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                                                                 Exhibit 10.3.2A

                               AMENDMENT NO. 2 TO
                              EMPLOYMENT AGREEMENT

                  This Amendment No. 2 to the Employment Agreement, dated as of
May 1, 1994, among Investment Technology Group, Inc., a Delaware corporation
("Holding"), ITG Inc., a Delaware corporation, and Raymond L. Killian, Jr. (the
"Employee") (the "Employment Agreement") is made and entered into among the
parties as of this 22nd day of November, 1995.

                  WHEREAS, the parties previously entered into the Employment
Agreement which, among other things, provided for the grant to the Employee of a
stock option to purchase shares of the Common Stock, par value $.01 per share
(the "Common Stock") of Holding;

                  WHEREAS, the Board of Directors of Holding has determined that
it is in the interests of Holding to permit employees to elect to exchange a
portion of their existing stock options for new stock options to purchase shares
of Common Stock at various exercise prices; and

                  WHEREAS, the Employee has elected to exercise his right to
exchange all or a portion of his existing stock options for new stock options to
purchase shares of Common Stock;

                  NOW, THEREFORE, the parties agree to amend the Employment
Agreement as follows:

                  1. Capitalized terms used in this Amendment and not otherwise
defined shall have the meanings assigned thereto in the Employment Agreement. In
addition, as used in this Amendment, the following terms have the assigned
meanings:

                  "New Options" mean the stock options granted by Holding to the
Employee hereby to acquire the number of shares of Common Stock identified on
Appendix A hereto as subject to options with exercise prices of $9.13 and $11.06
per share, as listed under the caption "Options Outstanding".

                  "Old Option" means the stock option previously granted by
Holding to the Employee to acquire the number of shares of Common Stock
identified on Appendix A hereto as subject to options with an exercise price of
$13.00 per share, as listed under the caption "Options Outstanding".

                  "Option Prices" mean the exercise prices in respect of the New
Options and the Old Option, as such exercise prices are set forth on Appendix A
hereto under the caption "Options Outstanding".

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                  "Originally Granted Option" means the stock option previously
granted by Holding to the Employee to acquire the number of shares of Common
Stock set forth on Appendix A under the caption "Originally Granted Option".

                  2. Section 5 of the Employment Agreement is amended by
deleting such section in its entirety and substituting therefor new Section 5
set forth below:

                           5.  Stock Option.

                           5.1.1. Holding hereby grants to the Employee
         nonqualified New Options to purchase shares of the Common Stock for the
         numbers of shares of Common Stock identified on Appendix A hereto as
         subject to options with exercise prices of $9.13 and $11.06 per share
         listed under the caption "Options Outstanding". The New Options are
         intended to be nonqualified stock options, and the Old Option is a
         nonqualified stock option and neither shall be treated as incentive
         stock options under the provisions of the Internal Revenue Code of
         1986, as amended. The New Options and Old Option are fully vested and
         nonforfeitable, and shall remain exercisable whether or not employment
         continues. The grant of the New Options are (and the grant of the Old
         Option was) exempt from the provisions of Section 16(b) of the
         Securities Exchange Act of 1934 pursuant to the provisions of Rule
         16b-3, all of the requirements of which have been satisfied.

                           5.1.2. The number of shares of Common Stock that may
         be acquired upon exercise of the Originally Granted Option is hereby
         reduced to the number of shares identified on Appendix A hereto as
         subject to options with an exercise price of $13.00 per share listed
         under the caption "Options Outstanding".

                           5.1.3. In consideration for Holding's grant of the
         New Options to the Employee hereunder, as a condition of such grant,
         the Employee hereby surrenders to Holding, for cancellation and
         termination, that portion of the Originally Granted Option set forth on
         Appendix A hereto under the caption "Options Surrendered Upon
         Conversion". Accordingly, such portion of the Originally Granted Option
         is hereby canceled and terminated as of the date of this Agreement.

                           5.2. (a) The Old Option (to the extent not earlier
         exercised) will expire at 11:59 p.m., New York City time, on April 30,
         1999.

                           (b) The New Options (to the extent not earlier
         exercised) will expire at 11:59 p.m., New York City time, on November
         21, 2000.

                           5.3.1. The Old Option may be exercised in whole or in
         part at any time at the earlier of (i) May 1, 1997 or (ii) immediately
         prior to a change 

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         of control (as hereinafter defined). The New Options may be exercised
         in whole or in part at any time at the earlier of (i) November 22, 1998
         or (ii) immediately prior to a change of control (as hereinafter
         defined). Written notice of exercise of the New Options or the Old
         Option shall be given to the Secretary of Holding and shall be deemed
         to have been received either when delivered personally to the office of
         the Secretary or at 11:58 p.m. on the date of any U.S. Postal Service
         postmark on the notice, whichever is earlier. Such notice shall be
         irrevocable and must be accompanied by the payment of the purchase
         price as provided in Section 5.4 below. Upon the exercise of the New
         Options or the Old Option, Holding will transfer or will cause to be
         issued a certificate or certificates for the Common Stock being
         purchased as promptly as practicable.

                           5.3.2. "Change of control" shall mean (1) any event
         that results in Jefferies Group, Inc. ("Group") owning less than eighty
         percent (80%) of the Common Stock of Holding (other than a spin-off or
         split-off of Holding) or (2) a sale of more than fifty percent (50%) of
         the Common Stock of Holding, a merger of Holding with or into an
         unaffiliated entity or a sale of substantially all of Holding's assets.

                           5.4. The purchase price of Common Stock purchased by
         the Employee upon exercise of the New Options and the Old Option (the
         "Option Shares") shall be paid in full to Holding at the time of such
         exercise in cash (including by check) or with Common Stock of Holding.

                           5.5. In the event that the number of authorized
         shares of Common Stock of Holding are increased, decreased or exchanged
         for a different number or kind of security, or additional shares or new
         or different shares or other non-cash assets are distributed with
         respect to such shares or other securities (whether by reason of
         recapitalization, reclassification, stock dividend, stock split,
         reverse stock split or other similar transaction), then in order to
         prevent dilution or enlargement of rights hereunder, the Board of
         Directors of Holding shall make appropriate and proportionate
         adjustments in the New Options and the Old Option. In the event that
         Holding is the surviving corporation in any reorganization, merger or
         consolidation, then the New Options and the Old Option shall pertain to
         and apply to the securities to which a holder of the number of shares
         of Common Stock subject to such options would have been entitled
         immediately following such reorganization, merger or consolidation, and
         corresponding proportionate adjustments shall be made to such options.

                           5.6. The Employee represents and warrants that the
         Employee acquired the Old Option, and is acquiring the New Options, for
         his own account and not with a view to distribution of such options or
         the Option Shares. As a condition to the exercise of the New Options or
         the Old Option and in the event that the Option Shares have not yet
         been registered under the Securities Act of 

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         1933, as amended (the "Act") at the time they are issued, Holding may
         require the Employee to make any representation and/or warranty to
         Holding as may, in the judgment of counsel to Holding, be required
         under any applicable law or regulation, including but not limited to a
         representation and warranty that the Option Shares are being acquired
         only for investment and without any present intention to sell or
         distribute such shares if, in the opinion of counsel for Holding, such
         a representation is required under the Act or any other applicable law,
         regulation or rule of any governmental agency.

                           5.7. Neither the Employee nor any other person shall
         have any right to commute, sell, assign, transfer, pledge, anticipate,
         mortgage or otherwise encumber, transfer, hypothecate or convey the New
         Options or the Old Option or any amounts payable pursuant to the
         provisions of this Agreement, which options and amounts are, and all
         rights under this Agreement are, expressly declared to be unassignable
         and nontransferable, other than by will or under the laws of descent
         and distribution. No part of the New Options or the Old Option or such
         amounts payable shall be subject to seizure or sequestration for the
         payment of any debts, judgments, alimony or separate maintenance owed
         by the Employee or any other person, nor be transferable by operation
         of law in the event of the Employee's or any other person's bankruptcy
         or insolvency.

                           5.8. Neither the Employee nor any other person shall
         acquire by reason of the New Options, the Old Option or the Option
         Shares any right in or title to any assets, funds or property of
         Holding whatsoever including, without limiting the generality of the
         foregoing, any specific funds or assets which Holding, in its sole
         discretion, may set aside in anticipation of a liability. No trust
         shall be created in connection with or by the granting of the New
         Options or the Old Option or the purchase of any Option Shares, and any
         benefits which become payable hereunder shall be paid from the general
         assets of Holding. The Employee shall have only a contractual right to
         the amounts, if any, payable pursuant to this Agreement, unsecured by
         any asset of Holding or any of its affiliates.

                           5.9. Nothing herein will limit Holding's right to
         issue Common Stock, or options or other rights to purchase Common
         Stock, to its employees, subject to vesting, expiration and other terms
         and conditions deemed appropriate by Holding and its affiliates.

                           5.10. The Employee authorizes Holding to withhold, in
         accordance with any applicable law, from any compensation payable to
         him any taxes required to be withheld by federal, state or local law
         upon the issuance of Option Shares or the payment of money pursuant to
         the exercise of the New Options or the Old Option.

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                  3. Section 6 of the Agreement is amended by deleting such
section in its entirety and substituting therefor the following:

                           6. Option Shares. Shares issued pursuant to exercise
         of the New Options and the Old Option shall be shares of Common Stock,
         the issuance of which is registered under the Act. In the event that
         the New Options or Old Option evidenced hereby represents the right to
         acquire a fractional share of Common Stock, Holding shall not be
         obligated to issue any fractional share certificate at the time of
         exercise of such option but shall, at the time of exercise of any such
         option, eliminate the Employee's right to acquire a fractional share
         interest by paying to the Employee an amount determined by multiplying
         the then fair market value of a share of Common Stock by the amount of
         such fractional interest. Payment of such amount may be made by Holding
         by reducing the amount of the exercise price otherwise payable by the
         Employee at the time of exercise of any such option.

                  4. Except as expressly amended hereby, the terms of the
Employment Agreement shall remain in full force and effect.

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                  IN WITNESS WHEREOF, the parties hereto have executed this
Amendment No. 2 to Employment Agreement as of the date first above written.

"Holding"                         INVESTMENT TECHNOLOGY GROUP, INC.,
                                  a Delaware corporation



                                  By:____________________________
                                       James Lynch
                                       Vice President and General Counsel


"Company "                        INVESTMENT TECHNOLOGY GROUP, INC.,
                                  a Delaware corporation



                                  By:____________________________
                                       James Lynch
                                       Vice President and General Counsel

"Employee"

                                  -------------------------------
                                  Raymond L. Killian, Jr.

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