UNITED MUNICIPAL HIGH INCOME FUND INC
N-30D, 1994-11-29
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                    United
                    Municipal
                    High Income
                    Fund, Inc.

                    ANNUAL
                    REPORT
                    --------------------------------------------
                    For the fiscal year ended September 30, 1994


<PAGE>
FUND MANAGER'S LETTER
- -----------------------------------------------------------------
SEPTEMBER 30, 1994

Dear Shareholder:

     This report relates to the operation of your Fund for the fiscal year ended
September 30, 1994.  The following discussion, graphs and tables provide you
with information regarding the Fund's performance during that period.

     The past fiscal year was noteworthy for the upward movement of interest
rates.  The Federal Reserve increased rates several times to preempt the
inflationary tendencies that might result from a strengthening economy.  For the
year, inflation remained low relative to historic levels.  The increases in
interest rates caused the bond markets to fall, while slowing economic growth
somewhat relative to what might have occurred otherwise.

     This past year the Fund emphasized bonds with comparatively higher yields
and shorter maturities because bonds with those characteristics generally
perform relatively well in a rising interest rate environment.  Concentration on
bonds of this nature better allowed the Fund to preserve share value.

     The strategies and techniques we applied resulted in the direction of the
Fund's performance remaining fairly consistent with that of the indexes charted
on the following page.  Those indexes reflect the performance of securities that
generally represent the municipal bond market (the Lehman Brothers Municipal
Bond Index) and the universe of funds with similar investment objectives (the
Lipper High Yield Municipal Bond Fund Universe Average).  During the past fiscal
year the Fund performed better than these indexes as a result of the Fund's
strategy of investing heavily in bonds with comparatively higher coupons and
shorter maturities.

     We expect the economy to continue growing, and we believe the Federal
Reserve will increase interest rates further if the pace of economic growth
strengthens.  In that event, we expect short-term interest rates would increase
by a significantly greater amount than long-term rates, which are already
unusually high relative to the current rate of inflation.  When it becomes
clearer that economic growth has slowed and the Federal Reserve has no further
intention of raising interest rates, we intend to lengthen maturities to
increase yields and improve the potential for appreciation.  We believe that
even at current levels municipal bond yields are very attractive for long-term
investors.

     Thank you for your continued confidence.

Respectfully,
John M. Holliday
Manager, United Municipal High Income Fund


<PAGE>
             COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT IN
                    UNITED MUNICIPAL HIGH INCOME FUND, INC.,
                   THE LEHMAN BROTHERS MUNICIPAL BOND INDEX,
         AND THE LIPPER HIGH YIELD MUNICIPAL BOND FUND UNIVERSE AVERAGE


The line graph which appears here is the paper version which was filed on Form
SE on November 23, 1994.


<PAGE>
SHAREHOLDER SUMMARY
- --------------------------------------------------------------
United Municipal High Income Fund, Inc.

PORTFOLIO STRATEGY:
Ordinarily, at least 75%   OBJECTIVE:   High level of income
medium and lower rated                  which is generally not
Municipal Bonds                         subject to Federal income tax.  (Income
                                        may be
Generally less than 20%                 subject to state and
Taxable Debt Securities                 local taxes.  A portion may be subject
                                        to Federal
No more than 25% in                     taxes, including
industrial revenue                      alternative minimum tax.)
bonds of any one industry
                            STRATEGY:   Invests primarily in tax-exempt bonds of
                                        the medium- and lower-rated categories
                                        as classified by recognized rating
                                        agencies.

                             FOUNDED:   1986

                           DIVIDENDS:   PAID MONTHLY


<PAGE>
PERFORMANCE SUMMARY

          PER SHARE DATA
For the Fiscal Year Ended September 30, 1994
- --------------------------------------------
DIVIDENDS PAID                 $0.34
                               =====
CAPITAL GAINS DISTRIBUTION     $0.07
                               =====

NET ASSET VALUE ON
   9/30/94  $5.12 adjusted to: $5.19(A)
   9/30/93                      5.53
                               -----
CHANGE PER SHARE              ($0.34)
                               =====

(A)  This number includes the capital gains distribution of $0.07 paid in
     December 1993 added to the actual net asset value on September 30, 1994.

Past performance is not necessarily indicative of future results.

                              TOTAL RETURN HISTORY

                                            Average Annual Total Return
                                            ---------------------------
                                                With         Without
Period                                      Sales Load**  Sales Load***
- ------                                      ------------  -------------
1-year period ended 9-30-94                     -4.21%          0.05%
5-year period ended 9-30-94                      7.57%          8.50%
Period from 1-21-86*
  through 9-30-94                                8.06%          8.60%

Initial public offering of the Fund.

Performance data quoted represents past performance and is based on deduction of
4.25% sales load on the initial purchase in each of the three periods.

Performance data quoted in this column represents past performance without
taking into account the sales load deducted on an initial purchase.

Investment return and principal value will fluctuate and an investor's shares,
when redeemed, may be worth more or less than their original cost.


<PAGE>
PORTFOLIO HIGHLIGHTS

On September 30, 1994, United Municipal High Income Fund, Inc. had net assets
totaling $345,161,856 invested in a diversified portfolio.

As a shareholder in United Municipal High Income Fund, Inc., for every $100 you
had invested on September 30, 1994, your Fund owned:

 $19.29  Other Municipal Bonds
  18.57  Life Care/Nursing Center Revenue Bonds
  15.62  Hospital Revenue Bonds
  10.01  Industrial Development Revenue Bonds
   7.98  Airport Revenue Bonds
   5.51  Water and Sewer Revenue Bonds
   5.08  Cash and Cash Equivalents
   3.94  Housing Revenue Bonds
   3.85  Resource Recovery Bonds
   3.69  Lease/Certificates of Participation Bonds
   3.39  General Obligation Bonds
   3.07  Electric Utility Revenue Bonds









                    1994 TAX YEAR TAXABLE EQUIVALENT YIELDS*
- --------------------------------------------------------------------------------
If your Taxable Income is:
                            Your
                          Marginal             Equivalent Tax Free Yields
   Joint           Single   Tax             -------------------------------
   Return          ReturnBracket Is             6%     7%      8%     9%
- ---------------------------------------------------------------------------
$      0- 38,000$      0- 22,750      15%     7.06    8.24   9.41     10.59

$ 38,001- 91,850$ 22,751- 55,100      28%     8.33    9.72  11.11     12.50

$ 91,851-140,000$ 55,101-115,000      31%     8.70   10.14  11.59     13.04

$140,001-250,000$115,001-250,000      36%     9.38   10.94  12.50     14.06

$250,001 and above$250,001 and above  39.6%   9.93   11.59  13.25     14.90

Above table is for illustration only and does not represent the actual
performance of United Municipal High Income Fund, Inc.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS
ALABAMA - 1.49%
 The Medical Clinic Board of the City of
   Birmingham-North, Revenue Bonds, Series
   1991-A (Carraway Methodist Hospitals Project),
   7.5%, 7-1-2015 ........................    $2,000 $  2,050,000
 The Colbert County-Northwest Alabama Health
   Care Authority, Hospital Revenue Bonds,
   Helen Keller Hospital, Series 1990,
   8.75%, 6-1-2009 .......................     1,000    1,093,750
 The Medical Clinic Board of the City of Ozark,
   Alabama, First Mortgage Revenue Bonds (United
   States Health & Housing Foundation, Inc.
   Project), Series 1988-A,
   10.0%, 10-1-2015 ......................     1,000    1,045,000
 The Marshall County Health Care Authority,
   Hospital Revenue Refunding Bonds,
   Series 1992 (Guntersville-Arab
   Medical Center),
   7.0%, 10-1-2013 .......................     1,000      970,000
   Total .................................              5,158,750

ALASKA - 0.98%
 Alaska Industrial Development and Export
   Authority, Refunding Revenue Bonds, Series
   1989 (American President Lines Project),
   8.0%, 11-1-2009 .......................     1,820    1,901,900
 Anchorage Parking Authority, Lease Revenue
   Refunding Bonds, Series 1993 (5th Avenue
   Garage Project),
   6.75%, 12-1-2008 ......................     1,500    1,490,625
   Total .................................              3,392,525

ARIZONA - 0.46%
 The Industrial Development Authorities of
   the City of Tucson, Arizona, and the
   County of Pima, Subordinated Mortgage
   Revenue Bonds, Series 1983B,
   0.0%, 12-1-2016 .......................     7,215    1,605,338

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
ARKANSAS - 1.01%
 Baxter County, Arkansas, Industrial
   Development Revenue Refunding Bonds
   (Aeroquip Corporation Project),
   Series 1993,
   5.8%, 10-1-2013 .......................    $2,000 $  1,797,500
 The Fayetteville Public Facilities Board,
   Refunding and Improvement Revenue Bonds,
   Series 1989A (Butterfield Trail Village
   Project),
   9.5%, 9-1-2014 ........................     1,600    1,694,000
   Total .................................              3,491,500

CALIFORNIA - 3.17%
 San Joaquin Hills Transportation Corridor
   Agency (Orange County, California):
   Junior Lien Toll Road Revenue Bonds,
   0.0%, 1-1-2002 ........................     2,755    1,687,438
   Senior Lien Toll Road Revenue Bonds,
   0.0%, 1-1-2011 ........................     2,500    1,496,875
 Huntington Beach Public Financing Authority
   (Orange County, California), 1992 Revenue
   Bonds (Huntington Beach Redevelopment
   Projects),
   7.0%, 8-1-2024 ........................     3,000    2,921,250
 Certificates of Participation (1991 Capital
   Improvement Project), Bella Vista Water
   District (California),
   7.375%, 10-1-2017 .....................     1,500    1,561,875
 Carson Redevelopment Agency (California),
   Redevelopment Project Area No. 2,
   Refunding Tax Allocation Bonds,
   Series 1993,
   6.0%, 10-1-2016 .......................     1,500    1,338,750
 Central Valley Financing Authority,
   Cogeneration Project Revenue Bonds
   (Carson Ice-Gen Project), 1993 Series,
   6.1%, 7-1-2013 ........................     1,000      921,250
 Inglewood Public Financing Authority,
   1992 Revenue Bonds, Series C (In-Town,
   Manchester-Prairie and North Inglewood
   Industrial Park Redevelopment Projects-
   Housing Set-Aside Loans),
   7.0%, 5-1-2022 ........................       900      905,625

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
CALIFORNIA (Continued)
 Madera-Chowchilla Power Authority, California,
   Floating Rate Bond,
   3.3%, 9-1-2009 ........................    $   95 $     95,000
   Total .................................             10,928,063

COLORADO - 8.38%
 City and County of Denver, Colorado,
   Airport System Revenue Bonds:
   Series 1991A,
   8.75%, 11-15-2023 .....................     6,000    6,330,000
   Series 1994A,
   7.5%, 11-15-2023 ......................     3,000    2,868,750
 Colorado Health Facilities Authority:
   Hospital Revenue Bonds (PSL Healthcare
   System Project), Series 1991B,
   8.5%, 2-15-2021 .......................     3,000    3,255,000
   Retirement Housing Revenue Bonds (Liberty
   Heights Project), 1990 Series A Term Bonds,
   10.0%, 7-1-2019 (A) ...................     1,500      975,000
 City and County of Denver, Colorado,
   Revenue Bonds (Jewish Community Centers
   of Denver Project), Series 1994:
   8.25%, 3-1-2024 .......................     2,390    2,357,138
   7.875%, 3-1-2019 ......................       815      803,794
 City of Colorado Springs, Colorado,
   Airport System Revenue Bonds, Series 1992A,
   7.0%, 1-1-2022 ........................     2,200    2,208,250
 City of Central, Gilpin County, Colorado:
   General Obligation Water Bonds,
   Series 1992,
   7.5%, 12-1-2012 .......................     1,500    1,496,250
   Water Revenue Bonds, Series 1991,
   8.625%, 9-15-2011 .....................       500      521,250
 Brush Creek Village Water District, Pitkin
   County, Colorado, General Obligation
   Water Bonds, Series 1990,
   8.875%, 11-15-2009 ....................     1,500    1,796,250
 Pitkin County, Colorado, Lease Purchase
   Agreement, Certificates of Participation
   (County Administration Building Project),
   Series 1991,
   7.4%, 10-1-2011 .......................     1,500    1,569,375
 Mountain Village Metropolitan District, San
   Miguel County, Colorado, General
   Obligation Refunding Bonds, Series 1992,
   8.1%, 12-1-2011 .......................     1,435    1,553,388

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
COLORADO (Continued)
 Columbia Metropolitan District, Arapahoe
   County, Colorado, General Obligation Bonds,
   Series 1986,
   9.5%, 12-1-2005 .......................    $1,165 $  1,181,019
 School District No. 20, El Paso County,
   Colorado, General Obligation Refunding
   Bonds, Series 1993A, Capital
   Appreciation Bonds,
   0.0%, 6-15-2008 .......................     2,600    1,020,500
 Arapahoe Water and Sanitation District,
   Arapahoe County, Colorado, General
   Obligation Refunding Bonds, Series 1988B,
   9.25%, 12-1-2013 ......................     1,000    1,001,250
   Total .................................             28,937,214

CONNECTICUT - 1.71%
 Connecticut Development Authority, First
   Mortgage Gross Revenue Health Care
   Project Bonds, Church Homes, Inc.:
   Congregational Avery Heights Project -
   1990 Series,
   9.0%, 4-1-2020 ........................     2,500    2,687,500
   Congregational Avery Nursing Facilities
   Project - 1991 Series,
   8.5%, 4-1-2021 ........................     1,490    1,549,600
 Eastern Connecticut Resource Recovery
   Authority, Wheelabrator Technologies, Inc.,
   5.5%, 1-1-2014 ........................     2,000    1,665,000
   Total .................................              5,902,100

DISTRICT OF COLUMBIA - 1.48%
 Certificates of Participation, Series 1993,
   District of Columbia,
   7.3%, 1-1-2013 ........................     3,000    3,030,000
 District of Columbia Revenue Bonds
   (National Public Radio Issue),
   Series 1992,
   7.625%, 1-1-2013 ......................     2,000    2,067,500
   Total .................................              5,097,500

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
FLORIDA - 2.12%
 Lake County, Florida, Resource Recovery
   Industrial Development Refunding Revenue
   Bonds (NRG/Recovery Group Project),
   Series 1993A,
   5.95%, 10-1-2013 ......................    $2,500 $  2,215,625
 Highlands County (Florida), Industrial
   Development Authority, Industrial
   Development Revenue Refunding Bonds
   (Beverly Enterprises - Florida, Inc.
   Project), Series 1991,
   9.25%, 7-1-2007 .......................     1,490    1,642,725
 City of Fort Walton Beach, First Mortgage
   Industrial Development Revenue Bonds,
   Series 1986 (Ft. Walton Beach Ventures,
   Inc. Project),
   10.5%, 12-1-2016 ......................     1,350    1,404,000
 City of Winter Garden, Florida, Industrial
   Development Revenue Refunding Bonds
   (Beverly Enterprises-Florida, Inc. Project),
   Series 1991,
   8.75%, 7-1-2012 .......................     1,000    1,082,500
 The Lee County (Florida) Industrial
   Development Authority, Economic Development
   Revenue Refunding Bonds (Encore Nursing
   Center Partners, Ltd.-85 Project),
   Series 1992,
   8.125%, 12-1-2007 .....................       950      982,063
   Total .................................              7,326,913

GEORGIA - 1.35%
 Hospital Authority of Savannah, Revenue
   Refunding and Improvement Bonds
   (Candler Hospital), Series 1992,
   7.0%, 1-1-2011 ........................     3,180    3,136,275
 City of Atlanta, Special Purpose Facilities
   Revenue Bonds, Series 1989B (Delta Air
   Lines, Inc. Project),
   7.9%, 12-1-2018 .......................     1,500    1,518,750
   Total .................................              4,655,025

GUAM - 0.86%
 Guam Airport Authority, General Revenue
   Bonds, 1993 Series B,
   6.6%, 10-1-2010 .......................     3,000    2,966,250

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
IDAHO - 0.59%
 Idaho Health Facilities Authority, Hospital
   Revenue Refunding Bonds, Series 1992
   (IHC Hospitals, Inc.), Indexed Inverse
   Floating Rate Securities,
   8.21%, 2-15-2021 ......................    $2,000 $  2,035,000

ILLINOIS - 4.81%
 City of Hillsboro, Montgomery County,
   Illinois, General Obligation Bonds
   (Alternate Revenue Source), Series 1991,
   7.5%, 12-1-2021 .......................     2,640    2,735,700
 Illinois Health Facilities Authority,
   Revenue Bonds, Series 1992A
   (Fairview Obligated Group Project),
   8.75%, 10-1-2002 ......................     2,500    2,590,625
 Illinois Development Finance Authority
   Revenue Bonds, Series 1993C (Catholic
   Charities Housing Development
   Corporation Project),
   6.1%, 1-1-2020 ........................     2,500    2,253,125
 Village of Hanover Park, Cook and DuPage
   Counties, Illinois, First Mortgage
   Revenue Bonds, Series 1989 (Windsor
   Park Manor Project),
   9.5%, 12-1-2014 .......................     2,000    2,062,500
 Village of Lansing, Illinois, Landings
   Redevelopment Project Area, Tax Increment
   Refunding Revenue Bonds (Limited Sales
   Tax Pledge), Series 1992,
   7.0%, 12-1-2008 .......................     2,000    1,950,000
 City of Blue Island, Cook County, Illinois,
   Golf Course Revenue Bonds (Utility Tax
   Pledge), Series 1992,
   7.375%, 5-1-2014 ......................     2,000    1,920,000
 Village of Bourbonnais, Kankakee County,
   Illinois, Sewerage Revenue Bonds,
   Series 1993,
   7.25%, 12-1-2012 ......................     1,085    1,079,575
 City of Loves Park, Illinois, First Mortgage
   Revenue Bonds, Series 1989A (Hoosier Care,
   Inc. Project),
   9.75%, 8-1-2019 .......................     1,025    1,049,344

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
ILLINOIS (Continued)
 City of Eureka, Woodford County, Illinois,
   General Obligation Refunding Bonds
   (Alternate Revenue Source), Series 1993,
   6.25%, 7-1-2013 .......................    $1,000 $    948,750
   Total .................................             16,589,619

INDIANA - 2.67%
 Indiana Health Facility Financing Authority,
   Hospital Revenue Bonds, Series 1990
   (Hancock Memorial Hospital Project),
   8.3%, 8-15-2020 .......................     3,000    3,217,500
 City of East Chicago, Indiana,
   Pollution Control:
   Refunding Revenue Bonds, Inland
   Steel Company Project No. 10,
   Series 1993,
   6.8%, 6-1-2013 ........................     2,000    1,917,500
   Revenue Bonds, Inland Steel
   Company Project No. 5,
   Series 1977,
   5.75%, 2-1-2007 .......................     1,000      915,000
 City of Carmel, Indiana, Retirement Rental
   Housing Revenue Refunding Bonds (Beverly
   Enterprises - Indiana, Inc. Project),
   Series 1992,
   8.75%, 12-1-2008 ......................     1,500    1,627,500
 Indiana Health Facility Financing
   Authority, Hospital Revenue Bonds,
   Series 1992 (Fayette Memorial Hospital
   Project),
   7.2%, 10-1-2022 .......................     1,000      992,500
 Indiana Housing Finance Authority, Residential
   Mortgage Bonds, 1988 Series R-A,
   0.0%, 1-1-2013 ........................     2,525      542,875
   Total .................................              9,212,875

IOWA - 0.39%
 City of Ottumwa, Iowa, Hospital Facility
   Revenue Refunding and Improvement Bonds,
   Series 1993 (Ottumwa Regional Health
   Center, Incorporated),
   6.0%, 10-1-2018 .......................     1,550    1,334,938

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
KANSAS - 2.55%
 Kansas Development Finance Authority,
   Community Provider Loan Program (Community
   Living Opportunities, Inc.), Series
   1992A Revenue Bonds,
   8.875%, 9-1-2011 ......................    $2,790 $  2,929,500
 Baldwin City, Kansas, Educational Facilities
   Revenue Bonds (Baker University Project),
   Series 1988,
   9.5%, 10-1-2008 .......................     2,000    2,102,500
 City of Prairie Village, Kansas, Claridge
   Court Project Revenue Bonds, Series 1993A:
   8.5%, 8-15-2004 .......................     1,000      976,250
   8.75%, 8-15-2023 ......................     1,000      973,750
 Johnson County Park and Recreation District,
   Johnson County, Kansas, Park and Recreation
   Revenue Bonds, Series 1994A,
   6.5%, 1-1-2019 ........................     1,855    1,817,900
   Total .................................              8,799,900

KENTUCKY - 0.58%
 County of Jefferson, Kentucky, Health
   Facilities Revenue Refunding Bonds
   (Beverly Enterprises Project),
   Series 1985B,
   9.75%, 8-1-2007 .......................       900      999,000
 County of Perry, Kentucky, Solid Waste
   Disposal Revenue Bonds (TJ International
   Project), Series 1994,
   7.0%, 6-1-2024 ........................     1,000      975,000
   Total .................................              1,974,000

LOUISIANA - 2.74%
 Parish of St. Charles, State of Louisiana:
   Environmental Revenue Bonds (Louisiana
   Power & Light Company Project),
   Series 1994-A,
   6.875%, 7-1-2024 ......................     2,750    2,688,125
   Pollution Control Revenue Bonds
   (Union Carbide Project),
   Series 1992,
   7.35%, 11-1-2022 ......................     2,000    2,030,000
 Board of Commissioners of the Port of New
   Orleans, Industrial Development Revenue
   Refunding Bonds (Continental Grain Company
   Project), Series 1993,
   7.5%, 7-1-2013 ........................     2,000    1,962,500

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
LOUISIANA (Continued)
 Parish of West Feliciana, State of Louisiana,
   Pollution Control Revenue Bonds (Gulf
   States Utilities Company Project),
   Series 1984-II,
   7.7%, 12-1-2014 .......................    $1,500 $  1,573,125
 LaFourche Parish Home Mortgage Authority,
   Tax-Exempt Capital Appreciation Refunding
   Bonds, Series 1990-B, Class B-2,
   0.0%, 5-20-2014 .......................     3,300      709,500
 Parish of Pointe Coupee, Louisiana,
   Pollution Control Revenue Refunding Bonds
   (Gulf States Utilities Company Project),
   Series 1993,
   6.7%, 3-1-2013 ........................       500      490,625
   Total .................................              9,453,875

MARYLAND - 0.29%
 Baltimore County, Maryland, Pollution
   Control Revenue Refunding Bonds,
   Series 1994A (Bethlehem Steel
   Corporation Project),
   7.55%, 6-1-2017 .......................     1,000    1,015,000

MASSACHUSETTS - 2.43%
 Massachusetts Industrial Finance Agency:
   Resource Recovery Revenue Bonds (SEMASS
   Project), Series 1991B,
   9.25%, 7-1-2015 .......................     3,000    3,337,500
   First Mortgage Revenue Bonds, Reeds
   Landing Project, Series 1993,
   8.625%, 10-1-2023 .....................     3,000    2,880,000
   Revenue Bonds, Beaver Country Day School
   Issue, Series 1992, Subseries A,
   8.1%, 3-1-2008 ........................     1,665    1,640,025
   Industrial Development Revenue Refunding
   Bonds (Beverly Enterprises-Mass./Gloucester
   and Lexington Projects), Series 1992,
   8.375%, 5-1-2009 ......................       500      527,500
   Total .................................              8,385,025

MICHIGAN - 3.24%
 Pontiac Hospital Finance Authority,
   Hospital Revenue Bonds (NOMC Obligated
   Group), Series 1993,
   6.0%, 8-1-2023 ........................     3,000    2,493,750

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
MICHIGAN (Continued)
 Michigan State Hospital Finance Authority,
   Hospital Revenue Refunding Bonds
   (Crittenton Hospital), Series 1994A,
   5.25%, 3-1-2014 .......................    $3,000 $  2,460,000
 Portage Lake Water and Sewage Authority,
   Houghton County, Michigan, General
   Obligation Limited Tax Bonds:
   Series II,
   7.625%, 10-1-2020 .....................     1,000    1,062,500
   Series III,
   7.75%, 10-1-2020 ......................     1,000    1,040,000
 The Economic Development Corporation of
   the Charter Township of Waterford
   (Michigan), Limited Obligation Revenue
   Bonds, Series 1993 (Canterbury Health
   Care, Inc. Project),
   8.375%, 7-1-2023 ......................     2,000    2,075,000
 Michigan Strategic Fund, Limited Obligation
   Revenue Bonds:
   Knollwood Corporation Project, Series A,
   10.5%, 10-1-2016 (B) ..................     1,300    1,105,000
   Mercy Services for Aging Project,
   Series 1990,
   9.4%, 5-15-2020 .......................       900      957,375
   Total .................................             11,193,625

MINNESOTA - 1.31%
 City of St. Anthony, Minnesota, Housing
   Development Refunding Revenue Bonds
   (Autumn Woods Project), Series 1992,
   6.875%, 7-1-2022 ......................     2,500    2,481,250
 City of Mounds View, Minnesota, Gross
   Revenue Golf Course Bonds, Series 1994A,
   6.125%, 1-1-2014 ......................     1,250    1,146,875
 Housing and Redevelopment Authority of the
   City of Saint Paul, Minnesota, Nursing Home
   Development Revenue Bonds, Series 1988
   (St. Mary's Home Project),
   10.0%, 12-1-2018 ......................       880      905,300
   Total .................................              4,533,425

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
MISSISSIPPI - 0.95%
 Lowndes County, Mississippi, Solid Waste
   Disposal and Pollution Control Refunding
   Revenue Bonds (Weyerhaeuser Company
   Project), Series 1992B, Indexed Inverse
   Floating/Fixed Term Bonds,
   8.21%, 4-1-2022 .......................    $2,000 $  2,025,000
 Adams County, Mississippi, Hospital Revenue
   Bonds, Series 1991 (Jefferson Davis Memorial
   Hospital Project),
   8.0%, 10-1-2016 .......................     1,200    1,260,000
   Total .................................              3,285,000

MISSOURI - 7.00%
 State Environmental Improvement and Energy
   Resources Authority (State of Missouri),
   Water Facilities Revenue Bonds
   (Tri-County Water Authority Project),
   Series 1992,
   8.75%, 4-1-2022 .......................     3,000    3,273,750
 Bi-State Development Agency of the Missouri-
   Illinois Metropolitan District, Adjustable
   Rate Terminal Facilities, Revenue Refunding
   Bonds (American Commercial Terminals, Inc.
   Project), Series 1985,
   7.75%, 6-1-2010 .......................     3,000    3,210,000
 The Industrial Development Authority of the
   City of Hannibal, Missouri, Health
   Facilities Revenue Bonds (Hannibal
   Regional Healthcare System - Medical
   Center of Northeast Missouri Project),
   Series 1992,
   9.5%, 3-1-2022 ........................     2,500    2,890,625
 Regional Convention and Sports Complex
   Authority, Convention and Sports Facility
   Project Bonds, Series C 1991 (The City of
   St. Louis, Missouri, Sponsor):
   7.9%, 8-15-2021 .......................     1,500    1,571,250
   7.75%, 8-15-2001 ......................     1,100    1,142,625
 Citizens Memorial Hospital District of
   Polk County, Missouri, Hospital
   Refunding and Improvement Revenue Bonds:
   Series 1993,
   6.5%, 8-1-2012 ........................     1,500    1,365,000
   Series 1994,
   6.375%, 8-1-2007 ......................       750      713,438

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
MISSOURI (Continued)
 Cape Girardeau County, Missouri, Single
   Family Mortgage Revenue Bonds,
   Series 1993,
   0.0%, 12-1-2014 .......................    $7,500 $  1,912,500
 The City of Lake Saint Louis, Missouri,
   Public Facilities Authority, Certificates
   of Participation (Municipal Golf Course
   Project), Series 1993,
   7.55%, 12-1-2014 ......................     2,000    1,872,500
 The Industrial Development Authority of
   the City of St. Louis, Missouri,
   Industrial Revenue Refunding Bonds
   (Kiel Center Multipurpose Arena Project),
   Series 1992,
   7.75%, 12-1-2013 ......................     1,500    1,522,500
 The Industrial Development Authority
   of the City of Lee's Summit, Missouri,
   Health Facilities Refunding and
   Improvement Revenue Bonds (John Knox
   Village Project), Series 1992,
   7.125%, 8-15-2012 .....................     1,500    1,509,375
 The Industrial Development Authority of the
   City of Springfield, Missouri,
   Industrial Development Refunding Revenue
   Bonds (Health Care Realty of Springfield,
   Ltd. Project), Series 1988,
   10.25%, 12-1-2010 .....................     1,240    1,284,950
 East Central Missouri Water and Sewer
   Authority, St. Charles County, Missouri,
   Water System Refunding Revenue Bonds,
   Series 1992 (St. Charles County Public
   Water Supply District No. 2 Project),
   7.0%, 8-1-2011 ........................     1,000    1,000,000
 The Industrial Development Authority of
   Callaway County, Missouri, Industrial
   Development Revenue Bonds (A.P. Green
   Refractories Co. Project), Series 1984,
   8.6%, 11-1-2014 .......................       900      883,125
   Total .................................             24,151,638

MONTANA - 0.82%
 Montana Board of Investments, Resource Recovery
   Revenue Bonds, Series 1993 (Yellowstone Energy
   Limited Partnership Project),
   7.0%, 12-31-2019 ......................     3,000    2,827,500

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
NEVADA - 1.18%
 Clark County, Nevada,
   Industrial Development Revenue Bonds
   (Southwest Gas Corporation),
   1992 Series B,
   7.5%, 9-1-2032 ........................    $4,000 $  4,080,000

NEW HAMPSHIRE - 4.55%
 New Hampshire Higher Educational and Health
   Facilities Authority:
   Hospital Revenue Bonds, Catholic Medical
   Center Issue, Series 1989,
   8.25%, 7-1-2013 .......................     2,000    2,135,000
   First Mortgage Revenue Bonds, RiverWoods
   at Exeter Issue, Series 1993,
   9.0%, 3-1-2023 ........................     2,000    2,045,000
   First Mortgage Revenue Bonds, RiverMead
   at Peterborough Issue, Series 1994,
   8.5%, 7-1-2024 ........................     2,000    1,932,500
   Revenue Bonds, New Hampshire Catholic
   Charities Issue, Series 1991,
   8.4%, 8-1-2011 ........................     1,700    1,793,500
   Hospital Revenue Bonds, Monadnock
   Community Hospital Issue, Series 1990,
   9.125%, 10-1-2020 .....................     1,485    1,598,231
   Hospital Revenue Bonds, St. Joseph Hospital
   Issue, Series 1991,
   7.5%, 1-1-2016 ........................     1,000    1,035,000
 The Industrial Development Authority of the
   State of New Hampshire, Pollution Control
   Revenue Bonds, Public Service Company of
   New Hampshire Project:
   1991 Tax-Exempt Series A,
   7.65%, 5-1-2021 .......................     2,000    2,052,500
   1991 Tax-Exempt Series C,
   7.65%, 5-1-2021 .......................     2,000    2,052,500
 Lisbon Regional School District, New
   Hampshire, General Obligation Capital
   Appreciation School Bonds,
   0.0%, 2-1-2013 ........................     2,050    1,066,000
   Total .................................             15,710,231

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
NEW JERSEY - 2.19%
 New Jersey Economic Development Authority:
   First Mortgage Revenue Bonds
   (The Evergreens-Series 1992),
   9.25%, 10-1-2022 ......................    $2,000 $  2,017,500
   First Mortgage Revenue Fixed Rate Bonds
   (Franciscan Oaks Project-Series 1992A),
   8.5%, 10-1-2023 .......................     1,500    1,548,750
 Pollution Control Financing Authority of
   Camden County (Camden County, New Jersey),
   Solid Waste Disposal and Resource
   Recovery System Revenue Bonds,
   Series 1991B (AMT),
   7.5%, 12-1-2009 .......................     3,000    2,992,500
 New Jersey Housing Finance Agency,
   Multi-Family Mortgage Revenue Bonds,
   1976 Series A,
   8.25%, 11-1-2020 ......................     1,000    1,000,000
   Total .................................              7,558,750

NEW MEXICO - 1.17%
 New Mexico Educational Assistance
   Foundation, Student Loan Purchase Bonds,
   Second Subordinate 1994 Series II-C (AMJ),
   6.0%, 12-1-2008 .......................     3,000    2,748,750
 City of Albuquerque, New Mexico, Gross
   Receipts/Lodgers' Tax Refunding and
   Improvement Revenue Bonds, Series 1991B,
   0.0%, 7-1-2014 ........................     5,000    1,300,000
   Total .................................              4,048,750

NEW YORK - 1.72%
 The Port Authority of New York and New
   Jersey, Special Project, Series 2,
   Continental Airlines, Inc. and Eastern Air
   Lines, Inc. Project, LaGuardia Airport
   Passenger Terminal, Third Installment Bonds,
   9.125%, 12-1-2015 .....................     1,945    2,173,538
 New York State Energy Research and
   Development Authority, Solid Waste
   Disposal Revenue Bonds (New York State
   Electric & Gas Corporation Project),
   1993 Series A,
   5.7%, 12-1-2028 .......................     2,000    1,735,000

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
NEW YORK (Continued)
 New York City Industrial Development Agency,
   Civic Facility Revenue Bonds (YMCA of
   Greater New York Project),
   8.0%, 8-1-2016 ........................    $1,000 $  1,043,750
 Tompkins County Industrial Development
   Agency, Life Care Community Revenue Bonds,
   1994 (Kendal at Ithaca, Inc. Project),
   7.875%, 6-1-2024 ......................     1,000      980,000
   Total .................................              5,932,288

OHIO - 1.18%
 Hamilton County, Ohio, Health System Revenue
   Bonds, Providence Hospital Issue,
   Series 1992,
   6.875%, 7-1-2015 ......................     2,000    1,940,000
 County of Lorain, Ohio, First Mortgage
   Revenue Bonds, 1992 Series A (Kendal at
   Oberlin Project),
   8.625%, 2-1-2022 ......................     1,000    1,080,000
 City of Fairfield, Ohio, Economic
   Development Revenue Refunding Bonds
   (Beverly Enterprises-Ohio, Inc. Project),
   Series 1992,
   8.5%, 1-1-2003 ........................     1,000    1,058,750
   Total .................................              4,078,750

OKLAHOMA - 4.09%
 Oklahoma County Industrial Authority,
   Industrial Development Revenue Bonds:
   1986 Series B (Choctaw Nursing
   Center Project):
   10.25%, 9-1-2016 ......................     1,230    1,274,588
   10.125%, 9-1-2006 .....................       525      541,406
   1986 Series A (Westlake Nursing Center
   Project):
   10.25%, 9-1-2016 ......................       905      938,938
   10.125%, 9-1-2006 .....................       430      443,975
 The Clinton Public Works Authority,
   Refunding and Improvement Revenue
   Bonds, Series 1994,
   6.25%, 1-1-2019 .......................     2,575    2,314,281
 Trustees of the Tulsa Municipal Airport
   Trust, Adjustable Rate Revenue
   Obligations,
   7.375%, 12-1-2020 .....................     2,000    1,940,000

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
OKLAHOMA (Continued)
 Trustees of the Oklahoma Ordnance Works
   Authority, Industrial Development Revenue
   Refunding Bonds (A.P. Green Industries,
   Inc. Project), Series 1992,
   8.5%, 5-1-2008 ........................    $1,600 $  1,600,000
 Pawnee Public Works Authority (Pawnee,
   Oklahoma), Utility System Revenue Bonds,
   Series 1993,
   6.5%, 12-1-2018 .......................     1,610    1,485,225
 The Guthrie Public Works Authority
   (Guthrie, Oklahoma), Utility System
   Revenue Bonds, Series 1994A,
   6.75%, 9-1-2019 .......................     1,415    1,369,013
 Cushing Municipal Authority (Cushing,
   Oklahoma), Utility System Revenue Bonds,
   Series 1993,
   6.0%, 7-1-2016 ........................     1,345    1,244,125
 Oklahoma City Public Property Authority
   (Oklahoma City, Oklahoma), Revenue Bonds,
   Series 1991 (Oklahoma City Golf System),
   8.0%, 10-1-2013 .......................     1,000      966,250
   Total .................................             14,117,801

OREGON - 1.00%
 Klamath Falls Intercommunity Hospital
   Authority, Gross Revenue Bonds,
   Series 1994 (Merle West Medical Center
   Project),
   7.1%, 9-1-2024 ........................     3,500    3,434,375

PENNSYLVANIA - 6.71%
 Delaware County Authority (Pennsylvania):
   First Mortgage Revenue Bonds, Series 1992
   (Riddle Village Project):
   8.0%, 6-1-99 ..........................     1,500    1,522,500
   9.25%, 6-1-2022 .......................     1,000    1,073,750
   Health Facilities Revenue Bonds, Series
   1993B (Mercy Health Corporation of
   Southeastern Pennsylvania Obligated Group),
   6.0%, 11-15-2007 ......................     2,750    2,512,813

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
PENNSYLVANIA (Continued)
 Luzerne County Industrial Development
   Authority:
   Exempt Facilities Revenue Refunding Bonds,
   1992 Series A (Pennsylvania Gas and
   Water Company Project),
   7.2%, 10-1-2017 .......................    $2,000 $  1,995,000
   Exempt Facilities Revenue Bonds, 1992
   Series B (Pennsylvania Gas and Water
   Company Project),
   7.125%, 12-1-2022 .....................     1,000      988,750
 Allegheny County Industrial Development
   Authority (Pennsylvania), Environmental
   Improvement Revenue Bonds (USX Corporation
   Project), Refunding Series A 1994,
   6.7%, 12-1-2000 .......................     3,000    2,891,250
 Pennsylvania Economic Development Financing
   Authority, Rescue Recovery Revenue Bonds
   (Colver Project), Series 1994 D,
   7.125%, 12-1-2015 .....................     2,500    2,462,500
 McKeesport Hospital Authority (Commonwealth
   of Pennsylvania), Hospital Revenue Bonds,
   Series of 1993 (McKeesport Hospital Project),
   6.5%, 7-1-2008 ........................     2,500    2,409,375
 The Hospitals and Higher Education Facilities
   Authority of Philadelphia, Hospital Revenue
   Bonds, Series of 1993 (Temple University
   Hospital),
   6.5%, 11-15-2008 ......................     2,335    2,250,356
 South Wayne County Water and Sewer Authority
   (Wayne County, Pennsylvania), Sewer Revenue
   Bonds, Series of 1992,
   8.2%, 4-15-2013 .......................     1,925    1,888,906
 Clarion County Industrial Development Authority
   (Pennsylvania), Health Facilities Revenue
   Refunding Bonds (Beverly Enterprises
   Project), Series 1985,
   10.125%, 5-1-2007 .....................       900    1,009,125
 Erie, Pennsylvania Sewer Authority,
   Sewer Revenue Bonds,
   6.0%, 6-1-2011 ........................     1,000      921,250
 The Hospitals Authority of Philadelphia,
   Hospital Revenue Bonds, Series of 1979
   (James C. Giuffre Medical Center),
   8.25%, 7-1-2009 (A) ...................     1,415      636,750

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
PENNSYLVANIA (Continued)
 Wilkins Area Industrial Development Authority
   (Pennsylvania), First Mortgage Revenue
   Bonds (Longwood at Oakmont, Inc. Continuing
   Care Retirement Community Project),
   Series 1991A,
   10.0%, 1-1-2021 .......................    $  525 $    589,313
   Total .................................             23,151,638

RHODE ISLAND - 1.40%
 Providence Public Buildings Authority
   (Veazie Street School and Modular Classrooms
   Projects), Revenue Bonds, Series 1991:
   7.3%, 12-1-2010 .......................     1,000    1,041,250
   7.3%, 12-1-2011 .......................     1,000    1,037,500
 Pawtucket Public Buildings Authority (Water
   System Project), Revenue Bonds, Series 1991:
   7.6%, 7-1-2010 ........................       840      898,800
   7.6%, 7-1-2009 ........................       785      839,950
 Rhode Island Health and Educational Building
   Corporation, Hospital Financing Revenue Bonds,
   South County Hospital Issue - Series 1991,
   7.25%, 11-1-2011 ......................     1,000    1,018,750
   Total .................................              4,836,250

SOUTH CAROLINA - 2.95%
 Charleston County, South Carolina, Industrial
   Refunding Revenue Bonds, 1982 Series (Massey
   Coal Terminal, South Carolina Corporate Project),
   Adjustable Convertible Extendible Securities,
   3.95%, 1-1-2007 .......................     3,000    3,000,000
 South Carolina State Housing, Finance
   and Development Authority, Multifamily
   Housing Mortgage Revenue Bonds (United
   Dominion-Plum Chase), Series 1991,
   8.5%, 10-1-2021 .......................     2,000    2,192,500
 McCormick County, South Carolina, Hospital
   Facilities Revenue Bonds, Series 1988
   (McCormick Health Care Center Project),
   10.5%, 3-1-2018 .......................     1,485    1,516,556
 South Carolina Jobs-Economic Development Authority,
   Economic Development Revenue Bonds (Carolinas
   Hospital System Project), Series 1992,
   7.0%, 9-1-2014 ........................     1,500    1,460,625

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
SOUTH CAROLINA (Continued)
 County of Chester, South Carolina, Industrial
   Development Refunding Revenue Bonds (Springs
   Industries, Inc. Project), Series 1992,
   7.35%, 2-1-2014 .......................    $1,000 $  1,047,500
 Horry County, South Carolina, Hospital
   Revenue Refunding Bonds, Series 1992
   (Conway Hospital, Inc.),
   6.75%, 7-1-2012 .......................     1,000      966,250
   Total .................................             10,183,431

SOUTH DAKOTA - 0.54%
 South Dakota Health and Educational
   Facilities Authority, Refunding Revenue
   Bonds (Westhills Village Retirement
   Community Issue), Series 1993,
   7.25%, 9-1-2013 .......................     2,000    1,870,000

TENNESSEE - 3.10%
 Memphis-Shelby County Airport Authority,
   Special Facilities Revenue Bonds,
   Series 1993 (Federal Express Corporation),
   6.2%, 7-1-2014 ........................     3,000    2,752,500
 The Industrial Development Board of the
   Metropolitan Government of Nashville and
   Davidson County:
   Multi-Family Housing Revenue Bonds
   (River Retreat II, Ltd. Project),
   Series 1986,
   9.5%, 5-1-2017 ........................     1,500    1,498,125
   Industrial Development Revenue Bonds, Series
   1986 (Shoney's Inn of Opryland Project),
   10.0%, 12-1-2016 ......................     1,100    1,119,250
 The Industrial Development Board of the
   County of McMinn, Solid Waste Recycling
   Facilities Revenue Bonds, Series 1992
   (Calhoun Newsprint Company Project -
   Bowater Incorporated Obligor),
   7.4%, 12-1-2022 .......................     2,000    2,070,000
 The Health and Educational Facilities
   Board of the City of Crossville, Tennessee,
   Hospital Revenue Improvement Bonds,
   Series 1992 (Cumberland Medical Center),
   6.75%, 11-1-2012 ......................     2,000    1,942,500

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
TENNESSEE (Continued)
 The Health and Educational Facilities Board
   of the Metropolitan Government of
   Nashville and Davidson County, Tennessee,
   First Mortgage Revenue Bonds (Metropolitan
   Nashville Teachers' Nursing Facility,
   Inc. Project), Series 1989,
   10.25%, 10-1-2019 (A) .................    $1,585 $  1,307,625
   Total .................................             10,690,000

TEXAS - 4.43%
 Alliance Airport Authority, Inc., Special
   Facilities Revenue Bonds, Series 1991
   (American Airlines, Inc. Project),
   7.0%, 12-1-2011 .......................     4,500    4,297,500
 Retama Development Corporation, Special
   Facilities Revenue Bonds (Retama Park
   Racetrack Project), Series 1993,
   8.75%, 12-15-2018 .....................     3,500    3,456,250
 Dallas-Fort Worth International Airport
   Facility Improvement Corporation, American
   Airlines, Inc. Revenue Bonds, Series 1990,
   7.5%, 11-1-2025 .......................     2,000    1,957,500
 Dallas County Utility and Reclamation
   District, Unlimited Ad Valorem Tax
   Refunding Bonds, Series 1993,
   0.0%, 2-15-2016 .......................     7,915    1,889,706
 Dallas-Fort Worth International Airport,
   Facility Improvement Corporation, Delta
   Air Lines, Inc. Revenue Bonds, Series 1994,
   7.6%, 11-1-2011........................     1,300    1,300,000
 Texas Health Facilities Development
   Corporation, Hospital Revenue Bonds (All
   Saints Episcopal Hospitals of Fort Worth
   Project), Series 1989A,
   6.25%, 8-15-2010 ......................     1,350    1,260,563
 Housing Authority of the City of Odessa,
   Texas, Multifamily Mortgage Revenue Bonds,
   Series 1993A (Section 8 Assisted Project),
   6.375%, 10-1-2010 .....................     1,225    1,127,000
   Total .................................             15,288,519

UTAH - 1.25%
 Carbon County, Utah, Solid Waste Disposal
   Refunding Revenue Bonds, Series 1991
   (Sunnyside Cogeneration Associates Project),
   9.25%, 7-1-2018 .......................     2,500    2,615,625

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
UTAH (Continued)
 Brigham City, Box Elder County, Utah,
   Special Assessment Bonds, Series 1990
   (Brigham City, Utah, Special Improvement
   District No. 22),
   9.25%, 8-1-2010 .......................    $1,690 $  1,706,900
   Total .................................              4,322,525

VERMONT - 0.73%
 Vermont Industrial Development Authority,
   Mortgage Revenue Bonds, Wake Robin
   Corporation Project, Series 1993A,
   8.75%, 3-1-2023 .......................     2,500    2,518,750

VIRGIN ISLANDS - 0.41%
 Virgin Islands Public Finance Authority,
   Revenue Refunding Bonds (Virgin Islands
   General Obligation/Matching Fund Loan
   Notes), Series 1992 A,
   7.25%, 10-1-2018 ......................     1,400    1,431,500

VIRGINIA - 1.37%
 Industrial Development Authority of the
   County of Prince William (Virginia),
   Residential Care Facility First Mortgage
   Revenue Bonds (Westminster at Lake Ridge),
   Series 1992A,
   10.0%, 1-1-2022 .......................     2,500    2,681,250
 Virginia Housing Development Authority,
   Commonwealth Mortgage Bonds:
   1988 Series C, Subseries C-2,
   8.0%, 1-1-2038 ........................     1,000    1,025,000
   1988 Series B, Subseries B-5,
   7.8%, 7-1-2008 ........................     1,000    1,020,000
   Total .................................              4,726,250

WASHINGTON - 0.26%
 Stevens County Public Corporation, Pollution
   Control Revenue Refunding Bonds (The
   Washington Water Power Company Kettle
   Falls Project), Series 1993,
   6.0%, 12-1-2023 .......................     1,000      892,500

                See Notes to Schedule of Investments on page 24.


<PAGE>
THE INVESTMENTS OF
UNITED MUNICIPAL HIGH INCOME FUND, INC.
SEPTEMBER 30, 1994

                                           Principal
                                           Amount in
                                           Thousands        Value

MUNICIPAL BONDS (Continued)
WEST VIRGINIA - 0.60%
 West Virginia Hospital Finance Authority,
   State of West Virginia, Hospital Revenue
   Refunding Bonds, Series of 1986 (Logan
   General Hospital Project),
   8.75%, 4-1-2013 .......................    $2,000 $  2,067,500

WYOMING - 0.71%
 Sweetwater County, Wyoming, Solid Waste
   Disposal Revenue Bonds (FMC Corporation
   Project), Series 1994B,
   6.9%, 9-1-2024 ........................     2,500    2,453,125

TOTAL MUNICIPAL BONDS - 94.92%                       $327,645,531
 (Cost: $327,129,369)

TOTAL SHORT-TERM SECURITIES - 4.35%                  $ 14,998,560
 (Cost: $14,998,560)

TOTAL INVESTMENT SECURITIES - 99.27%                 $342,644,091
 (Cost: $342,127,929)

CASH AND OTHER ASSETS, NET OF LIABILITIES - 0.73%       2,517,765

NET ASSETS - 100.00%                                 $345,161,856


Notes to Schedule of Investments

(A)  Non-income producing as the issuer has either missed its most recent
     interest payment or declared bankruptcy.

(B)  Security is paying partial interest.

See Note 1 to financial statements for security valuation and other significant
     accounting policies concerning investments.

See Note 3 to financial statements for cost and unrealized appreciation and
     depreciation of investments owned for Federal income tax purposes.


<PAGE>
UNITED MUNICIPAL HIGH INCOME FUND, INC.
STATEMENT OF ASSETS AND LIABILITIES
SEPTEMBER 30, 1994

Assets
 Investment securities - at value
   (Notes 1 and 3) ................................. $342,644,091
 Cash  .............................................       10,125
 Receivables:
   Interest ........................................    6,878,454
   Investment securities sold ......................    4,079,125
   Fund shares sold ................................      866,787
 Prepaid insurance premium  ........................       13,612
                                                     ------------
    Total assets  ..................................  354,492,194
                                                     ------------
Liabilities
 Payable for investment securities purchased  ......    8,069,296
 Payable for Fund shares redeemed  .................      967,321
 Dividends payable  ................................      186,875
 Accrued service fee  ..............................       66,289
 Accrued transfer agency and dividend disbursing  ..       22,685
 Accrued accounting services fee  ..................        4,167
 Other  ............................................       13,705
                                                     ------------
    Total liabilities  .............................    9,330,338
                                                     ------------
      Total net assets ............................. $345,161,856
                                                     ============
Net Assets
 $1.00 par value capital stock, authorized --
   100,000,000; shares outstanding -- 67,365,646
   Capital stock ................................... $ 67,365,646
   Additional paid-in capital ......................  275,905,442
 Accumulated undistributed gain:
   Accumulated undistributed net realized
    gain on investment transactions  ...............    1,374,606
   Net unrealized appreciation in value of
    investments at end of period  ..................      516,162
                                                     ------------
    Net assets applicable to outstanding
      units of capital ............................. $345,161,856
                                                     ============
Net asset value per share (net assets divided
 by shares outstanding)  ...........................        $5.12
Sales load (offering price x 4.25%).................          .23
                                                            -----
Offering price (net asset value divided by 95.75%)..        $5.35
                                                            =====

   On sales of $100,000 or more the sales load is reduced as set forth in the
                                  Prospectus.

                       See notes to financial statements.


<PAGE>
UNITED MUNICIPAL HIGH INCOME FUND, INC.
STATEMENT OF OPERATIONS
For the Fiscal Year Ended SEPTEMBER 30, 1994


Investment Income
 Interest (taxable portion - $163,691)  ............  $24,334,359
                                                      -----------
 Expenses (Note 2):
   Investment management fee .......................    1,756,750
   Service fee .....................................      310,860
   Transfer agency and dividend disbursing .........      280,665
   Accounting services fee .........................       50,000
   Audit fees ......................................       30,450
   Custodian fees ..................................       23,325
   Legal fees ......................................       16,255
   Other ...........................................      120,894
                                                      -----------
    Total expenses  ................................    2,589,199
                                                      -----------
      Net investment income ........................   21,745,160
                                                      -----------
Realized and Unrealized Gain (Loss) on Investments
 Realized net gain on investments  .................    1,527,051
 Unrealized depreciation in value of investments
   during the period ...............................  (22,927,131)
                                                      -----------
   Net loss on investments .........................  (21,400,080)
                                                      -----------
    Net increase in net assets
      resulting from operations ....................  $   345,080
                                                      ===========

                       See notes to financial statements.


<PAGE>
UNITED MUNICIPAL HIGH INCOME FUND, INC.
STATEMENT OF CHANGES IN NET ASSETS

                                           For the fiscal year
                                            ended September 30,
                                        -------------------------
                                             1994        1993
                                        ------------ ------------
Increase in Net Assets
 Operations:
   Net investment income ...............$ 21,745,160 $ 18,845,213
   Realized net gain on investments ....   1,527,051    5,051,945
   Unrealized appreciation
    (depreciation)  .................... (22,927,131)  14,102,680
                                        ------------ ------------
    Net increase in net assets
      resulting from operations ........     345,080   37,999,838
                                        ------------ ------------
 Dividends to shareholders from:*
   Net investment income ............... (21,745,160) (18,845,213)
   Realized net gain from investment
    transactions  ......................  (4,619,821)  (2,193,823)
                                        ------------ ------------
                                         (26,364,981) (21,039,036)
                                        ------------ ------------
 Capital share transactions:
   Proceeds from sale of shares
    (10,978,008 and 11,521,464 shares,
    respectively)  .....................  58,602,026   61,425,292
   Proceeds from reinvestment of
    dividends and/or capital gains
    distribution (4,126,763 and 3,220,064
    shares, respectively)  .............  21,969,625   17,133,052
   Payments for shares redeemed
    (7,325,581 and 5,063,005 shares,
    respectively)  ..................... (38,763,374) (26,922,626)
                                        ------------ ------------
    Net increase in net assets
      resulting from capital
      share transactions ...............  41,808,277   51,635,718
                                        ------------ ------------
      Total increase ...................  15,788,376   68,596,520
Net Assets
 Beginning of period  .................. 329,373,480  260,776,960
                                        ------------ ------------
 End of period  ........................$345,161,856 $329,373,480
                                        ============ ============
   Undistributed net investment
    income  ............................        $---         $---
                                                ====         ====

                    *See "Financial Highlights" on page 28.

                       See notes to financial statements.


<PAGE>
UNITED MUNICIPAL HIGH INCOME FUND, INC.
FINANCIAL HIGHLIGHTS
For a Share of Capital Stock Outstanding
Throughout Each Period:

                                  For the fiscal year ended
                                         September 30,
                             ------------------------------------
                               1994   1993    1992   1991    1990
                             ------ ------  ------ ------  ------
Net asset value,
 beginning of
 period  ...........          $5.53  $5.23   $5.05  $4.85   $4.96
                              -----  -----   -----  -----   -----
Income from investment
 operations:
 Net investment
   income...........            .34    .35     .36    .38     .39
 Net realized and
   unrealized gain
   (loss) on
   investments .....          (0.34)   .34     .18    .20   (0.11)
                              -----  -----   -----  -----   -----
Total from investment
 operations  .......           0.00    .69     .54    .58     .28
                              -----  -----   -----  -----   -----
Less distributions:
 Dividends declared from
   net investment
   income ..........          (0.34) (0.35)  (0.36) (0.38)  (0.39)
 Distribution from
   capital gains ...          (0.07) (0.04)    .00    .00     .00
                              -----  -----   -----  -----   -----
Total distributions.          (0.41) (0.39)  (0.36) (0.38)  (0.39)
                              -----  -----   -----  -----   -----
Net asset value, end
 of period  ........          $5.12  $5.53   $5.23  $5.05   $4.85
                              =====  =====   =====  =====   =====
Total return* ......           0.05% 13.77%  11.08% 12.35%   5.89%
Net assets, end
 of period (000
 omitted) ..........       $345,162$329,373$260,777$224,945$192,440
Ratio of expenses to
 average net
 assets  ...........           0.76%  0.70%   0.72%  0.77%   0.75%
Ratio of net investment
 income to average
 net assets  .......           6.39%  6.49%   7.08%  7.63%   7.97%
Portfolio turnover
 rate  .............          26.26% 26.13%  54.18% 60.83%  27.31%

 *Total return calculated without taking into account the sales load deducted on
  an initial purchase.
                       See notes to financial statements.


<PAGE>
UNITED MUNICIPAL HIGH INCOME FUND, INC.
NOTES TO FINANCIAL STATEMENTS
SEPTEMBER 30, 1994

NOTE 1 -- Significant Accounting Policies

     United Municipal High Income Fund, Inc. (the "Fund") is registered under
the Investment Company Act of 1940 as a diversified, open-end management
investment company.  The following is a summary of significant accounting
policies consistently followed by the Fund in the preparation of its financial
statements.  The policies are in conformity with generally accepted accounting
principles.

A.   Security valuation -- Municipal bonds and the taxable obligations in the
     Fund's investment portfolio are not listed or traded on any securities
     exchange.  Therefore, municipal bonds are valued using prices quoted by
     Muller and Company, a dealer in bonds which offers a pricing service.
     Short-term debt securities, whether taxable or nontaxable, are valued at
     amortized cost, which approximates market.

B.   Security transactions and related investment income -- Security
     transactions are accounted for on the trade date (date the order to buy or
     sell is executed).  Securities gains and losses are calculated on the
     identified cost basis.  Original issue discount (as defined by the Internal
     Revenue Code) and premiums on the purchase of bonds are amortized for both
     financial and tax reporting purposes over the remaining lives of the bonds.
     Interest income is recorded on the accrual basis.  See Note 3 -- Investment
     Security Transactions.

C.   Federal income taxes -- The Fund intends to distribute all of its net
     investment income and capital gains to its shareholders and otherwise
     qualify as a regulated investment company under the Internal Revenue Code.
     The Fund intends to pay distributions as required to avoid imposition of
     excise tax.  Accordingly, provision has not been made for Federal income
     taxes.  In addition, the Fund intends to meet requirements of the Internal
     Revenue Code which will permit it to pay dividends from net investment
     income, substantially all of which will be exempt from Federal income tax.
     See Note 4 -- Federal Income Tax Matters.

D.   Dividends and distributions -- All of the Fund's net investment income is
     declared and recorded by the Fund as dividends payable on each day to
     shareholders of record at the time of the previous determination of net
     asset value.  During the period ended September 30, 1994, the Fund adopted
     Statement of Position 93-2 Determination, Disclosure, and Financial
     Statement Presentation of Income, Capital Gain, and Return of Capital
     Distributions by Investment Companies.  Accordingly, permanent book and tax
     basis differences relating to future shareholder distributions have been
     reclassified to additional paid-in capital.  As of October 1, 1993, the
     cumulative effect of such differences totaling $1,050 was reclassified from
     accumulated undistributed net realized gain on investment transactions to
     additional paid-in capital.  Net investment income, net realized gains and
     net assets were not affected by this change.

NOTE 2 -- Investment Management and Payments to Affiliated Persons

     The Fund pays a fee for investment management services.  The fee is
computed daily based on the net asset value at the close of business.  The fee
consists of two elements: (i) a "Specific" fee computed on net asset value as of
the close of business each day at the annual rate of .10% of net assets and (ii)
a "Group" fee computed each day on the combined net asset values of all of the
funds in the United Group of mutual funds (approximately $11.2 billion of
combined net assets at September 30, 1994) at annual rates of .51% of the first
$750 million of combined net assets, .49% on that amount between $750 million
and $1.5 billion, .47% between $1.5 billion and $2.25 billion, .45% between
$2.25 billion and $3 billion, .43% between $3 billion and $3.75 billion, .40%
between $3.75 billion and $7.5 billion, .38% between $7.5 billion and $12
billion, and .36% of that amount over $12 billion.  The Fund accrues and pays
this fee daily.

     Pursuant to assignment of the Investment Management Agreement between the
Fund and Waddell & Reed, Inc. ("W&R"), Waddell & Reed Investment Management
Company ("WRIMCO"), a wholly-owned subsidiary of W&R, serves as the Fund's
investment manager.

     The Fund has an Accounting Services Agreement with Waddell & Reed Services
Company ("WARSCO"), a wholly-owned subsidiary of W&R.  Under the agreement,
WARSCO acts as the agent in providing accounting services and assistance to the
Fund and pricing daily the value of shares of the Fund.  For these services, the
Fund pays WARSCO a monthly fee of one-twelfth of the annual fee shown in the
following table.

                            Accounting Services Fee
                  Average
               Net Asset Level           Annual Fee
          (all dollars in millions) Rate for Each Level
          ------------------------- -------------------
           From $    0 to $   10           $      0
           From $   10 to $   25           $ 10,000
           From $   25 to $   50           $ 20,000
           From $   50 to $  100           $ 30,000
           From $  100 to $  200           $ 40,000
           From $  200 to $  350           $ 50,000
           From $  350 to $  550           $ 60,000
           From $  550 to $  750           $ 70,000
           From $  750 to $1,000           $ 85,000
                $1,000 and Over            $100,000

     The Fund also pays WARSCO a monthly per account charge for transfer agency
and dividend disbursement services of $1.0208 for each shareholder account which
was in existence at any time during the prior month, plus $0.30 for each account
on which a dividend or distribution of cash or shares was paid in that month.
The Fund also reimburses W&R and WARSCO for certain out-of-pocket costs.

     As principal underwriter for the Fund's shares, W&R received direct and
indirect gross sales commissions (which are not an expense of the Fund) of
$1,486,258, out of which W&R paid sales commissions of $836,974 and all expenses
in connection with the sale of Fund shares, except for registration fees and
related expenses.

     Under a Service Plan adopted by the Fund pursuant to Rule 12b-1 under the
Investment Company Act of 1940, the Fund may pay monthly a fee to W&R in an
amount not to exceed .25% of the Fund's average annual net assets.  The fee is
to be paid to reimburse W&R for amounts it expends in connection with the
provision of personal services to Fund shareholders and/or maintenance of
shareholder accounts.

     The Fund paid Directors' fees of $12,320.

     W&R is an indirect subsidiary of Torchmark Corporation, a holding company,
and United Investors Management Company, a holding company, and a direct
subsidiary of Waddell & Reed Financial Services, Inc., a holding company.

NOTE 3 -- Investment Security Transactions

     Purchases of investment securities, other than U.S. Government and short-
term securities, aggregated $117,232,226, while proceeds from maturities and
sales aggregated $86,678,656.  Purchases of short-term securities aggregated
$119,198,168, while proceeds from maturities and sales aggregated $112,431,990.
No U.S. Government securities were bought or sold during the period ended
September 30, 1994.

     For Federal income tax purposes, cost of investments owned at September 30,
1994 was $342,127,929, resulting in net unrealized appreciation of $516,162, of
which $8,822,996 related to appreciated securities and $8,306,834 related to
depreciated securities.

NOTE 4 -- Federal Income Tax Matters

     For Federal income tax purposes, the Fund realized capital gain net income
of $1,527,051 during the year ended September 30, 1994, of which a portion was
paid to shareholders during the period ended september 30, 1994.  Remaining net
capital gains will be distributed to the Fund's shareholders.


<PAGE>
REPORT OF INDEPENDENT ACCOUNTANTS
To the Board of Directors and Shareholders of
  United Municipal High Income Fund, Inc.


In our opinion, the accompanying statement of assets and liabilities, including
the schedule of investments, and the related statements of operations and of
changes in net assets and the financial highlights present fairly, in all
material respects, the financial position of United Municipal High Income Fund,
Inc. (the "Fund") at September 30, 1994, the results of its operations for the
year then ended and the changes in its net assets and the financial highlights
for the periods indicated, in conformity with generally accepted accounting
principles.  These financial statements and financial highlights (hereafter
referred to as "financial statements") are the responsibility of the Fund's
management; our responsibility is to express an opinion on these financial
statements based on our audits.  We conducted our audits of these financial
statements in accordance with generally accepted auditing standards which
require that we plan and perform the audit to obtain reasonable assurance about
whether the financial statements are free of material misstatement.  An audit
includes examining, on a test basis, evidence supporting the amounts and
disclosures in the financial statements, assessing the accounting principles
used and significant estimates made by management, and evaluating the overall
financial statement presentation.  We believe that our audits, which included
confirmation of securities at September 30, 1994 by correspondence with the
custodian and brokers and the application of alternative auditing procedures
where confirmations from brokers were not received, provide a reasonable basis
for the opinion expressed above.



PRICE WATERHOUSE LLP
Kansas City, Missouri
October 31, 1994


<PAGE>
                             INCOME TAX INFORMATION

Dividends are declared and recorded by the Fund on each day the New York Stock
Exchange is open for business.  Dividends are paid monthly on the 27th of the
month or on the preceding business day if the 27th is a weekend or holiday.

Exempt Interest Dividends - The exempt interest portion of dividends paid
represents the distribution of state and municipal bond interest and is exempt
from Federal income taxation.

The table below shows the taxability of dividends paid during the fiscal year
ended September 30, 1994:

                    PERCENTAGE AMOUNTS REPORTABLE AS:
- ----------------------------------------------------------------------------
           For Individuals               For Corporations
- --------------------------------------------------------------------------
RecordOrdinary  Exempt    Long-Term     Non-   Exempt   Long-Term
 Date   IncomeInterest Capital GainQualifyingInterestCapital Gain
- ------------------------------------------------------------------------
October
 through
 December
 1993   0.7861% 99.2139%    0.0000%   0.7861% 99.2139%    0.0000%
December 1993
 Security Profit
 Distribu-
 tion  27.1817   0.0000    72.8183   27.1817   0.0000    72.8183
January
 through
 September
 1994   1.0929  98.9071     0.0000    1.0929  98.9071     0.0000

NON-QUALIFYING DIVIDENDS - The non-qualifying portion of distributions
represents the taxable portion of dividends paid and does not qualify for the
dividends received deduction for corporations.

The actual taxable amounts of dividends will be reported to you on Form 1099-DIV
after the close of the applicable calendar year.

Income from the Fund may be subject to the alternative minimum tax.
Shareholders are advised to consult with their tax advisors concerning the tax
treatment of dividends and distributions from the Fund.


<PAGE>
DIRECTORS

Ronald K. Richey, Birmingham, Alabama, Chairman of the Board
Henry L. Bellmon, Red Rock, Oklahoma
Dodds I. Buchanan, Boulder, Colorado
Jay B. Dillingham, Kansas City, Missouri
John F. Hayes, Hutchinson, Kansas
Glendon E. Johnson, Miami, Florida
William T. Morgan, Los Angeles, California
Doyle Patterson, Kansas City, Missouri
Keith A. Tucker, Overland Park, Kansas
Frederick Vogel, III, Milwaukee, Wisconsin
Paul S. Wise, Carefree, Arizona
Leslie S. Wright, Birmingham, Alabama



OFFICERS

Keith A. Tucker, President
Robert L. Hechler, Vice President
Henry J. Herrmann, Vice President
John M. Holliday, Vice President
Theodore W. Howard, Vice President and Treasurer
Sharon K. Pappas, Vice President and Secretary
Carl E. Sturgeon, Vice President














This report is submitted for the general information of the shareholders of
United Municipal High Income Fund, Inc.  It is not authorized for distribution
to prospective investors in the Fund unless accompanied with or preceded by the
United Municipal High Income Fund, Inc. current prospectus.

<PAGE>
The United Group of Mutual Funds

United Cash Management, Inc.
United Government Securities Fund, Inc.
United Bond Fund
United Municipal Bond Fund, Inc.
United Continental Income Fund, Inc.
United Income Fund
United Municipal High Income Fund, Inc.
United High Income Fund, Inc.
United High Income Fund II, Inc.
United Accumulative Fund
United Vanguard Fund, Inc.
United New Concepts Fund, Inc.
United Science and Technology Fund
United International Growth Fund, Inc.
United Gold & Government Fund, Inc.
United Retirement Shares, Inc.






















FOR MORE INFORMATION:
Contact your representative, or your
local office as listed on your
Account Statement, or contact:
  WADDELL & REED
  CUSTOMER SERVICE
  6300 Lamar Avenue
  P.O. Box 29217
  Shawnee Mission, KS  66201-9217
  (913) 236-1303




NUR1014A(9-94)

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