RBB FUND INC
N-30D, 1996-11-04
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                                    BRADFORD
                                    MUNICIPAL
                                  MONEY MARKET
                                    PORTFOLIO





J.C. Bradford & Co.

[LOGO OMITTED]







                                  Annual Report
                                 August 31, 1996


<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.

                       ANNUAL INVESTMENT ADVISER'S REPORT


     Although this summer's  weather  remained on the cool side, the debate over
Federal Reserve monetary policy became quite heated as the year  progressed.  By
early July, a majority of Fed watchers were  convinced that a rise in short-term
interest rates was imminent,  and pointed to July's strong  employment report as
evidence.  The only question seemed to be the size and timing of the Fed's move.
Would the Fed wait until its August meeting, or would they immediately raise the
funds rate 25 or 50 basis  points?  Certainly,  they  pointed  out,  the jump in
nonfarm payroll  (+700,000 jobs) and the spike in hourly earnings (+9 cents) was
cause  for  immediate  action  by the Fed to curb  the  economy  and  prevent  a
rekindling  of inflation.  However,  as has often  happened this year,  economic
reports that seemed to suggest  either a business  expansion or a slowdown  were
followed quite closely by reports that suggested otherwise. It seemed that after
the  winter's  government  shut  downs and  snowstorms,  the  predictability  of
economic numbers became a lost art in 1996.

     This same type of reversal of expectations occurred again in July following
the  strong  jobs  report.  Within  only a few weeks,  signs of slower  economic
activity  had  tempered  the  certainty  of a rate  hike,  and by the time  Alan
Greenspan spoke at his Humphrey-Hawkins  testimony, he speculated that, "looking
forward,  there are a number  of  reasons  to expect  demands  to  moderate  and
economic  activity to settle back toward a more  sustainable  pace in the months
ahead." The  Federal  Reserve's  forecast  for growth is  2.5%-2.75%  this year,
falling  to  1.75%-2.25%   next  year;  while  inflation  should  average  about
3.0%-3.25%  this year, and 2.75%-3.0% next year.  Greenspan's  remarks were very
well  received  by the  markets,  and stocks and bonds rose  sharply  into early
August. In addition,  the expectation of higher short-term  interest rates eased
considerably,  and by the time the Fed met on August 20, there was almost no one
in the "tighter" camp.

     Short-term  taxable interest rates have held steady at 5.25% (federal funds
rate) for the last two quarters.  The Federal Reserve's last move was on January
31, when they eased monetary policy to encourage economic growth, following news
of a very weak fourth  quarter 1995. At that time,  market  sentiment was biased
towards  additional  easings of monetary  policy and the short-term  yield curve
offered no  incentive  to extend.  By  mid-April,  however,  strong jobs reports
worried the markets  that the Fed would not only stop easing but might  consider
tightening.  In response,  the yield curve turned  positive and rewarded  longer
average  maturities with yield pick ups of 20-30 basis points.  The Money Market
and Government  portfolios  took  advantage of this  opportunity by moving their
maturities  to the  50-60  day  range.  For  much  of  the  last  two  quarters,
investments  of 3-12  months  have  outyielded  overnight  rates by 25-50  basis
points.

     In the short-term  municipal  market,  the usually  predictable  pattern of
seasonal influences was interrupted this year by the federal budget impasse last
winter,  the  possibility of changes to the tax code and volatility in the stock
and bond markets.  As in the taxable  market,  sentiment  leaned  towards higher
rates, but the short-term municipal yield curve remained stubbornly flat. Yields
on daily  demand  notes  fluctuated  widely  during  the  year,  between  2%-4%,
depending on the day,  month and level of supply  versus  demand.  In June,  for
example,  as supply  fell,  demand  notes rose to yields  over 4%, but as supply
reentered the market in July,  yields fell to 2.35%.  By the end of August,  New
York  City,  California  and  Texas  were all  settling  large new  issues.  The
Municipal  Portfolio took advantage of these new offerings to extend its average
weighted maturity to the 50-day range.

     As always, all the Fund's portfolios emphasized high quality securities and
highly liquid  structures,  in addition to providing  competitive daily returns.
Our credit  research  department  employs fifteen  professionals  to approve and
monitor  the  creditworthiness  of every  issue/issuer  in which the  portfolios
invest.  Finally, as of the date of this report,  there are a number of proposed
amendments to Rule 2a-7,  the  regulations  which govern money market  funds.The
anticipated  effective  date of October 3 has been  postponed by the SEC. We are
following the situation closely and will be reporting to you in the future about
the substance and timing of those changes.

                PNC Institutional Management Corporation
                (Please dial toll-free 800-533-7719 for questions regarding
                your account or contact your broker.)


<PAGE>




                        REPORT OF INDEPENDENT ACCOUNTANTS

To the Shareholders and Board of Directors of The RBB Fund, Inc.:

We have audited the accompanying statements of net assets of the Municipal Money
Market  Portfolio of The RBB Fund,  Inc., as of August 31, 1996, and the related
statement of operations for the year then ended, the statement of changes in net
assets for each of the two years in the period  then  ended,  and the  financial
highlights for each of the periods  presented.  These  financial  statements and
financial  highlights  are the  responsibility  of the  Fund's  management.  Our
responsibility  is to  express  an opinion  on these  financial  statements  and
financial highlights based on our audits.

We  conducted  our  audits  in  accordance  with  generally   accepted  auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether the  financial  statements  and  financial
highlights are free of material misstatement.  An audit includes examining, on a
test basis,  evidence  supporting  the amounts and  disclosures in the financial
statements.  Our procedures  included  confirmation  of investments  held by the
custodian and brokers as of August 31, 1996.  An audit also  includes  assessing
the accounting principles used and significant estimates made by management,  as
well as evaluating the overall financial statement presentation. We believe that
our audits provide a reasonable basis for our opinion.

In our opinion,  the financial  statements and financial  highlights referred to
above present fairly, in all material  respects,  the financial  position of the
Municipal Money Market Portfolio of The RBB Fund, Inc. as of August 31, 1996 and
the results of its  operations  for the year then ended,  the changes in its net
assets for each of the two years in the period  then  ended,  and its  financial
highlights  for each of the periods  presented,  in  conformity  with  generally
accepted accounting principles.



COOPERS & LYBRAND L.L.P.

2400 Eleven Penn Center
Philadelphia, Pennsylvania
October 15, 1996

                                       2

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                             STATEMENT OF NET ASSETS
                                 AUGUST 31, 1996

                                                  PAR
                                                 (000)      VALUE
                                                -------   ----------
MUNICIPAL BONDS--99.8%
ALABAMA--0.7%
Alabama Special Care Facilities
   Authority St. Vincent's Daughters of
   Charity MB(AA, Aa)(DOUBLE DAGGER)
   4.000% 11/01/96 .......................      $ 1,735   $1,736,028
Livingston IDR Toin Corp USA Project
   DN / (Ind. Bank of Japan LOC)
   [A-1+, VMIG-1](DAGGER)
   4.150% 09/07/96 .......................        1,000    1,000,000
                                                          ----------
                                                           2,736,028
                                                          ----------
ALASKA--0.5%
Alaska Industrial Development & Export
   Authority RB Series 1984-5
   (LOC-Seattle First National Bank)
   DN [A-1](DAGGER)
   3.600% 09/07/96 .......................        2,045    2,045,000
                                                          ----------
ARIZONA--1.8%
Flagstaff IDA DN / (LOC-Wells Fargo)
   [A, A-1](DAGGER)
   3.550% 09/07/96 .......................        7,755    7,755,000
                                                          ----------
ARKANSAS--0.4%
Arkansas State Development Authority
   Health Care Facility Sisters of
   Mercy DN/ (ABM-AMRO Bank N.V. LOC)
   [A-1+, VMIG-1](DAGGER)
   3.450% 09/07/96 .......................        1,700    1,700,000
                                                          ----------
CALIFORNIA--14.8%
California Pollution Control DN / (Society
   General LOC) [A-1+](DAGGER)
   3.150% 09/30/96 .......................        2,000    2,000,000
California Pollution Control Finance
   Authority (Pacific Gas & Electric Co.
   Project) Series 1996 C DN  (Bank of
   America LOC) [A-1+](DAGGER)
   3.850% 09/07/96 .......................        8,200    8,200,000
Los Angeles County Housing Authority
   Malibu Meadows Project
   Series A DN (LOC- Sumitomo Bank)
   [A-1](DAGGER)
   3.500% 09/07/96 .......................        4,100    4,100,000


                                                         PAR
                                                        (000)       VALUE
                                                       -------   -----------
CALIFORNIA--(CONTINUED)
Los Angeles County
   Series 1996 A TRAN
   (Credit Suisse LOC) [SP-1+,
   MIG-1](DOUBLE DAGGER)
   4.500% 06/30/97 ..............................      $10,315   $10,371,569
Oakland (LOC- Natwest PLC) DN(DAGGER)
   3.750% 09/07/96 ..............................       11,600    11,600,000
San Bernardino County
   TRAN / (Landesbank Hessen-
   Thuringen LOC) [SP-1+, MIG-1]
   4.500% 06/30/97 ..............................        5,000     5,024,890
Southeast Resource Recovery Facility
   Authority Lease RB DN [A-1, VMIG-1](DAGGER)
   3.550% 09/07/96 ..............................        7,500     7,500,000
State of California 1996-97 RAN
   [SP-1+, MIG-1]
   4.500% 06/30/97 ..............................        7,000     7,029,519
State of California RAN Series C-5 /
   (Bank of America LOC) [A-1+, MIG]
   3.850% 09/07/96 ..............................        1,000     1,000,000
Washington Township Hospital District
   Alemeda County DN / (Ind. Bank of
   Japan LOC)(DAGGER)
   3.450% 09/07/96 ..............................        5,300     5,300,000
                                                                 -----------
                                                                  62,125,978
                                                                 -----------
COLORADO--1.8%
Colorado State General Fund Revenue
   Series 1996 A TRAN [SP-1+, MIG-1]
   4.500% 06/27/97 ..............................        5,000     5,025,623
Moffat County DN [A-1+, P-1](DAGGER)
   3.550% 09/07/96 ..............................        2,400     2,400,000
                                                                 -----------
                                                                   7,425,623
                                                                 -----------
CONNECTICUT--0.7%
Connecticut State of Special Assessment
   Unemployment Compensation
   Advance Fund Revenue (Connecticut
   Unemployment Project)
   Series 1993 C MB (FGIC Insurance)
   [A-1+, VMIG-1](DOUBLE DAGGER)
   3.900% 07/01/97 ..............................        3,000     3,000,000
                                                                 -----------

                 See Accompanying Notes to Financial Statements.

                                        3

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF NET ASSETS (CONTINUED)
                                 AUGUST 31, 1996

                                                     PAR
                                                    (000)       VALUE
                                                   -------   -----------
DELAWARE--0.7%
The Delaware Economic Development
   Authority Gas Facilities Refunding
   (Delmarva Power & Light Project)
   Series 1993 C (Delmarva Power &
   Light Corporate Obligation)
   RB DN [VMIG-1](DAGGER)
   3.650% 09/07/96 .........................       $ 3,000   $ 3,000,000
                                                             -----------
FLORIDA--1.4%
Florida Housing Finance Agency
   DN / (Wells Fargo Bank LOC) [A-1](DAGGER)
   3.850% 09/30/96 .........................         3,000     3,000,000
Indian River County Hospital District
   Sunhealth Network MB / (Kredietbank
   LOC) [A-1+, VMIG-1](DOUBLE DAGGER)
   3.700% 10/08/96 .........................         3,000     3,000,000
                                                             -----------
                                                               6,000,000
                                                             -----------
GEORGIA--3.6%
Atlanta Urban Residential Finance
   Authority RB DN (Residential
   Construction -- Summerhill Project) /
   (First Union National Bank of North
   Carolina LOC) [A-1](DAGGER)
   3.550% 09/07/96 .........................         3,000     3,000,000
Brunswick and Glynn Development
   Authority Sewage Facility RB DN for
   Georgia-Pacific Corp. Project
   (LOC-Commerce Bank)
   Series 1996 [Aa2](DAGGER)
   3.650% 09/07/96 .........................         3,000     3,000,000
Carrollton Payroll Development
   Authority Certificates RAN [Aa3]
   3.650% 09/07/96 .........................         6,000     6,000,000
Forsyth County IDA RB for American
   Boa, Inc. Project (LOC- Dresdner
   Bank A.G.) DN(DAGGER)
   3.550% 09/07/96 .........................         3,000     3,000,000
                                                             -----------
                                                              15,000,000
                                                             -----------


                                                    PAR
                                                   (000)      VALUE
                                                  -------  ------------
ILLINOIS--8.8%
Chicago O'Hare International Airport DN
   (American Airlines) Series C / (LOC-
   Royal Bank of Canada) [VMIG-1](DAGGER)
   3.750% 09/01/96 .......................       $ 1,200   $ 1,200,000
Health Facility Authority DN (Central
   Health Care and Northwest
   Community Hospital) / (Sumitomo
   Bank LOC) [VMIG-1](DAGGER)
   3.450% 09/07/96 .......................         1,545     1,545,000
Illinois Development Finance Authority
   CHS Acquisition Corp. Project DN /
   (ABM-AMRO Bank N.V. LOC) [A-1+](DAGGER)
   3.850% 09/07/96 .......................         5,035     5,035,000
Illinois Development Finance Authority
   RB DN (Chicago Symphony
   Orchestra Project) / (Northern Trust
   LOC) [A-1, VMIG-1](DAGGER)
   3.500% 09/07/96 .......................         8,400     8,400,000
Illinois Health Facility Authority Carle
   Foundation Project DN / (Northern
   Trust LOC) [VMIG-1](DAGGER)
   3.550% 09/07/96 .......................         2,600     2,600,000
Illinois Housing Development Authority
   Multifamily Housing Bonds DN /
   (Landesbank Hessen-Thuringen LOC)
   [A-1+](DAGGER)
   3.500% 09/07/96 .......................         1,000     1,000,000
Illinois Housing Development Authority
   Series C-2  DN / (Society General LOC)
   [VMIG-1](DAGGER)
   3.450% 09/03/96 .......................         2,200     2,200,000
Illinois Student Loan Authority
   Community Student Loan RB DN /
   (Bank of America LOC) [VMIG-1](DAGGER)
   3.600% 09/07/96 .......................         7,800     7,800,000
O'Hare International Airport Special
   Facility RB DN / (Society General
   LOC) [Aa2, VMIG-1](DAGGER)
   3.600% 09/07/96 .......................         5,800     5,800,000
Southwestern Development Authority
   (Shell Oil Co. Wood River Project)
   Series 1995 MB [Aa2,
   VMIG-1](DOUBLE DAGGER)
   3.950% 09/01/96 .......................         1,375     1,375,000
                                                           -----------
                                                            36,955,000
                                                           -----------

                 See Accompanying Notes to Financial Statements.

                                        4

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF NET ASSETS (CONTINUED)
                                 AUGUST 31, 1996

                                                   PAR
                                                  (000)       VALUE
                                                 -------    ----------
INDIANA--9.5%
Bremen IDA RB Series 1996 A
   Universal Bearings, Inc. Project
   Private Placement DN / (Society
   National Bank of Cleveland
   LOC)(DAGGER)
   3.800% 09/07/96 ........................      $ 5,000   $5,000,000
Indiana Development Finance Authority
   IDA RB DN (Enterprise Center I
   Project) / (LOC-Society National
   Bank of Cleveland) [A-1+](DAGGER)
   3.800% 09/07/96 ........................        2,900    2,900,000
Indiana Development Finance Authority
   IDA RB DN (Enterprise Center II,
   Project) / (LOC-Society National
   Bank of Cleveland) [A-1+](DAGGER)
   3.800% 09/07/96 ........................        5,000    5,000,000
Indiana Development Finance Authority
   IDA RB DN (Enterprise Center III
   Project) / (LOC-Society National Bank of
   Cleveland) [A-1+, AA-](DAGGER)
   3.800% 09/07/96 ........................        4,500    4,500,000
Indiana Development Finance Authority
   IDA RB DN (Enterprise Center IV
   Project) / (LOC-Society National
   Bank of Cleveland) [A-1+, AA-](DAGGER)
   3.800% 09/07/96 ........................        2,600    2,600,000
Indiana Health Facility Authority
   Daughters of Charity for St. Mary's
   Medical DN [AA, Aa](DAGGER)
   4.000% 11/01/96 ........................          840      840,497
La Porte County Economic Development
   RB DN (Pedcor Investments --
   Woodland Crossing) / (Federal Home
   Loan Bank LOC) [VMIG-1, Aaa](DAGGER)
   3.600% 09/07/96 ........................        2,000    2,000,000
Orleans Economic Development RB for
   Almana Limited Liability Co. Project
   Series 1995 (LOC-National Bank of
   Detroit) DN(DAGGER)
   3.650% 09/07/96 ........................        5,400    5,400,000
Portage, City of Economic Development
   RB DN (Breckenridge Apartments
   Project) / (Comerica Bank Detroit LOC)
   [A-1](DAGGER)
   3.650% 09/07/96 ........................        4,650    4,650,000


                                                  PAR
                                                 (000)       VALUE
                                                -------   -----------
INDIANA--(CONTINUED)
South Bend Redevelopment Authority
   (College Football Hall of Fame
   Project) Series DN (Fuji Bank LOC)
   [VMIG-1](DAGGER)
   4.000% 09/07/96 ......................       $ 4,100   $ 4,100,000
Tippencanoe DN / (Bank of
   New York LOC) [Aa3, VMIG-1](DAGGER)
   3.700% 09/07/96 ......................         3,000     3,000,000
                                                          -----------
                                                           39,990,497
                                                          -----------
IOWA--1.9%
Iowa Finance Authority
   IDA RB DN (Sauer-Sundstrand Co.
   Project) / (Bayerische LB Girozentrale
   LOC) [P-1](DAGGER)
   3.600% 09/07/96 ......................         4,000     4,000,000
Iowa Finance Authority Tax-Exempt
   Adjustable Mode IDA RB DN (Dixie
   Bedding Co. Project) Series 1995 /
   (Wachovia LOC) [Aa2](DAGGER)
   3.600% 09/07/96 ......................         3,000     3,000,000
Osceola IDA RB (Babson Brothers Co.
   Projects) Series 1986 DN / (Bank of
   New York LOC) [VMIG-1](DAGGER)
   3.700% 09/07/96 ......................         1,100     1,100,000
                                                          -----------
                                                            8,100,000
                                                          -----------
KANSAS--2.8%
Burlington PCR RB MB (Kansas City
   Power & Light  Company) /
   (Deutsche  Bank LOC)
   [A-1+, P-1](DOUBLE DAGGER)
   3.650% 10/10/96 ......................         2,000     2,000,000
Butler County Solid Waste Disposal
   Facilities RB DN [VMIG-1, A1](DAGGER)
   4.000% 09/07/96 ......................         2,000     2,000,000
Lawrence County Project IDA RB
   Series A RAM Co. Project /
   (Wachovia LOC) [A-1+, VMIG-1](DAGGER)
   3.600% 09/05/96 ......................         2,125     2,125,000
Shawnee IDA RB Thrall Enterprises, Inc.
   Project DN (LOC-ABM-AMRO
   Bank N.V.)[A-1+](DAGGER)
   3.900% 09/07/96 ......................         5,700     5,700,000
                                                          -----------
                                                           11,825,000
                                                          -----------

                 See Accompanying Notes to Financial Statements.

                                        5

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF NET ASSETS (CONTINUED)
                                 AUGUST 31, 1996


                                                      PAR
                                                     (000)       VALUE
                                                    -------   -----------
KENTUCKY--5.5%
Clark County PCR RB MB
   (East Kentucky Power Cooperative,
   Inc.) [A-1+, VMIG-1](DOUBLE DAGGER)
   3.400% 10/15/96 ..........................       $ 2,000   $ 2,000,000
Hopkinsville IDA RB Douglas Autotech
   Corp. Project Series 1995 DN /
   (Ind. Bank of Japan LOC) [A, A-1](DAGGER)
   4.150% 09/07/96 ..........................         7,700     7,700,000
Hopkinsville RB (American Precision
   Machinery) Series 1990 DN /
   (Mitsubishi Bank LOC) [VMIG-1](DAGGER)
   3.650% 09/07/96 ..........................         3,600     3,600,000
Maysville, City of Solid Waste Disposal
   Facilities RB MB [A-1, P-1](DOUBLE DAGGER)
   3.700% 09/12/96 ..........................        10,000    10,000,000
                                                              -----------
                                                               23,300,000
                                                              -----------
LOUISIANA--3.4%
Ascension Parish RB DN BASF
   Corp. [P-1, Aa3](DAGGER)
   3.550% 09/07/96 ..........................         2,800     2,800,000
East Baton Rouge Mortgage Finance
   Authority MB Single Family
   Mortgage Purchase Bonds /
   (FNMA LOC) [VMIG-1](DOUBLE DAGGER)
   3.400% 10/03/96 ..........................         2,910     2,910,000
East Baton Rouge Parish Pacific Corp.
   Project DN / (Ind. Bank of
   Japan LOC) [Aaa, VMIG-1](DAGGER)
   3.850% 09/07/96 ..........................         6,500     6,500,000
Saint Charles PCR Series 1991 Shell
   Oil Co. DN [A-1+, VMIG-1](DAGGER)
   3.950% 09/01/96 ..........................         1,900     1,900,000
                                                              -----------
                                                               14,110,000
                                                              -----------
MARYLAND--3.2%
Howard County Bluffs at Clary's
   Forest Apartment Facility
   Series 1995 DN /
   (FNB Maryland LOC) [A-1](DAGGER)
   3.900% 09/07/96 ..........................         5,800     5,800,000


                                                    PAR
                                                   (000)       VALUE
                                                  -------   -----------
MARYLAND--(CONTINUED)
Maryland State Community
   Development Adminstration
   Department Single Family Housing
   Bonds Project -- 2nd Series MB
   [VMIG-1](DOUBLE DAGGER)
   3.550% 10/01/96 ........................       $ 7,835   $ 7,835,000
                                                            -----------
                                                             13,635,000
                                                            -----------
MICHIGAN--0.6%
Michigan State Hospital Finance
   Authority Daughters of Charity MB
   [AA, Aa](DOUBLE DAGGER)
   4.000% 11/01/96 ........................           875       875,518
Michigan State Strategic Fund Limited
   Obligation RB DN / (Comerica Bank
   Detroit LOC) [A-1, P-1](DAGGER)
   3.650% 09/07/96 ........................           800       800,000
Northville IDA (Thrifty Northville Project)
   Series 1984 DN / (LOC-FNB Chicago)
   [P-1](DAGGER)
   3.525% 09/07/96 ........................         1,000     1,000,000
                                                            -----------
                                                              2,675,518
                                                            -----------
MISSOURI--3.3%
City of Berkeley IDA RB Exempt Facility
   DN (St. Louis Air Cargo Services, Inc.
   Project) / (LOC-Sumitomo Bank)
   [A-1](DAGGER)
   3.750% 09/07/96 ........................         5,200     5,200,000
City of Kansas IDA RB (Mid-America
   Health Services, Inc. Project)
   Series 1984 DN / (Bank of New York
   LOC) [A-1](DAGGER)
   3.650% 09/07/96 ........................         1,100     1,100,000
Kansas City IDA Demand Exempt Facility
   RB (K.C. Air Cargo Services, Inc.
   Project) DN / (LOC-Mellon Bank)
   [A-1](DAGGER)
   3.750% 09/07/96 ........................         7,600     7,600,000
                                                            -----------
                                                             13,900,000
                                                            -----------

                 See Accompanying Notes to Financial Statements.

                                        6

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF NET ASSETS (CONTINUED)
                                 AUGUST 31, 1996

                                                    PAR
                                                   (000)       VALUE
                                                  -------   -----------
NEBRASKA--0.9%
Lancaster Sun-Husker Foods, Inc.
   Project DN / (Bank of Tokyo LOC)
   [A-1+](DAGGER)
   4.150% 09/07/96 .........................      $ 3,800   $ 3,800,000
                                                            -----------
NEVADA--0.9%
Clark County Airport System Subordinate
   Lien RB DN Series 1995 A-2 / (Toronto
   Dominion LOC) [A-1+, VMIG-1](DAGGER)
   3.600% 09/07/96 .........................        1,680     1,680,000
Clark County IDA RB DN / (Swiss Bank
   LOC) [A-1+, VMIG-1](DAGGER)
   3.950% 09/01/96 .........................        2,300     2,300,000
                                                            -----------
                                                              3,980,000
                                                            -----------
NEW HAMPSHIRE--4.8%
Health and Higher Education Facility
   Authority Veteran Hospital Assoc.
   DN Series 1985 E / (AMBAC
   Insurance) [A-1+](DAGGER)
   3.400% 09/07/96 .........................          200       200,000
New Hampshire Higher Education &
   Health Facility DN (AMBAC Insurance)
   [A-1+, VMIG-1](DAGGER)
   3.450% 09/07/96 .........................          600       600,000
New Hampshire State Housing Finance
   Authority Multifamily RB Countryside
   Project DN / (General Electric Capital
   Corp. LOC) [VMIG-1](DAGGER)
   3.650% 09/07/96 .........................       14,700    14,700,000
New Hampshire State Housing Finance
   Authority Single Family Housing
   Bond MB / (FGIC Insurance) 
   [VMIG-1](DOUBLE DAGGER)
   3.650% 01/15/97 .........................        4,500     4,500,000
                                                            -----------
                                                             20,000,000
                                                            -----------
NORTH CAROLINA--0.1%
Mecklenburg County Industrial Facility
   and Pollution Control Financing
   Authority (Edgcomb Metals Co.
   Project) Series 1984 DN / (Banque
   Nationale de Paris LOC)(DAGGER)
   3.500% 09/07/96 .........................          300       300,000
                                                            -----------


                                                     PAR
                                                    (000)       VALUE
                                                   -------   -----------
NORTH DAKOTA--0.8%
North Dakota Housing Finance Agency
   Housing Finance Program Bonds
   Home Mortgage Finance Program
   DN / (FGIC Insurance) [VMIG-1](DAGGER)
   3.850% 04/03/97 ........................       $ 3,500   $ 3,500,000
                                                            -----------
OKLAHOMA--0.5%
Oklahoma Development Finance
   Authority Shawnee Funding Limited
   DN / (Bank of Nova Scotia LOC)(DAGGER)
   3.650% 09/07/96 ........................         2,000     2,000,000
                                                            -----------
PUERTO RICO--0.1%
Puerto Rico Industrial Medical Health
   Education and Environmental PCR
   (Anna G. Mendez Project) DN /
   (LOC-Bank of Tokyo) [A-1](DAGGER)
   3.550% 09/07/96 ........................           600       600,000
                                                            -----------
RHODE ISLAND--0.5%
Rhode Island Housing & Mortgage
   Finance Corp. Convertible Home
   Ownership Opportunity Bonds
   Series 19 D MB / (Society General
   LOC) [A-1+, VMIG-1](DOUBLE DAGGER)
   3.550% 01/30/97 ........................         2,000     2,000,000
                                                            -----------
SOUTH CAROLINA--3.7%
Anderson County IDA RB for Culp, Inc.
   Project DN / (Wachovia LOC)(DAGGER)
   3.600% 09/07/96 ........................         6,580     6,580,000
Marlboro County Solid Waste Disposal
   Facilities RB DN (Willamette Industries,
   Inc. Project) Series 1995 (LOC-
   Deutsche Bank A.G.) [A-1](DAGGER)
   4.050% 09/07/96 ........................         9,000     9,000,000
                                                            -----------
                                                             15,580,000
                                                            -----------
TENNESSEE--2.5%
Memphis General Improvement DN /
   (LOC-West Deutsche Landesbank)
   [A-1+, VMIG-1](DAGGER)
   3.600% 09/07/96 ........................         1,000     1,000,000

                 See Accompanying Notes to Financial Statements.

                                        7

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF NET ASSETS (CONTINUED)
                                 AUGUST 31, 1996

                                                  PAR
                                                 (000)       VALUE
                                                -------   -----------
TENNESSEE--(CONTINUED)
Metropolitan Nashville Airport Authority,
   Airport Improvement Series 1993 RB
   DN / (FGIC Insurance)
   [A-1+, VMIG-1](DAGGER)
   3.500% 09/04/96 ......................       $ 1,100   $ 1,100,000
Montgomery County Public Building
   Authority County Loan Pool G.O. DN /
   (NCNB LOC) [A-1](DAGGER)
   3.550% 09/07/96 ......................         2,400     2,400,000
Oak Ridge Municipal Solid Waste
   Disposal Facility Bonds
   Series 1996 M4 Environmental
   Project DN / (Sunbank LOC)(DAGGER)
   3.650% 09/07/96 ......................         6,000     6,000,000
                                                          -----------
                                                           10,500,000
                                                          -----------
TEXAS--6.9%
Angelina and Neches River Authority
   Solid Waste Disposal RB MB
   [A-1, P-1](DOUBLE DAGGER)
   3.800% 10/11/96 ......................         5,300     5,300,000
Brazos River Harbor Navigation
   (Dow Chemical Co. Project)
   Series 1988 DN [P-1](DAGGER)
   3.700% 10/11/96 ......................         2,000     2,000,000
Harris County Health Facilities
   Development Corp. Hospital
   RB DN [A-1+](DAGGER)
   3.750% 09/01/96 ......................         7,200     7,200,000
San Antonio Housing Finance Corp.
   (Wellington Place Apartments)
   (LOC-Banc One) Series 1995
   A DN [A-1+, AA](DAGGER)
   3.600% 09/07/96 ......................         3,000     3,000,000
State of Texas TAN [SP-1+, MIG]
   4.750% 08/29/97 ......................         7,000     7,053,017
Texas State Veterans Housing
   Authority MB(DOUBLE DAGGER)
   3.900% 11/06/96 ......................         4,000     4,000,000
Travis County Housing Finance
   Authority MB(DOUBLE DAGGER)
   4.000% 11/01/96 ......................           430       430,255
                                                          -----------
                                                           28,983,272
                                                          -----------


                                                     PAR
                                                    (000)       VALUE
                                                   -------   -----------
UTAH--2.0%
Intermountain Power Agency Power
   Supply Refunding Series 1985 E (Spa-
   Bank of America) RB MB / (Morgan
   Guaranty LOC) [A-1, VMIG-1](DOUBLE DAGGER)
   3.930% 06/16/97 ..........................      $ 2,000   $2,000,000
Salt Lake Airport RB DN (LOC-Credit
   Suisse) [A-1+, VMIG-1](DAGGER)
   3.450% 09/07/96 ..........................        2,300    2,300,000
Utah State Board of Regents Student
   Loan Revenue Series C RB DN /
   (Dresdner Bank LOC) [A-1+, VMIG-1](DAGGER)
   3.550% 09/07/96 ..........................        3,400    3,400,000
Utah State Board of Regents Student
   Loan Revenue Series L RB DN /
   (Dresdner Bank LOC) [A-1+, VMIG-1](DAGGER)
   3.550% 09/07/96 ..........................          900      900,000
                                                             ----------
                                                              8,600,000
                                                             ----------
VERMONT--0.2%
Vermont Educational & Health Buildings
   Agency Hospital RB (AMBAC Insurance)
   DN [A-1+, VMIG-1](DAGGER)
   3.450% 09/07/96 ..........................          855      855,000
                                                             ----------
VIRGINIA--5.7%
Alexandria IDA Adjustable Tender
   Resource Recovery (Alexandria/
   Arlington Waste-to-Energy Facility)
   Series 1986 A DN / (Swiss Bank LOC)
   [VMIG-1, A-1+](DAGGER)
   3.900% 09/01/96 ..........................          200      200,000
Alexandria Redevelopment & Housing
   Authority Multi-Family Housing
   Series A DN [A-1](DAGGER)
   3.550% 09/07/96 ..........................        3,100    3,100,000
Capital Region Airport Commission
   (Richmond International Airport
   Project) Series 1995 B DN / (AMBAC
   Insurance ) [A-1+, VMIG-1](DAGGER)
   3.300% 09/07/96 ..........................        1,700    1,700,000
Capital Region Airport Commission
   (Richmond International Airport
   Project) Series 1995 C DN / (AMBAC
   Insurance) [VMIG-1, A-1+](DAGGER)
   3.450% 09/07/96 ..........................        2,500    2,500,000

                 See Accompanying Notes to Financial Statements.

                                        8

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF NET ASSETS (CONTINUED)
                                 AUGUST 31, 1996

                                                    PAR
                                                   (000)      VALUE
                                                  -------  -----------
VIRGINIA--(CONTINUED)
Culpeper Town IDA Residential Care
   Facility RB DN / (NCNB LOC) [A-1](DAGGER)
   3.550% 09/07/96 .........................      $  500   $ 500,000
Fairfax County IDA DN Series 1988 C /
   (LOC-Credit Suisse) [A-1+](DAGGER)
   3.650% 09/07/96 .........................         200     200,000
King George County IDA (Birchwood
   Power Partners, L.P. Project)
   Series 1995 DN / (Credit Suisse LOC)
   [A-1+](DAGGER)
   4.000% 09/07/96 .........................       1,300   1,300,000
Louisa County IDA Pooled Financing
   Series 1995 DN (LOC-Nations Bank)
   [A-1](DAGGER)
   3.500% 09/07/96 .........................       2,500   2,500,000
Lynchburg Hospital RB Federal Housing
   Authority Mid-Atlantic
   Series 1985 E DN / (AMBAC Insurance)
   [A-1](DAGGER)
   3.350% 09/07/96 .........................         800     800,000
Lynchburg IDA Hospital Facilities
   (Mid-Atlantic States Capital Asset
   Finance Project) Series 1985 C DN /
   (AMBAC Insurance)
   [A-1+, VMIG-1](DAGGER)
   3.350% 09/07/96 .........................         500     500,000
Lynchburg IDA Hospital Facilities
   (Mid-Atlantic States Capital Asset
   Finance Project) Series 1985 G DN
   (AMBAC Insurance) [VMIG-1](DAGGER)
   3.350% 09/07/96 .........................       7,900   7,900,000
Peninsula Port Authority Port Facility
   (Shell Coal and Terminal Co.)
   Series 1987 DN (AMBAC Insurance)
   [Aaa, A-1+](DAGGER)
   3.800% 09/01/96 .........................       1,000   1,000,000
Peninsula Port Authority Dominion
   Terminal Series 1987 D MB / (Barclays
   Bank LOC) [A1+, P-1](DOUBLE DAGGER)
   3.850% 09/01/96 .........................         800     800,000


                                                     PAR
                                                    (000)       VALUE
                                                   -------   -----------
VIRGINIA--(CONTINUED)
Peninsula Port IDA RB (Allied Signal, Inc.
Project) Series 1993 (Allied Signal
Corp. Obligation) DN [A-1](DAGGER)
3.650% 09/07/96 ............................       $ 1,000   $ 1,000,000
                                                             -----------
                                                              24,000,000
                                                             -----------
WASHINGTON--1.2%
Port of Seattle IDA DN (Alaska Airlines
   Project) / (Bank of NY LOC) [A-1](DAGGER)
   3.600% 09/07/96 .........................         4,580     4,580,000
Washington State Adjustable Rate G.O.
   Bonds DN / (Landesbank Hessen LOC)
   [A-1+, VMIG-1](DAGGER)
   3.500% 09/07/96 .........................           400       400,000
                                                             -----------
                                                               4,980,000
                                                             -----------
WEST VIRGINIA--2.5%
Grant County Municipal Solid Waste
   MB [VMIG-1](DOUBLE DAGGER)
   3.850% 09/10/96 .........................         5,000     5,000,000
Marshall County IDA US/Canada Project
   DN / (Harris Trust & Savings Bank
   LOC) [A-1+, AA-](DAGGER)
   3.650% 09/07/96 .........................         3,500     3,500,000
West Virginia Hospital Finance Authority
   Hospital RB DN (VHA Mid-Atlantic
   States, Inc. Capital Asset)
   (AMBAC Insurance) [A-1+, VMIG-1](DAGGER)
   3.450% 09/07/96 .........................           600     1,200,000
West Virginia Hospital Finance Authority
   Hospital RB DN (Mid-Atlantic
   Capital Finance Project) Series 1985
   C DN (AMBAC Insurance)
   [A-1+, VMIG-1](DAGGER)
   3.450% 09/07/96 .........................           700       700,000
                                                             -----------
                                                              10,400,000
                                                             -----------
WISCONSIN--1.1%
Carlton DN Wisconsin Power &
   Light Project [P-1](DAGGER)
   3.600% 09/07/96 .........................         4,800     4,800,000
                                                             -----------

                 See Accompanying Notes to Financial Statements.

                                        9

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF NET ASSETS (CONCLUDED)
                                 AUGUST 31, 1996


                                                    VALUE
                                                ------------
TOTAL INVESTMENTS AT VALUE--99.8%
   (Cost $420,156,916*)                         $420,156,916

OTHER ASSETS IN EXCESS
   OF LIABILITIES--0.2%                              731,430
                                                ------------
NET ASSETS (Applicable to
   202,009,609 Bedford shares
   129,398,582 Bradford shares
   115,765 Cash Preservation shares
   89,426,172 Janney Montgomery
   Scott shares, 5,143 RBB shares
   and 800 other shares)--100.0%                $420,888,346
                                                ============
NET ASSET VALUE, offering and
   redemption price per share
   ($420,888,346 (DIVIDE) 420,956,071)                 $1.00
                                                       =====
*  Also cost for Federal income tax purposes.
(DAGGER) Variable Rate Demand Notes -- The interest rate shown is the rate as of
         August  31,  1996 and the  maturity  shown is the  longer  of  the next
         interest readjustment date or the date the principal amount  shown  can
         be recovered through demand.
(DOUBLE DAGGER)  Put Bonds -- Maturity date is the put date.

The Moody's  Investor  Service,  Inc. and Standard  and Poor's  Ratings  Group's
ratings  indicated  are the most recent  ratings  available  at August 31, 1996.
These  ratings  have not  been  audited  by the  Independent  Accountants,  and,
therefore, are not covered by the report of Independent Accountants.

INVESTMENT ABBREVIATIONS
BAN.................................Bond Anticipation Note
DN.............................................Demand Note
GO.....................................General Obligations
LOC.......................................Letter of Credit
IDA.......................Industrial Development Authority
MB..........................................Municipal Bond
PCR..............................Pollution Control Revenue
RAN..............................Revenue Anticipation Note
RAW..........................Revenue Anticipation Warrants
RB............................................Revenue Bond
TAN..................................Tax Anticipation Note
TECP...........................Tax Exempt Commercial Paper
TRAN.....................Tax and Revenue Anticipation Note

                 See Accompanying Notes to Financial Statements.

                                       10



<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                             STATEMENT OF OPERATIONS
                       FOR THE YEAR ENDED AUGUST 31, 1996

Investment Income
   Interest ...................................................    $15,900,230
                                                                   -----------

Expenses
   Investment advisory fees ...................................      1,409,660
   Administration fees ........................................        428,209
   Distribution fees ..........................................      2,427,986
   Directors' fees ............................................          7,715
   Custodian fees .............................................         88,191
   Transfer agent fees ........................................        291,739
   Legal fees .................................................         17,721
   Audit fees .................................................         12,514
   Registration fees ..........................................        192,999
   Insurance expense ..........................................          9,056
   Printing fees ..............................................         72,100
   Miscellaneous ..............................................            387
                                                                   -----------
                                                                     4,958,277

   Less fees waived ...........................................     (1,236,642)
   Less expense reimbursement by advisor ......................        (17,576)
                                                                   -----------
        Total expenses ........................................      3,704,059
                                                                   -----------
   Net investment income ......................................     12,196,171
                                                                   -----------
   Realized loss on investments ...............................           (674)
                                                                   -----------
   Net increase in net assets resulting from operations .......    $12,195,497
                                                                   ===========

                 See Accompanying Notes to Financial Statements.


                                       11

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                       STATEMENT OF CHANGES IN NET ASSETS

<TABLE>
<CAPTION>
                                                                            FOR THE            FOR THE
                                                                          YEAR ENDED         YEAR ENDED
                                                                        AUGUST 31, 1996    AUGUST 31, 1995
                                                                        ---------------    ---------------
<S>                                                                      <C>                <C>         
Increase (decrease) in net assets:
Operations:
  Net investment income ............................................     $ 12,196,171       $  9,691,756
  Net gain (loss) on investments ...................................             (674)             7,009
                                                                         ------------       ------------
  Net increase in net assets resulting from operations .............       12,195,497          9,698,765
                                                                         ------------       ------------
Distributions to shareholders:
Dividends to shareholders from net investment income:
  Bedford shares ...................................................       (5,960,711)        (5,717,451)
  Bradford Shares ..................................................       (3,611,114)        (3,266,535)
  Cash Preservation shares .........................................           (3,746)            (5,648)
  Janney Montgomery Scott shares ...................................       (2,620,457)          (701,975)
  RBB shares .......................................................             (143)              (147)
                                                                         ------------       ------------
    Total distributions to shareholders ............................      (12,196,171)        (9,691,756)
                                                                         ------------       ------------
Net capital share transactions .....................................       (1,864,843)       140,043,103
                                                                         ------------       ------------
Total increase (decrease) in net assets ............................       (1,865,517)       140,050,112

Net Assets:
  Beginning of year ................................................      422,753,863        282,703,751
                                                                         ------------       ------------
  End of year ......................................................     $420,888,346       $422,753,863
                                                                         ============       ============
</TABLE>

                 See Accompanying Notes to Financial Statements.


                                       12

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                            FINANCIAL HIGHLIGHTS (c)
                (FOR A SHARE OUTSTANDING THROUGHOUT EACH PERIOD)

<TABLE>
<CAPTION>
                                                                                                                     FOR THE PERIOD
                                                FOR THE           FOR THE          FOR THE            FOR THE       JANUARY 10, 1992
                                                 YEAR              YEAR             YEAR               YEAR         (COMMENCEMENT OF
                                                 ENDED             ENDED            ENDED              ENDED         OPERATIONS) TO
                                             AUGUST 31, 1996   AUGUST 31, 1995   AUGUST 31, 1994   AUGUST 31, 1993   AUGUST 31, 1992
                                             ---------------   --------------    ---------------   ---------------  ----------------

<S>                                             <C>               <C>               <C>               <C>               <C>      
   Net asset value, beginning of period ....    $    1.00         $    1.00         $    1.00         $   1.00          $    1.00
                                                ---------         ---------         ---------         --------          ---------
   Income from investment operations:
      Net investment income ................       0.0288            0.0297            0.0195           0.0195             0.0154
                                                ---------         ---------         ---------         --------          ---------
        Total from investment operations ...       0.0288            0.0297            0.0195           0.0195             0.0154
                                                ---------         ---------         ---------         --------          ---------
   Less distributions
      Dividends (from net investment income)      (0.0288)          (0.0297)          (0.0195)         (0.0195)           (0.0154)
                                                ---------         ---------         ---------         --------          ---------
        Total distributions ................      (0.0288)          (0.0297)          (0.0195)         (0.0195)           (0.0154)
                                                ---------         ---------         ---------         --------          ---------
   Net asset value, end of period ..........    $    1.00         $    1.00         $    1.00         $   1.00          $    1.00
                                                =========         =========         =========         ========          =========
   Total Return ............................        2.92%             3.01%             1.97%            1.96%            2.42%(b)
   Ratios /Supplemental Data
      Net assets, end of period (000) ......    $ 129,399         $ 110,936         $ 100,089         $ 76,975          $  69,586
      Ratios of expenses to average
       net assets ..........................       .84%(a)           .82%(a)           .77%(a)          .77%(a)         .77%(a)(b)
      Ratios of net investment income
       to average net assets ...............        2.88%             2.97%             1.95%            1.95%            2.40%(b)

<FN>
(a)  Without  the waiver of  advisory  fees and  without  the  reimbursement  of
     certain  operating  expenses,  the ratios of expenses to average net assets
     would have been 1.12%,  1.14%,  1.11% and 1.16% for the years ended  August
     31, 1996, 1995, 1994 and 1993,  respectively,  and 1.16% annualized for the
     period ended August 31, 1992.

(b)  Annualized.

(c)  Financial  Highlights  relate soley to the Bradford  Class of Shares within
     the portfolio.

</FN> 
</TABLE>


                 See Accompanying Notes to Financial Statements.


                                       13

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                          NOTES TO FINANCIAL STATEMENTS
                                 AUGUST 31, 1996

NOTE 1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

     The RBB Fund, Inc. (the "Fund") is registered under the Investment  Company
Act of 1940, as amended, as an open-end management  investment company. The Fund
was incorporated in Maryland on February 29, 1988.

     The Fund has authorized capital of thirty billion shares of common stock of
which 12.35 billion shares are currently classified into sixty-six classes. Each
class  represents an interest in one of seventeen  investment  portfolios of the
Fund. The classes have been grouped into fifteen separate  "families",  eight of
which have begun  investment  operations:  the RBB Family,  the BEA Family,  the
Sansom Street Family,  the Bedford Family,  the Cash  Preservation  Family,  the
Janney Montgomery Scott Money Family,  the n/i Family,  and the Bradford Family.
The  Bradford  Municipal  Money  Market  Shares  represent  an  interest  in the
Municipal Money Market Portfolio, which is covered in this report.

              A) SECURITY VALUATION -- Portfolio securities are valued under the
     amortized cost method,  which approximates current market value. Under this
     method,  securities  are valued at cost when  purchased  and  thereafter  a
     constant proportionate  amortization of any discount or premium is recorded
     until  maturity  of the  security.  Regular  review and  monitoring  of the
     valuation  is  performed  in an attempt to avoid  dilution or other  unfair
     results to  shareholders.  The Portfolio  seeks to maintain net asset value
     per share at $1.00.

              B)  SECURITY   TRANSACTIONS  AND  INVESTMENT  INCOME  --  Security
     transactions  are accounted for on the trade date.  The cost of investments
     sold is  determined by use of the specific  identification  method for both
     financial reporting and income tax purposes. Interest income is recorded on
     the accrual basis.  Certain expenses,  principally  distribution,  transfer
     agency  and  printing,  are  class  specific  expenses  and vary by  class.
     Expenses not  directly  attributable  to a specific  portfolio or class are
     allocated  based on  relative  net  assets  of each  portfolio  and  class,
     respectively.

              C)  DISTRIBUTIONS TO SHAREHOLDERS -- Dividends from net investment
     income are declared daily and paid monthly.  Any net realized capital gains
     are distributed at least annually.  Income  distributions  and capital gain
     distributions  are  determined  in accordance  with income tax  regulations
     which may differ from generally accepted accounting principles.

              D) FEDERAL  INCOME TAXES -- No provision is made for Federal taxes
     as it is the Fund's intention to have the portfolio continue to qualify for
     and elect the tax treatment  applicable to regulated  investment  companies
     under the Internal Revenue Code and make the requisite distributions to its
     shareholders which will be sufficient to relieve it from Federal income and
     excise taxes.

              E) 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 at the date of the financial  statements
     and the  reported  amounts of revenues and  expenses  during the  reporting
     period. Actual results could differ from those estimates.


                                       14

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                    NOTES TO FINANCIAL STATEMENTS (CONTINUED)
                                 AUGUST 31, 1996

NOTE 2. TRANSACTIONS WITH AFFILIATES AND RELATED PARTIES

     Pursuant to an Investment Advisory Agreement,  PNC Institutional Management
Corp.  ("PIMC"),  a wholly owned subsidiary of PNC Asset Management Group, Inc.,
which is in turn a wholly owned  subsidiary  of PNC Bank,  National  Association
("PNC Bank"),  serves as investment advisor for the portfolio  described herein.
PNC Bank serves as the sub-advisor for the Municipal Money Market Portfolio.

     For its advisory services,  PIMC is entitled to receive the following fees,
computed daily and payable  monthly based on the  portfolio's  average daily net
assets:

                .35% of first $250 million of net assets;
                .30% of next $250 million of net assets;
                .25% of net assets in excess of $500 million.

     PIMC may, at its  discretion,  voluntarily  waive all or any portion of its
advisory fee for this portfolio. For each class of shares within this portfolio,
the net advisory fee charged to each class is the same on a relative basis.  For
the year ended August 31,  1996,  advisory  fees and waivers for the  investment
portfolio were as follows:

           GROSS                                             NET
         ADVISORY                                         ADVISORY
            FEE                   WAIVER                     FEE
        ----------            ------------                --------
        $1,409,660            $ (1,218,973)               $190,687

     PNC Bank,  as  sub-advisor,  receives a fee  directly  from  PIMC,  not the
portfolio.  In  addition,  PNC Bank serves as  custodian  for each of the Fund's
portfolios.  PFPC Inc. ("PFPC"), an indirect wholly owned subsidiary of PNC Bank
Corp., serves as each class's transfer and dividend disbursing agent.

     PFPC may, at its  discretion,  voluntarily  waive all or any portion of its
transfer agency fee for any class of shares. For the year ended August 31, 1996,
transfer  agency fees and waivers for each class of shares within the investment
portfolio were as follows:

<TABLE>
<CAPTION>
                                                        GROSS                                            NET
                                                   TRANSFER AGENCY                                 TRANSFER AGENCY
                                                         FEE                    WAIVER                   FEE
                                                   ---------------          --------------         ---------------
        <S>                                           <C>                      <C>                    <C>      
        Bedford Class                                 $ 104,373                $      --              $ 104,373
        Bradford Class                                   59,772                       --                 59,772
        Cash Preservation Class                           8,783                   (8,303)                   480
        Janney Montgomery Scott Class                   109,422                       --                109,422
        RBB Class                                         9,389                   (9,366)                    23
                                                      ---------                ---------              ---------
          Total                                       $ 291,739                $ (17,669)             $ 274,070
                                                      =========                =========              =========
</TABLE>


                                       15

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                    NOTES TO FINANCIAL STATEMENTS (CONTINUED)
                                 AUGUST 31, 1996

NOTE 2. TRANSACTIONS WITH AFFILIATES AND RELATED PARTIES (CONTINUED)

     In addition,  PFPC serves as  administrator  for the Municipal Money Market
Portfolio.  The  administration  fee is computed daily and payable monthly at an
annual rate of .10% of the  Portfolio's  average daily net assets.  For the year
ended August 31, 1996, administration fee for the portfolio was as $428,209.

     The Fund,  on behalf of each class of shares  within  this  portfolio,  has
adopted  Distribution  Plans pursuant to Rule 12b-1 under the Investment Company
Act of 1940,  as  amended,  and has entered  into  Distribution  Contracts  with
Counsellors  Securities  Inc.  ("Counsellors"),  which provide for each class to
make monthly payments based on average net assets,  to Counsellors of up to .65%
on an annualized  basis for the Bedford,  Bradford,  Cash  Preservation,  Janney
Montgomery  Scott and RBB Classes and up to .20% on an annualized  basis for the
Sansom Street Class.

     For the year ended August 31, 1996,  distribution  fees for each class were
as follows:

                                                    DISTRIBUTION
                                                         FEE
                                                    --------------
          Bedford Class                               $ 1,139,416
          Bradford Class                                  723,264
          Cash Preservation Class                             531
          Janney Montgomery Scott Class                   564,754
          RBB Class                                            21
                                                      -----------
             Total                                    $ 2,427,986
                                                      ===========

     The Fund has entered into service agreements with banks affiliated with PNC
Bank who render support  services to customers who are the beneficial  owners of
the Sansom Street Class in consideration of the payment of .10% of the daily net
asset value of such shares.  For the year ended  August 31, 1996,  there were no
service organization fees for the Municipal Money Market Portfolio.


                                       16

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                    NOTES TO FINANCIAL STATEMENTS (CONTINUED)
                                 AUGUST 31, 1996

NOTE 3. CAPITAL SHARES

     Transactions  in capital  shares (at $1.00 per capital share) for each year
were as follows:

<TABLE>
<CAPTION>
                                                                  MUNICIPAL MONEY MARKET PORTFOLIO
                                                            ------------------------------------------
                                                               FOR THE                     FOR THE
                                                              YEAR ENDED                 YEAR ENDED
                                                            AUGUST 31, 1996            AUGUST 31, 1995
                                                           ----------------            ---------------
                                                                 VALUE                      VALUE
                                                            --------------             --------------
     <S>                                                    <C>                        <C>           
     Shares sold:
       Bedford Class                                        $1,022,457,772             $1,104,088,188
       Bradford Class                                          479,401,891                474,166,249
       Cash Preservation Class                                     171,907                    175,548
       Janney Montgomery Scott Class                           408,374,271                208,067,881
       RBB Class                                                    69,480                      5,004

     Shares issued in reinvestment of dividends:
       Bedford Class                                             5,847,767                  5,576,408
       Bradford Class                                            3,506,714                  3,126,860
       Cash Preservation Class                                       3,515                      5,478
       Janney Montgomery Scott Class                             2,602,869                    662,565
       RBB Class                                                       143                        146

     Shares repurchased:
       Bedford Class                                        (1,024,790,222)            (1,093,651,142)
       Bradford Class                                         (464,445,579)              (466,448,018)
       Cash Preservation Class                                    (220,929)                  (220,601)
       Janney Montgomery Scott Class                          (434,775,023)               (95,506,391)
       RBB Class                                                   (69,419)                    (5,072)
                                                            --------------             --------------
     Net increase (decrease)                                $   (1,864,843)            $  140,043,103
                                                            ==============             ==============
     Bradford Shares authorized                                500,000,000                500,000,000
                                                            ==============             ==============
</TABLE>


                                       17

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                    NOTES TO FINANCIAL STATEMENTS (CONTINUED)
                                 AUGUST 31, 1996

NOTE 4. NET ASSETS

     At August 31, 1996, net assets consisted of the following:

                                                      MUNICIPAL
                                                    MONEY MARKET
                                                      PORTFOLIO
                                                    -------------
          Capital paid-in
             Bedford Class                          $ 202,009,609
             Bradford Class                           129,398,582
             Cash Preservation Class                      115,765
             Janney Montgomery Scott Class             89,426,172
             RBB Class                                      5,143
             Other Classes                                    800

          Accumulated net realized gain (loss)
             on investments
             Bedford Class                                (69,803)
             Bradford Class                                   339
             Cash Preservation Class                            5
             Janney Montgomery Scott Class                  1,734
             RBB Class                                         --
                                                    -------------
                                                    $ 420,888,346
                                                    =============

NOTE 5. CAPITAL LOSS CARRYOVERS

     At August 31, 1996,  $67,725  capital  loss  carryovers  were  available to
offset future  realized gains of which $55,760  expires in 1999, $444 expires in
2000, $1,058 expires in 2001, $9,789 expires in 2002 and $674 expires in 2004.


                                       18

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                    NOTES TO FINANCIAL STATEMENTS (CONTINUED)
                                 AUGUST 31, 1996

NOTE 6. OTHER FINANCIAL HIGHLIGHTS

     The Fund  currently  offers  four  other  classes  of  shares  representing
interests in the Municipal Money Market Portfolio:  Bedford,  Cash Preservation,
Janney  Montgomery  Scott and RBB. Each class is marketed to different  types of
investors. Financial Highlights of the RBB and Cash Preservation classes are not
presented  in this  report  due to  their  immateriality.  Such  information  is
available  in the  annual  reports  of each  respective  family.  The  financial
highlights of certain of the other classes are as follows:

THE BEDFORD FAMILY
<TABLE>
<CAPTION>
                                                                        MUNICIPAL MONEY MARKET PORTFOLIO
                                             ---------------------------------------------------------------------------------------
                                                FOR THE           FOR THE           FOR THE           FOR THE           FOR THE
                                                 YEAR              YEAR              YEAR              YEAR              YEAR
                                                 ENDED             ENDED             ENDED             ENDED             ENDED
                                             AUGUST 31, 1996   AUGUST 31, 1995   AUGUST 31, 1994   AUGUST 31, 1993   AUGUST 31, 1992
                                             ---------------   ---------------   ---------------   ---------------   ---------------
<S>                                             <C>               <C>               <C>               <C>               <C>      
Net asset value, beginning of year.........     $    1.00         $    1.00         $    1.00         $    1.00         $    1.00
                                                ---------         ---------         ---------         ---------         ---------
Income from investment operations:
  Net investment income....................        0.0288            0.0297            0.0195            0.0195            0.0287
  Net gain on securities (both realized
   and unrealized) ........................            --                --                --                --                --
                                                ---------         ---------         ---------         ---------         ---------
     Total from investment operations              0.0288            0.0297            0.0195            0.0195            0.0287
                                                ---------         ---------         ---------         ---------         ---------

Less distributions:
  Dividends (from net investment income)...       (0.0288)          (0.0297)          (0.0195)          (0.0195)          (0.0287)
  Distributions (from capital gains).......            --                --                --                --                --
                                                ---------         ---------         ---------         ---------         ---------
     Total distributions...................       (0.0288)          (0.0297)          (0.0195)          (0.0195)          (0.0287)
                                                ---------         ---------         ---------         ---------         ---------
Net asset value, end of year...............     $    1.00         $    1.00         $    1.00         $    1.00         $    1.00
                                                =========         =========         =========         =========         =========
Total Return...............................         2.92%           3.01%(b)            1.97%             1.96%             2.90%
Ratios /Supplemental Data
  Net assets, end of year (000)............     $ 201,940         $ 198,425         $ 182,480         $ 215,577         $ 176,950
  Ratios of expenses to average net assets.        .84%(a)           .82%(a)           .77%(a)           .77%(a)           .77%(a)
  Ratios of net investment income to 
    average net assets ....................         2.88%             2.97%             1.95%             1.95%             2.87%

<FN>
(a)  Without  the waiver of  advisory  fees and  without  the  reimbursement  of
     certain operating  expenses,  the ratios of expenses average net assets for
     the Municipal Money Market Portfolio have been 1.12%,  1.14%,  1.12%, 1.16%
     and 1.15% for the years ended August 31, 1996,  1995,  1994, 1993 and 1992,
     respectively.
</FN>
</TABLE>


                                       19

<PAGE>


                     BRADFORD MUNICIPAL MONEY MARKET SHARES
                               THE RBB FUND, INC.
                        MUNICIPAL MONEY MARKET PORTFOLIO
                    NOTES TO FINANCIAL STATEMENTS (CONCLUDED)
                                 AUGUST 31, 1996

NOTE 6. OTHER FINANCIAL HIGHLIGHTS (CONTINUED)

THE JANNEY MONTGOMERY SCOTT FAMILY

<TABLE>
<CAPTION>
                                                                                 MUNICIPAL MONEY
                                                                                MARKET PORTFOLIO
                                                                        ---------------------------------
                                                                                          FOR THE PERIOD
                                                                                           JUNE 12, 1995
                                                                            FOR THE      (COMMENCEMENT OF
                                                                          YEAR ENDED      OPERATIONS) TO
                                                                        AUGUST 31, 1996   AUGUST 31, 1995
                                                                        ---------------  ----------------

     <S>                                                                   <C>             <C>        
     Net asset value, beginning of period ...........................      $    1.00       $      1.00
                                                                           ---------       -----------

     Income from investment operations:
       Net investment income ........................................         0.0278            0.0063
                                                                           ---------       -----------
       Total from investment operations .............................         0.0278            0.0063
                                                                           ---------       -----------

     Less distributions
       Dividends (from net investment income) .......................        (0.0278)          (0.0063)
                                                                           ---------       -----------
       Total distributions ..........................................        (0.0278)          (0.0063)
                                                                           ---------       -----------

     Net asset value, end of period .................................      $    1.00       $      1.00
                                                                           =========       ===========

     Total Return ...................................................          2.81%           2.87%(b)

     Ratios /Supplemental Data
       Net assets, end of period (000) ..............................      $  89,428       $   113,226
       Ratios of expenses to average net assets .....................        0.94%(a)       1.00%(a)(b)
       Ratios of net investment income to average net assets ........          2.78%           2.83%(b)

<FN>
(a)  Without  the waiver of  advisory  fees and  without  the  reimbursement  of
     certain  operating  expenses to average net assets for the Municipal  Money
     Market  Portfolio  would have been 1.23% for the year ended August 31, 1996
     and 1.30% annualized for the period ended August 31, 1995.

(b)  Annualized.
</FN>
</TABLE>


                                       20

<PAGE>




                        TAX INFORMATION FOR SHAREHOLDERS
                                   (UNAUDITED)

In the twelve  months ended August 31, 1996 (the end of the Fund's fiscal year),
100%  of the  dividends  paid  by the  Municipal  Money  Market  Portfolio  were
exempt-interest  dividends  for  purposes of federal  income taxes and free from
such taxes.  However,  approximately  47% of such dividends was  attributable to
interest on private activity bonds which must be included in federal alternative
minimum  taxable  income for the purpose of  determining  liability  for federal
alternative minimum tax.

In  January  1997,  you will be  furnished  with a schedule  showing  the yearly
percentage  breakdown  by state or U.S.  possession  of the  source of  interest
earned by the Municipal Money Market Portfolio in 1996. It is suggested that you
consult your tax adviser  concerning the  applicability of state and local taxes
to dividends paid by the Fund during the year.

                                       21

<PAGE>


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