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                                                                   EXHIBIT 10.34

                                SECOND AMENDMENT
                                       TO
                    RESOURCE BANCSHARES MORTGAGE GROUP, INC.
                            FORMULA STOCK OPTION PLAN

         THIS SECOND AMENDMENT TO RESOURCE BANCSHARES MORTGAGE GROUP, INC.
FORMULA STOCK OPTION PLAN is made as of the ____ day of October, 1998 by
RESOURCE BANCSHARES MORTGAGE GROUP, INC. (the "Company").

                              W I T N E S S E T H:

         WHEREAS, the Company maintains the Resource Bancshares Mortgage Group,
Inc. Formula Stock Option Plan (the "Plan") for the benefit of its directors who
are not full-time employees or executive officers of the Company ("Independent
Directors"); and

         WHEREAS, in Section 5.2 of the Plan, the Company reserved the right by
action of a committee (the "Committee") composed of all members of its Board of
Directors except Independent Directors to amend the Plan; and

WHEREAS, the Committee now desires to amend certain provisions of the Plan;

         NOW, THEREFORE, in consideration of the premises and mutual covenants
herein contained, the Company covenants and agrees that the Plan is amended as
follows, effective as of the date first above written:

         1. Section 1.3 of the Plan is amended by adding the following
definition thereto:

         "(o)  "Change of Control" shall mean:

                  (a) The acquisition by any individual, entity or group (within
         the meaning of Section 13(d)(3) or 14(d)(2) of the Exchange Act) (a
         "Person") of beneficial ownership (within the meaning of Rule 13d-3
         promulgated under the Exchange Act) of 20% or more of either (i) the
         then outstanding shares of Common Stock (the "Outstanding Company
         Common Stock") or (ii) the combined voting power of the then
         outstanding voting securities of the Company entitled to vote generally
         in the election of directors (the "Outstanding Company Voting
         Securities"); provided, however, that for purposes of this subsection
         (a), the following acquisitions shall not constitute a Change of
         Control: (i) any acquisition directly from the Company, (ii) any
         acquisition by the Company, (iii) any acquisition by any employee
         benefit plan (or related trust) sponsored or maintained by the Company
         or any corporation controlled by the Company or (iv) any acquisition by
         any corporation pursuant to a transaction which complies with clauses
         (i), (ii) and (iii) of subsection (c) of this Section 1.3(o); or


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                  (b) Individuals who, as of the date hereof, constitute the
         Board (the "Incumbent Board") cease for any reason to constitute at
         least a majority of the Board; provided, however, that any individual
         becoming a director subsequent to the date hereof whose election, or
         nomination for election by the Company's stockholders, was approved by
         a vote of at least a majority of the directors then comprising the
         Incumbent Board shall be considered as though such individual were a
         member of the Incumbent Board, but excluding, for this purpose, any
         such individual whose initial assumption of office occurs as a result
         of an actual or threatened election contest with respect to the
         election or removal of directors or other actual or threatened
         solicitation of proxies or consents by or on behalf of a Person other
         than the Board; or

                  (c) Consummation of a reorganization, merger or consolidation
         or sale or other disposition of all or substantially all of the assets
         of the Company or the acquisition of assets of another corporation (a
         "Business Combination"), in each case, unless, following such Business
         Combination, (i) all or substantially all of the individuals and
         entities who were the beneficial owners, respectively, of the
         Outstanding Company Common Stock and Outstanding Company Voting
         Securities immediately prior to such Business Combination beneficially
         own, directly or indirectly, more than 50% of, respectively, the then
         outstanding shares of common stock and the combined voting power of the
         then outstanding voting securities entitled to vote generally in the
         election of directors, as the case may be, of the corporation resulting
         from such Business Combination (including, without limitation, a
         corporation which as a result of such transaction owns the Company or
         all or substantially all of the Company's assets either directly or
         through one or more subsidiaries) in substantially the same proportions
         as their ownership, immediately prior to such Business Combination of
         the Outstanding Company Common Stock and Outstanding Company Voting
         Securities, as the case may be, (ii) no Person (excluding any
         corporation resulting from such Business Combination or any employee
         benefit plan (or related trust) of the Company or such corporation
         resulting from such Business Combination) beneficially owns, directly
         or indirectly, 20% or more of, respectively, the then outstanding
         shares of common stock of the corporation resulting from such Business
         Combination or the combined voting power of the then outstanding voting
         securities entitled to vote generally in the election of directors of
         such corporation except to the extent that such ownership existed prior
         to the Business Combination and (iii) at least a majority of the
         members of the board of directors of the corporation resulting from
         such Business Combination were members of the Incumbent Board at the
         time of the execution of the initial agreement, or of the action of the
         Board, providing for such Business Combination; or

                  (d) Approval by the stockholders of the Company of a complete
         liquidation or dissolution of the Company."

         2. Section 4.1 of the Plan is amended by deleting therefrom the clause
beginning with "provided that" and ending with "foregoing schedule" which
immediately precedes the last sentence of such section and substituting in lieu
thereof the following:

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         "provided, however, that (i) in the event of a Change of Control of the
         type set forth in paragraph (a), (b) or (d) of the definition of Change
         of Control and (ii) immediately prior to the occurrence of a Change of
         Control of the type set forth in paragraph (c) of the definition of
         Change of Control, each Option outstanding under the Plan shall become
         exercisable in whole or in part without regard to the foregoing
         schedule."

         3. Subsection 4.2(d) of the Plan is amended by deleting therefrom in
its entirety the second paragraph thereof and inserting in lieu thereof the
following:

                  "Subject to any action required by the stockholders, in the
         event of a Business Combination that does not result in a Change of
         Control, each Option outstanding under the Plan shall pertain to and
         apply to the securities or other consideration that a holder of the
         number of shares of Common Stock underlying the Option would have been
         entitled to receive in the Business Combination. In the event of a
         Business Combination that results in a Change of Control of the type
         set forth in paragraph (c) of the definition of Change of Control or in
         the event of the complete liquidation or dissolution of the Company,
         then each outstanding Option shall terminate; provided, however, that
         each Optionee shall, in such event, have the right immediately prior to
         such Change of Control or complete liquidation or dissolution, to
         exercise his or her Option in whole or in part without regard to any
         installment provision that might be contained in the applicable Option
         Agreement."

         4. Section 4.2(f) of the Plan is amended by deleting therefrom in its
entirety the penultimate sentence thereof and substituting in lieu thereof the
following:

                  "(f) Each Option Agreement also shall provide for acceleration
         of exercisability in the event of a Change of Control."

         5. The Company reserves the right by action of the Committee to amend
further at any time any of the terms and provisions of the Plan as amended
hereby. Except as expressly or by necessary implication amended hereby, the Plan
shall continue in full force and effect.


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