ADVISORS SERIES TRUST
N-30D, 2001-01-08
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                                     [LOGO]


                                 NATIONAL ASSET
                                 MANAGEMENT CORE
                                   EQUITY FUND




                               SEMI-ANNUAL REPORT

                            FOR THE SIX MONTHS ENDED
                                OCTOBER 31, 2000
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


December 15, 2000


Dear Fellow Shareholder:

We are pleased to provide you with this shareholder update on the performance of
the National  Asset  Management  Core Equity Fund. The Fund continues to perform
well even  though the broad  equity  market has been weak this year.  During the
first ten months of 2000, the Fund produced a cumulative  total return of 3.25%,
while the S&P 500 Index has declined by 1.79%. The Fund started June 2, 1999 and
since it's inception has earned an annualized total return of 12.03%,  while the
S&P 500 Index gained 8.09%.

The goal of the Fund is to earn a high  total  investment  return.  This goal is
pursued by staying  fully  invested in the stock market and by using two classic
investment  approaches,  value and  growth  investing,  in the  portfolio.  This
philosophy is implemented  by  diversifying  the portfolio  with  investments in
three  different  types of stocks:  growth,  yield,  and low P/E.  Each performs
differently  during different  economic  conditions.  The Fund invests in stocks
with these attributes  because they each have performed quite well over the long
term.

The market  environment  has been quite  volatile,  with the tug of war  between
growth stocks and value stocks intensifying. Large capitalization growth stocks,
which had been favored by investors during the period of strong economic growth,
finally  succumbed to the double  whammy of the Federal  Reserve  interest  rate
hikes and rising inflationary fears of the summer. Many of the market's favorite
technology  stocks,  which  had led the  market  up in 1999,  began to  announce
disappointing  revenue  growth.  Investors  punished each of these  companies by
immediately  selling the stock in such large  volume that many times prices fell
by 30% or more  after the  announcement.  Investors  began to seek the safety of
traditional  value  stocks  such as energy  companies  and  utilities  that were
trading at bargain  prices after  having been  ignored by investors  for several
years.  The Fund did not hold the worst  performing  technology  stocks  and has
benefited from a slight  preference  for value stocks.  This is how the Fund has
continued to produce a positive rate of return while the equity market  declined
during the first ten months of the year.

The Fund is broadly  diversified  across the major economic sectors of the large
capitalization  equity  market.  The largest  sector  weighting is in technology
stocks that compose 21% of the portfolio. This is very similar to the technology
weighting in the S&P 500 Index.  Financial  stocks also  represent a significant
portion of the  portfolio  at 20%.  These two  sectors  illustrate  the  balance
between growth and value stocks currently in the portfolio.

                                        2
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


The period of sharp volatility in the stock market,  brought on by the string of
Federal  Reserve  rate  hikes,  has now been  prolonged  by a steady  string  of
corporations  announcing  disappointing  revenue  and  earnings  outlooks.  This
volatility is likely to continue  until  investors  become  accustomed to weaker
economic  news.  We believe the  portfolio  currently  owns enough  conservative
holdings to defend its value somewhat from additional market weakness associated
with a modest slowing in economic activity.

We thank  you for your  support  and the trust  you have  expressed  is in us by
investing  in the  Fund.  We  look  forward  to a long  and  mutually  rewarding
relationship.

Sincerely,

National Asset Management Equity Team


Past  performance  of the Fund and the S&P 500 Index is not predictive of future
performance. Fund share values will fluctuate so that an investor's shares, when
redeemed,  may be worth more or less than the original  investment.  The S&P 500
Index is an unmanaged  capitalization-weighted  index of 500 stocks  designed to
represent  the broad  domestic  economy.  Indexes are not  available  for direct
investment and do not incur expenses.

The information contained in this report is authorized for use when proceeded or
accompanied  by a prospectus for the Fund. The Fund is distributed by First Fund
Distributors, Inc., 4455 E. Camelback Rd., Suite 261E, Phoenix, AZ 85018.

                                        3
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


SCHEDULE OF INVESTMENTS AT OCTOBER 31, 2000 (UNAUDITED)
--------------------------------------------------------------------------------
      Shares      COMMON STOCKS: 98.89%                             Market Value
--------------------------------------------------------------------------------

                  BASIC INDUSTRY:  4.23%
       4,360      Alcoa Inc......................................   $   125,078
       2,740      E. I. du Pont de Nemours and Company ..........       124,328
       4,280      Praxair, Inc...................................       159,430
       3,950      Williamette Industries, Inc....................       143,434
                                                                    -----------
                                                                        552,269
                                                                    -----------
                  CAPITAL GOODS:  8.62%
       2,950      Caterpillar Inc................................       103,434
       5,210      Deere & Company................................       191,793
       8,002      General Electric Company.......................       438,610
       4,620      Ingersoll-Rand Company.........................       174,405
       1,300      Pitney Bowes Inc...............................        38,594
       1,450      SPX Corporation*...............................       179,256
                                                                    -----------
                                                                      1,126,092
                                                                    -----------
                  COMMUNICATION:  3.12%
       4,805      MCI Worldcom Incorporated*.....................       114,119
       3,160      SBC Communications Inc.........................       182,293
       2,220      Tellabs, Inc.*.................................       110,861
                                                                    -----------
                                                                        407,273
                                                                    -----------
                  CONSUMER CYCLICAL:  9.54%
       1,160      Cintas Corporation*............................        53,795
       3,530      Costco Companies, Inc.*........................       129,286
       9,060      Masco Corporation..............................       169,309
       7,080      Target Corporation.............................       195,585
       5,556      The Home Depot, Inc............................       238,908
       4,630      The Interpublic Group of Companies, Inc........       198,801
       5,752      Wal-Mart Stores, Inc...........................       260,997
                                                                    -----------
                                                                      1,246,681
                                                                    -----------
                  CONSUMER STAPLES:  5.64%
       4,320      CVS Corporation................................       228,690
       3,460      Safeway Inc.*..................................       189,219
       6,980      Walgreen Co....................................       318,463
                                                                    -----------
                                                                        736,371
                                                                    -----------
                  ENERGY:  8.04%
       1,960      Chevron Corporation............................       160,965
       5,961      Exxon Mobil Corporation*.......................       531,647
       2,740      Schlumberger Limited...........................       208,583
       2,530      Texaco Inc.....................................       149,428
                                                                    -----------
                                                                      1,050,622
                                                                    -----------

                                        4
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


SCHEDULE OF INVESTMENTS AT OCTOBER 31, 2000 (UNAUDITED), CONT.
--------------------------------------------------------------------------------
      Shares                                                        Market Value
--------------------------------------------------------------------------------

                  FINANCE:  20.23%
       2,000      American General Corporation...................       161,000
       5,357      American International Group, Inc..............       524,986
       4,746      Citigroup Inc..................................       249,758
       2,250      Comerica Incorporated..........................       135,703
       3,056      Commerce Bancshares, Inc.......................       109,825
       3,560      Fannie Mae.....................................       274,120
       5,230      Freddie Mac....................................       313,800
         630      Marsh & McLennan Companies, Inc................        82,373
       2,300      MGIC Investment Corporation....................       156,688
       3,810      Radian Group Inc...............................       270,034
       4,665      The Chase Manhattan Bank.......................       212,258
       2,075      The PMI Group, Inc.............................       153,291
                                                                    -----------
                                                                      2,643,834
                                                                    -----------
                  HEALTHCARE:  11.91%
       4,146      Bristol-Myers Squibb Company...................       252,647
       2,360      Johnson & Johnson..............................       217,415
       5,840      Medtronic, Inc.................................       317,185
       4,103      Merck & Co, Inc................................       369,014
       4,660      Pfizer, Inc....................................       201,254
       5,010      Tenet Healthcare Corporation*..................       196,956
                                                                    -----------
                                                                      1,554,470
                                                                    -----------
                  SERVICES:  6.56%
       7,123      Automatic Data Processing......................       465,221
       2,759      Computer Sciences Corporation*.................       173,817
       4,150      Fiserv, Inc.*..................................       217,616
                                                                    -----------
                                                                        856,654
                                                                    -----------
                  TECHNOLOGY:  21.00%
       5,620      Altera Corporation.............................       230,069
       3,200      Applied Micro Circuits Corporation.............       244,400
       7,842      Cisco Systems, Inc.*...........................       422,488
       3,120      Dell Computer Corporation*.....................        92,040
       1,770      EMC Corporation................................       157,641
       6,088      Intel Corporation*.............................       273,960
         200      JDS Uniphase Corporation*......................        16,275
       2,080      Kimberly-Clark Corporation.....................       137,280
       2,890      Maxim Integrated Products, Inc*................       191,643
       4,845      Microsoft Corporation*.........................       333,699
       4,140      Oracle Corporation.............................       136,620

                                        5
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


SCHEDULE OF INVESTMENTS AT OCTOBER 31, 2000 (UNAUDITED), CONT.
--------------------------------------------------------------------------------
      Shares                                                        Market Value
--------------------------------------------------------------------------------

                  TECHNOLOGY, CONT.
       2,080      Siebel Systems, Inc............................       218,270
       1,440      Sun Microsystems, Inc.*........................       159,660
       1,870      Vitesse Semiconductor Corporation*.............       130,783
                                                                    -----------
                                                                      2,744,828
                                                                    -----------

                  Total Common Stocks (Cost $12,295,297+)........    12,919,094
                                                                    -----------


Principal Amount  SHORT-TERM INVESTMENTS: 1.10%                     Market Value
--------------------------------------------------------------------------------
    $144,606      Firstar Stellar Treasury Fund
                    (Cost $144,606)..............................       144,606
                                                                    -----------

                  Total Investment in Securities
                    (Cost $12,439,902):  99.99%..................    13,063,699
                  Asset in Excess of Liabilities:  0.01%.........         1,007
                                                                    -----------
                  Net Assets: 100%...............................   $13,064,706
                                                                    ===========

* Non-income producing security.
+ Gross unrealized appreciation and depreciation of securities is as follows:

                  Gross unrealized appreciation..................   $ 1,591,651
                  Gross unrealized depreciation..................      (967,854)
                                                                    -----------
                       Net unrealized appreciation...............   $   623,797
                                                                    ===========

                                        6
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


STATEMENT OF ASSETS AND LIABILITIES
AT OCTOBER 31, 2000 (UNAUDITED)
--------------------------------------------------------------------------------

ASSETS
    Investments in securities, at value
       (identified cost $12,439,902).............................   $13,063,699
    Receivables
       Receivable for Securities Sold............................        51,702
       Dividends and interest ...................................         7,482
       Fund shares sold..........................................         3,153
    Prepaid expenses ............................................         3,911
                                                                    -----------
          Total assets...........................................    13,129,947
                                                                    -----------

LIABILITIES
    Payables
       Due to Advisor............................................           797
       Securities Purchased......................................        46,748
    Accrued expenses.............................................        17,696
                                                                    -----------
          Total liabilities......................................        65,241
                                                                    -----------

NET ASSETS.......................................................   $13,064,706
                                                                    ===========

NET ASSET VALUE, OFFERING AND REDEMPTION PRICE PER SHARE
    [$13,064,706 / 1,112,489 shares outstanding;
    unlimited number of shares (par value $0.01) authorized].....   $     11.74
                                                                    ===========

COMPONENTS OF NET ASSETS
    Paid-in capital..............................................   $12,322,031
    Undistributed net investment income..........................         1,331
    Accumulated net realized gain on investments.................       117,547
    Net unrealized appreciation on investments ..................       623,797
                                                                    -----------
       Net assets................................................   $13,064,706
                                                                    ===========

See accompanying Notes to Financial Statements.

                                        7
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


STATEMENT OF OPERATIONS
FOR THE YEAR ENDED OCTOBER 31, 2000 (UNAUDITED)
--------------------------------------------------------------------------------

INVESTMENT INCOME
    Income
       Dividends.................................................   $    52,565
       Interest..................................................         3,760
                                                                    -----------
          Total income...........................................        56,325
                                                                    -----------

    Expenses
       Administration fee (Note 3)...............................        15,123
       Professional fees.........................................         9,579
       Fund accounting fees......................................         9,075
       Advisory fees (Note 3)....................................        28,944
       Transfer agent fees.......................................         8,571
       Custodian fees............................................         4,828
       D&O/Fidelity Insurance....................................           875
       Other ....................................................         1,008
       Reports to shareholders...................................         2,811
       Trustees' fees............................................         2,168
       Registration fees.........................................           403
                                                                    -----------
          Total expenses.........................................        83,385
          Less, advisory fee waiver and absorption (Note 3)......       (28,391)
                                                                    -----------
          Net expenses...........................................        54,994
                                                                    -----------
              Net investment income..............................   $     1,331
                                                                    -----------

REALIZED AND UNREALIZED GAIN ON INVESTMENTS
    Net realized gain from security transactions.................       111,559
    Net change in unrealized appreciation on investments.........       232,538
                                                                    -----------
       Net realized and unrealized gain on investments...........       344,097
                                                                    -----------
             Net Increase in Net Assets Resulting from
                 Operations......................................   $   345,428
                                                                    ===========

See accompanying Notes to Financial Statements.

                                        8
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


STATEMENTS OF CHANGES IN NET ASSETS
--------------------------------------------------------------------------------
                                             Six Months ended   June 2, 1999* to
                                             October 31, 2000#   April 30, 1999
                                             -----------------   --------------

INCREASE / (DECREASE) IN NET ASSETS FROM
OPERATIONS:
   Net investment income...................         $ 1,331           $ 3,471
   Net realized gain on security
    transactions ..........................         111,559             3,214
   Net change in unrealized appreciation
    on investments.........................         232,538           391,259
                                                -----------       -----------
       Net increase in net assets resulting
        from operations....................         345,428           397,944
                                                -----------       -----------
DIVIDENDS AND DISTRIBUTIONS TO SHAREHOLDERS
   Net realized gain on security transactions            --              (916)
                                                -----------       -----------

TRANSACTIONS IN SHARES OF BENEFICIAL INTEREST
   Net increase in net assets derived
    from net change in outstanding
    shares (a).............................       2,115,588        10,206,662
                                                -----------       -----------
   Total increase in net assets............       2,461,016        10,603,690

NET ASSETS
Beginning of period........................      10,603,690                --
                                                -----------       -----------
End of period..............................     $13,064,706       $10,603,690
                                                ===========       ===========

(a) A summary of shares transactions is as follows:

                                Six Months ended           June 2, 1999* to
                                October 31, 2000#           April 30, 2000
                             -----------------------    -----------------------
                              Shares        Value        Shares        Value
                             ---------   -----------    ---------   -----------
Shares sold ...............    215,511   $ 2,486,784      930,366   $10,222,815
Shares redeemed............    (31,939)     (371,196)      (1,449)      (16,153)
                             ---------   -----------    ---------   -----------
Net increase...............    183,572   $ 2,115,588      928,917   $10,206,662
                             =========   ===========    =========   ===========

* Commencement of operations.
# Unaudited.

See accompanying Notes to Financial Statements.

                                        9
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


FINANCIAL HIGHLIGHTS
FOR A CAPITAL SHARE OUTSTANDING THROUGHOUT EACH PERIOD
--------------------------------------------------------------------------------
                                                  Six Months      June 2, 1999*
                                                     ended            through
                                               October 31, 2000#  April 30, 2000
                                               -----------------  --------------

Net asset value, beginning of period...........     $ 11.42          $ 10.00
                                                    -------          -------
Income from investment operations:
     Net investment income.....................          --             0.01
     Net realized and unrealized gain on
      investments..............................        0.32             1.42
                                                    -------          -------
Total from investment operations...............        0.32             1.43
                                                    -------          -------
Less distributions:
     Dividends from net investment income......          --            (0.01)
                                                    -------          -------

Net asset value, end of period.................     $ 11.74          $ 11.42
                                                    =======          =======

Total return   ................................        2.80%++         14.26%++

Ratios/supplemental data:
Net assets, end of period (000)................     $13,065          $10,604

Ratio of expenses to average net assets:
     Before expense reimbursement..............        1.44%+           5.47%+
     After expense reimbursement...............        0.95%+           0.95%+

Ratio of net investment income to
  average net assets:
     After expense reimbursement...............        0.02%+           0.14%+

Portfolio turnover rate........................       12.17%           20.80%

*  Commencement of operations.
+  Annualized.
++ Not Annualized.
#  Unaudited.

See accompanying Notes to Financial Statements.

                                       10
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
--------------------------------------------------------------------------------

NOTE 1 - ORGANIZATION

     The National Asset  Management Core Equity Fund (the "Fund") is a series of
shares of beneficial  interest of Advisors Series Trust (the "Trust"),  which is
registered under the Investment  Company Act of 1940 as a diversified,  open-end
management  investment  company.  The Fund began operations on June 2, 1999. The
investment  objective  of the Fund is to seek capital  appreciation  and current
income.

NOTE 2 - SIGNIFICANT ACCOUNTING POLICIES

     The following is a summary of significant  accounting policies consistently
followed by the Fund.  These policies are in conformity with generally  accepted
accounting principles.

     A.   SECURITY VALUATION:  The Fund's investments are carried at fair value.
          Securities that are primarily traded on a national securities exchange
          shall be valued at the last sale price on the  exchange  on which they
          are primarily  traded on the day of valuation or, if there has been no
          sale on such  day,  at the  mean  between  the bid and  asked  prices.
          Securities  primarily  traded in the NASDAQ National Market System for
          which market  quotations are readily  available shall be valued at the
          last sale price on the day of valuation,  or if there has been no sale
          on  such  day,  at  the  mean  between  the  bid  and  asked   prices.
          Over-the-counter ("OTC") securities which are not traded in the NASDAQ
          National Market System shall be valued at the most recent trade price.
          Securities for which market quotations are not readily  available,  if
          any,  are  valued  following  procedures  approved  by  the  Board  of
          Trustees.  Short-term  investments are valued at amortized cost, which
          approximates market value.

     B.   FEDERAL  INCOME  TAXES:  It is the  Fund's  policy to comply  with the
          requirements  of the  Internal  Revenue Code  applicable  to regulated
          investment  companies  and  to  distribute  substantially  all  of its
          taxable income to its shareholders.  Therefore,  no federal income tax
          provision is required.

     C.   SECURITY   TRANSACTIONS,   DIVIDENDS   AND   DISTRIBUTIONS:   Security
          transactions are accounted for on the trade date.  Dividend income and
          distributions to shareholders, which are determined in accordance with
          income tax regulations, are recorded on the ex-dividend date. Realized
          gains and losses on  securities  sold are  determined  on the basis of
          identified cost.

                                       11
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


NOTES TO FINANCIAL STATEMENTS, CONT.
--------------------------------------------------------------------------------

     D.   USE  OF  ESTIMATES:   The  preparation  of  financial   statements  in
          conformity  with generally  accepted  accounting  principles  requires
          management to make estimates and assumptions  that affect the reported
          amounts  of  assets  and  liabilities  at the  date  of the  financial
          statements and the reported  amounts of increases and decreases in net
          assets during the reporting  period.  Actual results could differ from
          those estimates.

NOTE 3 - INVESTMENT ADVISORY FEE AND OTHER TRANSACTIONS WITH AFFILIATES

     For the six months  ended  October  31,  2000,  National  Asset  Management
Corporation  (the  "Advisor")  provided  the  Fund  with  investment  management
services  under an  Investment  Advisory  Agreement.  The Advisor  furnished all
investment advice, office space, facilities,  and provides most of the personnel
needed by the Fund. As compensation for its services, the Advisor is entitled to
a monthly  fee at the  annual  rate of 0.50%  based upon the  average  daily net
assets of the Fund. For the six months ended October 31, 2000, the Fund incurred
$28,944 in Advisory Fees.

     The Fund is  responsible  for its own operating  expenses.  The Advisor has
agreed  to  reduce  fees  payable  to it by the Fund  and to pay Fund  operating
expenses to the extent  necessary to limit the Fund's aggregate annual operating
expenses to 0.95% of average net assets (the "expense cap"). Any such reductions
made by the  Advisor  in its fees or payment  of  expenses  which are the Fund's
obligation  are  subject  to  reimbursement  by the Fund to the  Advisor,  if so
requested by the Advisor,  in subsequent  fiscal years if the  aggregate  amount
actually  paid by the Fund toward the  operating  expenses  for such fiscal year
(taking  into  account  the  reimbursement)   does  not  exceed  the  applicable
limitation on Fund expenses.  The Advisor is permitted to be reimbursed only for
fee reductions and expense payments made in the previous three fiscal years, but
is  permitted to look back five years and four years,  respectively,  during the
initial  six  years  and  seventh  year  of  the  Fund's  operations.  Any  such
reimbursement  is also  contingent upon Board of Trustees review and approval at
the time the reimbursement is made. Such  reimbursement may not be paid prior to
the Fund's payment of current ordinary  operating  expenses.  For the six months
ended October 31, 2000, the Advisor  reduced its fees and absorbed Fund expenses
in the amount of $28,391; no amounts were reimbursed to the Advisor.

     Investment Company Administration, L.L.C. (the "Administrator") acts as the
Fund's  Administrator  under  an  Administration  Agreement.  The  Administrator
prepares various federal and state regulatory  filings,  reports and returns for
the Fund;  prepares  reports  and  materials  to be  supplied  to the  Trustees;

                                       12
<PAGE>
                   NATIONAL ASSET MANAGEMENT CORE EQUITY FUND


NOTES TO FINANCIAL STATEMENTS, CONT.
--------------------------------------------------------------------------------

monitors the activities of the Fund's custodian, transfer agent and accountants;
coordinates  the  preparation and payment of the Fund's expenses and reviews the
Fund's expense accruals.  For its services, the Administrator receives a monthly
fee at the following annual rate:

Fund asset level                             Fee rate
----------------                             --------
Less than $15 million                        $30,000
$15 million to less than $50 million         0.20% of average daily net assets
$50 million to less than $100 million        0.15% of average daily net assets
$100 million to less than $150 million       0.10% of average daily net assets
More than $150 million                       0.05% of average daily net assets

     First  Fund  Distributors,  Inc.  (the  "Distributor")  acts as the  Fund's
principal  underwriter in a continuous public offering of the Fund's shares. The
Distributor is an affiliate of the Administrator.

     Certain  officers of the Fund are also  officers  and/or  directors  of the
Administrator and the Distributor.

NOTE 4 - PURCHASES AND SALES OF SECURITIES

     For the six months ended  October 31, 2000,  the cost of purchases  and the
proceeds  from  sales  of  securities,  excluding  short-term  securities,  were
$3,372,990 and $1,387,308, respectively.

                                       13
<PAGE>
                                     ADVISOR
                      National Asset Management Corporation
                 Aegon Center, 400 West Market Street, Ste. 2500
                              Louisville, KY 40202

                                   DISTRIBUTOR
                          First Fund Distributors, Inc.
                        4455 E. Camelback Rd., Ste. 261E
                                Phoenix, AZ 85018

                                    CUSTODIAN
                               Firstar Bank, N.A.
                                425 Walnut Street
                              Cincinnati, OH 45202

                                 TRANSFER AGENT
                          American Data Services, Inc.
                                  P.O. Box 5536
                            Hauppauge, NY 11788-0132
                                 (800) 385-7003

                                  LEGAL COUNSEL
                      Paul, Hastings, Janofsky & Walker LLP
                        345 California Street, 29th Floor
                             San Francisco, CA 94104


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