
</TABLE>




SLM STUDENT LOAN TRUST 1996-2                  Page 2
<PAGE>   25
III. 1996-2  COLLECTION ACCOUNT ACTIVITY        10/01/96      THROUGH   12/31/96

<TABLE>
     <S>   <C>                                                                             <C>
     A     PRINCIPAL COLLECTIONS
           i       Principal Payments Received-Cash                                        $47,748,151.06 
           ii      Cash Forwarded by Administrator on behalf of Seller                     $ 1,974,745.35 
           iii     Cash Forwarded by Administrator on behalf of Servicer                   $    (2,138.67)
           iv      Cash Forwarded by Administrator for Consolidation Activity              $ 8,237,146.66 
                                                                                           ---------------
           v       TOTAL PRINCIPAL COLLECTIONS                                             $57,957,904.40 
                                                                                                          
     B     INTEREST COLLECTIONS                                                                           
           i       Interest Payments Received-Cash                                         $24,359,720.38 
           ii      Cash Forwarded by Administrator on behalf of Seller                     $    28,086.90 
           iii     Cash Forwarded by Administrator on behalf of Servicer                   $     1,549.44 
           iv      Cash Forwarded by Administrator for Consolidation Activity              $   134,899.76 
                                                                                           ---------------
           v       TOTAL INTEREST COLLECTIONS                                              $24,524,256.48 
                                                                                                          
     C     OTHER REIMBURSEMENTS                                                            $    52,733.19 
                                                                                                          
     D     ADMINISTRATOR ACCOUNT INVESTMENT INCOME                                         $   571,969.60 
                                                                                                          
                                                                                                          
                                                                                                          
     E     TOTAL FUNDS RECEIVED                                                            $83,106,863.67 
           (LESS: SERVICING FEES PREVIOUSLY REMITTED)                                      $(2,321,001.92)
           TOTAL FUNDS TRANSFERRED TO COLLECTION ACCOUNT                                   $80,785,861.75 
                                                                                                          
     F     SERVICING FEE CALCULATION-CURRENT MONTH                                                        
           i       Unit Charge Calculation                                                 $ 1,145,675.36 
           ii      Percentage of Principal Calculation                                     $ 1,583,634.96 
           iii     Lesser of Unit or Principal Calculation                                 $ 1,145,675.36 
                                                                                                          
     G     SERVICING FEES DUE FOR CURRENT PERIOD                                           $ 1,145,675.36 
                                                                                                          
     H     CARRYOVER SERVICING FEES DUE                                                    $ 1,341,202.24 
                   OCT 1996  Servicing Carryover               $  456,374.13                              
                   NOV 1996  Servicing Carryover               $  446,279.28
                   DEC 1996  Servicing Carryover               $  437,959.60
                                                               -------------
                                                               $1,340,613.01

             LESS: Servicing ADJ [A iii + B iii]               $      589.23
                                                               -------------
            TOTAL: CARRYOVER SERVICING FEE DUE                 $1,341,202.24
                                                               =============

     I     ADMINISTRATION FEES DUE                                                         $    20,000.00

           ----------------------------------------------------------------------------------------------
     J     TOTAL FEES DUE FOR PERIOD                                                       $ 2,506,877.60
           ----------------------------------------------------------------------------------------------
</TABLE>


SLM STUDENT LOAN TRUST 1996-2                  Page 3

<PAGE>   26




IV.  1996-2               PORTFOLIO CHARACTERISTICS

<TABLE>
<CAPTION>
                          -------------------------------------------------------------------------
                            WEIGHTED AVG COUPON      # OF  LOANS                        %          
- ---------------------------------------------------------------------------------------------------
STATUS                       09/30/96  12/31/96   09/30/96     12/31/96        09/30/96   12/31/96 
- ---------------------------------------------------------------------------------------------------
<S>                            <C>       <C>       <C>          <C>            <C>        <C>      
INTERIM:                                                                                           
  IN SCHOOL                                                                                        
    Current                    8.1569%   8.1586%    81,401       72,748        13.4112%   12.3006% 
                                                                                                   
  GRACE                                                                                            
    Current                    8.1539%   8.1494%    40,147       15,390         6.6144%    2.6022% 
                                                                                                   
- ---------------------------------------------------------------------------------------------------
TOTAL INTERIM                  8.1558%   8.1569%   121,548       88,138        20.0256%   14.9029% 
- ---------------------------------------------------------------------------------------------------
REPAYMENT                                                                                          
  ACTIVE                                                                                           
    Current                    8.2030%   8.2172%   348,505      370,603        57.4177%   62.6636% 
    31-60 Days Delinquent      8.2501%   8.2609%    23,070       23,294         3.8009%    3.9387% 
    61-90 Days Delinquent      8.2472%   8.2611%    14,766       10,553         2.4328%    1.7844% 
    91-120 Days Delinquent     8.2547%   8.2615%     8,538        7,084         1.4067%    1.1978% 
    greater than 120 Days                                                                          
       Delinquent              8.2534%   8.2639%    13,647       14,029         2.2484%    2.3721% 
                                                                                                   
 DEFERMENT                                                                                         
    Current                    8.2489%   8.2462%    53,162       53,437         8.7587%    9.0354% 
                                                                                                   
 FORBEARANCE                                                                                       
    Current                    8.2336%   8.2353%    20,304       18,978         3.3452%    3.2089% 
                                                                                                   
                                                                                                   
- ---------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                 8.217%    8.227%   481,992      497,978        79.4103%   84.2008% 
- ---------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)         0.1175%   0.0305%     3,424        5,301         0.5641%    0.8963% 
 AGED CLAIMS REJECTED (2)      0.0000%   0.0000%       -            -                0%         0% 
- ---------------------------------------------------------------------------------------------------
              GRAND TOTAL       8.202%    8.214%   606,964      591,417         100.00%    100.00% 
- ---------------------------------------------------------------------------------------------------


<CAPTION>
                          -------------------------------------------------------------------------
                                             PRINCIPAL AMOUNT                            %
- ---------------------------------------------------------------------------------------------------
STATUS                                09/30/96              12/31/96           09/30/96   12/31/96
- ---------------------------------------------------------------------------------------------------
<S>                               <C>                   <C>                    <C>        <C>
INTERIM:                       
  IN SCHOOL                    
    Current                       $  226,777,199.14     $  201,641,004.26      15.9687%   14.7297%
                               
  GRACE                        
    Current                       $  120,083,083.78     $   43,943,115.19       8.4557%    3.2100%
                               
- ---------------------------------------------------------------------------------------------------
TOTAL INTERIM                     $  346,860,282.92     $  245,584,119.45      24.4244%   17.9397%
- ---------------------------------------------------------------------------------------------------
REPAYMENT                      
  ACTIVE                       
    Current                       $  724,340,151.13     $  787,196,195.78      51.0050%   57.5040%
    31-60 Days Delinquent         $   51,250,739.52     $   51,713,949.40       3.6089%    3.7777%
    61-90 Days Delinquent         $   34,971,358.47     $   24,243,711.28       2.4625%    1.7710%
    91-120 Days Delinquent        $   19,851,809.69     $   16,383,542.17       1.3979%    1.1968%
    greater than 120 Days      
       Delinquent                 $   30,639,717.21     $   32,152,772.77       2.1575%    2.3487%
                               
 DEFERMENT                     
    Current                       $  147,701,768.70     $  146,748,670.79      10.4005%   10.7199%
                               
 FORBEARANCE                   
    Current                       $   57,054,348.03     $   53,579,343.33       4.0175%    3.9139%
                               
                               
- ---------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                   $1,065,809,892.75     $1,112,018,185.52      75.0498%   81.2320%
- ---------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)            $    7,466,557.86     $   11,338,304.48       0.5258%    0.8283%
 AGED CLAIMS REJECTED (2)         $             -       $             -              0%         0%
- ---------------------------------------------------------------------------------------------------
              GRAND TOTAL         $1,420,136,733.53     $1,368,940,609.45       100.00%    100.00%
- ---------------------------------------------------------------------------------------------------
</TABLE>

(1) CLAIMS FILED AND UNPAID; INCLUDES CLAIMS REJECTED AGED LESS THAN 6 MONTHS.
(2) CLAIMS REJECTED (SUBJECT TO CURE) AGED 6 MONTHS OR MORE; ALSO INCLUDES
    CLAIMS DEEMED INCURABLE PENDING REPURCHASE.



SLM STUDENT LOAN TRUST 1996-2                  Page 4
<PAGE>   27
V.         INTEREST CALCULATION

<TABLE>
     <S>   <C>                                                                            <C>
     A     Borrower Interest Accrued During Collection Period                             $    21,423,553.72
     B     Interest Subsidy Payments Accrued During Collection Period                     $     7,235,832.32
     C     SAP Payments Accrued During Collection Period                                  $       462,033.17
     D     INV  Earnings Accrued for Collection Period (RESERVE & COLLECTION ACTS)        $        59,718.11
     E     Investment Earnings (ADMINISTRATOR ACT)                                        $       571,969.60
                                                                                          ------------------ 
     F     NET EXPECTED INTEREST COLLECTIONS                                              $    29,753,106.92

     G     STUDENT LOAN RATE
           i       Days in Collection Period (10/01/96-12/31/96)                                          92
           ii      Days in Year                                                                          366
           iii     Net Expected Interest Collections                                      $    29,753,106.92
           iv      Primary Servicing Fee                                                  $     3,466,677.28
           v       Administration Fee                                                     $        20,000.00
           vi      Total Pool Balance at Beginning of Collection Period                   $ 1,435,808,978.27
           vii     STUDENT LOAN RATE                                                                 7.27776%
</TABLE>
<TABLE>
<CAPTION>
                                                    ACCRUED
                                                    INT FACTOR  ACCRUAL PERIOD
                                                    ----------  --------------
     <S>   <C>                                      <C>           <C>                                <C>
     H     Class A-1 T-Bill Based Interest Rate                                                      5.63192%
     I     CLASS A-1 INTEREST RATE                  0.014504110   (10/25/96-1/27/97)                 5.63192%
     J     Class A-2 T-Bill Based Interest Rate                                                      5.83191%
     K     CLASS A-2 INTEREST RATE                  0.015019178   (10/25/96-1/27/97)                 5.83191%
     L     Certificate T-Bill Based Rate of Return                                                   6.08192%
     M     CERTIFICATE RATE OF RETURN               0.015663014   (10/25/96-1/27/97)                 6.08192%
</TABLE>



SLM STUDENT LOAN TRUST 1996-2                  Page 5

<PAGE>   28
VI.        INPUTS FROM PREVIOUS QUARTERLY SERVICING REPORT             09/30/96

<TABLE>
     <S>   <C>                                                <C>
     A     Total Student Loan Pool Outstanding
           i     Current Pool Balance                         $1,420,136,733.54
           ii    Interest To Be Capitalized                   $   15,672,244.73
                                                              ------------------
           iii   TOTAL STUDENT LOAN POOL OUTSTANDING          $1,435,808,978.27
                                                              ==================

     B     Total Note and Certificate Factor                      0.94770993199
     C     TOTAL NOTE AND CERTIFICATE BALANCE                 $1,435,808,978.27
</TABLE>




<TABLE>
<CAPTION>
           --------------------------------------------------------------------------------------------------------------------
     D     NOTE BALANCE  10/25/96                                     CLASS A-1             CLASS A-2         CERTIFICATES
           --------------------------------------------------------------------------------------------------------------------
     <S>   <C>                                                        <C>                  <C>                 <C>
           i     Current Factor-10/25/96                                 0.9187476700         1.0000000000       1.0000000000
           ii    Note Principal Shortfall                             $          0.00      $          0.00     $         0.00
           iii   Expected Note Balance                                $895,778,978.27      $487,000,000.00     $53,030,000.00
                                                                      ----------------     ----------------    --------------- 
           iv    NOTE BALANCE                                         $895,778,978.27      $487,000,000.00     $53,030,000.00
     E     Interest Shortfall                                         $          0.00      $          0.00     $         0.00
     F     Interest Carryover                                         $          0.00      $          0.00     $         0.00
           --------------------------------------------------------------------------------------------------------------------


     G     Reserve Account Balance                                    $  3,589,522.45
     H     Unpaid Primary Servicing Fees from Prior Month(s)          $          0.00
     I     Unpaid Administration fees from Prior Quarter(s)           $          0.00
     J     Unpaid Carryover Servicing Fees from Prior Quarter(s)      $     52,607.23
     K     Interest Due on Upaid Carryover Servicing Fees             $        727.80
</TABLE>



SLM STUDENT LOAN TRUST 1996-2                  Page 6
<PAGE>   29
VII.       WATERFALL FOR DISTRIBUTIONS
<TABLE>
<CAPTION>
                                                                                                 REMAINING
                                                                                               FUNDS BALANCE
                                                                                               -------------
     <S>   <C>                                                                <C>              <C>
     A     Total Available Funds ( Sections III -E + V-D)                     $80,845,579.86   $80,845,579.86

     B     Primary Servicing Fees-Current Month                               $ 1,145,675.36   $79,699,904.50
     C     Administration Fee                                                 $    20,000.00   $79,679,904.50

     D     Noteholder's Interest Distribution Amount
           i       Class A-1                                                  $12,992,476.84   $66,687,427.66
           ii      Class A-2                                                  $ 7,314,339.69   $59,373,087.97
                                                                              ---------------
           iii     TOTAL NOTEHOLDER'S INTEREST DISTRIBUTION                   $20,306,816.53

     E     CERTIFICATEHOLDER'S RETURN DISTRIBUTION AMOUNT                     $   830,609.63   $58,542,478.34

     F     Noteholder's Principal Distribution Amount
           i       Class A-1                                                  $53,181,800.09   $ 5,360,678.25
           ii      Class A-2                                                  $         0.00   $ 5,360,678.25
                                                                              ---------------
           iii     TOTAL NOTEHOLDER'S PRINCIPAL DISTRIBUTION                  $53,181,800.09   

     G     CERTIFICATEHOLDER'S BALANCE DISTRIBUTION AMOUNT                    $         0.00   $ 5,360,678.25

     H     Increase to the Specified Reserve Account Balance                  $         0.00   $ 5,360,678.25

     I     Carryover Servicing Fees  (1)                                      $ 1,394,537.27   $ 3,966,140.98

     J     Noteholder's Interest Carryover
           i       Class A-1                                                  $         0.00   $ 3,966,140.98
           i       Class A-2                                                  $         0.00   $ 3,966,140.98
                                                                              ---------------
           iii     TOTAL NOTEHOLDER'S INTEREST CARRYOVER                      $         0.00

     K     CERTIFICATEHOLDER'S RETURN CARRYOVER                               $         0.00   $ 3,966,140.98

     L     EXCESS TO RESERVE ACCOUNT                                          $ 3,966,140.98   $         0.00
</TABLE>

           (1) Includes unpaid carryover fees from prior period with interest.
               (VI-J,K)



SLM STUDENT LOAN TRUST 1996-2                  Page 7
<PAGE>   30
VIII.     DISTRIBUTIONS

<TABLE>
<CAPTION>
          --------------------------------------------------------------------------------------------------------------------------
    A     DISTRIBUTION AMOUNTS                                                   CLASS A-1          CLASS A-2       CERTIFICATES
          --------------------------------------------------------------------------------------------------------------------------
    <S>   <C>                                                                 <C>                  <C>                  <C>
          i     Quarterly Interest Due                                        $   12,992,476.84    $7,314,339.69        $830,609.63
          ii    Quarterly Interest Paid                                       $   12,992,476.84    $7,314,339.69        $830,609.63
                                                                              ------------------   --------------       ------------
          iii   INTEREST SHORTFALL                                            $           (0.00)   $        0.00        $      0.00

          iv    Interest Carryover Due                                        $            0.00    $        0.00        $      0.00
          v     Interest Carryover Paid                                       $            0.00    $        0.00        $      0.00
                                                                              ------------------   --------------       ------------
          vi    INTEREST CARRYOVER                                            $            0.00    $        0.00        $      0.00

          vii   Quarterly Principal Due (B)                                   $   53,181,800.09    $        0.00        $      0.00
          viii  Quarterly Principal Paid                                      $   53,181,800.09    $        0.00        $      0.00
                                                                              ------------------   --------------       ------------
          ix    QUARTERLY PRINCIPAL SHORTFALL                                 $            0.00    $        0.00        $      0.00

          --------------------------------------------------------------------------------------------------------------------------
          x     Total Distribution Amount                                     $   66,174,276.93    $7,314,339.69        $830,609.63
          --------------------------------------------------------------------------------------------------------------------------

    B     PRINCIPAL DISTRIBUTION RECONCILIATION
          i     Notes and Certificates Principal Balance   12/31/96           $1,435,808,978.27
          ii    Pool Balance  12/31/96                                        $1,382,627,178.18
                                                                              ------------------   
          iii   Pool Exceeding Notes and Certificate Balance (i-ii)           $   53,181,800.09
                                                                              ------------------   
          iv    Principal Distribution Amount                                 $   53,181,800.09
                                                                              ==================   

    C     Total Principal Distribution                                        $   53,181,800.09
    D     Total Interest Distribution                                         $   21,137,426.16
                                                                              ------------------   
    E     TOTAL CASH DISTRIBUTIONS-NOTE AND CERTIFICATES                      $   74,319,226.25
</TABLE>

<TABLE>
<CAPTION>
          --------------------------------------------------------------------------------------
    F     NOTE & CERTIFICATE BALANCES                              10/25/96            01/27/97
          --------------------------------------------------------------------------------------
          <S>   <C>                       <C>               <C>               <C>
          i     A-1 Note Balance          (78442GAA4)       $895,778,978.27   $  842,597,178.18
                A-1 Note Pool Factor                           0.9187476700        0.8642022340

          ii    A-2 Note Balance          (78442GAB2)       $487,000,000.00   $  487,000,000.00
                A-2 Note Pool Factor                           1.0000000000        1.0000000000

          iii   Certificate Balance       (78442GAC0)       $ 53,030,000.00   $   53,030,000.00
                Certificate Pool Factor                        1.0000000000        1.0000000000
          --------------------------------------------------------------------------------------
</TABLE>

<TABLE>
    <S>   <C>                                                                                      <C>
    G     RESERVE ACCOUNT RECONCILIATION
          i     Beginning of Period Balance                                                        $3,589,522.45
          ii    Deposits to correct Shortfall                                                      $        0.00
          iii   Deposits from Excess Servicing                                                     $3,966,140.98
                                                                                                   --------------
          iv    Total Reserve Account Balance Available                                            $7,555,663.43
          v     Required Reserve Account Balance                                                   $3,456,567.95

          vi    Shortfall Carried to Next Period                                                   $        0.00
          vii   Excess Reserve -release to SLM Funding Corp.                                       $4,099,095.48
          viii  Ending Reserve Account Balance                                                     $3,456,567.95
</TABLE>




SLM STUDENT LOAN TRUST 1996-2                  Page 8

<PAGE>   31
IX.  1996-HISTORICAL POOL INFORMATION


<TABLE>
<CAPTION>
                                                          -----------------------------------------------------------------------
                                                             10/1/96-12/31/96          7/1/96-9/30/96            4/8/96-6/30/96
- ---------------------------------------------------------------------------------------------------------------------------------
  <S>   <C>                                                  <C>                      <C>                      <C>
BEGINNING STUDENT LOAN PORTFOLIO BALANCE                     $1,420,136,733.54        $1,468,666,284.76        $1,499,948,797.64
- ---------------------------------------------------------------------------------------------------------------------------------
        STUDENT LOAN PRINCIPAL ACTIVITY                      
        i         Regular Principal Collections              $   35,315,114.14        $   37,115,081.98        $   32,387,112.35
        ii        Principal Collections from Guarantor       $   12,433,036.92        $    1,608,162.94        $      232,013.54
        iii       Principal Reimbursements                   $   10,214,361.81        $   14,131,988.74        $    5,880,791.49
        iv        Other System Adjustments                   $       (4,608.47)       $       (1,484.32)       $       (1,709.32)
                                                            ---------------------------------------------------------------------
        v         Total Principal Collections                $   57,957,904.40        $   52,853,749.34        $   38,498,208.06
        Student Loan Non-Cash Principal Activity             
        i         Other Adjustments                          $    1,080,860.52        $    1,010,052.49        $      700,262.22
        ii        Capitalized Interest                       $   (7,842,640.84)       $   (5,334,250.61)       $   (7,915,957.40)
                                                            ---------------------------------------------------------------------
        iii       Total Non-Cash Principal Activity          $   (6,761,780.32)       $   (4,324,198.12)       $   (7,215,695.18)
                                                             
- ---------------------------------------------------------------------------------------------------------------------------------
  (-)   TOTAL STUDENT LOAN PRINCIPAL ACTIVITY                $   51,196,124.08        $   48,529,551.22        $   31,282,512.88
- ---------------------------------------------------------------------------------------------------------------------------------
                                                             
        STUDENT LOAN INTEREST ACTIVITY                       
        i         Regular Interest Collections               $   14,810,858.15        $   15,710,941.68        $   13,326,889.75
        ii        Interest Claims Received from Guarantors   $      774,638.29        $       65,496.81        $        4,693.63
        iii       Interest Reimbursements                    $      166,885.49        $      161,064.40        $       90,073.72
        iv        Other System Adjustments                   $       (2,349.39)       $          (18.17)       $          309.87
        v         Special Allowance Payments                 $      875,314.62        $      481,518.57        $             -  
        vi        Subsidy Payments                           $    7,898,909.32        $    9,023,779.62        $             -  
                                                            ---------------------------------------------------------------------
        vii       Total Interest Collections                 $   24,524,256.48        $   25,442,782.91        $   13,421,966.97
                                                             
        Student Loan Non-Cash Interest Activity              
        i         Interest Accrual Adjustment                $     (912,392.77)       $     (986,037.72)       $     (689,754.99)
        ii        Capitalized Interest                       $    7,842,640.84        $    5,334,250.61        $    7,915,957.40
                                                            ---------------------------------------------------------------------
        iii       Total Non-Cash Interest Adjustments        $    6,930,248.07        $    4,348,212.89        $    7,226,202.41
                                                            ---------------------------------------------------------------------
        TOTAL STUDENT LOAN INTEREST ACTIVITY                 $   31,454,504.55        $   29,790,995.80        $   20,648,169.38
                                                             
  (=)   ENDING STUDENT LOAN PORTFOLIO BALANCE                $1,368,940,609.46        $1,420,136,733.54        $1,468,666,284.76
- ---------------------------------------------------------------------------------------------------------------------------------
  (+)   INTEREST TO BE CAPITALIZED                              $13,686,568.72        $   15,672,244.73        $   14,944,789.14
- ---------------------------------------------------------------------------------------------------------------------------------
                                                             
- ---------------------------------------------------------------------------------------------------------------------------------
  (=)   TOTAL POOL                                           $1,382,627,178.18        $1,435,808,978.27        $1,483,611,073.90
- ---------------------------------------------------------------------------------------------------------------------------------
</TABLE>

SLM STUDENT LOAN TRUST 1996-2                  Page 9
<PAGE>   32
X.                          PAYMENT HISTORY AND CPRS
<TABLE>
<CAPTION>
                DISTRIBUTION        ACTUAL         SINCE ISSUED
                    DATE         POOL BALANCES         CPR *
                     <S>        <C>                     <C>
                     Apr-96     $1,517,607,923           -

                     Jul-96     $1,483,611,074          4.1%

                     Oct-96     $1,435,808,978          5.2%

                     Jan-97     $1,382,627,178          6.2%
</TABLE>


  * "SINCE ISSUED CPR" IS BASED ON THE CURRENT PERIOD'S ENDING POOL BALANCE
CALCULATED AGAINST THE ORIGINAL POOL BALANCE AND ASSUMING CUTOFF DATE POOL DATA.


SLM STUDENT LOAN TRUST 1996-2                  Page 10
<PAGE>   33





                         SLM STUDENT LOAN TRUST 1996-2
                             OFFICER'S CERTIFICATE


<TABLE>
<S>                                             <C>
INDENTURE TRUSTEE                               ELIGIBLE LENDER TRUSTEE
Bankers Trust Company                           Chase Manhattan Bank (USA)
Four Albany Street                              1 Chase Manhattan Plaza
New York, NY 10006                              Wilmington, Delaware 19801-1398
Attn: Corporate Trust & Agency Group            Attn: Manager, Trust Division
(212) 250-6547                                  (302) 575-5022
                                                
                                                
ADMINISTRATOR                                   SERVICER
Sallie Mae                                      Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                          11600 Sallie Mae Drive
Reston, Virginia 20190-4798                     Reston, Virginia 20193
Attn: Director, Corporate Finance Operations    ATTN: Director ABS Administration
(703) 810-7711
</TABLE>


================================================================================

Pursuant to Section 3.1 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performances of the Servicer and Administrator from October 1, 1996 through
December 31, 1996 has been made, and (ii) to the best of our knowledge, the
Servicer and Administrator have fulfilled their obligations under the Agreement
throughout such period.

January 21, 1997

SALLIE MAE, AS ADMINISTRATOR

/s/  Robert R. Levine             
- -------------------------------------
Robert R. Levine, Vice President
  and Treasurer

/s/  Mark G. Overend               
- -------------------------------------
Mark G. Overend, Vice President
  and Controller
<PAGE>   34
             
         
SLM STUDENT LOAN TRUST 1996-3
QUARTERLY SERVICING REPORT                                   
REPORT DATE:                12/31/96         REPORTING PERIOD:  10/1/96-12/31/96

I.       DEAL PARAMETERS

<TABLE>  
<CAPTION>
         --------------------------------------------------------------------------------------------------------------
    A    STUDENT LOAN PORTFOLIO CHARACTERISTICS                 09/30/96           ACTIVITY               12/31/96
         --------------------------------------------------------------------------------------------------------------
    <S>  <C>                                             <C>                   <C>                <C>
         i    Portfolio Balance                            $1,447,395,386.24    ($33,747,489.63)  $1,413,647,896.61
         ii   Interest to be Capitalized                   $   18,816,445.60                      $   15,933,644.48
                                                           -----------------                      -----------------
         iii  Total Pool                                   $1,466,211,831.84                      $1,429,581,541.09
         iv   Reserve Account Balance                      $    3,756,760.00                      $    3,674,921.48
                                                           -----------------                      -----------------
    B    v    TOTAL ADJUSTED POOL                          $1,469,968,591.84                      $1,433,256,462.57
                                                           =================                      =================
         i    Weighted Average Coupon (WAC)                           8.1609%                                8.1865%
         ii   Weighted Average Remaining Term                         112.60                                 111.00
         iii  Number of Loans                                        513,697                                505,341
         iv   Number of Borrowers                                    205,646                                202,779

         --------------------------------------------------------------------------------------------------------------

<CAPTION>
         --------------------------------------------------------------------------------------------------------------------------
    C    NOTES AND CERTIFICATES                 SPREAD     BALANCE 10/25/96       % OF POOL        BALANCE 1/27/97      % OF POOL
         --------------------------------------------------------------------------------------------------------------------------
   <S>   <C>                   <C>             <C>        <C>                        <C>         <C>                     <C>
         i    A-1 Notes        78442GAD8        0.49%      $  864,218,591.84          58.792%    $   827,506,462.57       57.736%
         ii   A-2 Notes        78442GAE6        0.68%      $  553,000,000.00          37.620%    $   553,000,000.00       38.583%
         iii  Certificates     78442GAF3        0.95%      $   52,750,000.00           3.589%    $    52,750,000.00        3.680%
         --------------------------------------------------------------------------------------------------------------------------
         iv   TOTAL NOTES AND CERTIFICATES                 $1,469,968,591.84         100.000%     $1,433,256,462.57      100.000%
         ==========================================================================================================================

    D    RESERVE ACCOUNT                                            10/25/96                               01/27/97
         --------------------------------------------------------------------------------------------------------------------------
         i    Required Reserve Acct Deposit (%)                  0.25%                                  0.25%
         ii   Reserve Acct Initial Deposit ($)             $    3,756,760.00
         iii  Specified Reserve Acct Balance ($)           $    3,674,921.48                      $    3,573,953.85
         iv   Reserve Account Floor Balance ($)            $    1,502,704.00                      $    1,502,704.00
         v    Current Reserve Acct Balance ($)             $    3,674,921.48                      $    3,573,953.85
         --------------------------------------------------------------------------------------------------------------------------
</TABLE>
SLM STUDENT LOAN TRUST 1996-3                                   Page 1

<PAGE>   35


II. 1996-3 TRANSACTIONS FROM:            10/01/96         through:      12/31/96

<TABLE>

     <S>   <C>                                                         <C>
     A     STUDENT LOAN PRINCIPAL ACTIVITY
           i       Regular Principal Collections                       $      25,708,925.38
           ii      Principal Collections from Guarantor                $       3,613,377.63
           iii     Principal Reimbursements                            $      13,087,681.14
           iv      Other System Adjustments                            $          (7,207.52)
                                                                       --------------------
           v       TOTAL PRINCIPAL COLLECTIONS                         $      42,402,776.63

     B     STUDENT LOAN NON-CASH PRINCIPAL ACTIVITY
           i       Other Adjustments                                   $         936,515.02 
           ii      Capitalized Interest                                $      (9,591,802.02)
                                                                       --------------------
           iii     Total Non-Cash Principal Activity                   $      (8,655,287.00)

           --------------------------------------------------------------------------------
     C     TOTAL STUDENT LOAN PRINCIPAL ACTIVITY                       $      33,747,489.63 
           --------------------------------------------------------------------------------
     D     STUDENT LOAN INTEREST ACTIVITY                                                   
           i       Regular Interest Collections                        $      13,497,348.26 
           ii      Interest Claims Received from Guarantors            $         184,632.17 
           iii     Interest Reimbursements                             $         225,135.74 
           iv      Other System Adjustments                            $            (822.59)
           v       Special Allowance Payments                          $         799,805.67 
           vi      Subsidy Payments                                    $       9,124,830.54 
                                                                       --------------------
           vii     TOTAL INTEREST COLLECTIONS                          $      23,830,929.79 
                                                                                            
     E     STUDENT LOAN NON-CASH INTEREST ACTIVITY                                          
           i       Interest Accrual Adjustment                         $        (906,394.19)
           ii      Capitalized Interest                                $       9,591,802.02 
                                                                       --------------------
           iii     TOTAL NON-CASH INTEREST ADJUSTMENTS                 $       8,685,407.83 

           --------------------------------------------------------------------------------
     F     TOTAL STUDENT LOAN INTEREST ACTIVITY                        $      32,516,337.62 
           --------------------------------------------------------------------------------
                                                                                         
</TABLE>


SLM STUDENT LOAN TRUST 1996-3        Page 2

<PAGE>   36

III. 1996-3 COLLECTION ACCOUNT ACTIVITY           10/01/96   THROUGH   12/31/96

<TABLE>

     <S>   <C>                                                                            <C>
     A     PRINCIPAL COLLECTIONS
           i       Principal Payments Received-Cash                                       $    29,322,303.01 
           ii      Cash Forwarded by Administrator on behalf of Seller                    $     2,551,658.56 
           iii     Cash Forwarded by Administrator on behalf of Servicer                  $           161.99 
           iv      Cash Forwarded by Administrator for Consolidation Activity             $    10,528,653.07 
                                                                                          ------------------
           v       TOTAL PRINCIPAL COLLECTIONS                                            $    42,402,776.63 
                                                                                                             
     B     INTEREST COLLECTIONS                                                                              
           i       Interest Payments Received-Cash                                        $    23,606,616.64 
           ii      Cash Forwarded by Administrator on behalf of Seller                    $        55,988.69 
           iii     Cash Forwarded by Administrator on behalf of Servicer                  $           102.63 
           iv      Cash Forwarded by Administrator for Consolidation Activity             $       168,221.83
                                                                                          ------------------
           v       TOTAL INTEREST COLLECTIONS                                             $    23,830,929.79 
                                                                                                             
     C     OTHER REIMBURSEMENTS                                                           $        49,819.06 
                                                                                                             
     D     ADMINISTRATOR ACCOUNT INVESTMENT INCOME                                        $       488,029.44 
                                                                                                             
     E     FUNDS BORROWED FROM NEXT COLLECTION PERIOD                                     $              - 
                                                                                                             
     F     TOTAL FUNDS RECEIVED                                                           $    66,771,554.92 
           (LESS: SERVICING FEES PREVIOUSLY REMITTED)                                     $    (1,932,903.93)
           --------------------------------------------------------------------------------------------------
           TOTAL FUNDS TRANSFERRED TO COLLECTION ACCOUNT                                  $    64,838,650.99 
           --------------------------------------------------------------------------------------------------
     G     SERVICING FEE CALCULATION-CURRENT MONTH                                                           
           i       Unit Charge Calculation                                                $       960,091.11 
           ii      Percentage of Principal Calculation                                    $     1,390,713.66 
           iii     Lesser of Unit or Principal Calculation                                $       960,091.11 
                                                                                                             
     H     SERVICING FEES DUE FOR CURRENT PERIOD                                          $       960,091.11 
                                                                                                             
     I     CARRYOVER SERVICING FEES DUE                                                   $     1,308,865.78 
                   OCT 1996  Servicing Carryover         $      442,617.84
                   NOV 1996  Servicing Carryover         $      435,890.01
                   DEC 1996  Servicing Carryover         $      430,622.55
                                                         -----------------
                                                         $    1,309,130.40

             LESS: Servicing ADJ [A iii + B iii]         $         (264.62)
                                                         -----------------
            TOTAL: CARRYOVER SERVICING FEE DUE           $    1,308,865.78
                                                         =================
     J     ADMINISTRATION FEES DUE                                                        $        20,000.00

           ---------------------------------------------------------------------------------------------------
     K     TOTAL FEES DUE FOR PERIOD                                                      $     2,288,956.89
           ---------------------------------------------------------------------------------------------------

</TABLE>

SLM STUDENT LOAN TRUST 1996-3      Page 3
<PAGE>   37


IV. 1996-3                 PORTFOLIO CHARACTERISTICS

<TABLE>
<CAPTION>
                           -------------------------------------------------------------------------------
                           WEIGHTED AVG COUPON            # OF  LOANS                    %                    
- ---------------------------------------------------------------------------------------------------------
STATUS                       09/30/96    12/31/96      09/30/96     12/31/96       09/30/96   12/31/96   
- ---------------------------------------------------------------------------------------------------------
<S>                          <C>        <C>            <C>           <C>           <C>        <C>                     
INTERIM:                                                                                            
  IN SCHOOL                                                                                         
    Current                    7.9340%   7.9334%        101,470       94,234        19.7529%   18.6476%  
                                                                                                    
  GRACE                                                                                             
    Current                    8.0091%   7.9883%         47,969       15,004         9.3380%    2.9691%  
- ---------------------------------------------------------------------------------------------------------
TOTAL INTERIM                  7.9597%   7.9408%        149,439      109,238        29.0909%   21.6167%  
- ---------------------------------------------------------------------------------------------------------
REPAYMENT                                                                                           
  ACTIVE                                                                                            
    Current                    8.2642%   8.2686%        248,753      278,571        48.4241%   55.1254%  
    31-60 Days Delinquent      8.2676%   8.2862%         21,367       22,394         4.1595%    4.4315%  
    61-90 Days Delinquent      8.2687%   8.2822%         14,785       10,940         2.8782%    2.1649%  
    91-120 Days Delinquent     8.2780%   8.2858%          9,010        6,570         1.7540%    1.3001%  
    greater than
       120 Days Delinquent     8.2833%   8.2808%         11,484       13,795         2.2356%    2.7298%  
                                                                                                    
 DEFERMENT                                                                                          
    Current                    8.2878%   8.2584%         39,556       41,434         7.7003%    8.1992%  
                                                                                                    
 FORBEARANCE                                                                                        
    Current                    8.2738%   8.2841%         19,034       17,659         3.7053%    3.4945%  
                                                                                                    
- ---------------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                 8.269%    8.270%        363,989      391,363        70.8568%   77.4453%  
- ---------------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)         8.3370%   8.2949%            269        4,740         0.0524%    0.9380%  
 AGED CLAIMS REJECTED (2)      0.0000%   0.0000%            -            -                0%         0%  
- ---------------------------------------------------------------------------------------------------------
              GRAND TOTAL       8.161%    8.186%        513,697      505,341         100.00%    100.00%  
- ---------------------------------------------------------------------------------------------------------
<CAPTION>                               
                                -------------------------------------------------------------------------
                                           Principal Amount                               %                   
- ---------------------------------------------------------------------------------------------------------
STATUS                           09/30/96              12/31/96                09/30/96      12/31/96 
- ---------------------------------------------------------------------------------------------------------
<S>                             <C>                     <C>                      <C>        <C>     
INTERIM:                                                                                             
  IN SCHOOL                                                                                          
    Current                     $    328,657,204.53     $  305,850,690.35         22.7068%   21.6356%
                                                                                                    
  GRACE                                                                                             
    Current                     $    170,566,666.58     $   47,412,073.60         11.7844%    3.3539%
                                                                                                     
- ---------------------------------------------------------------------------------------------------------
TOTAL INTERIM                   $    499,223,871.11     $  353,262,763.95         34.4912%   24.9894%
- ---------------------------------------------------------------------------------------------------------
REPAYMENT                                                                                            
  ACTIVE                                                                                             
    Current                     $    642,217,973.46     $  745,194,752.38         44.3706%   52.7143%
    31-60 Days Delinquent       $     52,352,839.22     $   56,664,724.69          3.6170%    4.0084%                 
    61-90 Days Delinquent       $     35,777,881.13     $   26,931,638.34          2.4719%    1.9051%                 
    91-120 Days Delinquent      $     22,293,783.91     $   15,681,575.81          1.5403%    1.1093%
    greater than
       120 Days Delinquent      $     28,877,998.95     $   32,599,241.81          1.9952%    2.3060%
                                                                                                     
 DEFERMENT                                                                                           
    Current                     $    111,224,735.88     $  119,074,239.77          7.6845%    8.4232%
                                                                                                   
 FORBEARANCE                                                                                        
    Current                     $     54,775,608.55     $   52,575,819.13          3.7844%    3.7192%
- ---------------------------------------------------------------------------------------------------------
TOTAL REPAYMENT                 $    947,520,821.10     $1,048,721,991.93         65.4639%   74.1855%
- ---------------------------------------------------------------------------------------------------------
 CLAIMS IN PROCESS (1)          $        650,694.03     $   11,663,140.73          0.0450%    0.8250%
 AGED CLAIMS REJECTED (2)       $               -       $            -                  0%         0%
- ---------------------------------------------------------------------------------------------------------
             GRAND TOTAL        $  1,447,395,386.24     $1,413,647,896.61          100.00%    100.00%
- ---------------------------------------------------------------------------------------------------------
</TABLE>

(1) CLAIMS FILED AND UNPAID; INCLUDES CLAIMS REJECTED AGED LESS THAN 6 MONTHS.
(2) CLAIMS REJECTED (SUBJECT TO CURE) AGED 6 MONTHS OR MORE; ALSO INCLUDES
    CLAIMS DEEMED INCURABLE PENDING REPURCHASE.

        
SLM STUDENT LOAN TRUST 1996-3      Page 4
         
         
<PAGE>   38

V. 1996-3  INTEREST CALCULATION

<TABLE>
    <S>    <C>                                                                              <C>
     A     Borrower Interest Accrued During Collection Period                               $    21,153,094.37
     B     Interest Subsidy Payments Accrued During Collection Period                       $     8,129,108.57
     C     SAP Payments Accrued During Collection Period                                    $       388,034.18
     D     INV  Earnings Accrued for Collection Period (RESERVE & COLLECTION ACTS)          $        59,906.66
     E     Investment Earnings (ADMINISTRATOR ACT)                                          $       488,029.44
                                                                                            ------------------
     F     NET EXPECTED INTEREST COLLECTIONS                                                $    30,218,173.22

     G     STUDENT LOAN RATE
           i       Days in Collection Period      (10/1/96-12/31/96)                                        92
           ii      Days in Year                                                                            366
           iii     Net Expected Interest Collections                                        $    30,218,173.22
           iv      Primary Servicing Fee                                                    $     2,892,995.04
           v       Administration Fee                                                       $        20,000.00
           vi      Total Pool Balance at Beginning of Collection Period                     $ 1,466,211,831.84
           vii     STUDENT LOAN RATE                                                                   7.40869%
                                                       ACCRUED                      
                                                     INT FACTOR     ACCRUAL PERIOD
                                                     ----------     --------------
     H     Class A-1 T-Bill Based Interest Rate                                                        5.61191%
     I     CLASS A-1 INTEREST RATE                   0.014452603   (10/25/96-1/27/96)                  5.61191%
     J     Class A-2 T-Bill Based Interest Rate                                                        5.80191%
     K     CLASS A-2 INTEREST RATE                   0.014941918   (10/25/96-1/27/96)                  5.80191%
     L     Certificate T-Bill Based Rate of Return                                                     6.07191%
     M     CERTIFICATE RATE OF RETURN                0.015637260   (10/25/96-1/27/96)                  6.07191%

- -----------------------------------------------------------------------------------------------------------------------
</TABLE>
SLM STUDENT LOAN TRUST 1996-3        Page 5

<PAGE>   39

VI. 1996-3 INPUTS FROM PREVIOUS QUARTERLY SERVICING REPORTS            09/30/96

<TABLE>

     <S>   <C>                                                         <C>                     
     A     Total Student Loan Pool Outstanding
           i     Portfolio Balance                                     $  1,447,395,386.24
           ii    Interest To Be Capitalized                            $     18,816,445.60
                                                                       -------------------
           iii   Total Pool                                            $  1,466,211,831.84
           iv    Reserve Account Balance                               $      3,756,760.00
                                                                       -------------------
           v     TOTAL ADJUSTED POOL BALANCE                           $  1,469,968,591.84
                                                                       ===================

     B     Total Note and Certificate Factor                                 0.97558891113
     C     TOTAL NOTE AND CERTIFICATE BALANCE                          $  1,469,968,591.84
<CAPTION>
           ----------------------------------------------------------------------------------------------------------------------
     D     NOTE BALANCE    10/25/96                                        CLASS A-1             CLASS A-2         CERTIFICATES
           ----------------------------------------------------------------------------------------------------------------------
    <S>    <C>                                                         <C>                     <C>                <C>
           i     Current Factor-10/25/96                                      0.9591771275        1.0000000000      1.0000000000
           ii    Note Principal Shortfall                              $              0.00     $          0.00    $         0.00
           iii   Expected Note Balance                                 $    864,218,591.84     $553,000,000.00    $52,750,000.00
                                                                       -------------------     ---------------    --------------
           iv    NOTE BALANCE                                          $    864,218,591.84     $553,000,000.00    $52,750,000.00
     E     Interest Shortfall                                          $              0.00     $          0.00    $         0.00
     F     Interest Carryover                                          $              0.00     $          0.00    $         0.00
           ----------------------------------------------------------------------------------------------------------------------
                                                                          
     G     Reserve Account Balance                                     $      3,674,921.48
     H     Unpaid Primary Servicing Fees from Prior Month(s)           $              0.00
     I     Unpaid Administration fees from Prior Quarter(s)            $              0.00
     J     Unpaid Carryover Servicing Fees from Prior Quarter(s)       $              0.00
     K     Interest Due on Upaid Carryover Servicing Fees              $              -
- ---------------------------------------------------------------------------------------------------------------------------------
</TABLE>


SLM STUDENT LOAN TRUST 1996-3        Page 6
<PAGE>   40

VII. 1996-3    WATERFALL FOR DISTRIBUTIONS

<TABLE>
                                                                                                   REMAINING  
                                                                                                  FUNDS BALANCE       
                                                                                                  -------------
     <S>   <C>                                                          <C>                   <C>
     A     Total Available Funds ( Sections III -F + V-D)               $  64,898,557.65      $   64,898,557.65     
     B     Primary Servicing Fees-Current Month                         $     960,091.11      $   63,938,466.54
     C     Administration Fee                                           $      20,000.00      $   63,918,466.54
                                                                        
     D     Noteholder's Interest Distribution Amount                    
           i       Class A-1                                            $  12,490,208.21      $   51,428,258.33
           ii      Class A-2                                            $   8,262,880.65      $   43,165,377.68
                                                                        ----------------
           iii     TOTAL NOTEHOLDER'S INTEREST DISTRIBUTION             $  20,753,088.86   
                                                                                         
     E     CERTIFICATEHOLDER'S RETURN DISTRIBUTION AMOUNT               $     824,865.47      $   42,340,512.21
                                                                                         
     F     Noteholder's Principal Distribution Amount                                    
           i       Class A-1                                            $  36,712,129.27      $    5,628,382.94
           ii      Class A-2                                            $           0.00      $    5,628,382.94
                                                                        ----------------
           iii     TOTAL NOTEHOLDER'S PRINCIPAL DISTRIBUTION            $  36,712,129.27   
                                                                                         
     G     CERTIFICATEHOLDER'S BALANCE DISTRIBUTION AMOUNT              $           0.00      $    5,628,382.94
                                                                                         
     H     Increase to the Specified Reserve Account Balance            $           0.00      $    5,628,382.94
                                                                                         
     I     Carryover Servicing Fees                                     $   1,308,865.78      $    4,319,517.16
                                                                                         
     J     Noteholder's Interest Carryover                                               
           i       Class A-1                                            $           0.00      $    4,319,517.16
           ii      Class A-2                                            $           0.00      $    4,319,517.16
                                                                        ----------------
           iii     TOTAL NOTEHOLDER'S INTEREST CARRYOVER                $           0.00   
                                                                                         
     K     CERTIFICATEHOLDER'S RETURN CARRYOVER                         $           0.00      $    4,319,517.16
                                                                                         
     L     EXCESS TO RESERVE ACCOUNT                                    $   4,319,517.16      $            0.00

</TABLE>


SLM STUDENT LOAN TRUST 1996-3        Page 7
<PAGE>   41

VIII. 1996-3  DISTRIBUTIONS

<TABLE>
<CAPTION>
               ------------------------------------------------------------------------------------------------------------------
     A         DISTRIBUTION AMOUNTS                                                 CLASS A-1        CLASS A-2     CERTIFICATES
               ------------------------------------------------------------------------------------------------------------------
    <S>        <C>                                                                 <C>                 <C>             <C>

               i              Quarterly Interest Due                               $   12,490,208.21   $8,262,880.65   $824,865.47
               ii             Quarterly Interest Paid                              $   12,490,208.21   $8,262,880.65   $824,865.47
                                                                                   -----------------   -------------   -----------
               iii            INTEREST SHORTFALL                                   $            0.00   $        0.00   $      0.00
                                                                                                                              
               iv             Interest Carryover Due                               $            0.00   $        0.00   $      0.00
               v              Interest Carryover Paid                              $            0.00   $        0.00   $      0.00
                                                                                   -----------------   -------------   -----------
               vi             INTEREST CARRYOVER                                   $            0.00   $        0.00   $      0.00
                                                                                                                              
               vii            Quarterly Principal Due (B)                          $   36,712,129.27   $        0.00   $      0.00
               viii           Quarterly Principal Paid                             $   36,712,129.27   $        0.00   $      0.00
                                                                                   -----------------   -------------   -----------
               ix             QUARTERLY PRINCIPAL SHORTFALL                        $           $0.00   $        0.00   $      0.00
               -------------------------------------------------------------------------------------------------------------------
               x              Total Distribution Amount                            $   49,202,337.48   $8,262,880.65   $824,865.47
               -------------------------------------------------------------------------------------------------------------------

       B       PRINCIPAL DISTRIBUTION RECONCILIATION                              
               i   Notes and Certificates Principal Balance   12/31/96             $1,469,968,591.84
               ii   Adjusted Pool Balance  12/31/96                                $1,433,256,462.57
                                                                                   -----------------
               iii Adjusted Pool Exceeding Notes and Certificate Balance (i-ii)    $   36,712,129.27
                                                                                   -----------------
               iv  PRINCIPAL  DISTRIBUTION AMOUNT                                  $   36,712,129.27
                                                                                   =================    
       C       Total Principal Distribution                                        $   36,712,129.27
       D       Total Interest Distribution                                         $   21,577,954.33
                                                                                   -----------------
       E       TOTAL CASH DISTRIBUTIONS-NOTE AND CERTIFICATES                      $   58,290,083.60
               -------------------------------------------------------------------------------------
       F       NOTE & CERTIFICATE BALANCES                        10/25/96              01/27/97
               -------------------------------------------------------------------------------------
               i   A-1 Note Balance             (78442GAD8)    $864,218,591.84     $  827,506,462.57
                   A-1 Note Pool Factor                           0.9591771275          0.9184311460
                                                                                    
               ii  A-2 Note Balance             (78442GAE6)    $553,000,000.00     $  553,000,000.00
                   A-2 Note Pool Factor                           1.0000000000          1.0000000000
                                                                                   
               iii Certificate Balance          (78442GAF3)     $52,750,000.00     $   52,750,000.00
                   Certificate Pool Factor                        1.0000000000          1.0000000000
                                                                                   
       G       RESERVE ACCOUNT RECONCILIATION                                      
               i           Beginning of Period Balance                                                 $3,674,921.48
               ii          Deposits to correct Shortfall                                               $        0.00
               iii         Deposits from Excess Servicing                                              $4,319,517.16
                                                                                                       -------------
               iv          Total Reserve Account Balance Available                                     $7,994,438.64
               v           Required Reserve Account Balance                                            $3,573,953.85
                                                                                                       
               vi          Shortfall Carried to Next Period                                            $        0.00
               vii         Excess Reserve -release to SLM Funding Corp                                 $4,420,484.79
               viii        Ending Reserve Account Balance                                              $3,573,953.85


</TABLE>

SLM STUDENT LOAN TRUST 1996-3                                   Page 8
<PAGE>   42


IX.  1996-3 HISTORICAL POOL INFORMATION

<TABLE>
<CAPTION>
                                                             ----------------------------------------------
                                                                 10/1/96-12/31/96        6/17/96-9/30/96
           <S>                                                  <C>                       <C>
          -------------------------------------------------------------------------------------------------
          BEGINNING STUDENT LOAN PORTFOLIO BALANCE              $ 1,447,395,386.24       $1,485,028,174.57
          -------------------------------------------------------------------------------------------------

                  STUDENT LOAN PRINCIPAL ACTIVITY               
                  i    Regular Principal Collections            $    25,708,925.38       $   30,349,661.79
                  ii   Principal Collections from Guarantor     $     3,613,377.63       $      489,106.84
                  iii  Principal reimbursements                 $    13,087,681.14       $   12,486,491.73
                  iv   Other Sytem Adjustments                  $        (7,207.52)      $        5,047.44
                                                                ------------------       -----------------
                  v    TOTAL PRINCIPAL COLLECTIONS              $    42,402,776.63       $   43,330,307.80
                                                                
                  Student Loan Non-Cash Principal Activity      
                  i    Other Adjustments                        $       936,515.02       $    1,290,030.17
                  ii   Capitalized Interest                     $    (9,591,802.02)      $   (6,987,549.64)
                                                                ------------------       -----------------
                  iii  TOTAL NON-CASH PRINCIPAL ACTIVITY        $    (8,655,287.00)      $   (5,697,519.47)
                                                                
          -------------------------------------------------------------------------------------------------
            (-)   TOTAL STUDENT LOAN PRINCIPAL ACTIVITY         $    33,747,489.63       $   37,632,788.33
          -------------------------------------------------------------------------------------------------
                                                                
                  STUDENT LOAN INTEREST ACTIVITY                
                  i    Regular Interest Collections             $    13,497,348.26       $   15,754,166.36
                  ii   Interest Claims Received from Guarantors $       184,632.17       $       11,357.11
                  iii  Interest Reimbursements                  $       225,135.74       $      178,669.39
                  iv   Other System Adjustments                 $          (822.59)      $          437.04
                  v    Special Allowance Payments               $       799,805.67       $      496,885.43
                  vi   Subsidy Payments                         $     9,124,830.54       $   10,221,660.77
                                                                ------------------       -----------------
                  vii  Total Interest Collections               $    23,830,929.79       $   26,663,176.10
                                                                     
                  Student Loan Non-Cash Interest Activity            
                  i    Interest Accrual Adjustment              $      (906,394.19)      $   (1,268,293.82)
                  ii   Capitalized Interest                     $     9,591,802.02       $    6,987,549.64
                                                                ------------------       -----------------
                  iii  Total Non-Cash Interest Adjustments      $     8,685,407.83       $    5,719,255.82
                                                                ------------------       -----------------
                  Total Student Loan Interest Activity          $    32,516,337.62       $   32,382,431.92

            (=)   ENDING STUDENT LOAN PORTFOLIO BALANCE         $ 1,413,647,896.61       $1,447,395,386.24
          -------------------------------------------------------------------------------------------------
            (+)   INTEREST TO BE CAPITALIZED                    $    15,933,644.48       $   18,816,445.60
          -------------------------------------------------------------------------------------------------
          -------------------------------------------------------------------------------------------------
            (=)   TOTAL POOL                                    $ 1,429,581,541.09       $1,466,211,831.84
          -------------------------------------------------------------------------------------------------
          -------------------------------------------------------------------------------------------------
            (+)   RESERVE ACCOUNT BALANCE                       $     3,674,921.48       $    3,756,760.00
          -------------------------------------------------------------------------------------------------
          -------------------------------------------------------------------------------------------------
            (=)   TOTAL ADJUSTED POOL                           $ 1,433,256,462.57       $1,469,968,591.84
          -------------------------------------------------------------------------------------------------
</TABLE>


SLM STUDENT LOAN TRUST 1996-3                               Page 9
<PAGE>   43

X.     1996-3      PAYMENT HISTORY AND CPRS

<TABLE>
<CAPTION>

                  DISTRIBUTION        ACTUAL            SINCE ISSUED
                     DATE         POOL BALANCES             CPR *

                     <S>          <C>                       <C>
                     Jun-96       $1,502,704,078              -
                                    
                     Oct-96       $1,466,211,474             6.3%
                                    
                     Jan-97       $1,429,581,541             5.6%
</TABLE>



* "SINCE ISSUED CPR" IS BASED ON THE CURRENT PERIOD'S ENDING POOL BALANCE 
CALCULATED AGAINST THE ORIGINAL POOL BALANCE  AND ASSUMING CUTOFF DATE POOL 
DATA.



SLM STUDENT LOAN TRUST 1996-3          Page 10
 


<PAGE>   44


                         SLM STUDENT LOAN TRUST 1996-3
                             OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                              ELIGIBLE LENDER TRUSTEE
Bankers Trust Company                          Chase Manhattan Bank (USA)
Four Albany Street                             1 Chase Manhattan Plaza
New York, NY 10006                             Wilmington, Delaware 19801-1398
Attn: Corporate Trust & Agency Group           Attn: Manager, Trust Division
(212) 250-6547                                 (302) 575-5022
                                               
                                               
ADMINISTRATOR                                  SERVICER
Sallie Mae                                     Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                         11600 Sallie Mae Drive
Reston, Virginia 20190-4798                    Reston, Virginia 20193
Attn: Director, Corporate Finance              ATTN: Director ABS Administration
      Operations
(703) 810-7711

===============================================================================

Pursuant to Section 3.1 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performances of the Servicer and Administrator from October 1, 1996 through
December 31, 1996 has been made, and (ii) to the best of our knowledge, the
Servicer and Administrator have fulfilled their obligations under the Agreement
throughout such period.

January 21, 1997

SALLIE MAE, AS ADMINISTRATOR

/s/  Robert R. Levine             
- ------------------------------
Robert R. Levine, Vice President
 and Treasurer

/s/  Mark G. Overend              
- ------------------------------
Mark G. Overend, Vice President
 and Controller
<PAGE>   45
SLM STUDENT LOAN TRUST 1996-4
QUARTERLY SERVICING REPORT
REPORT DATE:               12/31/96      REPORTING PERIOD:  9/02/96-12/31/96

I.       DEAL PARAMETERS

<TABLE>
<CAPTION>
         ---------------------------------------------------------------------------------------------------------
    A    STUDENT LOAN PORTFOLIO CHARACTERISTICS            9/2/96              ACTIVITY              12/31/96
         ---------------------------------------------------------------------------------------------------------
    <S>  <C>   <C>                                  <C>                    <C>                 <C>
         i     Portfolio Balance                    $ 1,478,535,335.85     $ (48,864,118.90)   $ 1,429,671,216.95
         ii    Interest to be Capitalized           $    22,647,947.59                         $    15,760,176.45
         iii   Total Pool                           $ 1,501,183,283.44                         $ 1,445,431,393.40
         iv    Reserve Account Balance              $             -                            $     3,752,958.00
                                                   --------------------                       --------------------
         v     TOTAL ADJUSTED POOL                  $ 1,501,183,283.44                         $ 1,449,184,351.40
                                                   ====================                       ====================

    B    i     Weighted Average Coupon (WAC)                    8.1337%                                    8.1888%
         ii    Weighted Average Remaining Term                  106.70                                     105.40
         iii   Number of Loans                                 608,428                                    597,763
         iv    Number of Borrowers                             232,999                                    229,701
         ---------------------------------------------------------------------------------------------------------
</TABLE>




<TABLE>
<CAPTION>
         -------------------------------------------------------------------------------------------------------------------------
    C    NOTES AND CERTIFICATES                        SPREAD     BALANCE 10/3/96     % OF POOL      BALANCE 1/27/97     % OF POOL
         -------------------------------------------------------------------------------------------------------------------------
         <S>   <C>                                      <C>     <C>                    <C>        <C>                    <C>
         i     A-1 Notes              78442GAG1         0.48%   $   957,300,000.00      63.608%   $   901,484,351.40      62.206%
         ii    A-2 Notes              78442GAH9         0.64%   $   495,000,000.00      32.890%   $   495,000,000.00      34.157%
         iii   Certificates           78442GAJ5         0.93%   $    52,700,000.00       3.502%   $    52,700,000.00       3.637%
         -------------------------------------------------------------------------------------------------------------------------
         iv    TOTAL NOTES AND CERTIFICATES                     $ 1,505,000,000.00     100.000%   $ 1,449,184,351.40     100.000%
         =========================================================================================================================
</TABLE>

<TABLE>
<CAPTION>
         -----------------------------------------------------------------------------------------------------------
    D    RESERVE ACCOUNT                                              10/3/96                          1/27/97
         -----------------------------------------------------------------------------------------------------------
         <S>   <C>                                             <C>                                <C>
         i     Required Reserve Acct Deposit (%)                      0.25%                             0.25%
         ii    Reserve Acct Initial Deposit ($)                $      3,752,958.00
         iii   Specified Reserve Acct Balance ($)              $      3,752,958.00                $     3,613,578.48
         iv    Reserve Account Floor Balance ($)               $      1,501,183.00                $     1,501,183.00
         v     Current Reserve Acct Balance ($)                $      3,752,958.00                $     3,613,578.48
         -----------------------------------------------------------------------------------------------------------
</TABLE>


SLM STUDENT LOAN TRUST 1996-4             Page 1
<PAGE>   46
II. 1996-4 TRANSACTIONS FROM:         09/3/96     THROUGH:      12/31/96

<TABLE>
     <S>   <C>                                                   <C>
     A     STUDENT LOAN PRINCIPAL ACTIVITY
           i        Regular Principal Collections                $  47,792,030.07
           ii       Principal Collections from Guarantor         $     651,773.25
           iii      Principal Reimbursements                     $  14,902,506.96
           iv       Other System Adjustments                     $        (713.51)
                                                                 ----------------
           v        TOTAL PRINCIPAL COLLECTIONS                  $  63,345,596.77

     B     STUDENT LOAN NON-CASH PRINCIPAL ACTIVITY
           i        Other Adjustments                            $   1,431,259.68
           ii       Capitalized Interest                         $ (15,912,737.55)
                                                                 ----------------
           iii      TOTAL NON-CASH PRINCIPAL ACTIVITY            $ (14,481,477.87)

           -----------------------------------------------------------------------
     C     TOTAL STUDENT LOAN PRINCIPAL ACTIVITY                 $  48,864,118.90
           -----------------------------------------------------------------------

     D     STUDENT LOAN INTEREST ACTIVITY
           i        Regular Interest Collections                 $  15,484,377.46
           ii       Interest Claims Received from Guarantors     $      13,446.63
           iii      Interest Reimbursements                      $     282,181.00
           iv       Other System Adjustments                     $        (287.62)
           v        Special Allowance Payments                   $     257,877.96
           vi       Subsidy Payments                             $   3,637,851.32
                                                                 ----------------
           vii      TOTAL INTEREST COLLECTIONS                   $  19,675,446.75

     E     STUDENT LOAN NON-CASH INTEREST ACTIVITY
           i        Interest Accrual Adjustment                  $  (1,407,772.50)
           ii       Capitalized Interest                         $  15,912,737.55
                                                                 ----------------
           iii      TOTAL NON-CASH INTEREST ADJUSTMENTS          $  14,504,965.05

           -----------------------------------------------------------------------
     F     TOTAL STUDENT LOAN INTEREST ACTIVITY                  $  34,180,411.80
           -----------------------------------------------------------------------
</TABLE>

SLM STUDENT LOAN TRUST 1996-4             Page 2
<PAGE>   47
III. 1996-4 COLLECTION ACCOUNT ACTIVITY    9/3/96     THROUGH     12/31/96


<TABLE>
     <S>   <C>                                                                                                  <C>
     A     PRINCIPAL COLLECTIONS
           i        Principal Payments Received-Cash                                                            $ 48,443,803.32
           ii       Cash Forwarded by Administrator on behalf of Seller                                         $  2,829,472.85
           iii      Cash Forwarded by Administrator on behalf of Servicer                                       $        952.02
           iv       Cash Forwarded by Administrator for Consolidation Activity                                  $ 12,071,368.58
                                                                                                                ---------------
           v        TOTAL PRINCIPAL COLLECTIONS                                                                 $ 63,345,596.77

     B     INTEREST COLLECTIONS
           i        Interest Payments Received-Cash                                                             $ 19,393,553.37
           ii       Cash Forwarded by Administrator on behalf of Seller                                         $     70,128.26
           iii      Cash Forwarded by Administrator on behalf of Servicer                                       $         18.38
           iv       Cash Forwarded by Administrator for Consolidation Activity                                  $    211,746.74
                                                                                                                ---------------
           v        TOTAL INTEREST COLLECTIONS                                                                  $ 19,675,446.75

     C     OTHER REIMBURSEMENTS                                                                                 $     54,062.66

     D     ADMINISTRATOR ACCOUNT INVESTMENT INCOME                                                              $    405,017.15

     E     FUNDS BORROWED FROM NEXT COLLECTION PERIOD                                                           $  2,474,319.38

     F     TOTAL FUNDS RECEIVED                                                                                 $ 85,954,442.71
           (LESS: SERVICING FEES PREVIOUSLY REMITTED)                                                           $ (2,122,691.80)
           ---------------------------------------------------------------------------------------------------------------------
           TOTAL FUNDS TRANSFERRED TO COLLECTION ACCOUNT                                                        $ 83,831,750.91
           ---------------------------------------------------------------------------------------------------------------------

     G     SERVICING FEE CALCULATION-CURRENT MONTH
           i        Unit Charge Calculation                                                                     $  1,089,333.52
           ii       Percentage of Principal Calculation                                                         $  1,516,168.68
           iii      Lesser of Unit or Principal Calculation                                                     $  1,089,333.52

     H     SERVICING FEES DUE FOR CURRENT PERIOD                                                                $  1,089,333.52

     I     CARRYOVER SERVICING FEES DUE                                                                         $  1,271,829.42
                    OCT 1996                Servicing Carryover            $   412,798.06
                    NOV 1996                Servicing Carryover            $   433,166.60
                    DEC 1996                Servicing Carryover            $   426,835.16
                                                                          ----------------
                                                                           $ 1,272,799.82
              LESS: Servicing ADJ [A iii + B iii]                          $      (970.40)
                                                                          ----------------
             TOTAL: CARRYOVER SERVICING FEE DUE                            $ 1,271,829.42
                                                                          ================

     J     ADMINISTRATION FEES DUE                                                                              $     20,000.00

           ---------------------------------------------------------------------------------------------------------------------
     K     TOTAL FEES DUE FOR PERIOD                                                                            $  2,381,162.94
           ---------------------------------------------------------------------------------------------------------------------
</TABLE>


SLM STUDENT LOAN TRUST 1996-4             Page 3
<PAGE>   48
 IV.  1996-4               PORTFOLIO CHARACTERISTICS

<TABLE>
<CAPTION>
                            -----------------------------------------------------------------------------------------------------
                                  WEIGHTED AVG COUPON                    # OF  LOANS                             %              
- ---------------------------------------------------------------------------------------------------------------------------------
 STATUS                        09/3/96          12/31/96         09/3/96           12/31/96         09/3/96            12/31/96 
- ---------------------------------------------------------------------------------------------------------------------------------
 <S>                             <C>              <C>             <C>               <C>             <C>                <C>      
 INTERIM:                                                                                                                       

   IN SCHOOL                                                                                                                    
     Current                     7.9623%          7.9668%          91,690            91,535         15.0700%           15.3129% 
                                                                                                                                
   GRACE                                                                                                                        
     Current                     8.0074%          7.9826%         128,787            23,633         21.1672%            3.9536% 
                                                                                                                                
- ---------------------------------------------------------------------------------------------------------------------------------
 TOTAL INTERIM                   7.9893%          7.9701%         220,477           115,168         36.2372%           19.2665% 
- ---------------------------------------------------------------------------------------------------------------------------------
 REPAYMENT                                                                                                                      

   ACTIVE                                                                                                                       
     Current                     8.2522%          8.2591%         290,239           366,364         47.7031%           61.2892% 
     31-60 Days Delinquent       8.2848%          8.2924%          29,190            24,152          4.7976%            4.0404% 
     61-90 Days Delinquent       8.2919%          8.2822%          10,288            11,849          1.6909%            1.9822% 
     91-120 Days Delinquent                       8.2847%                             6,951                             1.1628% 
     Greater than 120 Days 
       Delinquent                                 8.2849%                            10,556                             1.7659% 
                                                                                                                                
  DEFERMENT                                                                                                                     
     Current                     8.3033%          8.2449%          36,405            42,342          5.9835%            7.0834% 
                                                                                                                                
  FORBEARANCE                                                                                                                   
     Current                     8.2681%          8.2622%          21,829            20,036          3.5878%            3.3518% 
                                                                                                                                
- ---------------------------------------------------------------------------------------------------------------------------------
 TOTAL REPAYMENT                  8.264%           8.261%         387,951           482,250         63.7628%           80.6758% 
- ---------------------------------------------------------------------------------------------------------------------------------
  CLAIMS IN PROCESS (1)          0.0000%          8.3508%             -                 345          0.0000%            0.0577% 
  AGED CLAIMS REJECTED (2)       0.0000%          0.0000%             -                 -                 0%                 0% 
- ---------------------------------------------------------------------------------------------------------------------------------
               GRAND TOTAL        8.134%           8.189%         608,428           597,763          100.00%            100.00% 
- ---------------------------------------------------------------------------------------------------------------------------------
</TABLE>  

<TABLE>
<CAPTION>
                                -------------------------------------------------------------------
                                            PRINCIPAL AMOUNT                           %
- ---------------------------------------------------------------------------------------------------
 STATUS                                 09/3/96            12/31/96         09/3/96      12/31/96
- ---------------------------------------------------------------------------------------------------
 <S>                             <C>                 <C>                     <C>          <C>
 INTERIM:                                                                               

   IN SCHOOL                                                                            
     Current                     $   278,155,973.24  $   275,826,217.97      18.8129%     19.2930%
                                                                                        
   GRACE                                                                                
     Current                     $   413,686,171.77  $    71,812,195.33      27.9795%      5.0230%
                                                                                        
- ---------------------------------------------------------------------------------------------------
 TOTAL INTERIM                   $   691,842,145.01  $   347,638,413.30      46.7924%     24.3160%
- ---------------------------------------------------------------------------------------------------
 REPAYMENT                                                                              

   ACTIVE                                                                               
     Current                     $   529,398,436.12  $   775,104,870.15      35.8056%     54.2156%
     31-60 Days Delinquent       $    65,179,175.27  $    52,249,497.01       4.4084%      3.6547%
     61-90 Days Delinquent       $    21,579,483.42  $    25,787,949.57       1.4595%      1.8038%
     91-120 Days Delinquent                          $    15,835,178.81       0.0000%      1.1076%
     Greater than 120 Days
       Delinquent                                    $    25,259,487.52       0.0000%      1.7668%
                                                                                        
  DEFERMENT                                                                             
     Current                     $   108,967,023.01  $   127,813,021.81       7.3699%      8.9400%
                                                                                        
  FORBEARANCE                                                                           
     Current                     $    61,569,073.02  $    59,145,189.37       4.1642%      4.1370%
                                                                                        
- ---------------------------------------------------------------------------------------------------
 TOTAL REPAYMENT                 $   786,693,190.84  $ 1,081,195,194.24      53.2076%     75.6254%
- ---------------------------------------------------------------------------------------------------
  CLAIMS IN PROCESS (1)                        -     $       837,609.40       0.0000%      0.0586%
  AGED CLAIMS REJECTED (2)                     -                    -              0%           0%
- ---------------------------------------------------------------------------------------------------
               GRAND TOTAL       $ 1,478,535,335.85  $ 1,429,671,216.94       100.00%      100.00%
- ---------------------------------------------------------------------------------------------------
</TABLE>

 (1) CLAIMS FILED AND UNPAID; INCLUDES CLAIMS REJECTED AGED LESS THAN 6 MONTHS.
 (2) CLAIMS REJECTED (SUBJECT TO CURE) AGED 6 MONTHS OR MORE; ALSO INCLUDES
     CLAIMS DEEMED INCURABLE PENDING REPURCHASE.

SLM STUDENT LOAN TRUST 1996-4             Page 4
<PAGE>   49
V.                  INTEREST CALCULATION

<TABLE>
              <S>   <C>                                                                              <C>
              A     Borrower Interest Accrued During Collection Period                               $    26,135,905.91
              B     Interest Subsidy Payments Accrued During Collection Period                       $    13,052,761.59
              C     SAP Payments Accrued During Collection Period                                    $       686,626.02
              D     INV Earnings Accrued for Collection Period (RESERVE & COLLECTION ACTS)           $        49,872.39
              E     Investment Earnings (ADMINISTRATOR ACT)                                          $       405,017.15
                                                                                                     ------------------
              F     NET EXPECTED INTEREST COLLECTIONS                                                $    40,330,183.06

              G     STUDENT LOAN RATE
                    i        Days in Collection Period  (9/03/96-12/31/96)                                          120
                    ii       Days in Year                                                                           366
                    iii      Net Expected Interest Collections                                       $    40,330,183.06
                    iv       Primary Servicing Fee                                                   $     3,212,025.32
                    v        Administration Fee                                                      $        20,000.00
                    vi       Total Pool Balance at Beginning of Collection Period                    $ 1,501,183,283.44
                    vii      STUDENT LOAN RATE                                                                  7.53735%
</TABLE>
<TABLE>
<CAPTION>
                                                                 ACCRUED
                                                                INT FACTOR     ACCRUAL PERIOD
                                                                ----------     --------------
              <S>   <C>                                         <C>           <C>                               <C>
              H     Class A-1 T-Bill Based Interest Rate                                                        5.60190%
              I     CLASS A-1 INTEREST RATE                     0.017803288   (10/3/96-1/27/97)                 5.60190%
              J     Class A-2 T-Bill Based Interest Rate                                                        5.76190%
              K     CLASS A-2 INTEREST RATE                     0.018311781   (10/3/96-1/27/97)                 5.76190%
              L     Certificate T-Bill Based Rate of Return                                                     6.05190%
              M     CERTIFICATE RATE OF RETURN                  0.019233425   (10/3/96-1/27/97)                 6.05190%
</TABLE>



SLM STUDENT LOAN TRUST 1996-4             Page 5
<PAGE>   50
VI.        INPUTS FROM PREVIOUS QUARTERLY SERVICING REPORTS       09/2/96

<TABLE>
              <S>   <C>                                                       <C>
              A     Total Student Loan Pool Outstanding
                    i     Portfolio Balance                                   $ 1,478,535,335.85
                    ii    Interest To Be Capitalized                          $    22,647,947.59
                                                                             --------------------
                    iii   Total Pool                                          $ 1,501,183,283.44
                    iv    Reserve Account Balance                             $              -
                                                                             --------------------
                    v     TOTAL ADJUSTED POOL                                 $ 1,501,183,283.44
                                                                             ====================

              B     Total Note and Certificate Factor                              1.00000000000
              C     TOTAL NOTE AND CERTIFICATE BALANCE                        $ 1,505,000,000.00
</TABLE>


<TABLE>
<CAPTION>
                    -----------------------------------------------------------------------------------------------------
              D     NOTE BALANCE   10/3/96                     CLASS A-1               CLASS A-2            CERTIFICATES
                    -----------------------------------------------------------------------------------------------------
              <S>   <C>                                  <C>                       <C>                    <C>
                    i     Current Factor-10/3/96               1.0000000000            1.0000000000          1.0000000000
                    ii    Note Principal Shortfall       $             0.00        $           0.00       $          0.00
                    iii   Expected Note Balance          $   957,300,000.00        $ 495,000,000.00       $ 52,700,000.00
                                                         ------------------        ----------------       ---------------
                    iv    NOTE BALANCE                   $   957,300,000.00        $ 495,000,000.00       $ 52,700,000.00
              E     Interest Shortfall                   $             0.00        $           0.00       $          0.00
              F     Interest Carryover                   $             0.00        $           0.00       $          0.00
                    -----------------------------------------------------------------------------------------------------
</TABLE>


<TABLE>
              <S>   <C>                                                       <C>
              G     Reserve Account Balance                                   $     3,752,958.00
              H     Unpaid Primary Servicing Fees from Prior Month(s)         $             0.00
              I     Unpaid Administration fees from Prior Quarter(s)          $             0.00
              J     Unpaid Carryover Servicing Fees from Prior Quarter(s)     $             0.00
              K     Interest Due on Upaid Carryover Servicing Fees            $              -
</TABLE>

SLM STUDENT LOAN TRUST 1996-4             Page 6
<PAGE>   51

VII.       WATERFALL FOR DISTRIBUTIONS

<TABLE>
<CAPTION>
                                                                                                          REMAINING
                                                                                                        FUNDS BALANCE
                                                                                                        -------------
              <S>   <C>                                                        <C>                    <C>
              A     Total Available Funds ( Sections III -F + V-D+VIII-G)      $ 84,046,002.82        $ 84,046,002.82

              B     Primary Servicing Fees-Current Month                       $  1,089,333.52        $ 82,956,669.30
              C     Administration Fee                                         $     20,000.00        $ 82,936,669.30

              D     Noteholder's Interest Distribution Amount
                    i        Class A-1                                         $ 17,043,087.60        $ 65,893,581.70
                    ii       Class A-2                                         $  9,064,331.60        $ 56,829,250.10
                                                                               ---------------
                    iii      TOTAL NOTEHOLDER'S INTEREST DISTRIBUTION          $ 26,107,419.20

              E     CERTIFICATEHOLDER'S RETURN DISTRIBUTION AMOUNT             $  1,013,601.50        $ 55,815,648.60

              F     Noteholder's Principal Distribution Amount
                    i        Class A-1                                         $ 55,815,648.60        $         (0.00)
                    ii       Class A-2                                         $          0.00        $         (0.00)
                                                                               ---------------
                    iii      TOTAL NOTEHOLDER'S PRINCIPAL DISTRIBUTION         $ 55,815,648.60

              G     CERTIFICATEHOLDER'S BALANCE DISTRIBUTION AMOUNT            $          0.00        $         (0.00)

              H     Increase to the Specified Reserve Account Balance          $          0.00        $          0.00

              I     Carryover Servicing Fees  (2)                              $          0.00        $          0.00

              J     Noteholder's Interest Carryover
                    i        Class A-1                                         $          0.00        $          0.00
                    i        Class A-2                                         $          0.00        $          0.00
                                                                               ---------------
                    iii      TOTAL NOTEHOLDER'S INTEREST CARRYOVER             $          0.00

              K     CERTIFICATEHOLDER'S RETURN CARRYOVER                       $          0.00        $          0.00

              L     EXCESS TO RESERVE ACCOUNT                                  $          0.00        $          0.00
</TABLE>
        (1)  Includes initial deposit of $25,000 from Seller
        (2)  Insufficient Funds available to pay carryover Servicing Fees.


SLM STUDENT LOAN TRUST 1996-4             Page 7
<PAGE>   52



VIII.     DISTRIBUTIONS

<TABLE>
<CAPTION>
          --------------------------------------------------------------------------------------------------------------
    A     DISTRIBUTION AMOUNTS                                            CLASS A-1       CLASS A-2       CERTIFICATES
          --------------------------------------------------------------------------------------------------------------

          <S>                                                         <C>               <C>              <C>
          i     Quarterly Interest Due                                $ 17,043,087.60   $ 9,064,331.60   $ 1,013,601.50
          ii    Quarterly Interest Paid                               $ 17,043,087.60   $ 9,064,331.60   $ 1,013,601.50
                                                                      ---------------   --------------   --------------
          iii   INTEREST SHORTFALL                                    $          0.00   $         0.00   $         0.00
                                               
          iv    Interest Carryover Due                                $          0.00   $         0.00   $         0.00
          v     Interest Carryover Paid                               $          0.00   $         0.00   $         0.00
                                                                      ---------------   --------------   --------------
          vi    INTEREST CARRYOVER                                    $          0.00   $         0.00   $         0.00
                                               
          vii   Quarterly Principal Due (B)                           $ 55,815,648.60   $         0.00   $         0.00
          viii  Quarterly Principal Paid                              $ 55,815,648.60   $         0.00   $         0.00
                                                                      ---------------   --------------   --------------
          ix    QUARTERLY PRINCIPAL SHORTFALL                         $          0.00   $         0.00   $         0.00
                                               
          --------------------------------------------------------------------------------------------------------------
          x     TOTAL DISTRIBUTION AMOUNT                             $ 72,858,736.20   $ 9,064,331.60   $ 1,013,601.50
          --------------------------------------------------------------------------------------------------------------
</TABLE>

<TABLE>
    <S>   <C>                                                                       <C>
    B     PRINCIPAL DISTRIBUTION RECONCILIATION
          i   Notes and Certificates Principal Balance   12/31/96                   $ 1,505,000,000.00
          ii  Adjusted Pool Balance  12/31/96                                       $ 1,449,184,351.40
                                                                                    -------------------
          iii Pool Exceeding Notes and Certificate Balance (i-ii)                   $    55,815,648.60
                                                                                    -------------------
          iv  PRINCIPAL DISTRIBUTION AMOUNT                                         $    55,815,648.60
                                                                                    ===================

    C     Total Principal Distribution                                              $    55,815,648.60
    D     Total Interest Distribution                                               $    27,121,020.70
                                                                                    -------------------
    E     TOTAL CASH DISTRIBUTIONS-NOTE AND CERTIFICATES                            $    82,936,669.30

          ---------------------------------------------------------------------------------------------
    F     NOTE & CERTIFICATE BALANCES                              10/3/96                01/27/97
          ---------------------------------------------------------------------------------------------
          i   A-1 Note Balance       (78442GAG1)               $ 957,300,000.00     $   901,484,351.40
              A-1 Note Pool Factor                                 1.0000000000           0.9416947158

          ii  A-2 Note Balance       (78442GAH9)               $ 495,000,000.00     $   495,000,000.00
              A-2 Note Pool Factor                                 1.0000000000           1.0000000000

          iii Certificate Balance    (78442GAJ5)               $  52,700,000.00     $    52,700,000.00
              Certificate Pool Factor                              1.0000000000           1.0000000000
          ---------------------------------------------------------------------------------------------
</TABLE>

<TABLE>
    <S>   <C>                                                                       <C>
    G     RESERVE ACCOUNT RECONCILIATION                                            
          i    Beginning of Period Balance                                          $     3,752,958.00
          ii   Deposits to correct Shortfall                                        $             0.00
          iii  Deposits from Excess Servicing                                       $             0.00
                                                                                    ------------------
          iv   Total Reserve Account Balance Available                              $     3,752,958.00
          v    Required Reserve Account Balance                                     $     3,613,578.48
                                                                                    
          vi   Shortfall Carried to Next Period                                     $             0.00
          vii  EXCESS RESERVE -RELEASE TO WATERFALL                                 $       139,379.52
          viii Ending Reserve Account Balance                                       $     3,613,578.48
</TABLE>


SLM STUDENT LOAN TRUST 1996-4             Page 8
<PAGE>   53
IX.  1996-4   HISTORICAL POOL INFORMATION



<TABLE>
<CAPTION>
       ----------------------------------------------------------------------------------------------------------------------------
       BEGINNING STUDENT LOAN PORTFOLIO BALANCE                                                             
       ----------------------------------------------------------------------------------------------------------------------------
       <S>                                                         <C>                    <C>                     <C>        
                STUDENT LOAN PRINCIPAL ACTIVITY                                                             
                i    Regular Principal Collections                                                          
                ii   Principal Collections from Guarantor                                                   
                iii  Principal Reimbursements                                                               
                iv   Other System Adjustments                                                               
                                                                  -----------------------------------------------------------------
                v    Total Principal Collections                   $          -                                   $          -
                Student Loan Non-Cash Principal Activity                                                    
                i    Other Adjustments                                                                      
                ii   Capitalized Interest                                                                   
                                                                  -----------------------------------------------------------------
                iii  Total Non-Cash Principal Activity             $          -           $          -            $          -
                                                                                                            
       ----------------------------------------------------------------------------------------------------------------------------
          (-)   TOTAL STUDENT LOAN PRINCIPAL ACTIVITY              $          -           $          -            $          -
       ----------------------------------------------------------------------------------------------------------------------------
                                                                                                            
                STUDENT LOAN INTEREST ACTIVITY                                                              
                i    Regular Interest Collections                                                           
                ii   Interest Claims Received from Guarantors                                               
                iii  Interest Reimbursements                                                                
                iv   Other System Adjustments                                                               
                v    Special Allowance Payments                                                             
                vi   Subsidy Payments                                                                       
                                                                  -----------------------------------------------------------------
                vii  Total Interest Collections                    $          -           $          -            $          -
                                                                                                            
                Student Loan Non-Cash Interest Activity                                                     
                i    Interest Accrual Adjustment                                                            
                ii   Capitalized Interest                                                                   
                                                                  -----------------------------------------------------------------
                iii  Total Non-Cash Interest Adjustments           $          -           $          -            $          -
                                                                  -----------------------------------------------------------------
                TOTAL STUDENT LOAN INTEREST ACTIVITY               $          -           $          -            $          -
                                                                                                            
          (=)   ENDING STUDENT LOAN PORTFOLIO BALANCE              $          -           $          -            $          -
       ----------------------------------------------------------------------------------------------------------------------------
          (+)   INTEREST TO BE CAPITALIZED                         $          -                             
       ----------------------------------------------------------------------------------------------------------------------------
                                                                                                            
       ----------------------------------------------------------------------------------------------------------------------------
          (=)   TOTAL POOL                                         $          -           $          -            $           -
       ----------------------------------------------------------------------------------------------------------------------------
</TABLE>


SLM STUDENT LOAN TRUST 1996-4             Page 9
<PAGE>   54
X.                             PAYMENT HISTORY AND CPRS
<TABLE>
<CAPTION>
                               DISTRIBUTION       ACTUAL         SINCE ISSUED
                                   DATE        POOL BALANCES         CPR *
                                 <S>         <C>                       <C>
                                 Oct-96      $  1,501,183,283           -

                                 Jan-97      $  1,445,431,393          5.7%
</TABLE>


* "SINCE ISSUED CPR" IS BASED ON THE CURRENT PERIOD'S ENDING POOL
BALANCE CALCULATED AGAINST THE ORIGINAL POOL BALANCE AND ASSUMING CUTOFF DATE
POOL DATA.




SLM STUDENT LOAN TRUST 1996-4             Page 10
<PAGE>   55
                        SLM STUDENT LOAN TRUST 1996-4
                            OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                             ELIGIBLE LENDER TRUSTEE
Bankers Trust Company                         Chase Manhattan Bank (USA)   
Four Albany Street                            1 Chase Manhattan Plaza
New York, NY 10006                            Wilmington, Delaware 19801-1398 
Attn: Corporate Trust & Agency Group          Attn: Manager, Trust Division 
(212) 250-6547                                (302) 575-5022
                                              
                                              
ADMINISTRATOR                                 SERVICER
Sallie Mae                                    Sallie Mae Servicing Corporation 
11600 Sallie Mae Drive                        11600 Sallie Mae Drive
Reston, Virginia 20190-4798                   Reston, Virginia 20193
Attn: Director, Corporate Finance             ATTN: Director ABS Administration
  Operations                                  
(703) 810-7711                                                                 
                                 

================================================================================


Pursuant to Section 3.1 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performances of the Servicer and Administrator from the Trust inception through
December 31, 1996 has been made, and (ii) to the best of our knowledge, the
Servicer and Administrator have fulfilled their obligations under the Agreement
throughout such period.

January 21, 1997

SALLIE MAE, AS ADMINISTRATOR

/s/  Robert R. Levine           
- ----------------------------------
Robert R. Levine, Vice President 
  and Treasurer

/s/  Mark G. Overend            
- ----------------------------------
Mark G. Overend, Vice President
  and Controller



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