PIPER INSTITUTIONAL FUNDS INC
N-30D, 1996-07-24
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<PAGE>

          ANNUAL REPORT

             [LOGO]

          JUNE 30, 1996



                                      PIPER
                                  INSTITUTIONAL
                                      FUNDS






MINNEAPOLIS
222 SOUTH NINTH STREET
MINNEAPOLIS, MN 55402
612 342-6402

SEATTLE
1200 FIFTH AVENUE
SEATTLE,WA 98101
206 287-8862

DENVER
1050 17TH STREET
DENVER, CO 80265
303 820-5885

<PAGE>

                                TABLE OF CONTENTS

Letter to Shareholders . . . . . . . . 1
Financial Statements and Notes . . . . 6
Investments in Securities. . . . . . .16
Independent Auditors' Report . . . . .18
Federal Tax Information. . . . . . . .19


Letter to Shareholders . . . . . . . . 3
Financial Statements and Notes . . . . 6
Investments in Securities. . . . . . .17
Independent Auditors' Report . . . . .18
Federal Tax Information. . . . . . . .19

INSTITUTIONAL MONEY MARKET FUND
Institutional Money Market Fund seeks maximum current income consistent with
preservation of capital and maintenance of liquidity. To realize its objective,
the fund invests in securities that are issued or guaranteed as to payment of
principal and interest by the U.S. government, its agencies or
instrumentalities, and repurchase agreements backed by such securities. The U.S.
government securities held by the fund, not the fund shares, are guaranteed as
to payment of principal and interest. An investment in the fund is neither
insured nor guaranteed by the U.S. government. There can be no assurance the
fund will be able to maintain a stable net asset value of $1 per share.

INSTITUTIONAL GOVERNMENT ADJUSTABLE PORTFOLIO
Institutional Government Adjustable Portfolio seeks high current income
consistent with low principal volatility. The fund invests primarily (at least
65% of its total assets under normal market conditions) in adjustable rate
mortgage (ARM) securities that are issued or guaranteed by the U.S. government,
its agencies or its instrumentalities. The fund also may invest in privately
issued ARM securities, mortgage-backed securities other than ARM securities,
other types of U.S. government securities, Canadian government securities,
structured securities including foreign linked index securities and corporate
debt securities. The fund may also purchase securities through the sale-forward
(dollar-roll) program. This investment technique and investments in certain
types of securities, such as foreign linked index securities, 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 objective. Since the fund's inception on
February 2, 1993, it has had a credit rating of AAAf by Standard and Poor's
Mutual Funds Ratings Group (S&P).*

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



THIS REPORT IS INTENDED FOR SHAREHOLDERS OF INSTITUTIONAL MONEY MARKET FUND AND
INSTITUTIONAL GOVERNMENT ADJUSTABLE PORTFOLIO, BUT IT MAY ALSO BE USED AS SALES
LITERATURE IF PRECEDED OR ACCOMPANIED BY A PROSPECTUS. THE PROSPECTUS GIVES
DETAILS ABOUT THE CHARGES, INVESTMENT RESULTS AND OPERATING POLICIES OF THE
FUNDS.



<PAGE>

                         INSTITUTIONAL MONEY MARKET FUND

PORTFOLIO COMPOSITION
JUNE 30, 1996

Federal Home Loan Mortgage
Corporation 24%

Federal Home Loan Bank 8%

Other Government-
Backed Securities 3%

Federal Farm
Credit Bank 1%
                                   [PIE CHART]
Federal National
Mortgage Association 19%

Student Loan Marketing
Association 5%

U.S. Treasury Securities 5%

Repurchase Agreements 35%


INVESTMENT CATEGORIES REFLECT PERCENTAGE OF TOTAL ASSETS.


NANCY SHELLENBERGER OLSEN
IS PRIMARILY RESPONSIBLE FOR THE MANAGEMENT OF INSTITUTIONAL MONEY MARKET FUND.
SHE HAS 18 YEARS OF FINANCIAL EXPERIENCE.

SHAISTA TAJAMAL
ASSISTS WITH THE MANAGEMENT OF INSTITUTIONAL MONEY MARKET FUND.  SHE HAS SIX
YEARS OF FINANCIAL EXPERIENCE.


July 19, 1996

Dear Shareholders:

DURING THE PAST YEAR, INSTITUTIONAL MONEY MARKET FUND'S SEVEN-DAY CURRENT YIELD
FELL FROM 5.67% ON JUNE 30, 1995, TO 5.04% ON JUNE 30, 1996.* This decline was
due to a decrease in short-term interest rates brought on by the Federal Reserve
Board (Fed) easing credit in July, December and January. Since January, the Fed
has maintained a neutral monetary policy, meaning they have neither raised nor
lowered interest rates.

SEVERAL ECONOMIC DEVELOPMENTS TOOK PLACE DURING THE PERIOD THAT HAD AN IMPACT ON
THE MARKET. Inflation, as measured by the Consumer Price Index, grew only 2.4%
for 1995, its lowest annual increase since 1986. This kept interest rates
relatively low. Inflation remained subdued during the first six months of 1996,
but the economy showed signs of strength with job creation in the non-farm
sector posting much higher increases than expected -- 624,000 new jobs in
February and 140,000 in March. In addition, there was a substantial, though
short-lived, rally in commodity prices. As a result of these signs of economic
strength, both  long- and short-term interest rates rose.

DURING THE YEAR, WE SHORTENED THE FUND'S AVERAGE WEIGHTED MATURITY FROM 68 TO 34
DAYS. Shortening the average weighted maturity is a common strategy that we
employ when we believe short-term interest rates will rise. The benefit is that
we don't have to wait as long for securities to mature in order for us to put
that money to work at higher interest rates.

ONE OF THE WAYS WE SHORTENED THE AVERAGE MATURITY OF THE PORTFOLIO WAS TO ADD
GOVERNMENT AGENCY FLOATING SECURITIES. This helped performance due to the
favorable spreads on those securities and to the rising short-term rates in the
first half of 1996. These securities represent approximately 12% of the fund's
total assets as of June 30.


*PAST PERFORMANCE DOES NOT GUARANTEE FUTURE RESULTS. THE RETURN OF AN INVESTMENT
WILL FLUCTUATE. AN INVESTMENT IN THE FUND IS NEITHER INSURED NOR GUARANTEED BY
THE U.S. GOVERNMENT, AND THERE CAN BE NO ASSURANCE THAT THE FUND WILL BE ABLE TO
MAINTAIN A STABLE NET ASSET VALUE OF $1 PER SHARE.


                                        1

<PAGE>

                         INSTITUTIONAL MONEY MARKET FUND

[GRAPH]

CURRENT YIELD REFERS TO THE INCOME GENERATED BY THE FUND OVER A 30-DAY 
PERIOD. THIS INCOME IS THEN ANNUALIZED. EFFECTIVE YIELD IS CALCULATED 
SIMILARLY BUT THE INCOME EARNED IS ASSUMED TO BE REINVESTED. DURING SOME 
PERIODS, PIPER CAPITAL WAIVED OR PAID FUND EXPENSES AND/OR PIPER JAFFRAY, THE 
FUND'S DISTRIBUTOR, VOLUNTARILY LIMITED 12B-1 FEES FOR THE FUND. HAD THESE 
FEES AND EXPENSES NOT BEEN WAIVED, YIELDS WOULD HAVE BEEN: 4.98% 30-DAY 
CURRENT YIELD AND 5.10% 30-DAY EFFECTIVE YIELD.

GOING FORWARD, THERE'S A POSSIBILITY THE FED WILL RAISE SHORT-TERM RATES AT THE
FEDERAL OPEN MARKET COMMITTEE MEETING ON OR BEFORE AUGUST 20. Because we believe
the market has already factored in a Fed tightening, we don't expect that a Fed
rate hike will have a significant impact on prices if it does occur. As a
result, a Fed increase may encourage us to increase slightly the fund's average
weighted maturity.

THE SAFETY OF YOUR PRINCIPAL REMAINS OUR PRIMARY CONSIDERATION IN MANAGING 
THE FUND AS WE STRIVE TO PROVIDE YOU WITH A CONSERVATIVE ALTERNATIVE FOR YOUR 
SHORT-TERM CASH. As of June 30, all of the fund's investments were in 
securities issued or guaranteed by the U.S. government or its agencies or 
instrumentalities, or in repurchase agreements backed by such securities.We 
continue to use a fundamental approach to identify high-quality, liquid money 
market securities that provide competitive yields. Our strategy is designed 
to add value by active positioning of the portfolio on the short end of the 
yield curve, investing in high-quality securities and managing the fund's 
average weighted maturity based on our interest rate forecast.

Thank you for your investment in Institutional Money Market Fund. We remain 
committed to providing you with quality service and look forward to helping 
you achieve your financial goals.

Sincerely,

/s/ Nancy Shellenberger Olsen

Nancy Shellenberger Olsen


30-DAY YIELDS

30-DAY CURRENT AND EFFECTIVE YIELDS ARE AS OF THE END OF
EACH MONTH.


                                        2

<PAGE>

                  INSTITUTIONAL GOVERNMENT ADJUSTABLE PORTFOLIO

PORTFOLIO COMPOSITION
JUNE 30, 1996

U.S. Agency Adjustable
Rate Mortgage-Backed
Securities 72%

U.S. Agency Fixed
Rate Mortgage-Backed
Securities 14%
                                   [PIE CHART]
U.S. Treasury
Securities 1%

Short-Term
Securities 1%

Other Assets 2%


INVESTMENT CATEGORIES REFLECT PERCENTAGE OF TOTAL ASSETS.



TOM MCGLINCH, CFA
IS PRIMARILY RESPONSIBLE FOR THE MANAGEMENT OF INSTITUTIONAL GOVERNMENT 
ADJUSTABLE PORTFOLIO. HE HAS 15 YEARS OF FINANCIAL EXPERIENCE.

July 19, 1996

Dear Shareholders:

DURING THE FISCAL YEAR ENDED JUNE 30, 1996, INSTITUTIONAL GOVERNMENT 
ADJUSTABLE PORTFOLIO HAD A TOTAL RETURN OF 6.34%.* This return includes 
reinvested distributions but not the fund's sales charge. Comparatively, the 
one-year return for the Lipper Adjustable Rate Mortgage Funds Average was 
3.30% and the Lehman Brothers Adjustable Rate Mortgage Index's return was 
6.31%. During this period, coupon income contributed a significant portion of 
the fund's total return. The fund slightly outperformed the Lehman index as a 
result of owning securities with slightly higher coupon income and less price 
sensitivity to higher interest rates than securities in the index. In 
addition, we believe the Lipper average return was lower because several of 
the funds in the category experienced credit losses.

BOND MARKET PERFORMANCE WAS MIXED DURING THE FUND'S FISCAL YEAR.  In late 
1995 and early 1996, the bond market rallied as interest rates continued 
their decline. During this period, the Federal Reserve Board (Fed) lowered 
the federal funds rate in July, December and January. These moves had 
important implications for the adjustable-rate mortgage (ARM) securities 
market as many of the underlying loans reset their coupons based on the 
one-year Treasury yield. Also, many borrowers began to see the interest rate 
on their mortgage decrease, and investors experienced a gradual reduction in 
coupon income as the underlying mortgage loans reset to lower rates. Once 
economic reports showed stronger-than-expected growth, interest rates began 
to rise and bond prices fell sharply, abruptly ending the bond market rally. 
Fortunately, adjustable rate mortgages posted slightly better returns in this 
environment compared to most fixed income securities. Through the period, 
market consensus grew that the Federal Reserve would raise short-term 
interest rates in a pre-emptive strike against inflation. That sentiment 
began to wane the last few trading days in June, resulting in a slight 
improvement in returns.

WE MAINTAINED A RELATIVELY CONSERVATIVE INVESTMENT STRATEGY, WHICH INCLUDED A 
NEARLY NEUTRAL EFFECTIVE DURATION IN COMPARISON TO THE FUND'S BENCHMARK 
INDEX. The effective duration for the fund was 1.7 years as of June 30. The 
fund benefited from its emphasis on ARM securities during the period. As 
short-term interest rates fell in late 1995, the coupon rates on these ARM 
securities did not fall as quickly or as far


*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.

                                        3

<PAGE>

                  INSTITUTIONAL GOVERNMENT ADJUSTABLE PORTFOLIO

VALUE OF $100,000 INVESTED
JUNE 30, 1996

[GRAPH]

$100,000 INVESTED IN FEBRUARY 1993 AND HELD THROUGH JUNE 30, 1996, WOULD HAVE 
GROWN TO $112,202. THE FUND'S PERFORMANCE REFLECTS THE MAXIMUM SALES CHARGE 
OF 1%, WHILE NO SUCH CHARGES ARE REFLECTED IN THE INDEX OR AVERAGE. ALL 
PERFORMANCE FIGURES INCLUDE REINVESTED DISTRIBUTIONS. PAST PERFORMANCE DOES 
NOT GUARANTEE FUTURE RESULTS.

AVERAGE ANNUALIZED TOTAL RETURNS
THROUGH 6/30/96, INCLUDING 1% SALES CHARGE

One Year . . . . . . . . . . . . . .5.27%
Since Inception (2/2/93) . . . . . .3.44%

DURING SOME PERIODS, PIPER CAPITAL WAIVED OR PAID FUND EXPENSES AND/OR PIPER 
JAFFRAY, THE FUND'S DISTRIBUTOR, VOLUNTARILY LIMITED 12B-1 FEES FOR THE FUND. 
HAD THESE FEES AND EXPENSES NOT BEEN WAIVED, THE AVERAGE ANNUALIZED TOTAL 
RETURNS INCLUDING REINVESTED DISTRIBUTIONS AND THE FUND'S SALES CHARGE WOULD 
HAVE BEEN 4.05% ONE YEAR AND 3.02% SINCE INCEPTION.


as market rates due to the lagging nature of their reset frequency. As a 
result, they increased in value. Since the coupons did not experience 
significant downward adjustments as rates fell, they offered comparatively 
attractive income as rates began to rise, helping to hold their value.

TO MEET FUND REDEMPTIONS DURING THE PAST YEAR, WE SOLD SOME OF THE FUND'S 
TREASURY SECURITIES AND, IN TURN, CAUSED A SLIGHT INCREASE IN ITS ALLOCATION 
TO U.S. AGENCY ARM SECURITIES. At the end of the period, the fund had 
approximately 72% of its net assets in U.S. agency ARM securities. We expect 
to maintain our weighting in ARM securities until we see indications of 
changing market conditions. Not only does the current market for these 
securities appear strong, but we believe they have the potential to generate 
high relative income in the rest of 1996.

EARLY PRINCIPAL PAYMENTS IN LATE 1995 HAVE HAD A NEGATIVE IMPACT ON THE 
FUND'S INCOME. Borrowers were refinancing their adjustable rate mortgages at 
a faster speed due to the lower rates available on fixed rate mortgages. 
Since many of the ARM securities held in the fund were purchased at premium 
prices, the faster prepayments caused the fund to amortize these premiums 
more quickly. That reduced the fund's current income level. We were generally 
successful at minimizing the impact of prepayments by selling some of the 
fund's ARM securities that we believed were most susceptible to prepayments. 
As rates have risen in 1996, the refinancing opportunity has been limited, 
further reducing prepayments.

SOME OF THE FUND'S 1995 DIVIDENDS WERE RECLASSIFIED AS A RETURN OF CAPITAL 
FOR TAX PURPOSES DUE TO THE SALE OF A CANADIAN MORTGAGE-BACKED SECURITY THAT 
RECOGNIZED FOREIGN CURRENCY LOSSES. Tax regulations require that certain 
foreign currency losses be treated as ordinary losses and be offset against 
net investment income when determining taxable ordinary income. As a result, 
some of the fund's distributions to investors were classified as a return of 
capital. A return of capital means that the distribution is not reported as 
taxable income but can be used to reduce the investor's cost basis in the 
fund. This will affect the capital gain or loss calculation upon your sale of 
the fund's shares. Your tax adviser can provide more information about how 
this will affect you in your tax reporting.


                                        4

<PAGE>

                  INSTITUTIONAL GOVERNMENT ADJUSTABLE PORTFOLIO


GOING FORWARD, WE HAVE POSITIONED THE FUND TO PERFORM BEST IN A STABLE 
INTEREST RATE ENVIRONMENT, though we can't rule out the possibility that the 
Fed may raise short-term interest rates in August. The recent rise in yields 
has improved bond market fundamentals, and our expectation is that the 
economy will grow moderately in the coming months. We intend to maintain a 
neutral strategy and expect ARM securities to perform well in the less 
volatile market environment we anticipate. The securities in the fund have a 
relatively high average coupon, which reduces their price sensitivity to 
changing market rates and allows them to maintain relatively high levels of 
income.

IN THE NEXT FEW WEEKS, YOU WILL RECEIVE A PROXY IN THE MAIL ASKING YOU TO 
APPROVE A PROPOSAL TO MERGE THIS FUND INTO THE ADJUSTABLE RATE MORTGAGE 
SECURITIES FUND, ANOTHER PIPER FUND. Piper Capital Management recommended to 
the board of directors of Institutional Government Adjustable Portfolio that 
a reorganization take place because the fund has been unable to attract and 
retain sufficient assets for its continued operation to be economically 
feasible. The board of directors approved the recommendation and recommends 
shareholders vote for the proposal. If the plan is approved, you will become 
a shareholder of the Adjustable Rate Mortgage Securities Fund and will 
receive shares equal to the value of your shares in Institutional Government 
Adjustable Portfolio. The Adjustable Rate Mortgage Securities Fund shares 
would be issued on a net asset value basis, and you would incur no sales 
charge. I manage Adjustable Rate Mortgage Securities Fund and would remain 
primarily responsible for its day-to-day management.

Thank you for your investment in Institutional Government Adjustable 
Portfolio. As always, my efforts are dedicated to reaching the fund's 
objective and helping you achieve your financial goals.

Sincerely,


/s/ Tom McGlinch


Tom McGlinch
Portfolio Manager


                                        5

<PAGE>
- --------------------------------------------------------------------------------
                              FINANCIAL STATEMENTS
 
STATEMENTS OF ASSETS AND LIABILITIES
JUNE 30, 1996
 
<TABLE>
<CAPTION>
                                                              Institutional Institutional
                                                                 Money       Government
                                                                Market       Adjustable
                                                                 Fund        Portfolio
                                                              -----------   ------------
 
<S>                                                           <C>           <C>
ASSETS:
  Investments in securities at market value* (note 2)
  (including repurchase agreements of $61,051,000 and
    $46,000, respectively) ............................... $  173,849,628     5,670,773
  Cash in bank on demand deposit ...........................      48,026         48,058
  Organization costs (note 2) ..............................      27,167         15,295
  Mortgage security paydowns receivable ....................          --         28,925
  Accrued interest receivable ..............................     575,266         38,165
                                                              -----------   ------------
      Total assets .........................................  174,500,087     5,801,216
                                                              -----------   ------------
 
LIABILITIES:
  Dividends payable to shareholders ........................     664,593         25,308
  Accrued investment management fee ........................      19,863          1,436
                                                              -----------   ------------
      Total liabilities ....................................     684,456         26,744
                                                              -----------   ------------
Net assets applicable to outstanding capital stock ....... $  173,815,631     5,774,472
                                                              -----------   ------------
                                                              -----------   ------------
 
REPRESENTED BY:
  Capital stock - authorized 100 billion shares of $0.01 par
    value of Institutional Money Market Fund and 10 billion
    shares of $0.01 par value of Institutional Government
    Adjustable Portfolio; outstanding, 173,815,631 and
    608,858 shares, respectively ......................... $   1,738,156          6,089
  Additional paid-in capital ...............................  172,077,475     9,124,869
  Distributions in excess of net investment income .........          --        (25,308)
  Accumulated net realized loss on investments .............          --     (3,355,290)
  Unrealized appreciation of investments ...................          --         24,112
                                                              -----------   ------------
      Total - representing net assets applicable to
        outstanding capital stock ........................ $  173,815,631     5,774,472
                                                              -----------   ------------
                                                              -----------   ------------
 
Net asset value per share of outstanding capital stock ... $        1.00           9.48
                                                              -----------   ------------
                                                              -----------   ------------
 
* Investments in securities at identified cost ........... $  173,849,628     5,646,661
                                                              -----------   ------------
                                                              -----------   ------------
</TABLE>
 
                 SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
                                       6
<PAGE>
- --------------------------------------------------------------------------------
                              FINANCIAL STATEMENTS
 
STATEMENTS OF OPERATIONS
FOR THE YEAR ENDED JUNE 30, 1996
 
<TABLE>
<CAPTION>
                                                              Institutional Institutional
                                                                 Money       Government
                                                                Market       Adjustable
                                                                 Fund        Portfolio
                                                              -----------   ------------
 
<S>                                                           <C>           <C>
INCOME:
  Interest (net of interest expense of $1,750 for
    Institutional Government Adjustable Portfolio) ....... $   5,748,809        673,117
                                                              -----------   ------------
 
EXPENSES (NOTE 5):
  Investment management fee ................................     155,276         30,710
  Custodian, accounting and transfer agent fees ............     123,526         52,701
  Shareholder account servicing fees .......................       1,206            365
  Registration fees ........................................      26,964         12,351
  Reports to shareholders ..................................      21,026         23,265
  Amortization of organization costs .......................      14,204          7,997
  Directors' fees ..........................................       5,611          5,127
  Audit and legal fees .....................................      35,540         30,874
  Other expenses ...........................................      12,193         15,433
                                                              -----------   ------------
      Total expenses .......................................     395,546        178,823
  Less expenses waived by the advisor ......................     (32,746)      (116,698)
                                                              -----------   ------------
 
      Net expenses before expenses paid indirectly .........     362,800         62,125
  Less expenses paid indirectly ............................        (490)          (424)
                                                              -----------   ------------
 
      Total net expenses ...................................     362,310         61,701
                                                              -----------   ------------
 
      Net investment income ................................   5,386,499        611,416
                                                              -----------   ------------
 
NET REALIZED AND UNREALIZED GAINS (LOSSES) ON INVESTMENTS:
  Net realized loss on investments (note 3) ................          --       (143,585)
  Net change in unrealized appreciation or depreciation of
    investments ............................................          --        190,446
                                                              -----------   ------------
    Net gain on investments ................................          --         46,861
                                                              -----------   ------------
 
      Net increase in net assets resulting from
        operations ....................................... $   5,386,499        658,277
                                                              -----------   ------------
                                                              -----------   ------------
</TABLE>
 
                 SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
                                       7
<PAGE>
- --------------------------------------------------------------------------------
                              FINANCIAL STATEMENTS
 
STATEMENTS OF CHANGES IN NET ASSETS
 
<TABLE>
<CAPTION>
                                                                   Institutional Money          Institutional Government
                                                                       Market Fund                Adjustable Portfolio
                                                              ------------------------------   --------------------------
                                                                Year Ended      Year Ended     Year Ended     Year Ended
                                                                 6/30/96          6/30/95        6/30/96       6/30/95
                                                              --------------   -------------   -----------   ------------
 
<S>                                                           <C>              <C>             <C>           <C>
OPERATIONS:
  Net investment income .................................. $       5,386,499       1,764,252      611,416       1,295,309
  Net realized loss on investments .........................              --              --     (143,585)     (2,209,087)
  Net change in unrealized appreciation or depreciation of
    investments ............................................              --              --      190,446       1,791,630
                                                              --------------   -------------   -----------   ------------
 
    Net increase in net assets resulting from operations ...       5,386,499       1,764,252      658,277         877,852
                                                              --------------   -------------   -----------   ------------
 
DISTRIBUTIONS TO SHAREHOLDERS:
  From net investment income ...............................      (5,386,499)     (1,764,252)    (362,543)     (1,105,594)
  Tax return of capital ....................................              --              --     (221,821)       (148,061)
                                                              --------------   -------------   -----------   ------------
    Total distributions ....................................      (5,386,499)     (1,764,252)    (584,364)     (1,253,655)
                                                              --------------   -------------   -----------   ------------
 
CAPITAL SHARE TRANSACTIONS (NOTE 4):
  Proceeds from sales ......................................     590,483,864     168,842,836      187,462         875,301
  Proceeds from shares issued for reinvestment of
    distributions ..........................................       4,730,393       1,434,995      505,527         983,642
  Payments for shares redeemed .............................    (473,887,488)   (152,763,914)  (9,962,203)    (21,423,001)
                                                              --------------   -------------   -----------   ------------
    Increase (decrease) in net assets from capital share
      transactions .........................................     121,326,769      17,513,917   (9,269,214)    (19,564,058)
                                                              --------------   -------------   -----------   ------------
      Total increase (decrease) in net assets ..............     121,326,769      17,513,917   (9,195,301)    (19,939,861)
 
Net assets at beginning of year ............................      52,488,862      34,974,945   14,969,773      34,909,634
                                                              --------------   -------------   -----------   ------------
 
Net assets at end of year ................................ $     173,815,631      52,488,862    5,774,472      14,969,773
                                                              --------------   -------------   -----------   ------------
                                                              --------------   -------------   -----------   ------------
 
Distributions in excess of net investment income ......... $              --              --      (25,308)       (198,326)
                                                              --------------   -------------   -----------   ------------
                                                              --------------   -------------   -----------   ------------
</TABLE>
 
                 SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
                                       8
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
 
(1) ORGANIZATION
                 Piper Institutional Funds Inc. (the company)
                 is registered under the Investment Company Act
                 of 1940 (as amended) as a single, open-end
                 investment management company. The company
                 currently includes two diversified series:
                 Institutional Money Market Fund and
                 Institutional Government Adjustable Portfolio
                 (the funds). The company's articles of
                 incorporation permit the board of directors to
                 create additional series in the future.
 
                 Institutional Money Market Fund invests in
                 short-term securities that are issued or
                 guaranteed as to payment of principal and
                 interest by the U.S. government, its agencies
                 or instrumentalities, and repurchase
                 agreements backed by such securities.
 
                 Institutional Government Adjustable Portfolio
                 invests primarily in adjustable rate mortgage
                 (ARM) securities that are issued and
                 guaranteed as to payment of principal and
                 interest by the U.S. government, its agencies
                 or instrumentalities. The fund may also invest
                 in privately issued ARM securities,
                 mortgage-backed securities other than ARM
                 securities, other types of U.S. government
                 securities, Canadian government securities,
                 structured securities including foreign linked
                 index securities and corporate debt
                 securities. The fund may also purchase
                 securities through the sale-forward
                 (dollar-roll) program.
 
(2) SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
                 INVESTMENTS IN SECURITIES
                 For Institutional Money Market Fund, pursuant
                 to Rule 2a-7 of the Investment Company Act of
                 1940 (as amended), securities are valued at
                 amortized cost, which approximates market
                 value, in order to maintain a constant net
                 asset value of $1 per share.
 
                 For Institutional Government Adjustable
                 Portfolio, 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 sales price, and open financial
                 futures contracts are valued at the last
                 settlement price. 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.
 
                 OPTIONS TRANSACTIONS
                 For hedging purposes, Institutional Government
                 Adjustable Portfolio 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 for
                 profit if the market price of the security
                 increases. The risk in writing a put option is
                 that the fund may incur a loss if the market
                 price of the security decreases and the option
                 is exercised. The risk of buying an option is
                 that 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.
 
                 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 exercised, the
                 proceeds on the sale of a
 
                                       9
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
 
                 written call option, the purchase cost of a
                 written put option, or the cost of a security
                 for purchased put and call options 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, Institutional
                 Government Adjustable Portfolio may buy and
                 sell financial futures contracts and related
                 options. Risks of entering into futures
                 contracts and related options include the
                 possibility 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.
 
                 INTEREST RATE TRANSACTIONS
                 To preserve a return or spread on a particular
                 investment or portion of its portfolio or for
                 other non-speculative purposes, Institutional
                 Government Adjustable Portfolio 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 on
                 implied forward interest rates.
 
                 SECURITIES PURCHASED ON A WHEN-ISSUED BASIS
                 Delivery and payment for securities that have
                 been purchased by Institutional Government
                 Adjustable Portfolio on a forward-commitment
                 or when-issued 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 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
 
                                       10
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
 
                 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 June 30, 1996, the fund had no
                 outstanding when-issued or forward
                 commitments.
 
                 In connection with its ability to purchase
                 securities on a when-issued or forward-
                 commitment basis, the fund may enter into
                 mortgage "dollar rolls" in which the fund
                 sells securities 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 year ended June 30, 1996, the fund
                 earned no such fees.
 
                 FEDERAL TAXES
                 Each fund is treated separately for federal
                 income tax purposes. Each 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. In addition, on a
                 calendar-year basis, the funds will distribute
                 substantially all of their 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 primarily because of the
                 recognition of certain foreign currency gains
                 (losses) as ordinary income (loss) for tax
                 purposes and the non-deductibility of
                 amortization of organization costs.
 
                 The character of distributions made during the
                 year from net investment income or net
                 realized gains may differ from its ultimate
                 characterization for federal income tax
                 purposes. Distributions which exceed the net
                 investment income or net realized gains for
                 financial statement purposes are presented as
                 an "excess distribution" in the statements of
                 changes in net assets and the financial
                 highlights. Distributions that exceed the net
                 investment income or net realized gains
                 recorded on a tax basis are presented as a
                 "tax return of capital" in the statements of
                 changes in net assets and the financial
                 highlights. In addition, due to the timing of
                 dividend distributions, the fiscal year in
                 which amounts are distributed may differ from
                 the year that the income or realized gains
                 (losses) were recorded by the funds.
 
                 On the statement of assets and liabilities, as
                 a result of permanent book-to-tax differences,
                 reclassification adjustments have been made
                 for Institutional Government Adjustable
                 Portfolio to decrease additional paid-in
                 capital by $3,463, increase distributions in
                 excess of net investment income by $75,855 and
                 decrease accumulated net realized losses by
                 $79,318.
 
                 DISTRIBUTIONS TO SHAREHOLDERS
                 Distributions to shareholders from net
                 investment income are declared daily and paid
                 monthly. Net realized gains distributions, if
                 any, will be made at least annually.
                 Distributions are payable in cash or
                 reinvested in additional shares.
 
                 REPURCHASE AGREEMENTS
                 For repurchase agreements entered into with
                 certain broker-dealers, the funds, along with
                 other affiliated registered investment
                 companies, may transfer uninvested cash
                 balances into an individual, joint or
                 tri-party 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 funds' custodian
                 bank until maturity of the repurchase
                 agreement. Securities pledged as collateral
                 for all tri-party repurchase agreements are
 
                                       11
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
 
                 held by a third-party custodian 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 funds in the event of a
                 default.
 
                 ORGANIZATION COSTS
                 Organization costs were incurred in connection
                 with the start up and initial registration of
                 the funds. These costs are amortized over 60
                 months on a straight-line basis. If any or all
                 of the shares representing initial capital of
                 the fund are redeemed by any holder thereof
                 prior to the end of the amortization period,
                 the proceeds will be reduced by the
                 unamortized organization cost balance in the
                 same proportion as the number of shares
                 redeemed bears to the number of initial shares
                 outstanding preceding the redemption.
 
                 USE OF ESTIMATES
                 The preparation of financial statements in
                 conformity with generally accepted accounting
                 principles requires management to make
                 estimates and assumptions that affect the
                 reported amounts of assets and liabilities.
                 Management is also required to make
                 disclosures of contingent assets and
                 liabilities at the date of the financial
                 statements and the reported results of
                 operations during the reporting period. Actual
                 results could differ from those estimates.
 
(3) INVESTMENT SECURITY TRANSACTIONS
                 Cost of purchases and proceeds from sales of
                 securities, other than temporary investments
                 in short-term securities (for Institutional
                 Government Adjustable Portfolio), for the year
                 ended June 30, 1996 were as follows:
 
<TABLE>
<CAPTION>
                                                                             Institutional
                                                          Institutional      Government
                                                           Money Market      Adjustable
                                                               Fund           Portfolio
                                                          --------------     -----------
<S>                                                       <C>                <C>
Purchases .......................................... $    3,703,354,777       4,288,478
Proceeds from sales ................................ $    3,581,950,731      13,282,084
</TABLE>
 
                 For the year ended June 30, 1996, no brokerage
                 commissions were paid to Piper Jaffray Inc.,
                 an affiliated broker.
 
(4) CAPITAL SHARE TRANSACTIONS
                 Transactions in shares of each fund for the
                 years ended June 30, 1996, and June 30, 1995,
                 were as follows:
 
<TABLE>
<CAPTION>
                                                                            Institutional
                                                          Institutional     Government
                                                          Money Market      Adjustable
                                                              Fund           Portfolio
                                                          -------------     -----------
<S>                                                       <C>               <C>
1996:
  Sold  ..............................................     590,483,864          19,737
  Issued for reinvested distributions  ...............       4,730,393          53,334
  Redeemed  ..........................................    (473,887,488)     (1,049,909)
                                                          -------------     -----------
      Increase (decrease)  ...........................     121,326,769        (976,838)
                                                          -------------     -----------
                                                          -------------     -----------
1995:
  Sold  ..............................................     168,842,836          95,422
  Issued for reinvested distributions  ...............       1,434,995         104,898
  Redeemed  ..........................................    (152,763,914)     (2,304,441)
                                                          -------------     -----------
        Increase (decrease)  .........................      17,513,917      (2,104,121)
                                                          -------------     -----------
                                                          -------------     -----------
</TABLE>
 
(5) EXPENSES
                 The company has entered into an investment
                 management agreement with Piper Capital
                 Management (Piper Capital) under which Piper
                 Capital manages each fund's assets and
                 furnishes related office facilities,
                 equipment, research and personnel. The
 
                                       12
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
 
                 agreement requires each fund to pay Piper
                 Capital a monthly fee based on average daily
                 net assets. The fee for Institutional Money
                 Market Fund is equal to an annual rate of
                 0.15%. The fee for Institutional Government
                 Adjustable Portfolio is equal to an annual
                 rate of 0.30%.
 
                 The company has also entered into shareholder
                 servicing agreements under which Piper Jaffray
                 Inc. (Piper Jaffray) and Piper Trust Company
                 perform various transfer and dividend
                 disbursing agent services. The fees, which are
                 paid monthly to Piper Jaffray and Piper Trust
                 Company for providing these services, are
                 equal to an annual rate of $9.00 per active
                 shareholder account and $6.00 per inactive
                 account for Institutional Money Market Fund
                 and $7.50 per active shareholder account and
                 $1.60 per closed account for Institutional
                 Government Adjustable Portfolio.
 
                 In addition to the investment management and
                 shareholder account servicing fees, each 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; organization
                 costs; insurance; interest; taxes and other
                 miscellaneous expenses. For the year ended
                 June 30, 1996, Piper Capital voluntarily
                 limited total fees and expenses, excluding
                 interest and income tax expenses, to an annual
                 rate of 0.35% and 0.60% of average daily net
                 assets on an annual basis for Institutional
                 Money Market Fund and Institutional Government
                 Adjustable Portfolio, respectively.
 
                 Expenses paid indirectly represent a reduction
                 of custodian fees for earnings on cash
                 balances maintained by the funds.
 
                 Sales charges received by Piper Jaffray for
                 distributing shares of Institutional
                 Government Adjustable Portfolio were $4 for
                 the year ended June 30, 1996.
 
(6) CAPITAL LOSS CARRYOVER
                 For federal income tax purposes, Institutional
                 Government Adjustable Portfolio had capital
                 loss carryovers of $3,355,290 at June 30,
                 1996, which, if not offset by subsequent
                 capital gains, will expire in 2002 through
                 2005. 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
                 expired.
 
(7) PROPOSED REORGANIZATION
                 The board of directors has approved, subject
                 to shareholder approval, a reorganization
                 pursuant to which Adjustable Rate Mortgage
                 Securities Fund ('Adjustable Rate Fund'), a
                 series of Piper Funds Inc. - II, will acquire
                 substantially all of the assets of
                 Institutional Government Adjustable Portfolio.
                 Shareholders of Institutional Government
                 Adjustable Portfolio will become shareholders
                 of Adjustable Rate Fund, receiving shares of
                 Adjustable Rate Fund with a value equal to the
                 value of their holdings in Institutional
                 Government Adjustable Portfolio. The
                 reorganization is subject to the approval of a
                 majority of the outstanding shares of
                 Institutional Government Adjustable Portfolio.
                 A special meeting to vote on the
                 reorganization is currently scheduled for
                 September 12, 1996.
 
                                       13
<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 each period are as
                 follows:
 
                 INSTITUTIONAL MONEY MARKET FUND
 
<TABLE>
<CAPTION>
                                                                            Year        Year        Year       Period
                                                                            Ended       Ended       Ended       Ended
                                                                           6/30/96     6/30/95     6/30/94     6/30/93(c)
                                                                           -------     -------     -------     -------
<S>                                                                        <C>         <C>         <C>         <C>
Net asset value, beginning of period ................................ $      1.00        1.00        1.00        1.00
                                                                           -------     -------     -------     -------
Operations:
  Net investment income ...............................................      0.05        0.05        0.03        0.01
                                                                           -------     -------     -------     -------
    Total from operations  ............................................      0.05        0.05        0.03        0.01
                                                                           -------     -------     -------     -------
Distributions from net investment income ..............................     (0.05)      (0.05)      (0.03)      (0.01)
                                                                           -------     -------     -------     -------
    Net asset value, end of period .................................. $      1.00        1.00        1.00        1.00
                                                                           -------     -------     -------     -------
                                                                           -------     -------     -------     -------
Total return (a) ......................................................      5.42%       5.26%       3.23%       1.24%
Net assets at end of period (in millions) ........................... $       174          52          35          40
Ratio of expenses to average daily net assets (b) .....................      0.35%       0.35%       0.35%       0.35%(d)
Ratio of net investment income to average daily net assets (b) ........      5.22%       5.17%       3.26%       3.02%(d)
</TABLE>
 
(A)  TOTAL RETURN IS BASED ON THE CHANGE IN NET ASSET VALUE DURING THE PERIOD,
     ASSUMES REINVESTMENT OF ALL DISTRIBUTIONS AND DOES NOT REFLECT A SALES
     CHARGE.
(B)  DURING THE YEARS REFLECTED ABOVE, THE ADVISOR VOLUNTARILY WAIVED FEES AND
     EXPENSES. HAD THE FUND PAID ALL FEES AND EXPENSES, THE RATIOS OF EXPENSES
     AND NET INVESTMENT INCOME TO AVERAGE DAILY NET ASSETS WOULD HAVE BEEN AS
     FOLLOWS: 0.38%/5.19%, 0.49%/5.03% AND 0.61%/3.00% IN FISCAL YEARS 1996,
     1995 AND 1994, RESPECTIVELY. BEGINNING IN FISCAL 1996, THE EXPENSE RATIO
     REFLECTS THE EFFECT OF GROSS EXPENSES PAID INDIRECTLY BY THE FUND. PRIOR
     PERIOD EXPENSE RATIOS HAVE NOT BEEN ADJUSTED.
(C)  COMMENCEMENT OF OPERATIONS WAS FEBRUARY 2, 1993.
(D)  ADJUSTED TO AN ANNUAL BASIS.
 
                                       14
<PAGE>
- --------------------------------------------------------------------------------
                         NOTES TO FINANCIAL STATEMENTS
 
(8) FINANCIAL HIGHLIGHTS (CONTINUED)
                 Per-share data for a share of capital stock
                 outstanding throughout each period and
                 selected information for each period are as
                 follows:
 
                 INSTITUTIONAL GOVERNMENT ADJUSTABLE PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                           Year        Year        Year       Period
                                                                           Ended       Ended       Ended       Ended
                                                                          6/30/96     6/30/95     6/30/94     6/30/93(d)
                                                                          -------     -------     -------     -------
<S>                                                                       <C>         <C>         <C>         <C>
Net asset value, beginning of period ............................... $      9.44        9.46       10.04       10.00
                                                                          -------     -------     -------     -------
Operations:
  Net investment income ..............................................      0.59(f)     0.52        0.49        0.18
  Net realized and unrealized gains (losses) on investments ..........     (0.01)      (0.04)      (0.57)       0.04
                                                                          -------     -------     -------     -------
    Total from operations  ...........................................      0.58        0.48       (0.08)       0.22
                                                                          -------     -------     -------     -------
Distributions to shareholders:
  From net investment income .........................................     (0.25)      (0.41)      (0.50)      (0.18)
  Tax return of capital ..............................................     (0.29)      (0.09)         --          --
                                                                          -------     -------     -------     -------
    Total distributions to shareholders  .............................     (0.54)      (0.50)      (0.50)      (0.18)
                                                                          -------     -------     -------     -------
    Net asset value, end of period ................................. $      9.48        9.44        9.46       10.04
                                                                          -------     -------     -------     -------
                                                                          -------     -------     -------     -------
Total return (a) .....................................................      6.34%       5.26%      (0.91)%      2.18%
Net assets at end of period (in millions) .......................... $         6          15          35          41
Ratio of expenses to average daily net assets (b) ....................      0.61%       0.55%       0.55%       0.74%(e)
Ratio of net investment income to average daily net assets (b) .......      5.98%       5.54%       5.13%       4.73%(e)
Portfolio turnover rate (excluding short-term securities) ............        43%         43%        110%         26%
Amount of borrowings outstanding at end of period (in millions)
  (c) .............................................................. $         0           0           9           6
Average amount of borrowings outstanding during the period (in
  millions) ........................................................ $        --        1.62       11.71        5.87
Average number of shares outstanding during the period (in
  millions) ..........................................................      1.03        2.41        5.38        3.37
Average per-share asset amount of borrowings outstanding during the
  period ........................................................... $      0.03        0.67        2.18        1.74
</TABLE>
 
(A)  TOTAL RETURN IS BASED ON THE CHANGE IN NET ASSET VALUE DURING THE PERIOD,
     ASSUMES REINVESTMENT OF ALL DISTRIBUTIONS AND DOES NOT REFLECT A SALES
     CHARGE.
(B)  DURING THE YEARS REFLECTED ABOVE, THE ADVISOR VOLUNTARILY WAIVED FEES AND
     EXPENSES. HAD THE FUND PAID ALL FEES AND EXPENSES, THE RATIOS OF EXPENSES
     AND NET INVESTMENT INCOME TO AVERAGE DAILY NET ASSETS WOULD HAVE BEEN AS
     FOLLOWS: 1.75%/4.84%, 0.75%/5.34% AND 0.60%/5.08% IN FISCAL YEARS 1996,
     1995 AND 1994, RESPECTIVELY. BEGINNING IN FISCAL 1996, THE EXPENSE RATIO
     REFLECTS THE EFFECT OF GROSS EXPENSES PAID INDIRECTLY BY THE FUND. PRIOR
     PERIOD EXPENSE RATIOS HAVE NOT BEEN ADJUSTED.
(C)  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 NOTE 2 IN THE NOTES TO FINANCIAL STATEMENTS.
(D)  COMMENCEMENT OF OPERATIONS WAS FEBRUARY 2, 1993.
(E)  ADJUSTED TO AN ANNUAL BASIS.
(F)  BASED ON AVERAGE SHARES OUTSTANDING DURING THE YEAR.
 
                                       15
<PAGE>
- --------------------------------------------------------------------------------
                            INVESTMENTS IN SECURITIES
 
INSTITUTIONAL MONEY MARKET FUND
JUNE 30, 1996
 
<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 AND AGENCY SECURITIES (62.0%):
 Federal Farm Credit Bank Floating Rate Notes (b) (0.9%):
  5.19%, 2/13/97 ...................................... $   1,500,000        1,499,460
                                                                           -----------
 
 Federal Home Loan Bank Discount Notes (6.1%):
  5.30%, 8/12/96 ........................................     985,000          978,909
  5.17%, 8/19/96 ........................................   2,640,000        2,621,422
  5.12%, 9/20/96 ........................................   1,000,000          988,480
  5.18%, 10/4/96 ........................................   1,000,000          986,332
  5.27%, 7/22/96 ........................................   5,000,000        4,984,629
                                                                           -----------
                                                                            10,559,772
                                                                           -----------
 
 Federal Home Loan Bank Floating Rate Notes (b) (1.7%):
  5.45%, 9/2/97 .........................................   1,000,000          997,109
  5.35%, 11/21/96 .......................................   2,000,000        1,999,813
                                                                           -----------
                                                                             2,996,922
                                                                           -----------
 
 Federal Home Loan Mortgage Corporation Coupon Notes (1.7%):
  7.88%, 12/20/96 .......................................   2,000,000        2,021,274
  5.56%, 11/7/96 ........................................   1,000,000          999,848
                                                                           -----------
                                                                             3,021,122
                                                                           -----------
 
 Federal Home Loan Mortgage Corporation Discount Notes (22.6%):
  5.25%, 8/6/96 .........................................   3,000,000        2,984,250
  5.21%, 8/8/96 .........................................   1,650,000        1,640,926
  5.32%, 9/3/96 .........................................   2,000,000        1,981,084
  5.33%, 9/20/96 ........................................   2,000,000        1,976,015
  5.23%, 10/16/96 .......................................   1,255,000        1,235,491
  5.18%, 7/3/96 .........................................   3,000,000        2,999,137
  5.19%, 7/3/96 .........................................   2,475,000        2,474,286
  5.17%, 7/9/96 .........................................   3,000,000        2,996,553
  5.27%, 7/10/96 ........................................   5,000,000        4,993,413
  5.25%, 7/15/96 ........................................   3,000,000        2,993,875
  5.28%, 7/15/96 ........................................   2,000,000        1,995,893
  5.18%, 7/16/96 ........................................   5,000,000        4,989,208
  5.19%, 7/16/96 ........................................   3,000,000        2,993,513
  5.25%, 7/18/96 ........................................   3,000,000        2,992,563
                                                                           -----------
                                                                            39,246,207
                                                                           -----------
 
 Federal National Mortgage Association Discount Notes (14.0%):
  5.15%, 8/1/96 .........................................   1,500,000        1,493,348
  5.24%, 8/6/96 .........................................   3,000,000        2,984,280
  5.29%, 8/13/96 ........................................   2,000,000        1,987,363
  4.80%, 8/16/96 ........................................   2,000,000        1,987,733
  5.23%, 8/20/96 ........................................   3,000,000        2,978,208
  5.18%, 7/24/96 ........................................   8,000,000        7,973,525
  5.27%, 7/25/96 ........................................   5,000,000        4,982,433
                                                                           -----------
                                                                            24,386,890
                                                                           -----------
 
 Federal National Mortgage Association Floating Rate Notes (b) (5.2%):
  5.54%, 10/4/96 ........................................   2,000,000        2,000,000
  5.44%, 5/1/97 .........................................   3,000,000        2,998,741
  5.47%, 6/20/97 ........................................   2,000,000        1,998,084
  5.45%, 6/2/99 .........................................   2,000,000        1,986,422
                                                                           -----------
                                                                             8,983,247
                                                                           -----------
</TABLE>
 
<TABLE>
<CAPTION>
                                                           Principal         Market
Name of Issuer                                               Amount         Value (a)
- ---------------------------------------------------------  ----------      -----------
<S>                                                        <C>             <C>
 
 Student Loan Marketing Association Floating Rate Notes (b) (4.6%):
  5.59%, 10/30/97 ..................................... $   2,360,000        2,360,000
  6.08%, 7/1/96 .........................................   2,700,000        2,700,000
  6.13%, 6/30/97 ........................................   1,000,000          999,585
  5.45%, 12/20/96 .......................................   2,000,000        2,000,000
                                                                           -----------
                                                                             8,059,585
                                                                           -----------
 
 U.S. Treasury Notes and Bonds (5.2%):
  6.50%, 11/30/96 .......................................   1,500,000        1,506,483
  6.88%, 2/28/97 ........................................   3,000,000        3,029,435
  6.63%, 3/31/97 ........................................   3,000,000        3,023,173
  8.50%, 4/15/97 ........................................   1,500,000        1,533,001
                                                                           -----------
                                                                             9,092,092
                                                                           -----------
 
   Total U.S. Government and Agency Securities (cost:
    $107,845,297)  ......................................                  107,845,297
                                                                           -----------
 
OTHER U.S. GOVERNMENT AGENCY-BACKED (2.9%):
  Downey Savings & Loan, LOC Federal Home Loan Bank San
   Francisco, 5.50%, 7/12/96 ............................   1,000,000          998,319
  Downey Savings & Loan, LOC Federal Home Loan Bank San
   Francisco, 5.25%, 8/16/96 ............................   1,000,000          993,292
  Fidelity Federal Bank, LOC Federal Home Loan Bank San
   Francisco, 5.22%, 9/27/96 ............................   3,000,000        2,961,720
                                                                           -----------
 
   Total Other U.S. Government Agency-Backed (cost:
    $4,953,331)  ........................................                    4,953,331
                                                                           -----------
 
REPURCHASE AGREEMENTS (35.1%):
  Repurchase agreement with Goldman Sachs in a joint
   trading account, collateralized by U.S. government
   agency securities, acquired on 6/28/96, accrued
   interest of $486, 5.55%, 7/1/96 ......................   1,051,000        1,051,000
  Repurchase agreement with Goldman Sachs in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/26/96, accrued interest of
   $5,889, 5.30%, 7/1/96 ................................   8,000,000(c)     8,000,000
  Repurchase agreement with Goldman Sachs in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/26/96, accrued interest of
   $7,950, 5.30%, 7/2/96 ................................   9,000,000(c)     9,000,000
  Repurchase agreement with Goldman Sachs in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/5/96, accrued interest of
   $12,015, 5.34%, 7/2/96 ...............................   3,000,000(c)     3,000,000
  Repurchase agreement with Goldman Sachs in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/6/96, accrued interest of
   $14,187, 5.32%, 7/8/96 ...............................   3,000,000(c)(d)   3,000,000
</TABLE>
 
SEE ACCOMPANYING NOTES TO INVESTMENTS IN SECURITIES.
 
                                       16
<PAGE>
- --------------------------------------------------------------------------------
                            INVESTMENTS IN SECURITIES
 
INSTITUTIONAL MONEY MARKET FUND
(CONTINUED)
 
<TABLE>
<CAPTION>
                                                           Principal         Market
Name of Issuer                                               Amount         Value (a)
- ---------------------------------------------------------  ----------      -----------
<S>                                                        <C>             <C>
  Repurchase agreement with Goldman Sachs in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/6/96, accrued interest of
   $15,517, 5.32%, 7/11/96 ............................ $   3,000,000(c)(d)   3,000,000
  Repurchase agreement with Morgan Stanley in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 5/28/96, accrued interest of
   $39,825, 5.31%, 8/26/96 ..............................   3,000,000(c)(d)   3,000,000
  Repurchase agreement with Morgan Stanley in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/24/96, accrued interest of
   $18,865, 5.39%, 7/1/96 ...............................  18,000,000(c)    18,000,000
  Repurchase agreement with Morgan Stanley in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/26/96, accrued interest of
   $8,338, 5.36%, 7/3/96 ................................   8,000,000(c)     8,000,000
  Repurchase agreement with Morgan Stanley in a tri-party
   account, collateralized by U.S. government agency
   securities, acquired on 6/7/96, accrued interest of
   $20,689, 5.32%, 7/5/96 ...............................   5,000,000(c)     5,000,000
                                                                           -----------
 
   Total Repurchase Agreements
    (cost: $61,051,000)  ................................                   61,051,000
                                                                           -----------
 
   Total Investments in Securities (100.0%)
    (cost: $173,849,628) (e)  ...........................                  173,849,628
                                                                           -----------
 
   Liabilities in excess of other assets (-0.0%)  .......                      (33,997)
                                                                           -----------
   Net assets (100.0%) ................................ $                  173,815,631
                                                                           -----------
                                                                           -----------
</TABLE>
 
NOTES TO INVESTMENTS IN SECURITIES:
 
(A)  SECURITIES ARE VALUED IN ACCORDANCE WITH PROCEDURES DESCRIBED IN NOTE 2 TO
     THE FINANCIAL STATEMENTS.
(B)  INTEREST RATE VARIES TO REFLECT CURRENT MARKET CONDITIONS; RATE SHOWN IS
     THE EFFECTIVE RATE ON JUNE 30, 1996. THE MATURITY DATE REPRESENTS FINAL
     MATURITY. HOWEVER, FOR PURPOSES OF RULE 2A-7, MATURITY DATE IS THE NEXT
     INTEREST RATE RESET DATE.
(C)  TRI-PARTY REPURCHASE AGREEMENTS REPRESENT AGREEMENTS WHERE UNINVESTED CASH
     BALANCES ARE TRANSFERRED TO AN INDEPENDENT THIRD-PARTY CUSTODIAN (BANK OF
     NEW YORK) AND THE COLLATERAL PLEDGED BY THE COUNTERPARTY TO THE AGREEMENT
     IS HELD AT THE SAME THIRD-PARTY CUSTODIAN FOR THE BENEFIT OF THE FUND.
(D)  REPURCHASE AGREEMENTS WITH GREATER THAN SEVEN DAYS TO MATURITY ARE
     CONSIDERED ILLIQUID. THE AGGREGATE VALUE OF SUCH REPURCHASE AGREEMENTS
     REPRESENTS 5.2% OF NET ASSETS.
(E)  ALSO REPRESENTS COST FOR FEDERAL INCOME TAX PURPOSES.
 
INSTITUTIONAL GOVERNMENT ADJUSTABLE PORTFOLIO
JUNE 30, 1996
 
<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 AND AGENCY SECURITIES (97.4%):
 U.S. Government Securities (11.3%):
   U.S. Treasury Note, 6.00%, 11/30/97 ................ $     650,000          650,325
                                                                           -----------
 
 U.S. Agency Mortgage-Backed Securities (86.1%):
  Fixed Rate (14.3%):
   7.50%, FNMA, 2/1/10 ..................................     823,589          828,473
                                                                           -----------
 
 Adjustable Rate (71.8%):
   7.25%, FHLMC, 1/1/17 .................................     926,788          942,423
   7.59%, FNMA, 2/1/22 ..................................   1,460,184        1,510,268
   6.50%, GNMA, 11/20/25 ................................   1,678,081        1,693,284
                                                                           -----------
                                                                             4,145,975
                                                                           -----------
 
    Total U.S. Government and Agency Securities
     (cost: $5,600,661)  ................................                    5,624,773
                                                                           -----------
 
REPURCHASE AGREEMENTS (0.8%):
   Repurchase agreement with Goldman Sachs in a joint
    trading account, collateralized by U.S. government
    agency securities, acquired on 6/28/96, accrued
    interest of $21, 5.55%, 7/1/96
    (cost: $46,000) .....................................      46,000           46,000
                                                                           -----------
 
    Total Investments in Securities (98.2%)
     (cost: $5,646,661) (b)  ............................                    5,670,773
                                                                           -----------
 
    Other assets in excess of liabilities (1.8%)  .......                      103,699
                                                                           -----------
    Net assets (100.0%) ............................... $                    5,774,472
                                                                           -----------
                                                                           -----------
</TABLE>
 
NOTES TO INVESTMENTS IN SECURITIES:
 
(A)  SECURITIES ARE VALUED IN ACCORDANCE WITH PROCEDURES DESCRIBED IN NOTE 2 TO
     THE FINANCIAL STATEMENTS.
(B)  ON JUNE 30, 1996, THE COST OF INVESTMENTS IN SECURITIES FOR FEDERAL INCOME
     TAX PURPOSES WAS $5,646,661. THE AGGREGATE GROSS UNREALIZED APPRECIATION
     AND DEPRECIATION OF INVESTMENTS IN SECURITIES WERE AS FOLLOWS:
 
<TABLE>
      <S>                                   <C>
      GROSS UNREALIZED APPRECIATION .... $       46,668
      GROSS UNREALIZED DEPRECIATION ......      (22,556)
                                            -----------
        NET UNREALIZED APPRECIATION .... $       24,112
                                            -----------
                                            -----------
</TABLE>
 
                                       17
<PAGE>
- --------------------------------------------------------------------------------
                          INDEPENDENT AUDITOR'S REPORT
 
                 THE BOARD OF DIRECTORS AND SHAREHOLDERS
                 PIPER INSTITUTIONAL FUNDS INC.:
 
                 We have audited the accompanying statements of
                 assets and liabilities, including the schedule
                 of investments in securities, of Institutional
                 Money Market Fund and Institutional Government
                 Adjustable Portfolio (funds within Piper
                 Institutional Funds Inc.) as of June 30, 1996,
                 the related statements of operations for the
                 year then ended, the statements of changes in
                 net assets for each of the years in the two-
                 year period then ended and the financial
                 highlights presented in note 8 to the
                 financial statements. These financial
                 statements and the financial highlights are
                 the responsibility of the funds' 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 and 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 Institutional Money
                 Market Fund and Institutional Government
                 Adjustable Portfolio as of June 30, 1996, and
                 the results of their operations, the changes
                 in their net assets and the financial
                 highlights for the periods stated in the first
                 paragraph above, in conformity with generally
                 accepted accounting principles.
 
                 KPMG Peat Marwick LLP
                 Minneapolis, Minnesota
                 July 19, 1996
 
                                       18
<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 adviser 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>
                                                                        Institutional
                                                        Institutional    Government
                                                        Money Market     Adjustable
Payable Date                                                Fund          Portfolio
- -----------------------------------------------------  ---------------  -------------
<S>                                                    <C>              <C>
July 31, 1995.......................................$        0.0047          0.0417
August 31, 1995......................................        0.0047          0.0417
September 30, 1995...................................        0.0045          0.0448
October 31, 1995.....................................        0.0046          0.0467
November 30, 1995....................................        0.0044          0.0492
December 31, 1995....................................        0.0046          0.0473
January 31, 1996.....................................        0.0045          0.0467
February 29, 1996....................................        0.0040          0.0470
March 31, 1996.......................................        0.0043          0.0464
April 30, 1996.......................................        0.0041          0.0464
May 31, 1996.........................................        0.0042          0.0452
June 30, 1996........................................        0.0041          0.0410
                                                            -------     -------------
    Total...........................................$        0.0527          0.5441*
                                                            -------     -------------
                                                            -------     -------------
</TABLE>
 
                 * $0.2921 per share of the total distributions
                   of $0.5441 per share represents a return of
                   capital for tax purposes.
 
                                       19
<PAGE>
- --------------------------------------------------------------------------------
                             DIRECTORS AND OFFICERS
 
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, 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
                    Paul A. Dow, PRESIDENT
                    Thomas S. McGlinch, SENIOR VICE PRESIDENT
                    Robert H. Nelson, SENIOR VICE PRESIDENT AND
                        TREASURER
                    Nancy S. Olsen, SENIOR VICE PRESIDENT
                    Molly J. Destro, VICE PRESIDENT
                    Amy K. Johnson, VICE PRESIDENT
                    Paul D. Pearson, VICE PRESIDENT
                    Susan Sharp Miley, SECRETARY
 
INVESTMENT ADVISER  Piper Capital Management Incorporated
                    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 LLP
                    220 SOUTH SIXTH STREET, MINNEAPOLIS, MN 55402
 
INDEPENDENT         KPMG Peat Marwick LLP
AUDITORS            4200 NORWEST CENTER, MINNEAPOLIS, MN 55402
 
                                       20
<PAGE>

[LOGO]

PIPER CAPITAL MANAGEMENT INCORPORATED
222 SOUTH NINTH STREET
MINNEAPOLIS, MN 55402-3804


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

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 names reside. If you would like to have
additional reports mailed to your address, please call our
Shareholder Services area at 1 800 866-7778, or mail
your request to:

Piper Capital Management
Attn: Communications Department
222 South Ninth Street
Minneapolis, MN  55402-3804

http://www.piperjaffray.com/
#10700  7/96  190-96


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