AMERICAN OPPORTUNITY INCOME FUND INC
N-30D, 1997-12-30
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<PAGE>

                                             1997 Annual Report
- --------------------------------------------------------------------------------


[LOGO]


AMERICAN
OPPORTUNITY
INCOME FUND





                                         OIF








AMERICAN OPPORTUNITY INCOME FUND - 1997 ANNUAL REPORT

<PAGE>

CONTENTS
- --------------------------------------------------------------------------------

Average Annualized Total Returns . . . . . . . . . . . . . . . . . . . . . . .1
Portfolio Managers' Letter . . . . . . . . . . . . . . . . . . . . . . . . . .2
Financial Statements and Notes . . . . . . . . . . . . . . . . . . . . . . . .5
Investments in Securities. . . . . . . . . . . . . . . . . . . . . . . . . . 17
Independent Auditors' Report . . . . . . . . . . . . . . . . . . . . . . . . 20
Federal Income Tax Information . . . . . . . . . . . . . . . . . . . . . . . 21
Shareholder Update . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Glossary***  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28


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


[LOGO]

AMERICAN OPPORTUNITY INCOME FUND
- --------------------------------------------------------------------------------

PRIMARY INVESTMENTS

Mortgage-backed securities, including U.S. government and agency securities and
privately issued securities. The fund's investments in mortgage-backed
securities include derivative securities, and the fund may purchase securities
through the dollar-roll program and enter into reverse repurchase agreements.
Investments in certain mortgage-backed derivative securities, the purchase of
securities through the dollar-roll program and the use of reverse repurchase
agreements 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 capital appreciation.
As with other investment companies, there can be no assurance this fund will
achieve its objective.



<PAGE>

AVERAGE ANNUALIZED TOTAL RETURNS
- --------------------------------------------------------------------------------

BASED ON NET ASSET VALUE FOR THE PERIODS ENDED OCTOBER 31, 1997
- --------------------------------------------------------------------------------

[CHART]

                                                              SINCE INCEPTION
                                     ONE YEAR    FIVE YEAR        9/29/89
                                     --------    ---------    ---------------

AMERICAN OPPORTUNITY INCOME FUND       9.64%        3.50%          9.40%

Lehman Brothers Mutual Fund
5-10 Year Government Index             8.78%        7.54%          9.16%


     American Opportunity Income Fund's average annualized total returns 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 October 31, 1997,
     were 15.58%, 2.27%, and 7.34%, respectively. These returns assume
     reinvestment of all distributions and reflect sales charges on those
     distributions 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 5-10 Year Government Index is an index of
     all U.S. government agency and Treasury securities with maturities of 5-10
     years. The index does not reflect expenses or transaction costs. The since
     inception number for the Lehman index is calculated from the month end
     following the fund's inception through October 31, 1997.


- --------------------------------------------------------------------------------
                   1997 Annual Report  1  American Opportunity Income Fund





<PAGE>


PORTFOLIO MANAGERS' LETTER
- --------------------------------------------------------------------------------

DECEMBER 12, 1997
- --------------------------------------------------------------------------------

[PHOTO]

WORTH BRUNTJEN shares responsibility for the management of American Opportunity
Income Fund. Bruntjen will be leaving Piper Capital Management on January 1,
1998, and will no longer be part of the fund's management team.

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

DEAR SHAREHOLDERS:

FOR THE ONE-YEAR PERIOD ENDED OCTOBER 31, 1997, AMERICAN OPPORTUNITY INCOME FUND
HAD A NET ASSET VALUE TOTAL RETURN OF 9.64%. This compares to a 8.78% gain for
the fund's benchmark,*** the Lehman Brothers Mutual Fund 5-10 Year Government
Index. The fund's one-year total return based on market price was 15.58%.*

WE ATTRIBUTE THE FUND'S OUTPERFORMANCE TO SEVERAL DECISIONS WE MADE DURING THE
YEAR REGARDING EFFECTIVE DURATION.*** In late April, we extended duration in
anticipation of lower interest rates, which helped position the fund for a bond
market rally that lasted through July. We extended duration by slightly
increasing the amount of mortgage-backed securities in the fund's dollar-roll
program*** and by adding a combination of three-year and 20-


* 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 those distributions 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 October 31, 1997

[CHART]

Other                                                   1%
Short-Term                                              3%
U.S. Agency Z-Bond Securities                           8%
Private Z-Bond Securities                               1%
U.S. Treasury Securities                               18%
U.S. Agency Adjustable Rate Mortgage-Backed Securities  2%
Corporate Bonds                                         5%
U.S. Agency Fixed Rate CMOs                             5%
U.S. Agency Fixed Rate Mortgage-Backed Securities      57%

- --------------------------------------------------------------------------------
                    1997 Annual Report  2  American Opportunity Income Fund

<PAGE>

PORTFOLIO MANAGERS' LETTER (continued)
- --------------------------------------------------------------------------------

[PHOTO]

BRUCE SALVOG shares responsibility for the management of American Opportunity
Income Fund. He has 27 years of financial experience.
- --------------------------------------------------------------------------------


year maturity U.S. Treasury securities to the fund's portfolio. In late July, we
shortened duration before strong economic reports in August caused rates to edge
higher. This strategy helped the fund's performance and helped protect
shareholder capital. As of October 31, 1997, the fund's effective duration was
5.0 years, compared to 5.3 years for the Lehman Brothers Mutual Fund 5-10 Year
Government Index.

THE FUND BENEFITED FROM ITS WEIGHTING IN MORTGAGE-BACKED SECURITIES IN THE FIRST
HALF OF THE YEAR, WHILE ITS HOLDINGS IN U.S. TREASURIES PERFORMED WELL DURING
THE LATTER PART OF THE YEAR. Early in the period, rising interest rates caused
mortgage-backed securities to outperform other sectors of the bond market due to
their higher yields, an easing of refinancing fears and slightly shorter
effective durations in comparison to other fixed income securities of comparable
maturities. As rates moved downward, we held more Treasury securities than is
typical for this fund. This had a favorable impact, as Treasuries usually
outperform mortgage-backed securities during periods of falling interest rates
when borrowers are refinancing and prepaying their mortgages.

SETTLEMENT OF THE CLASS ACTION LAWSUIT AGAINST THE FUND AND SEVEN OTHER
CLOSED-END MANAGEMENT COMPANIES MANAGED BY PIPER CAPITAL MANAGEMENT BECAME
EFFECTIVE IN SEPTEMBER, AND THE FUND COMPLETED A SHARE REPURCHASE. The
settlement included payments by Piper Jaffray Companies totaling $15.5 million
over a four-year period. It also included an agreement by the fund to repurchase
up to 25% of its outstanding shares. Proceeds of this repurchase, which was
funded by liquidating the fund's lower yielding Treasury


- --------------------------------------------------------------------------------
                    1997 Annual Report  3  American Opportunity Income Fund

<PAGE>

PORTFOLIO MANAGERS' LETTER (continued)
- --------------------------------------------------------------------------------

[PHOTO]

TOM MCGLINCH, CFA shares responsibility for the management of American
Opportunity Income Fund. He has 16 years of financial experience.
- --------------------------------------------------------------------------------

securities, were paid out on December 5. Finally, the settlement included an
agreement that the fund's board would submit a proposal to convert the fund to
an open-end format if the discount between net asset value and market price does
not decrease to 5% or less within approximately two years after the effective
date of the settlement, unless the board determines that it would not be in fund
shareholders' best interest to do so.

AS THE ECONOMY CONTINUES TO SHOW ROBUST GROWTH, THE INFLATION OUTLOOK REMAINS
STABLE, WHICH BODES WELL FOR THE BOND MARKET. In this environment, we intend to
maintain the fund's effective duration, which is now near that of its benchmark.
Should yields move higher, we may extend duration to enhance the fund's
long-term income-producing potential.

Thank you for your investment in American Opportunity Income Fund. We appreciate
the opportunity to manage your assets and help you reach your investment goals.

Sincerely,


/s/ Worth Bruntjen

Worth Bruntjen
Portfolio Manager


/s/ Bruce Salvog

Bruce Salvog
Portfolio Manager


/s/ Tom McGlinch

Tom McGlinch
Portfolio Manager


- --------------------------------------------------------------------------------
                    1997 Annual Report  4  American Opportunity Income Fund
<PAGE>
Financial Statements
 
- --------------------------------------------------------------------------------
STATEMENT OF ASSETS AND LIABILITIES  October 31, 1997
 ................................................................................
 
<TABLE>
<S>                                                           <C>
ASSETS:
Investments in securities at market value* (note 2)
  (including a repurchase agreement of $6,674,000) .........     $192,174,658
Cash in bank on demand deposit .............................           25,932
Principal receivable on mortgage securities ................           34,448
Accrued interest receivable ................................        1,339,791
                                                              ------------------
  Total assets .............................................      193,574,829
                                                              ------------------
 
LIABILITIES:
Payable for investment securities purchased on a when-issued
  basis (note 2) ...........................................       20,610,156
Reverse repurchase agreements payable ......................       21,000,000
Accrued investment management fee ..........................           65,422
Accrued administrative fee .................................           25,500
Accrued interest ...........................................          180,992
                                                              ------------------
  Total liabilities ........................................       41,882,070
                                                              ------------------
  Net assets applicable to outstanding capital stock .......     $151,692,759
                                                              ------------------
                                                              ------------------
 
COMPOSITION OF NET ASSETS:
Capital stock and additional paid-in capital ...............     $209,623,443
Undistributed net investment income ........................          233,801
Accumulated net realized loss on investments ...............      (63,766,560)
Unrealized appreciation of investments .....................        5,602,075
                                                              ------------------
 
  Total - representing net assets applicable to capital
    stock ..................................................     $151,692,759
                                                              ------------------
                                                              ------------------
 
* Investments in securities at identified cost .............     $186,572,583
                                                              ------------------
                                                              ------------------
 
NET ASSET VALUE AND MARKET PRICE:
Net assets .................................................     $151,692,759
Shares outstanding (authorized 250 million shares of $0.01
  par value) ...............................................       22,663,473
Net asset value ............................................     $       6.69
Market price ...............................................     $       6.31
</TABLE>
 
SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  5  American Opportunity Income Fund
<PAGE>
Financial Statements  (continued)
- ---------------------------------------------------------------------
 
STATEMENT OF OPERATIONS  For the Year Ended October 31, 1997
 ................................................................................
 
<TABLE>
<S>                                                           <C>
INCOME:
Interest (net of interest expense of $1,167,043) ...........     $10,693,359
Fee income (note 2) ........................................         206,599
                                                              -----------------
 
  Total investment income ..................................      10,899,958
                                                              -----------------
 
EXPENSES (NOTE 3):
Investment management fee ..................................         785,369
Administrative fee .........................................         294,871
Custodian and accounting fees ..............................         105,246
Transfer agent fees ........................................          16,500
Reports to shareholders ....................................          32,899
Directors' fees ............................................          13,585
Audit and legal fees .......................................          54,704
Other expenses .............................................          47,234
                                                              -----------------
  Total expenses ...........................................       1,350,408
    Less expenses paid indirectly ..........................            (207)
                                                              -----------------
 
  Total net expenses .......................................       1,350,201
                                                              -----------------
 
  Net investment income ....................................       9,549,757
                                                              -----------------
 
NET REALIZED AND UNREALIZED GAINS (LOSSES) ON INVESTMENTS:
Net realized loss on investments (note 4) ..................        (367,463)
Net realized loss on closed futures contracts ..............        (503,129)
                                                              -----------------
 
  Net realized loss on investments .........................        (870,592)
Net change in unrealized appreciation or depreciation of
  investments ..............................................       5,150,515
                                                              -----------------
 
  Net gain on investments ..................................       4,279,923
                                                              -----------------
 
    Net increase in net assets resulting from operations ...     $13,829,680
                                                              -----------------
                                                              -----------------
</TABLE>
 
SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  6  American Opportunity Income Fund
<PAGE>
Financial Statements  (continued)
- ---------------------------------------------------------------------
 
STATEMENT OF CASH FLOWS  For the Year Ended October 31, 1997
 ................................................................................
 
<TABLE>
<S>                                                           <C>
CASH FLOWS FROM OPERATING ACTIVITIES:
Interest and fee income ....................................     $  10,899,958
Net expenses ...............................................        (1,350,201)
                                                              -------------------
  Net investment income ....................................         9,549,757
                                                              -------------------
 
Adjustments to reconcile net investment income to net cash
  provided by operating activities:
  Change in accrued interest receivable and principal
    receivable on mortgage securities ......................           (19,730)
  Net amortization of bond discount and premium ............          (142,967)
  Change in accrued fees and expenses ......................           117,846
                                                              -------------------
    Total adjustments ......................................           (44,851)
                                                              -------------------
 
    Net cash provided by operating activities ..............         9,504,906
                                                              -------------------
 
CASH FLOWS FROM INVESTING ACTIVITIES:
Proceeds from sales of investments .........................       104,092,472
Purchases of investments ...................................       (98,392,416)
Net purchases of short-term securities .....................        (5,182,000)
Net variation margin received from futures contracts .......            40,465
                                                              -------------------
 
    Net cash provided by investing activities ..............           558,521
                                                              -------------------
 
CASH FLOWS FROM FINANCING ACTIVITIES:
Distributions paid to shareholders .........................       (10,062,582)
                                                              -------------------
 
    Net cash used by financing activities ..................       (10,062,582)
                                                              -------------------
Net increase in cash .......................................               845
Cash at beginning of year ..................................            25,087
                                                              -------------------
 
    Cash at end of year ....................................     $      25,932
                                                              -------------------
                                                              -------------------
 
Supplemental disclosure of cash flow information:
  Cash paid for interest on reverse repurchase
    agreements .............................................     $   1,048,482
                                                              -------------------
                                                              -------------------
</TABLE>
 
SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  7  American Opportunity Income Fund
<PAGE>
Financial Statements  (continued)
- ---------------------------------------------------------------------
 
STATEMENTS OF CHANGES IN NET ASSETS
 ................................................................................
 
<TABLE>
<CAPTION>
                                                                  YEAR ENDED           YEAR ENDED
                                                                   10/31/97             10/31/96
                                                              ------------------   ------------------
<S>                                                           <C>                  <C>
OPERATIONS:
Net investment income ......................................     $  9,549,757         $  9,905,260
Net realized loss on investments ...........................         (870,592)          (4,732,377)
Net change in unrealized appreciation or depreciation of
  investments ..............................................        5,150,515            5,938,003
                                                              ------------------   ------------------
 
  Net increase in net assets resulting from operations .....       13,829,680           11,110,886
                                                              ------------------   ------------------
 
DISTRIBUTIONS TO SHAREHOLDERS:
From net investment income .................................      (10,062,582)         (14,388,307)
                                                              ------------------   ------------------
 
CAPITAL SHARE TRANSACTIONS (NOTE 6):
Decrease in net assets from capital share transactions .....               --           (1,606,701)
                                                              ------------------   ------------------
  Total increase (decrease) in net assets ..................        3,767,098           (4,884,122)
 
Net assets at beginning of year ............................      147,925,661          152,809,783
                                                              ------------------   ------------------
 
Net assets at end of year ..................................     $151,692,759         $147,925,661
                                                              ------------------   ------------------
                                                              ------------------   ------------------
 
Undistributed net investment income ........................     $    233,801         $    719,300
                                                              ------------------   ------------------
                                                              ------------------   ------------------
</TABLE>
 
SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  8  American Opportunity Income Fund
<PAGE>
        Notes to Financial Statements
- --------------------------------------------------------------------------------
 
(1) ORGANIZATION
 ................................
               American Opportunity Income Fund Inc. (the fund) is registered
               under the Investment Company Act of 1940 (as amended) as a
               diversified, closed-end management investment company. The fund
               invests principally in mortgage-backed securities including U.S.
               government agency securities and privately issued securities. The
               fund may purchase securities through the dollar-roll program. 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 OIF.
 
(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 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 maturites of 60 days or less
               are valued at amortized cost, which approximates market value.
 
               Exchange-traded options are valued at the last sales price on the
               exchange prior to the time when assets are valued. If no sales
               were reported that day, the options will be valued at the mean
               between the current closing bid and asked prices.
               Over-the-counter options are valued using market quotations
               obtained from broker-dealers. Financial futures are valued at the
               last settlement price established each day by the board of trade
               or exchange on which they are traded.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  9  American Opportunity Income Fund
<PAGE>
           Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
 
               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.
 
               FUTURES TRANSACTIONS
               In order to gain exposure to or protect against changes in the
               market, the fund may buy and sell financial futures contracts and
               related options. Risks of entering into futures contracts and
               related options include the possibility that there may be an
               illiquid market and that a change in the value of the contract or
               option may not correlate with changes in the value of the
               underlying securities.
 
               Upon entering into a futures contract, the fund is required to
               deposit either cash or securities in an amount (initial margin)
               equal to a certain percentage of the contract value. Subsequent
               payments (variation margin) are made or received by the fund each
               day. The variation margin payments are equal to the daily changes
               in the contract value and are recorded as unrealized gains and
               losses. The fund recognizes a realized gain or loss when the
               contract is closed or expires.
 
               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 October 31, 1997,
               the fund had outstanding when-issued or forward commitments of
               $20,610,156.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  10  American Opportunity Income Fund
<PAGE>
           Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
 
               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
               contracts 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 the year
               ended October 31, 1997, such fees earned by the fund amounted to
               $206,599.
 
               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.
 
               Net investment income and net realized gains (losses) may differ
               for financial statement and tax purposes. 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. 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 and losses were recorded by the fund.
 
               On the statement of assets and liabilities, as a result of
               permanent book-to-tax differences, a reclassification adjustment
               has been made to increase undistributed net investment income by
               $27,326, decrease accumulated net realized loss on investments by
               $36,779 and decrease additional paid-in-capital by $64,105.
 
               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
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  11  American Opportunity Income Fund
<PAGE>
           Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
               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 10%
               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 the following agreements with Piper
               Capital Management Incorporated (the advisor and administrator):
 
               The investment advisory agreement provides the advisor with a
               monthly investment management fee in an amount equal to an
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  12  American Opportunity Income Fund
<PAGE>
           Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
               annualized rate of 0.20% of the fund's average weekly net assets
               and 4.50% of the daily gross income (i.e., 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) accrued by the fund
               during the month. The monthly investment management fee shall not
               exceed in the aggregate 1/12th 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 October 31, 1997, the effective
               investment management fee incurred by the fund was 0.53%. 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 reporting, regulatory and
               record-keeping services for the fund.
 
               OTHER FEES AND EXPENSES
               In addition to the investment management and administrative 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; taxes and other miscellaneous expenses.
 
               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 and dollar
               roll transactions, for the year ended October 31, 1997,
               aggregated $110,666,789 and $104,092,472, respectively. Including
               dollar rolls, such purchases and sales aggregated $185,852,557
               and $179,278,240, respectively.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  13  American Opportunity Income Fund
<PAGE>
           Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
 
(5) CAPITAL LOSS
    CARRYOVER
 ................................
               For federal income tax purposes, the fund had capital loss
               carryovers at October 31, 1997, 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>
                                           $  5,283,808         2001
                                             27,202,478         2002
                                             25,520,417         2003
                                              4,873,784         2004
                                                886,073         2005
                                          -------------
                                           $ 63,766,560
                                          -------------
                                          -------------
</TABLE>
 
(6) RETIREMENT OF
    FUND SHARES
 ................................
               The fund's board of directors voted to discontinue the share
               repurchase program effective February 6, 1996. Pursuant to the
               plan, the fund repurchased and retired 265,800 shares during the
               year ended October 31, 1996. Cumulatively, the fund has
               repurchased and retired 500,200 shares, which represents 2.5% of
               the shares originally issued.
 
(7) SUBSEQUENT
    EVENT -
    REPURCHASE
    OFFER
 ................................
               The fund's board of directors concluded that an offer to
               repurchase up to 25% 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
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  14  American Opportunity Income Fund
<PAGE>
           Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------
               percentage of outstanding shares tendered, the number of shares
               tendered, the repurchase price per share and proceeds paid by the
               fund were as follows:
 
<TABLE>
<CAPTION>
                                          PERCENTAGE         SHARES          REPURCHASE        PROCEEDS
                                           TENDERED         TENDERED            PRICE            PAID
                                          ----------   -------------------   -----------   -----------------
<S>                                       <C>          <C>                   <C>           <C>
                                              25%                5,672,927      $6.66         $   37,781,694
</TABLE>
 
               The settlement agreement also provides that if the discount
               between net asset value and market price of the fund does not
               decrease to 5 percent or less within approximately two years
               after the effective date of the settlement, the fund's board will
               submit a shareholder proposal to convert the fund to an open-end
               format unless the board determines at that time that it would not
               be in fund shareholders' best interests to do so.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  15  American Opportunity Income Fund
<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:
 
<TABLE>
<CAPTION>
                                                                                             Two
                                            Year        Year        Year        Year       Months       Year
                                            Ended       Ended       Ended       Ended       Ended      Ended
                                          10/31/97    10/31/96    10/31/95    10/31/94    10/31/93    8/31/93
                                          ---------   ---------   ---------   ---------   ---------   --------
<S>                                       <C>         <C>         <C>         <C>         <C>         <C>
PER-SHARE DATA
Net asset value, beginning of period ...    $ 6.53      $ 6.66      $ 6.42      $10.68      $10.88     $11.33
                                          ---------   ---------   ---------   ---------   ---------   --------
Operations:
  Net investment income ................      0.42        0.43        0.49        0.85        0.34       1.71
  Net realized and unrealized gains
    (losses) on investments ............      0.18        0.07        0.75       (3.53)      (0.37)     (0.02)
                                          ---------   ---------   ---------   ---------   ---------   --------
    Total from operations ..............      0.60        0.50        1.24       (2.68)      (0.03)      1.69
                                          ---------   ---------   ---------   ---------   ---------   --------
Distributions to shareholders:
  From net investment income ...........     (0.44)      (0.63)      (1.00)      (1.48)      (0.17)     (1.22)
  From net realized gains ..............        --          --          --          --          --      (0.92)
  In excess of net realized gains ......        --          --          --       (0.10)         --         --
                                          ---------   ---------   ---------   ---------   ---------   --------
    Total distributions to
      shareholders .....................     (0.44)      (0.63)      (1.00)      (1.58)      (0.17)     (2.14)
                                          ---------   ---------   ---------   ---------   ---------   --------
Net asset value, end of period .........    $ 6.69      $ 6.53      $ 6.66      $ 6.42      $10.68     $10.88
                                          ---------   ---------   ---------   ---------   ---------   --------
                                          ---------   ---------   ---------   ---------   ---------   --------
Market value, end of period ............    $ 6.31      $ 5.88      $ 6.13      $ 7.00      $11.63     $11.63
                                          ---------   ---------   ---------   ---------   ---------   --------
                                          ---------   ---------   ---------   ---------   ---------   --------
SELECTED INFORMATION
Total return, net asset value (a) ......      9.64%       7.98%      20.98%     (27.61)%     (0.29)%    17.30%
Total return, market value (b) .........     15.58%       6.85%       2.16%     (28.77)%      1.43%     21.82%
Net assets at end of period (in
  millions) ............................    $  152      $  148      $  153      $  146      $  232     $  237
Ratio of expenses to average weekly net
  assets excluding interest expense
  (c) ..................................      0.92%       1.01%       1.29%       1.39%       1.10%(f)    1.33%
Ratio of expenses to average weekly net
  assets including interest expense
  (c) ..................................      1.71%       1.42%       1.29%       2.58%       1.62%(f)    2.78%
Ratio of net investment income to
  average weekly net assets ............      6.48%       6.72%       7.74%      10.73%      19.11%(f)   15.83%
Portfolio turnover rate (excluding
  short-term securities and dollar roll
  transactions) ........................        59%        118%        139%        169%         21%       104%
Amount of borrowings outstanding at end
  of period (in millions) (d) ..........    $   21      $   21          --          --      $   87     $   99
Per-share amount of borrowings
  outstanding at end of period .........    $ 0.93      $ 0.92          --          --      $ 4.01     $ 4.57
Per-share amount of net assets,
  excluding borrowings, at end of
  period ...............................    $ 7.62      $ 7.45          --          --      $14.69     $15.45
Asset coverage ratio (e) ...............       822%        804%         --          --         366%       338%
</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 0.07%, 0.30%, 0.31% AND 0.29% FROM FEDERAL EXCISE TAXES IN FISCAL
     YEARS ENDED OCTOBER 31, 1996, 1995 AND 1994 AND FISCAL YEAR ENDED AUGUST
     31, 1993, RESPECTIVELY.
(d)  SECURITIES PURCHASED ON A WHEN-ISSUED BASIS FOR WHICH LIQUID SECURITIES 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.
(f)  ANNUALIZED.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  16  American Opportunity Income Fund
<PAGE>
Investments in Securities
- ---------------------------------------------------------------------
 
<TABLE>
<CAPTION>
AMERICAN OPPORTUNITY INCOME FUND                                  October 31, 1997
 .........................................................................................
 
                                                            Principal           Market
Description of Security                                       Amount           Value (a)
- ---------------------------------------------------------  ------------      -------------
<S>                                                        <C>               <C>
(PERCENTAGES OF EACH INVESTMENT CATEGORY RELATE TO TOTAL NET ASSETS)
 
U.S. GOVERNMENT AND AGENCY SECURITIES (114.7%):
  U.S. AGENCY MORTGAGE-BACKED SECURITIES (b) (92.3%):
    ADJUSTABLE RATE (2.0%):
      6.58%, FHLMC, COFI, 10/1/19 .......................  $  2,964,710      $   2,969,691
                                                                             -------------
 
    FIXED RATE (79.7%):
      7.00%, FHLMC, 9/1/10 ..............................     1,439,199          1,463,939
      6.00%, FHLMC, 9/1/09 ..............................     4,987,687          4,958,459
      6.50%, FHLMC, 1/1/26 ..............................     2,681,117          2,644,815
      6.50%, FHLMC, 3/1/26 ..............................       115,649            114,083
      6.50%, FHLMC, 4/1/26 ..............................     1,444,902          1,425,338
      6.50%, FHLMC, 4/1/26 ..............................     4,197,385          4,140,552
      6.50%, FHLMC, 4/1/26 ..............................     2,670,020          2,633,868
      7.50%, FHLMC, 8/1/25 ..............................    10,302,462         10,566,411
      7.00%, FHLMC, 9/1/10 ..............................     3,795,498          3,860,742
      6.00%, FHLMC, Series 1648, Class LA, 5/15/23 ......     4,695,000          4,385,975
      6.00%, FHLMC, Series 1699, Class TD, 3/15/24 ......     3,000,000          2,771,460
      7.00%, FNMA, 5/1/26 ...............................     3,770,261          3,785,116
      6.50%, FNMA, 5/1/11 ...............................     3,573,385          3,577,745
      6.50%, FNMA, 5/1/04 ...............................       975,545            977,379
      7.50%, FNMA, 2/1/26 ...............................     1,447,033          1,480,040
      7.00%, FNMA, 4/1/26 ...............................     2,171,657          2,180,213
      6.50%, FNMA, 4/1/11 ...............................     1,756,819          1,758,962
      6.50%, FNMA, 4/1/11 ...............................       845,103            846,134
      6.50%, FNMA, 4/1/11 ...............................     4,339,371          4,344,665
      6.50%, FNMA, 4/1/04 ...............................     4,846,695          4,855,807
      6.50%, FNMA, 4/1/04 ...............................     7,000,000(e)       7,013,090
      7.00%, FNMA, 1/1/08 ...............................     8,500,000(e)       8,614,155
      6.50%, FNMA, Series 1992-169, Class J, 3/25/21 ....     3,000,000          2,925,840
      8.00%, GNMA, 7/15/26 ..............................     3,700,666          3,845,214
      7.50%, GNMA, 1/15/27 ..............................     5,000,000          5,118,750
      7.50%, GNMA, 10/15/27 .............................     5,000,000          5,112,500
      9.00%, GNMA, 11/15/21 .............................     2,836,308          3,060,546
      6.50%, GNMA, 10/15/10 .............................     5,581,860          5,638,907
      7.00%, GNMA, 12/15/10 .............................     4,624,578          4,730,065
      9.00%, GNMA, 4/15/21 ..............................     3,979,378          4,326,340
      9.00%, GNMA, 10/15/22 .............................     2,401,648          2,593,035
</TABLE>
 
SEE ACCOMPANYING NOTES TO INVESTMENTS IN SECURITIES.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  17  American Opportunity Income Fund
<PAGE>
Investments in Securities (continued)
- ---------------------------------------------------------------------
 
AMERICAN OPPORTUNITY INCOME FUND
(CONTINUED)
 
<TABLE>
<CAPTION>
                                                            Principal           Market
Description of Security                                       Amount           Value (a)
- ---------------------------------------------------------  ------------      -------------
<S>                                                        <C>               <C>
      7.50%, GNMA, 1/1/23 ...............................  $  5,000,000(e)   $   5,112,500
                                                                             -------------
                                                                               120,862,645
                                                                             -------------
 
    Z-BOND (10.6%):
      8.17%, FHLMC, Series 1870, Class Z, 1/15/24 .......     5,103,206          4,639,733
      8.61%, FNMA, Series 1994-93, Class Z, 2/25/24 .....     1,326,222          1,386,711
      8.20%, FNMA, Series 1996-35, Class Z, 7/25/26 .....     6,585,180          6,395,856
      8.22%, Vendee Mortgage Trust, Series 1996-1, Class
        1Z, 2/15/26 .....................................     3,937,543          3,645,496
                                                                             -------------
                                                                                16,067,796
                                                                             -------------
 
        Total U.S. Agency Mortgage-Backed Securities  ...                      139,900,132
                                                                             -------------
 
  U.S. GOVERNMENT SECURITIES (22.4%):
      7.50%, U. S. Treasury Bond, 11/15/16 ..............     3,000,000          3,433,020
      6.00%, U. S. Treasury Note, 9/30/98 ...............     7,000,000          7,030,380
      6.13%, U. S. Treasury Note, 9/30/00 ...............     9,000,000(c)       9,100,800
      5.63%, U. S. Treasury Note, 11/30/00 ..............    11,500,000(c)      11,472,630
      5.88%, U. S. Treasury Note, 11/15/99 ..............     3,000,000(c)       3,014,550
                                                                             -------------
                                                                                34,051,380
                                                                             -------------
 
        Total U.S. Government and Agency Securities
          (cost: $168,505,055)  .........................                      173,951,512
                                                                             -------------
 
PRIVATE MORTGAGE-BACKED SECURITIES (b) (1.3%):
  Z-BOND (1.3%):
      8.39%, Pacific Collateralized Mortgage Obligation
        Trust, Series 3, Class Z, 5/1/17
        (cost: $1,967,979) ..............................     1,960,143          2,028,081
                                                                             -------------
 
CORPORATE BONDS (6.3%):
  CONSUMER NON-DURABLES (2.4%):
      Coca-Cola Enterprises, 6.70%, 10/15/36 ............     3,500,000          3,628,135
                                                                             -------------
 
  FINANCIAL SERVICES (2.1%):
      Lehman Brothers Inc., 7.50%, 8/1/26 ...............     3,000,000          3,198,450
                                                                             -------------
</TABLE>
 
SEE ACCOMPANYING NOTES TO INVESTMENTS IN SECURITIES.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  18  American Opportunity Income Fund
<PAGE>
Investments in Securities (continued)
- ---------------------------------------------------------------------
 
AMERICAN OPPORTUNITY INCOME FUND
(CONTINUED)
 
<TABLE>
<CAPTION>
                                                            Principal           Market
Description of Security                                       Amount           Value (a)
- ---------------------------------------------------------  ------------      -------------
<S>                                                        <C>               <C>
  UTILITIES (1.8%):
      Korea Electric Power ADS, 6.38%, 12/1/03 ..........  $  3,000,000      $   2,694,480
                                                                             -------------
 
        Total Corporate Bonds
          (cost: $9,425,549)  ...........................                        9,521,065
                                                                             -------------
SHORT-TERM SECURITIES (4.4%):
      Repurchase agreement with Goldman Sachs, acquired
        on 10/31/97, interest of $3,187, 5.73%, 11/3/97
        (cost: $6,674,000) ..............................     6,674,000(d)       6,674,000
                                                                             -------------
        Total Investments in Securities
          (cost: $186,572,583) (f)  .....................                    $ 192,174,658
                                                                             -------------
                                                                             -------------
</TABLE>
 
NOTES TO INVESTMENTS IN SECURITIES:
(a)  SECURITIES ARE VALUED IN ACCORDANCE WITH PROCEDURES DESCRIBED IN NOTE 2 TO
     THE FINANCIAL STATEMENTS.
(b)  PORTFOLIO ABBREVIATIONS AND DEFINITIONS:
         COFI (11TH DISTRICT) - COST OF FUNDS INDEX OF THE FEDERAL RESERVE'S
          11TH DISTRICT.
         ADJUSTABLE RATE - REPRESENTS SECURITIES THAT PAY INTEREST AT RATES THAT
          INCREASE (DECREASE) WITH AN INCREASE (DECREASE) IN THE SPECIFIED
          INDEX. INTEREST RATES DISCLOSED ARE IN EFFECT ON OCTOBER 31, 1997.
         Z-BOND - REPRESENTS SECURITIES THAT PAY NO INTEREST OR PRINCIPAL DURING
          THEIR INITIAL ACCRUAL PERIODS, BUT ACCRUE ADDITIONAL PRINCIPAL AT
          SPECIFIED RATES. INTEREST RATE DISCLOSED REPRESENTS CURRENT YIELD
          BASED UPON THE COST BASIS AND ESTIMATED TIMING OF FUTURE CASH FLOWS.
         VENDEE - SECURITIES ISSUED THROUGH THE VENDEE LOAN PROGRAM,
          ADMINISTERED AND GUARANTEED AS TO PAYMENT OF PRINCIPAL AND INTEREST BY
          THE VETERANS ADMINISTRATION (VA). THE VA GUARANTEE IS BACKED BY THE
          FULL FAITH AND CREDIT OF THE UNITED STATES GOVERNMENT.
(c)  ON OCTOBER 31, 1997, SECURITIES VALUED AT $21,523,910 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>
$ 16,000,000      9/3/97      5.55%     12/2/97  $ 145,534              (1)
   5,000,000     9/16/97      5.55%    12/16/97     35,458              (2)
- ------------                                     ---------
$ 21,000,000                                     $ 180,992
- ------------                                     ---------
- ------------                                     ---------
</TABLE>
 
*    INTEREST RATE AS OF OCTOBER 31, 1997. RATES ARE BASED ON THE LONDON
     INTERBANK OFFERED RATE (LIBOR) AND RESET QUARTERLY.
NAME OF BROKER AND DESCRIPTION OF COLLATERAL:
         (1) MORGAN STANLEY; U.S. TREASURY NOTE, 5.63%, 11/30/00, $6,400,000 PAR
            U.S. TREASURY NOTE, 6.13%, 9/30/00, $8,350,000 PAR
            U.S. TREASURY NOTE, 5.88%, 11/15/99, $1,600,000 PAR
         (2) MORGAN STANLEY; U.S. TREASURY NOTE, 5.63%, 11/30/00, $5,100,000 PAR
(D)  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.
(E)  ON OCTOBER 31, 1997, THE TOTAL COST OF INVESTMENTS PURCHASED ON A
     WHEN-ISSUED OR FORWARD COMMITTMENT BASIS WAS $20,610,156.
(F)  ON OCTOBER 31, 1997, THE COST OF INVESTMENTS IN SECURITIES FOR FEDERAL
     INCOME TAX PURPOSES WAS $186,572,583. THE AGGREGATE GROSS UNREALIZED
     APPRECIATION AND DEPRECIATION OF INVESTMENTS IN SECURITIES BASED ON THIS
     COST WERE AS FOLLOWS:
 
<TABLE>
      <S>                                   <C>
      GROSS UNREALIZED APPRECIATION ......  $ 5,783,724
      GROSS UNREALIZED DEPRECIATION ......     (181,649)
                                            -----------
        NET UNREALIZED APPRECIATION ......  $ 5,602,075
                                            -----------
                                            -----------
</TABLE>
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  19  American Opportunity Income Fund
<PAGE>
Independent Auditors' Report
- --------------------------------------------------------------------------------
 
THE BOARD OF DIRECTORS AND SHAREHOLDERS
AMERICAN OPPORTUNITY INCOME FUND INC.:
 
We have audited the accompanying statement of assets and liabilities, including
the schedule of investments in securities, of American Opportunity Income Fund
Inc. as of October 31, 1997, 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 October 31, 1997, and the financial
highlights for each of the periods presented in note 8 to the financial
statements. 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. As to securities purchased but not received we request confirmations
from brokers and, where replies are not received, we carry out other appropriate
auditing procedures. 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 Opportunity Income Fund Inc. as of October 31, 1997, the results of its
operations and cash flows for the year then ended, the changes in its net assets
for each of the years in the two-year period ended October 31, 1997, and the
financial highlights for the periods presented in note 8 to the financial
statements, in conformity with generally accepted accounting principles.
 
KPMG Peat Marwick LLP
Minneapolis, Minnesota
December 12, 1997
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  20  American Opportunity Income Fund
<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>
November 27, 1996 ......................  $0.0370
December 18, 1996 ......................   0.0370
January 10, 1997 .......................   0.0370
February 26, 1997 ......................   0.0370
March 26, 1997 .........................   0.0370
April 23, 1997 .........................   0.0370
May 28, 1997 ...........................   0.0370
June 25, 1997 ..........................   0.0370
July 23, 1997 ..........................   0.0370
August 27, 1997 ........................   0.0370
September 24, 1997 .....................   0.0370
October 15, 1997 .......................   0.0370
                                          -------
    Total ..............................  $0.4440
                                          -------
                                          -------
</TABLE>
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  21  American Opportunity Income Fund
<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 T. Bennett .......................  15,934,958        251,906
Jaye F. Dyer ...........................  15,921,151        265,713
William H. Ellis .......................  15,933,808        253,056
Karol D. Emmerich ......................  15,939,781        247,083
Luella G. Goldberg .....................  15,926,188        260,676
David A. Hughey ........................  15,937,831        249,033
George Latimer .........................  15,935,331        251,533
</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 ended October
                   31, 1997. The following votes were cast regarding this
                   matter:
 
<TABLE>
<CAPTION>
   SHARES       SHARES                      BROKER
 VOTED FOR   VOTED AGAINST   ABSTENTIONS   NON-VOTES
 ----------  -------------   -----------   ---------
 <S>         <C>             <C>           <C>
 15,992,894     119,852         74,118        --
</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.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  22  American Opportunity Income Fund
<PAGE>
           Shareholder Update (continued)
- --------------------------------------------------------------------------------
 
                  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 10% premium over the fund's most recently calculated
               net asset value (NAV) per share. 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, 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 10% or more above the NAV, you will receive
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  23  American Opportunity Income Fund
<PAGE>
           Shareholder Update (continued)
- --------------------------------------------------------------------------------
               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
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  24  American Opportunity Income Fund
<PAGE>
           Shareholder Update (continued)
- --------------------------------------------------------------------------------
               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.
 
                  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.
 
- ---------------------------------------------------------------------
 
            1997 Annual Report  25  American Opportunity Income Fund
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                 1997 Annual Report  26  American Opportunity Income Fund

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

                  1997 Annual Report  27  American Opportunity Income Fund

<PAGE>

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

BENCHMARK

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.

DOLLAR-ROLL PROGRAM

The dollar-roll program allows a fund to generate fee income by committing to
pay for securities in the future at today's prices. Participation in the
dollar-roll program increases the amount of assets exposed to market and
interest rate risk, and therefore may, to the extent a fund remains fully
invested, increase its net asset value volatility.

EFFECTIVE DURATION

Effective duration estimates how much the value of a security is expected to
change with a given change in interest rates. Longer effective durations
indicate more sensitivity to changes in interest rates. For example, if interest
rates were to increase by 1%, the market value of a bond with an effective
duration of five years would decrease by about 5%, with all other factors being
constant. It is important to remember that effective duration is based on
certain assumptions and has several limitations. It is most effective as a
measure when interest rate changes are small, rapid and occur equally across all
the different points of the yield curve. In addition, effective duration is
difficult to calculate precisely for bonds with prepayment options, such as
mortgage-backed securities, and can be greatly affected by interest rate
changes.

If a fund has an AGGRESSIVE EFFECTIVE DURATION, it means its managers have set a
longer duration posture in comparison to the fund's benchmark. A fund with a
long effective duration is more sensitive to changing interest rates.

If a fund has a DEFENSIVE EFFECTIVE DURATION, it means its managers have set a
shorter duration posture in comparison to the fund's benchmark, to make the fund
less sensitive to changing interest rates.

If a fund has a NEUTRAL EFFECTIVE DURATION, the duration is approximately the
same as that of its benchmark.


- --------------------------------------------------------------------------------
                  1997 Annual Report  28  American Opportunity Income Fund

<PAGE>

DIRECTORS
- --------------------------------------------------------------------------------
DAVID T. BENNETT, Chairman, Highland Homes, Inc., USL Products, Inc., Kiefer
Built, Inc., of Counsel, Gray, Plant, Mooty, Mooty & Bennett, P.A.
JAYE F. DYER, President, Dyer Management Company
WILLIAM H. ELLIS, Retired President, Piper Jaffray Companies Inc., Piper Capital
Management Incorporated
KAROL D. EMMERICH, President, The Paraclete Group
LUELLA G. GOLDBERG, Director, TCF Financial, ReliaStar Financial Corp., Hormel
Foods Corp.
DAVID A. HUGHEY, Retired Executive Vice President and Chief Administrative
Officer of Dean Witter InterCapital Inc. and Dean Witter Trust Co.
GEORGE LATIMER, Chief Executive Officer, National Equity Funds


OFFICERS
- --------------------------------------------------------------------------------
WILLIAM H. ELLIS, Chairman of the Board
PAUL A. DOW, President
ROBERT H. NELSON, Vice President and Treasurer
SUSAN SHARP MILEY, Secretary

INVESTMENT ADVISOR
- --------------------------------------------------------------------------------
PIPER CAPITAL MANAGEMENT INCORPORATED
222 South Ninth Street, Minneapolis, MN  55402-3804

CUSTODIAN, ACCOUNTING AND TRANSFER AGENT
- --------------------------------------------------------------------------------
INVESTORS FIDUCIARY TRUST COMPANY
801 Pennsylvania, Kansas City, MO  64105-1716

INDEPENDENT AUDITORS
- --------------------------------------------------------------------------------
KPMG PEAT MARWICK LLP
4200 Norwest Center, Minneapolis, MN  55402

LEGAL COUNSEL
- --------------------------------------------------------------------------------
DORSEY & WHITNEY LLP
220 South Sixth Street, Minneapolis, MN  55402


FOR MORE INFORMATION
- --------------------------------------------------------------------------------

BY PHONE [cad 157]Graphic[cad 179]
- --------------------------------------------------------------------------------
800 866-7778

FOR GENERAL INFORMATION
press 5, our Mutual Fund Services representatives are ready to answer your
questions.

TO ORDER LITERATURE
press 5, ask a service representative to mail you additional literature,
including a Quarterly Update. You can also request to be put on a mailing list
to receive this information automatically each quarter.

BY MAIL [cad 157]Graphic[cad 179]
- --------------------------------------------------------------------------------
Piper Capital Management
Attn: Mutual Fund Services
222 South Ninth Street
Minneapolis, MN 55402-3804

In an effort to reduce costs to our shareholders, we have implemented a process
to reduce duplicate mailings of the fund's shareholder reports. This
householding process should allow us to mail one report to each address where
one or more registered shareholders with the same last name reside. If you would
like to have additional reports mailed to your address, please call our Mutual
Fund Services area at 800 866-7778, or mail a request to us.

ON-LINE [cad 157]Graphic[cad 179]
- --------------------------------------------------------------------------------
http://www.piperjaffray.com/


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