RESIDENTIAL FUNDING MORTGAGE SECURITIES I INC
424B5, 1996-08-22
ASSET-BACKED SECURITIES
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                 RESIDENTIAL FUNDING MORTGAGE SECURITIES I, INC.
                                     Company

                         RESIDENTIAL FUNDING CORPORATION
                                 Master Servicer

                       Mortgage Pass-Through Certificates
                                 Series 1996-S13

             $2,498,673.32 (1) 0.00% Rate (2) Class A-6 Certificates



                        Supplement dated August 21, 1996
                                       to
                    Prospectus Supplement dated May 21, 1996
                                       and
                    Prospectus Supplement dated May 28, 1996
                                       and
                    Prospectus Supplement dated May 31, 1996
                             as Supplemented by the
                        Prospectus dated January 23, 1996
                             as Supplemented by the
                         Prospectus dated June 21, 1996



(1)      The Certificate  Principal  Balance of the Principal Only  Certificates
         after giving effect to the distribution on August 25, 1996.

(2)      The Class A-6 Certificates are Principal Only Certificates and are not
         entitled to receive distributions of interest.



THIS SUPPLEMENT MUST BE DELIVERED TOGETHER WITH THE PROSPECTUS
AND PROSPECTUS SUPPLEMENT REFERRED TO ABOVE, AND SHOULD BE READ
IN CONJUNCTION THEREWITH.

                          DONALDSON, LUFKIN & JENRETTE






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                  The Class A-6 Certificates (the "Principal Only Certificates")
will be  purchased  from  the  Company  by  Donaldson,  Lufkin &  Jenrette  (the
"Underwriter"),  pursuant to an agreement (the  "Underwriting  Agreement") among
the  Company,  the Master  Servicer  and the  Underwriter.  The  proceeds to the
Company  from  the  sale of the  Principal  Only  Certificates  will be equal to
$1,745,947.98  net of any  expenses  payable  by the  Company.  The  Underwriter
intends to offer the Principal Only Certificates from time to time to the public
in negotiated  transactions  or otherwise at varying  prices to be determined at
the time of sale. The  Underwriter  may effect such  transactions by selling the
Principal  Only  Certificates  to or through  dealers.  In  connection  with the
purchase and sale of the Principal Only  Certificates,  the  Underwriter and any
dealers  that  may  participate  with  the  Underwriter  in such  resale  of the
Principal Only Certificates may be deemed to have received compensation from the
Company in the form of discounts or commissions or, in the case of such dealers,
compensation  from the  Underwriter  in the form of  discounts,  concessions  or
commissions. The Underwriting Agreement provides that the Company will indemnify
the Underwriter  against certain civil  liabilities  under the Securities Act of
1933, or contribute to payments required to be made in respect thereof. There is
currently no secondary market for the Principal Only Certificates.  There can be
no  assurance  that an  active  secondary  market  will  develop,  or if it does
develop, that it will continue.

                  The  Mortgage  Pool  consists  of 625  Mortgage  Loans with an
outstanding  aggregate  principal  balance as of August 1, 1996 (the  "Reference
Date"),   after   deducting   payments  of  principal   due  on  such  date,  of
$154,237,503.51.

                  As of the Reference Date, the weighted  average  Mortgage Rate
of the  Discount  Mortgage  Loans  was  approximately  7.0031471546%.  As of the
Reference Date, the weighted average Servicing Fee Rate of the Discount Mortgage
Loans was  approximately  0.3214591583%.  As of the Reference Date, the weighted
average   remaining  term  to  maturity  of  the  Discount  Mortgage  Loans  was
approximately 163 months.

                  As of the Reference Date, the aggregate  principal  balance of
the Discount  Mortgage Loans was  $54,948,332.41.  As of the Reference Date, the
aggregate  principal  balance of the Discount Mortgage Loans was equal to 98.78%
of the  aggregate  principal  balance of the Discount  Mortgage  Loans as of the
Cut-off Date.

                  As of the  Reference  Date,  1.4% of the  Mortgage  Loans  (by
aggregate  principal balance) were delinquent by one month. None of the Mortgage
Loans were  delinquent by two or more months or in Foreclosure or will have been
Real Estate Owned.

Because the amounts payable to the Principal Only Certificates  generally derive
only from principal  payments on the Discount Mortgage Loans, the Principal Only
Certificates  are  particularly  sensitive  to the rate and timing of  principal
prepayments on the Discount  Mortgage  Loans.  See "Certain Yield and Prepayment
Considerations" in the Prospectus Supplement.

                  The following  table  indicates the sensitivity of the pre-tax
yield to maturity on the Principal Only  Certificates to various  constant rates
of prepayment by projecting the monthly


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aggregate payments of principal on the Principal Only Certificates and computing
the  corresponding  pre-tax  yields to maturity on a corporate  bond  equivalent
basis,  based on the assumptions  described in (ii), (iii), (iv), (v), (vii) and
(viii) in the third paragraph  preceding the table entitled  "Percent of Initial
Certificate  Principal Balance Outstanding at the Following  Percentages of SPA"
under the heading "Certain Yield and Prepayment  Considerations--General" in the
Prospectus  Supplement  attached,  and  assuming  further  that the  assumptions
described in (i) of the  paragraph  referred to above were  calculated  based on
information as of the Reference  Date and that the Principal  Only  Certificates
will be  purchased  on  August  23,  1996 and  payments  on the  Principal  Only
Certificates will be received on the 25th day of each month commencing September
25, 1996.  The assumed  purchase  price of the Principal  Only  Certificates  is
$1,749,071.

                  Any  differences  between  such  assumptions  and  the  actual
characteristics  and performance of the Mortgage Loans and of the Principal Only
Certificates  may result in yields  being  different  from  those  shown in such
table.  Discrepancies between assumed and actual characteristics and performance
underscore the hypothetical  nature of the table, which is provided only to give
a general sense of the sensitivity of yields in varying prepayment scenarios.

                 Pre-Tax Yield to Maturity of the Principal Only
                          Certificates at the Following
                               Percentages of SPA

Assumed
Purchase
Price            0%       100%       200%       300%        400%        500%

$1,749,071     4.8%       6.4%       8.4%      10.7%       13.1%       15.7%


UNTIL NOVEMBER 19, 1996,  ALL DEALERS  EFFECTING  TRANSACTIONS  IN THE PRINCIPAL
ONLY  CERTIFICATES,  WHETHER OR NOT PARTICIPATING IN THIS  DISTRIBUTION,  MAY BE
REQUIRED TO DELIVER A PROSPECTUS  (INCLUDING THE PROSPECTUS  SUPPLEMENT AND THIS
SUPPLEMENT).  THE  DELIVERY  REQUIREMENT  IS IN  ADDITION TO THE  OBLIGATION  OF
DEALERS TO DELIVER A PROSPECTUS WHEN ACTING AS UNDERWRITERS  AND WITH RESPECT TO
THEIR UNSOLD ALLOTMENTS OR SUBSCRIPTIONS.


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