SMITH BARNEY INCOME FUNDS
PRE 14A, 1999-05-11
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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:

[X]  Preliminary Proxy Statement

[ ]  Confidential, for Use of Commission Only (as permitted by
     Rule 14a-6(e)(2))

[ ]  Definitive Proxy Statement

[ ]  Definitive Additional Materials

[ ]  Soliciting Material Pursuant to Rule 14a-11(c) or Rule 14a-12

                           SMITH BARNEY INCOME FUNDS
- --------------------------------------------------------------------------------
                (Name of Registrant as Specified In Its Charter)
- --------------------------------------------------------------------------------
     (Name of Person(s) filing Proxy Statement, if other than 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)(1) and 0-11.

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

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

     (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:

     (5)  Total fee paid:

[ ]  Fee paid previously with preliminary materials.
<PAGE>
 
[ ]  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:

     (2)  Form, Schedule or Registration Statement No.:

     (3)  Filing Party:

     (4)  Date Filed:

                                      -2-
<PAGE>
 
May __, 1999

Dear Valued Premium Total Return Fund Shareholder:

I am writing to inform you about some important changes that have been approved 
by the Board of Trustees of the Smith Barney Income Funds regarding the 
management of the Smith Barney Premium Total Return Fund ("Fund").

I want to assure you that the objective of the Fund remains constant:  current 
income and secondarily, capital appreciation.  The Fund is designed to help 
investors gain the advantages of both income-generating securities and overall 
stock market participation with less downside risk.  That was one of the reasons
why you originally invested in the Fund.

Over time, the financial markets have altered the Fund's areas of opportunities.
In particular, we no longer see a sufficient amount of dividend-paying stocks 
that have been part of the Fund's central strategy since its inception.  In 
fact, as you may have heard on the news or read recently in the financial press,
the average dividend yield offered by the stocks in the S&P 500 Index is now 
less than 1.4%.  This change in the income-generating capability of many 
large-company stocks has led us to carefully re-evaluate the Fund's core 
investment strategy over the past several quarters.

Because of this and other important considerations, the Board of Trustees of
Smith Barney Income Funds voted to appoint Salomon Brothers Asset Management as
the Fund's interim sub-adviser for a period of up to 120 days. In addition, the
Trustees approved, and are today presenting to shareholders, a proposal that
Salomon Brothers Asset Management continue as the Fund's sub-adviser after the
interim period pursuant to a sub-advisory agreement that would run for two years
from the date of shareholder approval and from year to year thereafter. Boston
Partners Asset Management, L.P., the Fund's previous sub-adviser is no longer
associated with the Fund. Ross S. Margolies, a Managing Director and Chief
Investment Officer of Salomon Brothers Asset Management, has been designated by
Salomon Brothers Asset Management to serve as the Fund's interim portfolio
manager, effective April 26, 1999.

A shareholder meeting regarding the proposed change in the Fund's sub-adviser is
scheduled to take place on or about Wednesday, June 30, 1999. I ask that you
take a few moments to review the accompanying proxy materials carefully. If you
do not plan to attend the shareholder meeting, please complete the proxy card
and return it as soon as possible in the postage-paid envelope.

We believe that the proposed changes are appropriate for the Fund and represent
a meaningful refocusing of the Fund's direction. We consider Ross S. Margolies
as one of the premier managers in the Citigroup family of asset management
businesses.

As noted previously, the Fund will continue to be managed to achieve its stated 
objective of income and, secondarily, capital appreciation.  Ross S. Margolies 
and his portfolio management team bring substantial talent and capability to the
Fund. This means that you and your Smith Barney Financial Consultant should have
the added confidence that risk and reward will be balanced to provide you with 
competitive total returns in the future.

And while no guarantees can be given, I think you will agree with me that these 
proposed Fund changes bode well for its future.  Thank you for taking the time 
to read this letter and the accompanying proxy satement. We look forward to
helping you pursue your financial goals in the years ahead.

Sincerely,



Heath B. McLendon

Chairman
<PAGE>
 
                     SMITH BARNEY PREMIUM TOTAL RETURN FUND
                              388 Greenwich Street
                            New York, New York 10013
                                        
                   NOTICE OF SPECIAL MEETING OF SHAREHOLDERS

          Please take notice that a Special Meeting of shareholders ("Special
Meeting") of Smith Barney Premium Total Return Fund (the "Fund") (a series of
Smith Barney Income Funds, the "Trust") will be held at the offices of SSBC Fund
Management Inc. ("SSBC"), 388 Greenwich Street, Conference Room __, New York,
New York 10013, on _______________, 1999, at ____ a.m./p.m., Eastern time, for
the following purpose:

          (1)  To approve or disapprove a new sub-investment advisory agreement
               among the Fund, SSBC and Salomon Brothers Asset Management Inc.

          The appointed proxies, in their discretion, will vote on any other
business as may properly come before the Special Meeting or any adjournments
thereof.

          Holders of record of shares of the Fund at the close of business on
May 7, 1999 are entitled to notice of and to vote at the Special Meeting and at
any adjournments thereof.

          In the event that the necessary quorum to transact business or the
vote required to approve or reject any proposal is not obtained at the Special
Meeting, the persons named as proxies may propose one or more adjournments of
the Special Meeting in accordance with applicable law, to permit further
solicitation of proxies.  Any such adjournment will require the affirmative vote
of the holders of a majority of the Fund's shares present in person or by proxy
at the Special Meeting.  The persons named as proxies will vote in favor of such
adjournment those proxies which they are entitled to vote in favor and will vote
against any such adjournment those proxies to be voted against that proposal.

                              By order of Board of Trustees,


                                    Christina T. Sydor

                                    Secretary

May __, 1999

SHAREHOLDERS WHO DO NOT EXPECT TO ATTEND THE SPECIAL MEETING ARE REQUESTED TO
COMPLETE, SIGN, DATE AND RETURN THE PROXY CARD IN THE ENCLOSED ENVELOPE, WHICH
NEEDS NO POSTAGE IF MAILED IN THE CONTINENTAL UNITED STATES.  INSTRUCTIONS FOR
THE PROPER EXECUTION OF PROXY CARDS ARE SET FORTH ON THE FOLLOWING PAGE.  IT IS
IMPORTANT THAT PROXIES BE RETURNED PROMPTLY.
<PAGE>
 
                      INSTRUCTIONS FOR SIGNING PROXY CARDS

     The following general rules for signing proxy cards may be of assistance to
you and avoid the time and expense to the Fund involved in validating your vote
if you fail to sign your proxy card properly.

     1.  Individual Accounts: Sign your name exactly as it appears in the
     registration on the proxy card.

     2.  Joint Accounts: Either party may sign, but the name of the party
     signing should conform exactly to the name shown in the registration on the
     proxy card.

     3.  All Other Accounts: The capacity of the individual signing the proxy
     card should be indicated unless it is reflected in the form of
     registration. For example:

Registration                                     Valid Signature
- ------------                                     ---------------
Corporate Accounts                          
  (1)  ABC Corp................................  ABC Corp. 
  (2)  ABC Corp................................  John Doe, Treasurer
  (3)  ABC Corp................................  
       c/o John Doe, Treasurer.................  John Doe
  (4)  ABC Corp. Profit Sharing Plan...........  John Doe, Trustee
                                            
Trust Accounts                              
  (1)  ABC Trust...............................  Jane B. Doe, Trustee
  (2)  Jane B. Doe, Trustee                 
       u/t/d 12/28/78..........................  Jane B. Doe
                                            
Custodial or Estate Accounts                
  (1)  John B. Smith, Cust.                 
       f/b/o John B. Smith, Jr. UGMA...........  John B. Smith
  (2)  Estate of John B. Smith.................  John B. Smith Jr., Executor
<PAGE>
 
                     SMITH BARNEY PREMIUM TOTAL RETURN FUND
                              388 Greenwich Street
                            New York, New York 10013

                                PROXY STATEMENT

                    FOR THE SPECIAL MEETING OF SHAREHOLDERS

                         To Be Held On __________, 1999

General

          This Proxy Statement is furnished in connection with the solicitation
of proxies by the Board of Trustees (the "Board") of Smith Barney Premium Total
Return Fund (the "Fund") (a series of Smith Barney Income Funds, the "Trust")
for use at the Special Meeting of shareholders of the Fund, to be held at the
offices of SSBC Fund Management Inc., 388 Greenwich Street, Conference Room ___,
New York, New York 10013, on __________, 1999 at ____ a.m./p.m., Eastern time,
and at any and all adjournments thereof (the "Special Meeting").

          This Proxy Statement, the Notice of Special Meeting and proxy card are
first being mailed to shareholders on or about May ___, 1999 or as soon as
practicable thereafter.  Any proxy may be revoked at any time prior to exercise
thereof by giving written notice to the Secretary of the Trust at the address
indicated above or by voting in person at the Special Meeting.  All properly
executed proxies received in time for the Special Meeting will be voted as
specified in the proxy or, if no specification is made, in favor of the proposal
referred to in the Proxy Statement.

          Proxy solicitations will be made primarily by mail, but proxy
solicitations also may be made by telephone, telegraph or personal interviews
conducted by officers and employees of the Trust; Salomon Smith Barney Inc.,
("Salomon Smith Barney") a dealer of shares of the Fund; SSBC Fund Management
Inc., ("SSBC" or the "Manager"), the investment adviser of the Fund and/or First
Data Investor Services Group, Inc. ("First Data"), transfer agent of the Fund.
Such representatives and employees will not receive additional compensation for
solicitation activities. Salomon Smith Barney has retained the services of First
Data to assist in the solicitation of proxies. The aggregate cost of
solicitation of the shareholders of the Fund is expected to be approximately
$325,000. The costs of the proxy solicitation and expenses incurred in
connection with the preparation of this Proxy Statement and its enclosures will
be borne by the Fund. The Fund also will reimburse expenses of forwarding
solicitation materials to beneficial owners of shares of the Fund.

          If the Fund records votes by telephone, it will use procedures
designed to authenticate shareholders' identities, to allow shareholders to
authorize the voting of their shares in 
<PAGE>
 
accordance with their instructions, and to confirm that their instructions have
been properly recorded. Proxies voted by telephone may be revoked at any time
before they are voted in the same manner that proxies voted by mail may be
revoked.

          The presence at the Special Meeting, in person or by proxy, of the
holders of a majority of the outstanding shares of the Fund entitled to vote
shall be necessary and sufficient to constitute a quorum for the transaction of
business at the Special Meeting.  In the event that the necessary quorum to
transact business or the vote required to approve or reject any proposal is not
obtained at the Special Meeting, the persons named as proxies may propose one or
more adjournments of the Special Meeting in accordance with applicable law to
permit further solicitation of proxies.

          In determining whether to adjourn the Special Meeting, the following
factors may be considered:  the nature of the proposal that is the subject of
the Special Meeting, the percentage of votes actually cast, the percentage of
negative votes actually cast, the nature of any further solicitation and the
information to be provided to shareholders with respect to the reasons for the
solicitation.  Any such adjournment will require the affirmative vote of a
majority of the Fund's shares present in person or by proxy at the Special
Meeting.  The persons named as proxies will vote in favor of such adjournment
those proxies which they are entitled to vote in favor of the proposal and will
vote against any such adjournment those proxies to be voted against the
proposal.  For purposes of determining the presence of a quorum for transacting
business at the Special Meeting, abstentions and broker "non-votes" will be
treated as shares that are present but which have not been voted.  Broker non-
votes are proxies received from brokers or nominees when the broker or nominee
has neither received instructions from the beneficial owner or other persons
entitled to vote nor has discretionary power to vote on a particular matter.
Accordingly, shareholders are urged to forward their voting instructions
promptly.

          There is only one proposal in this Proxy Statement (the "Proposal"),
and the Fund does not anticipate that any other proposals will be presented.
However, should additional proposals be properly presented, a shareholder vote
may be taken on one or more proposals prior to any adjournment if sufficient
votes have been received for approval.

          The Proposal requires the affirmative vote of a "majority of the
outstanding voting securities" of the Fund.  The term "majority of the
outstanding voting securities" as defined in the Investment Company Act of 1940,
as amended (the "1940 Act"), and as used in this Proxy Statement, means:  the
affirmative vote of the lesser of (1) 67% of the voting securities of the Fund
present at the meeting if more than 50% of 

                                      -2-
<PAGE>
 
the outstanding shares of the Fund are present in person or by proxy or (2) more
than 50% of the outstanding shares of the Fund.

          Abstentions and broker non-votes will have the effect of a "no" vote
for the Proposal, which requires the approval of a specified percentage of the
outstanding shares of the Fund, if such vote is determined on the basis of
obtaining the affirmative vote of more than 50% of the outstanding shares of the
Fund.  Abstentions and broker non-votes will not constitute "yes" or "no" votes,
and will be disregarded in determining the voting securities "present" if such
vote is determined on the basis of the affirmative vote of 67% of the voting
securities of the Fund present at the Special Meeting.

          The Board of the Trust has fixed the close of business on May 7, 1999
as the record date (the "Record Date") for the determination of shareholders of
the Fund entitled to notice of and to vote at the Special Meeting.  Each share
is entitled to one vote and any fractional share is entitled to a fractional
vote at the Special Meeting.

          As of the close of business on the Record Date, 159,905,391.079 shares
of the Fund were issued and outstanding. As of the Record Date, to the best
knowledge of the Board and the Fund, no single shareholder or "group" (as that
term is used in Section 13(d) of the Securities Exchange Act of 1934) owned
beneficially or of record more than 5% of the outstanding shares of the Fund. As
of the Record Date, the officers and Board members of the Trust beneficially
owned less than 1% of the shares of the Fund.

          The Fund provides periodic reports to all of its shareholders which
highlight relevant information, including investment results and a review of
portfolio changes.  You may receive an additional copy of the most recent annual
report for the Fund and a copy of any more recent semiannual report, without
charge, by calling the Fund at (800) 451-2010 or by writing to the Fund, 388
Greenwich Street, New York, New York 10013.

                           PROPOSAL:  APPROVAL OF NEW
                    SUB-INVESTMENT ADVISORY AGREEMENT AMONG
           THE FUND, SSBC AND SALOMON BROTHERS ASSET MANAGEMENT INC.

Introduction

          The Board of Trustees of the Trust is proposing that shareholders
approve a new Sub-Investment Advisory Agreement (the "Sub-Advisory Agreement")
to be entered into among the Trust (on behalf of the Fund), SSBC and Salomon
Brothers Asset Management Inc. ("SaBAM"), an affiliate of SSBC. SSBC, located at
388 Greenwich Street, New York, New York 10013, serves as the current investment
adviser to the Fund.

                                      -3-
<PAGE>
 
          SaBAM is registered as an investment adviser with the Securities and
Exchange Commission under the Investment Advisers Act of 1940, as amended, and
is headquartered in New York.  As of March 31, 1999, SaBAM had $27.3 billion in
assets under management.

          At a meeting of the Board of Trustees of the Trust held on April 15,
1999, the Trustees approved the new Sub-Advisory Agreement subject to
shareholder approval.  The Trustees also approved an interim sub-advisory
agreement (the "Interim Agreement") appointing SaBAM as an interim sub-adviser,
and terminated the sub-advisory agreement (the "Prior Agreement") with Boston
Partners Asset Management, L.P. (the "Prior Sub-Adviser").  The Interim
Agreement commenced on April 26, 1999 and will terminate on the earlier of 120
days or the receipt of shareholder approval of the Sub-Advisory Agreement.  If
the 120 days expire without shareholder approval of the Sub-Advisory Agreement,
SSBC, as the Fund's investment adviser, would manage the Fund without the
assistance of a sub-adviser while the Board determines if additional action
would be appropriate.  Both the Interim Agreement and the Sub-Advisory Agreement
obligate SaBAM to provide services identical to the Prior Agreement.

          A form of Sub-Advisory Agreement is attached as Exhibit A and is
substantially similar to the Prior Agreement.  The Sub-Advisory Agreement
provides that SaBAM's fee will be paid by SSBC in an amount agreed to from time
to time by the parties, but not to exceed the fee paid to SSBC under its
investment advisory agreement with the Fund.

Board Consideration and Recommendation

          SSBC regularly reports to the Board of Trustees on the performance of
the Fund.  Since 1997, SSBC has expressed concerns to the Trustees relating to
the declining performance of the Fund.  For example, for the years ended
December 31, 1998 and December 31, 1997, the Fund had a total return of 5.64%
and 24.55%, respectively, for Class B shares (without sales charges).  During
this time, the U.S. stock market, as measured by the Standard & Poor's 500
Composite Stock Index (the "S&P 500"), had a total return of 28.6% and 33.1%,
respectively.

          At the March 19, 1999 meeting of the Board of Trustees, SSBC formally
stated to the Trustees that it was considering a proposal to change the Fund's
sub-adviser because of the Fund's recent performance history and the related
increase in shareholder redemptions. Due to these increasing concerns, a meeting
of the Board of Trustees was held on April 15, 1999 to consider SSBC's proposal
that the relationship with the Prior Sub-Adviser be terminated and that SaBAM be
appointed as sub-investment adviser to the Fund, subject to shareholder
approval. The Board also was asked to consider the Interim Agreement with SaBAM
as described above.

                                      -4-
<PAGE>
 
          At the April Board meeting, representatives of SSBC and SaBAM met in
person with the Trustees (including the non-interested Trustees) and described
the general terms of the Interim and Sub-Advisory Agreements, the anticipated
benefits for the Fund and SaBAM's proposed services to the Fund.  During the
course of their deliberations, the Trustees (including the non-interested
Trustees) considered a variety of factors, including:  (i) the nature, quality
and extent of services that the Prior Sub-Adviser had provided and that SaBAM
would provide to the Fund; (ii) the quality of investment personnel of SaBAM;
(iii) the financial resources and management style of SaBAM; (iv) the investment
record of SaBAM in managing similar asset classes; (v) the experience of SaBAM
in the area of fixed-income and equity investments and (vi) other information to
assure that SaBAM could furnish high quality services to the Fund.  The non-
interested Trustees also met separately to review the information provided by
SSBC and SaBAM representatives and were assisted in this review by their
independent legal counsel.

          After the consideration of the foregoing factors, the Trustees
(including the non-interested Trustees) approved both the Interim and new Sub-
Advisory Agreements for the Fund.

Description of Salomon Brothers Asset Management Inc.

          SaBAM provides discretionary and non-discretionary portfolio
management services to a wide variety of individual and institutional accounts,
including, but not limited to, banks or thrift institutions, retirement plans,
pension and profit-sharing trusts, estates, charitable organizations,
corporations, and other business entities, registered investment companies and
unregistered domestic and offshore funds.  As of March 31, 1999, SaBAM had
$27.3 billion in assets under management.

          SaBAM was organized as a Delaware corporation in 1987 and its
principal business address is 7 World Trade Center, New York, New York 10048.
SaBAM is an indirect wholly-owned subsidiary of Salomon Smith Barney Holdings
Inc. ("SSBH"), which is also located at 7 World Trade Center, New York, New York
10048.  SSBH is a wholly-owned subsidiary of Citigroup Inc., which is located at
1 Citicorp Center, 153 East 53rd Street, New York, New York 10028.

          The names, titles and principal occupations of the current directors
and executive officers of SaBAM are set forth below.  Except as indicated, the
business address of each individual is 7 World Trade Center, New York, New York
10048.

          Ross S. Margolies - The principal occupation of Mr. Margolies is to
serve as a Managing Director and Chief Investment Officer of SaBAM and Salomon
Brothers Inc.

                                      -5-
<PAGE>
 
          Peter J. Wilby - The principal occupation of Mr. Wilby is to serve as
a Managing Director of SaBAM and Salomon Brothers Inc.

          Heath B. McLendon (Chairman of the Trust) - The principal occupation
of Mr. McLendon is to serve as Chairman or Co-Chairman of investment companies
managed by affiliates of Citigroup Inc.; Managing Director of SaBAM; Director
and Chairman of SSBC; and Director of The Travelers Investment Management
Company.

          Vilas V. Gadkari - The principal occupation of Mr. Gadkari is to serve
as a Managing Director of SaBAM; Managing Director and Chief Investment Officer
of Salomon Brothers Asset Management Limited; Managing Director of Salomon
Brothers Inc.; and Managing Director of Salomon Brothers International Limited.

          Marcus A. Peckman - The principal occupation of Mr. Peckman is to
serve as a Director and Chief Financial Officer of SaBAM and a Director of
Salomon Brothers Inc.

          Jeffrey S. Scott - The principal occupation of Mr. Scott is to serve
as Chief Compliance Officer of SaBAM.

          Michael F. Rosenbaum - The principal occupation of Mr. Rosenbaum is to
serve as Chief Legal Officer of SaBAM, Salomon Brothers Asset Management Limited
and Salomon Brothers Asset Management Asia Pacific Limited; Managing Director of
Salomon Smith Barney Inc.; Corporate Secretary of The Travelers Investment
Management Company; and Chief Legal Officer to Travelers Group Inc.

          Thomas W. Jasper - The principal occupation of Mr. Jasper is to serve
as Treasurer of SaBAM and Managing Director of Salomon Brothers Inc.

          Andrew W. Alter - The principal occupation of Mr. Alter is to serve as
Assistant Secretary of SaBAM and Counsel to Salomon Brothers Inc.

          Howard M. Darmstadter - The principal occupation of Mr. Darmstadter is
to serve as Assistant Secretary of SaBAM and Assistant General Counsel of
Travelers Group Inc.

          With the exception of Heath B. McLendon, no other officers or Trustees
of the Trust are officers, directors or employees of SaBAM.


                                      -6-
<PAGE>
 
Description of Portfolio Management Team

          As of April 26, 1999, the senior portfolio manager of the Fund is Ross
Margolies, Managing Director and Chief Investment Officer of SaBAM.  A team of
investment professionals currently assists Mr. Margolies in the management of
the Fund.  If the shareholders approve the Sub-Advisory Agreement, Mr. Margolies
and his team will continue to manage the Fund in accordance with the Fund's
investment objective.  The following provides a brief summary of the business
experience and educational background of the SaBAM investment professionals.

Ross S. Margolies (18 years of experience).  Mr. Margolies is Managing Director
and a member of SaBAM's Investment Policy Committee.  He joined SaBAM in June
1992 and is the senior portfolio manager for all SaBAM equity, convertible and
arbitrage portfolios.  He is also portfolio manager of the Salomon Brothers
Capital Fund.  Prior to 1992, Mr. Margolies was a high yield bond analyst for
non-cyclical consumer products at Lehman Brothers and a senior credit analyst
for an $8 billion high yield portfolio at Prudential Capital Corp.  Mr.
Margolies received a BA in economics from Johns Hopkins University and an MBA in
Finance from New York University.

Daniel J. Berkery, CFA (8 years of experience).  Mr. Berkery is a Director of
SaBAM.  He joined SaBAM in June 1991 and is portfolio manager for convertible
portfolios.  He is also a former equity analyst covering the telecommunications,
utilities, and technology industries.  Mr. Berkery is a Chartered Financial
Analyst and received a BA in History from Harvard University.

Robert Donahue (7 years of experience).  Mr. Donahue is a Director of SaBAM.  He
joined SaBAM in February 1997 and is co-portfolio manager of the Salomon
Brothers Capital Fund and an equity analyst responsible for covering the media,
entertainment and telecommunication industries.  Prior to 1997, he worked as an
equity analyst for Gabelli & Company focusing on the media industry.  Mr.
Donahue received a BA in History from the University of Pennsylvania and an MBA
in Finance from Columbia Business School.

Ajay Dravid (17 years of experience).  Mr. Dravid is a Director of SaBAM.  He
joined SaBAM in January 1996 and is portfolio manager of SaBAM's capital
structure and arbitrage portfolios and is a quantitative analyst for SaBAM's
convertible portfolios.  Prior to 1996, Mr. Dravid performed asset allocation
research and developed models for trading, risk management and valuation for
Salomon Brothers Inc.  He also was an Assistant Professor at The Wharton School
of the University of Pennsylvania teaching options and futures courses.  Mr.
Dravid received an MA in Physics from the University of Stony Brook, an MBA in
Finance from the 

                                      -7-
<PAGE>
 
University of Rochester, and a Ph.D in Finance from Stanford University.

Roger M. Lavan (9 years of experience).  Mr. Lavan is a Director of SaBAM.  He
joined SaBAM in January of 1996 and is a Chartered Financial Analyst.  Mr. Lavan
received a BS in Finance from the State University of New York at Geneseo and an
MBA in Finance from Fordham University.

Maureen J. O'Callaghan (13 years of experience).  Ms. O'Callaghan is a Director
of SaBAM.  She joined SaBAM in October 1988 and is a senior fixed income analyst
evaluating high yield securities and is responsible for covering the
telecommunications, broadcast media, steel, paper and gaming industries.  Prior
to 1988, Ms. O'Callaghan covered retail equity and fixed income sales for
Merrill Lynch & Co.  She received a BS and MBA in Finance from Fordham
University.

Beth A. Semmel (17 years of experience).  Ms. Semmel is a Managing Director and
a member of SaBAM's Investment Policy Committee.  She joined SaBAM in May 1993
and is portfolio manager, senior analyst evaluating high yield securities,
trader for all of SaBAM's high yield portfolios and is responsible for covering
consumer-related industries.  Prior to 1993, Ms. Semmel was a high yield bond
analyst for Morgan Stanley Asset Management and an equity analyst for Kidder
Peabody.  She is a Chartered Financial Analyst and a member of the New York City
Society of Security Analysts.  Ms. Semmel received a BA in Math and Computer
Science from Colgate University.

David A. Torchia (9 years of experience).  Mr. Torchia is a Director of SaBAM.
He joined SaBAM in January of 1991.  He received a BS in Industrial Engineering
from the University of Pittsburgh and an MBA in Finance from Lehigh University.

Peter J. Wilby, CFA (16 years of experience).  Mr. Wilby is a Managing Director
and a member of SaBAM's Investment Policy Committee.  He is also a member of SSB
Citi Asset Management's Executive Committee.  Mr. Wilby joined SaBAM in
September 1989 and is the senior portfolio manager responsible for directing
investment policy and strategy for all SaBAM emerging markets debt and high
yield fixed income portfolios.  Prior to 1989, he worked as a fixed income
portfolio manager for Prudential Investment Co. specializing in high yield debt
securities and was the Director of the credit research unit responsible for all
corporate and sovereign credit research.  Mr. Wilby is a Chartered Financial
Analyst, a member of the Council on Foreign Relations and received his BA and
MBA in Accounting from Pace University.

Randall A. Yuen (7 years of experience).  Mr. Yuen is a Director of SaBAM.  He
joined SaBAM in January 1998 and is co-manager of the Salomon Brothers Fund and
senior equity analyst responsible for covering the technology industry.  Prior
to 1998, he worked 

                                      -8-
<PAGE>
 
as a senior analyst for CIBC Oppenheimer and Hamrecht & Quist providing research
coverage of companies in the computer networking and telecommunications
equipment industries. Mr. Yuen received a BA from the University of California,
Davis.

Description of the Prior Agreement

          Under the Prior Agreement, subject to the oversight and review of SSBC
and the Trustees, the Prior Sub-Adviser managed the investment and reinvestment
of the assets of the Fund.  Specifically, the Prior Sub-Adviser determined the
investments to be purchased or sold, employed professional portfolio managers
and securities analysts who provided research services to the Fund, provided
SSBC with records concerning its activities which SSBC or the Trust is required
to maintain and rendered regular reports to SSBC and to officers and Trustees of
the Trust.

          In return for the services provided, SSBC paid the Prior Sub-Adviser
an annualized advisory fee equal to 0.15% of 1% of the average daily net assets
of the Fund which accrued daily and was paid monthly.  For fiscal year 1998, the
Prior Sub-Adviser was paid an aggregate fee of $6,486,957.

          Under the Prior Agreement, the Prior Sub-Adviser was responsible for
all expenses incurred by it in the performance of its duties, which did not
include expenses of the Fund, such as brokerage fees and commissions.  The Prior
Agreement also provided that in the absence of willful misfeasance, bad faith,
gross negligence, or reckless disregard of the obligations or duties thereunder
on the part of the Prior Sub-Adviser, the Prior Sub-Adviser would not be liable
to SSBC, the Fund or to any shareholder for any error of judgment or mistake of
law or for any loss suffered by the Fund or SSBC in connection with the matters
set forth in the Prior Agreement.

          The Prior Agreement could be terminated without penalty upon sixty
(60) days' written notice by the Board of Trustees or by the vote of a majority
of the outstanding voting securities of the Fund, or upon 90 days' written
notice by the Prior Sub-Adviser.  Further, the Prior Agreement automatically
terminated in the event of its assignment.

          The Prior Sub-Adviser acted as sub-investment adviser to the Fund from
August 16, 1995 to April 26, 1999. The Prior Agreement was last approved by the
Board on August 5, 1998 and by the shareholders of the Fund on August 16, 1995.
Notice of termination of the Prior Agreement was delivered to the Prior Sub-
Adviser on April 16, 1999. SSBC will continue to compensate the Prior Sub-
Adviser for the 60 days following the notice of termination.

The New Sub-Advisory Agreement

          The new Sub-Advisory Agreement is substantially similar to the Prior
Agreement.  The Sub-Advisory Agreement, however, 

                                      -9-
<PAGE>
 
will identify SaBAM as the new sub-investment adviser and will also have new
execution and termination dates. Also, unlike the Prior Agreement, SaBAM's fee
will be paid by SSBC in an amount agreed to from time to time by the parties,
but not to exceed the fee paid to SSBC under its current investment advisory
agreement with the Fund.

          The new Sub-Advisory Agreement will be dated as of the date of its
approval by the shareholders.  The Sub-Advisory Agreement will be in effect for
an initial two-year term ending on the second anniversary of its approval, and
may continue thereafter from year to year only if specifically approved at least
annually by the Board of Trustees or by the vote of "a majority of the
outstanding voting securities" (as defined in the 1940 Act) of the Fund, and, in
either event, the vote of a majority of the non-interested Trustees, cast in
person at a meeting called for such purpose.

Investment Management Policies and Strategies to be Utilized by SaBAM

Strategies

          At the Board's Meeting on April 15, 1999, Ross Margolies described in
detail the strategies and techniques SaBAM would utilize to seek to achieve the
Fund's investment objective of total return. In general, these strategies and
techniques would focus on three goals: (i) to pay monthly dividends that would
seek to generate an initial annual net yield of approximately 4% for Class A
share investors; (ii) to participate to a significant degree in the long-term
appreciation of the S&P 500 on a total return basis; and (iii) to experience
lower volatility than the S&P 500. To accomplish these goals, SaBAM intends to
utilize a diversified group of strategies that seek to generate both income and
equity market participation for shareholders of the Fund. As discussed below,
several of these strategies will only be utilized if the Sub-Advisory Agreement
is approved by shareholders. SaBAM also may utilize other investment strategies
and techniques that were available to the Prior Sub-Adviser, including, but not
limited to: short sales against the box, when-issued and delayed-delivery
transactions, securities lending, repurchase agreements, money market
instruments and mortgage and asset-backed securities.

          SaBAM intends to generate appreciation at a higher than market rate by
allocating a portion of the Fund's assets to equity and equity-related
securities, including, but not limited to, common stocks, convertible securities
and real estate investment trusts (REITS).  To generate income and obtain
exposure to the equity market, SaBAM will purchase investment grade and high
yield fixed income securities along with options on securities indices for the
Fund.  This combination seeks to produce a pattern of total return that
correlates with the S&P 500.  SaBAM may also use options, futures and options on
futures 

                                      -10-
<PAGE>
 
to hedge against adverse changes in the market value of the Fund's securities.

Differences from Prior Investment Strategies

          The Prior Sub-Adviser sought to achieve the Fund's investment
objective by investing primarily in a diversified portfolio of dividend-paying
common stocks.  Because the Prior Sub-Adviser sought total return by emphasizing
investments in dividend-paying common stocks, it did not have as much investment
flexibility as other total return funds that pursue their objective by investing
in both income and equity stocks without such an emphasis.  Also, as described
below, the Fund was limited in the amount of its assets that could be invested
in fixed income securities (i.e., no more than 10%).  SaBAM proposes to manage
the Fund by investing a greater portion of the Fund's assets in fixed income
securities and by employing certain investment strategies not previously
utilized for the Fund.  A summary of the investment strategies proposed by SaBAM
are described below.

Changes in Certain Fund Policies

          In connection with its decision to appoint SaBAM as interim sub-
investment adviser to the Fund, and on SaBAM's recommendation, the Trustees
approved certain changes to non-fundamental investment policies of the Fund.
Certain of these changes became effective immediately (the "Interim Changes")
and others will become effective if the Sub-Advisory Agreement is approved by
shareholders of the Fund (the "Additional Changes").

          The Interim Changes approved by the Board of Trustees on April 15,
1999, included an increase from 10% to 35% in the amount of the Fund's assets
that could be invested in: (i) medium, lower-rated or unrated debt securities of
comparable quality; (ii) interest-paying debt securities, such as obligations
issued or guaranteed as to principal and interest by the U.S. government; and
(iii) other securities, including convertible bonds, convertible preferred stock
and warrants. In addition, the Trustees approved the use of futures contracts
and options on futures contracts for (i) bona fide hedging purposes (as defined
by the Commodities Futures Trading Commission); and (ii) non-hedging purposes
provided that the aggregate initial margin and premiums on such positions do not
exceed 5% of the liquidation value of the Fund's assets.

          The Board of Trustees also approved Additional Changes to take effect
if the Sub-Advisory Agreement is approved by shareholders.  These include the
(i) elimination of any limit on the amount of Fund assets that may be invested
in fixed income or equity securities; (ii) elimination of any limit on the
amount of call or put options on securities or indices that the Fund may
purchase or sell; and (iii) ability to engage in swap 

                                      -11-
<PAGE>
 
transactions relating to indices, currencies, interest rates, equity and debt
interests.

          The following generally describes several of the above-mentioned
investment techniques to be utilized by SaBAM and related risks.

          Convertible Securities.  Convertible securities are fixed-income
          ----------------------                                          
securities that may be converted at either a stated price or stated rate into
underlying shares of common stock.  Convertible securities have general
characteristics similar to both fixed-income and equity securities.  Although to
a lesser extent than with fixed-income securities generally, the market value of
convertible securities tends to decline as interest rates increase and,
conversely, tends to increase as interest rates decline.  In addition, because
of the conversion feature, the market value of convertible securities tends to
vary with fluctuations in the market value of the underlying common stocks and,
therefore, also will react to variations in the general market for equity
securities.  A unique feature of convertible securities is that as the market
price of the underlying common stock declines, convertible securities tend to
trade increasingly on a yield basis, and thus may not experience market value
declines to the same extent as the underlying common stock.  When the market
price of the underlying common stock increases, the prices of the convertible
securities tend to rise as a reflection of the value of the underlying common
stock.  While no securities investments are without risk, investments in
convertible securities generally entail less risk than investments in common
stock of the same issuer.

          As fixed-income securities, convertible securities are investments
that provide for a stable stream of income with generally higher yields than
common stocks.  Of course, like all fixed-income securities, there can be no
assurance of current income because the issuers of the convertible securities
may default on their obligations.  A convertible security, in addition to
providing fixed income, offers the potential for capital appreciation through
the conversion feature, which enables the holder to benefit from increases in
the market price of the underlying common stock.  There can be no assurance of
capital appreciation, however, because securities prices fluctuate.

          REITs.  The Fund may invest in real estate investment trusts
          -----                                                       
("REITs"), which are pooled investment vehicles that invest primarily in income-
producing real estate or real estate related loans or interests.  Like a
regulated investment company such as the Fund, REITs are not taxed on income
distributed to shareholders provided they comply with several requirements of
the Internal Revenue Code of 1986, amended (the "Code").  By investing in a
REIT, the Fund will indirectly bear its proportionate share of any expenses paid
by the REIT in addition to the expenses of the Fund.  Investing in REITs
involves certain 

                                      -12-
<PAGE>
 
risks. A REIT may be affected by changes in the value of the underlying property
owned by such REIT or by the quality of any credit extended by the REIT. REITs
are dependent on management skills, are not diversified (except to the extent
the Code requires), and are subject to the risks of financing projects. REITs
are subject to heavy cash flow dependency, default by borrowers, self-
liquidation, the possibilities of failing to qualify for the exemption from tax
for distributed income under the Code and failing to maintain their exemptions
from the 1940 Act. REITs are also subject to interest rate risks.

          Lower Rated Securities.  Investments in lower rated and comparable
          ----------------------                                            
unrated securities involve greater risk than higher rated securities.
Securities which are rated BBB by Standard & Poor's Rating Service ("S&P") or
Baa by Moody's Investors Service, Inc. ("Moody's") are generally regarded as
having adequate capacity to pay interest and repay principal, but may have some
speculative characteristics.  Securities rated below Baa by Moody's or BBB by
S&P may have speculative characteristics, including the possibility of default
or bankruptcy of the issuers of such securities, market price volatility based
upon interest rate sensitivity, questionable creditworthiness and relative
illiquidity of the secondary trading market.  Because high yield bonds have been
found to be more sensitive to adverse economic changes or individual corporate
developments and less sensitive to interest rate changes than higher-rated
investments, an economic downturn could disrupt the market for high yield bonds
and adversely affect the value of outstanding bonds and the ability of issuers
to repay principal and interest.  In addition, in a declining interest rate
market, issuers of high yield bonds may exercise redemption or call provisions,
which may force the Fund, to the extent it owns such securities, to replace
those securities with lower yielding securities.  This could result in a
decreased return.

          Mortgage and Asset-Backed Securities.  The Fund may purchase fixed or
          ------------------------------------                                 
adjustable rate mortgage-backed securities issued by the Government National
Mortgage Association, Federal National Mortgage Association or the Federal Home
Loan Mortgage Corporation, and other asset-backed securities, including
securities backed by automobile loans, equipment leases or credit card
receivables.  These securities directly or indirectly represent a participation
in, or are secured by and payable from, fixed or adjustable rate mortgage or
other loans which may be secured by real estate or other assets.  Unlike
traditional debt instruments, payments on these securities include both interest
and a partial payment of principal.  Prepayments of the principal of underlying
loans may shorten the effective maturities of these securities and may result in
the Fund having to reinvest proceeds at a lower interest rate.  The Fund may
also purchase collateralized mortgage obligations which are a type of bond
secured by an underlying pool of mortgages or mortgage pass-through certificates
that are structured to direct payments on 

                                      -13-
<PAGE>
 
underlying collateral to different series or classes of the obligations.

          Options.  The Fund may engage in transactions in options on securities
          -------                                                               
and securities indices, including the writing of covered put options and covered
call options, the purchase of put and call options and the entry into closing
transactions.  Index options are similar to options on securities except that,
rather than taking or making delivery of securities underlying the options at a
specified price upon exercise, an index option gives the holder the right to
receive cash upon exercise of the option if the level of the index upon which
the option is based is greater, in the case of a call, or less, in the case of a
put, than the exercise price of the option.  The purchase of a put option on a
security would be designed to protect against a decline in the market value of a
security held by the Fund.  The purchase of a call option on a security would be
intended to protect the Fund against an increase in the price of a security that
it intended to purchase in the future.  In the case of either put or call
options that it has purchased, if the option expires without being sold or
exercised, the Fund will experience a loss in the amount of the option premium
plus any related commissions.  The principal reason for writing covered call
options on securities is to attempt to realize, through the receipt of premiums,
a greater return than would be realized on the securities alone.  In return for
a premium, the writer of a covered call option forfeits the right to any
appreciation in the value of the underlying security above the strike price for
the life of the option (or until a closing purchase transaction can be
effected).  Nevertheless, the call writer retains the risk of a decline in the
price of the underlying security.  Similarly, the principal reason for writing
covered put options is to realize income in the form of premiums.  The writer of
a covered put option accepts the risk of a decline in the price of the
underlying security.  Prior to their expirations, put and call options may be
sold in closing sale transactions (sales by the Fund prior to the exercise of
options it has purchased) and profit or loss from the sale will depend on
whether the amount received is more or less than the premium paid for the option
plus the related transaction costs.

          Swaps.  A swap transaction is an agreement between the Fund and a
          -----                                                            
counterparty to act in accordance with the terms of a swap contract.  The Fund
may enter into swap transactions to preserve a return or spread on a particular
investment or portion of its assets, to protect against currency fluctuations,
as a duration management technique or to protect against any increase in the
price of securities the Fund anticipates purchasing at a later date.  The Fund
may also use these transactions for speculative purposes, such as to obtain the
price performance of a security without actually purchasing the security in
circumstances, for example, where the subject security is illiquid, is
unavailable for direct investment or available only on less attractive terms.
Swaps have risks associated with them 

                                      -14-
<PAGE>
 
including possible default by the counterparty to the transaction, illiquidity
and, where swaps are used as hedges, the risk that the use of a swap could
result in losses greater than if the swap had not been employed.

Certain Tax Implications.

          In connection with the implementation of these strategies, SaBAM
intends to sell certain portfolio securities held by the Fund. Some of these
securities have appreciated in value and therefore a sale may generate
significant capital gains which would be distributed to shareholders. The
majority of such gains, however, are currently expected to be in the form of
long-term capital gains. Such distributions would be taxable to the shareholders
who receive them. Distributed net short-term capital gains are taxable to
recipient shareholders as ordinary income and long-term capital gains are
taxable as capital gains. Accordingly, the implementation of these new
investment strategies by SaBAM may have adverse tax consequences for
shareholders of the Fund. Despite these potential tax consequences, however,
SSBC and SaBAM believe that the new investment strategies will be beneficial to
the Fund and the shareholders in the long-term.

Other Information

          CFBDS, Inc., located at 20 Milk Street, Boston, Massachusetts 02109-
5408, serves as the Fund's principal underwriter pursuant to a written agreement
dated October 8, 1998.  Prior to the merger of Travelers Group Inc. and Citicorp
Inc. on October 8, 1999, Salomon Smith Barney served as principal underwriter to
the Fund.  For the fiscal year ended December 31, 1998, the Fund paid $1,102,296
in commissions to Salomon Smith Barney, an "affiliated broker" of the Fund as
defined in Schedule 14A of the Securities Exchange of 1934.  Such amount
constituted 28.88% of the Fund's aggregate commissions paid for that year.

Required Vote

          Approval of the Sub-Advisory Agreement requires the affirmative vote
of a "majority of the outstanding voting securities," as defined above, of the
Fund.  The Trustees of the Trust, including the non-interested Trustees,
recommend that the shareholders of the Fund vote in favor of this Proposal.

                                      -15-
<PAGE>
 
                             ADDITIONAL INFORMATION

Proposals of Shareholders

          The Fund does not hold regular shareholder meetings.  Shareholders
wishing to submit proposals for inclusion in a proxy statement for a shareholder
meeting subsequent to the Special Meeting, if any, should send their written
proposals to the Secretary of the Trust at the address set forth on the cover of
this Proxy Statement.  Proposal must be received within a reasonable time before
the solicitation of proxies for such meeting.  The timely submission of a
proposal does not guarantee its inclusion.

Shareholders' Request For Special Meeting

          Shareholders holding at least 10% of the Trust's outstanding voting
securities (as defined in the 1940 Act) may require the calling of a meeting of
shareholders for the purpose of voting on the removal of any Board member of the
Trust.  Meetings of shareholders for any other purpose also shall be called by
the Board members when requested in writing by shareholders holding at least 10%
of the shares then outstanding or, if the Board members shall fail to call or
give notice of any meeting of shareholders for a period of 30 days after such
application, shareholders holding at least 10% of the shares then outstanding
may call and give notice of such meeting.

Other Matters To Come Before The Special Meeting

          The Fund does not intend to present any other business at the Special
Meeting, nor is it aware that any shareholder intends to do so.  If, however,
any other matters are properly brought before the Special Meeting, the persons
named in the accompanying proxy card will vote thereon in accordance with their
judgment.

          IT IS IMPORTANT THAT PROXIES BE RETURNED PROMPTLY.  SHAREHOLDERS WHO
DO NOT EXPECT TO ATTEND THE SPECIAL MEETING ARE THEREFORE URGED TO COMPLETE,
SIGN, DATE AND RETURN THE PROXY CARD AS SOON AS POSSIBLE IN THE ENCLOSED
POSTAGE-PAID ENVELOPE.

By order of the Board of Trustees,


Christina T. Sydor

Secretary

                                      -16-

<PAGE>
 
                                                                    EXHIBIT 99.A

                                    FORM OF
                       SUB-INVESTMENT ADVISORY AGREEMENT

                           SMITH BARNEY INCOME FUNDS
                    (Smith Barney Premium Total Return Fund)

_______________, 1999

Dear Sirs:

     Smith Barney Income Funds (the "Company"), a trust organized under the laws
of the Commonwealth of Massachusetts, on behalf of Smith Barney Premium Total
Return Fund (the "Fund"), and SSBC Fund Management Inc. (the "Adviser") each
confirms its agreement with Salomon Brothers Asset Management Inc.  (the "Sub-
Adviser") as follows:

1.   Investment Description; Appointment

     The Company desires to employ its capital relating to the Fund by investing
and reinvesting in investments of the kind and in accordance with the investment
objective(s), policies and limitations specified in its Master Trust Agreement,
as amended from time to time (the "Master Trust Agreement"), in the Prospectus
relating to the Fund (the "Prospectus") and the Statement of Additional
Information relating to the Fund (the "Statement") filed with the Securities and
Exchange Commission as part of the Company's Registration Statement on Form N-
1A, as amended from time to time, and in the manner and to the extent as may
from time to time be approved by the Board of Trustees of the Company (the
"Board").  Copies of the Prospectus, the Statement and the Master Trust
Agreement have been or will be submitted to the Sub-Adviser.  The Company agrees
to provide copies of all amendments to the Prospectus, the Statement and the
Master Trust Agreement to the Sub-Adviser on an on-going basis.  The Company
employs the Adviser as the investment adviser to the Fund, and the Company and
the Adviser desire to employ and hereby appoint the Sub-Adviser to act as the
sub-investment adviser to the Fund.  The Sub-Adviser accepts the appointment and
agrees to furnish the services for the compensation set forth below.

2.   Services as Sub-Investment Adviser

     Subject to the supervision, direction and approval of the Board of the
Company and the Adviser, the Sub-Adviser will: (a) manage the Fund's portfolio
in accordance with the Fund's investment objective(s) and policies as stated in
the Master 
<PAGE>
 
Trust Agreement, the Prospectus and the Statement; (b) make investment decisions
for the Fund; (c) place purchase and sale orders for portfolio transactions for
the Fund; and (d) employ professional portfolio managers and securities analysts
who provide research services to the Fund. In providing those services, the Sub-
Adviser will conduct a continual program of investment, evaluation and, if
appropriate, sale and reinvestment of the Fund's assets.

3.   Brokerage

     In selecting brokers or dealers to execute transactions on behalf of the
Fund, the Sub-Adviser will seek the best overall terms available.  In assessing
the best overall terms available for any transaction, the Sub-Adviser will
consider factors it deems relevant, including, but not limited to, 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 a particular
transaction, and in evaluating the best overall terms available, the Sub-Adviser
is authorized to consider the brokerage and research services (as those terms
are defined in Section 28(e) of the Securities Exchange Act of 1934) provided to
the Fund and/or other accounts over which the Sub-Adviser or its affiliates
exercise investment discretion.

4.   Information Provided to the Company

     The Sub-Adviser will keep the Adviser and the Company informed of
developments materially affecting the Fund and will, on its own initiative,
furnish the Adviser and the Company from time to time with whatever information
the Sub-Adviser believes is appropriate for this purpose.

5.   Standard of Care

     The Sub-Adviser shall exercise its best judgment in rendering the services
listed in paragraphs 2 and 3 above.  The Sub-Adviser shall not be liable for any
error of judgment or mistake of law or for any loss suffered by the Fund and the
Adviser in connection with the matters to which this Agreement relates, provided
that nothing in this Agreement shall be deemed to protect or purport to protect
the Sub-Adviser against any liability to the Adviser, the Company or the
shareholders of the Fund to which the Sub-Adviser would otherwise be subject by
reason of willful misfeasance, bad faith or gross negligence on its part in the
performance of its duties or by reason of the Sub-Adviser's reckless disregard
of its obligations and duties under this Agreement.

                                      -2-
<PAGE>
 
6.   Compensation

     In consideration of the services rendered pursuant to this Agreement, the
Adviser will pay the Sub-Adviser on the first business day of each month a fee
for the previous month at an annual rate based on the Fund's average daily net
assets in an amount agreed to from time to time by the parties to this
Agreement, but not to exceed the fee paid to the Adviser under its investment
advisory agreement with the Fund.  The fee for the period from the Effective
Date (defined below) of the Agreement to the end of the month during which the
Effective Date occurs shall be prorated according to the proportion that such
period bears to the full monthly period.  Upon any termination of this Agreement
before the end of any month, the fee for such part of that month shall be
prorated according to the proportion that such period bears to the full monthly
period and shall be payable upon the date of termination of this Agreement.  For
the purpose of determining fees payable to the Sub-Adviser, the value of the
Fund's net assets shall be computed at the times and in the manner specified in
the Prospectus and/or the Statement.

7.  Expenses

     The Sub-Adviser will bear all expenses in connection with the performance
of its services under this Agreement.  The Fund will bear certain other expenses
to be incurred in its operation, including, but not limited to, investment
advisory fees payable to the Adviser and administration fees; fees for necessary
professional and brokerage services; fees for any pricing service; the costs of
regulatory compliance; and costs associated with maintaining the Company's legal
existence and shareholder relations.

8.  Reduction of Fee

     If in any fiscal year the aggregate expenses of the Fund (including fees
pursuant to this Agreement and the Fund's investment advisory agreement, but
excluding interest, taxes, brokerage and extraordinary expenses) exceed the
expense limitations of any state having jurisdiction over the Fund, the Sub-
Adviser will reduce its fee by the proportion of such excess expense equal to
the proportion that its fee thereunder bears to the aggregate of fees paid by
the Fund for investment advice and administration in that year, to the extent
required by state law.  A fee reduction pursuant to this paragraph 8, if any,
will be estimated, reconciled and paid on a monthly basis.

9.   Services to Other Companies or Accounts

     The Company understands that the Sub-Adviser now acts, will continue to act
and may act in the future as investment adviser 

                                      -3-
<PAGE>
 
to fiduciary and other managed accounts, and as investment adviser to other
investment companies, and the Company has no objection to the Sub-Adviser's so
acting, provided that whenever the Fund and one or more other investment
companies advised by the Sub-Adviser have available funds for investment,
investments suitable and appropriate for each will be allocated in accordance
with a formula believed to be equitable to each company. The Company recognizes
that in some cases this procedure may adversely affect the size of the position
obtainable for the Fund. In addition, the Company understands that the persons
employed by the Sub-Adviser to assist in the performance of the Sub-Adviser's
duties under this Agreement will not devote their full time to such service and
nothing contained in this Agreement shall be deemed to limit or restrict the
right of the Sub-Adviser or any affiliate of the Sub-Adviser to engage in and
devote time and attention to other businesses or to render services of whatever
kind or nature.

10.  Term of Agreement

     This Agreement shall become effective as of __________, 1999 (the
"Effective Date") and shall continue for an initial two-year term and shall
continue thereafter so long as such continuance is specifically approved at
least annually by (i) the Board of the Company or (ii) a vote of a "majority"
(as that term is defined in the Investment Company Act of 1940, as amended (the
"1940 Act")) of the Fund's outstanding voting securities, provided that in
either event the continuance is also approved by a majority of the Board who are
not "interested persons" (as defined in the 1940 Act) of any party to this
Agreement, by vote cast in person at a meeting called for the purpose of voting
on such approval.  This Agreement is terminable, without penalty, on 60 days'
written notice, by the Board of the Company or by vote of holders of a majority
of the Fund's shares, or upon 90 days' written notice, by the Sub-Adviser.  This
Agreement will also terminate automatically in the event of its assignment (as
defined in the 1940 Act and the rules thereunder).

11.  Representation by the Company

     The Company represents that a copy of the Master Trust Agreement is on file
with the Secretary of The Commonwealth of Massachusetts and with the Boston City
Clerk.

12.  Limitation of Liability

     The Company, the Adviser and the Sub-Adviser agree that the obligations of
the Company under this Agreement shall not be binding upon any of the members of
the Board, shareholders, nominees, officers, employees or agents, whether past,
present or future, of the Company, individually, but are binding only upon 

                                      -4-
<PAGE>
 
the assets and property of the Fund and not upon the assets and property of any
other portfolio of the Company. The execution and delivery of this Agreement
have been authorized by the Board and a majority of the holders of the Fund's
outstanding voting securities, and signed by an authorized officer of the
Company, acting as such, and neither such authorization by such members of the
Board and shareholders nor such execution and delivery by such officer shall be
deemed to have been made by any of them individually or to impose any liability
on any of them personally, but shall bind only the assets and property of the
Fund as provided in the Master Trust Agreement.

If the foregoing is in accordance with your understanding, kindly indicate your
acceptance of this Agreement by signing and returning the enclosed copy of this
Agreement.

                              Very truly yours,

                              SMITH BARNEY INCOME FUNDS
                              on behalf of its
                              Premium Total Return Fund

                              By:
                                 ----------------------------
                              Name:  Heath B. McLendon
                              Title:  Chairman of the Board


                              SSBC FUND MANAGEMENT INC.


                              By: 
                                 ---------------------------- 
                                 Name:
                                 Title:

Accepted:

SALOMON BROTHERS ASSET
 MANAGEMENT INC.



By:  
   ------------------------------
Name:
Title:

                                      -5-

<PAGE>
 

                               FORM OF PROXY CARD

                     SMITH BARNEY PREMIUM TOTAL RETURN FUND

                    PROXY SOLICITED BY THE BOARD OF TRUSTEES

Special Meeting of Shareholders to be held on _____, 1999 at _____ a.m./p.m.

          The undersigned holder of shares of the Fund referenced above hereby
appoints Heath B. McLendon, Christina T. Sydor, and Gordon Swartz, attorneys
with full powers of substitution and revocation, to represent the undersigned
and to vote on behalf of the undersigned all shares of the Fund that the
undersigned is entitled to vote at the Special Meeting of Shareholders of the
Fund to be held at the offices of the Fund, 388 Greenwich Street, New York, New
York at the date and time indicated above and at any adjournments thereof.  The
undersigned hereby acknowledges receipt of the enclosed Notice of Special
Meeting and Proxy Statement and hereby instructs said attorneys and proxies to
vote said shares as indicated herein.  In their discretion, the proxies are
authorized to vote on such other business as may properly come before the
Special Meeting.  A majority of the proxies present and acting at the Special
Meeting in person or by substitute (or, if only one shall be so present, then
that one) shall have and may exercise all of the power and authority of said
proxies hereunder.  The undersigned hereby revokes any proxy previously given.

     Date:  _______________________________ 1999
                PLEASE SIGN IN BOX BELOW

     Please sign exactly as your name appears on this Proxy.  If joint owners,
     EITHER may sign this Proxy.  When signing as attorney, executor,
     administrator trustee, guardian or corporate officer, please give your full
     title:

     ______________________________________
     Signature(s) Title(s), if applicable

<PAGE>

NOTE YOUR PROXY IS NOT VALID UNLESS IT IS SIGNED ON THE REVERSE SIDE

Please vote by filling in the appropriate box below

1.   To approve or disapprove a new sub-investment advisory agreement among the
     Fund, SSBC Fund Management Inc. and Salomon Brothers Asset Management Inc.

     For       Against  Abstain
     [_]         [_]      [_] 
 
2.   To transact such other business as may properly come before the meeting or
     any adjournment thereof.


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