AMERICAN OPPORTUNITY INCOME FUND INC
N-30D, 1995-12-22
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<PAGE>

    AMERICAN
   OPPORTUNITY
     INCOME                                      [PHOTO]
      FUND
  *     *     *
  ANNUAL REPORT
      1995


<PAGE>

                                 TABLE OF CONTENTS


AVERAGE ANNUALIZED TOTAL RETURNS ....  1
LETTER TO SHAREHOLDERS ..............  2
FINANCIAL STATEMENTS AND NOTES ......  7
INVESTMENTS IN SECURITIES ........... 19
INDEPENDENT AUDITORS' REPORT ........ 24
FEDERAL TAX INFORMATION ............. 25
SHAREHOLDER UPDATE .................. 26


AMERICAN OPPORTUNITY INCOME FUND
This fund's primary objective is to obtain high current income. Its secondary
objective is capital appreciation. To realize its objectives, the fund
invests principally in 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 sale-forward (dollar-roll) program.
Investments in mortgage-backed derivative securities and the purchase of
securities through the sale-forward program may cause the fund's net asset
value to fluctuate to a greater extent than would be expected from interest
rate movements alone. As with other mutual funds, there can be no assurance
the fund will achieve its objectives. Since its inception on September 29,
1989, the fund has been rated AA by Standard & Poor's Corporation (S&P).*
Fund shares trade on the New York Stock Exchange under the symbol OIF.

*THE FUND IS RATED AAf, WHICH MEANS INVESTMENTS IN THE FUND HAVE AN OVERALL
CREDIT QUALITY OF AA. CREDIT QUALITIES ARE ASSESSED BY STANDARD & POOR'S
MUTUAL FUNDS RATING GROUP. S&P DOES NOT EVALUATE THE MARKET RISK OF AN
INVESTMENT WHEN ASSIGNING A CREDIT RATING. SEE STANDARD & POOR'S CORPORATE
AND MUNICIPAL RATING DEFINITIONS FOR AN EXPLANATION OF AA.

THE FUND HAS ALSO BEEN GIVEN A MARKET RISK RATING BY S&P, WHICH WE CANNOT
PUBLISH DUE TO NASD REGULATIONS. RISK RATINGS EVALUATE VARIOUS INVESTMENT
RISKS THAT CAN AFFECT THE PERFORMANCE OF A BOND FUND AND INDICATE THE FUND'S
OVERALL STABILITY AND SENSITIVITY TO CHANGING MARKET CONDITIONS. THESE
RATINGS ARE AVAILABLE BY CALLING S&P AT 1-800-424-FUND.

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.


<PAGE>

                   AVERAGE ANNUALIZED TOTAL RETURNS

PERIODS ENDED OCTOBER 31, 1995

[GRAPH]

AMERICAN OPPORTUNITY INCOME FUND'S AVERAGE ANNUALIZED TOTAL RETURN FIGURES 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, 1995, WERE
2.16%, 7.56% AND 6.13%, RESPECTIVELY. THESE FIGURES ALSO ASSUME DISTRIBUTIONS
WERE REINVESTED AND DO NOT REFLECT SALES CHARGES.

THE SALOMON BROTHERS MORTGAGE INDEX IS AN UNMANAGED INDEX OF MORTGAGE
SECURITIES WHICH HAVE AN AVERAGE LIFE OF ONE YEAR OR MORE, ARE RATED BBB- OR
HIGHER BY STANDARD & POOR'S OR Baa3 OR HIGHER BY MOODY'S, AND HAVE A
PRINCIPAL AMOUNT OF AT LEAST $1 BILLION.


                                    1

<PAGE>

                      AMERICAN OPPORTUNITY INCOME FUND

[PHOTO]

WORTH BRUNTJEN
IS PRIMARILY RESPONSIBLE FOR THE MANAGEMENT
OF AMERICAN OPPORTUNITY INCOME FUND.
HE HAS 28 YEARS OF FINANCIAL EXPERIENCE.

[PHOTO]

MARIJO GOLDSTEIN
ASSISTS WITH THE MANAGEMENT OF
AMERICAN OPPORTUNITY INCOME FUND.
SHE HAS 10 YEARS OF FINANCIAL EXPERIENCE.

December 15, 1995

Dear Shareholders:

FOR THE ONE-YEAR PERIOD ENDED OCTOBER 31, 1995, AMERICAN OPPORTUNITY INCOME
FUND SHOWED A NET ASSET VALUE TOTAL RETURN OF 20.98%, WHICH INCLUDES
REINVESTED DISTRIBUTIONS BUT NOT SALES CHARGES.* The fund's return compares
to a 14.54% return for the Salomon Brothers Mortgage Index during this
period. While the fund's shares continue to trade at a discount to net asset
value, its market price has shown slight improvement as the fund's net asset
value has stabilized. (See page 5 for information on premium vs. discount.)
The fund's market price on October 31 was $6.125. For the one-year period
ended October 31, 1995, the fund's total return based on market price was
2.16%, including reinvested distributions but not sales charges.

THE MARKET ENVIRONMENT DURING THE PAST YEAR PLAYED A MAJOR ROLE IN THE FUND'S
STRONG ONE-YEAR PERFORMANCE. Interest rates have declined since the beginning
of 1995 as reports indicated slowing economic growth. As a result, bond
prices in general appreciated. The fund's performance during the past year
was further strengthened by its holdings of certain mortgage-backed
derivative securities, such as principal-only, inverse interest-only and
inverse floating rate securities, which rallied from the lows they
experienced in 1994. Because of their relatively long effective durations,
these mortgage-backed



* 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.

                                    2


<PAGE>

                    AMERICAN OPPORTUNITY INCOME FUND


PORTFOLIO COMPOSITION
OCTOBER 31, 1995


[GRAPH]


derivatives performed well in 1995's declining interest rate environment.
Remember, however, securities with longer effective durations generally are
more volatile and will underperform securities with shorter effective
durations in a rising interest rate environment. In addition, the fund's
holdings of mortgage-backed derivatives account for the fund's outperformance
when compared to the Salomon index, which does not contain such securities.
As discussed below, we have taken advantage of the current market environment
by selling some of the fund's mortgage-backed derivative securities during
the past several months. As a result of these sales, the fund's effective
duration has been reduced to 4.15 years as of October 31, 1995. This compares
to an effective duration of 3.4 years for the Salomon index. (See page 6 for
information on effective duration.)

AS MENTIONED ABOVE, DURING THE PAST SEVERAL MONTHS WE HAVE REDUCED THE FUND'S
NET ASSET VALUE VOLATILITY BY SELLING SOME OF THESE MORTGAGE-BACKED
DERIVATIVE SECURITIES AS ATTRACTIVE MARKET OPPORTUNITIES APPEARED. As
interest rates fell, the fund benefited from the appreciation of these
securities as they increased in value following their lows in 1994. As of
October 31, 1995, we had sold all of the fund's interest-only and
principal-only securities and

                                       3

<PAGE>

                      AMERICAN OPPORTUNITY INCOME FUND


DISTRIBUTION HISTORY PER SHARE
SINCE INCEPTION (SEPTEMBER 1989) THROUGH
OCTOBER 31, 1995

Monthly Income
Dividends Paid ........................ 72

Total Monthly
Income Dividends ................... $6.80

Capital Gains
Distributions Paid ..................... 8

Total Capital
Gains Distributions ................ $1.41

TOTAL DISTRIBUTIONS ................ $8.21


NET ASSET VALUE SUMMARY PER SHARE

Initial Offering Price (9/29/89) .. $10.00

Initial Offering and
Underwriting Expenses ............. -$0.73

Accumulated Realized
Losses at 10/31/95 ................ -$2.59

 Subtotal .......................... $6.68

Undistributed Net Investment
Income/Dividend Reserve
at 10/31/95 ........................ $0.22

Unrealized Depreciation
on Investments at 10/31/95 ........ -$0.24

NET ASSET VALUE ON 10/31/95 .......  $6.66


had reduced the fund's position in Z-tranches, inverse interest-only
securities and inverse floating rate securities to 22% of total assets. On
October 31, 1994, these types of securities represented 51% of total assets.
While we are comfortable with the current level of volatility in the fund, we
may sell additional mortgage-backed derivative securities in the fund should
attractive opportunities appear.

IN OUR EFFORTS TO DEVELOP A PORTFOLIO STRUCTURE THAT IS LESS VOLATILE, WE
REPLACED THE MORTGAGE-BACKED DERIVATIVES WITH FIXED RATE MORTGAGE-BACKED
SECURITIES. These fixed rate mortgages represented 64% of the fund's total
assets at the end of October. Given current market conditions, we believe
this increased exposure to fixed rate mortgage-backed securities is
compatible with our goals of providing more consistent returns with less
volatility.

AS STATED IN THE APRIL SEMIANNUAL REPORT, WE SUSPENDED THE USE OF THE
SALE-FORWARD PROGRAM TO FURTHER REDUCE VOLATILITY IN THE FUND. However,
having substantially lowered the fund's volatility by reducing its exposure
to mortgage-backed derivative securities, we have begun to re-evaluate the
sale-forward program. Because this program has historically provided a strong
level of income in the fund, we will consider reinstating it in the future.

                                     4

<PAGE>



                      AMERICAN OPPORTUNITY INCOME FUND

PREMIUM VS. DISCOUNT
The underlying value of a fund's securities and other assets, minus its
liabilities, is the fund's "net asset value." Closed-end funds may trade in the
market at a price that is equal to, above, or below this net asset value. Shares
are trading at a "premium" when investors purchase or sell shares in the market
at a price that is greater than the shares' net asset value. Conversely, when
investors purchase or sell shares in the market at a price that is lower than
the shares' net asset value, they are said to be trading at a "discount."


BECAUSE THE FUND'S ABILITY TO GENERATE INCOME HAS DECLINED DURING THE PAST
YEAR DUE TO THE RESTRUCTURING OF THE PORTFOLIO, INVESTORS SHOULD EXPECT A
REDUCTION IN THE FUND'S MONTHLY DIVIDEND LEVEL IN THE COMING YEAR. In July,
we reduced the monthly dividend from 8.33 cents per share to its current
monthly dividend of 7 cents per share. Despite this adjustment, we continue
to rely on the fund's undistributed net investment income (dividend reserve)
to maintain the current monthly dividend. Because of a reduced earning
capacity and a declining dividend reserve, the fund's Dividend Committee will
begin making gradual changes to the monthly dividend to bring it in line with
the fund's monthly earnings. As of October 31, the fund's monthly earning
rate, based on a three-month average, was 4.16 cents per share and its
dividend reserve was approximately 22 cents per share. Keep in mind that the
dividend reserve is reflected in the fund's net asset value and any reduction
in this amount will reduce the fund's net asset value penny for penny.

WHILE REDUCING THE FUND'S VOLATILITY WAS OUR MAIN GOAL DURING THE PAST YEAR,
WE ALSO EXPERIENCED AN INCREASED NET ASSET VALUE. Even though the fund's net
asset value did increase rather quickly during the first half of the year -
from $6.12 on December 31, 1994, to $6.70 on June 30, 1995 - it's important
to realize that the fund has been changed substantially and investors should
not expect dramatic increases in the future. Going forward, however, our
efforts to make the fund less volatile should reduce the impact that future
interest rate changes would have on the fund's net asset value.

                                    5

<PAGE>


                     AMERICAN OPPORTUNITY INCOME FUND

EFFECTIVE DURATION

Effective duration estimates the interest rate risk of a security, in other
words how much the value of the security is expected to change with a given
change in interest rates. The longer a security's effective duration, the
more sensitive its price is 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 understand that, while a valuable measure, effective
duration is based upon certain assumptions and has several limitations. It is
most effective as a measure of interest rate risk 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, because the
calculation requires assumptions about prepayment rates. For example, when
interest rates go down, homeowners may prepay their mortgages at a higher
rate than assumed in the initial effective duration calculation, thereby
shortening the effective duration of the fund's mortgage-backed securities.
Conversely, if rates increase, prepayments may decrease to a greater extent
than assumed, extending the effective duration of such securities. For these
reasons, the effective durations of funds that invest a significant portion
of their assets in mortgage-backed securities can be greatly affected by
changes in interest rates.

WE BELIEVE THE FUND'S CURRENT STRUCTURE SHOULD ENABLE US TO PROVIDE A FUND
WITH LOWER VOLATILITY AND MORE CONSISTENT RETURNS. However, because we intend
to maintain a smaller position of mortgage-backed derivative securities (such
as inverse floaters, interest-only, principal-only and inverse interest-only
securities) than we have in the past, it's unlikely the fund will experience
either the dramatic growth it achieved in previous years or the poor
performance of 1994. Ultimately, we feel this new structure will provide
investors with attractive long-term total return benefits.

YOUR CONTINUED SUPPORT THROUGHOUT THE PREVIOUS YEAR IS APPRECIATED, AND WE
ARE PLEASED THAT 1995 HAS BEEN A MORE FAVORABLE YEAR FOR INVESTORS. We remain
committed to providing you with quality service and look forward to helping
you achieve your financial goals.

Sincerely,

/s/ Worth Bruntjen

Worth Bruntjen
Portfolio Manager

                                  6

<PAGE>
- --------------------------------------------------------------------------------
                              FINANCIAL STATEMENTS

STATEMENT OF ASSETS AND LIABILITIES
OCTOBER 31, 1995

<TABLE>
<S>                                                           <C>
ASSETS:
  Investments in securities at market value* (note 2)
  (including a repurchase agreement of $2,441,000) ....... $    152,253,195
  Cash in bank on demand deposit ...........................        144,169
  Receivable for investment securities sold ................      6,728,298
  Accrued interest receivable ..............................      1,336,083
                                                              ----------------
      Total assets .........................................    160,461,745
                                                              ----------------

LIABILITIES:
  Payable for investment securities purchased ..............      7,481,250
  Payable for fund shares retired ..........................         73,099
  Accrued investment management fee ........................         71,736
  Accrued administrative fee ...............................         25,877
                                                              ----------------
      Total liabilities ....................................      7,651,962
                                                              ----------------
Net assets applicable to outstanding capital stock ....... $    152,809,783
                                                              ----------------
                                                              ----------------

REPRESENTED BY:
  Capital stock - authorized 250 million shares of $0.01 par
    value; outstanding, 22,929,273 shares ................ $        229,293
  Additional paid-in capital ...............................    211,164,488
  Undistributed net investment income ......................      4,961,408
  Accumulated net realized loss on investments .............    (58,058,963)
  Unrealized depreciation of investments ...................     (5,486,443)
                                                              ----------------
      Total - representing net assets applicable to
        outstanding capital stock ........................ $    152,809,783
                                                              ----------------
                                                              ----------------

Net asset value per share of outstanding capital stock ... $           6.66
                                                              ----------------
                                                              ----------------

* Investments in securities at identified cost ........... $    157,739,638
                                                              ----------------
                                                              ----------------
</TABLE>

SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.

                                       7
<PAGE>
- --------------------------------------------------------------------------------
                              FINANCIAL STATEMENTS

STATEMENT OF OPERATIONS
FOR THE YEAR ENDED OCTOBER 31, 1995

<TABLE>
<S>                                                           <C>
INCOME:
  Interest ............................................... $     13,096,886
  Fee income (note 2) ......................................        281,623
                                                              ----------------
      Total investment income ..............................     13,378,509
                                                              ----------------

EXPENSES (NOTE 3):
  Investment management fee ................................        898,325
  Administrative fee .......................................        296,292
  Custodian, accounting and transfer agent fees ............        130,480
  Reports to shareholders ..................................         52,696
  Directors' fees ..........................................         11,099
  Audit and legal fees .....................................         38,824
  Federal excise taxes (note 2) ............................        435,133
  Other expenses ...........................................         52,149
                                                              ----------------
      Total expenses .......................................      1,914,998
  Less expenses paid indirectly ............................         (5,509)
                                                              ----------------

      Total net expenses ...................................      1,909,489
                                                              ----------------

      Net investment income ................................     11,469,020
                                                              ----------------

NET REALIZED AND UNREALIZED GAINS (LOSSES) ON INVESTMENTS:
  Net realized loss on investments (note 4) ................    (23,480,082)
  Net change in unrealized appreciation or depreciation of
    investments ............................................     40,289,273
                                                              ----------------
    Net gain on investments ................................     16,809,191
                                                              ----------------

      Net increase in net assets resulting from
        operations ....................................... $     28,278,211
                                                              ----------------
                                                              ----------------
</TABLE>

SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.

                                       8
<PAGE>
- --------------------------------------------------------------------------------
                              FINANCIAL STATEMENTS

STATEMENTS OF CHANGES IN NET ASSETS

<TABLE>
<CAPTION>
                                                                 Year Ended         Year Ended
                                                                  10/31/95           10/31/94
                                                              ----------------   ----------------
<S>                                                           <C>                <C>
OPERATIONS:
  Net investment income .................................. $     11,469,020         19,451,846
  Net realized loss on investments .........................    (23,480,082)       (25,183,321)
  Net change in unrealized appreciation or depreciation of
    investments ............................................     40,289,273        (54,618,467)
                                                              ----------------   ----------------

    Net increase (decrease) in net assets resulting from
      operations ...........................................     28,278,211        (60,349,942)
                                                              ----------------   ----------------

DISTRIBUTIONS TO SHAREHOLDERS:
  From net investment income ...............................    (22,930,077)       (32,683,779)
  In excess of net realized gains (note 2) .................             --         (2,221,393)
                                                              ----------------   ----------------
    Total distributions ....................................    (22,930,077)       (34,905,172)
                                                              ----------------   ----------------

CAPITAL SHARE TRANSACTIONS:
  Proceeds from issuance of 398,296 and 1,004,985 shares for
    the dividend reinvestment plan, respectively ...........      2,706,941          8,977,681
  Payments for retirement of 234,400 shares ................     (1,419,719)                --
                                                              ----------------   ----------------
    Increase in net assets from capital share
      transactions .........................................      1,287,222          8,977,681
                                                              ----------------   ----------------
      Total increase (decrease) in net assets ..............      6,635,356        (86,277,433)

Net assets at beginning of year ............................    146,174,427        232,451,860
                                                              ----------------   ----------------

Net assets at end of year ................................ $    152,809,783        146,174,427
                                                              ----------------   ----------------
                                                              ----------------   ----------------

Undistributed net investment income ...................... $      4,961,408         13,939,581
                                                              ----------------   ----------------
                                                              ----------------   ----------------
</TABLE>

SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.

                                       9
<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. Shares of
                the fund are listed on the New York Stock Exchange under the
                symbol OIF.
(2) SUMMARY OF
    SIGNIFICANT
    ACCOUNTING
    POLICIES
                INVESTMENTS IN SECURITIES
                The values of fixed income securities are determined using
                pricing services or prices quoted by independent brokers.
                Exchange-listed options are valued at the last sale price, and
                open financial futures contracts are valued at the last
                settlement price. Foreign currency forward contracts are valued
                at the current cost of covering the offsetting contract. When
                market quotations are not readily available, securities are
                valued at fair value according to methods selected in good faith
                by the board of directors. Short-term securities with maturities
                of 60 days or less are valued at amortized cost which
                approximates market value.

                Securities transactions are accounted for on the date the
                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 computed on
                a level-yield basis, is accrued daily.

                OPTION TRANSACTIONS
                For hedging purposes, the fund may buy and sell put and call
                options, write covered call options on portfolio securities and
                write cash-secured puts. The risk in writing a call option is
                that the fund gives up the opportunity of profit if the market
                price of the security increases. The risk in writing a put
                option is the fund may incur a loss if the market price of the
                security decreases and the option is exercised. The risk in
                buying an option is the fund pays a premium whether or not the
                option is exercised. The fund also has the additional risk of
                not being able to enter into a closing transaction if a liquid
                secondary market does not exist. The fund may also write
                over-the-counter options where the completion of the obligation
                is dependent upon the credit standing of the other party.

                Option contracts are valued daily, and unrealized appreciation
                or depreciation is recorded. The fund will realize a gain or
                loss upon expiration or closing of the option transaction. When
                an option is

                                       10
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
                exercised, the proceeds on the sale of a written call option,
                the purchase cost for a written put option, or the cost of a
                security for a purchased put or call option, is adjusted by the
                amount of premium received or paid.

                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.

                FOREIGN TRANSACTIONS AND CURRENCY TRANSLATION
                The books and records of the fund are maintained in U.S.
                dollars. The market value of securities and other assets and
                liabilities that are denominated in foreign currencies are
                translated into U.S. dollar amounts at current exchange rates at
                the end of the period. Purchases and sales of securities, income
                and expenses are translated at exchange rates on the respective
                dates of such transactions. It is not practical to identify the
                portion of each amount shown in the fund's statement of
                operations under the caption "realized and unrealized gains
                (losses) on investments" that arises from changes in foreign
                currency exchange rates.

                The fund also may enter into forward foreign currency exchange
                contracts for operational and hedging purposes. The net U.S.
                dollar value of foreign currency underlying all contractual
                commitments held by the fund and the resulting unrealized
                appreciation or depreciation are determined using foreign
                currency exchange rates

                                       11
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
                from an independent pricing service. The fund is subject to the
                credit risk that the other party will not complete the
                obligations of the contract.

                INTEREST RATE TRANSACTIONS
                To preserve a return or spread on a particular investment or
                portion of its portfolio or for other non-speculative purposes,
                the fund may enter into various hedging transactions, such as
                interest rate swaps and the purchase of interest rate caps and
                floors. Interest rate swaps involve the exchange of commitments
                to pay or receive interest, e.g., an exchange of floating rate
                payments for fixed rate payments. The purchase of an interest
                rate cap entitles the purchaser, to the extent that a specified
                index exceeds a predetermined interest rate, to receive payments
                of interest on a contractually based notional principal amount
                from the party selling the interest rate cap. The purchase of an
                interest rate floor entitles the purchaser, to the extent that a
                specified index falls below a predetermined interest rate, to
                receive payments of interest on a contractually based notional
                principal amount from the party selling the interest rate floor.

                If forecasts of interest rates and other market factors are
                incorrect, investment performance will diminish compared to what
                performance would have been if these investment techniques were
                not used. Even if the forecasts are correct, there is risk that
                the positions may correlate imperfectly with the asset or
                liability being hedged. Other risks of entering into these
                transactions are that a liquid secondary market may not always
                exist, or that the other party to the transaction may not
                perform.

                For interest rate swaps, caps and floors, the fund accrues
                weekly, as an increase or decrease to interest income, the
                current net amount due to or owed by the fund. Interest rate
                swaps, caps and floors are valued from prices quoted by
                independent brokers. These valuations represent the present
                value of all future cash settlement amounts based upon implied
                forward interest rates.

                SECURITIES PURCHASED ON A WHEN-ISSUED BASIS
                Delivery and payment for securities that have been purchased by
                the fund on a forward-commitment or when-issued basis can take
                place a month or more after the transaction date. During this
                period, such

                                       12
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
                securities do not earn interest, are subject to market
                fluctuation and may increase or decrease in value prior to their
                delivery. The fund maintains, in a segregated account 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 NAV to the extent the fund makes such
                purchases while remaining substantially fully invested. As of
                October 31, 1995, the fund had no outstanding when-issued
                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 for
                delivery in the current month and simultaneously contracts with
                the same 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, 1995, such fees earned by the fund amounted to $281,623.

                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. However, the fund incurred federal excise
                taxes of $435,133 or $0.019 per share on income retained by the
                fund during the excise tax year ended December 31, 1994. On
                November 30, 1995, the fund made a determination to retain a
                portion of its taxable income for the 1995 excise tax year and
                pay an excise tax on the undistributed amount.

                Net investment income and net realized gains (losses) may differ
                for financial statement and tax purposes primarily because of
                the non-deductibility of excise tax payments for purposes of
                computing taxable income, differences in amortization policies
                for notional principal contracts, recognition of losses deferred
                due to "wash sale" and "straddle" transactions and the timing of
                recognition of income on certain interest-only and
                principal-only securities. The character of distributions made
                during the year from net investment income or net realized gains
                may also differ from their ultimate characterization

                                       13
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
                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 (losses) were recorded by the fund. The effect on dividend
                distributions of certain book-to-tax differences is presented as
                an "excess distribution" in the statement of changes in net
                assets.

                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
                $2,482,884, increase accumulated net realized losses on
                investments by $2,047,751 and decrease additional paid-in
                capital by $435,133.

                DISTRIBUTIONS
                The fund will pay monthly distributions from net investment
                income, and realized capital gains, if any, will be distributed
                on at least an annual basis. 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. However, if the market price
                exceeds the net asset value by 10% or more, the fund will issue
                new shares at a discount of as much as 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 and
                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 the daily market
                value of the collateral is in excess of the repurchase amount in
                the event of default.

                                       14
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS

(3) EXPENSES
                The fund has entered into the following agreements with Piper
                Capital Management Incorporated (the adviser and administrator):
                The investment advisory agreement provides the adviser with a
                monthly investment management fee in an amount equal to the sum
                of 0.01667% of the average weekly net assets of the fund during
                the month (approximately 0.20% on an annual basis) 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. Such monthly investment management fee shall
                not exceed in the aggregate 0.0604% of the fund's average weekly
                net assets during the month (approximately 0.725% on an annual
                basis). For its fee, the adviser will provide investment advice
                and, in general, conduct 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 certain reporting, regulatory and
                record-keeping services for the fund.

                In addition to the investment management fee and administrative
                fee, the fund is responsible for paying most other operating
                expenses including outside directors' fees and expenses,
                custodian fees, registration fees, printing and shareholder
                reporting expenses, transfer agent fees and expenses, legal
                fees, auditing and accounting fees, taxes, insurance, interest
                and other miscellaneous expenses.

                Expenses paid indirectly represent a reduction of custodian fees
                for earnings on cash balances maintained with the custodian by
                the Fund.

(4) SECURITIES
    TRANSACTIONS
                Cost of purchases and proceeds from sales of securities (other
                than short-term securities) aggregated $210,492,776 and
                $221,246,936, respectively, for the year ended October 31, 1995.
                During the year ended October 31, 1995, the fund paid no
                brokerage commissions to Piper Jaffray Inc., an affiliated
                broker.

                                       15
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS

(5) CAPITAL LOSS
    CARRYOVER
                For federal income tax purposes, the fund had capital loss
                carryovers of $58,006,703 on October 31, 1995, which, if not
                offset by subsequent capital gains, will expire in 2001 through
                2003. It is unlikely the board of directors will authorize a
                distribution of any net realized capital gains until the
                available capital loss carryover has been offset or expires.
(6) RETIREMENT OF
    FUND SHARES
                The fund's board of directors has approved a plan to repurchase
                shares of the fund in the open market and retire those shares.
                Repurchases may only be made when the previous day's closing
                market price was trading at a discount from net asset value.
                Daily repurchases are limited to 25% of the previous four weeks
                average daily trading volume on the New York Stock Exchange.
                Under the current plan, cumulative repurchases in the fund
                cannot exceed 3% of the total shares originally issued. The
                board of directors will review the plan quarterly and may change
                the amount which may be repurchased. The plan was last reviewed
                and reapproved by the board of directors on August 18, 1995.
                Pursuant to the plan, the fund has cumulatively repurchased and
                retired 234,400 shares as of October 31, 1995, which represents
                1.15% of the shares originally issued.

(7) PENDING
    LITIGATION
                An amended complaint purporting to be a class action was filed
                on September 7, 1995, in the United States Court for the
                District of Minnesota against the fund, seven other closed-end
                investment companies for which Piper Capital Management
                Incorporated acts as investment adviser, Piper Jaffray Companies
                Inc., Piper Jaffray Inc., Piper Capital Management Incorporated
                and certain associated individuals. The compliant alleges, among
                other things, violations of federal and state securities and
                other laws. Damages are being sought in an unspecified amount.
                The Fund intends to defend this lawsuit vigorously. Although it
                is impossible to predict the outcome, management believes, based
                on the facts currently available, that there will be no material
                adverse effect on the financial results of the fund.

                                       16
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS

(8) FINANCIAL
    HIGHLIGHTS
                Per-share data for a share of capital stock outstanding
                throughout each period and selected information for the period
                is as follows:

<TABLE>
<CAPTION>
                                                                          Two
                                                 Year        Year       Months       Year        Year        Year
                                                 Ended       Ended       Ended       Ended       Ended       Ended
                                               10/31/95    10/31/94    10/31/93     8/31/93     8/31/92     8/31/91
                                               ---------   ---------   ---------   ---------   ---------   ---------
<S>                                            <C>         <C>         <C>         <C>         <C>         <C>
Net asset value, beginning of period ...... $    6.42       10.68       10.88       11.33        9.81        9.13
                                               ---------   ---------   ---------   ---------   ---------   ---------
Operations:
  Net investment income .....................    0.49        0.85        0.34        1.71        1.49        1.01
  Net realized and unrealized gains (losses)
    on investments ..........................    0.75       (3.53)      (0.37)      (0.02)       1.35        0.80
                                               ---------   ---------   ---------   ---------   ---------   ---------
    Total from operations ...................    1.24       (2.68)      (0.03)       1.69        2.84        1.81
                                               ---------   ---------   ---------   ---------   ---------   ---------
Distributions to shareholders:
  From net investment income ................   (1.00)      (1.48)      (0.17)      (1.22)      (1.08)      (1.05)
  In excess of net realized gains ...........      --       (0.10)         --          --          --          --
  From net realized gains ...................      --          --          --       (0.92)      (0.24)      (0.08)
                                               ---------   ---------   ---------   ---------   ---------   ---------
    Total distributions to shareholders .....   (1.00)      (1.58)      (0.17)      (2.14)      (1.32)      (1.13)
                                               ---------   ---------   ---------   ---------   ---------   ---------
Net asset value, end of period ............ $    6.66        6.42       10.68       10.88       11.33        9.81
                                               ---------   ---------   ---------   ---------   ---------   ---------
                                               ---------   ---------   ---------   ---------   ---------   ---------
Per-share market value, end
  of period ............................... $    6.13        7.00       11.63       11.63       11.50       10.25
                                               ---------   ---------   ---------   ---------   ---------   ---------
                                               ---------   ---------   ---------   ---------   ---------   ---------
Total investment return, net asset
  value+ ....................................   20.98%     (27.61%)     (0.29%)     17.30%      30.83%      20.99%
Total investment return, market value ** ....    2.16%     (28.77%)      1.43%      21.82%      26.40%      26.15%
Net assets at end of period
  (in millions) ........................... $     153         146         232         237         239         206
Ratio of expenses to average weekly net
  assets* ...................................    1.29%       1.39%       1.10%++     1.33%       1.15%       1.15%
Ratio of net investment income to average
  weekly net assets .........................    7.74%      10.73%      19.11%++    15.83%      14.36%      10.64%
Portfolio turnover rate (excluding short-term
  securities) ...............................     139%        169%         21%        104%         92%        115%
Amount of borrowings outstanding at end of
  period (in millions) TRIANGLE  .......... $      --          --          87          99          72          77
Per-share amount of borrowings outstanding at
  end of period ........................... $      --          --        4.01        4.57        3.43        3.64
Per-share amount of net assets, excluding
  borrowings, at end of period ............ $      --          --       14.69       15.45       14.76       13.45
Asset coverage ratio*** .....................      --          --         366%        338%        431%        369%
</TABLE>

SEE FOOTNOTES TO FINANCIAL HIGHLIGHTS ON FOLLOWING PAGE.

                                       17
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS

(8) FINANCIAL HIGHLIGHTS (CONTINUED)

*   INCLUDES 0.30% IN FISCAL 1995, 0.31% IN FISCAL 1994, 0.29% IN THE YEAR ENDED
    AUGUST 31, 1993 AND 0.05% IN FISCAL 1992 FROM FEDERAL EXCISE TAXES.
    BEGINNING IN FISCAL 1995, THE EXPENSE RATIO REFLECTS THE EFFECT OF GROSS
    EXPENSES PAID INDIRECTLY BY THE FUND. PRIOR PERIOD EXPENSE RATIOS HAVE NOT
    BEEN ADJUSTED.
**  BASED ON THE CHANGE IN MARKET PRICE OF A SHARE DURING THE PERIOD AND ASSUMES
    REINVESTMENT OF DISTRIBUTIONS AT ACTUAL PRICES PURSUANT TO THE FUND'S
    DIVIDEND REINVESTMENT PLAN.
*** REPRESENTS NET ASSETS, EXCLUDING BORROWINGS, AT END OF PERIOD DIVIDED BY
    BORROWINGS OUTSTANDING AT END OF PERIOD.
+  BASED ON THE CHANGE IN NET ASSET VALUE OF A SHARE DURING THE PERIOD AND
   ASSUMES REINVESTMENT OF DISTRIBUTIONS AT NET ASSET VALUE.
++  ADJUSTED TO AN ANNUAL BASIS.
TRIANGLE   SECURITIES PURCHASED ON A WHEN-ISSUED BASIS FOR WHICH LIQUID,
           HIGH-GRADE DEBT OBLIGATIONS ARE MAINTAINED IN A SEGREGATED ACCOUNT
           ARE NOT CONSIDERED BORROWINGS. SEE FOOTNOTE 2 IN THE NOTES TO
           FINANCIAL STATEMENTS.

(9) QUARTERLY DATA (UNAUDITED)

DOLLAR AMOUNTS

<TABLE>
<CAPTION>
                                                    Net Realized
                                                         and       Net Increase
                                                     Unrealized    in Net Assets  Distributions
                             Total         Net          Gains        Resulting      from Net
                          Investment   Investment    (Losses) on       from        Investment
                            Income       Income      Investments    Operations       Income
                          -----------  -----------  -------------  -------------  -------------
<S>                       <C>          <C>          <C>            <C>            <C>
January 31, 1995      $     3,334,836    2,548,797      (888,136)     1,660,661     (6,856,592)
April 30, 1995              3,361,165    2,984,607     7,804,320     10,788,927     (5,779,621)
July 31, 1995               3,458,164    3,067,683     7,649,634     10,717,317     (5,457,206)
October 31, 1995            3,224,344    2,867,933     2,243,373      5,111,306     (4,836,658)
                          -----------  -----------  -------------  -------------  -------------
                      $    13,378,509   11,469,020    16,809,191     28,278,211    (22,930,077)
                          -----------  -----------  -------------  -------------  -------------
                          -----------  -----------  -------------  -------------  -------------
</TABLE>

PER-SHARE AMOUNTS

<TABLE>
<CAPTION>
                                             Net Realized
                                            and Unrealized    Net Increase in    Distributions
                                  Net            Gains          Net Assets         from Net       Quarter End
                              Investment      (Losses) on     Resulting from      Investment       Net Asset
                                Income        Investments       Operations          Income           Value
                             -------------  ---------------  -----------------  ---------------  -------------
<S>                          <C>            <C>              <C>                <C>              <C>
January 31, 1995        $           0.11           (0.03)             0.08             (0.30)           6.20
April 30, 1995                      0.13            0.34              0.47             (0.25)           6.42
July 31, 1995                       0.13            0.34              0.47             (0.24)           6.65
October 31, 1995                    0.12            0.10              0.22             (0.21)           6.66
                                   -----           -----             -----             -----
                        $           0.49            0.75              1.24             (1.00)
                                   -----           -----             -----             -----
                                   -----           -----             -----             -----
</TABLE>

                                       18
<PAGE>
- --------------------------------------------------------------------------------
                           INVESTMENTS IN SECURITIES

AMERICAN OPPORTUNITY INCOME FUND
OCTOBER 31, 1995

<TABLE>
<CAPTION>
                                                           Principal        Market
Name of Issuer                                               Amount        Value (a)
- ---------------------------------------------------------  ----------     -----------
<S>                                                        <C>            <C>
(PERCENTAGES OF EACH INVESTMENT CATEGORY RELATE TO TOTAL NET ASSETS)

U.S. GOVERNMENT SECURITIES (4.8%):
   U.S. Treasury Notes, 5.75%, 8/15/03
    (cost: $7,388,672) ................................ $   7,500,000       7,396,275
                                                                          -----------

MORTGAGE-BACKED SECURITIES (91.7%):
 U.S. AGENCY FIXED RATE MORTGAGES (67.2%):
   7.00%, FHLMC, 9/1/10 .................................   1,976,683       1,993,327
   7.50%, FHLMC, 8/1/25 .................................  12,500,001      12,644,376
   7.00%, FHLMC, 9/1/10 .................................   4,884,953       4,926,084
   7.00%, FNMA, 10/1/08 .................................     927,038         934,269
   7.00%, FNMA, 12/1/07 .................................     955,052         964,297
   7.00%, FNMA, 12/1/09 .................................     484,249         488,026
   7.50%, FNMA, 1/1/02 ..................................  16,754,608      17,078,977
   6.50%, GNMA, 10/15/10 ................................   6,933,798       6,740,952
   9.00%, GNMA II, 8/20/22 ..............................   1,217,991       1,270,499
   9.00%, GNMA II, 12/20/24 .............................   1,556,751       1,623,862
   9.00%, GNMA II, 2/20/25 ..............................   5,263,200       5,490,097
   9.00%, GNMA II, 6/20/25 ..............................  12,732,889      13,281,804
   8.50%, GNMA II, 5/20/25 ..............................   4,876,988       5,052,170
   9.50%, GNMA II, 5/20/25 ..............................   5,271,763       5,564,926
   8.00%, GNMA II, 7/20/25 ..............................   1,983,066       2,031,374
   8.50%, GNMA II, 7/20/25 ..............................   3,003,856       3,111,754
   8.00%, GNMA II, 9/20/25 ..............................   1,498,984       1,535,499
   8.00%, GNMA II, 8/20/25 ..............................   5,964,681       6,109,980
   9.00%, GNMA II, 8/20/25 ..............................   3,250,112       3,390,224
   8.00%, GNMA II, 10/20/25 .............................   5,000,000       5,121,800
   8.50%, GNMA II, 10/20/25 .............................   3,150,849       3,264,028
                                                                          -----------
                                                                          102,618,325
                                                                          -----------

 COLLATERALIZED MORTGAGE OBLIGATIONS (B) (24.5%):
  U.S. AGENCY FLOATING RATE (1.3%):
   7.66%, FNMA, Series 1993-246, Class F, LIBOR,
    10/25/23 ............................................   2,590,387       2,046,406
                                                                          -----------

 PRIVATE INTEREST-ONLY (0.1%):
   0.00%, Residential Funding Corporation, Series
    1992-S41, Class A6, LIBOR, 1/25/22 ..................          --(c)      114,181
                                                                          -----------

 U.S. AGENCY INVERSE INTEREST-ONLY (3.9%):
   37.19%, FHLMC, Series 1421, Class I, LIBOR,
    11/15/22 ............................................          --         689,128
   12.76%, FHLMC, Series 1669, Class JB, LIBOR,
    7/15/20 .............................................          --       1,027,062
</TABLE>

SEE ACCOMPANYING NOTES TO INVESTMENTS IN SECURITIES.

                                       19
<PAGE>
- --------------------------------------------------------------------------------
                           INVESTMENTS IN SECURITIES

AMERICAN OPPORTUNITY INCOME FUND
(CONTINUED)

<TABLE>
<CAPTION>
                                                           Principal        Market
Name of Issuer                                               Amount        Value (a)
- ---------------------------------------------------------  ----------     -----------
<S>                                                        <C>            <C>
   9.39%, FHLMC, Series 1684, Class JB, LIBOR,
    9/15/21 ........................................... $          --       1,783,947
   15.02%, FHLMC, Series 1695, Class AD, LIBOR,
    1/15/24 .............................................          --       2,427,806
                                                                          -----------
                                                                            5,927,943
                                                                          -----------

 PRIVATE INVERSE INTEREST-ONLY (0.5%):
   67.26%, Citicorp Mortgage Securities, Series 1992-9,
    Class AS, LIBOR, 4/25/21 ............................          --         205,379
   0.00%, Citicorp Mortgage Securities, Series 1993-4,
    Class A2, LIBOR, 3/25/22 ............................          --(c)      401,926
   0.00%, FBS Mortgage Corporation, Series 1992-DF, Class
    F4, LIBOR, 4/25/08 ..................................          --(c)       28,493
   29.72%, Residential Funding Mortgage Securities,
    Series 1987, Class S-8B, LIBOR, 10/25/08 ............          --         102,697
   0.00%, Sears Mortgage Securities, Series 1992-14,
    Class S1, LIBOR, 5/25/21 ............................          --(c)       43,905
   0.00%, Sears Mortgage Securities, Series 1993-1, Class
    S, LIBOR, 6/25/19 ...................................          --(c)       35,179
                                                                          -----------
                                                                              817,579
                                                                          -----------

 U.S. AGENCY INVERSE FLOATER (5.0%):
   7.17%, FHLMC, Series 1606, Class S, COFI, 5/15/08 ....   4,025,951       2,964,992
   6.55%, FHLMC, Series 1619, Class SC, COFI,
    11/15/23 ............................................   4,632,759       3,083,101
   7.01%, FHLMC, Series 1704, Class S, COFI, 3/15/09 ....     953,821         760,863
   8.85%, FNMA, Series 1993-43, Class SC, Treasury,
    4/25/08 .............................................   1,100,745         821,442
                                                                          -----------
                                                                            7,630,398
                                                                          -----------

 PRIVATE INVERSE FLOATER (2.8%):
   9.00%, Capstead Securities Corporation, Series
    1993-2E2, Class E2K, COFI, 10/25/23 .................   2,414,814       1,835,258
   21.67%, Citicorp Mortgage Securities, Series 90-14,
    Class A6, LIBOR, 9/25/20 ............................   2,285,998       2,368,866
                                                                          -----------
                                                                            4,204,124
                                                                          -----------

 U.S. AGENCY Z-TRANCHE (9.8%):
   7.00%, FHLMC, Series 1388, Class L, 10/15/07 .........   2,480,235       2,414,459
   7.00%, FNMA, Series 1993-106, Class Z, 6/25/13 .......  11,837,356      11,397,480
   8.50%, FNMA, Series 1994-93, Class Z, 2/25/24 ........   1,119,696       1,127,735
                                                                          -----------
                                                                           14,939,674
                                                                          -----------
</TABLE>

SEE ACCOMPANYING NOTES TO INVESTMENTS IN SECURITIES.

                                       20
<PAGE>
- --------------------------------------------------------------------------------
                           INVESTMENTS IN SECURITIES

AMERICAN OPPORTUNITY INCOME FUND
(CONTINUED)

<TABLE>
<CAPTION>
                                                           Principal        Market
Name of Issuer                                               Amount        Value (a)
- ---------------------------------------------------------  ----------     -----------
<S>                                                        <C>            <C>
 PRIVATE Z-TRANCHE (1.2%):
   8.50%, PNC Funding Corp, 5/1/17 .................... $   1,720,674       1,790,619
                                                                          -----------

    Total Mortgage-Backed Securities
     (cost: $146,204,009)  ..............................                 140,089,249
                                                                          -----------

INTEREST RATE CONTRACTS (1.5%):
   Interest rate cap with Merrill Lynch, $15,000,000
    notional principal on one-month LIBOR (5.81% on
    10/31/95), 4.50%, 9/2/97 ............................          --         328,851
   Interest rate cap with Goldman Sachs, $20,000,000
    notional principal on one-month LIBOR (5.81% on
    10/31/95), 4.50%, 9/10/97 ...........................          --         460,000
   Interest rate cap with JP Morgan, $75,000,000 notional
    principal on one-month LIBOR (5.81% on 10/31/95),
    6.00%, 2/15/98 ......................................          --         637,500
   Interest rate cap with Merrill Lynch, $5,000,000
    notional principal on one-month LIBOR (5.81% on
    10/31/95), 4.50%, 9/10/97 ...........................          --         115,000
   Interest rate cap with Morgan Stanley, $10,000,000
    notional principal on one-month LIBOR (5.81% on
    10/31/95), 4.50%, 9/2/97 ............................          --         219,234
   Interest rate cap with Morgan Stanley, $10,000,000
    notional principal on one-month LIBOR (5.81% on
    10/31/95), 4.50%, 9/10/97 ...........................          --         230,000
   Interest rate cap with Morgan Stanley, $20,000,000
    notional principal on one-month LIBOR (5.81% on
    10/31/95), 6.00%, 1/25/98 ...........................          --         166,466
   Interest rate cap with Morgan Stanley, $20,000,000
    notional principal on one-month LIBOR (5.81% on
    10/31/95), 6.00%, 2/2/98 ............................          --         169,620
                                                                          -----------

    Total Interest Rate Contracts
     (cost: $1,705,957)  ................................                   2,326,671
                                                                          -----------
</TABLE>

SEE ACCOMPANYING NOTES TO INVESTMENTS IN SECURITIES.

                                       21
<PAGE>
- --------------------------------------------------------------------------------
                           INVESTMENTS IN SECURITIES

AMERICAN OPPORTUNITY INCOME FUND
(CONTINUED)

<TABLE>
<CAPTION>
                                                           Principal        Market
Name of Issuer                                               Amount        Value (a)
- ---------------------------------------------------------  ----------     -----------
<S>                                                        <C>            <C>
SHORT-TERM SECURITIES (1.6%):
   Repurchase agreement with Goldman Sachs in a joint
    trading account, collateralized by U.S. government
    agency securities, acquired on 10/31/95, accrued
    interest at repurchase date of $398, 5.87%, 11/1/95
    (cost: $2,441,000) ................................ $   2,441,000       2,441,000
                                                                          -----------

    Total Investments in Securities
     (cost: $157,739,638)(d) .......................... $                 152,253,195
                                                                          -----------
                                                                          -----------
</TABLE>

NOTES TO INVESTMENTS IN SECURITIES:

(A)  SECURITIES ARE VALUED IN ACCORDANCE WITH PROCEDURES DESCRIBED IN NOTE 2 TO
     THE FINANCIAL STATEMENTS.
(B)  DESCRIPTIONS OF CERTAIN COLLATERALIZED MORTGAGE OBLIGATIONS ARE AS FOLLOWS:
     LIBOR - LONDON INTERBANK OFFERED RATE.
     COFI (11TH DISTRICT) - COST OF FUNDS INDEX OF THE FEDERAL RESERVE'S 11TH
       DISTRICT.
     INVERSE FLOATER - REPRESENTS SECURITIES THAT PAY INTEREST AT RATES THAT
       INCREASE (DECREASE) WITH A DECLINE (INCREASE) IN THE SPECIFIED INDEX. THE
       INTEREST RATE PAID BY THE INVERSE FLOATER WILL GENERALLY CHANGE AT A
       MULTIPLE OF ANY CHANGE IN THE INDEX. INTEREST RATES DISCLOSED ARE IN
       EFFECT ON OCTOBER 31, 1995.
     INTEREST-ONLY - REPRESENTS SECURITIES THAT ENTITLE HOLDERS TO RECEIVE ONLY
       INTEREST PAYMENTS ON THE UNDERLYING MORTGAGES. THE YIELD TO MATURITY OF
       AN INTEREST-ONLY IS EXTREMELY SENSITIVE TO THE RATE OF PRINCIPAL PAYMENTS
       ON THE UNDERLYING MORTGAGE ASSETS. A RAPID (SLOW) RATE OF PRINCIPAL
       REPAYMENTS MAY HAVE AN ADVERSE (POSITIVE) EFFECT ON YIELD TO MATURITY.
       INTEREST RATES DISCLOSED REPRESENT CURRENT YIELDS BASED UPON THE CURRENT
       COST BASIS AND ESTIMATED TIMING AND AMOUNT OF FUTURE CASH FLOWS.
     INVERSE INTEREST-ONLY - REPRESENTS SECURITIES THAT ENTITLE HOLDERS TO
       RECEIVE ONLY INTEREST PAYMENTS ON THE UNDERLYING MORTGAGES. INTEREST IS
       PAID AT A RATE THAT INCREASES (DECREASES) WITH A DECLINE (INCREASE) IN
       THE SPECIFIED INDEX. THE YIELD TO MATURITY OF AN INVERSE INTEREST-ONLY IS
       EXTREMELY SENSITIVE TO THE RATE OF PRINCIPAL PAYMENTS ON THE UNDERLYING
       MORTGAGE ASSETS. A RAPID (SLOW) RATE OF PRINCIPAL REPAYMENTS MAY HAVE AN
       ADVERSE (POSITIVE) EFFECT ON YIELD TO MATURITY. INTEREST RATES DISCLOSED
       REPRESENT CURRENT YIELDS BASED UPON THE CURRENT COST BASIS AND ESTIMATED
       TIMING AND AMOUNT OF FUTURE CASH FLOWS.

                                       22
<PAGE>
- --------------------------------------------------------------------------------
                           INVESTMENTS IN SECURITIES
<TABLE>
<S>  <C>
     Z-TRANCHE - 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 CURRENT COST BASIS AND ESTIMATED TIMING OF FUTURE CASH FLOWS.
(C)  BASED UPON ESTIMATED TIMING AND AMOUNT OF FUTURE CASH FLOWS, INCOME IS
     CURRENTLY NOT BEING RECOGNIZED ON CERTAIN INTEREST-ONLY AND INVERSE
     INTEREST-ONLY SECURITIES WITH AN AGGREGATE MARKET VALUE OF $623,684.
(D)  ON OCTOBER 31, 1995, FOR FEDERAL INCOME TAX PURPOSES, THE COST OF
     INVESTMENTS WAS $157,986,073. THE AGGREGATE GROSS UNREALIZED APPRECIATION
     AND DEPRECIATION OF INVESTMENTS IN SECURITIES BASED ON THIS COST WERE AS
     FOLLOWS:
</TABLE>

<TABLE>
      <S>                                   <C>
      GROSS UNREALIZED APPRECIATION .... $   3,137,481
      GROSS UNREALIZED DEPRECIATION ......  (8,870,359)
                                            ----------
        NET UNREALIZED DEPRECIATION .... $  (5,732,878)
                                            ----------
                                            ----------
</TABLE>

                                       23
<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, 1995 and the related statement of operations 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, 1995 and the financial highlights for the
periods presented in footnote 8. 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 or sold but not received or delivered, 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, 1995 and the results of
its operations for the year then ended, changes in net assets for each of the
years in the two-year period ended October 31, 1995 and the financial highlights
for the periods presented in footnote 8, in conformity with generally accepted
accounting principles.

KPMG Peat Marwick LLP
Minneapolis, Minnesota
December 8, 1995

                                       24
<PAGE>
- --------------------------------------------------------------------------------
                         FEDERAL INCOME TAX INFORMATION

            Fiscal Year Ended October 31, 1995

            Distributions shown below are taxable as dividend
            income. None qualify for the corporate dividends
            received deduction. In February 1996, you will receive a
            breakdown of income earned by investment category for
            calendar year 1995.

            Information for federal income tax purposes is presented
            as an aid to you in reporting the distributions. Please
            consult a tax adviser on how to report these
            distributions at the state and local levels.

<TABLE>
<CAPTION>
Payable Date                                       Per Share
- ------------------------------------------------  -----------

<S>                                               <C>
November 23, 1994 ............................ $      0.0833
December 28, 1994 ..............................      0.1333
January 13, 1995 ...............................      0.0833
February 22, 1995 ..............................      0.0833
March 29, 1995 .................................      0.0833
April 26, 1995 .................................      0.0833
May 24, 1995 ...................................      0.0833
June 28, 1995 ..................................      0.0833
July 26, 1995 ..................................      0.0700
August 23, 1995 ................................      0.0700
September 27, 1995 .............................      0.0700
October 25, 1995 ...............................      0.0700
                                                  -----------
                                               $      0.9964
                                                  -----------
                                                  -----------
</TABLE>

                                       25
<PAGE>
- --------------------------------------------------------------------------------
                               SHAREHOLDER UPDATE

ANNUAL MEETING RESULTS
An annual meeting of the fund's shareholders was held on August 17, 1995. Each
matter voted upon at the 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 six directors:

<TABLE>
<CAPTION>
                                                  Shares     Shares Withholding
                                               Voted "For"   Authority to Vote
                                               ------------  ------------------
<S>                                            <C>           <C>
David T. Bennett.............................    19,694,714         702,071
Jaye F. Dyer.................................    19,694,714         702,071
William H. Ellis.............................    19,694,714         702,071
Karol D. Emmerich............................    19,694,714         702,071
Luella G. Goldberg...........................    19,694,714         702,071
George Latimer...............................    19,694,548         702,237
</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 October 31, 1995. The following votes were cast regarding this
    matter:

<TABLE>
<CAPTION>
Shares Voted  Shares Voted                 Broker
   "For"       "Against"    Abstentions   non-votes
- ------------  ------------  -----------  -----------
<S>           <C>           <C>          <C>
  19,695,596      316,372      277,786       --
</TABLE>

SHARE REPURCHASE PROGRAM
Your fund's board of directors has reapproved the fund's share repurchase
program, which enables the fund to 'buy back' shares of its common stock in the
open market. Repurchases may only be made when the previous day's closing market
price per share was at a discount from net asset value. Repurchases cannot
exceed 3% of the fund's originally issued shares.

WHAT EFFECT WILL THIS PROGRAM HAVE ON SHAREHOLDERS?
- - We do not expect any adverse impact on the adviser's ability to manage the
  fund.
- - Because repurchases will be at a price below net asset value, remaining shares
  outstanding may experience a slight increase in net asset value.

                                       26
<PAGE>
- --------------------------------------------------------------------------------
                               SHAREHOLDER UPDATE

- - Although the effect of share repurchases on market price is less certain, the
  board of directors believes the program may have a favorable effect on the
  market price of fund shares.
- - We do not anticipate any material increase in the fund's expense ratio.

WHEN WILL SHARES BE REPURCHASED?
Share repurchases may be made from time to time and may be discontinued at any
time. Share repurchases are not mandatory when fund shares are trading at a
discount from net asset value; all repurchases will be at the discretion of the
fund's investment adviser. The board of directors will consider whether to
continue the share repurchase program on at least a semiannual basis and will
notify shareholders of its determination in the next semiannual or annual
report.

HOW WILL SHARES BE REPURCHASED?
We expect to finance the repurchase of shares by liquidating portfolio
securities or using current cash balances. We do not anticipate borrowing in
order to finance share repurchases.

TERMS AND CONDITIONS OF THE DIVIDEND REINVESTMENT PLAN
As a shareholder, you may choose to participate in the Dividend Reinvestment
Plan. It is 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 enrollment card 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 gain 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
Fund shares to cover reinvestments will generally be purchased by IFTC in the
open market. However, if fund shares are trading at a 10% or greater premium
over net

                                       27
<PAGE>
- --------------------------------------------------------------------------------
                               SHAREHOLDER UPDATE
asset value, and in certain other circumstances, the fund may issue new shares
to cover such reinvestments at a discount of up to 5% of the market price
without brokerage commissions.

Beginning no more than five business days before the dividend payment date, IFTC
may purchase fund shares on behalf of participants in the plan to satisfy
dividend reinvestments. Such purchases are made on the New York Stock Exchange
(the Exchange) or elsewhere at any time when the price of the fund's common
stock on the Exchange is at less than a 10% premium over the fund's most
recently calculated net asset value 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 requirements -- either because
the fund's shares have been trading at a greater than 10% premium over net asset
value or because IFTC, for any other reason, has not been able to purchase a
sufficient number of shares -- IFTC will accept payment of the dividend, or the
remaining portion therefore, in authorized but unissued shares of the fund. Such
shares will be issued at a price per share equal to the higher of (1) the net
asset value per share as of the close of business on the payment date, or (2)
95% of the closing market price per share on the payment date. The number of
shares allocated to you will be determined by dividing the amount of the
dividend or distribution by the applicable price per share.

There is no direct charge to you for reinvestment of dividends and capital
gains, since IFTC fees are paid by the fund. However, if fund shares are
purchased in the open market, each participant in the plan pays a pro rata
portion of the brokerage commissions. Brokerage charges are expected to be lower
than those for individual transactions because the plan purchases shares for all
participants in blocks. Distributions paid on the shares in your plan account
will also be reinvested as long as you continue to participate in the plan.

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 non-certificated form in your name.

TAX INFORMATION
Distributions reinvested in shares purchased in the open market are subject to
income tax, the same as if such distributions were received as 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 a Form 1099 information return regarding the federal tax
status of the prior year's distributions.

                                       28
<PAGE>
- --------------------------------------------------------------------------------
                               SHAREHOLDER UPDATE

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 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 funds reserve the right to amend or terminate the plan. Should the plan be
terminated, participants will be notified in writing at least 90 days before the
record date for the next 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 questions 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.

                                       29
<PAGE>
- --------------------------------------------------------------------------------
                             DIRECTORS AND OFFICERS

<TABLE>
<S>              <C>
DIRECTORS        David T. Bennett, CHAIRMAN, HIGHLAND HOMES, INC., USL
                     PRODUCTS, INC., KIEFER BUILT, INC., OF COUNSEL,
                     PRINCIPAL
                     GRAY, PLANT, MOOTY, MOOTY & BENNETT, P.A.
                 Jaye F. Dyer, PRESIDENT, DYER MANAGEMENT COMPANY
                 William H. Ellis, 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.
                 George Latimer, CHIEF EXECUTIVE OFFICER, NATIONAL EQUITY
                     FUNDS

OFFICERS         William H. Ellis, CHAIRMAN OF THE BOARD
                 Worth Bruntjen, PRESIDENT
                 Paul A. Dow, SENIOR VICE PRESIDENT
                 Marijo Goldstein, SENIOR VICE PRESIDENT
                 Robert H. Nelson, SENIOR VICE PRESIDENT AND TREASURER
                 Amy K. Johnson, VICE PRESIDENT
                 David E. Rosedahl, SECRETARY

INVESTMENT       Piper Capital Management Incorporated
ADVISER          222 SOUTH NINTH STREET, MINNEAPOLIS, MN 55402-3804

CUSTODIAN AND    Investors Fiduciary Trust Company
TRANSFER AGENT   127 WEST 10TH STREET, KANSAS CITY, MO 64105-1716

LEGAL COUNSEL    Dorsey & Whitney P.L.L.P.
                 220 SOUTH SIXTH STREET, MINNEAPOLIS, MN 55402

INDEPENDENT      KPMG Peat Marwick LLP
AUDITORS         4200 NORWEST CENTER, MINNEAPOLIS, MN 55402
</TABLE>

                                       30
<PAGE>

PIPER CAPITAL                                              ---------------
 MANAGEMENT                                                   Bulk Rate
                                                            U.S. Postage
PIPER CAPITAL MANAGEMENT INCORPORATED                           PAID
222 SOUTH NINTH STREET                                     Permit No. 3008
MINNEAPOLIS, MN 55402-3804                                    Mpls., MN
                                                           ---------------



[LOGO]  PIPER JAFFRAY INC., FUND SPONSOR AND NASD MEMBER.
        THIS DOCUMENT IS PRINTED ON PAPER MADE FROM
        100% TOTAL RECOVERED FIBER, INCLUDING 15% POST-CONSUMER WASTE.

        036-96    OIF-01   12/95


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