DUFF & PHELPS UTILITIES INCOME INC
DEF 14A, 1998-03-09
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<PAGE>
 
                           SCHEDULE 14A INFORMATION

          Proxy Statement Pursuant to Section 14(a) of the Securities
                    Exchange Act of 1934 (Amendment No.  )
        
Filed by the Registrant [X]

Filed by a Party other than the Registrant [_] 

Check the appropriate box:

[_]  Preliminary Proxy Statement         [_]  CONFIDENTIAL, FOR USE OF THE
                                              COMMISSION ONLY (AS PERMITTED BY
                                              RULE 14A-6(E)(2))

[X]  Definitive Proxy Statement 

[_]  Definitive Additional Materials 

[_]  Soliciting Material Pursuant to Section 240.14a-11(c) or Section 240.14a-12

                      DUFF & PHELPS UTILITIES INCOME INC.
- - --------------------------------------------------------------------------------
               (Name of Registrant as Specified In Its Charter)

                                 
- - --------------------------------------------------------------------------------
   (Name of Person(s) Filing Proxy Statement, if other than the Registrant)

   
Payment of Filing Fee (Check the appropriate box):

[X]  No fee required

[_]  Fee computed on table below per Exchange Act Rules 14a-6(i)(4) and 0-11.

   
     (1) Title of each class of securities to which transaction applies:

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     (2) Aggregate number of securities to which transaction applies:

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     (3) Per unit price or other underlying value of transaction computed
         pursuant to Exchange Act Rule 0-11 (Set forth the amount on which
         the filing fee is calculated and state how it was determined):

     -------------------------------------------------------------------------
      

     (4) Proposed maximum aggregate value of transaction:

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     (5) Total fee paid:

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[_]  Fee paid previously with preliminary materials.
     
[_]  Check box if any part of the fee is offset as provided by Exchange
     Act Rule 0-11(a)(2) and identify the filing for which the offsetting fee
     was paid previously. Identify the previous filing by registration statement
     number, or the Form or Schedule and the date of its filing.
     
     (1) Amount Previously Paid:
 
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     (2) Form, Schedule or Registration Statement No.:

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     (3) Filing Party:
      
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     (4) Date Filed:

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Notes:


<PAGE>
 
LOGO                        DUFF & PHELPS
 
                            UTILITIES INCOME INC.
 
         55 EAST MONROE STREET, CHICAGO, ILLINOIS 60603 (312) 368-5510
 
                   NOTICE OF ANNUAL MEETING OF SHAREHOLDERS
                                APRIL 29, 1998
 
  The annual meeting of shareholders of Duff & Phelps Utilities Income Inc.
will be held at The Chicago Club, 81 East Van Buren Street, Chicago, Illinois,
on Wednesday, April 29, 1998 at 9:00 a.m. to:
 
  1. Elect two directors by the holders of the Fund's common stock and one
     director by the holders of the Fund's preferred stock;
 
  2. Ratify or reject the selection of Arthur Andersen LLP as independent
     public accountants for the Fund;
 
  3. Approve or disapprove an amended and restated investment advisory
     agreement with Duff & Phelps Investment Management Co.; and
 
  4. Transact such other business as may properly come before the meeting.
 
  Shareholders of record at the close of business on February 28, 1998 are
entitled to vote at the meeting.
 
                                          For the Board of Directors,
 
                                          LOGO
                                          T. Brooks Beittel
                                          Secretary
 
March 10, 1998
 
                     WE NEED YOUR PROXY VOTE IMMEDIATELY.
 
YOUR VOTE IS VITAL. THE MEETING OF SHAREHOLDERS WILL HAVE TO BE ADJOURNED
WITHOUT CONDUCTING ANY BUSINESS IF FEWER THAN A MAJORITY OF THE SHARES
ELIGIBLE TO VOTE ARE REPRESENTED. IN THAT EVENT, THE FUND WOULD CONTINUE TO
SOLICIT VOTES IN AN ATTEMPT TO OBTAIN A QUORUM. TO AVOID THE EXPENSE OF AND
THE POSSIBLE DELAY CREATED BY SUCH A SOLICITATION, PLEASE RETURN YOUR PROXY
CARD IMMEDIATELY. YOU AND ALL OTHER SHAREHOLDERS WILL BENEFIT FROM YOUR
COOPERATION.
<PAGE>
 
                                PROXY STATEMENT
 
  The board of directors of Duff & Phelps Utilities Income Inc. (the "Fund")
is soliciting proxies from the shareholders for use at the annual meeting of
shareholders to be held April 29, 1998 and at any adjournment of that meeting.
A proxy may be revoked at any time before it is voted, either by voting in
person at the meeting or by written notice to the Fund or delivery of a later-
dated proxy.
 
  Shareholders of the Fund of record at the close of business on February 28,
1998 are entitled to notice of and to participate in the meeting. The Fund had
203,416,529 shares of common stock and 5,000 shares of remarketed preferred
stock outstanding on the record date. Each share of common stock outstanding
on the record date entitles the holder thereof to one vote for each director
being elected by the common stock (with no cumulative voting permitted) and to
one vote on each other matter. Each share of preferred stock outstanding on
the record date entitles the holder thereof to one vote for each director
being elected by the preferred stock (with no cumulative voting permitted) and
to one vote on each other matter submitted for a vote of holders of preferred
stock. A plurality of votes cast at the meeting by the common stock as to the
directors representing the common stock is necessary to elect such directors.
A plurality of votes cast at the meeting by the preferred stock as to the
director representing the preferred stock is necessary to elect such director.
The affirmative vote of a majority of the outstanding shares of common stock
and preferred stock, voting together as a single class, is required to approve
the Amended Advisory Agreement described under Proposal 3 below. On most other
matters, the affirmative vote of a majority of either (a) all of the shares
outstanding and entitled to be voted thereon or (b) just the shares voted at
the meeting, with the common stock and the preferred stock voting together as
a single class, is necessary for approval. An affirmative vote by either a
majority or two-thirds of the remarketed preferred stock (voting separately as
one class) or by a series thereof is also necessary to approve certain matters
adversely affecting the remarketed preferred stock or the series. Abstentions
are counted for purposes of determining whether a quorum is present at the
meeting but not for purposes of determining the number of votes cast with
respect to any voting matter. However, abstentions have the effect of a no
vote if the vote required is a majority of all the shares outstanding and
entitled to be voted. Any broker non-votes on a particular matter are treated
as abstentions with respect to that matter.
 
  This proxy statement is first being mailed on or about March 10, 1998. The
Fund will bear the cost of the annual meeting and this proxy solicitation.
 
                           1. ELECTION OF DIRECTORS
 
  The board of directors of the Fund is responsible for the overall management
and operations of the Fund. Directors are divided into three classes and
elected to serve staggered three-year terms. At the meeting, holders of common
stock are entitled to elect two directors and holders of preferred stock are
entitled to elect one director, in each case to serve until the annual meeting
of shareholders in 2001 or until their successors are elected and qualified.
The persons named in the enclosed proxy intend to vote in favor of the
election of the persons named below (unless otherwise instructed).
 
  Each of the nominees has consented to serve as a director of the Fund, if
elected. In case any of the nominees should become unavailable for election
for any unforeseen reason, the persons designated in the proxy will have the
right to vote for a substitute. The name, positions with the Fund, principal
occupations during the past five years, other business affiliations, age at
February 1, 1998 and address of each of the nominees and of
 
                                       1
<PAGE>
 
each of the other current directors are stated below. Messrs. Cole, Davidson,
Bruce and Day have been directors of the Fund since January 1989. Ms. Lampton
has been a director of the Fund since October 1994, and Mr. Sprinkel has been
a director of the Fund since April 1995. Each of the other current directors
has been a director of the Fund since the Fund commenced operations in January
1987.
 
NOMINEES
 
 
  WITH TERMS EXPIRING IN 2001:
 
    FRANKLIN A. COLE, director (2)(5)
 
      Chairman, Croesus Corporation (private management and investment
      company); former Chairman and Chief Executive Officer, Amerifin
      Corporation (formerly named Walter E. Heller International
      Corporation); director, American National Bank and Trust Company of
      Chicago, Aon Corporation and CNA Income Shares; age 71; 11 South
      LaSalle Street, Chicago, Illinois 60602.
 
    FRANCIS E. JEFFRIES, director (1)(2)(4)
 
      Retired Chairman, Phoenix Duff & Phelps Corporation since December
      1996 (Chairman, November 1995-December 1996); Chairman and Chief
      Executive Officer, Duff & Phelps Corporation, June 1993-November
      1995 (President and Chief Executive Officer, January 1992-June
      1993); President and Chief Executive Officer, Duff & Phelps Illinois
      Inc. since 1987 (President and Chief Operating Officer, 1984-1987)
      and Chairman of the Board, Duff & Phelps Investment Management Co.
      (1988-1993); director, The Empire District Electric Company, Duff &
      Phelps Utilities Tax-Free Income Inc. and Duff & Phelps Utility and
      Corporate Bond Trust Inc.; director/trustee, Phoenix Funds; age 67;
      6585 Nicholas Boulevard, Naples, Florida 34108.
 
    BERYL W. SPRINKEL, director (3)(6)
 
      Consulting economist since January 1989; Chairman of the Council of
      Economic Advisers under President Reagan (1985-1989); member of
      President Reagan's cabinet (1987-1989); Under Secretary of the
      Treasury for Monetary Affairs (1981-1985); age 74; 20140 St. Andrews
      Drive, Olympia Fields, Illinois 60461.
 
CONTINUING DIRECTORS
 
 
  WITH TERMS EXPIRING IN 1999:
 
    WALLACE B. BEHNKE, director (3)
 
      Consulting engineer since July 1989; prior thereto, Vice Chairman,
      Commonwealth Edison Company (public utility); age 72; 323 Glen
      Eagle, Kiawah Island, South Carolina 29455.
 
    GORDON B. DAVIDSON, director (4)
 
      Senior Counsel, Wyatt, Tarrant & Combs (law firm) since September
      1995 (Chairman of the Executive Committee prior thereto); retired
      director, BellSouth Corp.; former Chairman of the Board and
      director, Trans Financial Advisers, Inc.; age 71; Citizens Plaza,
      Louisville, Kentucky 40202.
 
                                       2
<PAGE>
 
    CLAIRE V. HANSEN, director and Chairman (1)(2)(4)
 
      Senior Advisor to the Board of Directors, Phoenix Duff & Phelps
      Corporation since November 1995; Senior Advisor to the Board of
      Directors, Duff & Phelps Corporation, 1988-November 1995 (Chairman
      of the Board, 1987-1988; Chairman of the Board and Chief Executive
      Officer prior thereto); Chairman of the Board, Duff Research Inc.
      and Duff & Phelps Investment Management Co., 1985-1987; age 72; 5601
      Turtle Bay Drive, Naples, Florida 34108.
 
  WITH TERMS EXPIRING IN 2000:
 
    HARRY J. BRUCE, director (3)
 
      Private investor; Chairman, Roman Holdings, Inc.; former Chairman
      and Chief Executive Officer, Illinois Central Railroad Co.;
      director, General Binding Corporation; age 66; 88 Woodley Road,
      Winnetka, Illinois 60093.
 
    ROBERT J. DAY, director (4)(5)
 
      Retired Chairman and Director, USG Corporation (manufacturer of
      construction materials) since June 1990 (Chairman and Chief
      Executive Officer prior thereto); former Chairman of the Board,
      Federal Reserve Bank of Chicago; age 73; 125 South Franklin Street,
      Chicago, Illinois 60606.
 
    NANCY LAMPTON, director (5)(6)
 
      Chairman and Chief Executive Officer, American Life and Accident
      Insurance Company of Kentucky; director, BancOne Kentucky
      Corporation and Baltimore Gas and Electric; age 55; 3 Riverfront
      Plaza, Louisville, Kentucky 40202.
- - --------
(1) "Interested person" of the Fund (as defined in the Investment Company Act
    of 1940 (the "1940 Act")) as an officer of the Fund or as a current or
    former officer or director of the Fund's investment adviser.
(2) Member of the executive committee of the board of directors, which has
    authority, with certain exceptions, to exercise the powers of the board
    between board meetings.
(3) Member of the audit committee of the board of directors, which makes
    recommendations regarding the selection of the Fund's independent public
    accountants and meets with representatives of the accountants to determine
    the scope of and review the results of each audit.
(4) Member of the nominating committee of the board of directors, which
    selects nominees for election as directors and officers. The nominating
    committee does not consider nominees recommended by shareholders.
(5) Member of the contracts committee of the board of directors, which makes
    recommendations regarding the Fund's contractual arrangements for
    investment management and administrative services, including the terms and
    conditions of such contracts.
(6) Elected by the holders of the Fund's preferred stock.
 
                               ----------------
 
  During 1997, the board of directors held six meetings, the audit committee
met twice, the nominating committee met three times and the contracts
committee met twice. Each director attended at least 75% in the aggregate of
the meetings of the board and of the committees on which he or she served.
 
                                       3
<PAGE>
 
  The following table shows the compensation paid by the Fund to the Fund's
current directors during 1997:
 
                           COMPENSATION TABLE(1)(2)
 
<TABLE>
<CAPTION>
                                                                     AGGREGATE
                                                                    COMPENSATION
                                                                      FROM THE
      NAME OF DIRECTOR                                                  FUND
      ----------------                                              ------------
      <S>                                                           <C>
      Wallace B. Behnke............................................   $31,500
      Harry J. Bruce...............................................    24,500
      Franklin A. Cole.............................................    28,500
      Gordon B. Davidson...........................................    26,500
      Robert J. Day................................................    31,500
      Claire V. Hansen.............................................         0
      Francis E. Jeffries(2).......................................    26,500
      Nancy Lampton................................................    25,500
      Beryl W. Sprinkel............................................    25,500
</TABLE>
- - --------
(1) During 1997, each director not affiliated with the Adviser received an
    annual fee of $17,500 (and an additional $3,000 if the director served as
    chairman of a committee of the board of directors) plus an attendance fee
    of $1,000 for each meeting of the board of directors or of a committee of
    the board of directors attended in person or by telephone. Directors and
    officers affiliated with the Adviser receive no compensation from the Fund
    for their services as such. In addition to the amounts shown in the table
    above, all directors and officers who are not interested persons of the
    Fund, the Adviser or the Administrator are reimbursed for the expenses
    incurred by them in connection with their attendance at a meeting of the
    board of directors or a committee of the board of directors. The Fund does
    not have a pension or retirement plan applicable to directors or officers
    of the Fund.
(2) During 1997, Mr. Jeffries received aggregate compensation of $35,000 for
    service as a director of the Fund and as a director of two other
    investment companies in the same fund complex as the Fund. No other
    director received compensation for service as a director of any other
    investment company in the same fund complex as the Fund.
 
                2. SELECTION OF INDEPENDENT PUBLIC ACCOUNTANTS
 
  The board of directors has selected Arthur Andersen LLP as independent
public accountants for the Fund until the annual meeting of shareholders held
in 1999. Arthur Andersen LLP has served as independent public accountants for
the Fund since the Fund commenced operations. The selection is being submitted
for ratification or rejection by the shareholders as required by the 1940 Act.
A representative of Arthur Andersen LLP is expected to be present at the
meeting of shareholders and will be available to respond to appropriate
questions and have an opportunity to make a statement if the representative so
desires. Ratification or rejection of the selection of independent public
accountants will be determined by a majority of the votes cast.
 
  THE BOARD OF DIRECTORS UNANIMOUSLY RECOMMENDS A VOTE "FOR" RATIFICATION OF
THE SELECTION OF ARTHUR ANDERSEN LLP.
 
                                       4
<PAGE>
 
                            3. APPROVAL OF AMENDED
                  AND RESTATED INVESTMENT ADVISORY AGREEMENT
 
  Duff & Phelps Investment Management Co. serves as the Fund's investment
adviser (the "Adviser") under an investment advisory agreement (the "Current
Advisory Agreement") dated November 1, 1995. At the annual meeting,
shareholders will be asked to approve an amended and restated investment
advisory agreement (the "Amended Advisory Agreement") to change the base
amount used to calculate the Adviser's management fee.
 
  THE ADVISER AND PHOENIX DUFF & PHELPS. The Adviser (together with its
predecessor) has been in the investment advisory business for more than 60
years and, excluding the Fund, currently has more than $10.8 billion in client
accounts under discretionary management. The Adviser also provides non-
discretionary investment advisory and portfolio consulting services to
corporate and public retirement funds and endowment funds aggregating more
than $11 billion.
 
  The address of the Adviser is 55 East Monroe Street, Chicago, Illinois
60603. The Adviser is a wholly-owned subsidiary of Phoenix Duff & Phelps
Corporation, a Delaware corporation ("Phoenix Duff & Phelps"), which has its
principal offices at 56 Prospect Street, Hartford, Connecticut 06115.
Approximately 60 percent of the outstanding common stock of Phoenix Duff &
Phelps is owned by PM Holdings, Inc., a Connecticut corporation, which is a
wholly-owned subsidiary of Phoenix Home Life Mutual Insurance Company, a New
York mutual life insurance company. Each of the parent companies of Phoenix
Duff & Phelps has its principal offices at 100 Bright Meadows Boulevard,
Enfield, Connecticut 06083.
 
  The directors of the Adviser are Clyde E. Bartter, Philip R. McLoughlin and
Calvin J. Pedersen. The principal occupations of Mr. Pedersen are shown under
"Other Information--Officers of the Fund" below. Mr. Bartter is President and
Mr. McLoughlin is Chief Executive Officer of the Adviser. The business address
of Mr. Bartter is 600 Ohio Savings Plaza, Cleveland, Ohio 44114. The business
address of Mr. Pedersen is 55 East Monroe Street, Chicago, Illinois 60603. The
business address of Mr. McLoughlin is 56 Prospect Street, Hartford,
Connecticut 06115.
 
  CURRENT ADVISORY AGREEMENT. Under the terms of the Current Advisory
Agreement, the Adviser furnishes continuing investment supervision to the Fund
and is responsible for the management of the Fund's portfolio, subject to the
overall control of the board of directors of the Fund. Currently, the Adviser
has nine professionals (i.e., research analysts and portfolio managers), along
with support staff, assigned to the operation of the Fund. Seven of the nine
professionals have the CFA (Chartered Financial Analyst) designation and one
is a CPA (Certified Public Accountant). The Adviser furnishes, at its own
expense, office space, equipment and personnel to the Fund in connection with
the performance of its investment management responsibilities, and pays all
other expenses incurred by it in connection with managing the assets of the
Fund not payable by the Fund's administrator pursuant to the administration
agreement. The Current Advisory Agreement also includes the conditions under
which the Fund may use "Duff & Phelps" in its name. For its services the
Adviser receives from the Fund a quarterly management fee, payable out of the
Fund's assets, at an annual rate of 0.60 of 1% of the average weekly net
assets of the Fund up to $1.5 billion and 0.50 of 1% of average weekly net
assets in excess of $1.5 billion. The management fee paid by the Fund to the
Adviser for 1997 was $12,730,134.
 
  Except for the expenses borne by the Adviser and the Administrator (as
described below) pursuant to their respective agreements with the Fund, the
Fund pays all expenses incurred in its operations, including, among
 
                                       5
<PAGE>
 
other things, expenses for legal, accounting and auditing services, taxes,
interest, costs of printing and distributing shareholder reports, proxy
materials, prospectuses and stock certificates, charges of custodians,
registrars, transfer agents, dividend disbursing agents, dividend reinvestment
plan agents and remarketing agents, Securities and Exchange Commission fees,
fees and expenses of non-interested directors, insurance, brokerage costs,
litigation and other extraordinary or non-recurring expenses.
 
  The Current Advisory Agreement provides that the Adviser shall not be liable
to the Fund or its shareholders for any loss suffered as a consequence of any
act or omission of the Adviser in connection with the Current Advisory
Agreement except by reason of its willful misfeasance, bad faith or gross
negligence in the performance of its duties or by reason of reckless disregard
of its obligations under the Current Advisory Agreement.
 
  Unless earlier terminated as described below, the Current Advisory Agreement
continues from year to year, if approved annually (i) by a majority of the
directors of the Fund who are not interested persons of the Fund or the
Adviser and (ii) by either the board of directors of the Fund or the holders
of a majority of the outstanding shares of the Fund as defined in the 1940
Act. A majority of the outstanding shares of the Fund as defined in the 1940
Act means the following vote of each of the common stock and the preferred
stock voting separately by class: (i) 67% of the shares of the class
represented at a meeting at which more than 50% of the outstanding shares of
the class are represented; or (ii) more than 50% of the outstanding shares of
the class. The Current Advisory Agreement may be terminated without penalty on
60 days' written notice by any party thereto or by a vote of the shareholders
of the Fund and would terminate automatically if it were assigned by any
party. If the Current Advisory Agreement were terminated, shareholder approval
would be required to enter into a new agreement. The Fund's shareholders
approved the Current Advisory Agreement at a special meeting held on September
12, 1995 in connection with the merger of Phoenix Securities Group, Inc., a
wholly-owned subsidiary of PM Holdings, Inc., into Duff & Phelps Corporation
(which was renamed Phoenix Duff & Phelps Corporation). At a meeting held on
October 17, 1997, the board of directors of the Fund, including all of the
directors who are not interested persons of the Fund or the Adviser in
attendance at the meeting voting separately as a class, voted to approve the
continuation of the Current Advisory Agreement for a twelve-month period
commencing November 1, 1997.
 
  SERVICE AGREEMENT. The Fund is also a party to a service agreement dated
November 1, 1995 (the "Service Agreement") with the Adviser and Phoenix Duff &
Phelps. Under the terms of the Service Agreement, Phoenix Duff & Phelps makes
available to the Adviser the services of its employees and various facilities
to enable the Adviser to perform certain of its obligations to the Fund.
However, the obligation of performance under the Current Advisory Agreement is
solely that of the Adviser, for which Phoenix Duff & Phelps assumes no
responsibility, except as described in the preceding sentence. The Adviser
reimburses Phoenix Duff & Phelps for any costs, direct or indirect, that are
fairly attributable to the services performed and the facilities provided by
Phoenix Duff & Phelps under the Service Agreement. The Fund does not pay any
fees pursuant to the Service Agreement.
 
  The Service Agreement provides that the Adviser and Phoenix Duff & Phelps
shall not be liable to the Fund or its shareholders for any loss suffered as a
consequence of any act or omission of the Adviser or Phoenix Duff & Phelps, as
the case may be, in connection with the Service Agreement except by reason of
its willful misfeasance, bad faith or gross negligence in the performance of
its duties or by reason of reckless disregard of its obligations under the
Service Agreement.
 
                                       6
<PAGE>
 
  Unless earlier terminated as described below, the Service Agreement
continues from year to year, if approved annually (i) by a majority of the
directors of the Fund who are not interested persons of the Fund or Phoenix
Duff & Phelps and (ii) by either the board of directors of the Fund or the
holders of a majority of the outstanding shares of the Fund as defined in the
1940 Act. A majority of the outstanding shares of the Fund as defined in the
1940 Act means the following vote of each of the common stock and the
preferred stock voting separately by class: (i) 67% of the shares of the class
represented at a meeting at which more than 50% of the outstanding shares of
the class are represented; or (ii) more than 50% of the outstanding shares of
the class. The Service Agreement may be terminated without penalty on 60 days'
written notice by any party thereto and would terminate automatically if it
were assigned by any party unless a majority of the Fund's board of directors,
including a majority of the directors who are not interested persons of the
Fund or Phoenix Duff & Phelps, approves continuation of the Service Agreement.
At a meeting held on October 17, 1997, the board of directors of the Fund,
including all of the directors who are not interested persons of the Fund or
Phoenix Duff & Phelps in attendance at the meeting voting separately as a
class, voted to approve the continuation of the Service Agreement for a
twelve-month period commencing November 1, 1997.
 
  AMENDED ADVISORY AGREEMENT. The Amended Advisory Agreement differs from the
Current Advisory Agreement only with respect to (i) the base amount used to
calculate the Adviser's management fee, (ii) the effective date of the
agreement and (iii) the date stated for termination absent annual continuance.
A copy of the Amended Advisory Agreement is attached hereto as Attachment A.
 
  The Amended Advisory Agreement would change the base amount used to
calculate the Adviser's management fee as follows. Under the Current Advisory
Agreement, the management fee is calculated by multiplying a specified annual
rate by a base amount equal to the Fund's average weekly net assets. The
Fund's net assets are defined as the sum of (i) the aggregate net asset value
of the Fund's common stock and (ii) the aggregate liquidation preference of
the Fund's preferred stock. Under the Amended Advisory Agreement, the
management fee would be calculated by multiplying a specified annual rate by a
base amount (the "New Base Amount") equal to the sum of (i) the aggregate net
asset value of the Fund's common stock, (ii) the aggregate liquidation
preference of the Fund's preferred stock and (iii) the aggregate proceeds of
commercial paper issued by the Fund. Under the Amended Advisory Agreement, the
annual rate would be 0.60 of 1% of that portion of the New Base Amount which
does not exceed $1.5 billion and 0.50 of 1% of that portion of the New Base
Amount which exceeds $1.5 billion. The foregoing percentages are unchanged
from the Current Advisory Agreement, but the fees payable under the Amended
Advisory Agreement will differ from those payable under the Current Advisory
Agreement to the extent that the New Base Amount differs from the base amount
used under the Current Advisory Agreement.
 
  The aggregate amount of the management fee during the year ended December
31, 1997 was $12,730,134. Had the Amended Advisory Agreement been in effect
during 1997, the aggregate amount of the management fee would have been
$13,220,043. The difference between the actual fee and the fee had the Amended
Advisory Agreement been in effect represents 3.8% of the actual fee for 1997.
 
  The following table shows the Fund's expenses expressed as a percentage of
average net assets attributable to common shares (i) based on actual expenses
incurred during the year ended December 31, 1997 and (ii) on a pro forma basis
as if the Amended Advisory Agreement had been in effect during 1997.
 
                                       7
<PAGE>
 
<TABLE>
<CAPTION>
                                                   ANNUAL EXPENSES
                                            (AS A PERCENTAGE OF NET ASSETS
                                            ATTRIBUTABLE TO COMMON SHARES)
                                            ----------------------------------
                                                1997                1997
                                              (ACTUAL)          (PRO FORMA)
                                            ---------------   ----------------
      <S>                                   <C>               <C>
      Management Fee(1)...................                .73                .75
      Interest Payments on Borrowed Funds.                .32                .32
      Other Expenses......................                .40                .40
                                              ---------------    ---------------
      TOTAL ANNUAL EXPENSES...............               1.45               1.47
                                              ===============    ===============
</TABLE>
- - --------
(1) As a percentage of average total net assets (including both common and
    preferred shares), actual and pro forma Management Fees for 1997 were .56%
    and .59%, respectively.
 
  EXAMPLE: The following table shows the expenses a shareholder of the Fund
would pay on an investment of $1,000, assuming a 5% annual return and
redemption at the end of each period. This example should not be considered a
representation of future return or expenses. Actual return or expenses may be
greater or less than those shown.
 
<TABLE>
<CAPTION>
                                                              1997      1997
      PERIOD                                                (ACTUAL) (PRO FORMA)
      ------                                                -------- -----------
      <S>                                                   <C>      <C>
       1 year..............................................   $ 15      $ 15
       3 years.............................................     46        46
       5 years.............................................     79        80
      10 years.............................................    174       176
</TABLE>
 
  If approved by the shareholders of the Fund at the annual meeting, the
Amended Advisory Agreement will become effective on May 1, 1998 and extend
through April 30, 2000. The terms governing continuation or early termination
of the Amended Advisory Agreement are unchanged from the terms governing
continuation or early termination of the Current Advisory Agreement. If the
Amended Advisory Agreement is not approved, the Current Advisory Agreement
will remain in effect until October 31, 1998, subject to further continuation
or earlier termination as described above.
 
  If the Amended Advisory Agreement is approved, the Fund will also enter into
an amended Administration Agreement (see discussion below under "Other
Information--The Administrator") in order to use the same base amount to
calculate the Administrator's administrative fee that is used to calculate the
Adviser's management fee.
 
  BOARD OF DIRECTORS REVIEW AND RECOMMENDATION. On October 17, 1997, the board
of directors of the Fund, including all of the directors who are not
interested persons of the Fund or the Adviser, met in person to consider
whether it would be in the best interests of the Fund and its shareholders to
enter into the Amended Advisory Agreement. In considering the best interests
of the Fund and its shareholders, the directors (including all of the
directors who were not interested persons of the Fund or the Adviser) took
into account all factors that they deemed relevant. The factors considered
included the nature, quality and extent of the services furnished to the Fund
by the Adviser; the necessity of the Adviser maintaining and enhancing its
ability to retain and attract capable personnel to serve the Fund; the
increased complexity of the securities markets; the investment record of the
Fund; the expense ratio of the Fund; data on investment performance, advisory
fees and expense ratios of comparable investment companies; the profitability
to the Adviser of the Current Advisory Agreement; benefits to the Adviser from
the revised fee calculation in the Amended Advisory Agreement; current and
developing conditions in the financial services industry; and the financial
resources of the Adviser and the continuance of appropriate incentives to
assure that the Adviser will continue to furnish high-quality services to the
Fund.
 
                                       8
<PAGE>
 
  After reviewing and discussing the terms and provisions of the New Advisory
Agreement in light of the foregoing factors, the board of directors of the
Fund has concluded that the proposed fee change is in the best interests of
the Fund and its shareholders because it aligns the Adviser's compensation
more closely with the actual value of the assets under management. The Fund's
portfolio is comprised of assets purchased with the proceeds of the Fund's
common stock, preferred stock and commercial paper. Yet, when the management
fee is calculated under the Current Advisory Agreement, a significant
component of the Fund's portfolio, consisting of assets purchased with the
proceeds of the Fund's commercial paper, is excluded from the net assets of
the Fund. As a result, the Adviser's compensation does not accurately reflect
the full size and scope of the Fund's portfolio. The board of directors of the
Fund believes that including the aggregate proceeds of the Fund's commercial
paper will yield a truer picture of the Fund's net assets and a fairer basis
for calculating the Adviser's compensation.
 
  Based on the foregoing considerations, on October 17, 1997, the board of
directors of the Fund, including the directors who are not interested persons
of the Fund or the Adviser voting separately as a class, unanimously voted to
approve the Amended Advisory Agreement and to recommend its approval to the
shareholders of the Fund.
 
  THE BOARD OF DIRECTORS UNANIMOUSLY RECOMMENDS A VOTE "FOR" APPROVAL OF THE
AMENDED AND RESTATED INVESTMENT ADVISORY AGREEMENT.
 
                                OTHER BUSINESS
 
  Management is not aware of any other matters that will come before the
meeting. If any other business should come before the meeting, however, your
proxy, if signed and returned, will give discretionary authority to the
persons designated in it to vote according to their best judgment.
 
                               OTHER INFORMATION
 
  THE ADMINISTRATOR. J.J.B. Hilliard, W.L. Lyons, Inc. serves as the Fund's
administrator (the "Administrator") under an administration agreement (the
"Administration Agreement") dated November 1, 1995. The Administrator
(together with its predecessors) has been engaged in the investment business
as a securities broker-dealer and investment adviser since 1854. It also
serves as administrator and investment adviser to Hilliard-Lyons Government
Fund, Inc., a money market mutual fund, and Hilliard Lyons Growth Fund, Inc.,
an open-end mutual fund, and is a wholly-owned subsidiary of Hilliard-Lyons,
Inc. Its principal address is Hilliard Lyons Center, Louisville, Kentucky
40202.
 
  Under the terms of the Administration Agreement, the Administrator provides
all management and administrative services required in connection with the
operation of the Fund not required to be provided by the Adviser pursuant to
the Current Advisory Agreement, as well as the necessary office facilities,
equipment and personnel to perform such services. For its services during
1997, the Administrator received from the Fund a quarterly fee at annual rates
of 0.25 of 1% of the Fund's average weekly net assets up to $100 million, 0.20
of 1% of the Fund's average weekly net assets from $100 million to $1.0
billion, 0.10 of 1% of average weekly net assets from $1.0 billion to $1.5
billion and 0.06 of 1% of average weekly net assets in excess of $1.5 billion.
 
                                       9
<PAGE>
 
Effective on January 1, 1998, the Administration Agreement was amended to
provide for an annual rate of 0.10 of 1% of average weekly net assets in
excess of $1.0 billion. The total administrative fee paid by the Fund to the
Administrator for 1997 was $2,997,616.
 
  The Administration Agreement provides that the Administrator shall not be
liable to the Fund or its shareholders for any loss suffered as a consequence
of any act or omission of the Administrator in connection with the agreement
except by reason of its willful misfeasance, bad faith or gross negligence in
the performance of its duties or by reason of reckless disregard of its
obligations under the agreement.
 
  Unless earlier terminated as described below, the Administration Agreement
continues from year to year, if approved annually (i) by a majority of the
directors of the Fund who are not interested persons of the Fund or the
Administrator and (ii) by either the board of directors of the Fund or the
holders of a majority of the outstanding shares of the Fund as defined in the
1940 Act. The Administration Agreement may be terminated without penalty on 60
days' written notice by any party thereto or by a vote of the shareholders of
the Fund. At a meeting held on October 17, 1997, the board of directors of the
Fund, including all of the directors who are not interested persons of the
Fund or the Administrator in attendance at the meeting voting separately as a
class, voted to approve the continuation of the Administration Agreement
(amended as described above to modify the annual rates used to calculate the
administrative fee) for a twelve-month period commencing November 1, 1997. If
the Amended Advisory Agreement is approved by the shareholders of the Fund at
the annual meeting, the Fund will also enter into an amended Administration
Agreement, to become effective on May 1, 1998 and extend through April 30,
2000, in order to use the same base amount to calculate the Administrator's
administrative fee that is used to calculate the Adviser's management fee. See
"Approval of Amended and Restated Investment Advisory Agreement--Amended
Advisory Agreement."
 
  OFFICERS OF THE FUND. As noted above under "Election of Directors," Mr.
Hansen is chairman of the Fund. The name, positions with the Fund, principal
occupation during the past five years, age at February 1, 1998 and address of
each other executive officer of the Fund is set forth below. The officers are
elected at the annual meeting of the board of directors.
 
  CALVIN J. PEDERSEN, President and Chief Executive Officer, since March 1994
 
    President, Phoenix Duff & Phelps Corporation since November 1995;
    President, Duff & Phelps Corporation, 1993-November 1995 (Senior Vice
    President, 1986-1988 and Executive Vice President, 1989-1993);
    Executive Vice President and Director, Duff & Phelps Investment
    Management Co. since 1989 (Senior Vice President, 1986-1988); President
    and Chief Executive Officer, Duff & Phelps Utilities Tax-Free Income
    Inc. and Duff & Phelps Utility and Corporate Bond Trust Inc.;
    director/trustee, Phoenix group of funds; age 56; 55 East Monroe
    Street, Chicago, Illinois 60603.
 
  T. BROOKS BEITTEL, Secretary, Treasurer and Senior Vice President, since
  January 1995
 
    Senior Vice President, Duff & Phelps Investment Management Co. since
    1993 (Vice President 1987-1993); age 47; 55 East Monroe Street,
    Chicago, Illinois 60603.
 
  NATHAN I. PARTAIN, Senior Vice President, Chief Investment Officer and
  Assistant Secretary, since January 1998 (Senior Vice President and
  Assistant Secretary, January 1997-January 1998)
 
    Executive Vice President, Duff & Phelps Investment Management Co. since
    January 1997; Director of Utility Research, Phoenix Duff & Phelps
    Corporation, 1989-1996 (Director of Equity Research, 1993- 1996 and
    Director of Fixed Income Research, 1993); director, Otter Tail Power
    Company; age 41, 55 East Monroe Street, Chicago, Illinois 60603.
 
                                      10
<PAGE>
 
  MICHAEL SCHATT, Vice President, since January 1997
 
    Senior Vice President, Duff & Phelps Investment Management Co. since
    January 1997; Managing Director, Phoenix Duff & Phelps Corporation,
    1994-1996; Self-employed consultant, 1994; Director of Real Estate
    Advisory Practice, Coopers & Lybrand, 1990-1994; age 50; 55 East Monroe
    Street, Chicago, Illinois 60603.
 
  JOSEPH C. CURRY, JR., Vice President, since April 1988
 
    Senior Vice President, J.J.B. Hilliard, W.L. Lyons, Inc. since 1994
    (Vice President 1982-1994); Vice President Hilliard Lyons Trust
    Company; President and Director, Hilliard-Lyons Government Fund, Inc.;
    Vice President, Treasurer and Secretary, Hilliard Lyons Growth Fund,
    Inc.; age 53; Hilliard Lyons Center, Louisville, Kentucky 40202.
 
  DIANNA P. WENGLER, Assistant Secretary, since April 1988
 
    Vice President, J.J.B. Hilliard, W.L. Lyons, Inc. since 1990; Vice
    President and Treasurer, Hilliard-Lyons Government Fund, Inc.; Vice
    President, Hilliard Lyons Growth Fund, Inc.; age 37; Hilliard Lyons
    Center, Louisville, Kentucky 40202.
 
  PORTFOLIO TRANSACTIONS. The Adviser has discretion to select brokers and
dealers to execute portfolio transactions initiated by the Adviser and to
select the markets in which such transactions are to be executed. In executing
portfolio transactions and selecting brokers or dealers, the primary
responsibility of the Adviser is to seek the best combination of net price and
execution for the Fund. The Fund ordinarily purchases securities in the
primary markets, and in assessing the best net price and execution available
to the Fund, the Adviser considers all factors it deems relevant, including
the breadth of the market in the security, the price of the security, the
financial condition and execution capability of the broker or dealer and the
reasonableness of the commission, if any (for the specific transaction and on
a continuing basis).
 
  In selecting brokers or dealers to execute particular transactions and in
evaluating the best net price and execution available, the Adviser is
authorized to consider "brokerage and research services" (as those terms are
defined in Section 28(e) of the Securities Exchange Act of 1934), statistical
quotations, specifically the quotations necessary to determine the Fund's net
asset value, and other information provided to the Fund and/or the Adviser (or
their affiliates). The Adviser is also authorized to cause the Fund to pay to
a broker or dealer who provides such brokerage and research services a
commission for executing a portfolio transaction which is in excess of the
amount of commission another broker or dealer would have charged for effecting
that transaction. The Adviser must determine in good faith, however, that such
commission was reasonable in relation to the value of the brokerage and
research services provided, viewed in terms of that particular transaction or
in terms of all the accounts over which the Adviser exercises investment
discretion. The Adviser does not engage brokers whose commissions it believes
to be unreasonable in relation to services provided. It is possible that
certain of the services received by the Adviser attributable to a particular
transaction will benefit one or more other accounts for which investment
discretion is exercised by the Adviser.
 
  The Current Advisory Agreement requires the Adviser to provide fair and
equitable treatment to the Fund in the selection of portfolio investments and
the allocation of investment opportunities between the Fund and the Adviser's
other investment management clients, but does not obligate the Adviser to give
the Fund exclusive or preferential treatment. It is likely that from time to
time the Adviser may make similar investment decisions for
 
                                      11
<PAGE>
 
the Fund and its other clients. In some cases, the simultaneous purchase or
sale of the same security by the Fund and another client of the Adviser could
have a detrimental effect on the price or volume of the security to be
purchased or sold, as far as the Fund is concerned. In other cases,
coordination with transactions for other clients and the ability to
participate in volume transactions could benefit the Fund.
 
  Although the Fund purchases securities for investment income or capital
appreciation, or both, and not for short-term trading profits, it may dispose
of securities without regard to the time they have been held when such action
appears advisable to the Adviser.
 
  During 1997, the Fund paid brokerage commissions aggregating $7,462,774 in
connection with its portfolio transactions, not including the gross
underwriting spread on securities purchased in underwritten public offerings
or the spread in over-the-counter transactions with firms acting as principal.
The Administrator received $39,022 or approximately 0.5% of total brokerage
commissions in 1997 for effecting transactions involving 0.4%of the aggregate
dollar amount of transactions in which the Fund paid brokerage commissions.
 
  SHAREHOLDERS. The following table shows shares of common stock of the Fund
as to which each director, and all directors and officers of the Fund as a
group, had or shared power over voting or disposition at December 31, 1997.
The directors and officers of the Fund owned no shares of the Fund's
remarketed preferred stock. Shares are held with sole power over voting and
disposition except as noted. The shares of common stock held by each of the
persons listed below and by all directors and officers as a group represented
less than 1% of the outstanding common stock.
 
<TABLE>
<CAPTION>
                                                                       SHARES OF
                                                                        COMMON
                                                                         STOCK
                                                                       ---------
      <S>                                                              <C>
      Wallace B. Behnke...............................................    2,441
      Harry J. Bruce..................................................   21,095
      Franklin A. Cole(1)(2)..........................................   28,307
      Gordon B. Davidson(2)...........................................   18,000
      Robert J. Day...................................................   14,600
      Claire V. Hansen(2).............................................   28,810
      Francis E. Jeffries(2)..........................................   75,244
      Nancy Lampton(1)(2).............................................    5,768
      Beryl W. Sprinkel...............................................      300
      Directors and officers as a group (15 persons)(1)(2)............  213,919
</TABLE>
- - --------
(1) Mr. Cole and Ms. Lampton had shared power to vote and/or dispose of 28,307
    and 2,500, respectively, of the shares listed. The directors and officers
    had shared power to vote and/or dispose of 43,669 of the shares listed as
    owned by the directors and officers as a group.
(2) Messrs. Cole, Davidson, Hansen and Jeffries and Ms. Lampton disclaim
    beneficial ownership of 25,043, 7,000, 10,010, 5,434 and 2,500,
    respectively, of the shares listed. The directors and officers disclaim
    beneficial ownership of 53,910, in the aggregate, of the shares listed as
    owned by the directors and officers as a group.
 
  At February 28, 1998, no person was known by the Fund to own beneficially 5%
or more of the outstanding shares of the Fund (as determined in accordance
with Rule 13d-3 under the Securities Exchange Act of 1934).
 
                                      12
<PAGE>
 
  SECTION 16(A) BENEFICIAL OWNERSHIP REPORTING COMPLIANCE. Section 16(a) of
the Securities Exchange Act of 1934 requires the Fund's officers and
directors, and persons who own more than 10% of a registered class of the
Fund's equity securities, to file reports of ownership and changes in
ownership with the Securities and Exchange Commission and the New York Stock
Exchange. Officers, directors and greater than 10% shareholders are required
by Securities and Exchange Commission regulations to furnish the Fund with
copies of all Section 16(a) forms they file. Based solely on review of the
copies of such forms furnished to the Fund, or written representations that no
Forms 5 were required, the Fund believes that during 1997 all Section 16(a)
filing requirements applicable to its officers, directors and greater than 10%
beneficial owners were complied with.
 
  SOLICITATION OF PROXIES. Proxies will be solicited by mail. Proxies may be
solicited by Fund personnel personally or by telephone, telegraph or mail, but
such persons will not be specially compensated for such services. The Fund
will inquire of any record holder known to be a broker, dealer, bank or other
nominee as to whether other persons are the beneficial owners of shares held
of record by such persons. If so, the Fund will supply additional copies of
solicitation materials for forwarding to beneficial owners, and will make
reimbursement for reasonable out-of-pocket costs. In addition, the Fund may
hire a proxy solicitor to assist the Fund in the solicitation of proxies at a
fee of approximately $15,000, plus out-of-pocket expenses.
 
  SHAREHOLDER PROPOSALS. Any shareholder proposal to be considered for
inclusion in the Fund's proxy statement and form of proxy for the 1998 annual
meeting of shareholders should be received by the Secretary of the Fund no
later than November 10, 1998.
 
  ANNUAL AND SEMI-ANNUAL REPORTS. The Fund will provide without charge to any
shareholder who so requests, a copy of the Fund's annual report for the year
ended December 31, 1997 and the Fund's semi-annual report for the six months
ended June 30, 1997. Requests for copies of such reports should be directed to
the Administrator at (800) 680-4367 (toll-free).
 
  GENERAL. A list of shareholders entitled to be present and vote at the
annual meeting will be available at the offices of the Fund, 55 East Monroe
Street, Chicago, Illinois 60603, for inspection by any shareholder during
regular business hours for ten days prior to the date of the meeting.
 
  Failure of a quorum to be present at the annual meeting will necessitate
adjournment and will give rise to additional expense.
 
  ALL SHAREHOLDERS ARE REQUESTED TO SIGN, DATE AND MAIL PROXIES PROMPTLY IN
THE RETURN ENVELOPE PROVIDED.
 
March 10, 1998
 
                                      13
<PAGE>
 
                                                                   ATTACHMENT A
 
              AMENDED AND RESTATED INVESTMENT ADVISORY AGREEMENT
 
  DUFF & PHELPS UTILITIES INCOME INC., a Maryland corporation registered under
the Investment Company Act of 1940 ("1940 Act") as a closed-end diversified
management investment company ("Fund"), and DUFF & PHELPS INVESTMENT
MANAGEMENT CO., an Illinois corporation registered under the Investment
Advisers Act of 1940 as an investment adviser ("Manager"), agree that:
 
    1. ENGAGEMENT OF MANAGER. Manager shall manage the investment and
  reinvestment of the assets of Fund, subject to the supervision of the board
  of directors of Fund, for the period and on the terms set forth in this
  Advisory Agreement. Manager shall give due consideration to the investment
  policies and restrictions and the other statements concerning Fund in
  Fund's charter, bylaws, and registration statements under the 1940 Act and
  the Securities Act of 1933 ("1933 Act"), and to the provisions of the
  Internal Revenue Code applicable to Fund as a regulated investment company.
  Manager shall be deemed for all purposes to be an independent contractor
  and not an agent of Fund, and unless otherwise expressly provided or
  authorized, shall have no authority to act for or represent Fund in any
  way.
 
    Manager is authorized to make the decisions to buy and sell securities of
  Fund, to place Fund's portfolio transactions with securities broker-
  dealers, and to negotiate the terms of transactions, on behalf of Fund.
  Manager is authorized to exercise discretion within Fund's policy
  concerning allocation of its portfolio brokerage, as permitted by law,
  including but not limited to section 28(e) of the Securities Exchange Act
  of 1934, and in so doing shall not be required to make any reduction in its
  investment advisory fees.
 
    2. EXPENSES TO BE PAID BY MANAGER. Manager shall furnish, at its own
  expense, office space to Fund and all necessary office facilities,
  equipment and personnel for managing the assets of Fund. Manager shall also
  assume and pay all other expenses incurred by it in connection with
  managing the assets of Fund, except that Manager shall not assume and pay
  any expenses that J.J.B. Hilliard, W.L. Lyons, Inc. ("Hilliard/Lyons") is
  obligated to pay under the Administration Agreement ("Administration
  Agreement") between Fund and Hilliard/Lyons.
 
    3. EXPENSES TO BE PAID BY FUND. Fund shall pay all charges of
  depositories, custodians and other agencies for the safekeeping and
  servicing of its cash, securities and other property and of its transfer
  agents and registrars and its dividend disbursing, dividend reinvestment,
  redemption and remarketing agents, if any, including any charges for
  bookkeeping services provided by Fund's custodian; all charges of legal
  counsel and of independent auditors; all compensation of directors other
  than those affiliated with Manager, Duff & Phelps Inc. or Hilliard/Lyons
  and all expenses incurred in connection with their services to Fund; all
  expenses of publication of notices and reports to its shareholders; all
  expenses of proxy solicitations of Fund or its board of directors; all
  expenses of printing of Fund's prospectus and registration statement and
  mailing copies of the prospectus; all taxes and corporate fees payable to
  federal, state or other governmental agencies, domestic or foreign; all
  stamp or other transfer taxes; all expenses of printing and mailing
  certificates for shares of Fund; all expenses of bond and insurance
  coverage required by law or deemed advisable by Fund's board of directors;
  all expenses of maintaining the registration of Fund under the 1940 Act;
  all interest expenses; and all fees, dues and expenses incurred by Fund in
  connection with membership in any trade association or other investment
  company organization. In addition to the payment of expenses, Fund shall
  also pay all brokers' commissions and other charges relative to the
  purchase and sale of portfolio securities.
 
    4. COMPENSATION OF MANAGER. For the services to be rendered and the
  charges and expenses to be assumed and to be paid by Manager hereunder,
  Fund shall pay Manager a quarterly fee at an annual rate of 0.60 of 1% of
  the Average Weekly Net Assets of the Fund which does not exceed $1.5
  billion and 0.50 of 1% of Average Weekly Net Assets in excess of $1.5
  billion, as determined by valuations made as of the last business day of
  each calendar week ending during the quarter, which fee shall be payable on
  the first business day of the next quarter. For purposes of the foregoing
  calculation, Average Weekly Net Assets shall be equal to the sum of (i) the
  aggregate net asset value of the Fund's common stock, (ii) the aggregate
  liquidation preference of the Fund's preferred stock and (iii) the
  aggregate proceeds to the Fund of commercial paper issued by the Fund.
<PAGE>
 
    5. SERVICES OF MANAGER NOT EXCLUSIVE. The services of Manager to Fund
  hereunder are not to be deemed exclusive, and Manager shall be free to
  render similar services to others so long as its services under this
  Advisory Agreement are not impaired by such other activities.
 
    6. LIMITATION OF LIABILITY OF MANAGER. Manager shall not be liable to
  Fund or its shareholders for any loss suffered by Fund or its shareholders
  from or as a consequence of any act or omission of Manager, or of any of
  the directors, officers, employees or agents of Manager, in connection with
  or pursuant to this Advisory Agreement, except by reason of willful
  misfeasance, bad faith or gross negligence on the part of Manager in
  performance of its duties or by reason of reckless disregard by Manager of
  its obligations and duties under this Advisory Agreement.
 
    7. DURATION AND RENEWAL. Unless terminated as provided in section 8, this
  Advisory Agreement shall continue in effect until April 30, 2000, and
  thereafter from year to year only so long as such continuance is
  specifically approved at least annually (a) by a majority of those
  directors who are not "interested persons" (as defined in section 2(a)(19)
  of the 1940 Act) of Fund or of Manager, voting in person at a meeting
  called for the purpose of voting on such approval, and (b) by either the
  board of directors of Fund or vote of the holders of a "majority of the
  outstanding shares of Fund" (which term as used throughout this Advisory
  Agreement shall be construed in accordance with the definition of "vote of
  a majority of the outstanding voting securities of a company" in section
  2(a)(42) of the 1940 Act).
 
    8. TERMINATION. This Advisory Agreement may be terminated at any time,
  without payment of any penalty, by the board of directors of Fund, or by a
  vote of the holders of a majority of the outstanding shares of Fund, upon
  60 days' written notice to Manager. This Advisory Agreement may be
  terminated by Manager at any time upon 60 days' written notice to Fund.
  This Advisory Agreement shall terminate automatically in the event of its
  assignment (as defined in section 2(a)(4) of the 1940 Act).
 
    9. AMENDMENT. This Advisory Agreement may not be amended without the
  affirmative vote (a) of a majority of those directors who are not
  "interested persons" of Fund or of Manager, voting in person at a meeting
  called for the purpose of voting on such approval, and (b) of the holders
  of a majority of the outstanding shares of Fund.
 
    10. USE OF MANAGER'S NAME. The Fund may use the name "Duff & Phelps
  Utilities Income Inc." or any other name derived from the name "Duff &
  Phelps" only for so long as this Advisory Agreement or any extension,
  renewal or amendment hereof remains in effect, including any similar
  agreement with any organization which shall have succeeded to the business
  of the Manager as investment adviser. At such time as this Advisory
  Agreement or any extension, renewal or amendment hereof, or such other
  similar agreement shall no longer be in effect, the Fund will (by corporate
  action, if necessary) cease to use any name derived from the name "Duff &
  Phelps," any name similar thereto or any other name indicating that it is
  advised by or otherwise connected with the Manager, or with any
  organization which shall have succeeded to the Manager's business as
  investment adviser.
 
                                          Duff & Phelps Utilities Income Inc.
 
 
                                          By: _________________________________
                                             Its ______________________________
 
                                          Duff & Phelps Investment Management
                                           Co.
 
 
                                          By: _________________________________
                                             Its ______________________________
 
Dated as of May  , 1998
 
                                       2
<PAGE>
 
                      DUFF & PHELPS UTILITIES INCOME INC.

             PROXY SOLICITED BY MANAGEMENT FROM COMMON SHAREHOLDERS
                    FOR MEETING TO BE HELD ON APRIL 29, 1998

     Robert J. Day, Gordon B. Davidson and Nancy Lampton or any of them, each
with full power of substitution, are authorized to vote all shares of common
stock of Duff & Phelps Utilities Income Inc. owned by the undersigned at the
meeting of shareholders to be held April 29, 1998, and at any adjournment of the
meeting. They shall vote in accordance with the instructions set forth on the
reverse side hereof.

     If no specific instructions are provided, this proxy will be voted "FOR"
proposals 1, 2 and 3 and in the discretion of the proxies upon such other
business as may properly come before the meeting.

                                     (Continued and to be signed on other side.)



                                 DUFF & PHELPS UTILITIES INCOME INC.
                                 P.O. BOX 11435
                                 NEW YORK, NY 10203-0435

Your Board of Directors unanimously recommends a vote "FOR" each of the
following proposals.

1.   Election of Directors:

FOR all nominees____  WITHHOLD AUTHORITY to vote____  *EXCEPTIONS____
listed below          for all nominees listed below.

Nominees: Franklin A. Cole and Francis E. Jeffries
(INSTRUCTIONS: To withhold authority to vote for either nominee, mark
the "Exceptions" box and write the name of that nominee in the space provided
below.)

*Exceptions ___________________________________________________________________

2.   Ratification of the selection of Arthur Andersen LLP as independent public
     accountants of the Fund.

FOR____        AGAINST ____         ABSTAIN____

3.   Approval of the amended and restated investment advisory agreement with 
     Duff & Phelps Investment Management Co.

FOR____        AGAINST ____         ABSTAIN____


                                    Change of Address or
                                    Comments Mark Here ____

                              IMPORTANT: Please sign exactly as your name or
                              names appear on the shareholder records of the
                              Fund. If you sign as agent or in any other
                              representative capacity, please state the capacity
                              in which you sign. Where there is more than one
                              owner, each should sign.

                              Dated: __________________________, 1998

                              _______________________________________

                              _______________________________________
                                 (Signature(s) of Shareholder(s))

                              Votes must be indicated (x) in Black or Blue ink.

Please Vote, Date, and Sign and Return Promptly in the Enclosed Envelope
<PAGE>
 
                      DUFF & PHELPS UTILITIES INCOME INC.

           PROXY SOLICITED BY MANAGEMENT FROM PREFERRED SHAREHOLDERS
                    FOR MEETING TO BE HELD ON APRIL 29, 1998

     Robert J. Day, Gordon B. Davidson and Nancy Lampton or any of them, each
with full power of substitution, are authorized to vote all shares of preferred
stock of Duff & Phelps Utilities Income Inc. owned by the undersigned at the
meeting of shareholders to be held April 29, 1998, and at any adjournment of the
meeting. They shall vote in accordance with the instructions set forth below.

     Your Board of Directors unanimously recommends a vote "FOR" each of the
following proposals.

     1.   Election of Director: Beryl W. Sprinkel

          FOR____             WITHHOLD____

     2.   Ratification of the selection of Arthur Andersen LLP as independent
          public accountants of the Fund.

          FOR____             WITHHOLD____              ABSTAIN____

     3.   Approval of the amended and restated investment advisory agreement 
          with Duff & Phelps Investment Management Co.

          FOR____             WITHHOLD____              ABSTAIN____


     If no specific instructions are provided, this proxy will be voted "FOR"
proposals 1, 2 and 3 and in the discretion of the proxies upon such other
business as may properly come before the meeting.

                                     (Continued and to be signed on other side.)

Dated                         , 1998 (please fill in, sign and date this proxy
and mail it in the envelope provided.)

                              _______________________________________

                              _______________________________________
                                  (Signature(s) of Shareholder(s))

                              IMPORTANT: Please sign exactly as your name or
                              names appear on the shareholder records of the
                              Fund. If you sign as agent or in any other
                              representative capacity, please state the capacity
                              in which you sign. Where there is more than one
                              owner, each should sign.


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