This Second Amendment to Employment Agreement (the "Amendment"),
effective as of February 1, 2001, by and between IndyMac Bancorp, Inc., a
Delaware corporation, formerly known as IndyMac Mortgage Holdings, Inc.
("Employer"), and David S. Loeb ("Officer"), amends that certain Employment
Agreement, dated as of December 30, 1998, by and between Employer and Officer,
as amended as of February 29, 2000 (the "Employment Agreement").

        In consideration of the mutual promises and covenants herein contained,
the parties hereto agree as follows:

        1.      Increase in Base Salary. Paragraph 4(a) of the Employment
Agreement is hereby deleted in its entirety and the following is substituted

        "(a) Base Salary. Employer shall pay to Officer a base salary in each
        fiscal year of Employer (a "Fiscal Year") or portion thereof during the
        remaining term of this Agreement at the annual rate of $700,000. Such
        base salary shall be subject to annual review by the Board for increase
        (but not decrease)."

        2.      Special Stock Option Grant. The third sentence of Section 4(c)
of the Employment Agreement (which was added by the February 29, 2000 amendment
to the Agreement and relates to annual stock option grants) is hereby deleted in
its entirety. The following sentence is substituted therefor:

        "Notwithstanding the foregoing sentence, and specifically in lieu of
        annual grants of stock options or restricted shares during the remaining
        term of this Agreement (i.e., from February 1, 2001 through December 31,
        2003), Employer will grant to Officer on February 5, 2001 an option to
        acquire 500,000 shares of the common stock of Employer (the "Special
        Options"). The Special Options will vest in equal annual installments
        over a five-year period from the date of grant, but will become fully
        vested and exercisable (a) on December 31, 2003 if the term of this
        Agreement is not renewed on or prior to December 31, 2003 or (b) on the
        date of termination of employment if Officer's employment is terminated
        as a result of his retirement or death."

        3.      Ratification of Employment Agreement. As amended hereby, the
Employment Agreement shall be and remain in full force and effect.

                         (signatures on following page)

<PAGE>   2
        IN WITNESS WHEREOF, the parties have executed this Amendment as of the
date first above written.

                              INDYMAC BANCORP, INC.


--------------------            -------------------------------
Secretary                               Michael W. Perry
                                  its Chief Executive Officer


                                David S. Loeb, in his individual capacity


Source: OneCLE Business Contracts.