AYCO CO L P
13F-HR, 2000-05-11
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                   UNITED STATES
                         SECURITIES AND EXCHANGE COMMISION
                         Washington, D.C.  20549

                         FORM 13F

                         FORM 13F COVER PAGE

Report for the Calendar Year or Quarter Ended:  March 31, 2000
Check here if Amendment [   ];  Amendment Number:
This Amendment  (Check only one.):      [   ] is a restatement.
                                        [   ] adds new holdings entries.

Institutional Investment Manager filing this Report:

Name:                           The Ayco Company, L.P.
Address:                        P.O. Box 8009, 855 Route 146
                                Clifton Park, New York 12065

13F File Number:                28-6738

The institutional investment manager filing this report and the
person by whom it is signed hereby represent that the person
signing the report is authorized to submit it, that all
information contained herein is true, correct and complete, and
that it is understood that all required items, statements,
schedules, lists, and tables, are considered integral parts of
this form.

Person Signing this Report on Behalf of Reporting Manager:

Name:   Peter H. Heerwagen
Title:  Senior Vice President - Investment Services Group
Phone:  518/373-2500
Signature, Place, and Date of Signing:

  Peter H. Heerwagen    Clifton Park, New York    May 10, 2000


Report Type  (Check only one.):

[ X]    13F HOLDINGS REPORT.

[  ]    13F NOTICE.

[  ]    13F COMBINATION REPORT.


List of Other Managers Reporting for this Manager:

NONE


I AM SIGNING THIS REPORT AS REQUIRED BY THE SECURITIES EXCHANGE ACT OF 1934.
<PAGE>

                            FORM 13F SUMMARY PAGE

Report Summary:

Number of Other Included Managers:              0

Form 13F Information Table Entry Total:         192

Form 13F Information Table Value Total:         $1,309,705


List of Other Included Managers:

No.     13F File Number         Name
NONE

<TABLE>                              <C>               <C>       <C>     <C>      <C>  <C>  <C>       <C>        <C>  <C>     <C>
FORM 13F INFORMATION TABLE
                                                                 VALUE   SHARES /      PUT/           OTHER      VOTING AUTHORITY
NAME OF ISSUER                       TITLE OF CLASS    CUSIP     (X$1000)PRN AMT   PRN CALL DSCRETN   MANAGERS   SOLE SHARED   NONE
INTEL CORP                           COM               458140100  97172   736498   SH          SOLE                           736498
CISCO SYS INC                        COM               17275R102  62132   803644   SH          SOLE                           803644
GENERAL ELECTRIC CO                  COM               369604103  56684   364237   SH          SOLE                           364237
HOME DEPOT INC                       COM               437076102  46524   721306   SH          SOLE                           721306
CITIGROUP INC                        COM               173034109  42795   714738   SH          SOLE                           714738
EMC CORP-MASS                        COM               268648102  40981   325245   SH          SOLE                           325245
MICROSOFT CORP                       COM               594918104  40129   377683   SH          SOLE                           377683
*** VODAFONE AIRTOUCH PLC            SPONSORED ADR     92857T107  39760   715576   SH          SOLE                           715576
ENRON CORP                           COM               293561106  37059   494950   SH          SOLE                           494950
TIME WARNER HOLDINGS CO              COM               887315109  36235   362350   SH          SOLE                           362350
AT&T CORP LIBERTY MEDIA GROUP        COM LIB GRP A     001957208  32875   554263   SH          SOLE                           554263
AMER INTERNATIONAL GROUP INC         COM               026874107  32217   294220   SH          SOLE                           294220
FEDERAL NATIONAL MORTGAGE ASSN       COM               313586109  31669   559892   SH          SOLE                           559892
PFIZER INC                           COM               717081103  30074   822519   SH          SOLE                           822519
WALT DISNEY HOLDING CO               COM               254687106  29104   705557   SH          SOLE                           705557
TEXAS INSTRUMENTS INC                COM               882508104  28947   180920   SH          SOLE                           180920
CHASE MANHATTAN CORP NEW             COM               16161A108  28474   326585   SH          SOLE                           326585
MCI WORLDCOM INC                     COM               98155K102  26683   588849   SH          SOLE                           588849
PEPSICO INC                          COM               713448108  24882   713465   SH          SOLE                           713465
MERCK & CO INC                       COM               589331107  20455   329255   SH          SOLE                           329255
GILLETTE CO                          COM               375766102  20288   538313   SH          SOLE                           538313
FIRST DATA CORP                      COM               319963104  19616   442040   SH          SOLE                           442040
EXXON MOBIL CORP                     COM               30231G102  19124   245369   SH          SOLE                           245369
HOUSEHOLD INTERNATIONAL INC          COM               441815107  18436   494086   SH          SOLE                           494086
APPLIED MATERIALS INC DELAWARE       COM               038222105  17123   181681   SH          SOLE                           181681
BERKSHIRE HATHAWAY INC CLASS B       CL B              084670207  15850    8709    SH          SOLE                             8709
JOHNSON & JOHNSON                    COM               478160104  15495   220566   SH          SOLE                           220566
COCA-COLA CO                         COM               191216100  15307   326102   SH          SOLE                           326102
E I DU PONT DE NEMOURS & CO          COM               263534109  12914   243941   SH          SOLE                           243941
MARSH & MCLENNAN COS INC             COM               571748102  12824   116250   SH          SOLE                           116250
*** ROYAL DUTCH PETROLEUM CO         NY REG GLD1.25    780257804  12599   217928   SH          SOLE                           217928
WARNER LAMBERT CO                    COM               934488107  12472   127675   SH          SOLE                           127675
COMPAQ COMPUTER CORP                 COM               204493100  12337   456932   SH          SOLE                           456932
BANK OF AMERICA CORP                 COM               066050105  11685   222841   SH          SOLE                           222841
LUCENT TECHNOLOGIES INC              COM               549463107  10713   174899   SH          SOLE                           174899
FEDERATED DEPARTMENT STORES          COM               31410H101  10071   238378   SH          SOLE                           238378
FORD MOTOR CO                        COM               345370100  10003   217747   SH          SOLE                           217747
BURLINGTON NORTHERN SANTA FE         COM               12189T104  9144    401913   SH          SOLE                           401913
BERKSHIRE HATHAWAY INC-DEL-          CL A              084670108  8580     150     SH          SOLE                              150
COMCAST CORP CL A-SPL                CL A SPL          200300200  8575    197690   SH          SOLE                           197690
KIMBERLY CLARK CORP                  COM               494368103  8573    152918   SH          SOLE                           152918
PROCTER & GAMBLE CO                  COM               742718109  8557    151454   SH          SOLE                           151454
STAPLES INC                          COM               855030102  8140    407017   SH          SOLE                           407017
INTL BUSINESS MACHINES CORP          COM               459200101  7890    66863    SH          SOLE                            66863
GENERAL MOTORS CORP                  COM               370442105  7414    89527    SH          SOLE                            89527
BOEING CO                            COM               097023105  7273    192344   SH          SOLE                           192344
WELLS FARGO & CO NEW                 COM               949740104  7179    176169   SH          SOLE                           176169
WAL-MART STORES INC                  COM               931142103  6880    121763   SH          SOLE                           121763
HALLIBURTON CO HOLDINGS CO           COM               406216101  6874    167139   SH          SOLE                           167139
*** SCHLUMBERGER LTD                 COM               806857108  6846    89492    SH          SOLE                            89492
THERMO ELECTRON CORP                 COM               883556102  6730    330320   SH          SOLE                           330320
AT&T CORP                            COM               001957109  6505    115518   SH          SOLE                           115518
ABBOTT LABORATORIES                  COM               002824100  5590    158860   SH          SOLE                           158860
*** TYCO INTERNATIONAL LTD           COM               902124106  5458    108892   SH          SOLE                           108892
SPRINT CORP                          COM FON GROUP     852061100  4889    77290    SH          SOLE                            77290
UNITED HEALTHCARE CORP               COM               910581107  4818    80799    SH          SOLE                            80799
KANSAS CITY SOUTHERN INDS INC        COM               485170104  4297    50000    SH          SOLE                            50000
NEWELL RUBBERMAID INC                COM               651192106  3742    150811   SH          SOLE                           150811
COX COMMUNICATIONS INC-NEW           COM               224044107  3542    73022    SH          SOLE                            73022
SCHWAB CHARLES CORP                  COM               025816109  3530    62140    SH          SOLE                            62140
PPG INDUSTRIES INC                   COM               693506107  3493    66770    SH          SOLE                            66770
UNION PACIFIC CORP                   COM               907818108  3393    86728    SH          SOLE                            86728
CENDANT CORP                         COM               151313103  3359    181590   SH          SOLE                           181590
LOCKHEED MARTIN CORP                 COM               539830109  2993    146432   SH          SOLE                           146432
AMERICAN EXPRESS CO                  COM               025816109  2957    19852    SH          SOLE                            19852
XEROX CORP                           COM               984121103  2929    112647   SH          SOLE                           112647
TIMES MIRROR CO SER A NEW            COM SER A         887364107  2924    31466    SH          SOLE                            31466
AUTOMATIC DATA PROCESSING INC.       COM               053015103  2913    60378    SH          SOLE                            60378
KENNAMETAL INC                       COM               489170100  2713    90237    SH          SOLE                            90237
CHUBB CORP                           COM               171232101  2609    38620    SH          SOLE                            38620
SUN MICROSYSTEMS INC                 COM               866810104  2573    27462    SH          SOLE                            27462
WALGREEN CO NEW                      COM               931422109  2490    96696    SH          SOLE                            96696
CHARTER ONE FINL INC                 COM               16093100   2487    118425   SH          SOLE                           118425
BRISTOL MYERS SQUIBB CO              COM               110122108  2478    42728    SH          SOLE                            42728
ALZA CORP                            COM               022615108  2394    63720    SH          SOLE                            63720
ALLSTATE CORP                        COM               020002101  2338    98165    SH          SOLE                            98165
NUVEEN DIV ADVANTAGE SER T           COM               67066V101  2300      92     SH          SOLE                               92
MEAD CORP                            COM               582834107  2274    65075    SH          SOLE                            65075
*** SHELL TRANS & TRADING PLC        NEW YRK SH NEW    822703609  2272    46305    SH          SOLE                            46305
MEDIAONE GROUP INC                   COM               58440J104  2164    26716    SH          SOLE                            26716
NUVEEN FLA QUAL SER TH               COM               670978105  2000      80     SH          SOLE                               80
SBC COMMUNICATIONS INC               COM               78387G103  1997    47403    SH          SOLE                            47403
GANNETT CO INC                       COM               364730101  1956    27800    SH          SOLE                            27800
INTERNATIONAL PAPER CO               COM               460146103  1775    41524    SH          SOLE                            41524
EMERSON ELECTRIC CO                  COM               291011104  1706    32104    SH          SOLE                            32104
QUALCOMM INC                         COM               747525103  1700    11385    SH          SOLE                            11385
EASTMAN KODAK CO                     COM               277461109  1677    30885    SH          SOLE                            30885
GENERAL MOTORS CORP CL H NEW         CL H NEW          370442832  1658    13320    SH          SOLE                            13320
CBS CORPORATION                      COM               12490K107  1617    28550    SH          SOLE                            28550
HEWLETT PACKARD CO                   COM               428236103  1572    11830    SH          SOLE                            11830
GENERAL DYNAMICS CORP                COM               369550108  1529    30739    SH          SOLE                            30739
PHARMACIA & UPJOHN INC               COM               716941109  1529    25697    SH          SOLE                            25697
PITNEY BOWES INC                     COM               724479100  1404    31410    SH          SOLE                            31410
BELL ATLANTIC CORP                   COM               077853109  1403    22954    SH          SOLE                            22954
FEDERAL HOME LN MTG CORP             COM               313400301  1358    30725    SH          SOLE                            30725
MORGAN STANLEY DEAN WITTER CO        COM NEW           617446448  1341    16184    SH          SOLE                            16184
MOTOROLA INC DE                      COM               620076109  1333     9128    SH          SOLE                             9128
CATERPILLAR INC                      COM               149123101  1300    32965    SH          SOLE                            32965
NUVEEN MUNI MKT OPPORTUNITY          COM               67062W103  1300      52     SH          SOLE                               52
*** NORTEL NETWORKS CORP             COM               656569100  1212     9606    SH          SOLE                             9606
VIACOM INC CL B                      CL B              925524308  1192    22600    SH          SOLE                            22600
NUVEEN INSD MUN OPPTY SER M          COM               670984103  1125      71     SH          SOLE                               71
*** BP AMOCO PLC SPONS ADR           SPONSORED ADR     055622104  1081    20301    SH          SOLE                            20301
CORNING INC                          COM               219350105  1079     5561    SH          SOLE                             5561
FLEETBOSTON FINANCIAL CORP           COM               339030108  1075    29465    SH          SOLE                            29465
GTE CORP                             COM               362320103  1047    14741    SH          SOLE                            14741
NUVEEN PREM INCOME FD 2 SERIES F     COM               67063W102   975      39     SH          SOLE                               39
HONEYWELL INTL INC                   COM               438516106   964    18302    SH          SOLE                            18302
M & T BK CORP                        COM               55261F104   939     2103    SH          SOLE                             2103
H J HEINZ CO                         COM               423074103   929    26648    SH          SOLE                            26648
DELL COMPUTER CORP                   COM               247025109   909    16844    SH          SOLE                            16844
AMGEN INC                            COM               031162100   901    14675    SH          SOLE                            14675
CHEVRON CORP                         COM               166751107   857     9269    SH          SOLE                             9269
NORFOLK SOUTHERN CORP                COM               655844108   841    59015    SH          SOLE                            59015
CONOCO INC CL B                      CL B              208251405   839    32729    SH          SOLE                            32729
WACHOVIA CORP NEW                    COM               929771103   804    11905    SH          SOLE                            11905
GOODYEAR TIRE & RUBBER CO            COM               382550101   790    33880    SH          SOLE                            33880
RAYTHEON CO CLASS A                  CL A              755111309   788    41877    SH          SOLE                            41877
ANALOG DEVICES                       COM               032654105   725     9000    SH          SOLE                             9000
MCDONALDS CORP                       COM               580135101   695    18599    SH          SOLE                            18599
BELLSOUTH CORP                       COM               079860102   675    14408    SH          SOLE                            14408
AMERICA ONLINE INC DEL               COM               02364J104   674     9990    SH          SOLE                             9990
STAFF LEASING INC                    COM               852381102   650    111856   SH          SOLE                           111856
ORACLE CORP                          COM               68389X105   615     7883    SH          SOLE                             7883
SPRINT CORP (SERIES 1 PCS COM)       PCS COM SER 1     852061506   595     9084    SH          SOLE                             9084
ATLANTIC RICHFIELD CO DE             COM               048825103   579     6812    SH          SOLE                             6812
TERADYNE INC                         COM               880770102   566     6900    SH          SOLE                             6900
J P MORGAN & CO INC                  COM               616880100   564     4280    SH          SOLE                             4280
EXODUS COMMUNICATIONS INC            COM               302088109   562     4000    SH          SOLE                             4000
MELLON FINL CORP                     COM               585509102   537    18052    SH          SOLE                            18052
BANK NEW YORK INC                    COM               064057102   526    12660    SH          SOLE                            12660
NUVEEN PA INVT SER TH                COM               670972108   500      20     SH          SOLE                               20
MINNESOTA MINING & MFG CO            COM               604059105   466     5263    SH          SOLE                             5263
ANADARKO PETROLEUM CORP              COM               032511107   464    12000    SH          SOLE                            12000
BROADCOM CORP CL A                   CL A              111320107   461     1900    SH          SOLE                             1900
AK STEEL HOLDING CORP                COM               001547108   436    42051    SH          SOLE                            42051
SDL INC                              COM               784076101   416     1952    SH          SOLE                             1952
SCHERING PLOUGH CORP                 COM               806605101   406    10939    SH          SOLE                            10939
OLIN CORP                            COM PAR $1        680665205   405    22836    SH          SOLE                            22836
*** TELEFONICA S.A.                  SPONSORED ADR     879382208   383     5148    SH          SOLE                             5148
ALCOA INC                            COM               013817101   383     5449    SH          SOLE                             5449
CROWN CASTLE INTERNATIONAL           COM               228227104   379    10000    SH          SOLE                            10000
AMERICAN HOME PRODUCTS CORP          COM               026609107   375     6975    SH          SOLE                             6975
VIAD CORP                            COM               92552R109   364    15921    SH          SOLE                            15921
GEORGIA PACIFIC CORP                 COM GA PAC GRP    373298108   360     9102    SH          SOLE                             9102
NUVEEN PREM INCOME PFD SER B         COM               67062T100   350      14     SH          SOLE                               14
NUVEEN SELECT SER M                  COM               670973106   350      14     SH          SOLE                               14
MCLEODUSA INC                        COM               582266102   339     4000    SH          SOLE                             4000
CITY NATIONAL CORP                   COM               178566105   337    10000    SH          SOLE                            10000
QWEST COMMUNICATIONS INTL            COM               749121109   334     6950    SH          SOLE                             6950
STATE STREET CORP                    COM               857477103   310     3200    SH          SOLE                             3200
U S WEST INC (NEW)                   COM               91273H101   310     4263    SH          SOLE                             4263
NUVEEN NY PREM SER M                 COM               67101R107   300      12     SH          SOLE                               12
BECTON DICKINSON & CO                COM               075887109   295    11221    SH          SOLE                            11221
BLACK&DECKER CORPORATION             COM               091797100   282     7500    SH          SOLE                             7500
*** COTT CORP QUE                    COM               22163N106   281    50000    SH          SOLE                            50000
SAFEWAY INC NEW                      COM NEW           786514208   267     5900    SH          SOLE                             5900
DELPHI AUTOMOTIVE SYSTEMS CORP       COM               247126105   261    16331    SH          SOLE                            16331
*** NEWS CORP LTD                    ADR NEW           652487703   257     5385    SH          SOLE                             5385
NUVEEN FLA INVT QUALITY MUN FD       COM               670970102   250      10     SH          SOLE                               10
NUVEEN NJ INVT QUALITY MUN FD        COM               670971100   250      12     SH          SOLE                               12
READERS DIGEST ASSN INC CL A         CL A NON VTG      755267101   244     6905    SH          SOLE                             6905
I2 TECHNOLOGIES INC                  COM               465754109   244     2000    SH          SOLE                             2000
NATIONAL SEMICONDUCTOR CORP          COM               637640103   243     4000    SH          SOLE                             4000
MEDTRONIC INC                        COM               585055106   242     4700    SH          SOLE                             4700
IOMEGA CORP                          COM               462030107   241    63135    SH          SOLE                            63135
TARGET CORP COMMON                   COM               87612E106   239     3200    SH          SOLE                             3200
ILLINOIS TOOL WORKS INC              COM               452308109   228     4135    SH          SOLE                             4135
ARCH CHEMICALS INC                   COM               03937R102   228    11418    SH          SOLE                            11418
USA NETWORKS INC                     COM               902984103   226    10000    SH          SOLE                            10000
TEXACO INC                           COM               881694103   225     4193    SH          SOLE                             4193
CORDANT TECHNOLOGIES INC             COM               218412104   224     3960    SH          SOLE                             3960
NEXTEL COMMUNICATIONS INC CL A       CL A              65332V103   222     1500    SH          SOLE                             1500
TEXTRON INC                          COM               883203101   217     3566    SH          SOLE                             3566
C I G N A CORP                       COM               125509109   215     2841    SH          SOLE                             2841
SYSCO CORP                           COM               871829107   213     5900    SH          SOLE                             5900
PE CORP COM PE BIOSYSTEMS GRP        COM PE BIO GRP    69332S102   212     2200    SH          SOLE                             2200
WILLIAMS COS INC                     COM               969457100   208     4740    SH          SOLE                             4740
MBNA CORP                            COM               55262L100   207     8110    SH          SOLE                             8110
EATON CORP                           COM               278058102   207     2650    SH          SOLE                             2650
COLGATE PALMOLIVE CO                 COM               194162103   202     3590    SH          SOLE                             3590
NUVEEN QUALITY INCOME MUN FD         COM               670977107   200      25     SH          SOLE                               25
HASBRO INC                           COM               418056107   177    10615    SH          SOLE                            10615
SELECT COMFORT CORP                  COM               81616X103   176    32000    SH          SOLE                            32000
SYLVAN LEARNING SYS INC              COM               871399101   159    10000    SH          SOLE                            10000
NABISCO GROUP HLDG CORP              COM               62952P102   136    11300    SH          SOLE                            11300
JMAR TECHNOLOGIES INC                WT EXP 051500     466212115   124    11000    SH          SOLE                            11000
JLK DIRECT DISTR INC CLASS A         CL A              46621C105   104    11426    SH          SOLE                            11426
CREATIVE BIOMOLECULES INC            COM               225270107   99     10000    SH          SOLE                            10000
MIDDLEBY CORP                        COM               596278101   96     16800    SH          SOLE                            16800
GLOBAL VACATION GROUP INC            COM               37937F106   90     24900    SH          SOLE                            24900
EDGE PETE CORP DEL                   COM               279862106   33     12850    SH          SOLE                            12850
</TABLE>


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