ALLIANCE MONEY MARKET FUND
497, 1998-09-21
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     This is filed pursuant to Rule 497(e).
     File Nos.: 033-85850 and 811-08838


Alliance Money Market Fund (the "Fund") is an open-end management investment 
company comprised of seven portfolios (the "Portfolios"), three of which are 
offered by this Prospectus. The Fund is a money market fund with investment 
objectives of safety, liquidity and maximum current income (in the case of the 
General Municipal Portfolio, exempt from Federal income taxes), to the extent 
consistent with the first two objectives. The Prime, Government and General 
Municipal Portfolios are diversified. This Prospectus sets forth the 
information about each Portfolio that a prospective investor should know before 
investing. Please retain it for future reference. You will receive semi-annual 
and annual reports of your particular Portfolio.

AN INVESTMENT IN A PORTFOLIO IS (I) NEITHER INSURED NOR GUARANTEED BY THE U.S. 
GOVERNMENT; (II) NOT A DEPOSIT OR OBLIGATION OF, OR GUARANTEED OR ENDORSED BY, 
ANY BANK; AND (III) NOT FEDERALLY INSURED BY THE FEDERAL DEPOSIT INSURANCE 
CORPORATION, THE FEDERAL RESERVE BOARD OR ANY OTHER AGENCY. THERE CAN BE NO 
ASSURANCE THAT A PORTFOLIO WILL BE ABLE TO MAINTAIN A STABLE NET ASSET VALUE OF 
$1.00 PER SHARE.

A "Statement of Additional Information" for the Fund dated April 1, 1998, which 
provides a further discussion of certain areas in this Prospectus and other 
matters which may be of interest to some investors, has been filed with the 
Securities and Exchange Commission and is incorporated herein by reference. For 
a free copy, contact Discover Brokerage Direct.

THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND 
EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES 
AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE 
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS 
A CRIMINAL OFFENSE.



A MORGAN STANLEY DEAN WITTER COMPANY

FEATURING...


ALLIANCE MONEY MARKET FUND 

- - PRIME PORTFOLIO
- - GOVERNMENT PORTFOLIO
- - GENERAL MUNICIPAL PORTFOLIO


PROSPECTUS
APRIL 1, 1998


333 MARKET STREET, 25TH FLOOR
SAN FRANCISCO, CA94105
WWW.DISCOVERBROKERAGE.COM
MEMBER NASD/SIPC 



                            EXPENSE INFORMATION


SHAREHOLDER TRANSACTION EXPENSES
The Portfolios have no sales load on purchases or reinvested dividends, 
deferred sales load, redemption fee or exchange fee.

ANNUAL PORTFOLIO OPERATING EXPENSES
(as a percentage of average net assets, after voluntary expense reimbursement)

                                                                       GENERAL
                                          PRIME        GOVERNMENT     MUNICIPAL
                                        ----------     ----------    ----------
Management Fees                            .50%           .50%           .50%
12b-1 Fees                                 .45%           .45%           .45%
Other Expenses                             .05%           .05%           .05%
Total Portfolio Operating Expenses        1.00%          1.00%          1.00%


EXAMPLE
You would pay the following expenses on a $1,000 investment, assuming a 5% 
annual return (cumulatively through the end of each time period):

                           1 YEAR       3 YEARS        5 YEARS        10 YEARS
                           ------       -------        -------        --------
Prime                        $10            $32            $55           $122
Government                    10             32             55            122
General Municipal             10             32             55            122

The purpose of the foregoing table is to assist the investor in understanding 
the various costs and expenses that an investor in a Portfolio will bear 
directly or indirectly. The expenses listed in the table for the Prime, 
Government and General Municipal Portfolios are net of voluntary expense 
reimbursements. The expenses of such Portfolios before expense reimbursements 
would be: Prime Portfolio: Management Fees-.50%, 12b-1 fees-.45%, Other 
Expenses-.11% and Total Operating Expenses-1.06%; Government Portfolio: 
Management Fees-.50%, 12b-1 fees-.45%, Other Expenses-.30% and Total Operating 
Expenses-1.25%; General Municipal Portfolio: Management Fees-.50%, 12b-1 
fees-.45%, Other Expenses-.26% and Total Operating Expenses-1.21%.  THE EXAMPLE 
SHOULD NOT BE CONSIDERED A REPRESENTATION OF PAST OR FUTURE EXPENSES; ACTUAL 
EXPENSES MAY BE GREATER OR LESS THAN THOSE SHOWN.


  FINANCIAL HIGHLIGHTS FOR A SHARE OUTSTANDING THROUGHOUT THE PERIOD (AUDITED)


The following table has been audited by McGladrey & Pullen LLP, the Fund's 
independent auditors, whose report thereon appears in the Statement of 
Additional Information. This information should be read in conjunction with the 
financial statements and notes thereto included in the Statement of Additional 
Information.

<TABLE>
<CAPTION>
                                                GENERAL MUNICIPAL              PRIME                   GOVERNMENT
                                                    PORTFOLIO                PORTFOLIO                 PORTFOLIO
                                             ------------------------  ------------------------  ------------------------
                                                             DEC. 13,                 DEC. 29,                  DEC.29,
                                                             1995(A)                  1995(A)                   1995(A)
                                              YEAR ENDED       TO       YEAR ENDED       TO      YEAR ENDED        TO
                                               NOV. 30,      NOV. 30,     NOV. 30,    NOV. 30,     NOV. 30,     NOV. 30,
                                                 1997         1996         1997         1996         1997         1996
                                             -----------  -----------  -----------  -----------  -----------  -----------
<S>                                          <C>            <C>          <C>          <C>          <C>          <C>
Net asset value, beginning of period           $1.00        $1.00        $1.00        $1.00        $1.00        $1.00

INCOME FROM INVESTMENT OPERATIONS
Net investment income (b)                       .029         .027         .046         .041         .045         .041

LESS: DIVIDENDS
Dividends from net investment income           (.029)       (.027)       (.046)       (.041)       (.045)       (.041)
Net asset value, end of period                 $1.00        $1.00        $1.00        $1.00        $1.00        $1.00

TOTAL RETURN
Total investment return based on:
  net asset value (c)                           2.92%        2.80%(d)     4.75%        4.58%(d)     4.64%        4.52%(d)

RATIOS/SUPPLEMENTAL DATA
Net assets, end of period (in millions)         $137         $123       $3,298       $2,772         $124         $100
Ratio to average net assets of:
  Expenses, net of waivers and reimbursements   1.00%        1.00%(d)     1.00%        1.00%(d)     1.00%        1.00%(d)
  Expenses, before waivers and reimbursements   1.21%        1.39%(d)     1.06%        1.23%(d)     1.25%        1.42%(d)
  Net investment income (b)                     2.87%        2.76%(d)     4.65%        4.50%(d)     4.54%        4.45%(d)
</TABLE>


(a)  Commencement of operations.

(b)  Net of expenses reimbursed or waived by the Adviser.

(c)  Total investment return is calculated assuming an initial investment made 
at the net asset value at the beginning of the period, reinvestment of all 
dividends and distributions at net asset value during the period, and 
redemption on the last day of period.

(d)  Annualized.

From time to time each Portfolio advertises its "yield" and "effective yield." 
Both yield figures are based on historical earnings and are not intended to 
indicate future performance. To calculate the "yield," the amount of dividends 
paid 


2


on a share during a specified seven-day period is assumed to be paid each week 
over a 52-week period and is shown as a percentage of the investment. To 
calculate "effective yield," which will be higher than the "yield" because of 
compounding, the dividends paid are assumed to be reinvested. Dividends for the 
Prime Portfolio for the seven days ended November 30, 1997, amounted to an 
annualized yield of 4.74%, equivalent to an effective yield of 4.85%. Absent 
expense reimbursement, the annualized yield for this period would have been 
4.68%, equivalent to an effective yield of 4.79%. Dividends for the Government 
Portfolio for the seven days ended November 30, 1997, amounted to an annualized 
yield of 4.67%, equivalent to an effective yield of 4.78%. Absent expense 
reimbursement, the annualized yield for this period would have been 4.42%, 
equivalent to an effective yield of 4.53%. Dividends for the General Municipal 
Portfolio for the seven days ended November 30, 1997, amounted to an annualized 
yield of 3.06%, equivalent to an effective yield of 3.11%. Absent expense 
reimbursement, the annualized yield for this period would have been 2.85%, 
equivalent to an effective yield of 2.90%.


                     INVESTMENT OBJECTIVES AND POLICIES


The investment objectives of each Portfolio are--in the following order of 
priority--safety of principal, excellent liquidity and, to the extent 
consistent with the first two objectives, maximum current income (exempt from 
income taxes to the extent described below in the case of the General Municipal 
Portfolio). As a matter of fundamental policy, each Portfolio pursues its 
objectives by maintaining a portfolio of high-quality money market securities. 
While no Portfolio may change this policy or the other fundamental investment 
policies (described below) without shareholder approval, it may, upon notice to 
shareholders, but without such approval, change non-fundamental investment 
policies or create additional series or classes of shares in order to establish 
portfolios which may have different investment objectives. There can be no 
assurance that any Portfolio's objectives will be achieved.

The Portfolios will comply with Rule 2a-7 under the Investment Company Act of 
1940 (the "1940 Act"), as amended from time to time, including the 
diversification, quality and maturity limitations imposed by the Rule. 
Accordingly, each Portfolio will invest in securities which, at the time of 
investment, have remaining maturities not exceeding 397 days, and the average 
maturity of each Portfolio's investment portfolio will not exceed 90 days. A 
more detailed description of Rule 2a-7 is set forth in the Fund's Statement of 
Additional Information. To the extent that each Portfolio's limitations are 
more permissive than Rule 2a-7, the Portfolio will comply with the more 
restrictive provisions of the Rule.


PRIME PORTFOLIO

The money market securities in which the Prime Portfolio invests include: (1) 
marketable obligations of, or guaranteed by, the United States Government, its 
agencies or instrumentalities (collectively, the "U.S. Government"); (2) 
certificates of deposit, bankers' acceptances and interest-bearing savings 
deposits issued or guaranteed by banks or savings and loan associations having 
total assets of more than $1 billion and which are members of the Federal 
Deposit Insurance Corporation and certificates of deposit and bankers' 
acceptances denominated in U.S. dollars and issued by U.S. branches of foreign 
banks having total assets of at least $1 billion that are believed by Alliance 
Capital Management L.P. (the "Adviser") to be of quality equivalent to that of 
other such instruments in which the Portfolio may invest; (3) commercial paper, 
including variable amount master demand notes, of prime quality [i.e., rated 
A-1+ or A-1 by Standard & Poor's Corporation ("Standard & Poor's") or Prime-1 
by Moody's Investors Service, Inc. ("Moody's") or, if not rated, issued by 
companies having outstanding debt securities rated AAA or AA by Standard & 
Poor's, or Aaa or Aa by Moody's] and participation interests in loans extended 
by banks to such companies; and (4) repurchase agreements that are 
collateralized fully as that term is defined in Rule 2a-7. These agreements are 
entered into with "primary dealers" (as designated by the Federal Reserve Bank 
of New York) in U.S. Government securities or The Bank of New York, the Fund's 
Custodian, and would create a loss to the Prime Portfolio if, in the event of a 
dealer default, the proceeds from the sale of the collateral were less than the 
repurchase price. The Prime Portfolio may also invest in certificates of 
deposits issued by, and time deposits maintained at, foreign branches of 
domestic banks or U.S. or foreign branches of foreign banks described in (2) 
above and prime quality dollar-denominated commercial paper issued by foreign 
companies meeting the criteria 


3


specified in (3) above. The money market securities in which the Prime 
Portfolio invests may have variable or floating rates of interest ("variable 
rate obligations") as permitted by Rule 2a-7 under the 1940 Act. Variable rate 
obligations have interest rates which are adjusted either at predesignated 
periodic intervals or whenever there is a change in the market rate to which 
the interest rate of the variable rate obligation is tied. Some variable rate 
obligations allow the holder to demand payment of principal and accrued 
interest at anytime, or at specified intervals. The Prime Portfolio follows 
Rule 2a-7 with respect to the diversification, quality and maturity of variable 
rate obligations.

The Prime Portfolio also may invest in asset-backed securities that meet its 
existing diversification, quality and maturity criteria. Asset-backed 
securities are securities issued by special purpose entities whose primary 
assets consist of a pool of loans or accounts receivable. The securities may be 
in the form of a beneficial interest in a special purpose trust, limited 
partnership interest, or commercial paper or other debt securities issued by a 
special purpose corporation. Although the securities may have some form of 
credit or liquidity enhancement, payments on the securities depend 
predominately upon collection of the loans and receivables held by the issuer.

The Prime Portfolio may invest up to 25% of its total assets in U.S. 
dollar-denominated money market instruments issued by foreign branches of 
foreign banks. To the extent that the Prime Portfolio makes such investments, 
consideration will be given to their domestic marketability, the lower reserve 
requirements generally mandated for overseas banking operations, the possible 
impact of interruptions in the flow of international currency transactions, 
potential political and social instability or expropriation, imposition of 
foreign taxes, the lower level of government supervision of issuers, the 
difficulty in enforcing contractual obligations and the lack of uniform 
accounting and financial reporting standards.

CERTAIN FUNDAMENTAL INVESTMENT POLICIES. To maintain portfolio diversification 
and reduce investment risk, the Prime Portfolio may not: (1) invest more than 
25% of its assets in the securities of issuers conducting their principal 
business activities in any one industry although there is no such limitation 
with respect to U.S. Government securities or certificates of deposit, bankers' 
acceptances and interest bearing savings deposits; (2) invest more than 5% of 
its assets in securities of any one issuer (except the U.S. Government) 
although with respect to 25% of its total assets it may invest without regard 
to such limitation; (3) purchase more than 10% of any class of the voting 
securities of any one issuer (except the U.S. Government); (4) borrow money 
except from banks on a temporary basis or by entering into reverse repurchase 
agreements for emergency or extraordinary purposes in aggregate amounts not 
exceeding 15% of its assets; (5) mortgage, pledge or hypothecate its assets 
except to secure such borrowings; or (6) enter into repurchase agreements, if 
as a result thereof, more than 10% of the Prime Portfolio's assets would be 
subject to repurchase agreements not terminable within seven days.

As a matter of operating policy, the Prime Portfolio may invest no more than 5% 
of its assets in the first tier (as defined in Rule 2a-7) securities of any one 
issuer (as determined pursuant to such Rule). Fundamental policy number (2) 
would give the Prime Portfolio the ability to invest, with respect to 25% of 
its assets, more than 5% of its assets in any one issuer only in the event Rule 
2a-7 is amended in the future.


GOVERNMENT PORTFOLIO

The securities in which the Government Portfolio invests are: (1) marketable 
obligations of, or guaranteed by, the United States Government, its agencies or 
instrumentalities (collectively, the "U.S. Government"), including issues of 
the United States Treasury, such as bills, certificates of indebtedness, notes 
and bonds, and issues of agencies and instrumentalities established under the 
authority of an act of Congress; and (2) repurchase agreements that are 
collateralized in full each day by the types of securities listed above. These 
agreements are entered into with "primary dealers" (as designated by the 
Federal Reserve Bank of New York) in U.S. Government securities or the Fund's 
Custodian and would create a loss to the Government Portfolio if, in the event 
of a dealer default, the proceeds from the sale of the collateral were less 
than the repurchase price. The Government Portfolio may commit up to 15% of its 
net assets to the purchase of when-issued U.S. Government securities, whose 
value may fluctuate prior to their settlement, thereby creating an unrealized 
gain or loss to the Government Portfolio. The money market securities in which 
the Government Portfolio invests may have variable or floating rates of 
interest ("variable rate obligations") as permitted by Rule 2a-7 under the 1940 
Act. Variable rate obligations have interest 


4


rates which are adjusted either at predesignated periodic intervals or whenever 
there is a change in the market rate to which the interest rate of the variable 
rate obligation is tied. Some variable rate obligations allow the holder to 
demand payment of principal and accrued interest at anytime, or at specified 
intervals. The Government Portfolio follows Rule 2a-7 with respect to the 
diversification, quality and maturity of variable rate obligations.

CERTAIN FUNDAMENTAL INVESTMENT POLICIES. To maintain portfolio diversification 
and reduce investment risk, the Government Portfolio may not: (1) borrow money 
except from banks on a temporary basis or by entering into reverse repurchase 
agreements for emergency or extraordinary purposes in aggregate amounts not 
exceeding 10% of its assets; (2) pledge, hypothecate or in any manner transfer, 
as security for indebtedness, its assets except to secure such borrowings; or 
(3) enter into repurchase agreements, if as a result thereof, more than 10% of 
the Government Portfolio's assets would be subject to repurchase agreements not 
terminable within seven days.


GENERAL MUNICIPAL PORTFOLIO

As a matter of fundamental policy, the General Municipal Portfolio, except when 
assuming a temporary defensive position, must maintain at least 80% of its 
total assets in high-quality municipal securities (as opposed to the taxable 
investments described below). Normally, substantially all of the General 
Municipal Portfolio's income will be tax-exempt as described below. The General 
Municipal Portfolio seeks maximum current income that is exempt from Federal 
income taxes by investing principally in a diversified portfolio of 
high-quality municipal securities. Such income may be subject to state or local 
income taxes.

ALTERNATIVE MINIMUM TAX. The General Municipal Portfolio may invest without 
limitation in tax-exempt municipal securities subject to the Federal 
alternative minimum tax (the "AMT").

Under current Federal income tax law, (1) interest on tax-exempt municipal 
securities issued after August 7, 1986 which are "specified private activity 
bonds," and the proportionate share of any exempt-interest dividends paid by a 
regulated investment company which receives interest from such specified 
private activity bonds, will be treated as an item of tax preference for 
purposes of the AMT imposed on individuals and corporations, though for regular 
Federal income tax purposes such interest will remain fully tax-exempt, and (2) 
interest on all tax-exempt obligations will be included in "adjusted current 
earnings" of corporations for AMT purposes. Such bonds have provided, and may 
continue to provide, somewhat higher yields than other comparable municipal 
securities. See below, "Daily Dividends and Other Distributions" and "Taxes."

MUNICIPAL SECURITIES. The municipal securities in which the General Municipal 
Portfolio invests include municipal notes and short-term municipal bonds. 
Municipal notes are generally used to provide for short-term capital needs and 
generally have maturities of one year or less. Examples include tax 
anticipation and revenue anticipation notes which are generally issued in 
anticipation of various seasonal revenues, bond anticipation notes, and 
tax-exempt commercial paper. Short-term municipal bonds may include general 
obligation bonds, which are secured by the issuer's pledge of its faith, credit 
and taxing power for payment of principal and interest, and revenue bonds, 
which are generally paid from the revenues of a particular facility or a 
specific excise or other source.

The General Municipal Portfolio may invest in variable rate obligations whose 
interest rates are adjusted either at predesignated periodic intervals or 
whenever there is a change in the market rate to which the security's interest 
rate is tied. Such adjustments tend to minimize changes in the market value of 
the obligation and, accordingly, enhance the ability of the Portfolio to 
maintain a stable net asset value. Variable rate securities purchased may 
include participation interests in industrial development bonds backed by 
letters of credit of Federal Deposit Insurance Corporation member banks having 
total assets of more than $1 billion. The Portfolio will comply with Rule 2a-7 
with respect to its investments in variable rate obligations supported by 
letters of credit.

Each of the General Municipal Portfolio's municipal securities at the time of 
purchase is rated within the two highest quality ratings of Moody's (Aaa and 
Aa, MIG 1 and MIG 2 or VMIG 1 and VMIG 2) or Standard & Poor's (AAA and AA or 
SP-1 and SP-2), or judged by the Adviser to be of comparable quality. 
Securities must also meet credit standards applied by the Adviser.



5


To further enhance the quality and liquidity of the securities in which the 
General Municipal Portfolio invests, such securities frequently are supported 
by credit and liquidity enhancements, such as letters of credit, from third 
party financial institutions. The Portfolio continuously monitors the credit 
quality of such third parties; however, changes in the credit quality of such 
a financial institution could cause the Portfolio's investments backed by that 
institution to lose value and affect the Portfolio's share price.

The General Municipal Portfolio also may invest in stand-by commitments, which 
may involve certain expenses and risks, but such commitments are not expected 
to comprise more than 5% of the Portfolio's net assets. The General Municipal 
Portfolio may commit up to 15% of its net assets to the purchase of when-issued 
securities. The Fund's Custodian will maintain, in a separate account of the 
General Municipal Portfolio, liquid high-grade debt securities having value 
equal to, or greater than, such commitments. The price of when-issued 
securities, which is generally expressed in yield terms, is fixed at the time 
the commitment to purchase is made, but delivery and payment for such 
securities takes place at a later time. Normally the settlement date occurs 
from within ten days to one month after the purchase of the issue. The value of 
when-issued securities may fluctuate prior to their settlement, thereby 
creating an unrealized gain or loss to the General Municipal Portfolio.

TAXABLE INVESTMENTS. The taxable investments in which the General Municipal 
Portfolio may invest include obligations of the U.S. Government and its 
agencies, high-quality certificates of deposit and bankers' acceptances, prime 
commercial paper and repurchase agreements.

CERTAIN FUNDAMENTAL INVESTMENT POLICIES. To reduce investment risk, the General 
Municipal Portfolio may not invest more than 25% of its total assets in 
municipal securities whose issuers are located in the same state and may not: 
(1) invest more than 25% of its total assets in municipal securities the 
interest upon which is paid from revenues of similar-type projects; (2) invest 
more than 5% of its total assets in the securities of any one issuer except the 
U.S. Government, although with respect to 25% of its total assets the General 
Municipal Portfolio may invest up to 10% per issuer; or (3) purchase more than 
10% of any class of the voting securities of any one issuer except those of the 
U.S. Government.

As a matter of operating policy, effective July 1, 1998, pursuant to Rule 2a-7, 
the General Municipal Portfolio may invest no more than 5% of its assets in the 
securities of any one issuer (as determined pursuant to such Rule). Fundamental 
policy number (2) would give the Portfolio the ability to invest, with respect 
to 25% of its assets, more than 5% of its assets in any one issuer only in the 
event Rule 2a-7 is further amended in the future.


POLICIES APPLICABLE TO EACH PORTFOLIO

No Portfolio will maintain more than 10% of its net assets in illiquid 
securities, which include "restricted securities" subject to legal restrictions 
on resale arising from an issuer's reliance upon certain exemptions from 
registration under the Securities Act of 1933, as amended (the "Securities 
Act"), other than restricted securities determined by the Adviser to be liquid 
in accordance with procedures adopted by the Trustees of the Fund, such as 
securities eligible for resale under Rule 144A under the Securities Act and 
commercial paper issued in reliance upon the exemption from registration in 
Section 4(2) of the Securities Act.


                     PURCHASE AND REDEMPTION OF SHARES


OPENING ACCOUNTS

Contact Discover Brokerage Direct to open a Fund account. Balances will appear 
on your monthly brokerage statement.


SUBSEQUENT INVESTMENTS

A. BY CHECK THROUGH DISCOVER BROKERAGE DIRECT

Mail or deliver your check, payable to "Discover Brokerage Direct" which will 
deposit it into the Portfolio(s). Please designate the appropriate Portfolio(s) 
and indicate your brokerage account number on the check.


6


B. BY SWEEP

Discover Brokerage Direct has available an automatic "sweep" for customers in 
the Prime Portfolio, Government Portfolio or General Municipal Portfolio. If 
you request the sweep arrangement, all cash balances of $1.00 or more are moved 
into one of the Portfolios on a daily basis. Sales proceeds from trades will be 
swept into the designated Portfolio on settlement date.


REDEMPTIONS

A. BY CONTACTING DISCOVER BROKERAGE DIRECT

Instruct Discover Brokerage Direct to order a withdrawal from your Fund account 
and issue a check payable to you.

B. BY SWEEP

Discover Brokerage Direct's automatic "sweep" moves money from your money 
market account automatically to cover securities purchases in your brokerage 
account.

C. BY CHECKWRITING

With this service, you may write checks made payable to any payee. Checks 
cannot be written for more than the principal balance (not including any 
accrued dividends) in your Fund account. First you must fill out the Signature 
Card which you can obtain from Discover Brokerage Direct. THE CHECKWRITING 
SERVICE ENABLES YOU TO RECEIVE THE DAILY DIVIDENDS DECLARED ON THE SHARES TO BE 
REDEEMED UNTIL THE DAY THAT YOUR CHECK IS PRESENTED FOR PAYMENT.


                            ADDITIONAL INFORMATION


SHARE PRICE

Shares are sold and redeemed on a continuous basis without sales or redemption 
charges at their net asset value which is expected to be constant at $1.00 per 
share, although this price is not guaranteed. The net asset value of each 
Portfolio's shares is determined each business day (i.e., any weekday exclusive 
of days on which the New York Stock Exchange or The Bank of New York is closed) 
at 12:00 Noon and 4:00 p.m. (New York time). The net asset value per share of a 
Portfolio is calculated by taking the sum of the value of that Portfolio's 
investments (amortized cost value is used for this purpose) and any cash or 
other assets, subtracting liabilities, and dividing by the total number of 
shares of that Portfolio outstanding. All expenses, including the fees payable 
to the Adviser, are accrued daily.

TIMING OF INVESTMENTS AND REDEMPTIONS

The Portfolios have two transaction times each business day, 12:00 Noon and 
4:00 p.m. (New York time). New investments represented by Federal funds or bank 
wire monies received by The Bank of New York at any time during a day prior to 
4:00 p.m. are entitled to the full dividend to be paid to shareholders for that 
day. Shares do not earn dividends on the day a redemption is effected 
regardless of whether the redemption order is received before or after 12:00 
Noon. 

Redemption proceeds are normally wired or mailed either the same or the next 
business day, but in no event later than seven days, unless redemptions have 
been suspended or postponed due to the determination of an "emergency" by the 
Securities and Exchange Commission or to certain other unusual conditions.

DAILY DIVIDENDS AND OTHER DISTRIBUTIONS

All net income of each Portfolio is determined each business day at 4:00 p.m. 
and is paid immediately thereafter pro rata to shareholders of record of that 
Portfolio via automatic investment in additional full and fractional shares of 
that Portfolio in each shareholder's account. As such additional shares are 
entitled to dividends on following days, a compounding growth of income occurs.

Net income consists of all accrued interest income on a Portfolio's assets less 
the Portfolio's expenses applicable to that dividend period. Realized gains and 
losses of each Portfolio are reflected in its net asset value and are not 
included in its net income.


7


TAXES

A prospective investor should review the more detailed discussion of Federal 
income tax considerations relevant to each Portfolio that is contained in the 
Statement of Additional Information. In addition, each prospective investor 
should consult with his/her own tax advisers as to the tax consequences of an 
investment in the Portfolios, including the status of distributions from a 
Portfolio in his/her own state and locality and the possible applicability of 
the AMT to a portion of the distributions of the General Municipal Portfolio.

The Fund intends to qualify each Portfolio each year as a separate "regulated 
investment company" and as such, each Portfolio will not be subject to Federal 
income and excise taxes on the investment company taxable income and net 
capital gains, if any, distributed to shareholders.

PRIME PORTFOLIO AND GOVERNMENT PORTFOLIO. Shareholders of the Prime Portfolio 
and Government Portfolio (other than tax-exempt shareholders) will be subject 
to Federal income tax on the ordinary income dividends and any capital gains 
dividends from these Portfolios and may also be subject to state and local 
taxes. The laws of some states and localities, however, may exempt from some 
taxes dividends paid on shares of the Prime Portfolio and Government Portfolio, 
which are dividends attributable to interest from obligations of the U.S. 
Government and certain of its agencies and instrumentalities.

DISTRIBUTIONS FROM THE GENERAL MUNICIPAL PORTFOLIO. Distributions to you out of 
tax-exempt interest income earned by the General Municipal Portfolio are not 
subject to Federal income tax (other than the AMT), but may be subject to state 
or local income taxes. Any exempt-interest dividends derived from interest on 
municipal securities subject to the AMT will be a specific preference item for 
purposes of the Federal individual and corporate AMT. Distributions from the 
General Municipal Portfolio to a corporate shareholder are not exempt from the 
corporate taxes imposed by the respective jurisdictions. Distributions out of 
taxable interest income, other investment income and short-term capital gains 
are taxable to you as ordinary income and distributions of long-term capital 
gains, if any, are taxable as long-term taxable gains irrespective of the 
length of time you may have held your shares. Distributions of short and 
long-term capital gains, if any, are normally made near year-end. Each year 
shortly after December 31, the Fund will send to you tax information stating 
the amount and type of all its distributions for the year just ended.

GENERAL. Distributions to shareholders will be treated in the same manner for 
Federal income tax purposes whether received in cash or reinvested in 
additional shares of a Portfolio. In general, distributions by a Portfolio are 
taken into account by shareholders in the year in which they are made. However, 
certain distributions made during January will be treated as having been paid 
by a Portfolio and received by the shareholders on December 31 of the preceding 
year. A statement setting forth the Federal income tax status of all 
distributions made (or deemed made) during the calendar year, including any 
portions which constitute ordinary income dividends, capital gains dividends 
and exempt-interest dividends and U.S. Government interest dividends will be 
sent to each shareholder of a Portfolio promptly after the end of each calendar 
year.

YEAR 2000. Many computer software systems in use today cannot properly process 
date-related information from and after January 1, 2000. Should any of the 
computer systems employed by the Fund's major service providers fail to process 
this type of information properly, that could have a negative impact on the 
Fund's operations and the services that are provided to the Fund's 
shareholders. The Fund's Adviser, Alliance Fund Distributors, Inc. ("AFD"), the 
Fund's distributor, and Alliance Fund Services, Inc. ("AFS"), the Fund's 
transfer agent have advised the Fund that they are reviewing all of their 
computer systems with the goal of modifying or replacing such systems prior to 
January 1, 2000 to the extent necessary to foreclose any such negative impact. 
In addition, the Adviser has been advised by the Fund's custodian that it is 
also in the process of reviewing its systems with the same goal. As of the date 
of this Prospectus, the Fund and the Adviser have no reason to believe that 
these goals will not be achieved. Similarly, the values of certain of the 
portfolio securities held by the Fund may be adversely affected by the 
inability of the securities' issuers or of third parties to process this type 
of information properly.


8


                            MANAGEMENT OF THE FUND


ADVISER

Alliance Capital Management L.P., which is a Delaware limited partnership with 
principal offices at 1345 Avenue of the Americas, New York, New York 10105, has 
been retained by the Fund, on behalf of each Portfolio, under an investment 
advisory agreement (the "Advisory Agreement") to provide investment advice and, 
in general, to conduct the management and investment program of the Fund under 
the general supervision and control of the Fund's Trustees.

The Adviser is a leading international investment manager supervising client 
accounts with assets as of December 31, 1997 totaling more than $218 billion 
(of which approximately $85 billion represented the assets of investment 
companies). The Adviser's clients are primarily major corporate employee 
benefit plans, public employee retirement systems, investment companies, 
foundations and endowment funds. The 58 registered investment companies managed 
by the Adviser comprising 122 separate investment portfolios currently have 
over three million shareholder accounts. As of December 31, 1997, the Adviser 
was retained as an investment manager for employee benefit plan assets of 31 of 
the Fortune 100 companies.

Alliance Capital Management Corporation, the sole general partner of, and the 
owner of a 1% general partnership interest in, the Adviser, is an indirect 
wholly-owned subsidiary of The Equitable Life Assurance Society of the United 
States ("Equitable"), one of the largest life insurance companies in the United 
States, which is a wholly-owned subsidiary of The Equitable Companies 
Incorporated, a holding company controlled by AXA-UAP, a French insurance 
holding company. Certain information concerning the ownership and control of 
Equitable by AXA-UAP is set forth in the Statement of Additional Information 
under "Management of the Fund."

Under its Advisory Agreement with the Fund, the Adviser provides investment 
advisory services and order placement facilities for the Fund. For the fiscal 
year ended November 30, 1997, the Prime, Government and General Municipal 
Portfolios paid the Adviser an advisory fee at an annual rate of .47 of 1%, .27 
of 1% and .32 of 1%, respectively, of the average daily value of the net assets 
of each Portfolio net of voluntary expense reimbursements for expenses 
exceeding 1% of the average daily value of the net assets of each Portfolio.

In addition to the payments to the Adviser under the Advisory Agreement 
described above, the Fund may pay certain other costs, including (i) custody, 
transfer and dividend disbursing expenses, (ii) fees of the Trustees who are 
not affiliated persons, (iii) legal and auditing expenses, (iv) clerical, 
accounting, administrative and other office costs, (v) costs of personnel 
providing services to the Fund, as applicable, (vi) costs of printing 
prospectuses and shareholder reports, (vii) expenses and fees related to 
registration and filing with the Securities and Exchange Commission and with 
state regulatory authorities and (viii) such promotional expenses as may be 
contemplated by an effective plan pursuant to Rule 12b-1 under the 1940 Act.

Under a Distribution Services Agreement (the "Agreement"), each Portfolio pays 
AFD at a maximum annual rate of .45 of 1% of the Fund's aggregate average daily 
net assets. For the fiscal year ended November 30, 1997, the Prime, Government 
and General Municipal Portfolios each paid a distribution fee at an annual rate 
of .45% of the average daily value of the net assets of the Fund. Substantially 
all such monies (together with significant amounts from the Adviser's own 
resources) are paid by AFD to broker-dealers and other financial intermediaries 
for their distribution assistance and to banks and other depository 
institutions for administrative and accounting services provided to the 
Portfolios, with any remaining amounts being used to partially defray other 
expenses incurred in distributing the Portfolios' shares. The Fund believes 
that the administrative services provided by depository institutions are 
permissible activities under present banking laws and regulations and will take 
appropriate actions (which should not adversely affect the Portfolios or their 
shareholders) in the future to maintain such legal conformity should any 
changes in, or interpretations of, such laws or regulations occur.

ADMINISTRATOR

Pursuant to an Administration Agreement, ADP Financial Information Services, 
Inc. ("ADP"), a wholly-


9


owned subsidiary of Automatic Data Processing, Inc., serves as administrator of 
the Fund, on behalf of the Portfolios. The Administrator performs or arranges 
for the performance of certain services, mainly remote processing services 
through its propriety shareholder accounting system. ADP is entitled to receive 
from each Portfolio a fee computed daily and paid monthly at a maximum annual 
rate equal to .05% of such Portfolio's average daily net assets. ADP may, from 
time to time, voluntarily waive all or a portion of its fees payable to it 
under the Administration Agreement. ADP does not have any responsibility or 
authority for any Portfolio's investments, the determination of investment 
policy, or for any matter pertaining to the distribution of Portfolio shares.

TRANSFER AGENT AND DISTRIBUTOR

Alliance Fund Services, Inc., P.O. Box 1520, Secaucus, NJ 07096-1520 and 
Alliance Fund Distributors, Inc., 1345 Avenue of the Americas, New York, NY 
10105, are the Fund's Transfer Agent and Distributor, respectively.

ORGANIZATION

Each of the Portfolios is a series of Alliance Money Market Fund, an open-end 
management investment company registered under the 1940 Act and organized as a 
Massachusetts business trust on October 26, 1994. The New Jersey, New York, 
California and Connecticut Municipal Portfolios are non-diversified series of 
the Fund and are not offered by this Prospectus. Each Portfolio's activities 
are supervised by the Trustees of the Fund. Normally, shares of each series are 
entitled to one vote per share, and vote as a single series, on matters that 
affect each series in substantially the same manner. Massachusetts law does not 
require annual meetings of shareholders and it is anticipated that shareholder 
meetings will be held only when required by Federal law. Shareholders have 
available certain procedures for the removal of Trustees.


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