PIPER FUNDS INC II
N-30D, 1996-05-16
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<PAGE>


ADJUSTABLE RATE
MORTGAGE
SECURITIES
FUND

1996
SEMIANNUAL REPORT

<PAGE>

                              TABLE OF CONTENTS

<TABLE>
<S>                                  <C>
Letter to Shareholders.................2
Investments in Securities..............5
Financial Statements and Notes.........6

</TABLE>

ADJUSTABLE RATE MORTGAGE SECURITIES FUND 

Adjustable Rate Mortgage Securities Fund is a diversified, open-end mutual 
fund with an investment objective of providing the maximum current income 
that is consistent with low volatility of principal. The fund invests 
primarily in adjustable rate mortgage (ARM) securities. It may also invest in 
mortgage-backed securities other than ARM securities, U.S. government 
securities, asset-backed securities and corporate debt securities. The fund's 
Nasdaq symbol is PJARX. As with other mutual funds, there can be no assurance 
the fund will achieve its objective.

CALL TO RECEIVE QUARTERLY UPDATES

If you would like to be put on our mailing list to receive quarterly fund 
summaries for Adjustable Rate Mortgage Securities Fund, call our Shareholder 
Services Department at 1 800 866-7778. 

THIS REPORT IS INTENDED FOR SHAREHOLDERS OF ADJUSTABLE RATE MORTGAGE 
SECURITIES FUND, 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 FUND.

<PAGE>

                             SHAREHOLDER SERVICES

AS A SHAREHOLDER IN PIPER FUNDS, YOU HAVE ACCESS TO A FULL RANGE OF SERVICES 
AND BENEFITS. IF YOU HOLD YOUR FUND SHARES THROUGH A BROKER/DEALER OTHER THAN 
PIPER JAFFRAY, THESE SERVICES MAY NOT BE AVAILABLE TO YOU. CHECK YOUR 
PROSPECTUS FOR DETAILS ABOUT SERVICES AND ANY LIMITATIONS THAT MIGHT APPLY TO 
YOUR FUND.

LOW MINIMUM INVESTMENTS

You can open most Piper mutual fund accounts with a minimum investment of $250.

QUANTITY DISCOUNTS

If your initial investment exceeds a specified amount, if an investment 
combined with the value of your existing Piper shares exceeds a specified 
amount, or if your investments combined during a 13-month period exceed a 
specified amount, you can reduce or even eliminate the front-end sales charge.

WAIVER OF SALES CHARGES

Money market funds carry no sales charges.* Sales charges on other Piper 
funds are waived on purchases of $500,000 or more. However, a contingent 
deferred sales charge may be imposed. See your prospectus for details.

AUTOMATIC REINVESTMENT OF DIVIDENDS

For maximum growth of your assets, you can reinvest dividends and capital 
gains automatically in additional shares of your fund without a sales charge.

CROSS-REINVESTMENT OF DISTRIBUTIONS

Diversify your holdings by reinvesting dividends and capital gains from one 
Piper fund into another. 

CASH DISTRIBUTIONS

If you prefer, take your dividends and/or capital gains in cash.

AUTOMATIC MONTHLY INVESTMENT PROGRAM

You may automatically transfer $25 or more each month from any Piper money 
market fund into many other Piper funds.*

AUTOMATIC MONTHLY MONEY TRANSFER PROGRAM

If you are starting a savings discipline or seeking a convenient way to 
invest, you can transfer a minimum of $100 automatically from your bank, 
savings and loan or other financial institution into many of the Piper funds.

EXCHANGE PRIVILEGES

Revise your investment plan without incurring a sales charge by moving assets 
from one Piper fund to another with the same fee structure. See your 
prospectus for restrictions involving exchanges between funds with different 
sales charges.

REINVESTMENT PRIVILEGES

If you buy a fund with a sales charge and later redeem your shares, you may 
reinvest all or part of the proceeds in shares of that fund or another Piper 
fund within 30 days and pay no additional sales charge, subject to each 
fund's minimum investment requirements.

SYSTEMATIC WITHDRAWAL PLAN

If your account has a value of $5,000 or more, you can elect to receive 
periodic payments of $100 or more, at no cost, excluding money market funds.

ACCOUNT STATEMENTS

Whenever you add to or withdraw money from your account, you'll receive a 
monthly statement from Piper Jaffray. Accounts with no activity receive a 
quarterly statement instead. Periodic dividend and capital gain 
distributions, if any, also appear on your statement.

CONFIRMATION OF TRANSACTIONS

You receive a confirmation statement following every transaction, except in 
the money market funds. All transactions are reflected on your account 
statement.

$25 MILLION SHAREHOLDER PROTECTION

If you have a Piper Jaffray PRIME or PAT account, you are protected up to $25 
million in the unlikely event that Piper Jaffray were to fail financially. 
This is in addition to basic Securities Investor Protection Corporation 
(SIPC) coverage, which protects up to $500,000 in cash and securities 
($100,000 in cash only) per customer. This protection does not cover market 
loss.

* AN INVESTMENT IN A PIPER MONEY MARKET 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>

                   ADJUSTABLE RATE MORTGAGE SECURITIES FUND

[PHOTO TOM MCGLINCH]

FPO
65%

[PHOTO WAN-CHONG KUNG]

FPO
52%

TOM MCGLINCH

SHARES PRIMARY RESPONSIBILITY FOR THE MANAGEMENT OF ADJUSTABLE RATE MORTGAGE 
SECURITIES FUND. HE HAS 15 YEARS OF INVESTMENT EXPERIENCE.

WAN-CHONG KUNG

SHARES PRIMARY RESPONSIBILITY FOR THE MANAGEMENT OF ADJUSTABLE RATE MORTGAGE 
SECURITIES FUND. SHE HAS FOUR YEARS OF INVESTMENT EXPERIENCE.


PORTFOLIO COMPOSITION 
FEBRUARY 29, 1996

[CHART]

U.S. Agency ARM Securities 69%
Short-Term 1%
U.S. Treasuries 11%
U.S. Agency Fixed Rate Mortgage-Backed Securities 2%
Privately Issued ARM Securities 16%
Other Assets 1%

INVESTMENT CATEGORIES REFLECT PERCENTAGE OF TOTAL ASSETS.


April 17, 1996

Dear Shareholders:

FOR THE SIX-MONTH PERIOD ENDED FEBRUARY 29, 1996, ADJUSTABLE RATE MORTGAGE 
SECURITIES FUND HAD A TOTAL RETURN OF 3.51%* which includes reinvested 
distributions but not the fund's sales charge. The fund's emphasis on 
high-quality securities helped it outperform the Lipper Adjustable Rate 
Mortgage Funds Average return of 1.31% for the same period. The fund 
performed in line with the Lehman Brothers Adjustable Rate Mortgage Index 
which returned 3.92% for the same six-month period. The slight outperformance 
by the Lehman index resulted from its larger allocation to Government 
National Mortgage Association (GNMA) securities and securities with coupon 
rates that reset to the Cost of Funds Index (COFI). Although these securities 
typically experience greater price appreciation during periods of falling 
interest rates such as we experienced for most of the six-month period, they 
produce less income than the higher-coupon issues held by the fund. 

THE FUND'S NET ASSET VALUE HAS EXPERIENCED LITTLE VOLATILITY SINCE IT WAS 
BROUGHT OUT AT $8.00 PER SHARE AFTER THE MERGER OF THE FOUR TERM TRUSTS. Over 
the last six months, interest rates generally declined as the Federal Reserve 
lowered the fed funds rate once in December from 5.75% to 5.50%, and another 
time in January from 5.50% to 5.25% to try to stimulate the economy. The rate 
cuts helped to move short-term interest rates lower which in turn increased 
the prices of ARM securities. This was reflected in a modest rise in the net 
asset value of Adjustable Rate Mortgage Securities Fund to a high of $8.08 on 
February 2. However, we positioned the fund to emphasize income more than an 
increase in net asset value as we expected the Federal Reserve to ease rates 
much less aggressively than did the market in general. This strategy paid off 
in February when the bond market realized it had effectively 
"overanticipated" the number of rate cuts the Federal Reserve would make and 
rates began to rise. In late February, the net asset value of the fund 
dropped only slightly and is currently $8.03 as of April 17.

SINCE THE MERGER LAST FALL, WE HAVE FOCUSED OUR EFFORTS ON IMPROVING THE 
LEVEL AND PREDICTABILITY OF DIVIDEND INCOME TO SHAREHOLDERS. The lower rate 
environment throughout most of the period decreased the interest rates on 
mortgages, causing investors in ARM securities to experience a gradual 
reduction in coupon income as the underlying mortgage loans reset. We took 
steps to extend the average number of 


* FIGURES SHOWN REFLECT PAST PERFORMANCE AND DO 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>

                   ADJUSTABLE RATE MORTGAGE SECURITIES FUND

[CHART]

Adjustable Rate Mortgage Securities Fund (Results include historical net 
asset value performance of American Adjustable Rate Term Trust--1998, assume 
reinvested distribution and reflect the funds 1.5% sales charge since 
inception)

Lehman Brothers Adjustable Rate Mortgage Index, an unmanaged index of all 
U.S. agency adjustable rate mortgage securities

Lipper Adjustable Rate Mortgage Funds Average, the average total return, with 
distributions reinvested, of similar funds as characterized by Lipper 
Analytical Services

IF YOU HAD INVESTED $10,000 IN JANUARY 1992 AND HELD YOUR INVESTMENT THROUGH 
FEBRUARY 29, 1996, REINVESTING ALL DISTRIBUTIONS, YOUR INVESTMENT WOULD HAVE 
GROWN TO $11,690. IN COMPARING THE FUND TO THE LEHMAN BROTHERS INDEX AND THE 
LIPPER AVERAGE, KEEP IN MIND THAT THE FUND'S PERFORMANCE REFLECTS THE SALES 
CHARGE, WHILE NO SUCH CHARGES ARE REFLECTED IN THE INDEX OR THE AVERAGE. PAST 
PERFORMANCE DOES NOT GUARANTEE FUTURE RESULTS.

AVERAGE ANNUAL TOTAL RETURNS
THROUGH 2/29/96, INCLUDING 1.5% SALES CHARGE

<TABLE>
<S>                                   <C>
One Year..............................6.26%
Since Inception (1/30/92).............3.90%
</TABLE>


FUND RESULTS INCLUDE REINVESTED DISTRIBUTIONS AND REFLECT THE ADJUSTABLE RATE 
MORTGAGE SECURITIES FUND'S MAXIMUM 1.5% SALES CHARGE AS IF IT WAS APPLIED 
SINCE THE FUND'S INCEPTION. PAST PERFORMANCE DOES NOT GUARANTEE FUTURE 
RESULTS.

ON SEPTEMBER 1, 1995, FOUR AMERICAN ADJUSTABLE RATE TERM TRUSTS MERGED INTO 
THE ADJUSTABLE RATE MORTGAGE SECURITIES FUND. ALL PERFORMANCE RESULTS ABOVE 
INCLUDE THE HISTORICAL NET ASSET VALUE PERFORMANCE THROUGH SEPTEMBER 1, 1995, 
OF AMERICAN ADJUSTABLE RATE TERM TRUST-1998, THE FUND'S PREDECESSOR FOR 
PERFORMANCE AND FINANCIAL REPORTING PURPOSES. 


months for coupons to reset by increasing the fund's allocation to GNMA ARM 
securities. These securities have coupons ranging from 6.0% to 7.38% that 
won't reset until the fourth quarter of 1996. In addition, we overweighted 
ARM securities indexed to the one-year Constant Maturity Treasury, which 
reset less frequently than LIBOR-based or Treasury bill-based ARM securities. 
The lower rates also caused many adjustable rate mortgage borrowers to prepay 
their mortgages and lock in a lower rate with fixed rate mortgages. This 
level of prepayments also reduced the fund's income level. That's because the 
fund purchased many of these mortgages at premium prices and the prepayments 
forced the fund to amortize these premiums more quickly. We reduced the 
fund's exposure to prepayments by selling higher cost, faster prepaying ARM 
securities for lower cost, slower prepaying ARM securities.

THESE ACTIONS, IN ADDITION TO A SMALLER CASH POSITION IN THE FUND, HAVE 
RESULTED IN A HIGHER LEVEL OF DIVIDEND INCOME TO SHAREHOLDERS. The dividend 
has increased from the September 1995 level of $0.0340 per share to the March 
1996 level of $0.0403 per share. The dividend policy for the fund is to 
distribute to shareholders substantially all of the investment income earned 
during any period. Therefore, we will not attempt to stabilize monthly 
distributions by retaining income in a dividend reserve. 

THE FUND IS STILL EXPERIENCING REDEMPTIONS THAT BEGAN AFTER THE MERGER LAST 
FALL. We have continued to meet redemption requests without disruption to the 
fund's net asset value or income. This has been accomplished by maintaining a 
small cash position in the fund at all times and by selling privately issued 
and U.S. government agency ARM securities or U.S. Treasury securities when 
necessary. 

THROUGHOUT MOST OF THE SEMIANNUAL PERIOD, THE FUND MAINTAINED A HIGH 
PERCENTAGE IN ARM SECURITIES. We believed they represented a good value when 
comparing their level of income to their price stability. As of February 29, 
85% of the fund's total assets were invested in ARM securities (see pie chart 
on page 2), with 69% issued by a U.S. government agency and 16% privately 
issued and rated AAA or AA by Standard and Poor's. Nearly all of these ARM 
securities had coupons which were indexed to the one-year Constant Maturity 
Treasury yield and which reset on an annual basis. 

                                       3

<PAGE>

                   ADJUSTABLE RATE MORTGAGE SECURITIES FUND


WHAT ARE ADJUSTABLE RATE MORTGAGE (ARM) SECURITIES?*

An ARM security represents ownership in a pool of adjustable rate mortgage 
loans. Payments on the ARM securities come from payments on the adjustable 
rate mortgages. When a borrower's mortgage rate resets to a higher (lower) 
rate due to changes in a market index, the coupon on the ARM security also 
resets to a higher (lower) level. This results in a larger (smaller) interest 
payment that is then passed through to investors. The borrower's loan 
document specifically states the dates on which the rate will change, the 
market index on which the new rate is based, and the margin by which the rate 
is set over the index rate. For example, many borrowers have loans indexed to 
the one-year Treasury rate plus a margin of 2.75%, which reset once a year. 
If, on the reset date, the one-year Treasury rate is 5.50%, the borrower's 
new rate for the following 12 months will increase to 8.25%. Likewise, the 
rate passed through to the investor will increase to 8.25% minus a mortgage 
servicer and guarantee fee. Almost all ARM loans have periodic reset caps and 
lifetime caps, which limit how often and how high rates can reset. Smaller 
periodic caps and lower lifetime caps work to the advantage of the borrower 
and to the disadvantage of the investor when rates are rising. Although ARM 
pools are made up of thousands of similarly indexed loans, in any particular 
month only a portion of the loans reset to a current market rate, creating 
lags in the adjustment process.

* ARM SECURITIES ARE DEFINED MORE BROADLY IN THE FUND'S PROSPECTUS. PLEASE 
SEE THE PROSPECTUS FOR A COMPLETE DEFINITION.

RECENT VOLATILITY IN THE BOND MARKET HAS CAUSED US TO REDUCE THE ARM 
SECURITIES PORTION OF THE FUND BY ABOUT 5% AND PURCHASE TWO-YEAR U.S. 
TREASURY NOTES. This volatility, and higher rates, were the result of good 
economic data concerning job growth that came out in March and April. 
Positive job growth data and a stronger economy reignite inflation concerns, 
which in turn cause rates to rise.

LOOKING AHEAD, WE EXPECT A RELATIVELY STABLE INTEREST RATE ENVIRONMENT 
THROUGH THE FUND'S FISCAL YEAR END IN AUGUST. The higher interest rates we're 
experiencing, and the additional income that now comes from extending 
maturities, could lead to opportunities in fixed rate securities and a 
reduction in the percentage of ARM securities the fund holds.

SINCE WE LAST REPORTED TO YOU IN OCTOBER, WE HAVE ADDED A NEW PORTFOLIO 
MANAGER TO THE FUND. Wan-Chong Kung joined the fund as a co-manager in 
December. Wan-Chong, a vice president and fixed income portfolio manager at 
Piper Capital Management, also assists with the management of Highlander 
Income Fund and several separately managed accounts. Prior to joining Piper 
Capital in 1993, Wan-Chong was a senior consultant for a financial services 
firm. She has four years of financial experience. Mike Jansen, who previously 
co-managed the fund, has left Piper Capital to pursue other career 
opportunities.

Thank you for your investment in the Adjustable Rate Mortgage Securities 
Fund. We remain committed to providing you with top-quality investment 
management and service.

Sincerely,

[sig]

Tom McGlinch
Portfolio Manager


                                       4

<PAGE>
- --------------------------------------------------------------------------------
                     INVESTMENTS IN SECURITIES (UNAUDITED)
 
ADJUSTABLE RATE MORTGAGE SECURITIES FUND
FEBRUARY 29, 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 SECURITIES (10.7%):
   U.S. Treasury Note, 6.38%, 6/30/97 ................. $  10,000,000      10,136,100
   U.S. Treasury Note, 6.00%, 11/30/97 ..................  23,000,000      23,218,500
   U.S. Treasury Note, 6.63%, 3/31/97 ...................   7,500,000       7,606,200
                                                                          -----------
 
    Total U.S. Government Securities
     (cost: $40,937,953)  ...............................                  40,960,800
                                                                          -----------
 
MORTGAGE-BACKED SECURITIES (87.7%):
 U.S. Agency Fixed Rate Mortgages (1.8%):
   10.00%, FNMA, 12/1/21 ................................   2,205,323       2,426,517
   9.00%, GNMA, 5/15/16 .................................   1,272,415       1,359,868
   10.00%, GNMA, 2/15/25 ................................   2,876,741       3,180,554
                                                                          -----------
                                                                            6,966,939
                                                                          -----------
 
 U.S. Agency Adjustable Rate Mortgages (67.4%):
   7.95%, FHLMC, 2/1/22 .................................  14,279,780      14,768,148
   8.01%, FHLMC, 9/1/22 .................................   4,485,622       4,602,651
   7.50%, FHLMC, 11/1/16 ................................   8,889,192       9,066,709
   8.00%, FHLMC, 5/1/17 .................................   3,199,579       3,252,979
   7.73%, FHLMC, 6/1/18 .................................   1,816,259       1,870,638
   7.74%, FHLMC, 1/1/21 .................................   5,230,181       5,340,643
   7.72%, FHLMC, 5/1/19 .................................   1,841,215       1,877,910
   7.77%, FHLMC, 10/1/18 ................................   6,029,254       6,197,712
   7.71%, FHLMC, 8/1/20 .................................   9,633,482       9,866,420
   7.69%, FNMA, 1/1/18 ..................................   1,876,024       1,940,165
   7.71%, FNMA, 1/1/29 ..................................   3,362,914       3,453,276
   7.40%, FNMA, 5/1/18 ..................................   6,690,528       6,827,282
   7.33%, FNMA, 3/1/28 ..................................   9,239,020       9,430,637
   7.43%, FNMA, 7/1/19 ..................................   2,572,057       2,626,276
   7.30%, FNMA, 11/1/17 .................................   8,863,650       8,981,270
   7.81%, FNMA, 1/1/20 ..................................   1,812,091       1,865,185
   7.55%, FNMA, 12/1/20 .................................   7,062,010       7,220,834
   7.49%, FNMA, 11/1/21 .................................   6,319,834       6,466,960
   7.33%, FNMA, 10/1/25 .................................   7,405,840       7,479,899
   7.00%, GNMA, 5/20/23 .................................  10,130,390      10,273,633
   7.25%, GNMA, 9/20/23 .................................   8,020,783       8,150,158
   7.00%, GNMA, 6/20/24 .................................   9,627,184       9,791,423
   6.50%, GNMA, 9/20/25 .................................  14,639,769      14,928,026
   6.00%, GNMA, 8/20/25 .................................  21,155,800      21,411,574
   6.00%, GNMA, 9/20/25 .................................  21,152,554      21,408,712
   7.00%, GNMA II, 7/20/22 ..............................   7,667,352       7,800,074
   7.25%, GNMA II, 7/20/22 ..............................  10,943,011      11,164,716
   7.00%, GNMA II, 6/20/22 ..............................   7,710,315       7,818,414
   7.38%, GNMA II, 6/20/23 ..............................  16,515,271      16,784,635
   7.00%, GNMA II, 8/20/21 ..............................   6,916,383       7,056,370
   7.00%, GNMA II, 10/20/21 .............................   6,772,966       6,914,047
                                                                          -----------
                                                                          256,637,376
                                                                          -----------
 
 Collateralized Mortgage Obligations (b) (18.5%):
  U.S. Agency Floating Rate (2.3%):
   4.88%, FHLMC 1693, Class FA, Treasury, 3/15/09 .......   9,139,139       8,789,568
                                                                          -----------
</TABLE>
 
<TABLE>
<CAPTION>
                                                           Principal        Market
Name of Issuer                                               Amount        Value (a)
- ---------------------------------------------------------  ----------     -----------
<S>                                                        <C>            <C>
 
 Private Floating Rate (16.2%):
   7.79%, Donaldson, Lufkin and Jenrette, Series
    1992-MF3, Class A3, LIBOR, 6/18/07 ................ $  13,000,000      13,130,000
   8.16%, Resolution Trust Corporation, Series 1991-8,
    Class A1, Treasury, 12/25/20 ........................  11,002,561      11,105,710
   7.85%, Resolution Trust Corporation, Series 1992-6,
    Class B3, Treasury, 1/25/26 .........................  23,345,266      23,491,174
   7.15%, Sears Mortgage Securities, Series 1991-K, Class
    A1, LIBOR, 9/25/21 ..................................  13,776,414      13,776,414
                                                                          -----------
                                                                           61,503,298
                                                                          -----------
 
    Total Mortgage-Backed Securities
     (cost: $335,964,435)  ..............................                 333,897,181
                                                                          -----------
 
SHORT-TERM SECURITIES (1.4%):
   Repurchase agreement with Goldman Sachs in a joint
    trading account collateralized by U.S. government
    agency securities, acquired on 2/29/96, accrued
    interest at repurchase date of $803, 5.42%, 3/1/96
    (cost: $5,331,000) ..................................   5,331,000       5,331,000
                                                                          -----------
 
    Total Investments in Securities (99.8%)
     (cost: $382,233,388) (c)  ..........................                 380,188,981
                                                                          -----------
 
    Other assets in excess of liabilities (0.2%)  .......                     599,523
                                                                          -----------
    Net assets (100.0%) ............................... $                 380,788,504
                                                                          -----------
                                                                          -----------
</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.
         FLOATING RATE - REPRESENT SECURITIES THAT PAY INTEREST AT RATES THAT
          INCREASE (DECREASE) WITH AN INCREASE (DECREASE) IN A SPECIFIED INDEX.
(C)  ALSO REPRESENTS COST FOR FEDERAL INCOME TAX PURPOSES. THE AGGREGATE GROSS
     UNREALIZED APPRECIATION AND DEPRECIATION OF INVESTMENTS IN SECURITIES BASED
     ON THIS COST WERE AS FOLLOWS:
 
<TABLE>
      <S>                                   <C>
      GROSS UNREALIZED APPRECIATION .... $     631,844
      GROSS UNREALIZED DEPRECIATION ......  (2,676,251)
                                            ----------
        NET UNREALIZED DEPRECIATION .... $  (2,044,407)
                                            ----------
                                            ----------
</TABLE>
 
                                       5
<PAGE>
- --------------------------------------------------------------------------------
                        FINANCIAL STATEMENTS (UNAUDITED)
 
STATEMENT OF ASSETS AND LIABILITIES
FEBRUARY 29, 1996
 
<TABLE>
<S>                                                           <C>
ASSETS:
  Investments in securities at market value* (including a
    repurchase agreement of $5,331,000) (note 2) ......... $     380,188,981
  Cash in bank on demand deposit ...........................          26,385
  Mortgage security paydowns receivable ....................         958,307
  Accrued interest receivable ..............................       3,052,533
                                                              ----------------
      Total assets .........................................     384,226,206
                                                              ----------------
 
LIABILITIES:
  Dividends payable to shareholders ($0.0407 per share) ....       1,924,914
  Payable for fund shares redeemed .........................       1,244,988
  Accrued investment management fee ........................         109,211
  Accrued distribution fee .................................         158,589
                                                              ----------------
      Total liabilities ....................................       3,437,702
                                                              ----------------
Net assets applicable to outstanding capital stock ....... $     380,788,504
                                                              ----------------
                                                              ----------------
 
REPRESENTED BY:
  Capital stock - authorized 1 billion shares of $0.01 par
    value; outstanding, 47,281,277 shares ................ $         472,813
  Additional paid-in capital ...............................     526,223,960
  Undistributed net investment income ......................          57,012
  Accumulated net realized loss on investments .............    (143,920,874)
  Unrealized depreciation of investments ...................      (2,044,407)
                                                              ----------------
      Total - representing net assets applicable to
        outstanding capital stock ........................ $     380,788,504
                                                              ----------------
                                                              ----------------
 
Net asset value per share of outstanding capital stock ... $            8.05
                                                              ----------------
                                                              ----------------
 
* Investments in securities at identified cost ........... $     382,233,388
                                                              ----------------
                                                              ----------------
</TABLE>
 
                 SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
                                       6
<PAGE>
- --------------------------------------------------------------------------------
                        FINANCIAL STATEMENTS (UNAUDITED)
 
STATEMENT OF OPERATIONS
FOR THE SIX MONTHS ENDED FEBRUARY 29, 1996
 
<TABLE>
<S>                                                           <C>
INCOME:
  Interest ............................................... $     17,006,142
                                                              ----------------
 
EXPENSES (NOTE 3):
  Investment management fee ................................        916,089
  Distribution fees ........................................        395,218
  Custodian, accounting and transfer agent fees ............        463,088
  Shareholder account servicing fees .......................         21,055
  Registration fees ........................................         69,631
  Reports to shareholders ..................................         54,111
  Directors' fees ..........................................         17,603
  Audit and legal fees .....................................         26,751
  Other expenses ...........................................         29,844
                                                              ----------------
      Total expenses .......................................      1,993,390
  Less expenses waived by the adviser ......................       (375,349)
                                                              ----------------
    Net expenses before expenses paid indirectly ...........      1,618,041
  Less expenses paid indirectly ............................         (9,013)
                                                              ----------------
      Total net expenses ...................................      1,609,028
                                                              ----------------
 
      Net investment income ................................     15,397,114
                                                              ----------------
 
NET REALIZED AND UNREALIZED GAINS (LOSSES) ON INVESTMENTS:
  Net realized loss on investments (note 4) ................     (1,876,436)
  Net change in unrealized appreciation or depreciation of
    investments ............................................      6,268,848
                                                              ----------------
    Net gain on investments ................................      4,392,412
                                                              ----------------
 
      Net increase in net assets resulting from
        operations ....................................... $     19,789,526
                                                              ----------------
                                                              ----------------
</TABLE>
 
                 SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
                                       7
<PAGE>
- --------------------------------------------------------------------------------
                              FINANCIAL STATEMENTS
 
STATEMENTS OF CHANGES IN NET ASSETS
 
<TABLE>
<CAPTION>
                                                              Six Months Ended
                                                                  2/29/96           Year Ended
                                                                (Unaudited)          8/31/95*
                                                              ----------------   ----------------
 
<S>                                                           <C>                <C>
OPERATIONS:
  Net investment income .................................. $      15,397,114        23,499,426
  Net realized loss on investments .........................      (1,876,436)      (20,761,474)
  Net change in unrealized appreciation or depreciation of
    investments .                                                  6,268,848        17,558,315
                                                              ----------------   ----------------
 
    Net increase in net assets resulting from operations ...      19,789,526        20,296,267
                                                              ----------------   ----------------
 
DISTRIBUTIONS TO SHAREHOLDERS:
  From net investment income ...............................     (15,340,102)      (27,746,007)
                                                              ----------------   ----------------
 
CAPITAL SHARE TRANSACTIONS:
  Proceeds from sales of 344,857 shares ....................       2,765,136                --
  Proceeds from issuance of 959,489 shares for reinvestment
    of distributions .......................................       7,705,791                --
  Payments for 105,492,397 shares redeemed .................    (845,180,658)               --
  Payments for retirement of 488,000 shares (note 6) .......              --        (3,579,372)
  Payments for tender of 9,135,819 shares respectively (note
    7) .....................................................              --       (79,726,515)
  Net asset value of 104,403,211 shares issued in connection
    with merger transaction** (note 9) .....................     801,742,686                --
                                                              ----------------   ----------------
    Decrease in net assets from capital share
      transactions .........................................     (32,967,045)      (83,305,887)
                                                              ----------------   ----------------
      Total decrease in net assets .........................     (28,517,621)      (90,755,627)
 
Net assets at beginning of period ..........................     409,306,125       500,061,752
                                                              ----------------   ----------------
 
Net assets at end of period .............................. $     380,788,504       409,306,125
                                                              ----------------   ----------------
                                                              ----------------   ----------------
 
Undistributed net investment income ...................... $          57,012                --
                                                              ----------------   ----------------
                                                              ----------------   ----------------
</TABLE>
 
                  * REPRESENTS HISTORICAL FINANCIAL INFORMATION OF AMERICAN
                    ADJUSTABLE RATE TERM TRUST 1998.
                 ** INCLUDES 100,218,356 SHARES ISSUED IN CONNECTION WITH THE
                    MERGER OF AMERICAN ADJUSTABLE RATE TERM TRUST 1996, AMERICAN
                    ADJUSTABLE RATE TERM TRUST 1997 AND AMERICAN ADJUSTABLE RATE
                    TERM TRUST 1999, AND AN INCREASE OF 4,184,855 SHARES DUE TO
                    THE DIFFERENCE BETWEEN THE ENDING NET ASSET VALUE PER SHARE
                    OF AMERICAN ADJUSTABLE RATE TERM TRUST 1998 AND THE INITIAL
                    NET ASSET VALUE PER SHARE OF THE FUND.
                 SEE ACCOMPANYING NOTES TO FINANCIAL STATEMENTS.
 
                                       8
<PAGE>
- --------------------------------------------------------------------------------
                   NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
 
(1) ORGANIZATION
                 Piper Funds Inc. - II (the company) was
                 incorporated on April 10, 1995 and is
                 registered under the Investment Company Act of
                 1940 (as amended) as a single, open-end
                 investment management company. The company
                 currently includes only the Adjustable Rate
                 Mortgage Securities Fund (the fund), which is
                 classified as a diversified fund. The
                 company's articles of incorporation permit the
                 board of directors to create additional funds
                 in the future.
                 The fund invests primarily in adjustable rate
                 mortgage (ARM) securities. It may also invest
                 in mortgage-backed securities other than ARM
                 securities, U.S. government securities,
                 asset-backed securities and corporate debt
                 securities.
 
                 For financial reporting purposes, American
                 Adjustable Rate Term Trust 1998 (DDJ) (a
                 closed-end fund) is considered the surviving
                 entity of the merger of American Adjustable
                 Rate Term Trust 1996 (BDJ), American
                 Adjustable Rate Term Trust 1997 (CDJ),
                 American Adjustable Rate Term Trust 1998 (DDJ)
                 and American Adjustable Rate Term Trust 1999
                 (EDJ) into Piper Funds Inc. - II Adjustable
                 Rate Mortgage Securities Fund, which was
                 effective September 1, 1995. As such, only
                 historical financial information of DDJ is
                 relevant with respect to the future financial
                 reporting of Piper Funds Inc. - II Adjustable
                 Rate Mortgage Securities Fund.
 
(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. 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 purchase
                 and write put and call options which are
                 exchange-traded and cannot write call options
                 that are not covered. 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 in
                 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 sales for 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.
 
                                       9
<PAGE>
- --------------------------------------------------------------------------------
                   NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
 
                 FUTURES TRANSACTIONS
                 In order to gain exposure to or protect
                 against changes in the market, the fund may
                 buy and sell interest rate futures contracts
                 and related options. Risks of entering into
                 futures contracts and related options include
                 the possibility of 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 the 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, the fund may
                 purchase and sell interest rate caps and
                 floors. 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 another party to a transaction
                 may not perform.
 
                 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 one month or more after the
                 transaction date. During this period, such
                 securities do not earn interest, are subject
                 to market fluctuations and may increase or
                 decrease in value prior to their delivery. The
                 fund maintains, in a segregated account with
                 its custodian, cash or securities 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 February
                 29, 1996, the fund had no outstanding
                 when-issued or forward commitments.
 
                 FEDERAL TAXES
                 The fund's policy is 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.
 
                 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 for tax purposes,
                 and losses deferred due to "wash sale" and
                 "straddle" transactions. The character of
                 distributions made during the year from net
                 investment income or net realized gains may
                 differ from their ultimate characterization
                 for federal income tax purposes. Also, due to
                 the
 
                                       10
<PAGE>
- --------------------------------------------------------------------------------
                   NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
 
                 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.
 
                 DISTRIBUTIONS
                 Distributions to shareholders from net
                 investment income for the fund will be
                 declared daily and paid monthly in cash or
                 reinvested in additional shares. Distributions
                 from net realized gains, if any, will be made
                 on at least an annual basis.
 
                 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 agreements. Provisions for all
                 agreements ensure the daily market value of
                 the collateral is in excess of the repurchase
                 amount in the event of default.
 
                 USE OF ESTIMATES
                 The preparation of financial statements in
                 conformity with generally accepted accounting
                 principles requires management to make
                 estimates and assumptions that affect the
                 reported amounts of assets and liabilities,
                 the disclosure of contingent assets and
                 liabilities at the date of the financial
                 statements, and the results of operations
                 during the reporting period. Actual results
                 could differ from those estimates.
 
(3) EXPENSES
                 The Company has entered into an investment
                 management agreement with Piper Capital
                 Management Incorporated (Piper Capital) under
                 which Piper Capital manages the fund's assets
                 and furnishes related office facilities,
                 equipment, research and personnel. The
                 agreement requires the fund to pay Piper
                 Capital a monthly fee based on its average
                 daily net assets. The fee is equal to an
                 annual rate of 0.35% of the first $500 million
                 in net assets and 0.30% of net assets in
                 excess of $500 million.
 
                 The fund will pay Piper Jaffray Inc. (Piper
                 Jaffray) a monthly fee for expenses incurred
                 in the distribution and promotion of fund
                 shares. The fee is limited to an annual rate
                 of 0.15% of the fund's average daily net
                 assets and is payable as a servicing fee.
 
                 The fund has also entered into shareholder
                 account servicing agreements under which 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 such services, are equal to an
                 annual rate of $6.00 per active shareholder
                 account, and $1.60 per closed shareholder
                 account.
 
                 In addition to these fees the fund is
                 responsible for paying most other operating
                 expenses including outside directors' fees and
                 expenses, custodian fees, registration fees,
                 printing and shareholder reports, transfer
                 agent fees and expenses, legal, auditing and
                 accounting services, insurance, interest,
                 taxes and other miscellaneous expenses.
 
                 Sales charges paid to Piper Jaffray for
                 distributing the fund's shares were $4,792 for
                 the six months ended February 29, 1996.
 
                                       11
<PAGE>
- --------------------------------------------------------------------------------
                   NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
 
                 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 temporary investments
                 in short-term securities) for the six months
                 ended February 29, 1996, were $115,831,023 and
                 $763,165,053, respectively.
 
                 During the six months ended February 29, 1996,
                 the fund paid Piper Jaffray Inc., an
                 affiliated broker, no brokerage commissions.
 
(5) CAPITAL LOSS
    CARRYOVER
                 For federal income tax purposes, after giving
                 effect to capital loss carryovers acquired in
                 the merger, the fund had capital loss
                 carryovers of $141,672,558 at September 1,
                 1995. If these loss carryovers are not offset
                 by subsequent capital gains, they will expire
                 at various times during 1999 through 2002. It
                 is unlikely the board of directors will
                 authorize a distribution of any net realized
                 capital gains until the available capital loss
                 carryovers have been offset or expire.
 
(6) RETIREMENT OF FUND
    SHARES
                 The board of directors of DDJ (a closed-end
                 fund) had approved a plan to repurchase shares
                 of the fund in the open market and retire
                 those shares. Repurchases were only made when
                 the previous day's closing market price was at
                 a discount from net asset value. Daily
                 repurchases were limited to 25% of the
                 previous four weeks average daily trading
                 volume on the New York Stock Exchange. Under
                 the plan, cumulative repurchases were limited
                 to 3% of the total shares originally issued.
                 Pursuant to the plan, DDJ cumulatively
                 repurchased and retired 823,000 shares (1.44%
                 of originally issued shares) as of August 31,
                 1995.
 
(7) TENDER OFFER OF
   FUND SHARES
                 On August 22, 1994, shareholders of DDJ
                 approved a fundamental policy that allowed
                 shareholders to periodically tender their
                 shares back to the fund at net asset value.
 
                 A tender offer to repurchase up to 25% of
                 DDJ's outstanding shares was mailed to
                 shareholders on September 6, 1994. The
                 deadline for participating in the offer was
                 October 3, 1994. The repurchase price was
                 determined on October 10, 1994, at the close
                 of the New York Stock Exchange (4 p.m. Eastern
                 Time). Proceeds from the tender offer were
                 paid to shareholders on October 17, 1994. The
                 total proceeds (including tender fees) paid by
                 DDJ as well as the number and percentage of
                 shares tendered were as follows:
 
<TABLE>
<CAPTION>
                Percentage      Shares      Proceeds
                 Tendered      Tendered       Paid
              ---------------  ---------  ------------
<S>           <C>              <C>        <C>
                       16%     9,135,819  $ 79,726,515
</TABLE>
 
(8) PENDING LITIGATION
                 On October 20, 1994, a complaint was filed by
                 Herman D. Gordon in the U.S. District Court
                 for the District of Minnesota against DDJ,
                 EDJ, Piper Jaffray Companies Inc. (Piper
                 Companies), Piper Capital Management
                 Incorporated (Piper Capital), Piper Jaffray
                 Inc. (Piper Jaffray) and certain associated
                 individuals. A second complaint was filed on
                 April 14, 1995, in the same court by Frank
                 Donio, I.R.A., and other plaintiffs against
                 BDJ, CDJ, DDJ and EDJ, Piper Companies, Piper
                 Capital, Piper Jaffray and certain associated
                 individuals. Plaintiffs in both actions filed
                 a Consolidated Amended Class Action Complaint
                 on May 23, 1995, alleging violations of
                 certain federal and state securities laws.
                 Piper Companies and Piper Capital have agreed
                 to indemnify Piper Funds Inc. II Adjustable
                 Rate Mortgage Securities Fund (as the
                 successor by merger to BDJ, CDJ, DDJ and EDJ)
                 against any expenses or losses incurred in
                 connection with such complaint. The parties
                 have
 
                                       12
<PAGE>
- --------------------------------------------------------------------------------
                   NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
 
                 reached an agreement-in-principal to settle
                 all outstanding claims of the purported class
                 action. If approved by the Court and a
                 sufficiently large percentage of the class, a
                 settlement agreement consistent with the terms
                 of the agreement-in-principle would provide
                 $14 million in principal payments consisting
                 of $500,000 payable upon execution of the
                 settlement agreement, $1.5 million payable
                 upon final approval by the court, and payments
                 of $3 million on each anniversary of the final
                 court approval for the next four years, with
                 accrued interest payments of up to $1.8
                 million.
 
(9) MERGER
                 As described in note 1, BDJ, CDJ, DDJ and EDJ
                 were combined on September 1, 1995 to create
                 the fund. The merger was accounted for as a
                 tax free reorganization. The following table
                 presents the shares issued by the fund in
                 exchange for the net assets of BDJ, CDJ, DDJ
                 and EDJ and the composition of such net assets
                 at September 1, 1995.
 
<TABLE>
<CAPTION>
                                                        BDJ            CDJ            EDJ          Total(a)         DDJ
                                                    ------------   ------------   ------------   ------------   ------------
<S>                                                 <C>            <C>            <C>            <C>            <C>
Shares issued by Adjustable Rate Mortgage
 Securities fund on 9/1/95 .......................    23,619,989     46,350,330     30,248,037    100,218,356     51,250,972
                                                    ------------   ------------   ------------   ------------   ------------
                                                    ------------   ------------   ------------   ------------   ------------
Net assets of acquired funds on 9/1/95 ......... $   188,958,910    370,800,763    241,983,013    801,742,686    410,006,496
                                                    ------------   ------------   ------------   ------------   ------------
                                                    ------------   ------------   ------------   ------------   ------------
Composition of net assets:
  Capital stock ................................ $   212,202,280    413,741,503    274,887,229    900,831,012    460,623,794
  Accumulated net realized loss on investments ...   (21,813,013)   (41,193,687)   (31,942,871)   (94,949,571)   (47,214,017)
  Unrealized depreciation of investments..........    (1,430,357)    (1,747,053)      (961,345)    (4,138,755)    (3,403,281)
                                                    ------------   ------------   ------------   ------------   ------------
                                                 $   188,958,910    370,800,763    241,983,013    801,742,686    410,006,496
                                                    ------------   ------------   ------------   ------------   ------------
                                                    ------------   ------------   ------------   ------------   ------------
</TABLE>
 
(A)  SINCE DDJ IS CONSIDERED THE SURVIVING ENTITY FOR FINANCIAL REPORTING
     PURPOSES THE COMBINED NET ASSETS OF BDJ, CDJ AND EDJ ARE PRESENTED AS BEING
     ACQUIRED BY THE SURVIVING ENTITY IN THE STATEMENT OF CHANGES IN NET ASSETS.
 
                                       13
<PAGE>
- --------------------------------------------------------------------------------
                   NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
 
(10) FINANCIAL
     HIGHLIGHTS
                 Per-share data for a share of capital stock
                 outstanding throughout each period and
                 selected information for each period are as
                 follows:
<TABLE>
<CAPTION>
                                                    Six Months
                                                       Ended       Year      Year      Year
                                                      2/29/96      Ended     Ended     Ended    Period Ended
                                                    (Unaudited)   8/31/95   8/31/94   8/31/93    8/31/92(b)
                                                    -----------   -------   -------   -------   ------------
<S>                                                 <C>           <C>       <C>       <C>       <C>
PER-SHARE DATA (A)
 
Net asset value, beginning of period ........... $     7.99        8.10      8.88      8.95         8.80
                                                      -----       -------   -------   -------      -----
Operations:
  Net investment income ..........................     0.25        0.47      0.55      0.63         0.40
  Net realized and unrealized gains (losses) on
    investments ..................................     0.04       (0.05)    (0.82)    (0.09)        0.07
                                                      -----       -------   -------   -------      -----
    Total from operations ........................     0.29        0.42     (0.27)     0.54         0.47
                                                      -----       -------   -------   -------      -----
Distributions to shareholders:
  From net investment income .....................    (0.23)      (0.53)    (0.51)    (0.61)       (0.32)
                                                      -----       -------   -------   -------      -----
Net asset value, end of period ................. $     8.05        7.99      8.10      8.88         8.95
                                                      -----       -------   -------   -------      -----
                                                      -----       -------   -------   -------      -----
 
SELECTED INFORMATION (A)
 
Total investment return (c) ......................     3.51%       5.43%    -3.18%     6.24%        5.49%
 
Net assets at end of period (in millions) ...... $      381         409       500       551          555
Ratio of expenses to average net assets (d) ......     0.60%(f)    0.63%     0.60%     0.58%        0.58%(f)
Ratio of net investment income to average net
  assets (d) .....................................     5.73%(f)    5.62%     6.39%     7.25%        7.70%(f)
Portfolio turnover rate (excluding short-term
  securities) ....................................       25%         36%       39%       39%          41%
Amount of borrowings outstanding at end of period
  (in millions) (e) ............................ $      n/a          --       145       145          145
Average amount of borrowings outstanding during
  the period (in millions) (e) ................. $      n/a          57       145       149           90
Average number of shares outstanding during the
  period (in millions) (e) .......................      n/a          53        62        62           52
Average per-share amount of borrowings outstanding
  during the period (e) ........................ $      n/a        1.09      2.34      2.41         1.67
</TABLE>
 
(A)  ON SEPTEMBER 1, 1995 FOUR CLOSED-END FUNDS, AMERICAN ADJUSTABLE RATE TERM
     TRUST 1996, AMERICAN ADJUSTABLE RATE TERM TRUST 1997, AMERICAN ADJUSTABLE
     RATE TERM TRUST 1998 (DDJ) AND AMERICAN ADJUSTABLE RATE TERM TRUST 1999
     WERE COMBINED TO CREATE THE FUND. DDJ IS CONSIDERED THE SURVIVING ENTITY
     FOR FINANCIAL REPORTING PURPOSES. THE FINANCIAL HIGHLIGHTS PRESENTED FOR
     THE PERIODS PRIOR TO SEPTEMBER 1, 1995 ARE THOSE OF DDJ. THE PER SHARE
     INFORMATION FOR SUCH PERIODS HAS BEEN RESTATED TO REFLECT THE IMPACT OF
     ADDITIONAL SHARES CREATED RESULTING FROM THE DIFFERENCE IN THE NET ASSET
     VALUE PER SHARE OF DDJ AT THE TIME OF THE MERGER ($8.71) AND THE INITIAL
     NET ASSET VALUE PER SHARE OF THE FUND ($8.00).
(B)  COMMENCEMENT OF OPERATIONS OF DDJ WAS JANUARY 30, 1992.
(C)  TOTAL INVESTMENT RETURN IS BASED ON THE CHANGE IN NET ASSET VALUE, ASSUMES
     REINVESTMENT OF DISTRIBUTIONS AT NET ASSET VALUE AND DOES NOT REFLECT A
     SALES CHARGE.
(D)  VARIOUS FEES AND EXPENSES OF THE FUND WERE VOLUNTARILY WAIVED OR ABSORBED
     BY PIPER CAPITAL DURING FISCAL YEAR 1996. THE ANNUALIZED RATIOS OF EXPENSES
     AND NET INVESTMENT INCOME TO AVERAGE DAILY NET ASSETS WOULD HAVE BEEN
     0.74%/5.59%, RESPECTIVELY, FOR THE SIX MONTHS ENDED 2/29/96. BEGINNING IN
     FISCAL YEAR 1996, THE EXPENSE RATIO REFLECTS THE EFFECT OF GROSS EXPENSES
     PAID INDIRECTLY BY THE FUND. PRIOR PERIOD EXPENSE RATIOS HAVE NOT BEEN
     ADJUSTED.
(E)  DDJ WAS A CLOSED-END INVESTMENT MANAGEMENT COMPANY AND WAS PERMITTED TO
     ENTER INTO BORROWINGS FOR OTHER THAN TEMPORARY OR EMERGENCY PURPOSES.
     ADJUSTABLE RATE MORTGAGE SECURITIES FUND MAY BORROW ONLY FOR TEMPORARY OR
     EMERGENCY PURPOSES.
(F)  ADJUSTED TO AN ANNUAL BASIS.
 
                                       14
<PAGE>
- --------------------------------------------------------------------------------
                DIRECTORS AND OFFICERS OF PIPER FUNDS INC. - II
 
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, CHAIRMAN OF THE BOARD, PRESIDENT, PIPER
                          CAPITAL MANAGEMENT INCORPORATED,
                          PIPER JAFFRAY COMPANIES INC.
                      Karol D. Emmerich, PRESIDENT, THE PARACLETE GROUP
                      Luella G. Goldberg, DIRECTOR, TCF FINANCIAL, RELIASTAR
                          CORP., HORMEL FOODS CORP.
                      George Latimer, CHIEF EXECUTIVE OFFICER, NATIONAL EQUITY
                          FUNDS
 
OFFICERS              Paul A. Dow, PRESIDENT
                      Robert H. Nelson, SENIOR VICE PRESIDENT/TREASURER
                      Thomas S. McGlinch, SENIOR VICE PRESIDENT
                      Amy K. Johnson, VICE PRESIDENT
                      Susan 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
 
                                       15
<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
                                                                ---------------

        PIPER JAFFREY INC., FUND DISTRIBUTOR AND NASD MEMBER.
[LOGO]  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 name 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
115-96    PJARX-02    5/96


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