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                                                                EXHIBIT 10.14(a)

                        INVESTMENT SUB-ADVISORY AGREEMENT

         AGREEMENT MADE THIS 1st day of August, 2002 by and between Nuveen
Institutional Advisory Corp., a Delaware corporation and a federally registered
investment adviser ("Manager"), and Symphony Asset Management LLC, a California
limited liability company and a federally registered investment adviser
("Sub-Adviser").

         WHEREAS, Manager serves as the investment manager for the Nuveen
Floating Rate Fund (the "Fund"), a closed-end management investment company
registered under the Investment Company Act of 1940, as amended (the "1940 Act")
pursuant to an Investment Management Agreement between Manager and the Fund (as
such agreement may be modified from time to time, the "Management Agreement");
and

         WHEREAS, Manager desires to retain Sub-Adviser as its agent to furnish
investment advisory services for the Fund, upon the terms and conditions
hereafter set forth;

         NOW, THEREFORE, in consideration of the mutual covenants herein
contained, the parties hereto agree as follows:

         1. Appointment. Manager hereby appoints Sub-Adviser to provide certain
sub-investment advisory services to the Fund for the period and on the terms set
forth in this Agreement. Sub-Adviser accepts such appointments and agrees to
furnish the services herein set forth for the compensation herein provided.

         2. Services to be Performed. Subject always to the supervision of
Fund's Board of Trustees and the Manager, Sub-Adviser will furnish an investment
program in respect of, make investment decisions for, and place all orders for
the purchase and sale of securities for the Fund, all on behalf of the Fund. In
the performance of its duties, Sub-Adviser will satisfy its fiduciary duties to
the Fund, will monitor the Fund's investments, and will comply with the
provisions of Fund's Declaration of Trust and By-laws, as amended from time to
time, and the stated investment objectives, policies and restrictions of the
Fund. Manager will provide Sub-Adviser with current copies of the Fund's
Declaration of Trust, By-laws, prospectus and any amendments thereto, and any
objectives, policies or limitations not appearing therein as they may be
relevant to Sub-Adviser's performance under this Agreement. Sub-Adviser and
Manager will each make its officers and employees available to the other from
time to time at reasonable times to review investment policies of the Fund and
to consult with each other regarding the investment affairs of the Fund.
Sub-Adviser will report to the Board of Trustees and to Manager with respect to
the implementation of such program.

         Sub-Adviser is authorized to select the brokers or dealers that will
execute the purchases and sales of portfolio securities for the Fund, and is
directed to use its best efforts to obtain best execution, which includes most
favorable net results and execution of the Fund's orders, taking into account
all appropriate factors, including price, dealer spread or commission, size and
difficulty of the transaction and research or other services provided. It is
understood that the

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Sub-Adviser will not be deemed to have acted unlawfully, or to have breached a
fiduciary duty to the Fund, or be in breach of any obligation owing to the Fund
under this Agreement, or otherwise, solely by reason of its having caused the
Fund to pay a member of a securities exchange, a broker or a dealer a commission
for effecting a securities transaction for the Fund in excess of the amount of
commission another member of an exchange, broker or dealer would have charged if
the Sub-Adviser determined in good faith that the commission paid was reasonable
in relation to the brokerage or research services provided by such member,
broker or dealer, viewed in terms of that particular transaction or the
Sub-Adviser's overall responsibilities with respect to its accounts, including
the Fund, as to which it exercises investment discretion. In addition, if in the
judgment of the Sub-Adviser, the Fund would be benefited by supplemental
services, the Sub-Adviser is authorized to pay spreads or commissions to brokers
or dealers furnishing such services in excess of spreads or commissions which
another broker or dealer may charge for the same transaction, provided that the
Sub-Adviser determined in good faith that the commission or spread paid was
reasonable in relation to the services provided. The Sub-Adviser will properly
communicate to the officers and trustees of the Fund such information relating
to transactions for the Fund as they may reasonably request. In no instance will
portfolio securities be purchased from or sold to the Manager, Sub-Adviser or
any affiliated person of either the Fund, Manager, or Sub-Adviser, except as may
be permitted under the 1940 Act;

         Sub-Adviser further agrees that it:

         (a)      will use the same degree of skill and care in providing such
                  services as it uses in providing services to fiduciary
                  accounts for which it has investment responsibilities;

         (b)      will conform to all applicable Rules and Regulations of the
                  Securities and Exchange Commission in all material respects
                  and in addition will conduct its activities under this
                  Agreement in accordance with any applicable regulations of any
                  governmental authority pertaining to its investment advisory
                  activities;

         (c)      will report regularly to Manager and to the Board of Trustees
                  of the Fund and will make appropriate persons available for
                  the purpose of reviewing with representatives of Manager and
                  the Board of Trustees on a regular basis at reasonable times
                  the management of the Fund, including, without limitation,
                  review of the general investment strategies of the Fund, the
                  performance of the Fund in relation to standard industry
                  indices and general conditions affecting the marketplace and
                  will provide various other reports from time to time as
                  reasonably requested by Manager; and

         (d)      will prepare such books and records with respect to the Fund's
                  securities transactions as requested by the Manager and will
                  furnish Manager and Fund's Board of Trustees such periodic and
                  special reports as the Board or Manager may reasonably
                  request.

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         3. Expenses. During the term of this Agreement, Sub-Adviser will pay
all expenses incurred by it in connection with its activities under this
Agreement other than the cost of securities (including brokerage commission, if
any) purchased for the Fund.

         4. Compensation. For the services provided and the expenses assumed
pursuant to this Agreement, Manager will pay the Sub-Adviser, and the
Sub-Adviser agrees to accept as full compensation therefor, a portfolio
management fee equal to the portion specified below of the investment management
fee payable by the Fund to the Manager based on average daily net assets which
includes net assets attributable to the principal amount of borrowings pursuant
to the Management Agreement, as such agreement may be modified from time to
time:

<Table>
<Caption>
                                           PERCENTAGE OF NET
DAILY NET ASSETS                             MANAGEMENT FEE
<S>                                         <C>
Up to $125 million                               50.0%
$125 million to $150 million                     47.5%
$150 million to $175 million                     45.0%
$175 million to $200 million                     42.5%
$200 million and over                            40.0%
</Table>

The portfolio management fee shall accrue on each calendar day, and shall be
payable monthly on the first business day of the next succeeding calendar month.
The daily fee accrual shall be computed by multiplying the fraction of one
divided by the number of days in the calendar year by the applicable annual rate
of fee, and multiplying this product by the net assets of the Fund, determined
in the manner established by the Fund's Board of Trustees, as of the close of
business on the last preceding business day on which the Fund's net asset value
was determined.

For the month and year in which this Agreement becomes effective or terminates,
there shall be an appropriate proration on the basis of the number of days that
the Agreement is in effect during the month and year, respectively.

         5. Services to Others. Manager understands, and has advised Fund's
Board of Trustees, that Sub-Adviser now acts, or may in the future act, as an
investment adviser to fiduciary and other managed accounts, and as investment
adviser or sub-investment adviser to one other investment company that is not a
series of the Fund, provided that whenever the Fund and one or more other
investment advisory clients of Sub-Adviser have available funds for investment,
investments suitable and appropriate for each will be allocated in a manner
believed by Sub-Adviser to be equitable to each. Manager recognizes, and has
advised Fund's Board of Trustees, that in some cases this procedure may
adversely affect the size of the position that the Fund may obtain in a
particular security. It is further agreed that, on occasions when the
Sub-Adviser deems the purchase or sale of a security to be in the best interests
of the Fund as well as other accounts, it may, to the extent permitted by
applicable law, but will not be obligated to, aggregate the securities to be so
sold or purchased for the Fund with those to be sold or purchased for other
accounts in order to obtain favorable execution and lower brokerage commissions.
In addition, Manager understands, and has advised Fund's Board of Trustees, that
the persons employed by

                                       3
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Sub-Adviser to assist in Sub-Adviser's duties under this Agreement will not
devote their full such efforts and service to the Fund. It is also agreed that
the Sub-Adviser may use any supplemental research obtained for the benefit of
the Fund in providing investment advice to its other investment advisory
accounts or for managing its own accounts.

         6. Limitation of Liability. Manager will not take any action against
Sub-Adviser to hold Sub-Adviser liable for any error of judgment or mistake of
law or for any loss suffered by the Fund in connection with the performance of
Sub-Adviser's duties under this Agreement, except for a loss resulting from
Sub-Adviser's willful misfeasance, bad faith, or gross negligence in the
performance of its duties or by reason of its reckless disregard of its
obligations and duties under this Agreement.

         7. Term; Termination; Amendment. This Agreement shall become effective
with respect to the Fund on the same date as the Management Agreement between
the Fund and the Manager becomes effective, provided that it has been approved
by a vote of a majority of the outstanding voting securities of the Fund in
accordance with the requirements of the 1940 Act, and shall remain in full force
until August 1, 2003 unless sooner terminated as hereinafter provided. This
Agreement shall continue in force from year to year thereafter with respect to
the Fund, but only as long as such continuance is specifically approved for the
Fund at least annually in the manner required by the 1940 Act and the rules and
regulations thereunder; provided, however, that if the continuation of this
Agreement is not approved for the Fund, the Sub-Adviser may continue to serve in
such capacity for the Fund in the manner and to the extent permitted by the 1940
Act and the rules and regulations thereunder.

         This Agreement shall automatically terminate in the event of its
assignment and may be terminated at any time without the payment of any penalty
by the Manager on sixty (60) days' written notice to the Sub-Adviser. This
Agreement may be terminated by the Sub-Adviser as of July 31 of any year after
2003 without payment of any penalty upon sixty (60) days' prior written notice
to the Manager. This Agreement may also be terminated by the Fund with respect
to the Fund by action of the Board of Trustees or by a vote of a majority of the
outstanding voting securities of such Fund on sixty (60) days' written notice to
the Sub-Adviser by the Fund.

         This Agreement may be terminated with respect to the Fund at any time
without the payment of any penalty by the Manager, the Board of Trustees or by
vote of a majority of the outstanding voting securities of the Fund in the event
that it shall have been established by a court of competent jurisdiction that
the Sub-Adviser or any officer or director of the Sub-Adviser has taken any
action which results in a breach of the covenants of the Sub-Adviser set forth
herein.

         The terms "assignment" and "vote of a majority of the outstanding
voting securities" shall have the meanings set forth in the 1940 Act and the
rules and regulations thereunder.

         Termination of this Agreement shall not affect the right of the
Sub-Adviser to receive payments on any unpaid balance of the compensation
described in Section 4 earned prior to such termination. This Agreement shall
automatically terminate in the event the Investment

                                       4
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Management Agreement between the Manager and the Fund is terminated, assigned or
not renewed.

         8. Notice. Any notice under this Agreement shall be in writing,
addressed and delivered or mailed, postage prepaid, to the other party

<Table>
<S>                                              <C>
         If to the Manager:                      If to the Sub-Adviser:

         Nuveen Institutional Advisory Corp.     Symphony Asset Management LLC
         333 West Wacker Drive                   555 California Street, Suite 2975
         Chicago, Illinois 60606                 San Francisco, California 94104
         Attention: John P. Amboian              Attention: Neil Rudolph

         With a copy to:

         The John Nuveen Company
         333 West Wacker Drive
         Chicago, Illinois 60606
         Attention: General Counsel
</Table>

or such address as such party may designate for the receipt of such notice.

         9. Limitations on Liability. All parties hereto are expressly put on
notice of the Fund's Agreement and Declaration of Trust and all amendments
thereto, a copy of which is on file with the Secretary of the Commonwealth of
Massachusetts, and the limitation of shareholder and trustee liability contained
therein. The obligations of the Fund entered in the name or on behalf thereof by
any of the Trustees, representatives or agents are made not individually but
only in such capacities and are not binding upon any of the Trustees, officers,
or shareholders of the Fund individually but are binding upon only the assets
and property of the Fund, and persons dealing with the Fund must look solely to
the assets of the Fund and those assets belonging to the subject Fund, for the
enforcement of any claims.

         10. Miscellaneous. The captions in this Agreement are included for
convenience of reference only and in no way define or delimit any of the
provisions hereof or otherwise affect their construction or effect. If any
provision of this Agreement is held or made invalid by a court decision,
statute, rule or otherwise, the remainder of this Agreement will not be affected
thereby. This Agreement will be binding upon and shall inure to the benefit of
the parties hereto and their respective successors.

         11. Applicable Law. This Agreement shall be construed in accordance
with applicable federal law and (except as to Section 10 hereof which shall be
construed in accordance with the laws of Massachusetts) the laws of the State of
Illinois.

                                       5
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         IN WITNESS WHEREOF, the Manager and the Sub-Adviser have caused this
Agreement to be executed as of the day and year first above written.

NUVEEN INSTITUTIONAL ADVISORY            SYMPHONY ASSET MANAGEMENT LLC,
CORP., a Delaware corporation            a California limited liability company

By: /s/ Gifford R. Zimmerman             By: /s/ Neil Rudolph
Title: Managing Director                 Title:  Chief Operating Officer

                                       6<PAGE>
                                                                   EXHIBIT 10.18

                         INVESTMENT MANAGEMENT AGREEMENT

AGREEMENT made this 4th day of December, 2002, by and between NUVEEN QUALITY
PREFERRED INCOME FUND 3, a Massachusetts business trust (the "Fund"), and NUVEEN
INSTITUTIONAL ADVISORY CORP., a Delaware corporation (the "Adviser").

                                   WITNESSETH

In consideration of the mutual covenants hereinafter contained, it is hereby
agreed by and between the parties hereto as follows:

1. The Fund hereby employs the Adviser to act as the investment adviser for, and
to manage the investment and reinvestment of the assets of the Fund in
accordance with the Fund's investment objective and policies and limitations,
and to administer the Fund's affairs to the extent requested by and subject to
the supervision of the Board of Trustees of the Fund for the period and upon the
terms herein set forth. The investment of the Fund's assets shall be subject to
the Fund's policies, restrictions and limitations with respect to securities
investments as set forth in the Fund's then current registration statement under
the Investment Company Act of l940, and all applicable laws and the regulations
of the Securities and Exchange Commission relating to the management of
registered closed-end, non-diversified management investment companies.

The Adviser accepts such employment and agrees during such period to render such
services, to furnish office facilities and equipment and clerical, bookkeeping
and administrative services (other than such services, if any, provided by the
Fund's transfer agent) for the Fund, to permit any of its officers or employees
to serve without compensation as trustees or officers of the Fund if elected to
such positions, and to assume the obligations herein set forth for the
compensation herein provided. The Adviser shall, for all purposes herein
provided, be deemed to be an independent contractor and, unless otherwise
expressly provided or authorized, shall have no authority to act for nor
represent the Fund in any way, nor otherwise be deemed an agent of the Fund.

2. For the services and facilities described in Section l, the Fund will pay to
the Adviser, at the end of each calendar month, an investment management fee
computed by applying the following annual rate to the average total daily net
assets of the Fund:

<Table>
<Caption>
                  RATE               AVERAGE TOTAL DAILY NET ASSETS(1)
                  ----               ---------------------------------
<S>                                  <C>
                  .900%                 Up to $500 million
                  .875%                 $500 to $1 billion
                  .850%                 $1 billion to $1.5 billion
                  .825%                 $1.5 billion to $2 billion
                  .800%                 $2 billion and over
</Table>

(1) Including net assets attributable to the Fund's Preferred Shares and the
    principal amount of borrowings.

For the month and year in which this Agreement becomes effective, or terminates,
there shall be an appropriate proration on the basis of the number of days that
the Agreement shall have been in effect during the month and year, respectively.
The services of the Adviser to the Fund under this Agreement are not to be
deemed exclusive, and the Adviser shall be free to render similar services

<PAGE>

                                       2

or other services to others so long as its services hereunder are not impaired
thereby.

3. The Adviser shall arrange for officers or employees of the Adviser to serve,
without compensation from the Fund, as trustees, officers or agents of the Fund,
if duly elected or appointed to such positions, and subject to their individual
consent and to any limitations imposed by law.

4. Subject to applicable statutes and regulations, it is understood that
officers, trustees, or agents of the Fund are, or may be, interested in the
Adviser as officers, directors, agents, shareholders or otherwise, and that the
officers, directors, shareholders and agents of the Adviser may be interested in
the Fund otherwise than as trustees, officers or agents.

5. The Adviser shall not be liable for any loss sustained by reason of the
purchase, sale or retention of any security, whether or not such purchase, sale
or retention shall have been based upon the investigation and research made by
any other individual, firm or corporation, if such recommendation shall have
been selected with due care and in good faith, except loss resulting from
willful misfeasance, bad faith, or gross negligence on the part of the Adviser
in the performance of its obligations and duties, or by reason of its reckless
disregard of its obligations and duties under this Agreement.

6. The Adviser currently manages other investment accounts and funds, including
those with investment objectives similar to the Fund, and reserves the right to
manage other such accounts and funds in the future. Securities considered as
investments for the Fund may also be appropriate for other investment accounts
and funds that may be managed by the Adviser. Subject to applicable laws and
regulations, the Adviser will attempt to allocate equitably portfolio
transactions among the portfolios of its other investment accounts and funds
purchasing securities whenever decisions are made to purchase or sell securities
by the Fund and one or more of such other accounts or funds simultaneously. In
making such allocations, the main factors to be considered by the Adviser will
be the respective investment objectives of the Fund and such other accounts and
funds, the relative size of portfolio holdings of the same or comparable
securities, the availability of cash for investment by the Fund and such other
accounts and funds, the size of investment commitments generally held by the
Fund and such accounts and funds, and the opinions of the persons responsible
for recommending investments to the Fund and such other accounts and funds.

7. This Agreement shall continue in effect until August l, 2004, unless and
until terminated by either party as hereinafter provided, and shall continue in
force from year to year thereafter, but only as long as such continuance is
specifically approved, at least annually, in the manner required by the
Investment Company Act of 1940.

         This Agreement shall automatically terminate in the event of its
assignment, and may be terminated at any time without the payment of any penalty
by the Fund or by the Adviser upon no less than sixty (60) days' written notice
to the other party. The Fund may effect termination by action of the Board of
Trustees or by vote of a majority of the outstanding voting securities of the
Fund, accompanied by appropriate notice.

         This Agreement may be terminated, at any time, without the payment of
any penalty, by the Board of Trustees of the Fund, or by vote of a majority of
the outstanding voting securities of the

<PAGE>

                                       3

Fund, in the event that it shall have been established by a court of competent
jurisdiction that the Adviser, or any officer or director of the Adviser, has
taken any action which results in a breach of the covenants of the Adviser set
forth herein.

         Termination of this Agreement shall not affect the right of the Adviser
to receive payments on any unpaid balance of the compensation, described in
Section 2, earned prior to such termination.

8. If any provision of this Agreement shall be held or made invalid by a court
decision, statute, rule, or otherwise, the remainder shall not be thereby
affected.

9. Any notice under this Agreement shall be in writing, addressed and delivered
or mailed, postage prepaid, to the other party at such address as such other
party may designate for receipt of such notice.

<PAGE>

                                       4

10. The Fund's Declaration of Trust is on file with the Secretary of the
Commonwealth of Massachusetts. This Agreement is executed on behalf of the Fund
by the Fund's officers as officers and not individually and the obligations
imposed upon the Fund by this Agreement are not binding upon any of the Fund's
Trustees, officers or shareholders individually but are binding only upon the
assets and property of the Fund.

11. This Agreement shall be construed in accordance with applicable federal law
and (except as to Section 10 hereof which shall be construed in accordance with
the laws of Massachusetts) the laws of the State of Illinois.

         IN WITNESS WHEREOF, the Fund and the Adviser have caused this Agreement
to be executed on the day and year above written.

                                         NUVEEN QUALITY PREFERRED INCOME FUND 3

                                               by: /s/ Jessica R. Droeger
                                                   ----------------------------
                                                           Vice President

Attest: /s/ Virginia L. O'Neal
        ----------------------
        Assistant Secretary

                                         NUVEEN INSTITUTIONAL ADVISORY CORP.

                                               by: /s/ William M. Fitzgerald
                                                   ----------------------------
                                                           Managing Director

Attest: /s/ Larry W. Martin
        ----------------------
        Assistant Secretary

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