<PAGE>

                                                                    EXHIBIT 10.2

                             AMENDED AND RESTATED
                          WARRANT PURCHASE AGREEMENT

     This Amended and Restated Warrant Purchase Agreement, dated as of December
13, 1999 (this "Agreement"), is by and between The Wiser Oil Company, a Delaware
corporation (the "Company"), and Wiser Investment Company, LLC, a Delaware
limited liability company ("WIC").

                                   RECITALS:

     WHEREAS, the Company and WIC entered into a Warrant Purchase Agreement as
of December 13, 1999 (the "Original Warrant Purchase Agreement"); and

     WHEREAS, the Company and WIC wish to enter into this Agreement and thereby
amend and restate the Original Warrant Purchase Agreement in its entirety; and

     WHEREAS, simultaneously with the execution of this Agreement, the Company
and WIC are entering into an Amended and Restated Stock Purchase Agreement,
dated as of the date hereof (the "Stock Purchase Agreement"); and

     WHEREAS, in connection with the Stock Purchase Agreement and the
transactions contemplated thereby, the Company has agreed to sell and WIC has
agreed to purchase the Closing Warrants (as hereinafter defined), and WIC will
have the option to purchase the Option Closing Warrants (as hereinafter
defined), for the consideration and subject to the terms and conditions set
forth herein.

                              A G R E E M E N T:

     NOW, THEREFORE, in consideration of the premises and covenants contained
herein, the Company and WIC agree as follows:

     1. Purchase and Sale of Warrants at Closing.
        ----------------------------------------

        1.1  Purchase and Sale.  Upon the terms and subject to the conditions
             -----------------
contained in this Section 1, at the Closing and pursuant to the Stock Purchase
Agreement, the Company shall issue, sell and deliver to WIC warrants to purchase
a total number of shares of Common Stock equal to (x) 741,716 multiplied by (y)
a fraction, the numerator of which is the total number of Preferred Shares
purchased by Purchaser at the Closing and the denominator of which is 1,000,000
(rounded up to the nearest whole number of shares) (the "Closing Warrants"),
pursuant to a Warrant Agreement (herein so called) by and between the Company
and WIC in the form attached as Exhibit A hereto.
                                ---------

        1.2  Purchase Price.  The aggregate consideration to be delivered by WIC
             --------------
to the Company as payment for the Closing Warrants shall be an amount equal to
$0.02 multiplied by the total number of shares purchasable under the Closing
Warrants.

<PAGE>


        1.3  Actions by the Company.  At the Closing, the Company agrees to
             ----------------------
execute a Warrant Agreement which shall be dated the Closing Date and shall
evidence the Closing Warrants.

        1.4  Actions by WIC.  At the Closing, WIC  shall execute the Warrant
             --------------
Agreement evidencing the Closing Warrants and shall pay the purchase price for
the Closing Warrants to the Company by wire transfer of immediately available
funds to an account designated by the Company.

        1.5  Conditions to Each Party's Obligations.  The respective obligations
             --------------------------------------
of the Company and WIC under this Section 1 shall be subject to the satisfaction
on or prior to the Closing Date of the conditions set forth in Section 5.1 of
the Stock Purchase Agreement.

        1.6  Conditions to Obligations of WIC.  The obligations of WIC to
             --------------------------------
purchase the Closing Warrants at the Closing shall be subject to the
satisfaction on or prior to the Closing Date of the conditions set forth in
Section 5.2 of the Stock Purchase Agreement.

        1.7  Conditions to Obligations of the Company.  The obligations of the
             ----------------------------------------
Company to issue, sell and deliver the Closing Warrants at the Closing shall be
subject to the satisfaction on or prior to the Closing Date of the conditions
set forth in Section 5.3 of the Stock Purchase Agreement.

     2. Purchase and Sale of Warrants at Option Closings.
        ------------------------------------------------

        2.1  Purchase and Sale.  Upon the terms and subject to the conditions
             -----------------
contained in this Section 2, at each Option Closing pursuant to the Stock
Purchase Agreement, the Company shall issue, sell and deliver to WIC warrants to
purchase a total number of shares of Common Stock equal to (x) 741,716
multiplied by (y) a fraction, the numerator of which is the total number of
Preferred Shares purchased by Purchaser at such Option Closing and the
denominator of which is 1,000,000 (rounded up to the nearest whole number of
shares) (the "Option Closing Warrants"), pursuant to a Warrant Agreement by and
between the Company and WIC in the form attached as Exhibit A hereto.
                                                    ---------

        2.2  Purchase Price.  The aggregate consideration to be delivered by WIC
             --------------
to the Company as payment for any Option Closing Warrants shall be an amount
equal to $0.02 multiplied by the total number of shares purchasable under such
Option Closing Warrants.

        2.3  Actions by the Company and WIC.  At each Option Closing, the
             ------------------------------
Company and WIC agree to execute a Warrant Agreement which shall be dated the
Option Closing Date and shall evidence the Option Closing Warrants to be
purchased at such Option Closing, and WIC shall pay the purchase price for such
Option Closing Warrants to the Company by wire transfer of immediately available
funds to an account designated by the Company.

     3. Miscellaneous.
        -------------

        3.1  Definitions.  Capitalized terms used but not defined herein shall
             -----------
have the meanings assigned to them in the Stock Purchase Agreement.

                                       2
<PAGE>

        3.2  Notices.  All notices or other communications given or made
             -------
hereunder shall be governed by Section 9.7 of the Stock Purchase Agreement.

        3.3  Entire Agreement.  This Agreement, including the Exhibit hereto,
             ----------------
constitutes the entire agreement among the parties hereto with respect to the
subject matter hereof and supersedes all prior and contemporaneous agreements
and understandings, oral or written, including the Original Warrant Purchase
Agreement, between the parties hereto with respect to such transactions.

        3.4  Governing Law.  THIS AGREEMENT SHALL BE GOVERNED BY AND CONSTRUED
             -------------
IN ACCORDANCE WITH THE LAWS OF THE STATE OF DELAWARE, WITHOUT GIVING EFFECT TO
ANY CHOICE OF LAW OR CONFLICT OF LAW PROVISION OR RULE (WHETHER OF THE STATE OF
DELAWARE OR ANY OTHER JURISDICTION) THAT WOULD CAUSE THE APPLICATION OF THE LAW
OF ANY JURISDICTION OTHER THAN THE STATE OF DELAWARE.

        3.5  Headings.  The section, paragraph and other headings contained in
             --------
this Agreement are for reference purposes only and shall not be deemed to be a
part of this Agreement or to affect the meaning or interpretation of this
Agreement.

        3.6  Assignment.  Neither this Agreement nor any interest herein or
             ----------
right or obligation hereunder may be assigned by the Company or WIC in any
manner, by operation of Law or otherwise, without the prior written consent of
the other party hereto.  Notwithstanding the foregoing sentence, prior to the
date of the Stockholders' Meeting, WIC may assign all of its rights, interests
and obligations hereunder to a corporation, partnership or limited liability
company or other entity, provided that (i) the equity ownership of such entity
is limited to WIC, the members of WIC as of the date hereof, or any other
entity whose equity owners are limited to the foregoing and (ii) any such
assignee expressly assumes all of WIC's rights, interests and obligations
hereunder, makes the same representations, warranties, covenants and agreements
made by WIC under Sections 3.2 and 4.11 and Article VIII of the Stock Purchase
Agreement and agrees to become a party to the Stockholder Agreement at Closing,
all pursuant to an instrument of assignment and assumption in form and substance
reasonably satisfactory to the Company, and the Company agrees that following
any such assignment and assumption the Company shall look only to such assignee
in satisfaction of the Company's rights against WIC or the enforcement of the
obligations of WIC hereunder.

        3.7  Successors Bound.  This Agreement shall be binding upon and inure
             ----------------
to the benefit of the parties hereto and their respective successors and
assigns.

        3.8  Amendment.  This Agreement may be amended only by an instrument in
             ---------
writing executed by all the parties hereto.

        3.9  Counterparts.  This Agreement may be executed in counterparts, each
             ------------
of which shall be deemed an original, but all of which shall constitute the same
instrument.

        3.10 Termination.  This Agreement shall automatically terminate upon the
             -----------
termination of the Stock Purchase Agreement pursuant to Article VII thereof.

                                       3
<PAGE>

     IN WITNESS WHEREOF, each of the parties hereto has caused this Agreement to
be signed as of the date first above written.

                                    COMPANY

                                    The Wiser Oil Company


                                    By:_________________________________
                                       Name:
                                       Title:


                                    WIC

                                    Wiser Investment Company, LLC


                                    By:_________________________________
                                       Name:
                                       Title:

                                       4
<PAGE>

                                                                       EXHIBIT A

                               WARRANT AGREEMENT

     THIS WARRANT AGREEMENT ("Warrant Agreement"), dated as of               ,
2000, between THE WISER OIL COMPANY, a Delaware corporation (the "Company"), and
WISER INVESTMENT COMPANY, LLC, a Delaware limited liability company ("WIC").

     WHEREAS, the Company and WIC have previously entered into that certain
Amended and Restated Warrant Purchase Agreement, dated as of December 13, 1999
(as the same may be amended, supplemented or otherwise modified from time to
time, the "Warrant Purchase Agreement") pursuant to which the Company has agreed
to sell, and WIC has agreed to purchase, the Warrants (as hereinafter defined),
subject to the terms and conditions set forth therein; and

     WHEREAS, the Company and WIC are entering into or have entered into a
Stockholder Agreement, pursuant to which WIC has agreed, among other things, to
certain transfer restrictions with respect to the Warrants and the Warrant
Shares (as hereinafter defined).

     NOW, THEREFORE, in consideration of the premises and the mutual agreements
herein set forth, the parties hereto agree as follows:

     Section 1.     Warrants.  The Company hereby issues to WIC warrants (the
     ---------      --------
"Initial Warrants") to purchase __________ fully paid and nonassessable shares,
subject to adjustment as provided in Section 3 hereof (the "Initial Warrant
Shares"), of the Company's Common Stock, par value $0.01 per share (the "Common
Stock"), at the Purchase Price (as hereinafter defined).

     Section 2.     Duration and Exercise of Warrants.
     ---------      ---------------------------------

     (a)  The initial purchase price for the Initial Warrant Shares, commencing
as of the date hereof, shall be $4.25 per share of Common Stock, which purchase
price shall hereafter be subject to adjustment as provided in Section 3 hereof.
Except as the context otherwise requires, the term "Purchase Price" as used in
this Warrant Agreement shall mean the Purchase Price per share of Common Stock
then in effect as of the relevant date and shall reflect all adjustments made in
accordance with the provisions of Section 3 hereof.  "Aggregate Purchase Price"
means the aggregate purchase price payable for the shares of Common Stock
purchasable under this Warrant Agreement.

     (b)  WIC may exercise the Warrants in whole at any time or in part from
time to time (i) on or after the second anniversary of the Closing Date (as
defined in the Amended and Restated Stock Purchase Agreement dated as of
December 13, 1999, between the Company and WIC) and (ii) at or prior to the
close of business on the seventh anniversary of the Closing Date.

     (c)  WIC may exercise all or any portion of the Warrants by either of the
following methods:
<PAGE>

          (i)  If electing to pay the Purchase Price in cash, WIC shall deliver
     the Form of Exercise attached hereto as Exhibit A to the Company at the
     address set forth in Section 12 hereof, together with payment of the
     Aggregate Purchase Price, or the proportionate part thereof if only a
     portion of the Warrants are exercised.  Payment may be made in the form of
     cash, or by certified check, bank draft or money order payable in lawful
     money of the United States of America to the order of the Company; or

          (ii) If electing to pay the Purchase Price by surrendering a portion
     of the Warrants (a "Cashless Exercise"), WIC shall deliver the Form of
     Exercise attached hereto as Exhibit A to the Company at the address set
     forth in Section 12 hereof, indicating its election on such form.  In the
     event of a Cashless Exercise, WIC shall exchange the Warrants being
     exercised for that number of shares of Common Stock equal to (x) the number
     of shares of Common Stock subject to such Warrants, multiplied by (y) a
     fraction, the numerator of which shall be the then current market price per
     share of Common Stock minus the Purchase Price, and the denominator of
     which shall be the then current market price per share of Common Stock.
     Notwithstanding the foregoing, (A) a Cashless Exercise may only be effected
     as of a date on which the then current market price per share of Common
     Stock exceeds the Purchase Price, and (B) the Company shall have no
     obligation to issue shares of Common Stock for a consideration less than
     the aggregate par value of the shares of Common Stock then issued. For the
     purpose of any computation under this subsection only, the current market
     price per share of Common Stock at any date shall be deemed to be the
     closing sale price (or if no sale price is available, the average of the
     last reported bid and asked prices) in the principal market in which the
     Common Stock is traded on the trading day immediately preceding the day
     upon which such Warrants are exercised.

     (d)  Within five business days after receipt of such notice and payment,
the Company shall issue to WIC the number of whole shares of Common Stock to be
purchased, together with cash made available by the Company pursuant to Section
4 hereof in respect of any fraction of a share of Common Stock otherwise
issuable upon such exercise.

     Section 3.     Adjustments to Number of Shares and Purchase Price.  The
     ---------      --------------------------------------------------
number of shares of Common Stock issuable upon exercise of Warrants under this
Warrant Agreement and the Purchase Price shall be subject to adjustment from
time to time after the date hereof and prior to the earlier of the exercise in
full of all Warrants then outstanding and the close of business on the seventh
anniversary of the Closing Date, as follows:

     (a)  If the Company shall issue any shares of Common Stock (including
shares held in treasury) after the date hereof (other than shares of Common
Stock issued (i) pursuant to this Warrant Agreement or any other Warrant
Agreement entered into by the parties pursuant to the Warrant Purchase
Agreement, (ii) as described in Subsections (b)(i) and (ii) below or pursuant to
any interests, evidences of indebtedness, rights or warrants distributed as
described in Subsection (d) below, (iii) pursuant to the terms of the Company's
Series C Cumulative Convertible Preferred Stock issued by the Company pursuant
to that certain Amended and Restated Stock Purchase Agreement, dated December
13, 1999, between the Company and WIC, or (iv) pursuant to awards granted
after

                                      -2-
<PAGE>


the Closing Date under the Company's stock option plans or other director,
officer or employee equity compensation plans, contracts or arrangements)
("Additional Stock"), then the Company shall issue to WIC additional warrants
("Additional Warrants" and, together with the Initial Warrants, the "Warrants")
to purchase an additional number of shares of Common Stock under this Warrant
Agreement ("Additional Warrant Shares" and, together with the Initial Warrant
Shares, the "Warrant Shares") determined by (x) multiplying the number of shares
purchasable under this Warrant Agreement immediately prior to such issuance of
Additional Stock times a fraction, of which the numerator shall be the number of
shares of Common Stock outstanding immediately after the issuance of such
Additional Stock and of which the denominator shall be the number of shares of
Common Stock outstanding immediately prior to the issuance of such Additional
Stock and (y) subtracting therefrom the number of shares purchasable under this
Warrant Agreement immediately prior to such issuance of Additional Stock. With
respect to each issuance of Additional Stock, the Purchase Price of the
Additional Warrant Shares purchasable pursuant to this Section 3(a) as a result
of such issuance shall be determined based upon the date on which such
Additional Stock is issued, as set forth in Exhibit B. The Purchase Price and
                                            ---------
number of Additional Warrant Shares purchasable pursuant to this subsection (a)
as determined for each Additional Stock issuance shall be fixed at the time of
such issuance of Additional Stock, subject to further adjustment pursuant to the
provisions of this Section 3.

     (b)  In case the Company shall (i) pay a dividend on Common Stock in Common
Stock, (ii) subdivide its outstanding shares of Common Stock into a greater
number of such shares, or (iii) combine its outstanding shares of Common Stock
into a smaller number of such shares, the total number of shares of Common Stock
issuable upon the exercise of Warrants under this Warrant Agreement outstanding
immediately prior thereto shall be adjusted so that WIC thereafter shall be
entitled to receive upon exercise of the unexercised Warrants, at the same
Aggregate Purchase Price (as in effect at the time of such event and from time
to thereafter), the number of shares of Common Stock that WIC would have owned
or have been entitled to receive immediately following any of the events
described above had such Warrants been exercised in full immediately prior to
any such event.  An adjustment made pursuant to this subsection shall, in the
case of a dividend on Common Stock in Common Stock, become effective as of the
record date therefor and, in the case of a subdivision or combination, be made
as of the effective date thereof.

     (c)  In the event of any adjustment of the total number of shares of Common
Stock issuable upon the exercise of the unexercised Warrants pursuant to Section
3(b) above, the Purchase Price applicable to the Initial Warrant Shares and any
Additional Warrant Shares (in effect immediately prior to such adjustment) shall
be proportionately adjusted.

     (d)  In case the Company shall distribute to all holders of its Common
Stock (the "Company Shareholders") interests in the Company (other than Common
Stock), evidences of its indebtedness or assets (excluding cash dividends or
distributions), or rights or warrants to subscribe for or purchase such
interests, evidences of indebtedness or assets, then in each such case the
Purchase Price applicable to each Initial Warrant Share and each Additional
Warrant Share in effect thereafter shall be determined by multiplying the
Purchase Price applicable to each Initial Warrant Share and each Additional
Warrant Share (as in effect immediately prior thereto) by a fraction, of

                                      -3-
<PAGE>

which the numerator shall be the total number of outstanding shares of Common
Stock multiplied by the current market price per share of Common Stock (as
defined in Section 3(f) below) on the record date mentioned below, less the then
fair market value, as reasonably determined by the Company, of the interests,
evidences of indebtedness, assets or rights or warrants so distributed to all
such holders, and of which the denominator shall be the total number of
outstanding shares of Common Stock, multiplied by such current market price per
share of Common Stock. Such adjustments shall be made whenever any such
distribution is made, and shall become effective as of the record date for the
determination of the Company Shareholders entitled to receive such distribution.

     (e)  In the event of any capital reorganization of the Company or any
reclassification of the Common Stock (except as provided in Section 3(b) or (d)
above or Section 3(h) below), WIC, upon exercise of its Warrants, shall be
entitled to receive, in lieu of the shares of Common Stock to which WIC would
have become entitled upon exercise immediately prior to the reorganization or
reclassification, the shares of Common Stock, or other interests in the Company
or property of the Company that it would have been entitled to receive at the
same Aggregate Purchase Price upon such reorganization or reclassification if
its Warrants had been exercised immediately prior thereto; and in any such case,
appropriate provision (as reasonably determined by the Board of Directors of the
Company) shall be made for the application of this Section 3 with respect to the
rights and interests thereafter of the unexercised Warrants (including but not
limited to the allocation of the adjusted Purchase Price between or among shares
of Common Stock and any other interests in the Company), to the end that this
Section 3 (including the adjustments of the number of shares of Common Stock or
other interests in the Company purchasable and the Purchase Price thereof) shall
thereafter be reflected, as nearly as reasonably practicable, in all subsequent
exercises of the Warrants for any shares of Common Stock or other interests in
the Company, or other property, thereafter deliverable upon the exercise of the
Warrants.

     (f)  For the purpose of any computation under Section 3(d) above, the
current market price per share of Common Stock at any date shall be deemed to be
the average of the daily closing sale prices (or, if no sale price is reported
on a particular day, the average of the last reported bid and asked prices for
such day) for the 20 consecutive trading days before the day in question in the
principal market in which the Common Stock is traded.

     (g)  No adjustments shall be made for any cash distributions, whether paid
or declared. No adjustment under this Section 3 to the Purchase Price or the
number of Warrant Shares purchasable hereunder shall be made unless such
adjustment would require an increase or decrease of at least one percent in the
Aggregate Purchase Price or number of Warrant Shares; provided, however, that
any adjustments which by reason of this subsection are not required to be made
shall be carried forward and taken into account in any subsequent adjustment.
All calculations under this Section 3 shall be made to the nearest cent or to
the nearest one-hundredth of one share of Common Stock as the case may be.

     (h)  (i)  In case of any consolidation of the Company with, or merger of
     the Company with or into, another corporation or any other entity (other
     than a consolidation or merger that

                                      -4-
<PAGE>

     does not result in any reclassification or change of the outstanding Common
     Stock), or in case of any sale or conveyance to another entity of the
     property of the Company as an entirety or substantially as an entirety (a
     "Corporate Change"), then as a condition to such Corporate Change, the
     corporation or any other entity formed by such consolidation or merger or
     the entity that shall have acquired such assets, as the case may be, shall
     execute and deliver to WIC a supplemental warrant agreement providing that
     WIC shall have the right thereafter to receive, upon exercise of the then
     unexercised Warrants, the kind and amount of corporate interests and other
     securities and property receivable upon such Corporate Change by a holder
     of the number of shares of Common Stock for which such Warrants might have
     been exercised immediately prior to such Corporate Change. Such
     supplemental warrant agreement shall provide for adjustments that shall be
     as nearly equivalent as may be practicable to the adjustments provided in
     this Section 3. The above provision of this subsection shall similarly
     apply to any subsequent Corporate Change.

          (ii) Notwithstanding the provisions of Section 2(b)(i) of this Warrant
     Agreement, in the event that the Company notifies WIC of a Corporate Change
     pursuant to Section 5(b) of this Warrant Agreement, WIC shall have the
     right, for a period of 30 days immediately prior to the consummation of
     such Corporate Change, to exercise the Warrants in whole or in part,
     provided that such exercise shall be contingent upon the consummation of
     such Corporate Change if such consummation occurs prior to the second
     anniversary of the Closing Date.

     Section 4.     Fractional Interests.  The Company shall not be required to
     ---------      --------------------
issue any fractions of shares of Common Stock upon the exercise of the Warrants.
If any fraction (calculated to the nearest one-hundredth) of a share of Common
Stock would, except for the provisions of this Section 4, be issuable upon the
exercise of any Warrant, the Company shall purchase such fraction for an amount
in cash equal to the current value of such fraction computed on the basis of the
closing sale price (or if no sale price is available, the average of the last
reported bid and asked prices) on the trading day immediately preceding the day
upon which such Warrant was exercised in accordance with Section 2 hereof.

     Section 5.     Certain Notices.
     ---------      ---------------

     (a)  Whenever the number of Warrant Shares into which a Warrant is
exercisable is to be adjusted, or the Purchase Price is to be adjusted, in
either case as herein provided, the Company shall compute the adjustment in
accordance with Section 3, and shall, promptly after such adjustment becomes
effective, cause a notice of such adjustment or adjustments to be given to WIC
in accordance with Section 12 and shall deliver to WIC a certificate of the
Chief Financial Officer of the Company setting forth the number of Warrant
Shares into which each Warrant is exercisable after such adjustment, or the
adjusted Purchase Price, as the case may be, and setting forth in brief a
statement of the facts requiring such adjustment and the computation by which
such adjustment was made.

                                      -5-
<PAGE>


     (b)  If prior to the second anniversary of the Closing Date, (i) the
Company executes a definitive agreement with respect to a Corporate Change or
(ii) the occurrence of a Corporate Change otherwise becomes probable, the
Company shall promptly notify WIC of such Corporate Change in accordance with
Section 12, which notice shall describe in reasonable detail the nature of the
Corporate Change and the last day upon which WIC may exercise Warrants pursuant
to Section 3(h)(ii).

     Section 6.     Reservation and Authorization of Warrant Shares.
     ---------      -----------------------------------------------

     (a)  The Company shall at all times reserve and keep available, free from
preemptive rights, solely for issue upon the exercise of Warrants as herein
provided, such number of its authorized but unissued Warrant Shares deliverable
upon the exercise of Warrants as will be sufficient to permit the exercise in
full of all outstanding Warrants.

     (b)  The Company will use its best efforts so that all Initial Warrant
Shares are and all Additional Warrant Shares will be, at all times that Warrants
are exercisable, duly approved for listing subject to official notice of
issuance on each securities exchange, if any, or the Nasdaq National Market, if
applicable, on which the shares of Common Stock are then listed or traded.

     (c)  The Company covenants that all Warrant Shares that may be issued upon
due exercise of Warrants shall upon issuance be duly and validly authorized and
issued, fully paid and nonassessable and free of preemptive or similar rights.

     Section 7.     Payment of Taxes.  The Company covenants and agrees that it
     ---------      ----------------
will pay all stamp, transfer and similar taxes in connection with the issuance,
sale and delivery of the Warrants hereunder, as well as all such taxes
attributable to the initial issuance of Warrant Shares upon the exercise of the
Warrants and payment of the appropriate Purchase Price.  The Company will not,
however, be required to pay any such taxes imposed in connection with any
transfer of any Warrants or Warrant Shares or any federal or state income taxes
payable in respect of WIC's purchase, ownership, sale, transfer, exercise or
other disposition of Warrants or Warrant Shares.

     Section 8.     No Rights as a Company Shareholder.  This Warrant Agreement
     ---------      ----------------------------------
and the Warrants shall not be deemed to provide WIC with any rights as a
shareholder of the Company or to confer to WIC any right to vote upon any matter
submitted to the Company Shareholders, or to give or withhold consent to any
corporate action (whether upon any recapitalization, issuance of Common Stock,
reclassification of Common Stock, consolidation, merger, conveyance or
otherwise), or to receive notice of meetings or other actions affecting the
Company Shareholders or to receive distributions or subscription rights, or
allocations of any corporate items of income, gain, loss, deduction or credit,
or notice of Internal Revenue Service proceedings or adjustments, or otherwise.

     Section 9.     Regulatory Approvals and Listings.
     ---------      ---------------------------------

                                      -6-
<PAGE>

     Notwithstanding anything contained in this Warrant Agreement to the
contrary, the Company shall have no obligation to issue or deliver certificates
of Common Stock upon the exercise of any Warrant prior to (i) the obtaining of
any approval of any governmental agency that the Company shall, in its
reasonable discretion, determine to be necessary or advisable, (ii) the
admission of such shares to listing on any securities exchange on which the
Common Stock is then listed and (iii) the completion of any registration or
other qualification of such shares under any state or federal law or ruling of
any governmental body that the Company shall, in its reasonable discretion,
determine to be necessary or advisable.  The Company agrees to take such action
as may be required to satisfy such conditions as to permit the exercise of the
Warrants.

     Section 10.    Assignment and Transfer.  The rights and interest of WIC
     ----------     -----------------------
under this Warrant Agreement, the Warrants granted hereunder and the Warrant
Shares issuable upon exercise of the Warrants, may not be assigned, encumbered
or transferred, except in accordance with the Stockholder Agreement.

     Section 11.    Amendments and Waivers.  This Warrant Agreement may be
     ----------     ----------------------
amended, supplemented, waived, discharged or terminated by a written instrument
signed by WIC and the Company.

     Section 12.    Notices.  All notices, requests, communications or demands
     ----------     -------
pursuant to this Warrant Agreement to be given to or made on the Company, or to
be given to or made on WIC, shall be in writing, and may be given or made if
sent by registered or certified United States mail, postage prepaid, at the
addresses specified below.  Notice deposited in the mail as herein provided
shall be effective from and after the expiration of three days after it is so
deposited.  The mailing addresses of the parties are as follows:

     Company:       The Wiser Oil Company
                    8115 Preston Road, Suite 400
                    Dallas, Texas 75225
                    Attention: President


     WIC:           Wiser Investment Company, LLC
                    c/o Douglas P. Heller
                    1629 Locust Street
                    Philadelphia, Pennsylvania  19103

     The address of either party may be changed by notice given to the other
party in the manner provided in this Section 12.

     Section 13.    Successors.  All of the covenants and provisions of this
     ----------     ----------
Warrant Agreement by or for the benefit of the Company or WIC shall bind and
inure to the benefit of their respective successors and assigns hereunder.

                                      -7-
<PAGE>

     Section 14.    Choice of Law.  THIS WARRANT AGREEMENT SHALL BE GOVERNED BY
     ----------     -------------
AND CONSTRUED IN ACCORDANCE WITH THE LAWS OF THE STATE OF DELAWARE, WITHOUT
GIVING EFFECT TO ANY CHOICE OF LAW OR CONFLICT OF LAW PROVISION OR RULE (WHETHER
OF THE STATE OF DELAWARE OR ANY OTHER JURISDICTION) THAT WOULD CAUSE THE
APPLICATION OF THE LAW OF ANY JURISDICTION OTHER THAN THE STATE OF DELAWARE.

     Section 15.    Counterparts.  This Warrant Agreement may be executed in any
     ----------     ------------
number of counterparts, each of which shall be an original; but such
counterparts shall together constitute one and the same instrument.

                                      -8-
<PAGE>

     IN WITNESS WHEREOF, the Company has caused this Warrant Agreement to be
duly executed as of the day and year first above written, by its proper
corporate officers, thereunto duly authorized.


                                      THE WISER OIL COMPANY



                                      By:___________________________________
                                      Name:_________________________________
                                      Title:________________________________



Agreed to and Accepted this
____ day of _______________, 2000


WISER INVESTMENT COMPANY, LLC


By:___________________________________
Name:_________________________________
Title:________________________________

                                      -9-
<PAGE>

                                                                       EXHIBIT A


                               Form of Exercise
                               ----------------

     In accordance with and subject to the terms and conditions hereof and of
the Warrant Agreement dated as of _____________, 2000 (the "Warrant Agreement"),
between The Wiser Oil Company (the "Company") and Wiser Investment Company, LLC
("WIC"), the undersigned hereby irrevocably elects to exercise
____________________ Warrants (as defined in the Warrant Agreement) and
represents that WIC has tendered the Aggregate Purchase Price (as defined in the
Warrant Agreement), or the proportionate part thereof, for the Warrants being
exercised hereby in the aggregate amount of $_________ in the indicated
combination of:

          (i)   cash ($____________);

          (ii)  certified bank check in funds payable to the order of the
     Company ($______);

          (iii) official bank check in funds payable to the order of the
     Company ($______);

          (iv)  money order in funds payable to the order of the Company
     ($_____); or

          (v)   "cashless" exercise with respect to ________ Warrants pursuant
     to Section 2(c)(ii) of the Warrant Agreement.

     The undersigned requests that the shares of Common Stock issuable upon
exercise be in such denominations and registered in such names and delivered,
together with any other property receivable upon exercise, in such manner as is
specified in the instructions set forth below.

________________________________________________________________________________

________________________________________________________________________________

________________________________________________________________________________


     The Company hereby acknowledges that upon exercise of these Warrants, the
following Warrants have not been exercised or surrendered and are still
outstanding:

_____ Initial Warrant Shares with a Purchase Price per Warrant Share of $____

_____ Additional Warrant Shares with a Purchase Price per Warrant Share of $____

_____ Additional Warrant Shares with a Purchase Price per Warrant Share of $____

                                  Exhibit A-1
<PAGE>

     IN WITNESS WHEREOF, WIC has caused this Form of Exercise to be duly
executed on this ___ day of ________, 20___.



                                             WISER INVESTMENT COMPANY, LLC


                                             By:________________________________
                                             Name:______________________________
                                             Title:_____________________________



                                             Address:___________________________
                                             ___________________________________
                                             ___________________________________

The above Form of Exercise is confirmed and accepted
this _____ day of _____________, 20___.


THE WISER OIL COMPANY


By:  ________________________________
     ________________________________
     ________________________________

                                  Exhibit A-2
<PAGE>

                                                                       EXHIBIT B


                            Purchase Price Schedule
                            -----------------------

       Year of Issuance                           Purchase Price
     of Additional Stock(1)             for Additional Warrant Shares(2)(3)
     -------------------                -----------------------------

            Year 1                             $4.250 +(.425x(n/365))

            Year 2                             $4.675 +(.468x(n/365))

            Year 3                             $5.143 +(.514x(n/365))

            Year 4                             $5.657 +(.565x(n/365))

            Year 5                             $6.222 +(.623x(n/365))

            Year 6                             $6.845 +(.684x(n/365))

            Year 7                             $7.529 +(.753x(n/365))

(1)  Year 1 shall commence on the Closing Date and shall continue through the
     first anniversary thereof.  Each of Years 2 through 7 shall commence the
     day following the previous anniversary and shall continue through the
     following anniversary.

(2)  n = the number of days elapsed in such Year, up to and including the date
     that the Additional Stock is issued.

(3)  All calculations shall be rounded to the nearest thousandth.

                                  Exhibit B-1