AYCO CO L P
13F-HR, 2000-11-14
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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:  September 30, 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    November 14, 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:         223

Form 13F Information Table Value Total:         $1,515,607,972


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


Name of Issuer                             TITLE OF CLASS  CUSIP     VALUE     SHARES      PRN PUT/         OTHER VOTING AUTHORITY
                                                                               PRN AMOUNT      CALLDSCRETN  MGRS  SOLE SHARED  NONE
ABBOTT LABORATORIES                        COM              002824100  5088288       106979SH      SOLE                      106979
AK Steel Holding                           COM              001547108   394228        42051SH      SOLE                       42051
Alcoa                                      COM              138171010   305427        12066SH      SOLE                       12066
ALLSTATE CORP                              COM              020002101  3387778        97090SH      SOLE                       97090
Alza                                       COM              022615108  4083665        47310SH      SOLE                       47310
AMER INTL GROUP INC                        COM              026874107 46434238       480856SH      SOLE                      480856
AMERICA ONLINE INC DEL                     COM              02364J104   752231        18305SH      SOLE                       18305
American Express                           COM              025816109  3407338        56187SH      SOLE                       56187
AMGEN INC                                  COM              031162100  1073606        15675SH      SOLE                       15675
AmSouth Bancorporation                     COM              032165102   174888        13991SH      SOLE                       13991
ANADARKO PETE CORP                         COM              032511107   949381        14285SH      SOLE                       14285
APPLIED MATERIALS INC                      COM              038222105 12574118       211996SH      SOLE                      211996
Arch Chemicals                             COM              03937R102   248051        11418SH      SOLE                       11418
AT & T CORP LIBERTY MEDIA GR               COM              001957208 26809822      1484933SH      SOLE                     1484933
AT&T                                       COM LIB GRP A    001957109  3250059       116618SH      SOLE                      116618
Automatic Data Processing                  COM              053015103  3619808        53132SH      SOLE                       53132
Bank of America                            COM              060505104  9194843       178181SH      SOLE                      178181
Bank of New York                           COM              064057102   648649        11570SH      SOLE                       11570
Bank One                                   COM              06423a103   263075         6811SH      SOLE                        6811
Banknorth Group                            COM              06646L107   722239        40405SH      SOLE                       40405
BellSouth                                  COM              079860102  1031608        25630SH      SOLE                       25630
Berkshire Hathaway                         CL A             084670207  9755450          151SH      SOLE                         151
Berkshire Hathaway Inc. Cl B               CL B             084670207 19758150         9367SH      SOLE                        9367
BestFoods                                  COM              08658U101   205810         3022SH      SOLE                        3022
BLACKROCK INSD 2008 TR PFD AUC RTE R7      COM              09247k406   675000           27SH      SOLE                          27
BLACKROCK MUN TARGET PFD STK SER F7        COM              09247m402  1175000           47SH      SOLE                          47
Boeing                                     COM              097023105 14196111       224333SH      SOLE                      224333
Bristol-Myers Squibb                       COM              110122108  2942966        52518SH      SOLE                       52518
British Petroleum                          SPONSORED ADR    055622104  1627630        30710SH      SOLE                       30710
Broadcom                                   COM              111320206   463125         1900SH      SOLE                        1900
Burlington Northern Santa Fe               COM              12189t104  9279081       428574SH      SOLE                      428574
Caterpillar                                COM              149123101   622524        19294SH      SOLE                       19294
Cendant                                    COM              151313103  1959892       181120SH      SOLE                      181120
Charles Schwab                             COM              808513105  3308955        93210SH      SOLE                       93210
Charter One Financial                      COM              160903100  2424313        99459SH      SOLE                       99459
Chase Manhattan                            COM              16161A108 28110405       607032SH      SOLE                      607032
Chevron                                    COM              166751107   829142        11301SH      SOLE                       11301
Chubb                                      COM              171232101  2933322        37072SH      SOLE                       37072
Cigna                                      COM              125509109   280940         2691SH      SOLE                        2691
Cisco Systems                              COM              17275R102 49969757       903232SH      SOLE                      903232
Citigroup                                  COM              172967101 53915397       985548SH      SOLE                      985548
City National                              COM              178566105   386250        22915SH      SOLE                       22915
Coca-Cola                                  COM              191216100 21927202       390770SH      SOLE                      390770
Comcast                                    CL A SPL         200300200 11263804       281443SH      SOLE                      281443
Compaq Computer                            COM              204493100 13387207       483295SH      SOLE                      483295
Computer Associates International          COM              204912109   208758        11088SH      SOLE                       11088
CONOCO INC CL B                            COM              208251405   731151        26408SH      SOLE                       26408
Corning                                    COM              219350105  1628451         6217SH      SOLE                        6217
Cott                                       COM              22163N106   600000       100000SH      SOLE                      100000
Cox Communications A                       COM              224044107  2793092        73022SH      SOLE                       73022
Crown Castle International                 COM              228227104   310630        10000SH      SOLE                       10000
Cymer                                      COM              232572107   375529        12237SH      SOLE                       12237
Dell Computer                              COM              247025109   504717        16380SH      SOLE                       16380
Du Pont De Nemours E.I.                    COM              263534109 11106004       264513SH      SOLE                      264513
e.spire Communications                     COM              269153102   146900        53501SH      SOLE                       53501
Eastman Kodak                              COM              277461109  1107753        27101SH      SOLE                       27101
Eaton                                      COM              278058102   231094         3750SH      SOLE                        3750
Edge Petroleum                             COM              279862106    52210        12850SH      SOLE                       12850
Electronic Data System                     COM              285661104   230118         5545SH      SOLE                        5545
Eli Lilly & Company                        COM              532457108   225528         2780SH      SOLE                        2780
EMC                                        COM              268648102 66720541       673095SH      SOLE                      673095
Emerson Electric                           COM              291011104  1653574        23680SH      SOLE                       23680
Enron                                      COM              293561106 47035491       536378SH      SOLE                      536378
Ericsson Telephone ADR B                   COM              294821400   187651        14068SH      SOLE                       14068
Exodus Communications                      COM              302088109   407591         8255SH      SOLE                        8255
ExxonMobil                                 COM              30231G102 22147276       241886SH      SOLE                      241886
Fannie Mae                                 COM              313586109 47208270       665410SH      SOLE                      665410
Federated Department Stores                COM              31410H101  7251464       278168SH      SOLE                      278168
First American Financial                   COM              318522307   208750        10850SH      SOLE                       10850
First Data                                 COM              319963104 20589339       526727SH      SOLE                      526727
First Security                             COM              336294103   261008        16350SH      SOLE                       16350
FleetBoston Financial                      COM              339030108  1143597        29323SH      SOLE                       29323
Ford Motor                                 COM              345370100  9049522       357156SH      SOLE                      357156
Freddie Mac                                COM              313400301  1409334        26417SH      SOLE                       26417
Gannett                                    COM              364730101  1026699        18821SH      SOLE                       18821
General Dynamics                           COM              369550108  2040857        33041SH      SOLE                       33041
General Electric                           COM              369604103 62374024      1065529SH      SOLE                     1065529
General Motors                             COM              370442105  4928154        91367SH      SOLE                       91367
General Motors H                           CL H NEW         370442832  3376390        90962SH      SOLE                       90962
Georgia-Pacific Group                      COM GA PAC GRP   373298108   204497         8702SH      SOLE                        8702
Gillette                                   COM              375766102  5211048       167878SH      SOLE                      167878
Global Crossing                            COM              G3921A100   500774        17054SH      SOLE                       17054
Global Vacation Group                      COM              37937F106    77813        24900SH      SOLE                       24900
Goodyear Tire & Rubber                     COM              382550101   484643        25724SH      SOLE                       25724
Halliburton                                COM              406216101 12686234       257230SH      SOLE                      257230
Hasbro                                     COM              418056107   115524        13300SH      SOLE                       13300
Heinz HJ                                   COM              423074103   626661        16908SH      SOLE                       16908
Hewlett-Packard                            COM              428236103   897735         9255SH      SOLE                        9255
Home Depot                                 COM              437076102 43362186       815382SH      SOLE                      815382
Homebase                                   COM              43738e108    32820        16800SH      SOLE                       16800
Honeywell International                    COM              438516106   688560        19328SH      SOLE                       19328
Household International                    COM              441815107 26977818       475828SH      SOLE                      475828
I2 Technologies                            COM              465754109   374126         2600SH      SOLE                        2600
IBM                                        COM              459200101 14254313       120305SH      SOLE                      120305
Illinois Tool Works                        COM              452308109   231043        10535SH      SOLE                       10535
Intel                                      COM              458140100 59896964      1436759SH      SOLE                     1436759
International Paper                        COM              460146103   886678        34357SH      SOLE                       34357
Iomega                                     COM              462030107   315675        64035SH      SOLE                       64035
J.P. Morgan & Co.                          COM              616880100   542078         3318SH      SOLE                        3318
JC Penney                                  COM              708160106   119524        10118SH      SOLE                       10118
JLK Direct Distribution A                  COM              46621C105    98549        11426SH      SOLE                       11426
JMAR Technologies                          COM              466212107    91443        11000SH      SOLE                       11000
Johnson & Johnson                          COM              478160104 27180969       288548SH      SOLE                      288548
Kansas City Southern Industries            COM              485170302   260640        30800SH      SOLE                       30800
Kennametal                                 COM              489170100  2066103        80237SH      SOLE                       80237
Kimberly-Clark                             COM              494368103 10314521       184603SH      SOLE                      184603
Lehman Brothers Holdings                   COM              524908100   341007         2508SH      SOLE                        2508
Lockheed Martin                            COM              539830109  3021278        91665SH      SOLE                       91665
Lucent Technologies                        COM              549463107 10496341       343183SH      SOLE                      343183
M & T Bank                                 COM              55261F104  1072530         2353SH      SOLE                        2353
Marsh & McLennan Companies                 COM              571748102  8095361        60982SH      SOLE                       60982
MBIA                                       COM              55262C100   212877         2993SH      SOLE                        2993
MBNA                                       COM              55262L100   467429        12141SH      SOLE                       12141
McDonald's                                 COM              580135101   431809        14304SH      SOLE                       14304
MCI Worldcom                               COM              98155K102 26615879       876243SH      SOLE                      876243
McLeodUSA A                                COM              582266102   171756        12000SH      SOLE                       12000
Mead                                       COM              582834107  1168750        50000SH      SOLE                       50000
Medtronic                                  COM              585055106  5166273        99710SH      SOLE                       99710
Mellon Financial                           COM              58551A108   523667        11292SH      SOLE                       11292
Merck                                      COM              589331107 28457284       380993SH      SOLE                      380993
METRO-COUNTY BK VA INC COM                 COM              59160a109   128563        16425SH      SOLE                       16425
Microsoft                                  COM              594918104 33866100       558507SH      SOLE                      558507
Minnesota Mining & Manufacturing           COM              604059105   406053         7456SH      SOLE                        7456
Mobile Climate Control                     COM              606923100    56848       161500SH      SOLE                      161500
MORGAN STAN DEAN WITTR INSD MUN INC 4      INSD MUN INC     61745p791  1100000           22SH      SOLE                          22
MORGAN STAN DEAN WITTR QLTY MUN INV A      QLTY MUN INV A   61745p759  1800000           36SH      SOLE                          36
MORGAN STAN DEAN WITTR QUALT MUN IN 4      QUALT MUN IN     61745p650  1800000           36SH      SOLE                          36
Morgan Stanley Dean Witter & Co.           COM NEW          617446448  1415822         7904SH      SOLE                        7904
MORGAN STANLEY DEAN WITTER CAL INSD MUN IN INSD MUN IN      61745p742  1200000         7604SH      SOLE                        7604
MORGAN STANLEY DEAN WITTER CAL INSD MUN IN INSD MUN IN      61745p783   300000            6SH      SOLE                           6
MORGAN STANLEY DEAN WITTER INSD MUN INCOME INSD MUN INCOME  61745p858  5400000          108SH      SOLE                         108
MORGAN STANLEY DEAN WITTER MUN PREMIUM INC MUN PREMIUM INC  61745p395   400000            4SH      SOLE                           4
MORGAN STANLEY DEAN WITTER QUALITY MUN INC QUALITY MUN INC  61745p676  6100000          122SH      SOLE                         122
Motorola                                   COM              620076109   734815        23610SH      SOLE                       23610
MUNIENHANCED FD INC AUCT MKT PFD SER C DAY COM              626243406  4250000         2570SH      SOLE                        2570
MUNIHOLDINGS CA INS II PFD AUCT STK B      COM              62625b308  1000000           40SH      SOLE                          40
MUNIHOLDINGS FD II INC PFD AUCT MKT B      COM              625935309  2650000          106SH      SOLE                         106
MUNIHOLDINGS FD INC PFD AUCT MKT A         COM              62625h206  1475000           59SH      SOLE                          59
MUNIHOLDINGS FD INC PFD AUCT MKT B         COM              62625h305  1100000           44SH      SOLE                          44
MUNIHOLDINGS FLA INSD PFD AUC MKT B        COM              62624w204   675000           27SH      SOLE                          27
MUNIHOLDINGS FLA INSD SER C-M              COM              62624W408  1975000           79SH      SOLE                          79
MUNIHOLDINGS FUND II INC AUCTION MKT PFD S COM              625935200  4750000          190SH      SOLE                         190
MUNIHOLDINGS INS FD II SER B AUCTION MKT P COM              62625a300  1400000           56SH      SOLE                          56
MUNIHOLDINGS INSD FD II INC AUCTION MKT PF COM              62625a201  3750000          150SH      SOLE                         150
MUNIHOLDINGS INSD FD INC                   COM              625930300  3600000          144SH      SOLE                         144
MUNIHOLDINGS NEW YORK INSD FD AUCTION MKT  COM              62625Y209   500000           20SH      SOLE                          20
Muniholdings NY Insd FD Inc                COM              625931308   250000           10SH      SOLE                          10
MUNIVEST FD II INC AUCT MKT PFD SR C       COM              62629P402  3700000          148SH      SOLE                         148
MUNIVEST FUND INC AUCTION MKT PFD SERIES E COM              626295604  4650000          186SH      SOLE                         186
MUNIYIELD FD INC AUCT MKT PFD STK SR E 3.5 COM              626299606  2000000           80SH      SOLE                          80
MUNIYIELD INSD FD INC AUCT MKT PFD STK SR  COM              62630E800  1400000           56SH      SOLE                          56
MUNIYIELD INSD FD-E 7DY                    COM              62630E602  2325000           93SH      SOLE                          93
MUNIYIELD MICH INSD FD INC 7DY ADJ         COM              62630j205   700000           28SH      SOLE                          28
MUNIYIELD QUALITY II C 7DAY ADJ            COM              62630t401  1750000           70SH      SOLE                          70
Nabisco Group Holdings                     COM              62952P102   285000        10000SH      SOLE                       10000
Nestle S A Sponsored                       COM              641069406   302750         2800SH      SOLE                        2800
Newell Rubbermaid                          COM              651229106  3630119       159125SH      SOLE                      159125
NEWS CORP LTD SPONS ADR REPTSG PFD LTD     COM              652487802   391406         8350SH      SOLE                        8350
Nokia ADR                                  COM              654902204   288644         7250SH      SOLE                        7250
Norfolk Southern                           COM              655844108   602969        39228SH      SOLE                       39228
Nortel Networks                            COM              665815106   779203        15082SH      SOLE                       15082
NUVEEN DIVID ADVNT MUN PFD AUCT MUNTH      COM              67066v408  1000000           40SH      SOLE                          40
NUVEEN FLA INVT QUALTY PFD MUN AUCT T      COM              670970201   400000           16SH      SOLE                          16
Nuveen INSD Fla Prem Income                COM              67101V207  1125000           45SH      SOLE                          45
NUVEEN INSD PREM MUN 2 PFD AUC MKT M       COM              6706d8203  3425000          137SH      SOLE                         137
NUVEEN INVT QUALITY PFD MUN AUCT T         COM              67062e301  1000000           40SH      SOLE                          40
NUVEEN MUN MKT OPPORTUNITY FD 7DAY ADJ 3.6 COM              67062w400  1000000           40SH      SOLE                          40
NUVEEN NJ INVT QUALITY PFD AUC RTE TH      COM              67101n205   250000           10SH      SOLE                          10
Nuveen PA Invt Quality Mun Fd              COM              670972306   500000           20SH      SOLE                          20
NUVEEN PREM INCM MUN FD 2 SR T             COM              67063w300  2000000           80SH      SOLE                          80
Nuveen Select Qual Mun Fd                  COM              670973403  1575000           63SH      SOLE                          63
NUVEEN SELECT QUAL MUN FD MUN 7DY SER T 3. COM              670973502   450000           18SH      SOLE                          18
Olin                                       COM PAR $1       680665205   369669        22836SH      SOLE                       22836
Oracle                                     COM              68389X105   827111        10503SH      SOLE                       10503
PE Corp - PE Biosystems                    COM              69332S102   238825         2050SH      SOLE                        2050
Pennzoil-Quaker State                      COM              709323109   180894        17228SH      SOLE                       17228
PepsiCo                                    COM              713448108 35203646       756893SH      SOLE                      756893
Pfizer                                     COM              717081103 52740259      1171869SH      SOLE                     1171869
PHARMACIA CORP                             COM              71713u102  1200931        30103SH      SOLE                       30103
Pitney Bowes                               COM              724479100  1125079        27727SH      SOLE                       27727
PPG Industries                             COM              693506107  2649968        67570SH      SOLE                       67570
Procter & Gamble                           COM              742718109 10798776       157875SH      SOLE                      157875
Qualcomm                                   COM              747525103  1064119        18235SH      SOLE                       18235
QWEST COMMUNICATIONS INTL                  COM              749121109   526482        10954SH      SOLE                       10954
Raytheon Co.                               CL A             755111309   988630        34614SH      SOLE                       34614
Reader's Digest Association A              CLA NON VTG      755267101   243836         8405SH      SOLE                        8405
ROYAL DUTCH PETE CO NY REG GLD1.25         NY REG GLD1.25   780257804 25744286       428914SH      SOLE                      428914
Safeguard Scientifics                      COM              786449108   286110        14950SH      SOLE                       14950
Safeway                                    COM              786514208   205427         4400SH      SOLE                        4400
SBC Communications                         COM              78387g103  2722900        54458SH      SOLE                       54458
Schlumberger                               COM              806857108 18023837       218966SH      SOLE                      218966
SDL                                        COM              784076101   603779         1952SH      SOLE                        1952
Shell Transport & Trading ADR              NEW YRK SH NEW   822703609  5109127       104400SH      SOLE                      104400
Sprint                                     COM FON GROUP    852061100  1522224        50830SH      SOLE                       50830
Staff Leasing                              COM              852381102   422928       112956SH      SOLE                      112956
Staples                                    COM              855030102 11220722       790860SH      SOLE                      790860
State Street                               COM              857477103   221000         1700SH      SOLE                        1700
STILWELL FINL INC COM                      COM              860831106  3480000        80000SH      SOLE                       80000
Sun Microsystems                           COM              866810104  3195915        27374SH      SOLE                       27374
Sysco                                      COM              871829107   258195         5575SH      SOLE                        5575
TELEFONICA S A SPONSORED ADR               SPONSORED ADR    879382208   639315        10756SH      SOLE                       10756
Texaco                                     COM              881694103   242603         4621SH      SOLE                        4621
Texas Instruments                          COM              882508104 29667851       626315SH      SOLE                      626315
Thermo Electron                            COM              883556102  4273542       166767SH      SOLE                      166767
Time Warner                                COM              887315109 35451713       452455SH      SOLE                      452455
Transocean Sedco Forex                     COM              G90078109   364825         6823SH      SOLE                        6823
Tribune                                    COM              896047107  1434608        32885SH      SOLE                       32885
Tyco International                         COM              902120106 11942557       229742SH      SOLE                      229742
Union Pacific                              COM              907818108  4194870       108381SH      SOLE                      108381
United HealthCare                          COM              910581107  7949290        80499SH      SOLE                       80499
UTS SPOR TRUST SER 1                       COM              78462F103   743690         5178SH      SOLE                        5178
VERIZON COMMUNICATIONS COM                 COM              92343v104  4732295        97332SH      SOLE                       97332
Viacom Inc                                 CL B             925524308  4128053        70931SH      SOLE                       70931
Viad                                       COM              92552R109   290095        10921SH      SOLE                       10921
Vodafone Airtouch PLC ADR                  SPONSORED ADR    92857T107 71767619      1937410SH      SOLE                     1937410
VoiceStream Wireless                       COM              928615103  1020774        11045SH      SOLE                       11045
Wachovia                                   COM              929771103   528899         9330SH      SOLE                        9330
Walgreen                                   COM              931422109  2562807        66352SH      SOLE                       66352
Wal-Mart Stores                            COM              931142103  8082045       168337SH      SOLE                      168337
Walt Disney                                COM              254687106 28417120       741729SH      SOLE                      741729
Washington Mutual                          COM              939322103   214035         7376SH      SOLE                        7376
Wells Fargo                                COM              949746101  7570167       164390SH      SOLE                      164390
Williams Companies                         COM              969457100   277794         6975SH      SOLE                        6975
Xerox                                      COM              984121103   500027        33195SH      SOLE                       33195

</TABLE>


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