Document:

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                                                                    EXHIBIT 4(r)

                          CERTIFICATE OF DESIGNATIONS

                                      OF

                    4% SERIES A CONVERTIBLE PREFERRED STOCK

                                      OF

                         BAY VIEW CAPITAL CORPORATION

                             ____________________

   Pursuant to Section 151(g) of the General Corporation Law of the State of
                                   Delaware

                             ____________________

          Bay View Capital Corporation, a corporation organized and existing
under the laws of the State of Delaware (hereinafter the "Corporation"), DOES
                                                          -----------
HEREBY CERTIFY THAT, pursuant to authority conferred upon the Board of Directors
of the Corporation (the "Board") by the Certificate of Incorporation of the
                         -----
Corporation, the Board unanimously authorized and empowered the Special
Committee to approve the issuance of the 4% Series A Convertible Preferred Stock
and all matters associated therewith.

          The Special Committee, pursuant to the authority conferred upon it by
the Board, unanimously adopted the following resolutions on _____________, 2001
authorizing the issuance of the 4% Series A Convertible Preferred Stock of the
Corporation, which resolutions are still in full force and effect and are not in
conflict with any provisions of the Certificate of Incorporation or Bylaws of
the Corporation:

          RESOLVED, that pursuant to authority vested in the Special Committee
by the Board and the Certificate of Incorporation, the Special Committee does
hereby establish a series of preferred stock of the Corporation from the
Corporation's authorized class of 7,000,000 shares of $.01 par value preferred
shares (the "Preferred Stock"), such series to consist of ___ shares, and does
             ---------------
hereby fix and state the voting rights, designation, powers, preferences and
relative, optional or other special rights and the qualifications, limitations
or restrictions thereof, as follows:

          1.   Designation and Amount; Stated Value.  The shares of such series
               ------------------------------------
of Preferred Stock shall be designated as "4% Series A Convertible Preferred
Stock" (the "Series A Preferred Stock"), and the number of shares constituting
             ------------------------
such series shall be ____.  The initial liquidation preference of the Series A
Preferred Stock shall be $_____ per share (the "Stated Value"), which Stated
                                                ------------
Value shall be proportionately increased or decreased for any stock
consolidation or stock split, respectively, of the outstanding shares of Series
A Preferred Stock.

          2.   Definitions.  For the purposes of this Certificate of
               -----------
Designations, the following definitions apply:

               "Board" means the Board of Directors of the Corporation.
                -----

               "Business Day" means any day that is not a Saturday, Sunday or
                ------------
     day on which banks in California are required or permitted to be closed.
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               "Capital Stock" means (i) in the case of a corporation, corporate
                -------------
     stock, (ii) in the case of an association or business entity, any and all
     shares, interests, participations, rights or other equivalents (however
     designated) of corporate stock, (iii) in the case of a partnership,
     partnership interests (whether general or limited), and (iv) any other
     interest or participation that confers on a Person the right to receive a
     share of the profits and losses of, or distributions of assets of, the
     issuing Person.

               "Common Equity" means all shares now or hereafter authorized of
                -------------
     any class of common stock of the Corporation (including the Common Stock)
     and any other stock of the Corporation, however designated, authorized
     after the Original Issue Date, that has the right (subject always to prior
     rights of any class or series of preferred stock) to participate in any
     distribution of the assets or earnings of the Corporation without limit as
     to per share amount, but shall not include the Series A Preferred Stock or
     any Parity Securities or Senior Securities.

               "Common Stock" means the Common Stock, par value $.01 per share,
                ------------
     of the Corporation.

               "Current Market Price" means the average of the daily closing
                --------------------
     prices of Common Stock for the five consecutive trading days selected by
     the Board beginning not more than 20 trading days before, and ending not
     later than the date of the applicable event described in Section 5.2(c) or
     (d), as applicable, and the date immediately preceding the record date
     fixed in connection with that event.

               "DGCL" means the Delaware General Corporation Law, as amended
                ----
     from time to time.

               "Dividend Payment Date" means each _____ __, _____ __, ______ __
                ---------------------
     and _______ __ of each year.

               "Fair Market Value" means the fair market value, as determined by
                -----------------
     the Board, whose determination in good faith shall be conclusive.

               "Fundamental Change" means any transaction or event, including
                ------------------
     any merger, consolidation, sale of assets, tender or exchange offer,
     reclassification, compulsory share exchange or liquidation, in which all or
     substantially all outstanding shares of Common Stock are converted into or
     exchanged for stock, other securities, cash or assets.

               "Junior Securities" means any class or series of Capital Stock of
                -----------------
     the Corporation that ranks junior to the Series A Preferred Stock as to
     dividend distributions or distributions upon the liquidation, winding up
     and dissolution of the Corporation including, without limitation, the
     Common Stock and any other Common Equity.

               "Liquidation Event" means, with respect to any Person, any of the
                -----------------
     following events: (a) the commencement by such Person of a voluntary case
     under the bankruptcy laws of the United States, as now or hereafter in
     effect, or the commencement of an involuntary case against such Person with
     respect to which the petition shall not be

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     controverted within 15 days, or be dismissed within 60 days, after
     commencement thereof; (b) the appointment of a custodian for, or the taking
     charge by a custodian of, all or substantially all of the property of such
     Person; (c) the commencement by such Person of any proceeding under any
     reorganization, arrangement, adjustment of debt, relief of debtors,
     dissolution, insolvency or liquidation or similar law of any jurisdiction
     whether now or hereafter in effect relating to such Person; (d) the
     commencement against such Person of any proceeding set forth in the
     preceding clause (c), that is not controverted within 10 days thereof and
     dismissed within 60 days after the commencement thereof; (e) the
     adjudication of such Person as insolvent or bankrupt, or the adoption by
     such Person of a plan of liquidation, (f) a reduction or decrease in the
     Capital Stock resulting in a distribution of assets to holders of any class
     or series of the Capital Stock, or (g) the filing of a certificate of
     dissolution in respect of the Corporation with the Secretary of State of
     the State of Delaware; in any of cases (b) through (f) above, in a single
     transaction or series of related transactions. Notwithstanding the
     foregoing, neither the voluntary sale, conveyance, exchange or transfer,
     for cash, shares of stock, securities or other consideration, of all or
     substantially all of the Corporation's property or assets nor the
     consolidation, merger or amalgamation of any Person with or into the
     Corporation will be deemed a Liquidation Event.

               "Liquidation Preference" shall have the meaning set forth in
                ----------------------
     Section 4.

               "Measuring Date" shall have the meaning set forth in Section
                --------------
     5.2(a).

               "Original Issue Date" means ___________ __, 2001.
                -------------------

               "Parity Securities" means any class or series of Capital Stock of
                -----------------
     the Corporation that ranks pari passu to the Series A Preferred Stock as to
     dividend distributions or distributions upon the liquidation, winding up
     and dissolution of the Corporation.

               "Person" shall mean an individual, corporation, trust,
                ------
     partnership, joint venture, unincorporated organization, limited liability
     company, government agency or any agency or political subdivision thereof,
     or other entity.

               "Preferred Stock" shall have the meaning set forth in the
                ---------------
     Recitals.

               "Rights" shall have the meaning set forth in Section 5.2(c).
                ------

               "Senior Securities" means any class or series of Capital Stock of
                -----------------
     the Corporation that ranks senior to the Series A Preferred Stock as to
     dividend distributions or distributions upon the liquidation, winding up
     and dissolution of the Corporation.

               "Series A Conversion Price" shall have the meaning set forth in
                -------------------------
     Section 5.2.

               "Series A Dividends" shall have the meaning set forth in Section
                ------------------
     3.1(a).

               "Series A Preferred Stock" shall have the meaning set forth in
                ------------------------
     Section 1.

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               "Special Committee" shall mean the Special Committee appointed by
                -----------------
     the Board to approve the issuance of the Series A Preferred Stock and all
     matters associated therewith.

               "Stated Value" shall have the meaning, and shall be subject to
                ------------
     the adjustments, set forth in Section 1.

               "Warrants" shall have the meaning set forth in Section 5.2(c).
                --------

          3.   Dividend Rights.
               ---------------

               3.1  Annual Dividends.
                    ----------------

               (a)  Subject to Section 3.1(g), the holders of shares of Series A
Preferred Stock shall be entitled to receive, out of any funds legally available
therefor and prior and in preference to any declaration or payment of any
dividend on the shares of Common Stock (other than a dividend payable solely in
additional shares of Common Stock) and any other Common Equity, cumulative
dividends accruing from the Original Issue Date at a rate per share equal to
four percent (4%) per annum multiplied by the Stated Value per share of the
Series A Preferred Stock. Subject to Section 3.1(g), dividends shall be payable
to holders of record of shares of Series A Preferred Stock as they appear in the
Corporation's stock records at the close of business on the Dividend Payment
Date or on a record date that is fixed by the Board and that is not more than 60
days and not less than 10 days before the applicable Dividend Payment Date.
Dividends pursuant to this Section 3.1(a) shall be denominated herein as "Series
A Dividends."

               (b)  To the extent not paid pursuant to Section 3.1(a), Series A
Dividends shall accumulate on a daily basis, whether or not there are funds
legally available for the payment of such dividends and whether or not dividends
are declared.

               (c)  All Series A Dividends paid with respect to shares of the
Series A Preferred Stock pursuant to this Section shall be paid pro rata to the
holders thereof entitled thereto based on their respective numbers of shares of
Series A Preferred Stock.

               (d)  Accrued but unpaid Series A Dividends for any past dividend
period may be declared and paid at any time, without reference to any regular
Dividend Payment Date, together with all accrued and unpaid Series A Dividends
thereon, to holders of Series A Preferred Stock of record on such date, not more
than 60 days prior to the payment thereof, as may be fixed by the Board.

               (e)  Series A Dividends payable on shares of the Series A
Preferred Stock for any period less than a year shall be computed on the basis
of a 360-day year of twelve 30-day months. If any Dividend Payment Date occurs
on a day that is not a Business Day, any accrued Series A Dividends otherwise
payable on such Dividend Payment Date shall be paid on the next succeeding
Business Day.

               (f)  Each fractional share of Series A Preferred Stock
outstanding shall be entitled to a ratably proportionate amount of all Series A
Dividends accruing with respect to each outstanding share of Series A Preferred
Stock and all of such Series A Dividends with

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respect to such outstanding fractional shares shall be fully cumulative and
shall accrue (whether or not declared) and shall be payable in the same manner
and at such times as provided for in this Section 3.1 with respect to Series A
Dividends on each outstanding share of Series A Preferred Stock.

               (g)  Notwithstanding anything herein to the contrary, no Series A
Dividend shall be paid unless (i) the Company has obtained the prior approval of
the Federal Reserve Bank of San Francisco and (ii) the payment of such dividend
is in compliance with applicable laws and regulations.

               (h)  In the event that the outstanding shares of Series A
Preferred Stock are converted into shares of Common Stock pursuant to Section 5
hereof prior to the first Dividend Payment Date, the holders of the Series A
Preferred Stock shall be entitled to receive, subject to Section 3.1(g), out of
any funds legally available therefor and prior and in preference to any
declaration or payment of any dividend on the shares of Common Stock (other than
a dividend payable solely in additional shares of Common Stock) or any other
Common Equity, a Series A Dividend accruing from the Original Issue Date through
the first Dividend Payment Date. Such Series A Dividend shall be payable to
holders who were sent a Conversion Notice pursuant to Section 5 hereof.

               3.2. Other Dividends. Subject to regulatory approval, the holders
                    ---------------
of the shares of Series A Preferred Stock shall be entitled to receive, when, as
and if declared by the Board, out of any funds legally available therefor, cash
dividends per share equal to the cash dividends per share paid on the shares of
Common Stock.

               3.3. Ranking.  So long as any shares of Series A Preferred Stock
                    -------
are outstanding, the Corporation shall not (a) declare, pay or set apart funds
for the payment of any dividend or other distribution with respect to any Junior
Securities or Parity Securities or (b) redeem, purchase or otherwise acquire for
consideration Junior Securities or Parity Securities through a sinking fund or
otherwise, unless the Corporation has paid or set apart funds for the payment of
all accrued and unpaid dividends with respect to Series A Preferred Stock and
any Parity Securities at the time such dividends are payable; provided, however,
                                                              --------  -------
that the Corporation may (i) declare and pay dividends on Junior Securities or
Parity Securities which are payable solely in shares of Parity Securities or
Junior Securities, in the case of Parity Securities, or Junior Securities, in
the case of Junior Securities, or by the increase in the liquidation value of
Junior Securities or Parity Securities and (ii) redeem, purchase or otherwise
acquire Junior Securities or Parity Securities in exchange for consideration
consisting of Parity Securities or Junior Securities, in the case of Parity
Securities, or Junior Securities, in the case of Junior Securities.

          4.   Liquidation Rights and Preferences.  Subject to the rights of
               ----------------------------------
additional series of Preferred Stock that may be designated by the Board from
time to time, including, without limitation, any Senior Securities, upon the
occurrence of any Liquidation Event, the holders of the Preferred Stock shall be
entitled to receive assets and funds of the Corporation prior and in preference
to any distribution of any of such assets and funds to the holders of the Common
Stock and any other Common Equity.  Upon the occurrence of any Liquidation
Event, the holders of the Series A Preferred Stock shall receive an amount per
share equal to the Stated Value of such share plus any declared or accumulated
but unpaid Series A Dividends for each share of Series A Preferred Stock held by
them (the "Liquidation Preference").  If the assets and funds available for
           ----------------------
distribution to the holders of the Series A Preferred Stock and any Parity
Securities upon a Liquidation Event shall be insufficient to permit the payment
to such holders of the full preferential amounts to which they are entitled,
then the entire assets and funds of the Corporation legally available for
distribution shall be distributed to the holders of the Series A

                                       5
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Preferred Stock and any Parity Securities in accordance with their respective
rights, and any amounts so distributed in respect of Series A Preferred Stock
shall be distributed among the holders of Series A Preferred Stock in proportion
to the shares of Series A Preferred Stock then held by them. After payment in
full of the Liquidation Preference, the holders of the Series A Preferred Stock
shall not be entitled to any further participation in any distribution of
assets.

          5.  Conversion.  The outstanding shares of Series A Preferred Stock
              ----------
shall be converted into Common Stock as follows:

              5.1   Automatic Conversion.
                    --------------------

               (a)  Upon the Corporation's delivery of notice (the "Conversion
Notice") to all of the holders of Series A Preferred Stock, as they appear in
the Corporation's then current stock records, that the Corporation has a
sufficient number of authorized, unissued and unreserved shares of Common Stock
to permit conversion of all outstanding shares of Series A Preferred Stock
pursuant to this Section 5, each share of Series A Preferred Stock shall be
automatically converted into fully paid and nonassessable shares of Common Stock
without the need for any further action by the holders of such shares and
whether or not the certificates representing such shares of Series A Preferred
Stock are surrendered to the Corporation or its transfer agent. The automatic
conversion of the Series A Preferred Stock shall be deemed to have occurred at
the close of business on the date of delivery of the Conversion Notice. The
Conversion Notice shall be deemed to have been delivered (i) when received if
given in person, (ii) on the date of electronic confirmation of receipt if sent
by telex, facsimile, or other wire transmission, (iii) three days after being
deposited in the U.S. mail, certified or registered mail, postage prepaid, or
(iv) one day after being deposited with a reputable overnight courier.

               (b)  If on the Original Issue Date there are a sufficient number
of authorized, unissued and unreserved shares of Common Stock to permit
conversion of all of the outstanding shares of Series A Preferred Stock pursuant
to this Section 5, then the Corporation shall, as soon as practicable following
the Original Issue Date, provide the holders with the Conversion Notice. If on
the Original Issue Date there are an insufficient number of authorized, unissued
and unreserved shares of Common Stock to permit conversion of all of the
outstanding shares of Series A Preferred Stock pursuant to this Section 5, then
the Corporation shall, as soon as practicable following the Original Issue Date,
submit to its stockholders a proposal to increase the number of authorized
shares of Common Stock by an amount sufficient to permit the conversion of all
of the outstanding shares of Series A Preferred Stock.

               (c)  Upon the automatic conversion of Series A Preferred Stock
pursuant to this Section 5, the holders of Series A Preferred Stock shall
surrender the certificates representing such shares at the office of the
Corporation or any transfer agent therefor accompanied by a written notice
specifying the name or names in which the holder wishes the certificate or
certificates for Common Stock to be issued. If the notice specifies a name or
names other than that of the holder, the notice must be accompanied by payment
of all transfer taxes payable upon the issuance of the shares of Common Stock in
that name or names. Thereupon, there shall be issued and delivered to such
holder promptly at such office and in its name as shown on such notice, a
certificate or certificates, as applicable, for the number of shares of

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Common Stock into which the shares of Series A Preferred Stock surrendered, were
convertible on the date that such automatic conversion occurred.

               (d)  Upon the automatic conversion of Series A Preferred Stock
pursuant to this Section 5, the shares of Series A Preferred Stock shall cease
to accrue Series A Dividends, but the shares of Series A Preferred Stock shall
continue to be entitled to receive all accrued Series A Dividends which the
holder is entitled to receive through the last preceding Dividend Payment Date,
subject to Section 3.1(g) hereof. Any accrued and unpaid Series A Dividends
shall be payable on the date that would have been the next succeeding Dividend
Payment Date; provided, however, that holders of Series A Preferred Stock shall
              --------  -------
be entitled to any Series A Dividends payable pursuant to Section 3.1(h) hereof;
provided further, that shares of Series A Preferred Stock converted after the
-------- -------
close of business on any record date for the payment of Series A Dividends
declared and before the opening of business on the Dividend Payment Date
relating to that record date must be accompanied by a payment in cash of an
amount equal to any Series A Dividend declared in respect of those shares.

               (e)  No fractions of shares of Common Stock shall be issued in
connection with the automatic conversion of the Series A Preferred Stock.
However, the Corporation shall pay a cash adjustment in respect of any
fractional interest in an amount equal to the fractional interest multiplied by
the Series A Conversion Price.  If more than one certificate evidencing shares
of Series A Preferred Stock shall be surrendered for conversion by the same
holder, the number of shares issuable upon conversion thereof shall be computed
on the basis of the aggregate number of shares of Series A Preferred Stock so
surrendered.

               5.2  Conversion Formula and Adjustments.  Each share of Series A
                    ----------------------------------
Preferred Stock automatically converted in accordance with Section 5.1 above
shall be converted into the number of shares of Common Stock that results from
dividing (1) the Stated Value by (2) the conversion price for the Series A
Preferred Stock that is in effect at the time of conversion (such conversion
price, the "Series A Conversion Price").  The initial Series A Conversion Price
            -------------------------
shall be ________.  The Series A Conversion Price will be subject to adjustment
from time to time as follows:

               (a)  Stock Splits and Combinations. If the Corporation should at
any time or from time to time after the Original Issue Date fix a record date
for the effectuation of a split, subdivision, reverse split or combination of
the outstanding shares of Common Stock or issuance of Capital Stock of the
Corporation by reclassification of the shares of Common Stock of the
Corporation, then, the Series A Conversion Price in effect immediately prior to
the earlier of such record date or the date of such split, subdivision, reverse
split, combination or reclassification (the "Measuring Date"), shall be adjusted
                                             --------------
so that each holder of Series A Preferred Stock shall be entitled to receive the
number of shares of Common Stock or other securities that the holder would have
owned or been entitled to receive after the Measuring Date had those shares of
Series A Preferred Stock been converted into Common Stock immediately prior to
the Measuring Date.

               (b)  Stock Dividends in Common Stock. If the Corporation should
at any time or from time to time after the Original Issue Date pay a dividend or
make a distribution in shares of Common Stock on any class of Capital Stock
(except the Series A Preferred Stock)

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other than dividends or distributions of shares of Common Stock or other
securities with respect to which adjustments are provided in paragraph (a)
above, and the total number of shares constituting the dividend or distribution
exceeds 5% of the total number of shares of Common Stock outstanding at the
close of business on the record date fixed for determination of stockholders
entitled to receive the dividend or distribution, the Series A Conversion Price
shall be adjusted so that the holder of each share of Series A Preferred Stock
shall be entitled to receive, upon conversion of that share, the number of
shares of Common Stock determined by multiplying (1) the Series A Conversion
Price by (2) a fraction, the numerator of which will be the number of shares of
Common Stock outstanding and the denominator of which will be the sum of that
number of shares and the total number of shares issued in that dividend or
distribution. If the total number of shares constituting that dividend or
distribution does not exceed 5% of the total number of shares of Common Stock
outstanding at the close of business on the record date fixed for that dividend
or distribution, the shares of Common Stock will be considered to be issued at
the time of any such next succeeding dividend or other distribution in which the
number of shares of Common Stock issued, together with the number of shares
issued in all previous such dividends and distributions since the most recent
adjustment under this Section 5.2(b), will exceed such 5% threshold.

               (c)  Issuance of Rights or Warrants. If the Corporation should at
any time or from time to time issue to all holders of Common Stock rights or
warrants expiring within 45 days entitling those holders to subscribe for or
purchase Common Stock at a price per share less than the Current Market Price
("Rights" or "Warrants", respectively), the Series A Conversion Price in effect
immediately before the close of business on the record date fixed for
determination of stockholders entitled to receive those Rights or Warrants will
be reduced by multiplying the Series A Conversion Price by a fraction, (1) the
numerator of which is the sum of (A) the number of shares of Common Stock
outstanding at the close of business on that record date and (B) the number of
shares of Common Stock that the aggregate offering price of the total number of
shares of Common Stock so offered for subscription or purchase would purchase at
the Current Market Price and (2) the denominator of which is the sum of (A) the
number of shares of Common Stock outstanding at the close of business on that
record date and (B) the number of additional shares of Common Stock so offered
for subscription or purchase. For purposes of this paragraph (c), the issuance
of rights or warrants expiring within 45 days entitling the holders to subscribe
for or purchase securities convertible into shares of Common Stock will be
deemed to be the issuance of Rights or Warrants to purchase shares of Common
Stock into which those securities are convertible at an aggregate offering price
equal to the sum of the aggregate offering price of those securities and the
minimum aggregate amount, if any, payable upon conversion of those securities
into shares of Common Stock. This adjustment shall be made successively whenever
any such event occurs, provided, however, that no adjustment shall occur with
                       --------  -------
respect to that certain rights offering by the Corporation pursuant to a
prospectus supplement dated ______.

               (d)  Distribution of Indebtedness, Capital Stock or Assets. If
the Corporation should at any time or from time to time distribute to all
holders of Common Stock, whether by dividend or in a merger, amalgamation or
consolidation or otherwise, evidences of indebtedness, shares of Capital Stock,
cash or assets, other than Common Stock, Rights or Warrants or a dividend
payable exclusively in cash and other than as a result of a Fundamental Change
described in paragraph (e) below, the Series A Conversion Price in effect
immediately

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before the close of business on the record date fixed for determination of
stockholders entitled to receive that distribution shall be reduced by
multiplying the Series A Conversion Price by a fraction, (1) the numerator of
which is (A) the Current Market Price on that record date less (B) the Fair
Market Value of the portion of those evidences of indebtedness, shares of
Capital Stock, other securities, cash and assets so distributed applicable to
one share of Common Stock and (2) the denominator of which is the Current Market
Price. This adjustment shall be made successively whenever any such event
occurs.

          (e)  Fundamental changes.  If a Fundamental Change occurs, the holder
of each share of Series A Preferred Stock outstanding immediately before that
Fundamental Change occurred, shall have the right upon any subsequent conversion
to receive, but only out of legally available funds, to the extent required by
applicable law, the kind and amount of stock, other securities, cash and assets
that that holder would have received if that share had been converted
immediately prior to the Fundamental Change.

          5.3  Notices of Record Date.  In the event of any taking by the
               ----------------------
Corporation of the record of the holders of any class of securities for the
purpose of determining the holders thereof who are entitled to receive any
dividend (other than a cash dividend) or other distribution, the Corporation
shall mail to each holder of Series A Preferred Stock, at least 20 Business Days
prior to the date specified herein, a notice specifying the date that any such
record is to be taken for the purpose of such dividend or distribution.

          5.4  Payment of Taxes.  Except as set forth in Section 5.1(c), the
               ----------------
Corporation shall pay all taxes (other than taxes based upon income) and other
governmental charges that may be imposed with respect to the issuance or
delivery of shares of Common Stock upon conversion of shares of Series A
Preferred Stock.

          5.5  No Impairment.  The Corporation shall not avoid or seek to avoid
               -------------
the observance or performance of any of the terms to be observed or performed
hereunder by the Corporation, but shall at all times in good faith assist in
carrying out all such action as may be reasonably necessary or appropriate in
order to protect the conversion rights of the holders of the Series A Preferred
Stock against impairment.

          5.6  No Reduction Below Par Value.  Notwithstanding any other
               ----------------------------
provision of this Section 5, no adjustment to the Series A Conversion Price
shall reduce the Series A Conversion Price below the then par value per share of
the Common Stock, and any such purported adjustment shall instead reduce the
Series A Conversion Price to such par value.

          5.7  Deferred Adjustment.  In any case in which this Section 5
               -------------------
provides that an adjustment to the Series A Conversion Price shall become
effective immediately after a record date for an event, the Corporation may
defer until the occurrence of such event (a) issuing to the holder of a share of
Series A Preferred Stock after such record date and before the occurrence of
such event the additional shares of Common Stock issuable upon such conversion
by reason of the adjustment required by such event over and above the Common
Stock issuable upon such conversion before giving effect to such adjustment and
(b) paying to such holder any amount in cash in lieu of any fractional share of
Common Stock pursuant to Section 5.1(e).

                                       9
<PAGE>

          6.   Voting Rights and Related Provisions.
               ------------------------------------

               6.1  Single Class Voting. Holders of Series A Preferred Stock
                    -------------------
shall have no voting rights except as required by law and as hereinafter
provided in this Section 6. Except as limited by law, the holders of Series A
Preferred Stock shall be entitled to vote or consent on all matters submitted to
the holders of Common Stock together with the holders of Common Stock voting as
a single class. Each share of Series A Preferred Stock shall entitle the holder
thereof to one vote for each share of Common Stock into which such share of
Series A Preferred Stock is convertible as of the record date for such vote or
consent, or if no record date is specified, as of the date of such vote or
consent.

               6.2  Protective Provisions.  So long as any shares of Series A
                    ---------------------
Preferred Stock are outstanding, the Corporation shall not, without first
obtaining the approval of the holders of a majority of the Series A Preferred
Stock outstanding, voting separately as a class:

               (a)  amend or alter the Certificate of Incorporation in a manner
that would adversely affect the rights of the Series A Preferred Stock,

               (b)  amend, alter or repeal any provision of the Certificate of
Incorporation that would increase in any respect the restrictions or limitations
on ownership applicable to the Series A Preferred Stock, or

               (c)  issue additional shares of Series A Preferred Stock or
Senior Securities.

          7.   Section Headings.  Section headings are for convenience of
               ----------------
reference only and shall not constitute a part of this Certificate of
Designations or be referred to in connection with the interpretation or
construction hereof.

                                       10
<PAGE>

          IN WITNESS WHEREOF, Bay View Capital Corporation has caused this
Certificate of Designations to be executed by its Chief Executive Officer as of
the ____ day of _________, 2001.

                                        BAY VIEW CAPITAL CORPORATION

                                        By:_____________________________________

                                        Printed Name:___________________________

                                        Title:__________________________________

                                       11<PAGE>

                                                                    Exhibit 4(s)

NO. __                   BAY VIEW CAPITAL CORPORATION
                              WARRANT CERTIFICATE

                     Warrant Certificate for _____ Warrants
                     to Purchase ___________ Warrant Shares

     This Warrant Certificate certifies that, for value received,
______________________ (the "Holder") is the owner of the number of Warrants
(the "Warrants") set forth above, each of which entitles the Holder to purchase
from Bay View Capital Corporation (the "Company") at any time from and after
Commencement (as defined in Section 2.1 hereof) and until the Expiration Date
(as defined in Section 2.1 hereof)._____ of a Warrant Share (as defined below),
at the purchase price per Warrant Share stated in Section 2.3 hereof (the
"Exercise Price"). The number of Warrant Shares purchasable upon exercise of the
Warrants and the Exercise Price shall be subject to adjustment from time to time
as herein provided.

     For purposes of this Warrant Certificate, "Warrant Shares" shall mean
shares of the Company's Common stock, par value $0.01 per share (the "Common
Stock"); provided, however, that if, in accordance with Section 6 hereof, the
         --------  -------
securities issuable upon exercise of the Warrants are issued by an entity other
than the Company or there is a change in the class of securities so issuable,
then the "Warrant Shares" shall mean the securities so issuable by such entity
or the securities of the class of securities so issuable.

     The Warrants are subject to the following terms, conditions and provisions:

     SECTION 1.  Registration; Transferability; Exchange of Warrant Certificate.
                 --------------------------------------------------------------

          1.1  Registration.  The Company shall number and register the Warrants
               ------------
in a register (the "Warrant Register") maintained at the principal office of the
Company (the "Office"). The Company shall be entitled to treat the Holder of the
Warrants as the owner thereof for all purposes and shall not be bound to
recognize any equitable or other claim to or interest in such Warrants on the
part of any other person.

          1.2  Transfer:  Restrictions on Transfer of Warrants. Warrants shall
               -----------------------------------------------
be transferable only on the Warrant Register upon delivery thereof by the Holder
or by his duly authorized attorney or representative or accompanied by proper
evidence of succession, assignment or authority to transfer.  A Form of
Assignment that may be used by the Holder for such purpose is attached hereto.
Upon any such registration of transfer, a new Warrant Certificate, in
substantially the form of this Warrant Certificate, evidencing the Warrants so
transferred shall be issued to the transferee of such Warrants and a new Warrant
Certificate, in substantially the form of this Warrant Certificate, evidencing
the remaining Warrants, if any, not so transferred, shall be issued to the
Holder.  In all cases of transfer by an attorney, the original power of
attorney, duly approved, or a copy thereof, duly certified, shall be deposited
and shall remain with the Company.  In case of transfers by executors,
administrators, guardians or other legal representatives, duly authenticated
evidence of their authority shall be produced, and may be required to be
deposited and to remain with the Company in its discretion.  No transfer of the
<PAGE>

Warrants or any interest therein other than in compliance with this Section 1.2
shall be made or recorded in the Warrant Register, and any such purported
transfer shall be void and of no effect.

     SECTION 2.  Term of Warrants:  Exercise of Warrants.
                 ---------------------------------------

          2.1  Term of Warrant.  Subject to the terms of this Warrant
               ---------------
Certificate, the Holder shall have the right, which may be exercised by the
registered Holder hereof from time to time on any Business Day before 5:00 P.M.
(New York City time) during the period from Commencement through and including
     , 2011 (the "Expiration Date") to purchase from the Company an aggregate of
___________ fully paid and nonassessable Warrant Shares or such other number of
Warrant Shares which the Holder may at the time be entitled to purchase in
accordance with this Warrant Certificate.  At 5:00 P.M. (New York City time) on
the Expiration Date, each Warrant not exercised prior thereto shall be and
become void and of no value.  "Commencement" shall occur upon the Company's
delivery of notice (the "Commencement Notice") to all of the holders of Warrants
as they appear in the then current Warrant Register, that the Company has a
sufficient number of authorized, unissued and unreserved shares of Common Stock
to permit exercise of all of the outstanding Warrants.  The Commencement Notice
shall be deemed to have been delivered (i) when received if given in person,
(ii) on the date of electronic confirmation of receipt if sent by telex,
facsimile, or other wire transmission, (iii) three days after being deposited in
the U.S. mail, certified or registered mail, postage prepaid, or (iv) one day
after being deposited with a reputable overnight courier.

          2.2  Exercise of Warrants.  Subject to the terms of this Warrant
               --------------------
Certificate, the Warrants evidenced by this Warrant Certificate may be exercised
in whole or in part, upon surrender to the Company, at its Office, of this
Warrant Certificate, with a Purchase Form substantially in the form attached
hereto, duly completed and signed, and upon payment to the Company of the
Exercise Price. Payment of the aggregate Exercise Price shall be in cash.
Payment of the aggregate Exercise Price in cash shall be by cashiers check or by
wire transfer in immediately available funds to an account designated in writing
by the Company to the Holder.

          Upon the surrender of this Warrant Certificate, with the Purchase Form
duly executed, and payment of the Exercise Price as aforesaid, the Company shall
(subject to compliance, if necessary, with applicable provisions of the Hart-
Scott-Rodino Antitrust Improvements Act of 1976, as amended), promptly and, in
any event within ten Business Days, issue and deliver to or upon the written
order of the Holder and in such name or names as the Holder may designate, a
certificate or certificates for such number of Warrant Shares so purchased. Such
certificate or certificates shall be dated and deemed to have been issued as of
the date of the surrender of this Warrant Certificate and payment of the
Exercise Price. The right of purchase represented by this Warrant Certificate
shall be exercisable, at the election of the Holder, in full at any time or in
part from time to time. In the event the Holder shall exercise fewer than all
the Warrants evidenced hereby, a new Warrant Certificate shall be issued
evidencing the remaining unexercised Warrants.

          2.3  Exercise Price and Aggregate Exercise Price.  The price per share
               -------------------------------------------
at which such Warrant Share shall be purchased upon exercise of Warrants (the
"Exercise Price") shall be $__.__, subject to adjustment pursuant to Section 6.
The "Aggregate Exercise Price" shall equal

                                       2
<PAGE>

the product of (i) the number of Warrant Shares purchasable upon exercise of
each Warrant multiplied by (ii) the Exercise Price.

     SECTION 3.  Payment of Taxes.  The Holder covenants and agrees that it will
                 ----------------
pay when due and payable all documentary, stamp and other similar taxes, if any,
which may be payable in respect of the issuance or delivery of the Warrants or
of the Warrant Shares purchasable and issuable upon the exercise of the
Warrants.

     SECTION 4.  Mutilated or Missing Warrants.  In the event this Warrant
                 -----------------------------
Certificate shall be mutilated, lost, stolen or destroyed, the Company shall
issue and deliver in exchange and substitution for and upon cancellation of the
mutilated Warrant Certificate, or in lieu of and in substitution for the Warrant
Certificate lost, stolen or destroyed, a new Warrant Certificate of like tenor
and representing an equivalent right or interest, but only upon, in the event of
a lost stolen or destroyed certificate, receipt of evidence satisfactory to the
Company of such loss, theft or destruction and, if requested by the Company,
upon indemnity that also is satisfactory to the Company.  In making application
for such a substitute Warrant Certificate, the Holder shall also comply with
such other reasonable requirements as the Company may prescribe.

     SECTION 5.  Reservation and Availability of Warrant Shares:  Purchase and
                 -------------------------------------------------------------
Cancellation of Warrants.
------------------------

          5.1  Reservation of Warrant Shares.
               -----------------------------

          (a)  The Company shall at all times after Commencement reserve and
keep available free from preemptive rights, out of the aggregate of its
authorized but unissued shares of Common Stock, for the purpose of enabling it
to satisfy any obligations to issue the Warrant Shares upon exercise of the
Warrants, the full number of Warrant Shares deliverable upon the exercise of all
the Warrants evidenced by this Warrant Certificate.

          (b)  The Company covenants that all Warrant Shares issuable upon
exercise of the Warrants will, upon issuance, be fully paid, nonassessable and
free from preemptive rights and free from all taxes, liens, charges and security
interests with respect to the issuance thereof.

          (c)  Before taking any action which would cause an adjustment pursuant
to Section 6, the Company will take any and all corporate action which may, in
the opinion of its counsel, be necessary in order that the Company may validly
and legally issue fully paid and nonassessable Warrant Shares at the Exercise
Price as so adjusted.

          5.2  Warrant Shares Record Date.  Each person in whose name any stock
               --------------------------
certificate for Warrant Shares is issued shall for all purposes be deemed to
have become the Holder of record of the Warrant Shares represented thereby, and
such stock certificate shall be dated the date upon which this Warrant
Certificate was duly surrendered and payment of the Exercise Price (and any
applicable transfer taxes) was made.

          5.3  Cancellation of Warrant.  Upon surrender of the Warrant
               -----------------------
Certificate for exchange, substitution, transfer or exercise, it shall be
cancelled by the Company and retired.

                                       3
<PAGE>

     SECTION 6.  Adjustment of Number of Warrant Shares and Exercise Price.  The
                 ---------------------------------------------------------
number of securities purchasable upon the exercise of each Warrant and the
Exercise Price shall be subject to adjustment from time to time upon the
happening of certain events as hereinafter described.

          6.1  Mandatory Adjustments.  The number of securities purchasable upon
               ---------------------
the exercise of the Warrants and the Exercise Price shall be subject to
adjustment as follows:

               (a)  Stock Splits and Combinations. If the Company should at any
time or from time to time fix a record date for the effectuation of a split,
subdivision, reverse split or combination of the outstanding shares of Common
Stock or issuance of capital stock of the Company by reclassification of the
shares of Common Stock of the Company, then, the number of securities
purchasable upon exercise of the Warrant in effect immediately prior to the
earlier of such record date or the date of such split, subdivision, reverse
split, combination or reclassification (the "Measuring Date"), shall be adjusted
                                             --------------
so that each Holder of Warrants shall be entitled to receive the number of
shares of Common Stock or other securities that the Holder would have owned or
been entitled to receive after the Measuring Date had those Warrants been
exercised immediately prior to the Measuring Date. The Exercise Price shall be
correspondingly adjusted so that the Aggregate Exercise Price in effect prior to
the foregoing adjustment shall equal the Aggregate Exercise Price immediately
after such adjustment.

               (b)  Stock Dividends in Common Stock. If the Company should at
any time or from time to time pay a dividend or make a distribution in shares of
Common Stock on the Common Stock other than dividends or distributions of shares
of Common Stock or other securities with respect to which adjustments are
provided in paragraph (a) above, and the total number of shares constituting the
dividend or distribution exceeds 5% of the total number of shares of Common
Stock outstanding at the close of business on the record date fixed for
determination of stockholders entitled to receive the dividend or distribution,
the number of shares purchasable upon the exercise of each Warrant shall be
adjusted by multiplying by a fraction, (1) the numerator of which will be sum of
the number of shares of Common Stock outstanding at the close of business on
that record date and the total number of shares issued in the dividend or
distribution and (2) the denominator of which will be the number of shares of
Common Stock outstanding at the close of business on that record date. The
Exercise Price shall be correspondingly adjusted so that the Aggregate Exercise
Price in effect prior to the foregoing adjustment shall equal the Aggregate
Exercise Price immediately after such adjustment. If the total number of shares
constituting that dividend or distribution does not exceed 5% of the total
number of shares of Common Stock outstanding at the close of business on the
record date fixed for that dividend or distribution, the shares of Common Stock
will be considered to be issued at the time of any such next succeeding dividend
or other distribution in which the number of shares of Common Stock issued,
together with the number of shares issued in all previous such dividends and
distributions since the most recent adjustment under this Section 5.2(b), will
exceed such 5% threshold.

               (c)  Issuance of Rights or Warrants. If the Company should at any
time or from time to time issue to all holders of Common Stock rights or
warrants expiring within 45 days entitling those holders to subscribe for or
purchase Common Stock at a price per share less than the Exercise Price ("Rights
or Warrants"), the Exercise Price in effect

                                       4
<PAGE>

immediately before the close of business on the record date fixed for
determination of stockholders entitled to receive those Rights or Warrants will
be reduced by multiplying the Exercise Price by a fraction (1) the numerator of
which is the sum of (A) the number of shares of Common Stock outstanding at the
close of business on that record date and (B) the number of shares of Common
Stock that the aggregate offering price of the total number of shares of Common
Stock so offered for subscription or purchase would purchase at the Exercise
Price and (2) the denominator of which is the sum of (A) the number of shares of
Common Stock outstanding at the close of business on that record date and (B)
the number of additional shares of Common Stock so offered for subscription or
purchase. For purposes of this paragraph (c), the issuance of rights or warrants
expiring within 45 days entitling the holders to subscribe for or purchase
securities convertible into shares of Common Stock will be deemed to be the
issuance of rights or warrants to purchase shares of Common Stock into which
those securities are convertible at an aggregate offering price equal to the sum
of the aggregate offering price of those securities and the minimum aggregate
amount, if any, payable upon conversion of those securities into shares of
Common Stock. This adjustment shall be made successively whenever any such event
occurs, provided, however, that no adjustment shall occur with respect to that
        --------  -------
certain rights offering by the Company pursuant to a prospectus supplement dated
______.

          (d)  Distribution of Indebtedness, Capital Stock or Assets.  If the
Company should at any time or from time to time distribute to all holders of
Common Stock, whether by dividend or in a merger, amalgamation or consolidation
or otherwise, evidences of indebtedness, shares of capital stock, cash or
assets, other than Common Stock, Rights or Warrants or a dividend payable
exclusively in cash and other than as a result of a Fundamental Change described
in paragraph (e) below, the Exercise Price in effect immediately before the
close of business on the record date fixed for determination of stockholders
entitled to receive that distribution shall be reduced by multiplying the
Exercise Price by a fraction (1) the numerator of which shall be the Exercise
Price less the fair market value (as determined by the board of directors of the
Company, whose determination in good faith shall be conclusive) of the portion
of those evidences of indebtedness, shares of capital stock, other securities,
cash and assets so distributed applicable to one share of Common Stock and (2)
the denominator of which is the Exercise Price.  This adjustment shall be made
successively whenever any such event occurs.

          (e)  Fundamental Changes. If a Fundamental Change occurs, the Holder
of each Warrant immediately before that Fundamental Change occurred, shall have
the right upon any subsequent exercise to receive, but only out of legally
available funds, to the extent required by applicable law, the kind and amount
of stock, other securities, cash and assets that that Holder would have received
if the Warrant had been exercised immediately prior to the Fundamental Change.
"Fundamental Change" means any transaction or event, including any merger,
consolidation, sale of assets, tender or exchange offer, reclassification,
compulsory share exchange or liquidation, in which all or substantially all
outstanding shares of Common Stock are converted into or exchanged for stock,
other securities, cash or assets.

     6.2  Notice of Adjustment. The Company hereby agrees that whenever any
          --------------------
adjustment of the number of Warrant Shares purchasable upon the exercise of the
Warrants or the Exercise Price of such Warrants is effected as herein provided,
the Company shall promptly notify the Holder, by first-class mail, postage
prepaid, of such adjustment and shall deliver to the

                                       5
<PAGE>

Holder a certificate of the Chief Financial Officer of the Company, setting
forth in reasonable detail (i) the number of Warrant Shares purchasable upon the
exercise of the Warrants and the Exercise Price of the Warrants after such
adjustment, (ii) a brief statement of the facts requiring such adjustment and
(iii) the computation by which such adjustment was made.

          6.3  Statement on the Warrant.  Irrespective of any adjustments in the
               ------------------------
number or kind of securities purchasable upon the exercise of the Warrant or the
Exercise Price, any Warrant Certificate theretofore or thereafter issued may
continue to express the same price and number and any kind of shares as are
stated in this Warrant Certificate.

     SECTION 7.  Fractional Interests.  The Holder shall not be required to
                 --------------------
accept fractional securities on the exercise of Warrants.  If any fraction of a
security would be issuable on the exercise of Warrants, the Company shall pay to
the Holder of such Warrants, in lieu of delivering such fraction, an amount in
cash equal to the fair market value of such fraction.

     SECTION 8.  No Other Rights as a Shareholder.   Nothing contained in this
                 --------------------------------
Warrant Certificate shall be construed as conferring upon the Holder the right
to vote or to consent or to receive notice as a shareholder in respect of any
meeting of shareholders of the Company for the election of the directors of the
Company or any other matter, or any rights whatsoever as a shareholder of the
Company.

     SECTION 9.  Notices.  Any notice or demand authorized by this Warrant
                 -------
Certificate to be given by the Holder to the Company, shall be in writing and
shall be delivered in person or by facsimile transmission, or mailed by
overnight courier, or otherwise delivered, to the Company, at 1840 Gateway
Drive, San Mateo, California 94404, facsimile no. (650) ___-____, attention of
Chief Financial Officer, with a copy to, Gibson, Dunn & Crutcher LLP, 333 South
Grand Avenue, Los Angeles, California 90071, facsimile no. (213) 229-6196,
attention of Dhiya El-Saden, Esq.  The Company may change the address to which
notices to it are to be delivered or mailed hereunder by notice to the Holder.

     Any notice authorized by this Warrant Certificate to be given by the
Company to the Holder shall be in writing and shall be mailed by overnight
courier or otherwise delivered, to the Holder at the following address:
___________________________________.  The Holder may change the address to which
notices to it are to be delivered or mailed hereunder by notice to the Company.

     Notices delivered personally shall be effective at the time delivered by
hand, notices sent by mail shall be effective when received, notices sent by
facsimile transmission shall be effective when confirmed and notices sent by
courier guaranteeing next day delivery shall be effective on the next business
day after timely delivery to the courier.

                                       6
<PAGE>

     SECTION 10.  Amendment and Waiver.
                  --------------------

          (a)  Any term, covenant, agreement or condition in this Warrant
Certificate may be amended, or compliance therewith may be waived (either
generally or in a particular instance and either retroactively or
prospectively), by a written instrument or written instruments executed by the
Company and the Holder.

          (b)  The Company may modify or amend, without the consent of the
Holder, the terms of this Warrant Certificate (i) for the purpose of curing any
ambiguity, or of curing, correcting or supplementing any defective or
inconsistent provision or (ii) in any other manner that the Company deems
necessary or desirable and that will not materially and adversely affect the
interests of the Holder.

          (c)  The Company may also modify or amend this Warrant Certificate and
common stock warrant certificates held by others with the consent of the holders
of not less than a majority of the outstanding unexercised common stock warrants
to be affected; provided, however, that no such modification or amendment that
                --------  -------
accelerates the Expiration Date, increases the Exercise Price, or reduces the
number of outstanding Warrants may be made absent the consent of the Holder if
this Warrant Certificate otherwise requires the consent of the Holder for such
modification or amendment.

   SECTION 11. Successors.  All the covenants and provisions of this Warrant
               ----------
Certificate by or for the benefit of the Company shall bind and inure to the
benefit of its respective successors and assigns hereunder.

   SECTION 12. Governing Law.  This Warrant Certificate shall be construed in
               -------------
accordance with and governed by the internal laws of the State of Delaware
applicable to contracts executed and to be performed wholly within such state,
without regard to the principles of conflicts or choice of law.

   SECTION 13. Benefits of this Warrant Certificate.  Nothing in this Warrant
               ------------------------------------
Certificate shall be construed to give to any person or entity other than the
Company and the Holder any legal or equitable right, remedy or claim under this
Warrant Certificate and this Warrant Certificate shall be for the sole and
exclusive benefit of this Company and the Holder.

   SECTION 14. Survival of Rights and Duties.  This Warrant Certificate shall
               -----------------------------
terminate and be of no further force and effect on the earlier of 5:00 P.M.
(New York City time) on the Expiration Date or the date on which all of the
Warrants have been exercised.

   SECTION 15. Captions.  The captions of the Sections and paragraphs of this
               --------
Warrant Certificate have been inserted for convenience only and shall have no
substantive effect.

                                       7
<PAGE>

     IN WITNESS WHEREOF, the Company has caused this Warrant Certificate to be
duly authorized this ___ day of _________, 2001.

                              BAY VIEW CAPITAL CORPORATION

                              By:  _______________________________
                                   Name:
                                   Title:

                                       8
<PAGE>

                         FORM OF ELECTION TO PURCHASE

     (To Be Executed by the Holder if the Holder Desires to Exercise Warrants
Evidenced by the Foregoing Warrant Certificate)

To Bay View Capital Corporation:

     The undersigned hereby irrevocably elects to exercise_______ Warrants
evidenced by the foregoing Warrant Certificate for, and to purchase thereunder,
_________ full shares of Common Stock issuable upon exercise of said Warrants
and delivery of $__________ in cash and any applicable taxes payable by the
undersigned pursuant to such Warrant Certificate.

     The undersigned requests that certificates for such shares be issued in the
name of _______________________________.

                                   PLEASE INSERT SOCIAL SECURITY OR
                                   TAX IDENTIFICATION NUMBER(S)

(Please print name and address)    _________________________________
                                   __________________________________
                                   __________________________________

     If said number of Warrants shall not be all the Warrants evidenced by the
foregoing Warrant Certificate, the undersigned requests that a new Warrant
Certificate evidencing the Warrants not so exercised be issued in the name or
and delivered to:

______________________________________________________________________________
______________________________________________________________________________
                        (Please print name and address)

                                   By:  _____________________________
                                        Name:
                                        Title:

Dated: ________________

                                       9
<PAGE>

                               FORM OF ASSIGNMENT

     FOR VALUE RECEIVED, _______________ hereby sells, assigns and transfers to
each assignee set forth below all of the rights of the undersigned in and to the
number of Warrants (as defined in and evidenced by the foregoing Warrant
Certificate) set opposite the name of such assignee below and in and to the
foregoing Warrant Certificate with respect to said Warrants and the shares of
Common Stock issuable upon exercise of said Warrants:

Name of Assignee              Address                  Number of Warrants
----------------              -------                  ------------------

     If the total of said Warrants shall not be all the Warrants evidenced by
the foregoing Warrant Certificate, the undersigned requests that a new Warrant
Certificate evidencing the Warrants not so assigned be issued in the name of and
delivered to the undersigned.

                                     By:  _______________________________
                                          Name:
                                          Title:

Dated:  ______________

                                       10

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