MUNICIPAL HIGH INCOME FUND INC
N-30B-2, 1994-12-27
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<PAGE>
[LOGO]                                                                    [LOGO]
 
                                   MUNICIPAL
                                  HIGH INCOME
                                   FUND INC.
 
                                                            ANNUAL
                                                            REPORT
                                                       Small circle centered on
                                                       top front cover with fund
                                                       name in it. Entire front
                                                       cover is an American Flag
                                                       with two stars at top
                                                       right and left corner.
 
                                                           OCTOBER
                                                           31, 1994
<PAGE>
- ----------------------
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                                     [LOGO]
                        MUNICIPAL HIGH INCOME FUND INC.
Dear Shareholder:
 
    We  are pleased to provide the Annual  Report for Municipal High Income Fund
Inc. for the fiscal year  ended October 31, 1994.  Over the past twelve  months,
the  Fund paid dividends totaling $0.648  per share, equivalent to an annualized
distribution rate of  7.22% based on  the October  31, 1994 net  asset value  of
$8.98  per share and  7.85% based on  the New York  Stock Exchange, Inc. closing
price on that date of $8.25 per share.
 
PORTFOLIO UPDATE
 
    1994 has  produced  a difficult  investment  climate for  the  fixed  income
investor  as fear of  an economic expansion  and, by implication,  the threat of
inflation have gripped both the global  and domestic bond markets. In an  effort
to  combat inflation,  the Federal Reserve  has raised interest  rates six times
this year, and additional  increases may be possible  before year end. This  has
led  to  a bond  market characterized  by pessimism  and selling  pressures and,
consequently,  lower  prices   for  most  fixed-income   securities.  From   our
perspective,  however, trends currently aligning  themselves in the bond markets
should provide  positive  developments for  the  debt markets  in  general,  and
tax-exempt securities in particular.
 
    When  the markets become convinced that the  Federal Reserve will do what is
necessary to  slow economic  growth, volatility  should lessen  and bond  prices
should stabilize. This outcome becomes more likely as the Federal Reserve raises
short-term  rates. Futhermore, as the  Federal Reserve increases interest rates,
the U.S. dollar should strengthen, which  will heighten the appeal of U.S.  debt
instruments  to foreign investors and thereby provide additional support to U.S.
markets. Now that the fall election cycle is complete, the markets will  benefit
from  a clearer knowledge  of the political  makeup and fiscal  direction of our
government.
 
    The tax-exempt market  should continue  to benefit from  higher Federal  tax
rates  and a  lack of new  debt issuance, both  of which heighten  the value and
appeal of quality  tax-exempt income. Moreover,  municipals are at  increasingly
attractive  valuation levels as a percentage of Treasuries and should outperform
them on a relative basis  going forward. The fact that  our Fund is composed  of
older,  high-coupon bonds of good credit quality and is not leveraged means that
we are  well positioned  to meet  our investment  objective of  high  tax-exempt
current income at below average volatility and risk.
 
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<PAGE>
- ---------------------------
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                                     [LOGO]
    The  Fund continues  to earn  a 4-star  rating for  both its  short-term and
long-term performance from Morningstar Inc., a nationally-recognized mutual fund
review service.  We are  pleased  with this  recognition  and will  continue  to
endeavor  to maintain our standings. We appreciate your continued confidence and
support during this difficult investment environment.
 
Sincerely,
 
<TABLE>
<S>                                       <C>
Heath B. McLendon                         Lawrence T. McDermott
CHAIRMAN OF THE BOARD                     VICE PRESIDENT AND INVESTMENT OFFICER
 
November 30, 1994
</TABLE>
 
                                       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
  8/24/94   8/31/94       8.750         9.22       .0540       --           8.87
  9/23/94   9/30/94       8.500         9.13       .0540       --           8.66
 10/24/94  10/31/94       8.375         9.03       .0540       --           8.17
</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>
    $0.648         7.22%        10.03%       10.46%       11.28%        11.95%
</TABLE>
 
- ------------
 
 * As of Record Date.
** Based on October 31, 1994 net asset value of $8.98 per share. Does not
   include capital gains dividends 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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<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                        Portfolio of Investments
 
                                                                October 31, 1994
[LOGO]
 
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                         KEY TO INSURANCE ABBREVIATIONS
 
                   MBIA -- MUNICIPAL BOND INVESTORS ASSURANCE
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 <C>         <S>                                             <C>      <C>         <C>
 MUNICIPAL BONDS AND NOTES--97.7%
             ALABAMA--0.5%
 $  740,000  Alabama Housing Finance Authority, Single
               Family Mortgage Revenue,
               10.500% due 12/01/02........................  A1       AA-         $     778,850
             ARIZONA--2.1%
  3,300,000  Gila County, Arizona, Industrial Development
               Authority, Pollution Control Revenue,
               (ASARCO), Series 1985,
               8.900% due 07/01/06.........................  Baa2     BBB             3,610,500
             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             2,956,250
             CALIFORNIA--1.2%
  2,000,000  Los Angeles County, California, Regional
               Airport Authority, (Continental Airlines,
               Inc.),
               9.000% due 08/01/17.........................  NR       NR              2,152,500
             COLORADO--1.6%
  1,250,000  Colorado Health Facilities, Authority Revenue
               Project, (Beth Israel at Shalom Park
               Project),
               8.000% due 12/15/22.........................  NR       NR              1,268,750
  1,600,000  Denver, Colorado, City & County Airport
               Revenue, Series A,
               8.000% due 11/15/25.........................  Baa      BB              1,558,000
             CONNECTICUT--0.8%
  1,500,000  Connecticut State, Development Authority,
               Health Care Revenue, Series B,
               8.000% due 07/01/17.........................  NR       NR              1,464,375
</TABLE>
 
                       See Notes to Financial Statements.
                                       4
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             FLORIDA--6.7%
 $1,500,000  Broward County, Florida, Educational
               Facilities, (NOVA Project),
               8.500% due 04/01/10.........................  NR       BBB         $   1,702,500
  1,000,000  Hillsborough County, Florida, Industrial
               Development Revenue, (Seaboard Tampa
               Terminals Venture Project),
               8.600% due 01/15/22.........................  B2       B-                900,000
  1,000,000  Homestead, Florida, Industrial Development
               Revenue, Project A,
               7.950% due 11/01/18.........................  NR       NR                916,250
  2,090,000  Jacksonville, Florida, Health Facilities
               Authority, Health Facilities Revenue,
               9.125% due 10/15/19.........................  NR       NR              2,121,350
  1,000,000  Lady Lake, Florida, Industrial Development
               Project Revenue, (Sunbelt Utilities Inc.
               Project),
               9.500% due 07/01/10.........................  NR       NR              1,206,250
  1,500,000  Ocean Highway & Port Authority, Florida,
               Pollution Control Revenue, Solid Waste,
               9.375% due 11/01/04.........................  NR       B+              1,494,375
             Palm Beach County, Florida, Health Facilities
               Authority, Insured Hospital Revenue,
               (JFK Medical Center):
  1,155,000    8.875% due 12/01/18.........................  NR       BBB             1,251,731
  1,320,000    8.875% due 12/01/18 (prerefunded)...........  NR       NR              1,513,050
    650,000  Tampa, Florida, (Aquarium Inc. Revenue
               Project),
               7.750% due 05/01/27.........................  NR       NR                682,500
             GEORGIA--0.6%
  1,000,000  Walton County, Georgia, Industrial Development
               Authority, (Walton Project),
               8.500% due 09/01/07.........................  NR       NR              1,008,750
             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              3,229,694
  1,700,000  Chicago, Illinois, Skyway Toll Bridge,
               6.750% due 01/01/17.........................  Baa      BBB-            1,589,500
</TABLE>
 
                       See Notes to Financial Statements.
                                       5
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
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<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             ILLINOIS (CONTINUED)
 $2,000,000  East Chicago, Illinois, Industrial Pollution
               Control Revenue, (Inland Steel Company),
               Project 10,
               6.800% due 06/01/13.........................  Ba3      BB-         $   1,890,000
  1,960,000  Hanover Park, Illinois, First Mortgage,
               (Windsor Project),
               9.250% due 12/01/07.........................  NR       NR              1,996,750
  1,750,000  Hennepin, Illinois, Industrial Development
               Revenue,
               10.250% due 01/01/05 (in default)...........  NR       NR                157,500
  1,500,000  Illinois Housing Development Authority, Series
               5,
               6.650% due 09/01/14.........................  A1       A+              1,498,125
    795,000  Loves Park, Illinois, First Mortgage Revenue,
               (Hoosier Care Project), Series A,
               9.750% due 08/01/19.........................  NR       NR                807,919
  1,000,000  Sterling, Illinois, First Mortgage Revenue
               (Hoosier Care Project), Series A,
               9.750% due 08/01/19.........................  NR       NR              1,043,750
             INDIANA--0.8%
  1,500,000  Sullivan, Indiana, Pollution Control Revenue
               Refunding, (Indiana Michigan Power Company),
               5.950% due 05/01/09.........................  Baa2     BBB             1,340,625
             IOWA--0.7%
  1,240,000  Marion, Iowa, Multi-family Housing Revenue,
               9.500% due 07/01/18.........................  NR       NR              1,243,100
             KENTUCKY--2.7%
  1,410,000  Jefferson County, Kentucky, Health Facilities
               Authority,
               10.125% due 05/01/08........................  A1       NR              1,566,862
             Kenton County, Kentucky, Airport Board:
  1,000,000  (Delta Airlines),
               6.750% due 02/01/02.........................  Ba1      BB                957,500
  1,500,000  (Greater Cincinnati Airport Revenue), Project
               A,
               7.500% due 02/01/20.........................  Ba1      BB              1,406,250
  1,000,000  Pendleton County, Kentucky, Multi-Lease
               Revenue, Series A,
               6.500% due 03/01/19.........................  NR       A                 917,500
</TABLE>
 
                       See Notes to Financial Statements.
                                       6
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             LOUISIANA--4.1%
 $1,200,000  Lake Charles, Louisiana, (Harbor & Terminal
               Project),
               7.750% due 08/15/22.........................  Baa3     NR          $   1,245,000
             Port New Orleans, Louisiana, Industrial
               Development Revenue:
  2,000,000    8.250% due 06/01/04.........................  NR       NR              2,000,000
  3,000,000    8.500% due 06/01/14.........................  NR       NR              2,992,500
  1,000,000  (Continental Grain Company Project),
               7.500% due 07/01/13.........................  NR       BB-               952,500
             MAINE--1.7%
             Maine State Housing Authority:
               Mortgage Purchases,
    500,000  Series C-2,
               7.000% due 11/15/32.........................  A1       AA-               470,625
  2,500,000  Series D-1,
               8.300% due 11/15/28.........................  A1       AA-             2,540,625
             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              3,506,250
             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              2,009,700
             Commonwealth of Massachusetts
               Industrial Finance Agency:
  1,700,000  Series A, (S.E. Mass Project),
               9.000% due 07/01/15.........................  NR       NR              1,859,375
  5,940,000  Series B, (S.E. Mass Project),
               9.250% due 07/01/15.........................  NR       NR              6,526,575
             MICHIGAN--2.4%
  1,855,000  Greater Detroit, Michigan, Recreation
               Authority, Series C,
               9.250% due 12/13/08.........................  NR       BBB-            1,954,706
</TABLE>
 
                       See Notes to Financial Statements.
                                       7
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     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-        $     795,581
  1,500,000  Western Townships, Michigan, Utility Revenue,
               Sewage System,
               8.300% due 01/01/19.........................  NR       BBB+            1,550,625
             MINNESOTA--1.1%
  2,000,000  Minnesota Housing Finance Authority,
               Single Family Mortgage, Series H,
               6.700% due 01/01/18.........................  Aa       AA+             1,932,500
             MISSISSIPPI--3.5%
  3,300,000  Claiborne County, Mississippi, Pollution
               Control Revenue, Series C,
               9.875% due 12/01/14.........................  NR       NR              3,766,125
  2,000,000  Mississippi Hospital Equipment & Facilities
               Authority, (Methodist Hospital),
               9.375% due 05/01/12.........................  NR       NR              2,307,500
             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-            1,083,750
  2,500,000  Series B,
               10.750% due 10/01/12........................  Ba1      BBB-            2,850,000
             NEW JERSEY--3.2%
  1,300,000  New Jersey Educational Facilities, Series C,
               6.625% due 07/01/23.........................  NR       NR              1,165,125
             New Jersey Health Care Facilities,
  1,000,000    7.250% due 07/01/27.........................  NR       NR                907,500
             Finance Authority Revenue:
  1,730,000    7.600% due 07/01/21.........................  Ba       NR              1,684,588
  1,500,000  (Zurbrugg Memorial Hospital), Series C,
               8.500% due 07/01/12.........................  Baa      BBB-            1,560,000
</TABLE>
 
                       See Notes to Financial Statements.
                                       8
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     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         $     324,725
             NEW MEXICO--1.0%
  1,705,000  New Mexico Mortgage Finance Authority, Single
               Family Mortgage Program, Series B,
               8.300% due 03/01/20.........................  NR       AA              1,781,725
             NEW YORK--5.4%
  1,680,000  Babylon, New York, Industrial Development
               Agency, (Recycling Project), Series A,
               8.875% due 03/01/11 (in default)............  NR       NR                672,000
  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               1,184,750
             New York City, New York, Certificates of
             Participation:
    875,000    Series C,
               7.750% due 09/01/05.........................  Baa1     A-                910,000
  2,000,000    Series E,
               6.000% due 05/15/15.........................  Baa1     A-              1,737,500
  1,000,000    Series H,
               7.000% due 02/01/21.........................  Baa1     A-                980,000
  2,000,000    Sub-Series H-1,
               6.125% due 08/01/10.........................  Baa1     A-              1,810,000
  1,950,000  New York State, Energy, Research & Development
               Authority, Electric Facility Revenue,
               7.150% due 12/01/20.........................  Ba1      BB+             1,833,000
             NORTH CAROLINA--2.3%
  1,750,000  Martin County, North Carolina, Industrial
               Facilities Pollution Control,
               6.800% due 05/01/24.........................  A2       A               1,662,500
</TABLE>
 
                       See Notes to Financial Statements.
                                       9
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             NORTH CAROLINA (CONTINUED)
 $2,300,000  North Carolina, Eastern Municipal Power
               Agency, Power Systems Revenue,
               7.000% due 01/01/08.........................  A        A-          $   2,383,375
             OHIO--2.8%
  1,000,000  Cleveland, Ohio, Airport Special Revenue,
               (Continental Airlines Inc.),
               9.000% due 12/01/19.........................  NR       NR              1,026,250
  1,000,000  Cuyahoga County, Ohio, Health Care Facilities,
               Judson Retirement Community,
               8.875% due 11/15/19.........................  NR       NR              1,070,000
  1,500,000  Montgomery County, Ohio, Health Systems
               Revenue, Series B,
               8.100% due 07/01/18.........................  Baa      BBB-            1,580,625
    115,000  Ohio Housing Finance Agency, Single Family
               Mortgage Revenue,
               11.375% due 08/01/14........................  Aa       A                 118,881
  1,000,000  Ohio Water Development Authority, Pollution
               Control Revenue, Series A,
               8.100% due 10/01/13.........................  Baa3     BB+             1,046,250
    100,000  Toledo Lucas County, Ohio, Industrial
               Development Revenue Authority,
               3.400% due 03/01/04.........................  NR       NR                100,000
             PENNSYLVANIA--13.3%
  2,200,000  Allegheny County, Pennsylvania, Industrial
               Development Authority, Special Facilities
               Revenue, Series B, (U.S. Air Project),
               8.500% due 03/01/21.........................  B3       B-              1,991,000
  1,500,000  Delaware County Pennsylvania, Industrial
               Development Authority, First Mortgage,
               (White Horse),
               9.700% due 07/01/09.........................  NR       NR              1,513,125
  3,000,000  Lebanon County, Pennsylvania, (Samaritan
               Hospital), Series B,
               8.250% due 11/01/18.........................  NR       BBB+            3,412,500
  2,500,000  Luzerne County, Pennsylvania, Industrial
               Development Authority,
               7.125% due 12/01/22.........................  Baa3     BBB-            2,384,375
</TABLE>
 
                       See Notes to Financial Statements.
                                       10
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             PENNSYLVANIA (CONTINUED)
 $2,000,000  Montgomery County, Pennsylvania, Higher
               Education & Health Authority,
               8.375% due 11/01/11.........................  Ba1      NR          $   2,062,500
  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             4,711,950
    625,000  Northumberland County, Pennsylvania,
               Industrial Development Authority Revenue,
               6.875% due 02/01/03.........................  NR       NR                600,781
  1,500,000  Pennsylvania Housing Finance Authority, Single
               Family Mortgage, Series C,
               6.900% due 04/01/25.........................  Aa       AA              1,438,125
  2,000,000  Philadelphia, Pennsylvania, Gas Revenue,
               Series B,
               6.400% due 11/15/16.........................  Ba       BB              1,790,000
  1,000,000  Schuylkill County, Pennsylvania, Industrial
               Development Revenue,
               6.500% due 01/01/10.........................  NR       NR                908,750
  1,500,000  Scranton-Lackawanna, Pennsylvania, Health &
               Welfare Authority, (Mercy Health Systems),
               Series B,
               8.500% due 07/01/20.........................  NR       BB+             1,569,375
  1,250,000  Sharon, Pennsylvania, Regional Health Systems,
               (Project B),
               6.875% due 12/01/22.........................  NR       BBB+            1,157,812
             SOUTH CAROLINA--0.5%
    940,000  McCormick County, South Carolina, Certificates
               of Participation,
               9.750% due 07/01/09.........................  NR       NR                957,625
             SOUTH DAKOTA--2.3%
             Oglala Sioux Tribe, South Dakota, Pine Ridge
             County, Revenue Bonds:
    315,000    7.000% due 07/01/99.........................  NR       NR                310,669
  1,865,000    7.500% due 07/01/13.........................  NR       NR              1,802,057
  1,890,000    10.000% due 07/01/13........................  Aaa      NR              2,017,462
</TABLE>
 
                       See Notes to Financial Statements.
                                       11
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             TEXAS--12.6%
 $  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             1,111,250
  2,000,000    8.250% due 01/01/19.........................  Baa2     BBB             2,170,000
  1,500,000  Dallas-Fort Worth, Texas, International
               Airport Facilities,
               7.500% due 11/01/25.........................  Baa2     BB+             1,417,500
  1,495,000  El Paso, Texas, Housing Finance Corporation,
               Single Family Mortgage Revenue, Series A,
               8.750% due 10/01/11.........................  A        NR              1,614,600
  2,000,000  El Paso, Texas, International Airport Revenue
               Bonds,
               7.750% due 03/01/12.........................  B2       B               1,972,500
  1,215,612  Harris County, Texas, Industrial Development
               Corporation,
               7.950% due 07/01/19.........................  NR       NR              1,132,040
    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               1,480,500
  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              1,379,000
</TABLE>
 
                       See Notes to Financial Statements.
                                       12
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             TEXAS (CONTINUED)
             Northgate Crossing, Texas, Municipal Utilities
             District:
 $1,000,000    Series 1,
               8.875% due 12/01/13.........................  NR       NR          $     988,750
  1,000,000    Series 2,
               8.875% due 12/01/13.........................  NR       NR                988,750
    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-            2,765,625
  2,000,000    Series B,
               10.625% due 06/01/08........................  Baa3     BBB-            2,230,000
  2,000,000  San Saba County, Texas, Certificates of
               Obligation,
               8.625% due 02/15/19.........................  NR       NR              2,065,000
             UTAH--1.1%
  1,780,000  Hurricane, Utah, Health Services Project,
               10.500% due 07/01/20........................  NR       NR              1,871,225
             VERMONT--1.4%
  2,365,000  Vermont Housing Finance Agency, Home Mortgage,
               Series B,
               8.100% due 06/01/22.........................  A1       NR              2,421,170
             VIRGINIA--1.2%
  2,100,000  Hopwell, Virginia, Industrial Development
               Resource Authority,
               8.250% due 06/01/16.........................  NR       NR              2,152,500
             WEST VIRGINIA--1.3%
  2,500,000  Marion County, West Virginia, County
               Commission,
               7.750% due 12/01/11.........................  NR       NR              2,275,000
</TABLE>
 
                       See Notes to Financial Statements.
                                       13
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                                 (UNAUDITED)
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             PUERTO RICO--0.1%
 $  200,000  Commonwealth of Puerto Rico, General
               Obligation Bonds,
               8.000% due 07/01/08.........................  Baa1     A           $     219,250
                                                                                  -------------
</TABLE>
 
<TABLE>
  <S>                                                                     <C>      <C>
  TOTAL INVESTMENTS (Cost $177,055,935*)................................   97.7%    172,347,653
  OTHER ASSETS AND LIABILITIES (Net)....................................    2.3       4,031,302
                                                                          -----      ----------
  NET ASSETS............................................................  100.0%   $176,378,955
                                                                          -----      ----------
                                                                          -----      ----------
<FN>
- ---------------
* Aggregate cost for Federal tax purposes.
</TABLE>
 
<TABLE>
<CAPTION>
         SUMMARY OF MUNICIPAL BONDS
            BY COMBINED RATINGS
        OCTOBER 31, 1994 (UNAUDITED)
                      STANDARD &   PERCENT
 MOODY'S      OR        POOR'S     OF VALUE
- ---------             ----------  ----------
<S>        <C>        <C>         <C>
  Aaa                   AAA             3.4%
  Aa                    AA              6.1
  A                     A              11.8
  Baa                   BBB            30.3
  Ba                    BB              8.2
  B                     B               3.7
  NR                    NR             36.5
                                         --
                                        100%
                                         --
                                         --
</TABLE>
 
                       See Notes to Financial Statements.
                                       14
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                             Statement of Assets and Liabilities
 
                                                                October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<S>                                                   <C>          <C>
ASSETS:
  Investments, at value (Cost $177,055,935) (Note
   1)
    See accompanying schedule....................                  $172,347,653
  Interest receivable............................                     5,040,959
                                                                   ------------
    Total Assets.................................                   177,388,612
                                                                   ------------
LIABILITIES:
  Dividends payable..............................     $403,704
  Due to custodian...............................      376,513
  Investment advisory fee payable (Note 2).......       60,493
  Administration fee payable (Note 2)............       30,247
  Transfer agent fees payable (Note 2)...........       10,083
  Custodian fees payable (Note 2)................        7,200
  Accrued Directors' fees and expenses (Note
   2)............................................        6,017
  Accrued expenses and other payables............      115,400
                                                      --------
    Total Liabilities............................                     1,009,657
                                                                   ------------
NET ASSETS.......................................                  $176,378,955
                                                                   ------------
                                                                   ------------
NET ASSETS consist of:
  Undistributed net investment income............                  $    280,503
  Accumulated net realized loss on investments
   sold..........................................                    (2,666,650)
  Unrealized depreciation of investments.........                    (4,708,282)
  Par value......................................                       196,427
  Paid-in capital in excess of par value.........                   183,276,957
                                                                   ------------
    Total Net Assets.............................                  $176,378,955
                                                                   ------------
                                                                   ------------
NET ASSET VALUE, per share ($176,378,955
  DIVIDED BY 19,642,695 shares of common stock
 outstanding)....................................                         $8.98
                                                                   ------------
                                                                   ------------
</TABLE>
 
                       See Notes to Financial Statements.
                                       15
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                         Statement of Operations
 
                                             For the Year Ended October 31, 1994
[LOGO]
 
- ------------
 
<TABLE>
<S>                                                   <C>          <C>
INVESTMENT INCOME:
  Interest.......................................                  $ 14,308,419
EXPENSES:
  Investment advisory fee (Note 2)...............     $731,864
  Administration fee (Note 2)....................      365,932
  Legal and audit fees...........................      129,594
  Shareholders reports expense...................      100,390
  Transfer agent fees (Note 2)...................       74,177
  Custodian fees (Note 2)........................       45,845
  Directors' fees and expenses (Note 2)..........       32,113
  Amortization of organization costs (Note 5)....       10,425
  Other..........................................       41,044
                                                      --------
    Total Expenses...............................                     1,531,384
                                                                   ------------
NET INVESTMENT INCOME............................                    12,777,035
                                                                   ------------
REALIZED AND UNREALIZED LOSS ON INVESTMENTS
(NOTES 1 AND 3):
  Net realized loss on investments sold during
   the year......................................                    (2,666,650)
  Net unrealized depreciation of investments
   during the year...............................                   (11,469,648)
                                                                   ------------
NET REALIZED AND UNREALIZED LOSS ON
INVESTMENTS......................................                   (14,136,298)
                                                                   ------------
NET DECREASE IN NET ASSETS RESULTING FROM
OPERATIONS.......................................                  $ (1,359,263)
                                                                   ------------
                                                                   ------------
</TABLE>
 
                       See Notes to Financial Statements.
                                       16
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                              Statement of Changes in Net Assets
 
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                        YEAR             YEAR
                                                       ENDED            ENDED
                                                      10/31/94         10/31/93
                                                    ------------     ------------
<S>                                                 <C>              <C>
Net investment income..........................     $ 12,777,035     $ 12,709,523
Net realized gain/(loss) on investments sold
 during the year...............................       (2,666,650)         722,591
Net unrealized appreciation/(depreciation)
 during the year...............................      (11,469,648)       3,697,189
                                                    ------------     ------------
Net increase/(decrease) in net assets resulting
 from operations...............................       (1,359,263)      17,129,303
Distributions to shareholders from:
  Net investment income........................      (12,673,016)     (12,707,110)
  Net realized gain on investments.............         (389,249)         --
Net increase from Fund share transactions (Note
 4)............................................        2,506,452        4,768,088
                                                    ------------     ------------
Net increase/(decrease) in net assets..........      (11,915,076)       9,190,281
NET ASSETS:
Beginning of year..............................      188,294,031      179,103,750
                                                    ------------     ------------
End of year (including undistributed net
 investment income of $280,503 and $176,484,
 respectively).................................     $176,378,955     $188,294,031
                                                    ------------     ------------
                                                    ------------     ------------
</TABLE>
 
                       See Notes to Financial Statements.
                                       17
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                            Financial Highlights
 
                              For a Fund share outstanding throughout each year.
[LOGO]
 
- ------------
 
<TABLE>
<CAPTION>
                                                    YEAR        YEAR        YEAR        YEAR        YEAR         PERIOD
                                                    ENDED       ENDED       ENDED       ENDED       ENDED        ENDED
                                                  10/31/94    10/31/93    10/31/92    10/31/91    10/31/90     10/31/89*
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  <S>                                             <C>         <C>         <C>         <C>         <C>         <C>
  OPERATING PERFORMANCE:
  Net asset value, beginning
   of period....................................  $   9.72    $   9.49    $   9.42    $   9.28    $   9.52    $   9.35
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  Net investment income.........................      0.65        0.67        0.70        0.74        0.75        0.66
  Net realized and unrealized
   gain/(loss) on investments...................     (0.72)       0.23        0.06        0.15       (0.23)       0.15
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  Net increase/(decrease) in
   net assets resulting from
   operations...................................     (0.07)       0.90        0.76        0.89        0.52        0.81
 
  LESS DISTRIBUTIONS:
  Distributions from net
   investment income............................     (0.65)      (0.67)      (0.69)      (0.75)      (0.76)      (0.64)
  Distributions from net
   realized gains...............................     (0.02)      --          --          --          --          --
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  Total distributions...........................     (0.67)      (0.67)      (0.69)      (0.75)      (0.76)      (0.64)
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  Net asset value, end of year..................  $   8.98    $   9.72    $   9.49    $   9.42    $   9.28    $   9.52
                                                  ---------   ---------   ---------   ---------   ---------   ------------
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  Market value, end of year.....................  $  8.250    $  9.875    $  9.125    $  9.500    $  9.000    $  9.500
                                                  ---------   ---------   ---------   ---------   ---------   ------------
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  Total investment return***....................    (11.79)%     17.07%       2.74%      17.88%      (1.45)%      1.72%
                                                  ---------   ---------   ---------   ---------   ---------   ------------
                                                  ---------   ---------   ---------   ---------   ---------   ------------
  Ratios to average net assets/ supplemental
   data:
  Net assets, end of year
   (in 000's)...................................  $176,379    $188,294    $179,104    $173,290    $164,531    $164,221
  Ratio of net investment income
   to average net assets........................      6.98%       6.89%       7.31%       7.90%       8.00%       7.54%**
  Ratio of operating expenses to average net
   assets.......................................      0.84%       0.87%       0.87%       0.90%       0.87%       0.86%**+
  Portfolio turnover rate.......................        17%         13%         12%         22%         11%         16%
<FN>
- ---------------
 * The Fund commenced operations on November 28, 1988.
 ** Annualized.
*** Based on market value per share.
 + Annualized expense ratio before waiver by investment adviser was 0.88%.
</TABLE>
 
                       See Notes to Financial Statements.
                                       18
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                   Notes to Financial Statements
 
[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
preparation of its  financial statements in  conformity with generally  accepted
accounting principles.
 
    PORTFOLIO  VALUATION: Investments are valued by The Boston Company Advisors,
Inc. ("Boston Advisors") 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.
 
    SECURITIES TRANSACTIONS AND INVESTMENT  INCOME: Securities transactions  are
recorded  as of the trade date. Securities purchased or sold on a when-issued or
delayed-delivery basis may be settled a month or more after trade date. Realized
gains and losses  on investments sold  are recorded on  the basis of  identified
cost. Interest income is recorded on the accrual basis.
 
    DIVIDENDS AND DISTRIBUTIONS TO SHAREHOLDERS: It is the policy of the Fund to
make  monthly distributions of substantially all of its net investment income to
shareholders. Net  realized  capital  gains,  if any,  will  be  distributed  to
shareholders  at  least  once  a  year.  In  addition,  in  order  to  avoid the
application of a 4% nondeductible excise tax on certain undistributed amounts of
ordinary income and capital gains, the Fund may make an additional  distribution
shortly  before December 31 in each year of any undistributed ordinary income or
capital gains and expects  to make any other  distributions as are necessary  to
avoid the application of this tax. To the extent that net realized capital gains
can  be offset by capital losses and loss carryforwards, it is the policy of the
Fund not  to  distribute  such  gains. Income  distributions  and  capital  gain
distributions are determined in accordance with income tax regulations which may
differ  from  generally accepted  accounting  principles. These  differences are
primarily  due  to   timing  differences  and   differing  characterization   of
distributions made by the Fund as a whole.
 
                                       19
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                   Notes to Financial Statements
 
                                                                     (continued)
[LOGO]
 
- ------------
    FEDERAL INCOME TAXES: It is the policy of the Fund to qualify as a regulated
investment  company,  if  such qualification  is  in  the best  interest  of its
shareholders, by complying with the requirements of the Internal Revenue Code of
1986,  as  amended,  applicable  to   regulated  investment  companies  and   by
distributing  substantially all of its  earnings to its shareholders. Therefore,
no Federal income tax provision is required.
 
2.  INVESTMENT ADVISORY FEE, ADMINISTRATION FEE AND OTHER TRANSACTIONS
 
    The Fund has entered  into an investment  advisory agreement (the  "Advisory
Agreement")  with  Greenwich  Street  Advisors, formerly  a  division  of Mutual
Management Corp.,  which has  been transferred  effective November  7, 1994,  to
Smith Barney Mutual Funds Management Inc. ("SBMFM"). Mutual Management Corp. and
SBMFM  are  both  wholly  owned  subsidiaries  of  Smith  Barney  Holdings  Inc.
("Holdings"). Holdings is a wholly owned subsidiary of The Travelers Inc.  Under
the  Advisory Agreement, the Fund pays a monthly fee at the annual rate of 0.40%
of the value of its average daily net assets.
 
    Prior to June  1, 1994, the  Fund was party  to an administration  agreement
("Administration  Agreement")  with Boston  Advisors,  an indirect  wholly owned
subsidiary of  Mellon  Bank  Corporation ("Mellon").  Under  the  Administration
Agreement,  the Fund paid a monthly fee at the annual rate of 0.20% of the value
of its average monthly net assets. As of the close of business on June 1,  1994,
SBMFM  (formerly  known  as  "Smith, Barney  Advisers,  Inc.")  succeeded Boston
Advisors as the Fund's administrator. The new administration agreement  contains
substantially the same terms and conditions, including the level of fees, as the
predecessor agreement.
 
    As of the close of business on June 1, 1994, the Fund and SBMFM also entered
into  a sub-administration  agreement (the  "Sub-Administration Agreement") with
Boston Advisors.  Under  the  Sub-Administration Agreement,  SBMFM  pays  Boston
Advisors  a portion of its administration fee at a rate agreed upon from time to
time between SBMFM and Boston Advisors.
 
    No officer,  director,  or employee  of  Smith Barney  Inc.  or any  of  its
affiliates  receives any compensation from the Fund for serving as a Director or
officer of  the Fund.  The  Fund pays  each Director,  who  is not  an  officer,
director  or employee of Smith Barney or any of its affiliates, $5,000 per annum
plus $500 per meeting attended and reimburses each such Director for travel  and
out-of-pocket expenses.
 
    Boston  Safe Deposit and Trust Company,  an indirect wholly owned subsidiary
of Mellon, serves as the Fund's custodian. The Shareholder Services Group, Inc.,
a subsidiary of First Data Corporation, serves as the Fund's transfer agent.
 
                                       20
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                   Notes to Financial Statements
 
                                                                     (continued)
[LOGO]
 
- ------------
3.  SECURITIES TRANSACTIONS
 
    For the year  ended October 31,  1994, cost of  purchases and proceeds  from
sales  of  investment securities,  excluding short-term  investments, aggregated
$33,625,395 and $30,242,583, respectively.
 
    At October  31,  1994,  aggregate  gross  unrealized  appreciation  for  all
securities  in which  there was  an excess  of value  over tax  cost amounted to
$5,754,661, and aggregate  gross unrealized depreciation  for all securities  in
which there was an excess of tax cost over value amounted to $10,462,943.
 
4.  FUND SHARES
 
    At October 31, 1994, 500,000,000 shares of common stock, with a par value of
$.01 per share were authorized.
 
    Common stock transactions were as follows:
 
<TABLE>
<CAPTION>
                                                    YEAR ENDED           YEAR ENDED
                                                     10/31/94             10/31/93
                                                -------------------  -------------------
                                                SHARES     AMOUNT    SHARES     AMOUNT
                                                -------  ----------  -------  ----------
 <S>                                            <C>      <C>         <C>      <C>
 Issued as reinvestment of dividends..........  270,832  $2,506,452  503,252  $4,768,088
                                                -------  ----------  -------  ----------
                                                -------  ----------  -------  ----------
</TABLE>
 
5.  ORGANIZATION COSTS
 
    Costs  incurred by the Fund in  connection with its organization and initial
public offering of  shares amounted to  $625,578 and were  being amortized on  a
straight-line  basis over a  five-year period, beginning  November 28, 1988, the
date of the Fund's  commencement of operations. All  such costs have been  fully
amortized as of October 31, 1994.
 
6.  CONCENTRATION OF CREDIT
 
    The  Fund invests in securities offering high current income which generally
will be in  the lower  rating categories  of recognized  rating agencies.  These
securities  generally involve  more credit  risk than  securities in  the higher
rating categories. In addition, the trading market for high yield securities may
be relatively less liquid than the market for higher-rated securities.
 
7.  CAPITAL LOSS CARRYFORWARD
 
    At October 31, 1994, the Fund had available for Federal income tax  purposes
an unused capital loss carryforward of $2,666,650 expiring in 2002.
 
                                       21
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                   Notes to Financial Statements
 
                                                                     (continued)
[LOGO]
 
- ------------
                  QUARTERLY RESULTS OF OPERATIONS (UNAUDITED)
 
<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, 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     0.04    3,803,947    0.20
 October 31, 1994.......   3,519,883   0.18   3,164,312   0.16    (5,145,173)   (0.26)  (1,980,861)  (0.10)
</TABLE>
 
                                       22
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                               Report of Independent Accountants
 
[LOGO]
 
- ------------
 
To the Shareholders and Board of Directors of
Municipal High Income Fund Inc.:
 
    We  have audited  the accompanying  statement of  assets and  liabilities of
Municipal  High  Income   Fund  Inc.,  including   the  schedule  of   portfolio
investments,  as of October  31, 1994, the related  statements 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 five
years  in the period ended October 31, 1994 and for the period from November 28,
1988 (commencement  of operations)  through October  31, 1989.  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  securities owned  as  of
October 31, 1994 by correspondence with the custodian and brokers. 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
Municipal  High Income  Fund Inc.  as of  October 31,  1994, 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 the financial highlights for each of
the  five years  in the period  ended October 31,  1994 and for  the period from
November 28,  1988 (commencement  of operations)  through October  31, 1989,  in
conformity with generally accepted accounting principles.
                              COOPERS & LYBRAND L.L.P.
Boston, Massachusetts
December 15, 1994
 
                                       23
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                              Additional Information (unaudited)
 
[LOGO]
 
- ------------
 
PORTFOLIO MANAGEMENT
 
    Lawrence T. McDermott, who is a Vice President and Investment Officer of the
Fund,  is  primarily  responsible  for  management  of  the  Fund's  assets. Mr.
McDermott has served the Fund in these capacities since the commencement of  the
Fund's operations.
 
DIVIDEND REINVESTMENT PLAN
 
    Under  the Fund's Dividend Reinvestment and Cash Purchase Plan (the "Plan"),
a shareholder whose Common  Stock is registered  in his own  name will have  all
distributions  reinvested automatically by The  Shareholder Services Group, Inc.
("TSSG") as agent under the Plan, unless the shareholder elects to receive cash.
Distributions with respect to shares registered  in the name of a  broker-dealer
or other nominee (that is, in "street name") will be reinvested by the broker or
nominee  in additional Common Stock  under the Plan, but  only if the service is
provided by the broker or nominee, and  the broker or nominee makes an  election
on  behalf of  the shareholder  to participate  in the  Plan. Distributions with
respect  to  Common  Stock  registered  in   the  name  of  Smith  Barney   will
automatically  be reinvested by Smith Barney in additional shares under the Plan
unless the shareholder elects  to receive distributions  in cash. A  shareholder
who  holds Common Stock registered in the name  of a broker or other nominee may
not be  able to  transfer the  Common Stock  to another  broker or  nominee  and
continue  to participate in the Plan.  Investors who own Common Stock registered
in street name  should consult  their broker  or nominee  for details  regarding
reinvestment.
 
    The number of shares of Common Stock distributed to participants in the Plan
in  lieu of a cash dividend is  determined in the following manner. Whenever the
market price of the Fund's Common Stock is equal to or exceeds 98% of net  asset
value  per share  at the time  shares are  valued for determining  the number of
shares  equivalent  to  the  cash   dividend  or  capital  gains   distribution,
participants  will be issued shares of Common Stock valued at the greater of (i)
98% of net asset value per share or  (ii) 95% of the then current market  price.
If 98% of the net asset value per share of Common Stock at the time of valuation
exceeds the market price of the Common Stock, TSSG will buy shares of the Fund's
Common  Stock  on the  open  market, on  the New  York  Stock Exchange,  Inc. or
elsewhere, beginning on the record date  of the dividend or distribution,  until
it  has expended  for such  purchases all  of the  cash that  would otherwise be
payable to the participants.  The number of purchased  shares that will then  be
credited  to the participants' accounts  will be based on  the average per share
purchase price of the shares  so purchased, including brokerage commissions.  If
TSSG  commences purchases in the open market  and the market price of the shares
subsequently exceeds 98% of their net  asset value before the completion of  the
purchases, TSSG will attempt to terminate purchases in the open market and cause
the Fund to issue the remaining dividend or distribution in shares at 98% of the
net asset value per share. In
 
                                       24
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                              Additional Information (unaudited)
 
                                                                     (continued)
[LOGO]
 
- ------------
this case, the number of shares of Common Stock received by the participant will
be based on the weighted average of prices paid for shares purchased in the open
market and the price at which the Fund issues the remaining shares.
 
    Plan participants are not subject to any charge for reinvesting dividends or
capital   gains   distributions.  Each   participant   will,  however,   bear  a
proportionate share of  brokerage commissions  incurred with  respect to  TSSG's
open  market  purchases  of  shares  of  Common  Stock  in  connection  with the
reinvestment of dividends  or capital  gains distributions. For  the year  ended
October 31, 1994, no such brokerage commissions were incurred.
 
    The automatic reinvestment of dividends and capital gains distributions will
not  relieve Plan  participants of  any income  tax that  may be  payable on the
dividends or capital  gains distributions.  A participant  in the  Plan will  be
treated  for federal  income tax  purposes as  having received,  on the dividend
payment date, a dividend or distribution in an amount equal to the cash that the
participant could have received instead of shares of Common Stock.
 
    A shareholder  may  terminate participation  in  the  Plan at  any  time  by
notifying TSSG in writing. A termination will be effective immediately if notice
is  received by TSSG not  less than 10 days  before any dividend or distribution
record date. Otherwise, the termination will be effective, and only with respect
to any subsequent dividends or distributions, on the first trading day after the
dividend or  distribution has  been  credited to  the participant's  account  in
additional  shares of Common Stock of the  Fund. Upon termination according to a
participant's instructions,  TSSG will  either (a)  issue certificates  for  the
whole  shares credited to a Plan account and a check representing any fractional
shares or (b) sell the shares in the market. There will be a $5.00 fee  assessed
for  liquidation service, plus brokerage commissions,  and TSSG is authorized to
sell a sufficient number of a participant's shares to cover such amounts.
 
    The Plan is described in more detail on pages 21-23 of the Fund's Prospectus
dated August 23, 1993. Information concerning the Plan may be obtained from TSSG
at (800) 331-1710.
 
                                       25
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                                 Tax Information
 
                                  Fiscal Year Ended October 31, 1994 (unaudited)
[LOGO]
 
- ------------
 
    During the fiscal  year ended October  31, 1994, the  Fund paid $389,249  of
long-term capital gains to its shareholders.
 
    Of  the dividends paid from net investment income for the year ended October
31, 1994, 100% is tax exempt for regular Federal income tax purposes.
 
                                       26
<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
 
Lawrence T. McDermott
VICE PRESIDENT AND
INVESTMENT OFFICER
 
Karen Mahoney-Malcolmson
INVESTMENT OFFICER
 
Michael J. Maher
INVESTMENT OFFICER
 
Lewis E. Daidone
SENIOR VICE PRESIDENT
AND TREASURER
 
Christina T. Sydor
SECRETARY
 
INVESTMENT ADVISER
 
Greenwich Street Advisors
388 Greenwich Street
New York, New York 10013
 
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
 
                                       27
<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.
                              388 Greenwich Street
                               New York, NY 10013
                                 (212) 723-9218



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