AMERICAN STRATEGIC INCOME PORTFOLIO INC III
N-30D, 1998-07-30
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<PAGE>

                                                           1998 ANNUAL REPORT

PIPER CAPITAL 
MANAGEMENT

American Strategic Income Portfolio III - 1998 Annual Report

[LOGO]
AMERICAN STRATEGIC
INCOME PORTFOLIO III


CSP


<PAGE>

CONTENTS 

Portfolio Manager's Letter . . . . . . . . . . . . . . . . . . . . . . . . .  1

Financial Statements and Notes . . . . . . . . . . . . . . . . . . . . . . .  4

Investments in Securities. . . . . . . . . . . . . . . . . . . . . . . . . . 14

Independent Auditors' Report . . . . . . . . . . . . . . . . . . . . . . . . 17

Federal Income Tax Information . . . . . . . . . . . . . . . . . . . . . . . 18

Shareholder Update . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

Glossary***. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24


*** This report includes a glossary to help you understand financial terms used
in the report. When you see this symbol, it indicates a word that is defined in
the glossary.


AMERICAN STRATEGIC INCOME PORTFOLIO III
- ---------------------------------------

PRIMARY INVESTMENTS
Mortgage-related assets that directly or indirectly represent a participation in
or are secured by and payable from mortgage loans. It may also invest in
asset-backed securities, U.S. government securities, corporate debt securities,
municipal obligations, unregistered securities, mortgage-backed securities and
mortgage servicing rights. The fund may borrow, including through the use of
reverse repurchase agreements***. Use of certain of these investments and
investment techniques may cause the fund's net asset value*** to fluctuate to a
greater extent than would be expected from interest rate movements alone.

FUND OBJECTIVE
High level of current income. Its secondary objective is to seek capital
appreciation. As with other investment companies, there can be no assurance this
fund will achieve its objective.


AVERAGE ANNUALIZED TOTAL RETURNS
- --------------------------------------------------------------------------------
Based on net asset value for the periods ended May 31, 1998

[GRAPH]

<TABLE>
<CAPTION>
                                           ONE YEAR   FIVE YEAR  SINCE INCEPTION
                                                                    3/25/93
- --------------------------------------------------------------------------------
<S>                                        <C>        <C>        <C>
AMERICAN STRATEGIC INCOME PORTFOLIO III     11.86%      6.97%        6.89%
Lehman Brothers Mutual Fund Gov't/Mortgage  10.65%      6.92%        6.85%
  Index
</TABLE>

The average annualized total returns for American Strategic Income Portfolio III
are based on the change in its net asset value (NAV), assume all distributions
were reinvested and do not reflect sales charges. NAV-based performance is used
to measure investment management results. 

Average annualized total returns based on the change in market price for the
one-year, five-year and since inception periods ended May 31, 1998, were 12.05%,
4.01% and 4.51%, respectively. These returns assume reinvestment of all
distributions and reflect sales charges on distributions as described in the
fund's dividend reinvestment plan, but not on initial purchases. 

PLEASE REMEMBER, YOU COULD LOSE MONEY WITH THIS INVESTMENT. NEITHER SAFETY OF
PRINCIPAL NOR STABILITY OF INCOME IS GUARANTEED. Past performance does not
guarantee future results. The investment return and principal value of an
investment will fluctuate so that fund shares, when sold, may be worth more or
less than their original cost. Closed-end funds, such as this fund, often trade
at discounts*** to net asset value. Therefore, you may be unable to realize the
full net asset value of your shares when you sell. 

The Lehman Brothers Mutual Fund Government/Mortgage Index*** is comprised of all
U.S. government agency and Treasury securities and agency mortgage-backed
securities. Developed by Lehman Brothers for comparative use by the mutual fund
industry, this index is unmanaged and does not include any fees or expenses in
its total return calculations. 

The since inception number for the Lehman index is calculated from the month end
following the fund's inception through May 31, 1998. 

The fund uses the Lehman Brothers Mutual Fund Government/Mortgage Index as a
benchmark. Although we believe this is the most appropriate benchmark available,
it is not a perfect match. The benchmark index is comprised of U.S. government
securities while American Strategic Income Portfolio III is comprised primarily
of non-securitized, illiquid whole loans. This limits the ability of the fund to
respond quickly to market changes.


<PAGE>

PORTFOLIO MANAGER'S LETTER
- --------------------------------------------------------------------------------

[PHOTO]
JOHN WENKER
is primarily responsible for the management of American Strategic Income
Portfolio III. He has 12 years of financial experience. 

July 19, 1998
- --------------------------------------------------------------------------------


DEAR SHAREHOLDERS:

FOR THE 12-MONTH PERIOD ENDED MAY 31, 1998, AMERICAN STRATEGIC INCOME PORTFOLIO
III HAD A NET ASSET VALUE (NAV) TOTAL RETURN OF 11.86%.* This compares to a
10.65% return for the Lehman Brothers Mutual Fund Government/Mortgage Index.
Over the same period, the fund's total return based on its market price was
12.05%. The fund continued to trade at a discount*** to its net asset value, 
with a market price of $11.38 and a net asset value of $12.46 as of May 31. 

WE ARE PLEASED TO REPORT THAT THE FUND MAINTAINED ITS MONTHLY DIVIDEND AT 8.25
CENTS PER SHARE OVER THE REPORTING PERIOD. As you know, providing a high level
of income is a primary objective of the fund. Despite a generally declining
interest rate environment, the fund not only provided competitive and attractive
income, but was able to add to its dividend reserve as well. The fund has held
the dividend steady for the past 24 months. In addition, the fund paid a special
dividend of 6 cents per share. 

THE MAJORITY OF THE FUND'S POSITIVE NAV PERFORMANCE IS ATTRIBUTABLE TO FALLING
TREASURY YIELDS. Intermediate-term interest rates declined over the reporting
period as inflation remained under control. During the 12 months ended May 31,
the yield on three- to five-year Treasury securities fell by about 0.90%.
Federal Reserve policymakers kept short-term interest rates steady despite
vigorous growth within the U.S. economy. 

WE REMAIN CONCERNED ABOUT PREPAYMENTS***, ESPECIALLY IN LIGHT OF THE DECLINING
INTEREST RATE ENVIRONMENT IN WHICH THE FUND CURRENTLY OPERATES.  Prepayments are
occurring, and over time will impact the fund's income and dividend levels. Our
first alternative for prepayments is to reinvest in additional mortgage
products. However, in the absence of attractive investment alternatives, dollars
received through prepayments will be used to pay down the fund's leverage
position. 


* All returns assume reinvestment of distributions and do not reflect sales
charges, except the fund's total return based on market price, which does
reflect sales charges on distributions as described in the fund's dividend
reinvestment plan, but not on initial purchases. Past performance does not
guarantee future results. The investment return and principal value of an
investment will fluctuate so that fund shares, when sold, may be worth more or
less than their original cost.

- --------------------------------------------------------------------------------
PORTFOLIO COMPOSITION
- --------------------------------------------------------------------------------
As a percentage of total assets on May 31, 1998

[CHART]

<TABLE>
<S>                           <C>
Commercial Loans              17%
Multifamily Loans             29%
U.S. Treasury Securities      20%
Single Family Loans           32%
Short-Term Securities          1%
Other Assets                   1%
</TABLE>

DELINQUENT LOAN PROFILE  

The chart below shows the percentage of single family loans** in the portfolio
that are 30, 60, 90 or 120 days delinquent as of May 31, 1998, based on
principal amounts outstanding.

<TABLE>
<S>                 <C>
Current             89.3%
30 Days              5.7%
60 Days              1.5%
90 Days              0.6%
120+ Days            2.9%
</TABLE>

** As of May 31, 1998, there were no multifamily or commercial loans delinquent.

*** - This symbol represents a graduation cap, used throughout this report to
indicate terms defined in the glossary.
- --------------------------------------------------------------------------------


           1  1998 Annual Report - American Strategic Income Portfolio III

<PAGE>


PORTFOLIO MANAGER'S LETTER  (CONTINUED)
- --------------------------------------------------------------------------------

[PHOTO]
DAVID STEELE
assists with the management of American Strategic Income Portfolio III. He has
19 years of financial experience. 
- --------------------------------------------------------------------------------


WE ARE PLEASED WITH THE RESULTS OF OUR ASSET ALLOCATION STRATEGY. The fund has
maintained a diversified mix between single family, multifamily and commercial
loans, and we anticipate this strategy will continue. As of May 31, the fund
held approximately 2,080 single family loans on properties with an average
remaining principal balance of approximately $60,500. On the same date, the fund
had 37 multifamily loans with an average principal balance of approximately
$3,040,000 and 24 commercial loans with an average principal balance of
approximately $2,650,000. 

ALTHOUGH CREDIT RISK IS INHERENT IN A FUND OF THIS NATURE, WE HAVE BEEN ABLE TO
MINIMIZE THE IMPACT OF SUCH RISK THROUGH EXTENSIVE RESEARCH. As of May 31, 89.2%
of the fund's single family loans were current, and only 3% of such mortgages
were 120 days or more overdue. As of the same date, none of the fund's
multifamily or commercial mortgages were delinquent. The chart on the previous
page displays delinquency rates. During the reporting period, principal credit
losses on mortgage loans amounted to 2.50 cents per share. Since the fund's
inception, we have kept its principal losses due to foreclosure on single family
and multi-family loans to 5.9 cents per share and .06 cents per share,
respectively. To date, we have experienced no foreclosure losses on commercial
loans. When loans are foreclosed, we attempt to complete the process as quickly
as possible. Any losses will first go against the borrower's investment, or
equity. Although we would hope to receive all of the principal and interest owed
to us on a foreclosed loan, it is likely that we may not be repaid in full. 

THE FUND CONTINUES TO BORROW THROUGH REVERSE REPURCHASE AGREEMENTS AND INVEST
THE PROCEEDS IN TREASURY SECURITIES AND NEW MORTGAGE LOANS. The Treasuries and
mortgage loans act as collateral for the reverse repurchase agreements. As of
May 31, the amount of reverse repurchase agreements was equal to 25% of total
assets. Please note that borrowing can potentially increase the fund's earnings,
but it can also increase the volatility of the fund's net asset value. We
attempt to moderate this potential volatility by purchasing short- to
medium-term Treasuries. 


- --------------------------------------------------------------------------------
GEOGRAPHICAL DISTRIBUTION 
- --------------------------------------------------------------------------------

We attempt to buy mortgage loans in many parts of the country to help avoid the
risks of concentrating in one area. These percentages reflect principal value of
whole loans and real estate owned as of May 31, 1998. Shaded areas without
values indicate states in which the fund has invested less than 0.50% of its
assets. 

[MAP]

<TABLE>
<S>                <C>
Arizona             7%
California         14%
Colorado            5%
Connecticut         2%
Florida             6%
Georgia             1%
Illinois            1%
Louisiana           1%
Maryland            1%
Massachussetts      1%
Minnesota           7%
Nevada              5%
New Jersey          3%
New Mexico          1%
New York            6%
North Carolina      1%
North Dakota        1%
Ohio                1%
Oklahoma            6%
Oregon              6%
Pennsylvania        1%
Tennessee           2%
Texas              14%
Utah                3%
Washington          3%
</TABLE>
- --------------------------------------------------------------------------------


           2  1998 Annual Report - American Strategic Income Portfolio III

<PAGE>

PORTFOLIO MANAGER'S LETTER  (CONTINUED)
- --------------------------------------------------------------------------------

[PHOTO]
RUSS KAPPENMAN
assists with the management of American Strategic Income Portfolio III. He has
12 years of financial experience. 
- --------------------------------------------------------------------------------


THANK YOU FOR YOUR INVESTMENT IN AMERICAN STRATEGIC INCOME PORTFOLIO III. During
the last few years the multifamily and commercial loans in the portfolio have
performed well and been positively impacted  by positive trends in the real
estate industry. Most analysts would agree that real estate markets have
returned to equilibrium. The big question facing the real estate industry is
whether it will maintain the discipline required to stay in equilibrium or
revisit the excesses of the late 1980s and early 1990s. Certainly the criteria
we use for purchasing loans remain intact and hopefully will hold up should
industry trends turn negative. However, we would like to remind you that the
fund is exposed to the ups and downs of real estate cycles. To the extent the
real estate markets deteriorate, credit risk and the potential for credit
losses, will increase. 

We believe that the fund's strategy will continue to provide attractive returns
relative to other fixed-income investments, and we appreciate the opportunity to
serve your investment needs. 


Sincerely,

/s/ John Wenker
John Wenker

Portfolio Manager




- --------------------------------------------------------------------------------
VALUATION OF WHOLE LOAN INVESTMENTS
- --------------------------------------------------------------------------------
The fund's investments in whole loans (single family, multifamily and
commercial), participation mortgages and mortgage servicing rights are generally
not traded in any organized market and therefore, market quotations are not
readily available.  These investments are valued at "fair value" according to
procedures adopted by the fund's board of directors.  Pursuant to these
procedures, whole loan investments are initially valued at cost and their values
are subsequently monitored and adjusted pursuant to a Piper Capital pricing
model designed to incorporate, among other things, the present value of the
projected stream of cash flows on such investments.  The pricing model takes
into account a number of relevant factors including the projected rate of
prepayments, the delinquency profile, the historical payment record, the
expected yield at purchase, changes in prevailing interest rates and changes in
the real or perceived liquidity of whole loans, participation mortgages or
mortgage servicing rights, as the case may be.  Changes in prevailing interest
rates, real or perceived liquidity, yield spreads and creditworthiness are
factored into the pricing model each week.  Certain mortgage loan information is
received on a monthly basis and includes, but is not limited to, the projected
rate of prepayments, projected rate and severity of defaults, the delinquency
profile and the historical payment record.  Valuations of mortgage
participations and mortgage servicing rights are determined no less frequently
than weekly.

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


           3  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
            Financial Statements
 
- --------------------------------------------------------------------------------
                      STATEMENT OF ASSETS AND LIABILITIES  May 31, 1998
 ................................................................................
 
<TABLE>
<S>                                                           <C>
ASSETS:
Investments in securities at market value* (note 2)
  (including a repurchase agreement of $5,253,000)  ........     $395,059,245
Real estate owned (identified cost: $488,886) (note 2)  ....          409,726
Cash in bank on demand deposit  ............................          191,432
Accrued interest receivable  ...............................        3,875,434
Other assets  ..............................................           80,778
                                                              ------------------
  Total assets  ............................................      399,616,615
                                                              ------------------
 
LIABILITIES:
Reverse repurchase agreements payable  .....................       99,000,000
Accrued investment management fee  .........................          156,535
Accrued administrative fee  ................................           50,722
Accrued interest  ..........................................          494,944
Other accrued expenses  ....................................            1,007
                                                              ------------------
  Total liabilities  .......................................       99,703,208
                                                              ------------------
  Net assets applicable to outstanding capital stock  ......     $299,913,407
                                                              ------------------
                                                              ------------------
 
COMPOSITION OF NET ASSETS:
Capital stock and additional paid-in capital  ..............     $344,862,882
Undistributed net investment income  .......................        2,208,110
Accumulated net realized loss on investments  ..............      (56,513,172)
Unrealized appreciation of investments  ....................        9,355,587
                                                              ------------------
 
  Total - representing net assets applicable to capital
    stock  .................................................     $299,913,407
                                                              ------------------
                                                              ------------------
 
* Investments in securities at identified cost  ............     $385,624,498
                                                              ------------------
                                                              ------------------
 
NET ASSET VALUE AND MARKET PRICE:
Net assets  ................................................     $299,913,407
Shares outstanding (authorized 1 billion shares of $0.01 par
  value)  ..................................................       24,068,468
Net asset value  ...........................................     $      12.46
Market price  ..............................................     $      11.38
</TABLE>
 
                      SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- --------------------------------------------------------------------------------
 
        4  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                     Financial Statements  (continued)
- --------------------------------------------------------------------------------
 
                      STATEMENT OF OPERATIONS  For the Year Ended May 31, 1998
 ................................................................................
 
<TABLE>
<S>                                                           <C>
INCOME:
Interest (net of interest expense of $6,435,914)  ..........     $30,135,304
Rental income from real estate owned (note 2)  .............         110,395
                                                              -----------------
 
  Total investment income  .................................      30,245,699
                                                              -----------------
 
EXPENSES (NOTE 3):
Investment management fee  .................................       1,974,380
Administrative fee  ........................................         627,739
Custodian and accounting fees  .............................         176,399
Transfer agent fees  .......................................          22,262
Reports to shareholders  ...................................         124,022
Mortgage servicing fees  ...................................       1,160,331
Directors' fees  ...........................................          25,646
Audit and legal fees  ......................................         102,698
Operating expenses from real estate owned  .................         161,216
Other expenses  ............................................          81,552
                                                              -----------------
  Total expenses  ..........................................       4,456,245
    Less expenses paid indirectly  .........................          (7,561)
                                                              -----------------
 
  Total net expenses  ......................................       4,448,684
                                                              -----------------
 
  Net investment income  ...................................      25,797,015
                                                              -----------------
 
NET REALIZED AND UNREALIZED GAINS (LOSSES) ON INVESTMENTS
 (NOTE 4):
Net realized gain on investments in securities  ............       2,493,304
Net realized loss on real estate owned  ....................        (607,296)
                                                              -----------------
 
  Net realized gain on investments  ........................       1,886,008
Net change in unrealized appreciation or depreciation of
  investments  .............................................       7,937,243
                                                              -----------------
 
  Net gain on investments  .................................       9,823,251
                                                              -----------------
 
    Net increase in net assets resulting from operations
      ......................................................     $35,620,266
                                                              -----------------
                                                              -----------------
</TABLE>
 
                      SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- --------------------------------------------------------------------------------
 
        5  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                     Financial Statements  (continued)
- --------------------------------------------------------------------------------
 
                      STATEMENT OF CASH FLOWS  For the Year Ended May 31, 1998
 ................................................................................
 
<TABLE>
<S>                                                           <C>
CASH FLOWS FROM OPERATING ACTIVITIES:
Interest and rental income  ................................     $  30,245,699
Net expenses  ..............................................        (4,448,684)
                                                              -------------------
  Net investment income  ...................................        25,797,015
                                                              -------------------
 
Adjustments to reconcile net investment income to net cash
  provided by operating activities:
  Change in accrued interest receivable  ...................           998,097
  Net amortization of bond discount and premium  ...........            24,017
  Change in accrued fees and expenses  .....................           (29,794)
  Change in other assets  ..................................           192,267
                                                              -------------------
    Total adjustments  .....................................         1,184,587
                                                              -------------------
 
    Net cash provided by operating activities  .............        26,981,602
                                                              -------------------
 
CASH FLOWS FROM INVESTING ACTIVITIES:
Proceeds from sales of investments  ........................       253,993,159
Purchases of investments  ..................................      (240,419,939)
Net sales of short-term securities  ........................         3,065,000
                                                              -------------------
 
    Net cash provided by investing activities  .............        16,638,220
                                                              -------------------
 
CASH FLOWS FROM FINANCING ACTIVITIES:
Net proceeds from reverse repurchase agreements  ...........        15,500,000
Retirement of fund shares  .................................       (33,292,271)
Distributions paid to shareholders  ........................       (26,595,561)
                                                              -------------------
 
    Net cash used by financing activities  .................       (44,387,832)
                                                              -------------------
Net decrease in cash  ......................................          (768,010)
Cash at beginning of year  .................................           959,442
                                                              -------------------
 
    Cash at end of year  ...................................     $     191,432
                                                              -------------------
                                                              -------------------
 
Supplemental disclosure of cash flow information:
  Cash paid for interest on reverse repurchase agreements
     .......................................................     $   6,351,892
                                                              -------------------
                                                              -------------------
</TABLE>
 
                      SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- --------------------------------------------------------------------------------
 
        6  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                     Financial Statements  (continued)
- --------------------------------------------------------------------------------
 
                      STATEMENTS OF CHANGES IN NET ASSETS
 ................................................................................
 
<TABLE>
<CAPTION>
                                                                  YEAR ENDED           YEAR ENDED
                                                                   5/31/98              5/31/97
                                                              ------------------   ------------------
<S>                                                           <C>                  <C>
OPERATIONS:
Net investment income  .....................................     $ 25,797,015         $ 26,680,519
Net realized gain (loss) on investments  ...................        1,886,008             (989,331)
Net change in unrealized appreciation or depreciation of
  investments  .............................................        7,937,243           (2,268,134)
                                                              ------------------   ------------------
 
  Net increase in net assets resulting from operations  ....       35,620,266           23,423,054
                                                              ------------------   ------------------
 
DISTRIBUTIONS TO SHAREHOLDERS:
From net investment income  ................................      (26,595,561)         (26,842,831)
                                                              ------------------   ------------------
 
CAPITAL SHARE TRANSACTIONS (NOTE 6):
Decrease in net assets from capital share transactions  ....      (33,292,271)                  --
                                                              ------------------   ------------------
  Total decrease in net assets  ............................      (24,267,566)          (3,419,777)
 
Net assets at beginning of year  ...........................      324,180,973          327,600,750
                                                              ------------------   ------------------
 
Net assets at end of year  .................................     $299,913,407         $324,180,973
                                                              ------------------   ------------------
                                                              ------------------   ------------------
 
Undistributed net investment income  .......................     $  2,208,110         $  3,006,656
                                                              ------------------   ------------------
                                                              ------------------   ------------------
</TABLE>
 
                      SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- --------------------------------------------------------------------------------
 
        7  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
             Notes to Financial Statements
- --------------------------------------------------------------------------------
 
(1) ORGANIZATION
 ................................
                      American Strategic Income Portfolio Inc. III (the fund) is
                      registered under the Investment Company Act of 1940 (as
                      amended) as a diversified, closed-end management
                      investment company. The fund emphasizes investments in
                      mortgage-related assets that directly or indirectly
                      represent a participation in or are secured by and payable
                      from mortgage loans. It may also invest in asset-backed
                      securities, U.S. government securities, corporate debt
                      securities, municipal obligations, unregistered securities
                      and mortgage servicing rights. The fund may enter into
                      dollar roll transactions. In addition, the fund may borrow
                      through the use of reverse repurchase agreements. Fund
                      shares are listed on the New York Stock Exchange under the
                      symbol CSP.
 
(2) SUMMARY OF
    SIGNIFICANT
    ACCOUNTING
    POLICIES
 ................................
                      INVESTMENTS IN SECURITIES
                      Portfolio securities for which market quotations are
                      readily available are valued at current market value. If
                      market quotations or valuations are not readily available,
                      or if such quotations or valuations are believed to be
                      inaccurate, unreliable or not reflective of market value,
                      portfolio securities are valued according to procedures
                      adopted by the fund's board of directors in good faith at
                      "fair value", that is, a price that the fund might
                      reasonably expect to receive for the security or other
                      asset upon its current sale.
 
                      The current market value of certain fixed income
                      securities is provided by an independent pricing service.
                      Fixed income securities for which prices are not available
                      from an independent pricing service but where an active
                      market exists are valued using market quotations obtained
                      from one or more dealers that make markets in the
                      securities or from a widely-used quotation system.
                      Short-term securities with maturities of 60 days or less
                      are valued at amortized cost, which approximates market
                      value.
 
                      The fund's investments in whole loans (single family,
                      multifamily and commercial), participation mortgages and
                      mortgage servicing rights are generally not traded in any
                      organized market and therefore, market quotations are not
                      readily available. These investments are valued at "fair
                      value" according to procedures adopted by the fund's board
                      of directors. Pursuant to these procedures, whole loan
                      investments are initially valued at cost and their values
                      are subsequently monitored and adjusted pursuant to a
                      Piper Capital pricing model designed to incorporate, among
                      other things, the present value of the projected stream of
                      cash flows on such investments. The pricing model takes
                      into account a number of relevant factors including the
                      projected rate of prepayments, the delinquency profile,
                      the historical payment record, the expected yield at
                      purchase, changes in prevailing interest rates, and
                      changes in the real or perceived liquidity of whole loans,
                      participation mortgages or mortgage servicing rights, as
                      the case may be. Changes in prevailing interest rates,
                      real or perceived liquidity, yield spreads, and
                      creditworthiness are factored into the pricing model each
                      week. Certain mortgage loan information is received once a
                      month. This information includes, but is not limited to,
                      the projected rate of prepayments, projected rate and
                      severity of defaults, the delinquency profile and the
                      historical payment record. Valuations of whole loans,
                      mortgage participations and mortgage servicing rights are
                      determined no less frequently than weekly.
 
                      Securities transactions are accounted for on the date
                      securities are purchased or sold. Realized gains and
                      losses are calculated on the identified-cost basis.
                      Interest income, including amortization of bond discount
                      and premium, is recorded on an accrual basis.
 
- --------------------------------------------------------------------------------
 
        8  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                      Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
 
                      WHOLE LOANS AND PARTICIPATION MORTGAGES
                      Whole loans and participation mortgages may bear a greater
                      risk of loss arising from a default on the part of the
                      borrower of the underlying loans than do traditional
                      mortgage-backed securities. This is because whole loans
                      and participation mortgages, unlike most mortgage-backed
                      securities, generally are not backed by any government
                      guarantee or private credit enhancement. Such risk may be
                      greater during a period of declining or stagnant real
                      estate values. In addition, the individual loans
                      underlying whole loans and participation mortgages may be
                      larger than the loans underlying mortgage-backed
                      securities. With respect to participation mortgages, the
                      fund generally will not be able to unilaterally enforce
                      its rights in the event of a default, but rather will be
                      dependent on the cooperation of the other participation
                      holders.
 
                      At May 31, 1998, loans representing 2.2% of net assets
                      were 60 days or more delinquent as to the timely monthly
                      payment of principal. Such delinquencies relate solely to
                      single family whole loans and represent 5.0% of total
                      single family principal outstanding at May 31, 1998. The
                      fund does not record past due interest as income until
                      received. The fund may incur certain costs and delays in
                      the event of a foreclosure. Also, there is no assurance
                      that the subsequent sale of the property will produce an
                      amount equal to the sum of the unpaid principal balance of
                      the loan as of the date the borrower went into default,
                      the accrued unpaid interest and all of the foreclosure
                      expenses. In this case, the fund may suffer a loss. The
                      fund recognized net realized losses of $607,296 or $0.025
                      per share on real estate sold during the year ended May
                      31, 1998, including a loss of $149,815 or $0.006 per
                      share, on one multifamily property.
 
                      Real estate acquired through foreclosure, if any, is
                      recorded at estimated fair value. The fund may receive
                      rental or other income as a result of holding real estate.
                      In addition, the fund may incur expenses associated with
                      maintaining any real estate owned. On May 31, 1998, the
                      fund owned 10 single family homes with an aggregate value
                      of $409,726, or 0.1% of net assets.
 
                      SECURITIES PURCHASED ON A WHEN-ISSUED BASIS
                      Delivery and payment for securities that have been
                      purchased by the fund on a when-issued or
                      forward-commitment basis can take place a month or more
                      after the transaction date. During this period, such
                      securities do not earn interest, are subject to market
                      fluctuation and may increase or decrease in value prior to
                      their delivery. The fund segregates, with its custodian,
                      assets with a market value equal to the amount of its
                      purchase commitments. The purchase of securities on a
                      when-issued or forward-commitment basis may increase the
                      volatility of the fund's net asset value if the fund makes
                      such purchases while remaining substantially fully
                      invested. As of May 31, 1998, the fund had no outstanding
                      when-issued or forward-commitments.
 
                      In connection with its ability to purchase securities on a
                      when-issued or forward-commitment basis, the fund may
                      enter into mortgage dollar rolls in which the fund sells
                      securities purchased on a forward commitment basis and
                      simultaneously contract with a counterparty to repurchase
                      similar (same type, coupon and maturity) but not identical
                      securities on a specified future date. As an inducement to
                      "roll over" its purchase commitments, the fund receives
                      negotiated fees. For year ended May 31, 1998, the fund
                      earned no such fees.
 
- --------------------------------------------------------------------------------
 
        9  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                      Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
 
                      FEDERAL TAXES
                      The fund intends to comply with the requirements of the
                      Internal Revenue Code applicable to regulated investment
                      companies and not be subject to federal income tax.
                      Therefore, no income tax provision is required. The fund
                      also intends to distribute its taxable net investment
                      income and realized gains, if any, to avoid the payment of
                      any federal excise taxes.
 
                      The character of distributions made during the year from
                      net investment income or net realized gains may differ
                      from its ultimate characterization for federal income tax
                      purposes. Distributions which exceed net realized gains
                      for financial statement purposes are presented as an
                      "excess distribution" in the financial highlights. In
                      addition, due to the timing of dividend distributions, the
                      fiscal year in which amounts are distributed may differ
                      from the year that the income or realized gains or losses
                      were recorded by the fund.
 
                      DISTRIBUTIONS TO SHAREHOLDERS
                      Distributions from net investment income are made monthly
                      and realized capital gains, if any, will be distributed at
                      least annually. These distributions are recorded as of the
                      close of business on the ex-dividend date. Such
                      distributions are payable in cash or, pursuant to the
                      fund's dividend reinvestment plan, reinvested in
                      additional shares of the fund's capital stock. Under the
                      plan, fund shares will be purchased in the open market
                      unless the market price plus commissions exceeds the net
                      asset value by 5% or more. If, at the close of business on
                      the dividend payment date, the shares purchased in the
                      open market are insufficient to satisfy the dividend
                      reinvestment requirement, the fund will issue new shares
                      at a discount of up to 5% from the current market price.
 
                      REPURCHASE AGREEMENTS
                      For repurchase agreements entered into with certain
                      broker-dealers, the fund, along with other affiliated
                      registered investment companies, may transfer uninvested
                      cash balances into a joint trading account, the daily
                      aggregate of which is invested in repurchase agreements
                      secured by U.S. government or agency obligations.
                      Securities pledged as collateral for all individual and
                      joint repurchase agreements are held by the fund's
                      custodian bank until maturity of the repurchase agreement.
                      Provisions for all agreements ensure that the daily market
                      value of the collateral is in excess of the repurchase
                      amount, including accrued interest, to protect the fund in
                      the event of a default.
 
                      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 in the financial statements. Actual
                      results could differ from these estimates.
 
(3) EXPENSES
 ................................
                      INVESTMENT MANAGEMENT AND ADMINISTRATIVE FEES
                      The fund has entered into an investment advisors agreement
                      with Piper Capital Management Incorporated. In addition,
                      Piper Capital provided services under an administration
                      agreement through April 30, 1998. Effective May 1, 1998,
                      the fund entered into an administration agreement with
                      U.S. Bank, an affiliate of the advisor.
 
                      The investment advisory agreement provides the advisor
                      with a monthly investment management fee in an amount
                      equal to an annualized rate of 0.20% of the fund's average
                      weekly net assets and 4.50%
 
- --------------------------------------------------------------------------------
 
        10  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                      Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
                      of the daily gross income accrued by the fund during the
                      month (i.e., investment income, including amortization of
                      discount and premium, other than gains from the sale of
                      securities or gains from options and futures contracts
                      less interest on money borrowed by the fund). The monthly
                      investment management fee shall not exceed in the
                      aggregate 1/12 of 0.725% of the fund's average weekly net
                      assets during the month (approximately 0.725% on an annual
                      basis). For the year ended May 31, 1998, the effective
                      investment management fee incurred by the fund was 0.63%.
                      For its fee, the advisor provides investment advice and
                      conducts the management and investment activity of the
                      fund.
 
                      The administration agreement provides the administrator
                      with a monthly fee in an amount equal to an annualized
                      rate of 0.20% of the fund's average weekly net assets. For
                      its fee, the administrator will provide regulatory,
                      reporting and record-keeping services for the fund.
 
                      MORTGAGE SERVICING FEES
                      The fund enters into mortgage servicing agreements with
                      mortgage servicers for whole loans and participation
                      mortgages. For a fee, mortgage servicers maintain loan
                      records, such as insurance and taxes and the proper
                      allocation of payments between principal and interest.
 
                      OTHER FEES AND EXPENSES
                      In addition to the investment management, administrative
                      and mortgage servicing fees, the fund is responsible for
                      paying most other operating expenses, including: outside
                      directors' fees and expenses; custodian fees; registration
                      fees; printing and shareholder reports; transfer agent
                      fees and expenses; legal, auditing and accounting
                      services; insurance; interest; real estate owned; fees to
                      outside parties retained to assist in conducting due
                      diligence; taxes and other miscellaneous expenses.
 
                      During the year ended May 31, 1998, the fund paid $33,336
                      for custody services to U.S. Bank, an affiliate of the
                      fund's advisor. Expenses paid indirectly represent a
                      reduction of custodian fees for earnings on miscellaneous
                      cash balances maintained by the fund.
 
(4) INVESTMENT
    SECURITY
    TRANSACTIONS
 ................................
                      Cost of purchases and proceeds from sales of securities,
                      other than temporary investments in short-term securities,
                      for the year ended May 31, 1998, aggregated $240,395,922
                      and $253,993,159, respectively. Included in proceeds from
                      sales are $1,810,765 from sales of real estate owned.
 
(5) CAPITAL LOSS
    CARRYOVER
 ................................
                      For federal income tax purposes, the fund had capital loss
                      carryovers at May 31, 1998, which, if not offset by
                      subsequent capital gains, will expire on the fund's fiscal
                      year-ends as indicated below. It is unlikely the board of
                      directors will authorize a distribution of any net
                      realized capital gains until the available capital loss
                      carryovers have been offset or expire.
 
<TABLE>
<CAPTION>
                                          CAPITAL LOSS
                                            CARRYOVER     EXPIRATION
                                          -------------   ----------
<S>                                       <C>             <C>
                                           $ 19,152,863      2003
                                             34,420,675      2004
                                                871,623      2005
                                              1,167,977      2006
                                                900,034      2007
                                          -------------
                                           $ 56,513,172
                                          -------------
                                          -------------
</TABLE>
 
- --------------------------------------------------------------------------------
 
        11  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                      Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
 
(6) REPURCHASE OFFER
 ................................
                      The fund's board of directors concluded that an offer to
                      repurchase up to 10% of the fund's outstanding shares
                      would be in the best interests of shareholders.
                      Accordingly, the board authorized such an offer as part of
                      a settlement agreement reached in connection with class
                      action litigation involving the fund and seven other
                      closed-end investment companies managed by Piper Capital
                      Management Incorporated.
 
                      The repurchase offer was sent to shareholders in October
                      1997, and the deadline for submitting shares for
                      repurchase was 5 p.m. Central Time on November 17, 1997.
                      The repurchase price was determined on December 1, 1997 at
                      the close of regular trading on the New York Stock
                      Exchange (4 p.m. Eastern Time). The percentage of
                      outstanding shares and the number of shares accepted for
                      tender, the repurchase price per share and proceeds
                      (including tender fees) paid by the fund were as follows:
 
<TABLE>
<CAPTION>
 PERCENTAGE      SHARES      REPURCHASE      PROCEEDS
  TENDERED      TENDERED        PRICE          PAID
 ----------   ------------   -----------   -------------
 <S>          <C>            <C>           <C>
    10%        2,674,078       $12.45       $33,292,271
</TABLE>
 
(7) ADVISOR
    ACQUISITION
 ................................
                      On May 1, 1998, Piper Jaffray Companies Inc., the parent
                      company of the fund's investment advisor, was acquired by
                      U.S. Bancorp.
 
                      U.S. Bancorp is a multi-state bank holding company
                      headquartered in Minneapolis, Minnesota with a geographic
                      service area spanning 17 states. As of March 31, 1998,
                      U.S. Bancorp was the 15th largest U.S. commercial bank
                      holding company, with assets of nearly $70.9 billion. U.S.
                      Bank National Association ("U.S. Bank"), a wholly owned
                      subsidiary of U.S. Bancorp, currently acts as the
                      investment advisor to 32 mutual funds (the "First American
                      Funds"). As of March 31, 1998, U.S. Bank, acting through
                      its First American Asset Management division, managed more
                      than $65.3 billion in assets, including approximately
                      $23.3 billion in assets of the First American Funds.
 
                      Under the Investment Company Act of 1940, as amended,
                      consummation of the acquisition of Piper Jaffray Companies
                      by U.S. Bancorp resulted in the assignment and automatic
                      termination of the fund's investment advisory agreement
                      with Piper Capital Management Incorporated. The fund has
                      entered into a new investment advisory agreement with
                      Piper Capital Management, which shareholders will be asked
                      to approve at the fund's annual meeting in August.
                      Shareholders will also be asked to approve a new
                      investment advisory agreement with U.S. Bank which, if
                      approved, will replace the agreement between the fund and
                      Piper Capital Management.
 
- --------------------------------------------------------------------------------
 
        12  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                      Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
 
(8) FINANCIAL
    HIGHLIGHTS
 ................................
                      Per-share data for a share of capital stock outstanding
                      throughout each period and selected information for each
                      period are as follows:
 
                      AMERICAN STRATEGIC INCOME PORTFOLIO III
 
<TABLE>
<CAPTION>
                                            Year       Year       Year       Year       Year
                                           Ended      Ended      Ended      Ended      Ended
                                          5/31/98    5/31/97    5/31/96    5/31/95    5/31/94
                                          --------   --------   --------   --------   --------
<S>                                       <C>        <C>        <C>        <C>        <C>
PER-SHARE DATA
Net asset value, beginning of period ...   $12.12     $12.25     $12.50     $12.61     $14.04
                                          --------   --------   --------   --------   --------
Operations:
  Net investment income ................     1.02       1.00       0.99       1.18       1.37
  Net realized and unrealized gains
    (losses) on investments ............     0.37      (0.13)        --      (0.01)     (1.52)
                                          --------   --------   --------   --------   --------
    Total from operations ..............     1.39       0.87       0.99       1.17      (0.15)
                                          --------   --------   --------   --------   --------
Distributions to shareholders:
  From net investment income ...........    (1.05)     (1.00)     (1.24)     (1.28)     (1.07)
  In excess of net realized gains on
    investments ........................       --         --         --         --      (0.21)
                                          --------   --------   --------   --------   --------
    Total distributions to
      shareholders .....................    (1.05)     (1.00)     (1.24)     (1.28)     (1.28)
                                          --------   --------   --------   --------   --------
Net asset value, end of period .........   $12.46     $12.12     $12.25     $12.50     $12.61
                                          --------   --------   --------   --------   --------
                                          --------   --------   --------   --------   --------
Per-share market value, end of
  period ...............................   $11.38     $11.13     $10.25     $11.13     $12.75
                                          --------   --------   --------   --------   --------
                                          --------   --------   --------   --------   --------
SELECTED INFORMATION
Total return, net asset value (a) ......    11.86%      7.43%      8.17%     10.03%     (1.78)%
Total return, market value (b) .........    12.05%     19.18%      3.20%     (2.42)%    (9.52)%
Net assets at end of period (in
  millions) ............................   $  300     $  324     $  328     $  338     $  346
Ratio of expenses to average weekly net
  assets including interest expense
  (c) ..................................     3.47%      3.84%      2.66%      3.55%      2.13%
Ratio of expenses to average weekly net
  assets excluding interest expense
  (c) ..................................     1.42%      1.34%      1.29%      1.29%      1.19%
Ratio of net investment income to
  average weekly net assets ............     8.22%      8.22%      7.92%      9.48%      9.57%
Portfolio turnover rate (excluding
  short-term securities) ...............       58%        46%       121%        49%       155%
Amount of borrowings outstanding at end
  of period (in millions)(d) ...........   $   99     $   84     $   81     $   75     $  159
Per-share amount of borrowings
  outstanding at end of period .........   $ 4.11     $ 3.12     $ 3.03     $ 2.77     $ 5.79
Per-share amount of net assets,
  excluding borrowings, at end of
  period ...............................   $16.57     $15.24     $15.28     $15.27     $18.40
Asset coverage ratio (e) ...............      403%       488%       504%       551%       317%
</TABLE>
 
(a)  ASSUMES REINVESTMENT OF DISTRIBUTIONS AT NET ASSET VALUE AND DOES NOT
     REFLECT A SALES CHARGE.
(b)  ASSUMES REINVESTMENT OF DISTRIBUTIONS AT ACTUAL PRICES PURSUANT TO THE
     FUND'S DIVIDEND REINVESTMENT PLAN.
(c)  INCLUDES 0.02%, 0.09%, AND 0.06% FROM FEDERAL EXCISE TAXES IN FISCAL YEARS
     1996, 1995 AND 1994, RESPECTIVELY. FISCAL 1998 AND 1997 RATIOS INCLUDE
     0.05% AND 0.08%, RESPECTIVELY, OF OPERATING EXPENSES ASSOCIATED WITH REAL
     ESTATE OWNED.
(d)  SECURITIES PURCHASED ON A WHEN-ISSUED BASIS FOR WHICH LIQUID ASSETS ARE
     SEGREGATED ARE NOT CONSIDERED BORROWINGS. SEE NOTE 2 IN THE NOTES TO
     FINANCIAL STATEMENTS.
(e)  REPRESENTS NET ASSETS, EXCLUDING BORROWINGS, AT END OF PERIOD DIVIDED BY
     BORROWINGS OUTSTANDING AT END OF PERIOD.
 
- --------------------------------------------------------------------------------
 
        13  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                           Investments in Securities
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 
AMERICAN STRATEGIC INCOME PORTFOLIO III                                                                 May 31, 1998
 ...................................................................................................................
 
                                                             Date
Description of Security                                    Acquired   Par Value           Cost          Market Value
- ---------------------------------------------------------  --------  -----------      ------------      ------------
<S>                                                        <C>       <C>              <C>               <C>
(PERCENTAGES OF EACH INVESTMENT CATEGORY RELATE TO TOTAL NET ASSETS)
 
U.S. GOVERNMENT AND AGENCY SECURITIES (27.1%):
  U.S. GOVERNMENT SECURITIES (27.1%):
    6.63%, U.S. Treasury Note, 3/31/02 ..................  5/12/98   $78,500,000(b)   $ 80,984,344      $ 81,220,025
                                                                                      ------------      ------------
 
PRIVATE MORTGAGE-BACKED SECURITIES (E) (0.0%):
  FIXED RATE (0.0%):
    0.00%, First Gibralter, Series 1992-MM, Class B,
      10/25/21 ..........................................  7/15/93     1,841,206(f)        679,820            18,412
                                                                                      ------------      ------------
 
WHOLE LOANS AND PARTICIPATION MORTGAGES (C,D,E) (102.9%):
  COMMERCIAL LOANS (22.1%):
    7th Street & Lincoln Parking Lot, 8.00%, 4/1/08 .....   3/3/98     1,098,843         1,098,843         1,141,818
    Airport Plaza Offices, 8.88%, 5/1/01 ................   5/1/96       732,134           732,134           758,958
    Blacklake Place I and II, 8.78%, 9/1/07 .............  8/12/97     4,937,162         4,937,162         5,184,021
    Blacklake Place III, 8.78%, 9/1/07 ..................  8/12/97     2,468,581         2,468,581         2,592,010
    Brookhollow West and Northwest Technical Center,
      8.21%, 8/1/02 .....................................  7/29/97     3,665,236         3,665,236         3,758,012
    Commerce Center, 8.88%, 5/1/01 ......................   5/1/96     1,903,550         1,903,550         1,979,692
    CUBB Properties Mobile Home Park, 8.15%, 11/1/07 ....  11/4/97     2,920,001         2,920,001         3,066,001
    Disco Print Warehouse, 8.90%, 2/1/04 ................   2/7/97     1,351,741         1,351,741         1,419,328
    Duncan Office Building, 8.00%, 6/1/08 ...............  5/19/98       750,000           750,000           778,468
    Jackson Street Warehouse, 8.63%, 7/1/07 .............   7/1/97     4,870,117         4,870,117         5,113,622
    John Brown Office Building, 8.90%, 6/1/03 ...........  7/23/97     4,957,956         4,957,956         5,205,854
    Lake Pointe Corporate Center, 8.67%, 7/1/07 .........   7/7/97     3,915,522         3,915,522         4,111,298
    LAX Air Freight Center, 8.00%, 1/1/08 ...............  12/29/97    3,445,301         3,445,301         3,560,092
    Meridian Corporate Center, 8.10%, 8/1/02 ............   8/1/97     2,362,300         2,362,300         2,415,452
    North Austin Business Center, 9.15%, 5/1/07 .........  4/10/97     3,066,247         3,066,247         3,219,559
    One Metro Square Office Building, 8.20%, 10/1/02 ....  9/24/97     2,978,183         2,978,183         3,067,529
    Pacific Shores Mobile Home Park II, 11.12%,
      10/1/06 ...........................................  9/27/96     2,929,491         2,914,843         3,075,965
    Parkside Office Building, 8.30%, 12/1/01 ............  11/19/96    1,693,955         1,677,016         1,738,435
    Paseo Verde Plaza, 8.63%, 5/1/01 ....................  4/12/96     1,804,182         1,804,182         1,828,960
    Pilot Knob Service Center, 9.07%, 7/1/07 ............  6/20/97   $ 1,511,089      $  1,511,089      $  1,586,643
</TABLE>
 
<TABLE>
<CAPTION>
                                                             Date
Description of Security                                    Acquired   Par Value           Cost          Market Value
- ---------------------------------------------------------  --------  -----------      ------------      ------------
<S>                                                        <C>       <C>              <C>               <C>
    PMG Plaza, 9.05%, 4/1/04 ............................  3/20/97     2,568,711         2,568,711         2,697,146
    Santa Monica Center, 8.35%, 11/1/04 .................  11/17/97    3,482,377         3,482,377         3,552,025
    Seventh Street Parking Ramp, 8.63%, 9/1/07             8/25/97     1,990,313         1,990,313         2,089,828
    Turf Mobile Manor, 8.25%, 1/1/06 ....................   2/2/96     2,325,474         2,322,567         2,441,747
                                                                                      ------------      ------------
 
                                                                                        63,693,972        66,382,463
                                                                                      ------------      ------------
  MULTIFAMILY LOANS (38.3%):
    Ambassador House Apartments, 10.13%, 12/1/01 ........  11/3/94     2,349,613         2,347,394         2,443,597
    Boardwalk Apartments, 7.40%, 2/1/08 .................  1/16/98     5,387,659         5,387,659         5,454,580
    Briarwood Apartments, 10.24%, 12/1/01 ...............  11/22/94      979,475           976,047         1,018,654
    Champlin Drive Apartments, 10.00%, 7/15/08 ..........  7/15/93     2,177,754         2,155,977         1,858,299
    Clackamas Trail Apartments, 8.50%, 7/1/01 ...........   7/3/97    14,112,080        14,112,080        14,394,322
    El Camino Apartments, 10.65%, 2/1/02 ................   1/5/95     4,714,393         4,710,955         4,808,681
    El Toro Blanco Apartments, 10.05%, 1/1/02 ...........   1/3/95     1,322,880         1,291,155         1,375,795
    Essex II, 10.00%, 8/1/08 ............................  7/23/93     2,032,571         2,012,245         1,916,875
    Everhard Road Apartments, 9.31%, 9/1/01 .............   8/4/94       479,235           471,035           488,820
    Falls Apartments, 9.88%, 7/1/03 .....................  5/12/93     3,865,860         3,827,202         4,059,153
    Faronia Square Apartments, 10.40%, 1/1/02 ...........  12/30/94    3,530,470         3,495,165         3,671,689
    Geneva Village Apartments, 9.50%, 11/1/04 ...........  10/14/94    1,264,003         1,259,345         1,327,203
    Grand Forks Multifamily, 9.94%, 12/1/01 .............  11/9/94     2,359,585         2,349,122         2,406,776
    Harpers Ferry Apartments, 10.56%, 12/1/01 ...........  12/1/94     1,804,566         1,787,599         1,894,795
    Heritage Park Apartments, 9.00%, 2/1/04 .............  1/31/97     1,922,495         1,922,495         2,018,620
    Huntington Hills Apartments, 8.75%, 11/1/05 .........  10/2/95     1,329,074         1,322,428         1,395,527
    Johanson Arms Apartments, 9.35%, 6/1/04 .............  5/16/96     2,024,274         2,024,274         1,993,311
    Johnson/Wilson Apartments, 10.00%, 9/1/18 ...........  9/17/93       777,102           769,331           784,873
    Kingstown Colony Apartments, 9.98%, 11/1/01 .........  10/31/94    1,759,997         1,737,215         1,830,397
    Lake Conway Woods, 9.55%, 8/1/01 ....................   8/1/94   $ 2,929,942      $  2,924,310      $  2,988,541
</TABLE>
 
SEE ACCOMPANYING NOTES TO INVESTMENTS IN SECURITIES.
 
- --------------------------------------------------------------------------------
 
        14  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                     Investments in Securities (continued)
- --------------------------------------------------------------------------------
 
AMERICAN STRATEGIC INCOME PORTFOLIO III
(CONTINUED)
 
<TABLE>
<CAPTION>
                                                             Date
Description of Security                                    Acquired   Par Value           Cost          Market Value
- ---------------------------------------------------------  --------  -----------      ------------      ------------
<S>                                                        <C>       <C>              <C>               <C>
    Maple Village Apartments, 9.50%, 11/1/04 ............  10/14/94    1,320,864         1,315,922         1,386,907
    Meadowview Apartments, 9.50%, 11/1/04 ...............  10/14/94      937,287           934,263           984,151
    Meridian Pointe Apartments, 8.85%, 2/1/12 ...........   3/7/97     1,190,809         1,190,809         1,250,350
    Mission Village Apartments, 8.94%, 9/1/01 ...........  8/11/94     2,171,912         2,161,052         2,215,350
    Oak Grove Apartments, 10.05%, 12/2/01 ...............  11/15/94      881,716           863,262           925,802
    Palm Court Apartments, 10.00%, 9/1/98 ...............  9/16/93     6,785,053         6,717,202         6,852,903
    Parkway Village Apartments, 9.50%, 11/1/04 ..........  10/14/94      909,734           906,847           955,221
    Quail Lakes Apartments, 8.95%, 11/1/03 ..............  11/1/96     8,904,685         8,901,123         9,349,919
    Regency Manor Apartments, 10.30%, 1/1/00 ............  12/16/94    5,226,238         5,222,803         4,266,245
    Riverbrook Apartments, 10.38%, 1/1/02 ...............  12/29/94    2,029,425         2,006,715         2,110,602
    Rose Park Apartments, 9.50%, 11/1/04 ................  10/14/94      787,298           784,908           826,662
    Royal Court Apartments, 9.00%, 10/1/04 ..............  9/11/97     1,434,457         1,434,457         1,491,835
    Shelter Island Apartments, 10.00%, 10/1/01 ..........  9/20/94    12,704,072        12,584,941        13,339,275
    Southlake Villa Apartments, 9.50%, 11/1/04 ..........  10/14/94    1,214,104         1,209,453         1,274,809
    The Timbers Apartments, 8.31%, 6/1/99 ...............   5/5/94     2,671,254         2,644,542         2,697,967
    Valley Manor Apartments, 8.45%, 11/1/02 .............  10/26/95    3,313,664         3,301,993         3,453,237
    Westree Apartments, 10.00%, 9/1/03 ..................  8/30/93     3,172,797         3,146,357         3,331,437
                                                                                      ------------      ------------
 
                                                                                       112,209,682       114,843,180
                                                                                      ------------      ------------
  SINGLE FAMILY LOANS (42.5%):
    Arbor, 9.27%, 8/16/17 .                                2/16/96     3,754,202         3,762,821         3,754,202
    Barclays, 8.52%, 6/7/25 .............................  11/7/95     1,902,388         1,809,758         1,913,525
    Bayview Financial, 6.72%, 2/21/20 ...................  7/21/95       759,734           650,642           734,056
    Delaware II, 8.73%, 11/27/07 ........................  6/30/96     6,527,385(b)      6,038,780         6,486,146
    Fairbanks IV, 8.03%, 4/3/19 .........................  11/3/94     2,381,116         2,032,935         2,262,772
    Federal Mortgage, 8.37%, 12/15/20 ...................  6/15/93     3,219,725         2,448,186         3,028,293
    First Boston II, 9.51%, 7/31/09 .....................  4/30/93     2,113,904         1,887,157         2,033,323
    First Boston III, 9.08%, 2/1/13 .....................  7/29/93     2,618,060         2,246,378         2,551,708
    First Boston IV, 9.21%, 3/1/12 ......................  12/17/93  $ 2,368,980      $  2,177,700      $  2,353,299
</TABLE>
 
<TABLE>
<CAPTION>
                                                             Date
Description of Security                                    Acquired   Par Value           Cost          Market Value
- ---------------------------------------------------------  --------  -----------      ------------      ------------
<S>                                                        <C>       <C>              <C>               <C>
    First Boston V, 8.36%, 5/26/16 ......................  4/26/95     2,009,162         1,981,536         2,021,759
    Greenwich, 9.19%, 4/16/05 ...........................  2/16/96     1,942,350         1,894,165         1,961,820
    Kidder Peabody I, 9.89%, 9/1/10 .....................  9/30/93     3,053,377(b)      2,733,492         3,076,335
    Kidder Peabody II, 9.85%, 5/1/13 ....................  3/17/94       535,596           504,430           549,497
    Knutson III, 9.28%, 4/1/15 ..........................  3/26/93     1,179,627         1,109,580         1,208,907
    Maryland National, 9.34%, 9/1/19 ....................  10/6/93     1,370,368         1,240,183         1,348,819
    Meridian IV, 8.33%, 8/16/16 .........................  1/20/95     6,416,308         5,971,722         6,347,704
    Meridian V, 8.18%, 10/6/17 ..........................   4/6/95     4,096,299(b)      3,909,605         4,057,886
    Minneapolis Employees Retirement Fund, 8.47%,
      2/10/14 ...........................................  4/10/96     3,929,897(b)      3,646,424         3,832,250
    Mortgage Access, 9.81%, 9/30/19 .....................  6/30/93       716,889           677,003           666,835
    Nomura, 9.94%, 12/16/23 .............................  12/1/93    26,990,930(b)     27,941,990        27,236,132
    Nomura III, 8.49%, 12/29/17 .........................  9/29/95    15,271,518        13,317,402        14,364,337
    Norwest II, 7.73%, 11/27/22 .........................  2/27/96     6,166,880         6,136,474         6,101,920
    Norwest IV, 8.24%, 2/23/25 ..........................  5/23/96     6,073,036         6,036,455         6,092,066
    Norwest VI, 8.30%, 3/6/26 ...........................  12/6/96     5,664,151(b)      5,553,700         5,699,235
    Norwest VII, 7.91%, 7/24/25 .........................  2/24/97     5,945,465(b)      5,781,965         5,940,702
    Norwest X, 7.90%, 1/1/25 ............................  3/12/98     6,912,758         6,930,731         6,843,154
    President Homes 93-6C, Sales Inventory, 9.13%,
      8/1/23 ............................................  12/13/93      108,308           107,225           109,475
    President Homes 93-6E, Sales Inventory, 9.21%,
      11/1/22 ...........................................  5/19/94       168,967           167,275           167,615
    President Homes 94-1B, Sales Inventory, 9.00%,
      11/18/23 ..........................................  10/31/94      186,350           183,706           188,453
    Sears Mortgage, 8.11%, 10/1/17 ......................  7/16/93       553,252           520,057           553,557
    Shearson Lehman, 9.36%, 6/1/17 ......................  5/26/93     3,365,448         2,967,574         3,411,108
    The Crossings, 10.75%, 10/1/11 ......................  4/16/93       432,306           436,629           445,275
                                                                                      ------------      ------------
 
                                                                                       122,803,680       127,342,165
                                                                                      ------------      ------------
 
      Total Whole Loans and Participation Mortgages .....                              298,707,334       308,567,808
                                                                                      ------------      ------------
 
SHORT-TERM SECURITIES (1.7%):
    Repurchase agreement with Goldman Sachs, interest of
      $2,451, 5.60%, 6/1/98 .............................  5/29/98     5,253,000(g)      5,253,000         5,253,000
                                                                                      ------------      ------------
 
      Total Investments in Securities (h) ...............                             $385,624,498      $395,059,245
                                                                                      ------------      ------------
                                                                                      ------------      ------------
</TABLE>
 
- --------------------------------------------------------------------------------
 
        15  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                     Investments in Securities (continued)
- --------------------------------------------------------------------------------
 
NOTES TO INVESTMENTS IN SECURITIES:
(a)  SECURITIES ARE VALUED IN ACCORDANCE WITH PROCEDURES DESCRIBED IN NOTE 2 TO
     THE FINANCIAL STATEMENTS.
(b)  ON MAY 31, 1998, SECURITIES VALUED AT $115,264,397 WERE PLEDGED AS
     COLLATERAL FOR THE FOLLOWING OUTSTANDING REVERSE REPURCHASE AGREEMENTS:
 
<TABLE>
<CAPTION>
                                                               NAME OF BROKER
              ACQUISITION                          ACCRUED     AND DESCRIPTION
   AMOUNT        DATE        RATE*        DUE     INTEREST      OF COLLATERAL
- ------------  -----------  ----------  ---------  ---------  -------------------
<S>           <C>          <C>         <C>        <C>        <C>
$ 76,000,000      5/1/98        5.59%     6/1/98  $ 365,589              (1)
  23,000,000      5/1/98        6.53%     6/1/98    129,355              (2)
- ------------                                      ---------
$ 99,000,000                                      $ 494,944
- ------------                                      ---------
- ------------                                      ---------
</TABLE>
 
*    INTEREST RATE AS OF MAY 31, 1998. RATES ARE BASED ON THE LONDON INTERBANK
     OFFERED RATE (LIBOR).
**   THE FUND HAS ENTERED INTO A LENDING COMMITMENT WITH NOMURA. THE AGREEMENT
     PERMITS THE FUND TO ENTER INTO REVERSE REPURCHASE AGREEMENTS UP TO
     $30,000,000 USING WHOLE LOANS AS COLLATERAL. THE FUND PAYS A FEE OF 0.25%
     TO NOMURA ON ANY UNUSED PORTION OF THE $30,000,000 LENDING COMMITMENT.
NAME OF BROKER AND DESCRIPTION OF COLLATERAL:
         (1) NOMURA;
            U.S. TREASURY NOTE, 6.63%, 3/31/02, $73,350,000 PAR
         (2) NOMURA;
            DELAWARE II, 8.73%, 11/27/07, $2,554,359 PAR
            KIDDER PEABODY I, 9.89%, 9/1/10, $2,267,447 PAR
            MERIDIAN V, 8.18%, 10/6/17, $143,953 PAR
            MINNEAPOLIS EMPLOYEES RETIREMENT FUND, 8.47%, 2/10/14, $745,891 PAR
            NOMURA, 9.94%, 12/16/23, $22,408,240 PAR
            NORWEST VI, 8.30%, 3/6/26, $5,664,151 PAR
            NORWEST VII, 7.91%, 7/24/25, $5,945,465 PAR
(C)  INTEREST RATES ON COMMERCIAL AND MULTIFAMILY LOANS ARE THE RATES IN EFFECT
     ON MAY 31, 1998. INTEREST RATES AND MATURITY DATES DISCLOSED ON SINGLE
     FAMILY LOANS REPRESENT THE WEIGHTED AVERAGE COUPON AND WEIGHTED AVERAGE
     MATURITY FOR THE UNDERLYING MORTGAGE LOANS AS OF MAY 31, 1998.
(D)  COMMERCIAL AND MULTIFAMILY LOANS ARE DESCRIBED BY THE NAME OF THE MORTGAGED
     PROPERTY. POOLS OF SINGLE FAMILY LOANS ARE DESCRIBED BY THE NAME OF THE
     INSTITUTION FROM WHICH THE LOANS WERE PURCHASED. THE GEOGRAPHICAL LOCATION
     OF THE MORTGAGED PROPERTIES AND, IN THE CASE OF SINGLE FAMILY, THE NUMBER
     OF LOANS, IS PRESENTED BELOW.
COMMERCIAL LOANS:
         7TH STREET & LINCOLN PARKING LOT - PHOENIX, AZ
         AIRPORT PLAZA OFFICES - ALBUQUERQUE, NM
         BLACKLAKE PLACE I AND II - OLYMPIA, WA
         BLACKLAKE PLACE III - OLYMPIA, WA
         BROOKHOLLOW WEST AND NORTHWEST TECHNICAL CENTER - HOUSTON, TX
         COMMERCE CENTER - ALBUQUERQUE, NM
         CUBB PROPERTIES MOBILE HOME PARK - NEW YORK, NY
         DISCO PRINT WAREHOUSE - SUGARLAND, TX
         DUNCAN OFFICE BUILDING - OLYMPIA, WA
         JACKSON STREET WAREHOUSE - PHOENIX, TX
         JOHN BROWN OFFICE BUILDING - HOUSTON, TX
         LAKE POINTE CORPORATE CENTER - MINNEAPOLIS, MN
         LAX AIR FREIGHT CENTER - INGLEWOOD, CA
         MERIDIAN CORPORATE CENTER - BOCA RATON, FL
         NORTH AUSTIN BUSINESS CENTER - AUSTIN, TX
         ONE METRO SQUARE OFFICE BUILDING - FARMERS BRANCH, TX
         PACIFIC SHORES MOBILE HOME PARK II - NEWPORT, OR
         PARKSIDE OFFICE BUILDING - SAN ANTONIO, TX
         PASEO VERDE PLAZA - PHOENIX, AZ
         PILOT KNOB SERVICE CENTER - MENDOTA HEIGHTS, MN
         PMG PLAZA - FORT LAUDERDALE, FL
         SANTA MONICA CENTER - WEST HOLLYWOOD, CA
         SEVENTH STREET PARKING RAMP - PHOENIX, AZ
         TURF MOBILE MANOR - PHOENIX, AZ
MULTIFAMILY LOANS:
         AMBASSADOR HOUSE APARTMENTS - OKLAHOMA CITY, OK
         BOARDWALK APARTMENTS - OKLAHOMA CITY, OK
         BRIARWOOD APARTMENTS - GREELEY, CO
         CHAMPLIN DRIVE APARTMENTS - CHAMPLIN, MN
         CLACKAMAS TRAIL APARTMENTS - CLACKAMAS, OR
         EL CAMINO APARTMENTS - PHOENIX, AZ
         EL TORO BLANCO APARTMENTS - COLORADO SPRINGS, CO
         ESSEX II - ROCHESTER, MN
         EVERHARD ROAD APARTMENTS - NORTH CANTON, OH
         FALLS APARTMENTS - COLORADO SPRINGS, CO
         FARONIA SQUARE APARTMENTS - MEMPHIS, TN
         GENEVA VILLAGE APARTMENTS - WEST JORDAN, UT
         GRAND FORKS MULTIFAMILY - GRAND FORKS, ND
         HARPERS FERRY APARTMENTS - LAFAYETTE, LA
         HERITAGE PARK APARTMENTS - LIVERPOOL, NY
         HUNTINGTON HILLS APARTMENTS - MANKATO, MN
         JOHANSON ARMS APARTMENTS - KINGSBURG, CA
         JOHNSON/WILSON APARTMENTS - ST. PAUL, MN
         KINGSTOWN COLONY APARTMENTS - MARYVILLE, TN
         LAKE CONWAY WOODS - ORLANDO, FL
         MAPLE VILLAGE APARTMENTS - AMERICAN FORK, UT
         MEADOWVIEW APARTMENTS - WEST JORDAN, UT
         MERIDIAN POINTE APARTMENTS - KALISPELL, MT
         MISSION VILLAGE APARTMENTS - TUCSON, AZ
         OAK GROVE APARTMENTS - MINNEAPOLIS, MN
         PALM COURT APARTMENTS - LOS ANGELES, CA
         PARKWAY VILLAGE APARTMENTS - WEST JORDAN, UT
         QUAIL LAKES APARTMENTS - OKLAHOMA CITY,OK
         REGENCY MANOR APARTMENTS - GRAND ISLAND, NY
         RIVERBROOK APARTMENTS - TAMPA, FL
         ROSE PARK APARTMENTS - VERNAL, UT
         ROYAL COURT APARTMENTS - MIAMI BEACH, FL
         SHELTER ISLAND APARTMENTS - LAS VEGAS, NV
         SOUTHLAKE VILLA APARTMENTS - SALT LAKE CITY, UT
         THE TIMBERS APARTMENTS - HOUSTON, TX
         VALLEY MANOR APARTMENTS - HASTINGS, MN
         WESTREE APARTMENTS - COLORADO SPRINGS, CO
SINGLE FAMILY LOANS:
         ARBOR - 44 LOANS, NEW YORK
         BARCLAYS - 14 LOANS, MIDWESTERN UNITED STATES
         BAYVIEW FINANCIAL - 9 LOANS, MARYLAND
         DELAWARE II - 167 LOANS, TEXAS
         FAIRBANKS IV - 25 LOANS, UNITED STATES
         FEDERAL MORTGAGE - 45 LOANS, CONNECTICUT
         FIRST BOSTON II - 54 LOANS, UNITED STATES, PRIMARILY IN TEXAS
         FIRST BOSTON III - 72 LOANS, TEXAS AND FLORIDA
         FIRST BOSTON IV - 61 LOANS, TEXAS, OKLAHOMA, AND MASSACHUSETTS
         FIRST BOSTON V - 28 LOANS, UNITED STATES
         GREENWICH - 24 LOANS, COLORADO
         KIDDER PEABODY I - 93 LOANS, UNITED STATES
         KIDDER PEABODY II - 6 LOANS, ARIZONA AND COLORADO
         KNUTSON III - 21 LOANS, UNITED STATES
         MARYLAND NATIONAL - 17 LOANS, UNITED STATES
         MERIDIAN IV - 84 LOANS, MIDWESTERN UNITED STATES
         MERIDIAN V - 59 LOANS, UNITED STATES
         MINNEAPOLIS EMPLOYEES RETIREMENT FUND - 113 LOANS, MINNESOTA
         MORTGAGE ACCESS - 5 LOANS, NEW JERSEY
         NOMURA - 644 LOANS, CALIFORNIA AND TEXAS
         NOMURA III - 218 LOANS, MIDWESTERN UNITED STATES
         NORWEST II - 56 LOANS, MIDWESTERN UNITED STATES
         NORWEST IV - 47 LOANS, MIDWESTERN UNITED STATES
         NORWEST VI - 36 LOANS, MIDWESTERN UNITED STATES
         NORWEST VII - 43 LOANS, MIDWESTERN UNITED STATES
         NORWEST X - 47 LOANS, MIDWESTERN UNITED STATES
         PRESIDENT HOMES, 93-6C SALES INVENTORY - 2 LOANS, MIDWESTERN UNITED
           STATES
         PRESIDENT HOMES, 93-6E SALES INVENTORY - 2 LOANS, MIDWESTERN UNITED
           STATES
         PRESIDENT HOMES, 94-1B SALES INVENTORY - 1 LOAN, MIDWESTERN UNITED
           STATES
         SEARS MORTGAGE - 9 LOANS, MIDWESTERN UNITED STATES
         SHEARSON LEHMAN - 79 LOANS, UNITED STATES
         THE CROSSINGS - 9 LOANS, MINNESOTA
(E)  SECURITIES PURCHASED AS PART OF A PRIVATE PLACEMENT WHICH HAVE NOT BEEN
     REGISTERED WITH THE SECURITIES AND EXCHANGE COMMISSION UNDER THE SECURITIES
     ACT OF 1933 AND ARE CONSIDERED TO BE ILLIQUID. ON MAY 31, 1998, THE TOTAL
     MARKET VALUE OF THESE INVESTMENTS WAS $308,586,220, OR 102.9% OF TOTAL NET
     ASSETS.
(F)  BASED UPON ESTIMATED TIMING AND AMOUNT OF FUTURE CASH FLOWS, INCOME IS
     CURRENTLY NOT BEING RECOGNIZED ON THIS SECURITY WITH A MARKET VALUE OF
     $18,412.
(G)  REPURCHASE AGREEMENT IN A JOINT TRADING ACCOUNT WHICH IS COLLATERALIZED BY
     U.S. GOVERNMENT AGENCY SECURITIES. ACCRUED INTEREST SHOWN REPRESENTS
     INTEREST DUE AT MATURITY OF THE REPURCHASE AGREEMENT
(H)  ON MAY 31, 1998, THE COST OF INVESTMENTS IN SECURITIES, INCLUDING REAL
     ESTATE OWNED, FOR FEDERAL INCOME TAX PURPOSES WAS $386,113,384. THE
     AGGREGATE GROSS UNREALIZED APPRECIATION AND DEPRECIATION OF INVESTMENTS IN
     SECURITIES BASED ON THIS COST WERE AS FOLLOWS:
 
<TABLE>
      <S>                                   <C>
      GROSS UNREALIZED APPRECIATION ......  $ 12,263,992
      GROSS UNREALIZED DEPRECIATION ......    (2,908,405)
                                            ------------
        NET UNREALIZED APPRECIATION ......  $  9,355,587
                                            ------------
                                            ------------
</TABLE>
 
- --------------------------------------------------------------------------------
 
        16  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
             Independent Auditors' Report
- --------------------------------------------------------------------------------
 
                      THE BOARD OF DIRECTORS AND SHAREHOLDERS
                      AMERICAN STRATEGIC INCOME PORTFOLIO INC. III:
 
                      We have audited the accompanying statement of assets and
                      liabilities, including the schedule of investments in
                      securities, of American Strategic Income Portfolio Inc.
                      III as of May 31, 1998, and the related statements of
                      operations and cash flows for the year then ended, the
                      statements of changes in net assets for each of the years
                      in the two-year period ended May 31, 1998, and the
                      financial highlights for each of the years in the
                      five-year period ended May 31, 1998. These financial
                      statements and the financial highlights are the
                      responsibility of the fund's management. Our
                      responsibility is to express an opinion on these financial
                      statements and the financial highlights based on our
                      audits.
 
                      We conducted our audits in accordance with generally
                      accepted auditing standards. Those standards require that
                      we plan and perform the audit to obtain reasonable
                      assurance about whether the financial statements and the
                      financial highlights are free of material misstatement. An
                      audit includes examining, on a test basis, evidence
                      supporting the amounts and disclosures in the financial
                      statements. Investment securities held in custody are
                      confirmed to us by the custodian. An audit also includes
                      assessing the accounting principles used and significant
                      estimates made by management, as well as evaluating the
                      overall financial statement presentation. We believe that
                      our audits provide a reasonable basis for our opinion.
 
                      In our opinion, the financial statements and the financial
                      highlights referred to above present fairly, in all
                      material respects, the financial position of American
                      Strategic Income Portfolio Inc. III as of May 31, 1998,
                      and the results of its operations and cash flows, the
                      changes in its net assets and the financial highlights for
                      the periods stated in the first paragraph above, in
                      conformity with generally accepted accounting principles.
 
                      KPMG Peat Marwick LLP
                      Minneapolis, Minnesota
                      July 10, 1998
 
- --------------------------------------------------------------------------------
 
        17  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
             Federal Income Tax Information
- --------------------------------------------------------------------------------
 
                      The following per-share information describes the federal
                      tax treatment of distributions made during the fiscal
                      year. Distributions for the calendar year will be reported
                      to you on Form 1099-DIV. Please consult a tax advisor on
                      how to report these distributions at the state and local
                      levels.
 
                      INCOME DISTRIBUTIONS (TAXABLE AS ORDINARY DIVIDENDS, NONE
                      QUALIFYING FOR DEDUCTION BY CORPORATIONS)
 
<TABLE>
<CAPTION>
PAYABLE DATE                              AMOUNT
- ----------------------------------------  -------
<S>                                       <C>
June 25, 1997 ..........................  $0.0825
July 23, 1997 ..........................   0.0825
August 27, 1997 ........................   0.0825
September 24, 1997 .....................   0.0825
October 15, 1997 .......................   0.0825
November 24, 1997 ......................   0.0825
December 22, 1997 ......................   0.1425
January 12, 1998 .......................   0.0825
February 25, 1998 ......................   0.0825
March 25, 1998 .........................   0.0825
April 22, 1998 .........................   0.0825
May 27, 1998 ...........................   0.0825
                                          -------
  Total ................................  $1.0500
                                          -------
                                          -------
</TABLE>
 
- --------------------------------------------------------------------------------
 
        18  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
             Shareholder Update
- --------------------------------------------------------------------------------
 
                      ANNUAL MEETING RESULTS
                      An annual meeting of the fund's shareholders was held on
                      August 20, 1997. Each matter voted upon at that meeting,
                      as well as the number of votes cast for, against or
                      withheld, the number of abstentions, and the number of
                      broker non-votes with respect to such matters, are set
                      forth below.
 
                      1.  The fund's shareholders elected the following
                          directors:
 
<TABLE>
<CAPTION>
                                             SHARES       SHARES WITHHOLDING
                                           VOTED "FOR"    AUTHORITY TO VOTE
                                          -------------   ------------------
<S>                                       <C>             <C>
David Bennett ..........................     15,478,296         473,181
Jaye F. Dyer ...........................     15,479,021         472,456
William H. Ellis .......................     15,480,668         470,809
Karol D. Emmerich ......................     15,483,843         467,634
Luella G. Goldberg .....................     15,479,021         472,456
David A. Hughey ........................     15,474,190         477,287
George Latimer .........................     15,474,937         476,541
</TABLE>
 
                      2.  The fund's shareholders ratified the selection by a
                          majority of the independent members of the fund's
                          board of directors of KPMG Peat Marwick LLP as the
                          independent public accountants for the fund for the
                          fiscal year ending May 31, 1998. The following votes
                          were cast regarding this matter:
 
<TABLE>
<CAPTION>
    SHARES           SHARES                        BROKER
 VOTED "FOR"     VOTED "AGAINST"    ABSTENTIONS   NON-VOTES
 ------------   -----------------   -----------   ---------
 <S>            <C>                 <C>           <C>
  15,627,197          65,990          258,290        --
</TABLE>
 
                      TERMS AND CONDITIONS OF THE DIVIDEND REINVESTMENT PLAN
                      As a shareholder, you may choose to participate in the
                      Dividend Reinvestment Plan. It's a convenient and
                      economical way to buy additional shares of the fund by
                      automatically reinvesting dividends and capital gains. The
                      plan is administered by Investors Fiduciary Trust Company
                      (IFTC), the plan agent.
 
                      ELIGIBILITY/PARTICIPATION
                      You may join the plan at any time. Reinvestment of
                      distributions will begin with the next distribution paid,
                      provided your request is received at least 10 days before
                      the record date for that distribution.
 
                      If your shares are in certificate form, you may join the
                      plan directly and have your distributions reinvested in
                      additional shares of the fund. To enroll in this plan,
                      call IFTC at 1-800-543-1627. If your shares are registered
                      in your brokerage firm's name or another name, ask the
                      holder of your shares how you may participate.
 
                      Banks, brokers or nominees, on behalf of their beneficial
                      owners who wish to reinvest dividend and capital gains
                      distributions, may participate in the plan by informing
                      IFTC at least 10 days before each share's dividend and/or
                      capital gains distribution.
 
                      PLAN ADMINISTRATION
                      Beginning no more than 5 business days before the dividend
                      payment date, IFTC will buy shares of the fund on the New
                      York Stock Exchange (NYSE) or elsewhere on the open market
                      only when the price of the fund's shares on the NYSE plus
                      commissions is at less than a 5% premium over the fund's
                      most recently calculated net asset value (NAV) per share.
                      If, at the close of business on the dividend
 
- --------------------------------------------------------------------------------
 
        19  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                      Shareholder Update (continued)
- --------------------------------------------------------------------------------
                      payment date, the shares purchased in the open market are
                      insufficient to satisfy the dividend reinvestment
                      requirement, IFTC will accept payment of the dividend, or
                      the remaining portion, in authorized but unissued shares
                      of the fund. These shares will be issued at a per-share
                      price equal to the higher of (a) the NAV per share as of
                      the close of business on the payment date or (b) 95% of
                      the closing market price per share on the payment date.
 
                      By participating in the dividend reinvestment plan, you
                      may receive benefits not available to shareholders who
                      elect not to participate. For example, if the market price
                      plus commissions of the fund's shares is 5% or more above
                      the NAV, you will receive shares at a discount of up to 5%
                      from the current market value. However, if the market
                      price plus commissions is below the NAV, you will receive
                      distributions in shares with an NAV greater than the value
                      of any cash distributions you would have received.
 
                      There is no direct charge for reinvestment of dividends
                      and capital gains, since IFTC fees are paid for by the
                      fund. However, if fund shares are purchased in the open
                      market, each participant pays a pro rata portion of the
                      brokerage commissions. Brokerage charges are expected to
                      be lower than those for individual transactions because
                      shares are purchased for all participants in blocks. As
                      long as you continue to participate in the plan,
                      distributions paid on the shares in your account will be
                      reinvested.
 
                      IFTC maintains accounts for plan participants holding
                      shares in certificate form and will furnish written
                      confirmation of all transactions, including information
                      you need for tax records. Reinvested shares in your
                      account will be held by IFTC in noncertified form in your
                      name.
 
                      TAX INFORMATION
                      Distributions invested in additional shares of the fund
                      are subject to income tax, just as they would be if
                      received in cash. When shares are issued by the fund at a
                      discount from market value, shareholders will be treated
                      as having received distributions of an amount equal to the
                      full market value of those shares. Shareholders, as
                      required by the Internal Revenue Service, will receive
                      Form 1099 regarding the federal tax status of the prior
                      year's distributions.
 
                      PLAN WITHDRAWAL
                      If you hold your shares in certificate form, you may
                      terminate your participation in the plan at any time by
                      giving written notice to IFTC. If your shares are
                      registered in your brokerage firm's name, you may
                      terminate your participation via verbal or written
                      instructions to your investment professional. Written
                      instructions should include your name and address as they
                      appear on the certificate or account.
 
                      If notice is received at least 10 days before the record
                      date, all future distributions will be paid directly to
                      the shareholder of record.
 
                      If your shares are issued in certificate form and you
                      discontinue your participation in the plan, you (or your
                      nominee) will receive an additional certificate for all
                      full shares and a check for any fractional shares in your
                      account.
 
- --------------------------------------------------------------------------------
 
        20  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>
                      Shareholder Update (continued)
- --------------------------------------------------------------------------------
 
                      PLAN AMENDMENT/TERMINATION
                      The fund reserves the right to amend or terminate the
                      plan. Should the plan be amended or terminated,
                      participants will be notified in writing at least 90 days
                      before the record date for such dividend or distribution.
                      The plan may also be amended or terminated by IFTC with at
                      least 90 days written notice to participants in the plan.
 
                      Any question about the plan should be directed to your
                      investment professional or to Investors Fiduciary Trust
                      Company, P.O. Box 419432, Kansas City, Missouri 64141,
                      1-800-543-1627.
 
- --------------------------------------------------------------------------------
 
        21  1998 Annual Report - American Strategic Income Portfolio III
<PAGE>

                       THIS PAGE WAS INTENTIONALLY LEFT BLANK.


- --------------------------------------------------------------------------------
           22 1998 Annual Report - American Strategic Income Portfolio III

<PAGE>

                       THIS PAGE WAS INTENTIONALLY LEFT BLANK.


- --------------------------------------------------------------------------------
           23 1998 Annual Report - American Strategic Income Portfolio III

<PAGE>

GLOSSARY OF TERMS***
- --------------------------------------------------------------------------------


BENCHMARK INDEX
A benchmark is an established basis of comparison for an investment's
performance. A benchmark may be an unmanaged market index or a group of similar
investments. This particular fund carries more credit risk than the securities
in its benchmark index. Therefore, during favorable real estate markets, the
fund should outperform its benchmark (barring foreclosures). At the same time,
unfavorable real estate markets could cause underperformance.

DISCOUNT
Closed-end fund shares may trade in the market at prices that are equal to,
above or below their net asset value (NAV). When investors purchase or sell
shares at a price that is below current NAV, the shares are said to be trading
at a discount.

NET ASSET VALUE
Net asset value (or NAV) is the value of the fund's assets less its liabilities
divided by the number of shares outstanding. 

REVERSE REPURCHASE AGREEMENTS
A reverse repurchase agreement is an agreement between a seller of securities
(the fund) and a buyer, whereby the fund receives cash and pays interest and
agrees to buy back the same securities at an agreed upon price on a stated date.
Reverse repurchase agreements are considered a form of borrowing.

RISK
All funds that invest in mortgage-related securities are subject to certain
risks. Following is a brief summary of some of the primary risks associated with
mortgage-related assets. It does not include all risks related to mortgage
securities.

Among these risks is PREPAYMENT RISK in which principal payments are prepaid at
unexpected rates. Prepayment rates are influenced by changes in interest rates
and a variety of other factors. If the fund buys a mortgage loan at a premium, a
faster-than-anticipated prepayment rate will reduce the fund's yield and a
slower-than-anticipated prepayment rate will increase its yield. If a mortgage
loan is purchased at a discount, the opposite will occur. There is also the
chance that proceeds from prepaid loans will have to be reinvested in
lower-yielding investments (REINVESTMENT RISK).

Like all fixed income investments, the prices of securities in the fund are
sensitive to changing interest rates - otherwise known as INTEREST RATE RISK.
When rates increase, the value of these securities decreases. Conversely, when
rates decline, the value of these securities rises. However, mortgage-related
assets may benefit less from declining interest rates than other fixed income
securities because of prepayment risk.

This particular fund's mortgage loans are also subject to real estate risk and
credit risk. Since the fund's mortgage loans generally aren't backed by any
government guarantee or private credit enhancement, they face more significant
CREDIT RISK than other mortgage-related securities. Credit risk is the risk of
loss arising from default if the borrower fails to make payments on the loan.
This risk may be greater during periods of declining or stagnant real estate
values and could also occur following natural disasters such as a flood or
earthquake, for which a property may be uninsured. Mortgage loans are also
subject to REAL ESTATE RISKS including property risk (the risk that the physical
condition and value of the property will decline) and the legal risk of holding
any mortgage loan. 


*** - This symbol represents a graduation cap, used throughout this report to
indicate terms defined in the glossary.
- --------------------------------------------------------------------------------
           24 1998 Annual Report - American Strategic Income Portfolio III

<PAGE>

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<PAGE>

[LOGO]   NOT FDIC INSURED      NO BANK GUARANTEE      MAY LOSE VALUE



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#11530 7/1998 160-98



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