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                                                                     EXHIBIT 4.3


                              THE BISYS GROUP, INC.

                      Non-Qualified Stock Option Agreement

Employee/Optionee:

Number of Option Shares:

Pursuant to a Merger Agreement dated May 28, 1999, by and among HML, Inc.
("HML") and The BISYS Group, Inc. (the "Company"), among others, the Company has
agreed to assume your existing options previously granted for a total of
shares of HML common stock (the "Assumed Options") and to convert same into and
issue this option (the "Option") to purchase the number of shares of the
Company's Common Stock, $.02 par value ("Common Stock"), set forth above. You
accept this Option in conversion and exchange for your prior HML options. Such
number of shares (as such may be adjusted as described in Section 10 below) is
herein referred to as the "Option Shares". This Option shall constitute and be
treated as a "non-qualified stock option" as described in Treasury Regulation
Section 1.83-7 for federal income tax purposes. The terms and conditions of this
Option are set out below. You further agree that this Option will be deemed
subject to the terms and conditions of the Company's 1996 Stock Option Plan (the
"Plan").

1.       Date of Grant. This Option is granted to you as of the "Grant Date" set
         forth on the Grant Detail Report (which is the initial date of grant of
         the Assumed Options).

2.       Termination of Option. Your right to exercise this Option (and to
         purchase the Option Shares) shall expire and terminate in all events on
         the earliest to occur of:

                  (i)      the "Expiration Date" set forth on the Grant Detail
                           Report; or

                  (ii)     the date provided in Sections 8(a), 8(b) or 8(c)
                           below in the event you cease to be employed on a
                           full-time basis by the Company or any Subsidiary of
                           the Company (as defined in the Plan).

3.       Option Price. The purchase price to be paid upon the exercise of this
         Option shall be the "Option Price" set forth on the Grant Detail
         Report, which represents the exercise price per share of the Assumed
         Options as converted pursuant to the terms of the Merger Agreement.

4.       Vesting Provisions. This option shall vest and thereupon become
         exercisable in accordance with the schedule set forth


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         under the captions "Options Vested" and "Options Becoming Exercisable"
         on the Grant Detail Report, which is the same vesting schedule as the
         Assumed Options.

5.       Additional Provisions Relating to Exercise.

         (a)      Once you become entitled to exercise this Option (and purchase
                  Option Shares) as provided in Section 4 hereof, such right
                  will continue until the date on which this Option expires and
                  terminates pursuant to Section 2 hereof.

         (b)      The Committee, in its sole discretion, may at any time
                  accelerate the time at which this Option may be exercised by
                  you with respect to any Option Shares. In furtherance of the
                  foregoing, in the event of:

                  (i)      a sale or other disposition of more than 50% of the
                           outstanding Common Stock of the Company to an
                           unrelated and unaffiliated third party purchaser,
                           other than in connection with an underwritten public
                           offering registered under the Securities Act of 1933,
                           as amended ( a "Stock Sale") or,

                  (ii)     a sale of substantially all of the assets of the
                           Company (as determined by the Board of Directors of
                           the Company) to an unrelated and unaffiliated third
                           party purchase (an "Asset Sale"),

                  in which the purchaser, in the case of either a Stock Sale or
                  an Asset Sale, does not offer to substitute new or
                  substantially equivalent stock options with respect to all
                  Option Shares which you had theretofore not otherwise become
                  entitled to purchase hereunder ("Unvested Option Shares"),
                  then if the Board of Directors of the Company determines that
                  the Company had achieved not less than 90% of its business
                  plan immediately preceding the completion of such Stock Sale
                  or Asset Sale, as the case may be, the Committee may (but
                  shall in no event be required to), in its sole discretion,
                  thereupon permit you to exercise this Option with respect to
                  50% of such Unvested Option Shares. In connection with the
                  foregoing, you hereby understand and acknowledge that the
                  terms of the preceding sentence shall not be binding on the
                  Board of Directors of the Company of the Committee.

6.       Exercise of Option.

         (a)      To exercise the Option, you must deliver a completed copy of
                  the attached Option Exercise Form to the address indicated on
                  the Form, specifying the number of Option Shares being
                  purchased as a result of such


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                  exercise, together with payment of the full option price for
                  the Option Shares being purchased. Payment of the option price
                  must be made in cash or by check or by use of any cashless
                  stock option exercise program offered by the Company through a
                  brokerage firm.

         (b)      At the time of the exercise, you will recognize as taxable
                  ordinary income (compensation income), an amount equal to the
                  excess of the fair market value of the exercised option shares
                  on the date of exercise over the exercise price.

7.       Transferability of Option. This Option may not be transferred by you
         (other than by will or the laws of descent and distribution) and may be
         exercised during your lifetime only by you.

8.       Termination of Employment.

         (a)      In the event that you cease to be employed by the Company or
                  any Subsidiary on a full-time basis for any reason other than
                  because of your death or "disability" (within the meaning of
                  Section 22(e)(3) of the Code), this Option may only be
                  exercised within one month after you cease to be so employed,
                  and only to the same extent that you were entitled to exercise
                  this Option on the date you ceased to be so employed and had
                  not previously done so.

         (b)      In the event that you cease to be employed by the Company or
                  any Subsidiary on a full-time basis by reason of "disability"
                  (as defined in paragraph (a) above, this Option may only be
                  exercised within one year after the date you cease to be so
                  employed, and only to the same extent that you were entitled
                  to exercise this Option on the date you ceased to be so
                  employed by reason of such disability and had not previously
                  done so.

         (c)      In the event that you die while employed on a full-time basis
                  by the Company or any Subsidiary (or within a period of one
                  month after ceasing to be employed by the Company or any
                  Subsidiary on a full-time basis for any reason other than
                  "disability" (as defined in paragraph (a) above) or within a
                  period of one year after ceasing to be employed by the Company
                  on a full-time basis by reason of such "disability"), this
                  Option may only be exercised within one year after your death.
                  In such event, this Option may be exercised during such one
                  year period by the executor or administrator of your estate or
                  by any person who shall have acquired the Option through
                  bequest or inheritance, but only to the same extent that you
                  were entitled to exercise this


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                  Option immediately prior to the time of your death and you had
                  not previously done so.

         (d)      Notwithstanding any provisions contained in this Section 8 to
                  the contrary, in no event may this Option be exercised to any
                  extent by anyone after the Expiration Date.

9.       Representations. You further represent and warrant that you understand
         the Federal, state and local income tax consequences of the granting of
         this Option to you, the exercise of this Option and purchase of Option
         Shares, and the subsequent sale or other disposition of any Option
         Shares. In addition, you understand that the Company may be required to
         withhold Federal, state or local taxes in respect of any compensation
         income realized by you as result of any of any Option Shares acquired
         upon exercise of the option granted hereunder. In the event that the
         Company is required to withhold any such taxes, you hereby agree to
         provide the Company with cash funds equal to the total Federal, state
         and local taxes required to be so withheld, or make other arrangements
         satisfactory to the Company regarding such payment. It is understood
         that all matters with respect to the total amount of taxes to be
         withheld in respect of any such compensation income shall be determined
         by the Committee in its sole discretion.

10.      Adjustments.

         (a)      Subject to paragraph (b) below, if the total outstanding
                  shares of Common Stock of the Company shall be increased or
                  decreased or changed into or exchanged for a different number
                  or kind of shares of stock or other securities of the Company
                  or of another corporation through reorganization, combination
                  or exchange of shares or declaration of any dividends payable
                  in stock, then the Board of Directors shall appropriately
                  adjust the number of Option Shares (and price per share)
                  subject to the unexercised portion of this Option (to the
                  nearest possible full share) subject in all cases to the
                  limitations of Section 425 of the Code.

         (b)      Notwithstanding the foregoing, in the event of:

                  (i)      any offer to holders of Common Stock generally
                           relating to the acquisition of their shares
                           including, without limitation, through purchase,
                           merger, consolidation or otherwise or

                  (ii)     any transaction generally relating to the acquisition
                           of substantially all of the assets or business of the
                           Company,


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                  then the Board of Directors may make such adjustment as it
                  deems equitable in respect of this Option including, without
                  limitation, the revision or cancellation of this Option. Any
                  such determination by the Board of Directors shall be
                  effective and binding for all purposes of this Agreement.

11.      Continuation of Employment. Neither the Plan nor this Option shall
         confer upon you any right to continue in the employ of the Company or
         any Subsidiary or limit in any respect the right of the Company or any
         Subsidiary to terminate your employment at any time.

12.      Plan Documents. This Option Agreement is qualified in its entirety by
         reference to the provisions of the Plan applicable to "non-qualified
         stock options" which are hereby incorporated herein by reference.

13.      Governing Law. This Agreement shall be governed by and construed in
         accordance with the laws of the State of Delaware. If any one or more
         provisions of this Agreement shall be found to be illegal or
         unenforceable in any respect, the validity and enforceability of the
         remaining provisions hereof shall not be in any way affected or
         impaired thereby.

Please acknowledge receipt of this Option Agreement by signing the enclosed copy
of this Non-Qualified Option Agreement in the space provided below and returning
it promptly to the Chairman of the Company.


                                            THE BISYS GROUP, INC.


                                            By:________________________________
                                               Lynn J. Mangum


ACCEPTED AND AGREED TO
as of the Grant Date:

_____________________________________
Employee/Optionee


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