MUNICIPAL HIGH INCOME FUND INC
N-30B-2, 1994-08-22
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[LOGO]                                                                    [LOGO]
 
                                   MUNICIPAL
                                  HIGH INCOME
                                   FUND INC.
 
                                                          QUARTERLY
                                                            REPORT
                            [LOGO]
 
                                                             JULY
                                                           31, 1994
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                                     [LOGO]
                        MUNICIPAL HIGH INCOME FUND INC.
Dear Shareholder:
 
    We  are pleased to provide the quarterly report and portfolio of investments
for Municipal High Income Fund Inc. for the third quarter ended July 31, 1994.
 
    The volatile  market  environment we  described  in the  Fund's  semi-annual
report  abated  somewhat during  the past  quarter,  and although  the municipal
market will undoubtedly encounter periodic volatility and downturns, we  believe
the worst is now behind us. We attribute the improvement in market conditions to
several  factors. Inflation fears appear to  be gradually ebbing from the market
as recent  economic data  indicates  a slowing  in the  rate  of growth  of  the
economy.  In addition,  the decline in  bond prices resulted  in very attractive
yields of six  to six  and one-half  percent on  high-quality municipals  bonds,
which  attracted  investors  to the  market.  Finally, the  new-issue  supply of
long-term municipal bonds has virtually evaporated. Versus last year,  long-term
issuance  has declined by 40  percent. The majority of  municipal issuance is in
the short-term market, which is more  affected by Federal Reserve activity.  The
result  of these factors  is greater confidence  on the part  of investors and a
greater willingness to commit money to long-term municipal securities.
 
    The high yielding sector of the  municipal market in which the Fund  invests
was  less volatile  than the  higher-quality sectors  of the  market. High yield
issues generally do  not react  as quickly or  with as  much volatility  because
there   is  less  issuance  in  this  sector.  Consequently,  the  total  return
performance of  this  Fund  was  better than  some  closed-end  funds  investing
generally  in more highly  rated instruments. The Fund's  net asset value showed
some slight improvement during  the past three months,  increasing to $9.24  per
share  on  July 29,  1994 from  $9.21 on  May  2, 1994.  The Fund's  stock price
rebounded quite nicely to $9.125  on July 29, 1994 from  $8.875 on May 2,  1994,
the  beginning of the fiscal quarter. The Fund generated a total return for this
quarter of 2.13% based on net asset value, and 2.05% based on its stock price.
 
    The Fund continues to be managed  with the objective of providing  investors
with  tax-free  income through  investments  in securities  exempt  from Federal
personal income taxes.  In an effort  to reach  this goal we  have invested  the
majority  of  the portfolio  in  hospital, industrial  development,  and housing
bonds. Although the Fund has the  ability to invest more heavily in  lower-rated
issues  than it does,  we continue to  focus on longer-term  securities and have
eschewed  the  lowest   rated  instruments.  Even   in  an  improving   economic
environment,  the  yields of  lower-rated  issues do  not  adequately compensate
investors for their additional risk. We also used the decline in the bond market
as an
 
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opportunity to trade  into higher-rated, higher-yielding  issues, which made  it
unnecessary  to purchase  more speculative  issues. Believing  the worst  of the
volatility is behind us, we also extended the average maturity of the Fund to 21
years during the past three months.
 
    We are pleased to  share with you  that the Fund continues  to be awarded  a
four-star  rating from Morningstar Closed-End  Funds, and a "Buy" recommendation
from  Frank   Cappiello's  Closed-End   Fund  Digest.   Both  publications   are
well-respected sources of information about closed-end funds.
 
    Additionally,  at their  June meeting,  the Board  of Directors  of the Fund
approved an amendment to the Fund's Dividend Reinvestment Plan. Under the  Plan,
a  shareholder can elect to have dividends automatically reinvested in shares of
the Fund. If 98%  of the net asset  value per share of  the Fund's stock at  the
time  of valuation for purposes of  the dividend distribution exceeds the market
price of  the  stock, or  if  the Fund  declares  a dividend  or  capital  gains
distribution  payable only in cash, the  Plan's purchasing agent will buy shares
of the Fund's  stock in  the open market  for the  plan participants'  accounts.
Under  the current Plan, these purchases  commence on the dividend payment date.
The Directors revised the Plan to provide that the purchasing agent may commence
purchases of shares on the open market as of record date in anticipation of  the
dividend  payment.  It  is  hoped  that  this  will  decrease  the  cost  of the
repurchased shares by increasing  the amount of time  over which such  purchases
can  be made, so that purchases on the  open market will not be compacted into a
small window following the  payment date. This revision  will be effective  upon
the first dividend declaration after December 1, 1994
 
    The  stock price  of the Fund  is reported  in most daily  newspapers in the
listing for securities traded  on the New York  Stock Exchange, Inc. Its  weekly
closing  price and net  asset value per  share are reported  in Barron's and the
Monday edition of The Wall Street Journal. Please call The Shareholders Services
Group, Inc. at (800) 331-1710 if you have any questions about your investment in
the Fund. We look forward to reporting to you in the upcoming annual report.
 
Sincerely,
 
Heath B. McLendon                         Lawrence T. McDermott
CHAIRMAN OF THE BOARD                     VICE PRESIDENT AND INVESTMENT OFFICER
 
August 15, 1994
 
                                       2
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                                     [LOGO]
                            UNAUDITED FINANCIAL DATA
                           PER SHARE OF COMMON STOCK
 
<TABLE>
<CAPTION>
                                                                        CAPITAL
                                     NYSE                                GAINS       DIVIDEND
 RECORD                PAY          CLOSING      NET ASSET   DIVIDEND   DIVIDEND   REINVESTMENT
 DATE                  DATE         PRICE*        VALUE*       PAID       PAID        PRICE
 --------------------  --------  -------------   ---------   --------   --------   ------------
 <S>                   <C>       <C>             <C>         <C>        <C>        <C>
 11/22/93              11/30/93      $9.375        $9.60      $.0540       --          $9.55
 12/23/93              12/31/93       9.375         9.65       .0540     $.0210         9.47
 1/24/94               1/31/94        9.625         9.66       .0540       --           9.47
 2/18/94               2/28/94        9.500         9.60       .0540       --           9.41
 3/24/94               3/31/94        9.125         9.42       .0540       --           8.96
 4/22/94               4/30/94        8.875         9.21       .0540       --           9.01
 5/23/94               5/31/94        9.000         9.18       .0540       --           9.00
 6/23/94               6/30/94        9.000         9.23       .0540       --           8.98
 7/22/94               7/31/94        9.125         9.20       .0540       --           9.02
</TABLE>
 
                                DIVIDEND DATA**
 
<TABLE>
<CAPTION>
                                      EQUIVALENT TAXABLE DISTRIBUTION RATE
                              ----------------------------------------------------
  PER SHARE      ANNUALIZED    ASSUMING     ASSUMING     ASSUMING      ASSUMING
   DIVIDEND     DISTRIBUTION  28% FEDERAL  31% FEDERAL  36% FEDERAL  39.6% FEDERAL
 DISTRIBUTIONS      RATE      TAX BRACKET  TAX BRACKET  TAX BRACKET   TAX BRACKET
 ------------   ------------  -----------  -----------  -----------  -------------
 <S>            <C>           <C>          <C>          <C>          <C>
    $0.486         7.01%         9.74%       10.16%       10.95%        11.61%
</TABLE>
 
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 * As of Record Date.
** Based on July 31, 1994 net asset  value of $9.24 per share. Does not  include
   capital gains dividend of $.021 per share.
 
    Generally,  each registered shareholder  is considered a  participant in the
Fund's Dividend Reinvestment Plan, unless the shareholder elects to receive  all
dividends  and distributions  in cash,  or unless  the shareholder's  shares are
registered in the name  of a broker,  bank or nominee  (other than Smith  Barney
Inc.)   which  does  not  provide  the  service.  Questions  and  correspondence
concerning the Dividend Reinvestment Plan should be directed to The  Shareholder
Services  Group, Inc. ("TSSG"),  P.O. Box 1376,  Boston, Massachusetts 02104. If
interested  in  joining  or  for   more  information  concerning  the   Dividend
Reinvestment Plan, please call TSSG at 1-800-331-1710.
 
                                       3
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                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                        Portfolio of Investments
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
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                         KEY TO INSURANCE ABBREVIATIONS
 
                   MBIA -- MUNICIPAL BOND INVESTORS ASSURANCE
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 <C>         <S>                                             <C>      <C>         <C>
 MUNICIPAL BONDS AND NOTES--98.6%
             ALABAMA--0.4%
 $  740,000  Alabama Housing Finance Authority, Single
               Family Mortgage Revenue,
               10.500% due 12/01/02........................  A1       AA-         $     788,100
             ARIZONA--2.0%
  3,300,000  Gila County, Arizona, Industrial Development
               Authority, Pollution Control Revenue,
               (ASARCO), Series 1985,
               8.900% due 07/01/06.........................  Baa2     BBB             3,680,625
             ARKANSAS--1.7%
  2,750,000  Pope County, Arkansas, Pollution Control
               Revenue, (Arkansas Power & Light Company
               Project),
               11.000% due 12/01/15........................  Baa2     BBB             3,011,250
             CALIFORNIA--1.2%
  2,000,000  Los Angeles County, California, Regional
               Airport Authority, (Continental Airlines,
               Inc.),
               9.000% due 08/01/17.........................  NR       NR              2,185,000
             COLORADO--0.7%
  1,250,000  Colorado Health Facilities, Authority Revenue
               Project, (Beth Israel at Shalom Park
               Project),
               8.000% due 12/15/22.........................  NR       NR              1,289,063
             CONNECTICUT--0.8%
  1,500,000  Connecticut State, Development Authority,
               Health Care Revenue, Series B,
               8.000% due 07/01/17.........................  NR       NR              1,513,125
             FLORIDA--6.6%
  1,500,000  Broward County, Florida, Educational
               Facilities, (NOVA Project),
               8.500% due 04/01/10.........................  NR       BBB             1,740,000
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       4
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                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             FLORIDA (CONTINUED)
 $1,000,000  Hillsborough County, Florida, Industrial
               Development Revenue, (Seaboard Tampa
               Terminals Venture Project),
               8.600% due 01/15/22.........................  B2       B           $     985,000
  1,000,000  Homestead, Florida, Industrial Development
               Revenue, Project A,
               7.950% due 11/01/18.........................  NR       NR                950,000
  2,110,000  Jacksonville, Florida, Health Facilities
               Authority, Health Facilities Revenue,
               9.125% due 10/15/19.........................  NR       NR              2,183,850
  1,000,000  Lady Lake, Florida, Industrial Development
               Project Revenue, (Sunbelt Utilities Inc.
               Project),
               9.500% due 07/01/10.........................  NR       NR              1,042,500
    100,000  Martin County, Florida Pollution Control,
               2.900% due 09/01/24.........................  A2       A+                100,000
  1,500,000  Ocean Highway & Port Authority, Florida,
               Pollution Control Revenue, Solid Waste,
               9.375% due 11/01/04.........................  NR       B+              1,515,000
             Palm Beach County, Florida, Health Facilities
               Authority, Insured Hospital Revenue,
               (JFK Medical Center):
  1,155,000    8.875% due 12/01/18.........................  NR       BBB             1,280,606
  1,320,000    8.875% due 12/01/18 (prerefunded 12/01/98)..  NR       NR              1,544,400
    650,000  Tampa, Florida, (Aquarium Inc. Revenue
               Project),
               7.750% due 05/01/27.........................  NR       NR                697,937
             GEORGIA--0.6%
  1,000,000  Walton County, Georgia, Industrial Development
               Authority, (Walton Project),
               8.500% due 09/01/07.........................  NR       NR              1,037,500
             ILLINOIS--6.9%
  2,987,000  Chicago, Illinois, O'Hare International
               Airport, Special Facilities Revenue Bonds,
               Series B,
               8.950% due 05/01/18.........................  Baa2     BB              3,308,102
  1,700,000  Chicago, Illinois Skyway Toll Bridge,
               6.750% due 01/01/17.........................  Baa      BBB-            1,689,375
  2,000,000  East Chicago, Illinois, Industrial Pollution
               Control Revenue, (Inland Steel Company),
               Project 10,
               6.800% due 06/01/13.........................  Ba3      BB-             1,957,500
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       5
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                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             ILLINOIS (CONTINUED)
 $1,960,000  Hanover Park, Illinois, First Mortgage,
               (Windsor Project),
               9.250% due 12/01/07.........................  NR       NR          $   2,035,950
  1,750,000  Hennepin, Illinois, Industrial Development
               Revenue,
               10.250% due 01/01/05 (in default)...........  NR       NR                218,750
  1,500,000  Illinois Housing Development Authority, Series
               5,
               6.650% due 09/01/14.........................  A1       A+              1,505,625
    795,000  Loves Park, Illinois, First Mortgage Revenue,
               (Hoosier Care Project), Series A,
               9.750% due 08/01/19.........................  NR       NR                815,869
  1,000,000  Sterling, Illinois, First Mortgage Revenue,
               (Hoosier Care Project), Series A,
               9.750% due 08/01/19.........................  NR       NR              1,042,500
             INDIANA--0.8%
  1,500,000  Sullivan, Indiana, Pollution Control Revenue
               Refunding, (Indiana Michigan Power Company),
               5.950% due 05/01/09.........................  Baa2     BBB             1,423,125
             IOWA--0.7%
  1,240,000  Marion, Iowa, Multi-family Housing Revenue,
               9.500% due 07/01/18.........................  NR       NR              1,252,400
             KENTUCKY--2.8%
  1,410,000  Jefferson County, Kentucky, Health Facilities
               Authority,
               10.125% due 05/01/08........................  A1       NR              1,596,825
             Kenton County, Kentucky, Airport Board:
  1,000,000    (Delta Airlines),
               6.750% due 02/01/02.........................  Ba1      BB                981,250
  1,500,000    (Greater Cincinnati Airport Revenue),
               Project A,
               7.500% due 02/01/20.........................  Ba1      BB              1,500,000
  1,000,000  Pendleton County, Kentucky, Multi-Lease
               Revenue, Series A,
               6.500% due 03/01/19.........................  NR       A               1,003,750
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       6
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                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             LOUISIANA--4.0%
 $1,200,000  Lake Charles, Louisiana, (Harbor & Terminal
               Project),
               7.750% due 08/15/22.........................  Ba1      NR          $   1,278,000
     25,000  Louisiana Housing Finance Agency, Single
               Family Mortgage Revenue,
               13.625% due 09/01/02........................  A1       BB                 26,156
             Port New Orleans, Louisiana, Industrial
               Development Revenue, (Continental Grain
               Company Project),
  1,000,000    7.500% due 07/01/13.........................  NR       BB-             1,005,000
  2,000,000    8.250% due 06/01/14.........................  NR       NR              2,000,000
  3,000,000    8.500% due 06/01/14.........................  NR       NR              3,000,000
             MAINE--1.4%
  2,500,000  Maine State Housing Authority, Mortgage
               Purchases, Series D-1,
               8.300% due 11/15/28.........................  A1       AA-             2,565,625
             MARYLAND--2.0%
  3,000,000  Maryland State Health & Higher Education
               Facilities Authority, (Doctors Community
               Hospital Project),
               8.750% due 07/01/22 (prerefunded 07/01/00)..  Aaa      NR              3,600,000
             MASSACHUSETTS--5.9%
  1,980,000  Commonwealth of Massachusetts Health &
               Educational Facilities Authority Revenue,
               (North Adams State College),
               9.625% due 07/01/18.........................  NR       NR              2,041,875
             Commonwealth of Massachusetts Industrial
               Finance Agency:
  1,700,000    Series A, (S.E. Mass Project),
               9.000% due 07/01/15.........................  NR       NR              1,899,750
  5,940,000    Series B, (S.E. Mass Project),
               9.250% due 07/01/15.........................  NR       NR              6,667,650
             MICHIGAN--2.4%
  1,855,000  Greater Detroit, Michigan, Recreation
               Authority, Series C,
               9.250% due 12/13/08.........................  NR       BBB-            1,977,894
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       7
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                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             MICHIGAN (CONTINUED)
 $  755,000  Greater Detroit, Michigan, Resource Recovery
               Authority Revenue, Series B,
               9.250% due 12/13/08.........................  NR       BBB-        $     805,019
  1,500,000  Western Townships, Michigan, Utility Revenue,
               Sewage System,
               8.300% due 01/01/19.........................  NR       BBB+            1,571,250
             MINNESOTA--1.1%
  2,000,000  Minnesota State Housing Finance Agency,
               6.700% due 01/01/18.........................  Aa       AA+             2,007,500
             MISSISSIPPI--3.4%
  3,300,000  Claiborne County, Mississippi, Pollution
               Control Revenue, Series C,
               9.875% due 12/01/14.........................  NR       NR              3,848,625
  2,000,000  Mississippi Hospital Equipment & Facilities
               Authority, (Methodist Hospital),
               9.375% due 05/01/12.........................  NR       NR              2,352,500
             MONTANA--1.1%
  2,000,000  Montana State Board Investment Resource
               Recovery Revenue, (Yellowstone Energy LP
               Project),
               7.000% due 12/31/19.........................  NR       NR              1,945,000
             NEW HAMPSHIRE--2.2%
             New Hampshire State Industrial Development
               Authority, (United Illuminating Company):
  1,000,000    Series A,
               9.375% due 07/01/12.........................  Baa3     BBB-            1,103,750
  2,500,000    Series B,
               10.750% due 10/01/12........................  Ba1      BBB-            2,915,625
             NEW JERSEY--2.7%
  1,300,000  New Jersey Educational Facilities, Series C,
               6.625% due 07/01/23.........................  NR       NR              1,215,500
             New Jersey Health Care Facilities, Finance
               Authority Revenue:
  1,730,000    7.600% due 07/01/21.........................  Ba       NR              1,734,325
  1,500,000    (Zurbrugg Memorial Hospital), Series C,
               8.500% due 07/01/12.........................  Baa      BBB-            1,576,875
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       8
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             NEW JERSEY (CONTINUED)
 $  310,000  New Jersey Housing and Mortgage Finance
               Agency, Home Buyer Revenue, Series E, (MBIA
               Insured),
               7.650% due 10/01/16.........................  Aaa      AAA         $     328,987
             NEW MEXICO--1.1%
  1,860,000  New Mexico Mortgage Finance Authority, Single
               Family Mortgage Program, Series B,
               8.300% due 03/01/20.........................  NR       AA              1,985,550
             NEW YORK--6.2%
  1,680,000  Babylon, New York, Industrial Development
               Agency, (Recycling Project), Series A,
               8.875% due 03/01/11 (in default)............  NR       NR                840,000
  2,055,000  New York City Industrial Development Agency,
               Civic Facility Revenues, (International
               Center for Integrated Studies -- Door
               Project),
               9.000% due 03/01/09 (in default)............  NR       NR                411,000
  1,400,000  New York City, New York, Battery Park
               Authority Revenue,
               5.800% due 11/01/22.........................  A        A               1,286,250
             New York City, New York, Certificates of
               Participation:
    875,000    Series C,
               7.750% due 09/01/05.........................  Baa1     A-                939,531
  2,000,000    Series E,
               6.000% due 05/15/15.........................  Baa1     A-              1,897,500
               Series H:
  1,000,000    7.000% due 02/01/21.........................  Baa1     A-              1,055,000
  2,000,000    Sub-Series H-1,
               6.125% due 08/01/10.........................  Baa1     A-              1,942,500
  1,000,000  New York City, New York, Health & Hospital
               Corporation, Series A,
               6.300% due 02/15/20.........................  Baa      BBB               983,750
  1,950,000  New York State, Energy, Research & Development
               Authority, Electric Facility Revenue,
               7.150% due 12/01/20.........................  Baa1     BB+             1,971,937
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       9
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             NORTH CAROLINA--2.4%
 $1,750,000  Martin County, North Carolina, Industrial
               Facility and Pollution Control Revenue,
               6.800% due 05/01/24.........................  A2       A           $   1,782,813
  2,300,000  North Carolina, Eastern Municipal Power
               Agency, Power Systems Revenue,
               7.000% due 01/01/08.........................  A        A-              2,486,875
             OHIO--2.8%
  1,000,000  Cleveland, Ohio, Airport Special Revenue,
               (Continental Airlines Inc.),
               9.000% due 12/01/19.........................  NR       NR              1,046,250
  1,000,000  Cuyahoga County, Ohio Health Care Facilities,
               (Judson Retirement Community),
               8.875% due 11/15/19.........................  NR       NR              1,087,500
  1,500,000  Montgomery County, Ohio, Health Systems
               Revenue, Series B,
               8.100% due 07/01/18.........................  Baa      BBB-            1,642,500
    145,000  Ohio Housing Finance Agency, Single Family
               Mortgage Revenue,
               11.375% due 08/01/14........................  Aa       A                 150,619
  1,000,000  Ohio Water Development Authority, Pollution
               Control Revenue, Series A,
               8.100% due 10/01/23.........................  Baa3     BB+             1,077,500
             OKLAHOMA--0.4%
    625,000  Oklahoma Housing Finance Agency, Single Family
               Housing,
               10.750% due 03/01/07........................  Aa       A+                638,281
             PENNSYLVANIA--13.5%
  2,200,000  Allegheny County, Pennsylvania, Industrial
               Development Authority, Special Facilities
               Revenue, Series B, (U.S. Air Project),
               8.500% due 03/01/21.........................  B2       B+              2,200,000
  1,500,000  Delaware County, Pennsylvania, Industrial
               Development Authority, First Mortgage,
               (White Horse),
               9.700% due 07/01/09.........................  NR       NR              1,543,125
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       10
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             PENNSYLVANIA (CONTINUED)
 $3,000,000  Lebanon County, Pennsylvania, (Samaritan
               Hospital), Series B,
               8.250% due 11/01/18.........................  NR       BBB+        $   3,495,000
  2,500,000  Luzerne County, Pennsylvania, Industrial
               Development Authority,
               7.125% due 12/01/22.........................  Baa3     BBB-            2,528,125
  2,000,000  Montgomery County, Pennsylvania, Higher
               Education & Health Authority,
               8.375% due 11/01/11.........................  Ba1      NR              2,102,500
  4,440,000  Montgomery County, Pennsylvania, Industrial
               Development Authority, Pollution Control
               Revenue, (Philadelphia Electric Company),
               Series A,
               10.500% due 05/15/15........................  Baa1     BBB             4,756,350
    625,000  Northumberland County, Pennsylvania,
               Industrial Development Authority Revenue,
               6.875% due 02/01/03.........................  NR       NR                625,000
  2,000,000  Philadelphia, Pennsylvania, Gas Revenue,
               Series B,
               6.400% due 11/15/16.........................  Ba       BB              1,880,000
  1,500,000  Pennsylvania Housing Finance Agency,
               6.900% due 04/01/25.........................  Aa       AA              1,518,750
  1,000,000  Schuylkill County, Pennsylvania, Industrial
               Development Revenue,
               6.500% due 01/01/10.........................  NR       NR                943,750
  1,500,000  Scranton-Lackawanna, Pennsylvania, Health &
               Welfare Authority, (Mercy Health Systems),
               Series B,
               8.500% due 07/01/20.........................  NR       BB+             1,605,000
  1,250,000  Sharon, Pennsylvania, Regional Health Systems,
               (Project B),
               6.875% due 12/01/22.........................  NR       BBB+            1,239,063
             SOUTH CAROLINA--0.5%
    940,000  McCormick County, South Carolina, Certificates
               of Participation,
               9.750% due 07/01/09.........................  NR       NR                971,725
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       11
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             SOUTH DAKOTA--2.3%
             Oglala Sioux Tribe, South Dakota, Pine Ridge
               County, Revenue Bonds:
 $  315,000    7.000% due 07/01/99.........................  NR       NR          $     315,000
  1,865,000    7.500% due 07/01/13.........................  NR       NR              1,865,000
  1,890,000    10.000% due 07/01/13........................  Aaa      NR              2,048,042
             TEXAS--12.3%
    600,000  Angelina County, Texas, Jail Facilities
               Financing Corporation, (Criminal Detention
               Center), Mortgage Revenue Bonds,
               9.750% due 08/01/09 (in default)............  NR       NR                  6,000
  1,000,000  Bell County, Texas, Health Facilities
               Development Corporation, (Living Tech, Inc.
               Project), Series A,
               10.500% due 06/15/18........................  NR       NR                920,000
             Brazos River, Texas, Pollution Control
               Revenue, (Collateral-Tax, Project A):
  1,000,000    9.875% due 10/01/17.........................  Baa2     BBB             1,136,250
  2,000,000    8.250% due 01/01/19.........................  Baa2     BBB             2,222,500
  1,000,000  Dallas-Fort Worth, Texas, International
               Airport Facilities, (Delta Airlines Inc.),
               6.250% due 11/01/13.........................  Ba1      BB                896,250
  1,580,000  El Paso, Texas, Housing Finance Corporation,
               Single Family Mortgage Revenue,
               8.750% due 10/01/11.........................  A        NR              1,726,150
  2,000,000  El Paso, Texas, International Airport Revenue
               Bonds,
               7.750% due 03/01/12.........................  B2       B               2,027,500
  1,215,612  Harris County, Texas, Industrial Development
               Corporation,
               7.950% due 07/01/19.........................  NR       NR              1,173,066
    840,000  La Salle County, Texas, Jail Facilities
               Financing Corporation, (Criminal Detention
               Center), Revenue Mortgage Bonds,
               9.750% due 08/01/09 (in default)............  NR       NR                  8,400
  1,400,000  Matagorda County, Texas, Navigation District
               No. 1, Pollution Control Revenue, (Houston
               Lighting & Power Company Project), Series A,
               7.875% due 02/01/19.........................  A3       A               1,508,500
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       12
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             TEXAS (CONTINUED)
 $1,400,000  North Central, Texas, Health Facilities
               Development Project, (Hospital-Baylor Health
               Care Systems, Project A),
               8.980% due 05/15/08.........................  Aa       AA          $   1,422,750
             Northgate Crossing, Texas, Municipal Utilities
               District:
  1,000,000    Series 1, 8.875% due 12/01/13...............  NR       NR              1,010,000
  1,000,000    Series 2, 8.875% due 12/01/13...............  NR       NR              1,010,000
    570,000  Pecos County, Texas, Jail Facilities Financing
               Corporation, (Criminal Detention Center),
               Mortgage Revenue Bonds,
               9.750% due 08/01/09 (in default)............  NR       NR                  5,700
             Port Corpus Christi, Texas, Industrial
               Development Corporation Revenue, (Valero
               Refinancing and Marketing Company):
  2,500,000    Series A, 10.250% due 06/01/17..............  Baa3     BBB-            2,821,875
  2,000,000    Series B, 10.625% due 06/01/08..............  Baa3     BBB-            2,277,500
  2,000,000  San Saba County, Texas, Certificates of
               Participation,
               8.625% due 02/15/19.........................  NR       NR              2,112,500
             UTAH--1.0%
  1,780,000  Hurricane, Utah, Health Services Project,
               10.500% due 07/01/20........................  NR       NR              1,900,150
             VERMONT--1.4%
  2,365,000  Vermont Housing Finance Agency, Home Mortgage,
               Series B,
               8.100% due 06/01/22.........................  A1       NR              2,447,775
             VIRGINIA--1.5%
  2,600,000  Hopwell, Virginia, Industrial Development
               Resource Authority,
               8.250% due 06/01/16.........................  NR       NR              2,655,250
             WEST VIRGINIA--1.4%
  2,500,000  Marion County, West Virginia,
               County Commission,
               7.750% due 12/01/11.........................  NR       NR              2,468,750
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       13
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                       July 31, 1994 (unaudited)
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             PUERTO RICO--0.4%
 $  200,000  Commonwealth of Puerto Rico, General
               Obligation Bonds,
               8.000% due 07/01/08.........................  Baa1     A           $     223,750
    500,000  Commonwealth of Puerto Rico, Government
               Development Bank,
               2.550% due 12/01/15.........................  A1       A-1               500,000
                                                                                  -------------
 TOTAL MUNICIPAL BONDS AND NOTES (Cost $176,124,008)............................    178,684,285
 SHORT TERM MUNICIPAL NOTES--0.1% (Cost $100,000)
             NEW YORK--0.1%
    100,000  New York City, New York, Certificates of
               Participation, Sub-Series E-3,
               1.250% due 08/01/23+........................  Baa      BBB               100,000
                                                                                  -------------
</TABLE>
 
<TABLE>
  <S>                                                                     <C>      <C>
  TOTAL INVESTMENTS (Cost $176,224,008*)................................   98.7%   $178,784,285
  OTHER ASSETS AND LIABILITIES (Net)....................................    1.3       2,335,856
                                                                          -----      ----------
  NET ASSETS............................................................  100.0%   $181,120,141
                                                                          -----      ----------
                                                                          -----      ----------
<FN>
- ---------------
* Aggregate cost for Federal tax purposes.
+ Variable rate demand bonds are payable upon not more than seven calendar days'
notice.
</TABLE>
 
<TABLE>
<CAPTION>
         SUMMARY OF MUNICIPAL BONDS
            BY COMBINED RATINGS
               JULY 31, 1994
                      STANDARD &   PERCENT
 MOODY'S      OR        POOR'S     OF VALUE
- ---------             ----------  ----------
<S>        <C>        <C>         <C>
  Aaa                   AAA               3%
  Aa                    AA                6
  A                     A                12
  Baa                   BBB              29
  Ba                    BB                8
  B                     B                 4
  NR                    NR               38
                                         --
                                        100%
                                         --
                                         --
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       14
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                   Notes to Portfolio of Investments (unaudited)
 
[LOGO]
 
- ------------
 
1.  SIGNIFICANT ACCOUNTING POLICIES
 
    Municipal  High Income Fund Inc. (the "Fund") was organized as a corporation
under the laws of the State of Maryland on March 4, 1988 and is registered  with
the  Securities and Exchange Commission  as a diversified, closed-end management
investment company under  the Investment Company  Act of 1940,  as amended.  The
policies  described below are followed consistently by the Fund in the valuation
of its portfolio.
 
    PORTFOLIO VALUATION: Investments are valued by The Boston Company  Advisors,
Inc.  after  consultation with  an independent  pricing service  (the "Service")
approved by the Fund's Board of Directors. When, in the judgment of the Service,
quoted bid prices for investments  are readily available and are  representative
of  the bid side of the market, these investments are valued at the mean between
the quoted bid prices and asked  prices. Investments for which, in the  judgment
of  the  Service, no  readily obtainable  market  quotations are  available, are
carried at fair value  as determined by  the Service or by  the Fund's Board  of
Directors.  The Service may use electronic  data processing techniques and/ or a
matrix system to  determine valuations.  Short-term investments  that mature  in
fewer than 60 days are valued at amortized cost.
 
                        QUARTERLY RESULTS OF OPERATIONS
 
<TABLE>
<CAPTION>
                                                                                           NET INCREASE/
                                                                     NET REALIZED           (DECREASE)
                                                    NET             AND UNREALIZED         IN NET ASSETS
                             INVESTMENT         INVESTMENT           GAIN/(LOSS)          RESULTING FROM
                               INCOME             INCOME            ON INVESTMENTS          OPERATIONS
                          -----------------  -----------------  ----------------------  -------------------
                                       PER                PER                    PER                  PER
      QUARTER ENDED         TOTAL     SHARE    TOTAL     SHARE      TOTAL       SHARE      TOTAL     SHARE
 -----------------------  ----------  -----  ----------  -----  -------------   ------  -----------  ------
 <S>                      <C>         <C>    <C>         <C>    <C>             <C>     <C>          <C>
 January 31, 1992.......  $3,703,283  $0.20  $3,308,313  $0.18  $     598,707   $ 0.03  $ 3,907,020  $ 0.20
 April 30, 1992.........   3,602,971   0.19   3,244,453   0.17       (657,952)   (0.03)   2,586,501    0.14
 July 31, 1992..........   3,723,175   0.20   3,295,472   0.18      5,255,933     0.28    8,551,405    0.46
 October 31, 1992.......   3,491,667   0.19   3,126,003   0.17     (3,926,544)   (0.22)    (800,541)  (0.05)
 January 31, 1993.......   3,823,950   0.20   3,413,585   0.18      2,944,261     0.16    6,357,846    0.34
 April 30, 1993.........   3,416,422   0.18   3,042,358   0.16        241,324     0.01    3,283,682    0.17
 July 31, 1993..........   3,503,367   0.18   3,094,861   0.16       (691,663)   (0.04)   2,403,198    0.12
 October 31, 1993.......   3,570,033   0.18   3,158,719   0.17      1,925,858     0.10    5,084,577    0.27
 January 31, 1994.......   3,648,178   0.19   3,253,314   0.17        (48,811)    --      3,204,503    0.17
 April 30, 1994.........   3,536,568   0.18   3,168,209   0.16     (9,555,061)   (0.50)  (6,386,852)  (0.34)
 July 31, 1994..........   3,603,790   0.18   3,191,200   0.16        612,747     0.03    3,803,947    0.20
</TABLE>
 
                                       15
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                          Management of the Fund
[LOGO]
 
- ------------
 
DIRECTORS
 
Charles F. Barber
Allan J. Bloostein
Martin Brody
Dwight B. Crane
Robert A. Frankel
Heath B. McLendon
 
OFFICERS
 
Heath B. McLendon
CHAIRMAN OF THE BOARD
 
Stephen J. Treadway
PRESIDENT
 
Richard P. Roelofs
EXECUTIVE VICE PRESIDENT
 
Lawrence T. McDermott
VICE PRESIDENT AND
INVESTMENT OFFICER
 
Karen Mahoney-Malcolmson
VICE PRESIDENT AND
INVESTMENT OFFICER
 
Michael J. Maher
INVESTMENT OFFICER
 
Lewis E. Daidone
TREASURER
 
Christina T. Sydor
SECRETARY
 
INVESTMENT ADVISER
 
Greenwich Street Advisors
Two World Trade Center
New York, New York 10048
 
ADMINSTRATOR
 
Smith, Barney Advisers, Inc.
1345 Avenue of the Americas
New York, New York 10019
 
SUB-ADMINISTRATOR
 
The Boston Company Advisors, Inc.
One Boston Place
Boston, Massachusetts 02108
 
AUDITORS AND COUNSEL
 
Coopers & Lybrand
One Post Office Square
Boston, Massachusetts 02109
 
Willkie Farr & Gallagher
153 East 53rd Street
New York, New York 10022
 
TRANSFER AGENT
 
The Shareholder Services Group, Inc.
Exchange Place
Boston, Massachusetts 02109
 
CUSTODIAN
 
Boston Safe Deposit and
  Trust Company
One Boston Place
Boston, Massachusetts 02108
 
                                       16
<PAGE>
                                     [LOGO]
 
This report is sent to shareholders of Municipal High Income Fund Inc. for their
information. It is not a Prospectus, circular or representation intended for use
in  the purchase or sale of shares of the Fund or of any securities mentioned in
this report.
                        MUNICIPAL HIGH INCOME FUND INC.
                             Two World Trade Center
                               New York, NY 10048
                                 (212) 720-9218



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