BANDAG INC
DEF 14A, 1998-04-14
TIRES & INNER TUBES
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                            SCHEDULE 14A INFORMATION
   Proxy Statement Pursuant to Section 14(a) of the Securities Exchange Act
   of 1934
                              (Amendment No. ____)

   Filed by the Registrant [X]
   Filed by a Party other than the Registrant [ ]

   Check the appropriate box:

   [ ]  Preliminary Proxy Statement
   [ ]  Confidential, for Use of the Commission Only (as permitted by
        Rule 14a-6(e)(2))
   [X]  Definitive Proxy Statement
   [ ]  Definitive Additional Materials
   [ ]  Soliciting Material Pursuant to Section  240.14a-11(c) or
        Section 240.14a-12

                               Bandag, Incorporated              
                (Name of Registrant as Specified in its Charter)

                               Bandag, Incorporated                         
     (Name of Person(s) Filing Proxy Statement if other than the Registrant)

   Payment of Filing Fee (Check the appropriate box):

   [X]  No fee required.

   [ ]  Fee computed on table below per Exchange Act Rules 14a-6(i)(4) and
        0-11.

        1)  Title of each class of securities to which transaction applies:

        2)  Aggregate number of securities to which transaction applies:

        3)  Per unit price or other underlying value of transaction computed
        pursuant to Exchange Act Rule 0-11 (Set forth the amount on which the
        filing fee is calculated and state how it was determined):

        4)  Proposed maximum aggregate value of transaction:

        5)  Total fee paid:

   [ ]  Fee paid previously with preliminary materials.

   [ ]  Check box if any part of the fee is offset as provided by Exchange
        Act Rule 0-11(a)(2) and identify the filing for which the offsetting
        fee was paid previously.  Identify the previous filing by
        registration statement number, or the Form or Schedule and the date
        of its filing.

        1)  Amount Previously Paid:

        2)  Form, Schedule or Registration Statement No.:

        3)  Filing Party:

        4)  Date Filed:

   <PAGE>

   BANDAG, INCORPORATED
   Bandag Headquarters
   2905 North Highway 61
   Muscatine, Iowa 52761-5886
   April 6, 1998


                    NOTICE OF ANNUAL MEETING OF SHAREHOLDERS

                             To Be Held May 5, 1998


   To The Shareholders:

        The Annual Meeting of the Shareholders of Bandag, Incorporated, an
   Iowa corporation, will be held at the Holiday Inn, 2905 North Highway 61,
   Muscatine, Iowa, on May 5, 1998, commencing at ten o'clock a.m., Central
   Daylight Time, for the following purposes:

        (1)  To elect three directors for terms of three years and one
             director for a term of two years.

        (2)  To act upon a proposal to approve and adopt the Bandag,
             Incorporated Employee Stock Purchase Plan.

        (3)  To ratify the selection of Ernst & Young LLP as independent
             auditors of the Corporation for the fiscal year ending December
             31, 1998.

        (4)  To transact such other business as may properly come before the
             meeting or any adjournment thereof.

        The Board of Directors has fixed March 13, 1998 as the record date
   for the determination of shareholders entitled to notice of and to vote at
   the meeting.

        You are invited to attend the meeting; however, if you do not expect
   to attend in person, you are urged to sign, date and return immediately
   the enclosed Proxy, which is solicited by the Board of Directors.  You may
   revoke your Proxy and vote in person should you attend the meeting.

                                 By Order of the Board of Directors



                                 WARREN W. HEIDBREDER, Secretary

   <PAGE>

   BANDAG, INCORPORATED
   Bandag Headquarters
   2905 North Highway 61
   Muscatine, Iowa 52761-5886
   April 6, 1998


                         P R O X Y    S T A T E M E N T


   This Proxy Statement is furnished in connection with the solicitation of
   proxies by the Board of Directors of Bandag, Incorporated (the
   "Corporation") to be voted at the Annual Meeting of the Shareholders of
   the Corporation to be held on Tuesday, May 5, 1998, or at any adjournment
   thereof, for the purposes set forth in the foregoing Notice of Annual
   Meeting.  Any shareholder giving a proxy may revoke it at any time prior
   to its exercise.

        Shareholders of record at the close of business on March 13, 1998,
   will be entitled to vote at the meeting or any adjournment thereof.  At
   the close of business on March 13, 1998, there were 9,754,548 outstanding
   $1.00 par value shares of Common Stock and 2,048,132 outstanding $1.00 par
   value shares of Class B Common Stock.  Each share of Common Stock is
   entitled to one vote and each share of Class B Common Stock is entitled to
   ten votes at the meeting.

        The Corporation's Annual Report for the fiscal year ended
   December 31, 1997, this Proxy Statement and the enclosed form of proxy are
   being mailed to shareholders on or about April 6, 1998.

        The following table sets forth information as to the Common, Class A
   Common and Class B Common shares of the Corporation beneficially owned by
   each director and director-nominee, each of the executive officers named
   in the Summary Compensation Table and by all directors and executive
   officers as a group as of March 13, 1998:

                                                             Percentage of
                                                               Aggregate
                                               Percentage     Voting Power
                                              of Outstanding    of Common
                                  Amount        Stock of         Stock
    Directors, Nominees and   Beneficially     Respective     and Class B
       Executive Officers       Owned[1]       Class [1]     Common Stock**

    Lucille A. Carver  
      Common Stock            2,615,685            27%             46%
      Class A Common Stock    3,730,431            34%
      Class B Common Stock    1,114,746            54%

    Martin G. Carver [2] [3]
      Common Stock              141,463             1%             17%
      Class A Common Stock      575,740             5%
      Class B Common Stock      502,622            25%

    Roy J. Carver, Jr.
      Common Stock                  -0-            -0- 
      Class A Common Stock      195,000             2%             13%
      Class B Common Stock      400,732            20%

    Robert T. Blanchard
      Common Stock                  200             *
      Class A Common Stock          -0-             0               *
      Class B Common Stock          -0-             0

    Gary E. Dewel
      Common Stock                  -0-            -0-
      Class A Common Stock          -0-            -0-             -0-
      Class B Common Stock          -0-            -0-

    James R. Everline
      Common Stock                  100             *
      Class A Common Stock          450             *               *
      Class B Common Stock          350             *

    Phillip J. Hanrahan
      Common Stock                  -0-            -0-              *
      Class A Common Stock          500             *
      Class B Common Stock          -0-            -0-
                                                              
    Edgar D. Jannotta
      Common Stock                7,000             *               *
      Class A Common Stock        7,000             *
      Class B Common Stock          -0-            -0-

    R. Stephen Newman
      Common Stock                2,500             *               *
      Class A Common Stock        2,500             *
      Class B Common Stock          -0-            -0-

    Thomas E. Dvorchak [4]
      Common Stock                9,238             *               *
      Class A Common Stock        4,825             *
      Class B Common Stock          -0-            -0-

    Sam Ferrise II
      Common Stock                1,345             *               *
      Class A Common Stock        1,087             *
      Class B Common Stock          -0-            -0-

    Hong Yan Henry Li
      Common Stock                  842             *               *
      Class A Common Stock          842             *
      Class B Common Stock          -0-            -0-

    Patrick K. Robbins
      Common Stock                  890             *               *
      Class A Common Stock          897             *
      Class B Common Stock          -0-            -0-

    All Directors, Nominees
     and Executive Officers
     as a Group (17 Persons)                                       76%
      Common Stock            2,789,355            29%
      Class A Common Stock    4,528,154            41%
      Class B Common Stock    2,018,683            99%

   *  Shares owned constitute less than 1% of shares outstanding and less
   than 1% of votes entitled to be cast.

   ** Shares of Class A Common Stock are non-voting.

   [1] Beneficial owners exercise both sole voting and sole investment power
       unless otherwise stated. The Class B Common Stock is convertible on a
       share-for-share basis into Common Stock at the option of the
       shareholder. As a result, pursuant to Rule 13d-3(d)(1) of the
       Securities Exchange Act of 1934, a shareholder is deemed to have
       beneficial ownership of the shares of Common Stock which such
       shareholder may acquire upon conversion of the Class B Common Stock. 
       In order to avoid overstatement, the amount of Common Stock
       beneficially owned does not take into account such shares of Common
       Stock which may be acquired upon conversion (an amount which is equal
       to the number of shares of Class B Common Stock held by a
       shareholder). The percentage of outstanding Common Stock is based on
       the total number of shares of Common Stock outstanding as of March 13,
       1998 (9,754,548 shares), and does not take into account shares of
       Common Stock which may be issued upon conversion of the Class B Common
       Stock.

   [2] Mr. Carver disclaims beneficial ownership of 37,599 shares of Common
       Stock, 5,300 shares of Class A Common Stock and 525 shares of Class B
       Common Stock held by members of his family.

   [3] Includes 80,000 shares of Common Stock and 80,000 shares of Class A
       Common Stock which Mr. Carver has the right to acquire upon exercise
       of stock options within 60 days after March 13, 1998.

   [4] Mr. Dvorchak disclaims beneficial ownership of 3,750 shares of Class A
       Common Stock held by a member of his family.

                        ---------------------------------

        Shareholders Owning More Than Five Percent.  The following table
   provides information concerning persons known by the Corporation to
   beneficially own more than five percent of any class of the Corporation's
   voting securities as of March 13, 1998, other than the ownership of
   Lucille A. Carver, Martin G. Carver and Roy J. Carver, Jr., which is
   contained in the previous table:

                                  Amount        Percentage    Percentage of
                               Beneficially   of Outstanding    Aggregate
         Name and Address          Owned       Common Stock    Voting Power

    The Capital Group
    Companies, Inc.(1)
    333 South Hope Street
    Los Angeles, CA  90071
         Common Stock          849,100(1)          8.7%            2.8%

    Barclays Global
    Investors, N.A.(2)
    45 Fremont Street
    San Francisco, CA  94105
         Common Stock          868,401(2)          8.9%            2.9%


   *    Shares beneficially owned constitute less than 1% of votes entitled
        to be cast.
   __________________________

   (1)  Information shown is based on a Schedule 13G filed with the
        Securities and Exchange Commission by The Capital Group Companies,
        Inc. and its wholly-owned subsidiary, Capital Guardian Trust Company. 
        Of the shares shown, The Capital Group Companies, Inc. has sole
        voting power over 774,100 of such shares, shares voting power over
        none of such shares and has sole power to dispose or direct the
        disposition of all such shares.

   (2)  Information shown is based on a jointly filed Schedule 13G filed with
        the Securities and Exchange Commission by Barclays Bank, PLC,
        Barclays Global Investors, LTD, Barclays Trust and Banking Company
        (Japan) Ltd., Barclays Global Investors, N.A. and Barclays Global
        Fund Advisors.  Of the shares shown, such parties have sole voting
        power over 817,301 of such shares, share voting power over none of
        such shares and have sole power to dispose or direct the disposition
        of all such shares.

                        ---------------------------------

   <PAGE>
                      Proposal No. 1-ELECTION OF DIRECTORS

        The Articles of Incorporation require election of directors to
   staggered terms of three years.  The Board of Directors elected Gary E.
   Dewel and Phillip J. Hanrahan on August 26, 1997 to serve in accordance
   with the bylaws until the next annual meeting of shareholders.  Mr.
   Hanrahan was elected to fill the unexpired term of Robert K. Drummond, who
   resigned on July 29, 1997 and whose term would have expired in 1998.  Mr.
   Dewel was elected to fill the vacancy caused by the resignation of Stephen
   A. Keller on February 5, 1997.  At the meeting, three nominees will be
   elected for three-year terms expiring in 2001, and one nominee, Mr. Dewel,
   will be elected for a two-year term expiring in 2000.

        Proxies will be voted for the election of each of the nominees listed
   below, unless the shareholder giving the proxy votes against, or abstains
   from voting for, any nominee.  If, as a result of unforeseen
   circumstances, any such nominee shall be unable  to serve as director,
   proxies will be voted for the election of such person or persons as the
   Board may select. Information about the nominees is set forth below:


                   NOMINEES FOR ELECTION TO BOARD OF DIRECTORS

        ROY J. CARVER, JR., age 54, is Chairman of the Board of Directors and
   Chief Executive Officer of Carver Pump Company, Muscatine, Iowa.  During
   1988, Mr. Carver acquired a chain of hardware stores and is President of
   the Muscatine, Iowa based company, Carver Hardware and Real Estate.  Mr.
   Carver is President of Carver Aero, Inc., which operates fixed base
   operations at airports in Muscatine, Iowa; Davenport, Iowa and Clinton,
   Iowa; President of Carver Hotel Enterprises, Inc., a Muscatine, Iowa based
   hotel and restaurant operation; and President of Harrington Signal, Inc.,
   an electronic signal panel manufacturing company located in Moline,
   Illinois.  Mr. Carver holds directorships in Catalyst, Inc.,  Iowa First
   Bancshares Corp. and Met-Coil Systems Corporation.  He is a member of the
   Contributions Committee, Management Continuity and Compensation Committee,
   Nominating Committee and the Strategic Planning Committee.  Mr. Carver has
   been a Director since 1982.

        GARY E. DEWEL, age 55, since August 1997 has been Vice President,
   Supply Chain for Solutia Inc., St. Louis, Missouri, a spinoff of the
   chemical businesses of Monsanto Company.  Prior to joining Solutia Inc.,
   Mr. Dewel was Vice President, Supply Chain of Monsanto Company
   (1994-August 1997) and held several Vice President positions with Navistar
   International Corporation (1979-1993).  Mr. Dewel is a member of the Audit
   Committee, Stock Option Committee and Strategic Planning Committee.  Mr.
   Dewel has been a Director since August 1997.

        JAMES R. EVERLINE, age 56, is President of Everline & Co., a mergers
   and acquisitions/management consulting company.  Previously, Mr. Everline
   was President, Investment Banking Division, of Henry & Company (1990-
   December 1991).  Henry & Company is engaged in the venture capital and
   investment banking business.  Prior to Mr. Everline's employment by Henry
   & Company, he was a Partner of Founders Court Investors Inc. (1988-1989)
   and served as Vice President, Capital Markets Group, Bank of America
   (1981-1988). He is a member of the Audit Committee, Executive Committee,
   Management Continuity and Compensation Committee, Nominating Committee and
   Stock Option Committee.  Mr. Everline has been a Director since 1982.

        PHILLIP J. HANRAHAN, age 58, has been for more than five years a
   partner in the Milwaukee law firm of Foley & Lardner.  In 1997, the
   Corporation paid fees for legal services to Foley & Lardner, and the
   Corporation anticipates that similar services may be provided by Foley &
   Lardner in the current fiscal year.  Mr. Hanrahan's fees as a Director are
   paid to Foley & Lardner, which credits the sums to the Corporation's legal
   services account.  Mr. Hanrahan is a member of the Management Continuity
   and Compensation Committee.  Mr. Hanrahan has been a Director since August
   1997.

                         DIRECTORS CONTINUING IN OFFICE

        LUCILLE A. CARVER, age 80, has for more than five years served as
   Treasurer of the Corporation.  She is a member of the Contributions
   Committee and the Nominating Committee.  Mrs. Carver has been a Director
   since 1957.  Her term expires in 1999.

        MARTIN G. CARVER, age 49, was elected Chairman of the Board effective
   June 23, 1981, Chief Executive Officer effective May 18, 1982, and
   President effective May 25, 1983.  Mr. Carver was also Vice Chairman of
   the Board from January 5, 1981 to June 23, 1981.  He is a member of the
   Executive Committee, Management Continuity and Compensation Committee,
   Nominating Committee and the Strategic Planning Committee.  Mr. Carver has
   been a Director since 1978.  His term expires in 1999.

        EDGAR D. JANNOTTA, age 66.  On  January 2, 1997,  William Blair &
   Company converted from a partnership to a limited liability company, at
   which time Mr. Jannotta became Senior Director of William Blair & Company,
   L.L.C.  From January 1, 1995 to January 2, 1997 Mr. Jannotta was Senior
   Director of William Blair & Company, after having served as Managing
   Partner for more than five years.  He holds directorships in AAR Corp.,
   Aon Corporation, Molex Incorporated, Oil-Dri Corporation of America,
   Safety-Kleen Corp. and Unicom Corporation.  William Blair & Company,
   L.L.C. provided investment banking services to the Corporation in 1997 and
   the Corporation anticipates that services may be provided to the
   Corporation in the current fiscal year.  He is a member of the Audit
   Committee, Management Continuity and Compensation Committee and the
   Nominating Committee.  Mr. Jannotta has been a Director since 1973.  His
   term expires in 1999.

        ROBERT T. BLANCHARD, age 53, since 1992 has been President of the
   North American Beauty Care Sector of The Procter & Gamble Company, a
   consumer products company.   He also serves as Global Executive of several
   Procter & Gamble beauty care categories.  Mr. Blanchard joined The Procter
   & Gamble Company in 1967 and has held numerous positions, including Vice
   President/General Manager--Northern European Division, Vice
   President/General Manager--Beverages Division, and Group Vice President,
   Global Strategic Planning--Health and Beauty Care.  Mr. Blanchard is a
   member of the Audit Committee, Management Continuity and Compensation
   Committee, Stock Option Committee and Strategic Planning Committee.  Mr.
   Blanchard has been a Director since May 1996.  His term expires in 2000.

        R. STEPHEN NEWMAN, age 54, is President and Chief Executive Officer
   of Bacon's Information, Inc., and President and Chief Executive Officer of
   Nelson Information, Inc., operating units of Primedia Corporation
   (Formerly K-III Communications).  Mr. Newman has been President of Bacon's
   Information, Inc., a media information provider, since August 1990.  He
   has been President of Nelson Information, Inc., an investment management
   information provider, since December 1997.  From 1982 to 1990, he was
   President of MGI Corporation, a computer services company.  Mr. Newman is
   a member of the Audit Committee, Management Continuity and Compensation
   Committee, Stock Option Committee and Strategic Planning Committee.  Mr.
   Newman has been a Director since 1983.  His term expires in 2000.

        Directors are elected by a majority of the votes cast (assuming a
   quorum is present).  Consequently, any shares not voted at the Annual
   Meeting, whether due to abstentions, broker non-votes or otherwise, will
   have no impact on the election of directors.


                    THE BOARD OF DIRECTORS AND ITS COMMITTEES

        The Board of Directors met six times in 1997.

        The Audit Committee met three times in 1997; its functions are to
   review major accounting decisions with management and the independent
   auditors, to confer with such auditors with respect to the scope and
   results of the annual audit, to review the annual audit and evaluate the
   auditors' performance, to recommend to the Board of Directors annually the
   selection of independent auditors for the ensuing year, to recommend the
   scope and format of financial information to be submitted to the Board of
   Directors, to review the scope of financial information included in the
   Annual Report to Shareholders, to review the program of internal audit for
   the year, to review the financial data included in all required
   governmental reports, and to review the audits of all pension, profit
   sharing and other trust funds held for the benefit of employees of the
   Corporation. The Committee also reviews various insurance coverages of the
   Corporation and the Corporation's compliance with the Foreign Corrupt
   Practices Act.

        The Management Continuity and Compensation Committee met four times
   in 1997; its functions are to review, evaluate and determine executive
   level compensation and to recommend to the Board of Directors the election
   of corporate officers.

        The Nominating Committee met three times in 1997; its duties relate
   to the evaluation and recommendation to the Board of Directors of
   prospective candidates for election as directors of the Corporation. The
   Nominating Committee will consider recommended nominations for the
   position of director which are submitted in writing by the shareholders
   and addressed to the Committee in care of the Corporation at Muscatine,
   Iowa.

        The Stock Option Committee met two times in 1997; its function is to
   select key employees and to award options and restricted stock grants to
   those key employees whose judgment, initiative and efforts contribute
   materially to the successful performance of the Corporation.

        The Strategic Planning Committee met two times in 1997; its function
   is to participate in the creation of the Corporation's business
   objectives, strategies and action plans; and to review their perspectives
   on them with the full Board.  This participation is purely advisory and
   the Committee has no formal approval role.

             In 1997, Lucille A. Carver attended 69% of the aggregate of all
   meetings of the Board of Directors and meetings of the Committees on which
   she served.

                REMUNERATION OF EXECUTIVE OFFICERS AND DIRECTORS

   Summary Compensation Information

   The following table sets forth certain information concerning compensation
   paid for the last three fiscal years to the Corporation's Chief Executive
   Officer and each of its five other most highly compensated executive
   officers as of December 31, 1997 whose total cash compensation exceeded
   $100,000 in fiscal 1997.  The persons named in the table are sometimes
   referred to herein as the "named executive officers."

   <TABLE>

                           Summary Compensation Table
   <CAPTION>
                                                                                        Long Term
                                                                                      Compensation
                                                                    Other Annual       Restricted
                                                                    Compensation          Stock           All Other
     Name and Principal Position     Year     Salary      Bonus          [1]           Award(s)[2]     Compensation [3]
    <S>                              <C>     <C>           <C>          <C>              <C>                <C>
    Martin G. Carver                 1997    $345,942      $0           $124,947         $152,171           $ 13,722
      Chairman of the Board,         1996     332,424       0            124,707          151,876             13,181
      Chief Executive Officer        1995     321,340       0             91,264          111,417             20,255
      and President

    Thomas E. Dvorchak               1997    $344,409      $0            $ 5,006          $   -0-           $ 39,398
      Senior Vice President          1996     321,860       0             27,870           28,126             25,573
                                     1995     309,127       0             24,813           27,102             26,203

    Hong Yan Henry Li                1997    $285,477      $0            $31,581          $40,514           $221,370
      Vice President, Asian          1996     113,077       0             29,875           40,312            124,044
      Operations                     1995         -0-       0                -0-              -0-                -0-

    Sam Ferrise II                   1997    $283,140      $0            $33,663         $ 40,514           $ 13,722
      Vice President, Sales and      1996     219,126       0             35,213           40,312             13,181
      Marketing                      1995     171,896       0              8,998           12,045             15,855

    Patrick K. Robbins               1997    $277,487      $0            $23,839          $40,514            $85,019
      Vice President and             1996     157,252       0             47,958           18,750             50,765
      General Manager,               1995     119,995       0             33,112            6,023             56,486
      Eastern Hemisphere
      Retread Division (EHRD)
      and Southern Division

   [1]  Amounts shown represent the tax reimbursement or "gross up" with respect to restricted stock awards and certain other
        fringe benefits and, in Mr. Li's and Mr. Robbin's cases, includes tax "gross up" in connection with foreign service
        assignments.

   [2]  At December 31, 1997 the number of shares held and the aggregate market value of restricted stock held by the named
        executive officers are as follows:  Martin G. Carver, 9,830 shares Common Stock, value $525,291, and 5,970 shares Class A
        Common Stock, value $285,814; Thomas E. Dvorchak, 1,820 shares Common Stock, value $97,256, and 1,020 shares Class A
        Common Stock, value $48,833; Hong Yan Henry Li, 840 shares Common Stock, value $44,888, and 840 shares Class A Common
        Stock, value $40,215; Sam Ferrise II, 1,010 shares Common Stock, value $53,972, and 1,010 shares Class A Common Stock,
        value $48,354; and Patrick K. Robbins, 720 shares Common Stock, value $38,475, and 720 shares Class A Common Stock, value
        $34,470.  Dividends are paid on the shares of restricted stock prior to vesting.

   [3]  Of the amounts shown in this column for 1997 for each of the named executive officers, $13,722 is the Corporation's
        contribution under its Salaried Profit Sharing, Retirement and Savings Plan for each of such individuals (of which,
        because of limitations under the Internal Revenue Code of 1986, as amended, $8,722 was paid into such Plan and the
        balance to be paid by the Corporation outside such Plan).  The remainder of the amounts shown for Mr. Dvorchak, Mr. Li
        and Mr. Robbins in 1997 is $25,676, $207,648 and $71,297, respectively, representing cash paid in lieu of vacation to Mr.
        Dvorchak and allowances for foreign service assignment to Messrs. Li and Robbins, respectively.

   </TABLE>

   Stock Options

        The following table sets forth information regarding the exercise of
   stock options and the fiscal year-end value of unexercised options held by
   the named executive officers:

   <TABLE>
                       Aggregate Option Exercises in Last
                  Fiscal Year and Fiscal Year-End Option Values
   <CAPTION>
                                                             Number of        Value of Unexercised
                                                       Unexercised Options    In-the-Money Options
                                                        at Fiscal Year-End   at Fiscal Year-End[2]
                        Shares Acquired      Value
           Name           on Exercise      Realized         Exercisable            Exercisable
    <S>                     <C>           <C>               <C>                    <C>
    Martin G. Carver        40,000        $1,065,000        160,000[1]             $4,405,000

   [1]  Comprised of 80,000 shares of Common Stock and 80,000 shares of Class A Common Stock.  The options were granted in 1987
        at an exercise price equal to the closing price of the Corporation's Common Stock on the New York Stock Exchange on the
        date of grant.

   [2]  The dollar values are calculated by determining the difference between the fair market value of the underlying Common
        Stock and Class A Common Stock, respectively, at fiscal year-end and the exercise price of the options.

   </TABLE>

        Pension Plan Benefits.  The following table sets forth annual normal
   retirement age pension benefits under the Bandag Salaried Pension Plan at
   the specified remuneration and years-of-service classifications.  The
   table assumes retirement in 1998.  To the extent benefits are not paid
   under the Salaried Pension Plan due to limitations under the Internal
   Revenue Code of 1986, as amended, they are paid by the Corporation.

   <TABLE>
                                                         PENSION PLAN TABLE
   <CAPTION>
                                                Annual Pension Per Years of Service
        Highest 5-Year
        Average Annual
        Compensation    5-Years     10-Years      15-Years    20-Years     25-Years    30-Years    35-Years
           <S>          <C>         <C>           <C>         <C>          <C>         <C>         <C>
           $ 50,000     $ 3,125     $ 6,250       $ 9,375     $12,000      $14,500     $16,500      $17,750

           $100,000     $ 7,188     $14,375       $21,563     $27,000      $32,000     $36,000      $38,500

           $200,000     $15,313     $30,625       $45,938     $57,000      $67,000     $75,000      $80,000

           $250,000     $19,375     $38,750       $58,125     $72,000      $84,500     $94,500     $100,750

           $300,000     $19,575     $39,149       $58,724     $72,737      $85,360     $95,458     $101,769

           $350,000     $19,575     $39,149       $58,724     $72,737      $85,360     $95,458     $101,769

           $400,000     $19,575     $39,149       $58,724     $72,737      $85,360     $95,458     $101,769

   </TABLE>

        Pension amounts are based upon an employee's base salary and credited
   years of service.  The base salaries for each of the last three fiscal
   years to the named executive officers are set forth in the Summary
   Compensation Table under "Salary."  As of March 13, 1998, Messrs. Carver,
   Dvorchak, Li, Ferrise and Robbins had completed approximately 19, 27, 2,
   17 and 7 years of credited service under the Corporation's pension plan,
   respectively.  Benefits shown in the table are computed as a straight line
   single life annuity assuming retirement at age 65 and are not subject to
   offset for Social Security Benefits.

        In addition, each named executive officer also has a "Bandag Security
   Program" benefit under the Bandag Salaried Pension Plan.  The annual
   defined benefit payable at age 62 for each of the named executive officers
   is fixed and is as follows:  Martin G. Carver, $700; Thomas E. Dvorchak,
   $1,124; Hong Yan Henry Li, $-0-; Sam Ferrise II, $611; and Patrick K.
   Robbins, $89.

   Report of Management Continuity and Compensation Committee on Executive
   Compensation

        The seven member Management Continuity and Compensation Committee of
   the Board of Directors (the "Compensation Committee") makes all decisions
   regarding compensation of the Corporation's executive officers, except for
   the awarding of stock options and restricted stock, which are made by the
   Stock Option Committee.  Set forth below is a report submitted by the
   Compensation Committee addressing the Corporation's compensation policies
   for 1997 applicable to the Corporation's executive officers, including the
   executive officers named in the Summary Compensation Table.

        Consistent with the Corporation's commitment to adopt a world-class
   approach to improving total quality, in 1992 the Corporation adopted a new
   approach to the compensation of executive officers and other salaried
   employees.  As the Corporation learned more about total quality systems,
   their fairness to people and their necessity in achieving the
   Corporation's long-term objectives, it became apparent that the then
   existing compensation system was not designed with these objectives in
   mind.  In that spirit, a  Midpoint Compensation System (the "System") was
   approved by the Compensation Committee in 1992.

        This System eliminated arbitrary incentives which the Compensation
   Committee believes are a major barrier to continuous improvement.  As a
   result of the adoption of the System, bonuses, country club memberships,
   automobile allowances, split dollar life insurance and tax preparation
   fees, which were perquisites of top executives and some other managers,
   were eliminated.  A portion of the dollar value of these perquisites was
   rolled into the executives' base salaries.  Salary survey information was
   used to ensure that the salaries were fair and competitive with those of
   other companies similar in size to the Corporation.  Under the System,
   bonuses and most traditional executive perquisites are no longer paid. 
   Rather, under the System, an executive officer, including the Chief
   Executive Officer,  receives an annual salary fixed by the Compensation
   Committee, restricted stock awards determined by the Stock Option
   Committee, tax "gross up" payments related to such awards and Corporation
   contributions to the Corporation's Salaried Profit Sharing, Retirement and
   Savings Plan as determined by the Compensation Committee.

        Under the System, a salary "midpoint" for each executive officer,
   including the Chief Executive Officer, is established through the use of
   executive compensation salary surveys, financial performance of the
   Corporation, national trends in compensation and the Corporation's
   competitive need to retain and to recruit the very best and most capable
   people.  Such salary surveys encompass general manufacturing companies
   with revenues from $500 million to $1 billion.  In reviewing the
   Corporation's financial performance, the Compensation Committee considered
   the Corporation's revenues, net income and net income per share in light
   of the competitive and economic conditions encountered by the Corporation
   during the fiscal year, as well as the effect on the Corporation's
   financial performance resulting from the Corporation's investment in
   marketing programs, research and development, plant, machinery and
   equipment and in personnel and related programs.

        The salary "midpoints" represent the salary level in the 75th
   percentile of the salary range for each executive officer position, based
   on executive compensation salary surveys, as adjusted by the Compensation
   Committee based on an evaluation of the importance of the particular
   executive position to the Corporation.  The salary "midpoints" are
   adjusted by the Compensation Committee each year based on a review of the
   factors outlined in the immediately preceding paragraph.  These salary
   "midpoints" are used to calculate the annual increase for each executive
   officer, except the Chief Executive Officer, by multiplying the salary
   "midpoint" (not the existing annual salary) by a percentage established by
   the Compensation Committee.  Multiplying the salary "midpoint" for a given
   position by the annual percentage determined by the Compensation Committee
   increases base salaries which are currently below the salary "midpoint" by
   a greater amount than if base salaries were multiplied by the annual
   percentage, while base salaries which are currently in excess of the
   salary "midpoint" for a given position will receive a smaller increase
   than would be the case if the base salaries were multiplied by such
   percentage.  For 1998, the percentage increase was fixed at 4.0% for all
   salaried Corporation employees, including all executive officers, except
   the Chief Executive Officer.  Such increase in base salary took effect on
   January 1, 1998 and does not affect 1997 compensation.  In fixing the
   percentage increase for 1998 base salary, the Compensation Committee
   considered a variety of factors, including the inflation rate, the
   Corporation's financial performance and trends in salaried employee
   compensation increases, as disclosed by published salary forecasts.

        Mr. Martin G. Carver, Chief Executive Officer, again declined to
   receive a salary increase for 1998 based on a percentage of the salary
   "midpoint" for his position.  Instead, he again requested that his salary
   increase for 1998 be increased by a percentage of his 1997 base salary,
   which is substantially lower than his salary "midpoint."  The salary
   increase for Mr. Carver for 1998 was equal to 4.0% of his 1997 base salary
   (not his salary "midpoint").   

         Although the Compensation Committee considers the Corporation's
   financial performance in determining the total compensation for executive
   officers, including the Chief Executive Officer, there is no specific
   formula or target performance against which executive compensation is to
   be compared or judged.  Rather, the Corporation's performance is part of
   the total mix of information which the Compensation Committee considers in
   making its decisions on executive compensation.

                         Bandag, Incorporated Management
                      Continuity and Compensation Committee

                    Robert T. Blanchard    Phillip J. Hanrahan
                    Roy J. Carver, Jr.     Edgar D. Jannotta
                    Martin G. Carver       R. Stephen Newman
                    James R. Everline

   Report of Stock Option Committee on Executive Compensation

        The Stock Option Committee of the Board of Directors (the "Stock
   Option Committee"), which is composed of four non-employee directors,
   makes all decisions regarding the granting of stock options and the grant
   of restricted stock awards.  No grants of stock options were made in 1997. 
   The purpose of the Corporation's Restricted Stock Grant Plan is to provide
   long-term incentive compensation which will attract and retain superior
   executive personnel.  Under the Plan, the Stock Option Committee awards
   stock to key executives each year.  The shares are held by a custodian
   until seven years have elapsed, when they are then transferred to the
   executive.  Dividends are paid to the recipient of the restricted stock
   while the shares are held by the custodian.  If an executive who has not
   attained age 60 leaves the Corporation before the end of the seven-year
   restriction period, the shares are forfeited, except in the case of death
   or disability.  An executive who has attained age 60 and who leaves the
   Corporation prior to the end of the seven-year retention period does not
   forfeit the shares.

        During 1997 awards of restricted stock were made utilizing the
   Corporation's System.  Restricted stock awards were granted based on a
   percentage of the salary "midpoint" established for each executive
   position.  The percentages were established taking into consideration
   total compensation, as well as each executive's level of responsibility. 
   The Chief Executive Officer's percentage of "midpoint" is greater than the
   other executive officers.  In fixing a greater percentage of the Chief
   Executive Officer's "midpoint," the Stock Option Committee took into
   account that the Chief Executive Officer's base salary is substantially
   below the salary "midpoint" for his position and that his increase in base
   salary for 1998 is substantially less than he would have received had his
   increase been based on his salary "midpoint."  The  number of restricted
   shares granted was computed by multiplying the salary "midpoint" for an
   executive officer, including the Chief Executive Officer, by the
   percentage fixed by the Stock Option Committee and then dividing such 
   amount by the per share market value of the Corporation's Common Stock and
   Class A Common Stock on the date of grant.  In fixing the awards for all
   executives, including the Chief Executive Officer, the Stock Option
   Committee considered the Corporation's performance in the same manner as
   the Compensation Committee did in fixing other components of executive
   compensation.  See "Report of Management Continuity and Compensation
   Committee on Executive Compensation."  The total amount of previous awards
   made to individuals was not a factor in fixing the 1997 awards.    

                              Bandag, Incorporated
                             Stock Option Committee

                      Robert T. Blanchard   James R. Everline
                      Gary E. Dewel         R. Stephen Newman

   Compensation Committee Interlocks and Insider Participation

        The Management Continuity and Compensation Committee (the
   "Compensation Committee") consists of Messrs. Robert T. Blanchard, Martin
   G. Carver, Roy J. Carver, Jr., James R. Everline, Phillip J. Hanrahan,
   Edgar D. Jannotta and R. Stephen Newman.  The Stock Option Committee
   consists of Messrs. Robert T. Blanchard, Gary E. Dewel, James R. Everline
   and R. Stephen Newman.  Mr. Martin G. Carver is Chairman of the Board,
   Chief Executive Officer and President of the Corporation.  Mr. Roy J.
   Carver owns Carver Aero, Inc., which sold $183,324.84 of aviation fuel and
   charter services to the Corporation in 1997 (see "Transactions with
   Management/Principal Shareholders" herein).  Mr. Hanrahan is a partner of
   the law firm of Foley & Lardner, Milwaukee, Wisconsin, which has served as
   legal counsel to the Corporation for several years.  Mr. Jannotta is
   Senior Director of William Blair & Company, L.L.C., which provided
   investment banking services to the Corporation in 1997.

        Remuneration of Directors. Directors who are also full-time employees
   of the Corporation do not receive remuneration for acting as directors.
   Non-employee directors are compensated in accordance with the following
   schedule:

        Annual Fees - Chairman of Committee - $37,500. 
          Other Directors - $35,500.

        Board Meeting Attendance - $1,250 per meeting.

        Committee Meeting Attendance - Chairman - $1,500 per meeting.
          Other Directors - $1,250 per meeting.

        Transactions with Management/Principal Shareholders.  Roy J. Carver,
   Jr., son of Lucille A. Carver and brother of Martin G. Carver, owns 100%
   of Carver Aero, Inc., which operates fixed base operations at airports in
   Muscatine, Iowa; Davenport, Iowa, and Clinton, Iowa.  During 1997, it sold
   $183,324.84 of aviation fuel and charter services to Bandag, Incorporated
   at competitive prices based on volume purchased and services utilized.

                   SHAREHOLDER RETURN PERFORMANCE INFORMATION

        Set forth on the following page is a line graph comparing the yearly
   percentage change during the last five years in the cumulative total
   shareholder return (assuming reinvestment of dividends) on the
   Corporation's Common Stock and Class A Common Stock with the cumulative
   total return of the Standard & Poor's 500 Stock (Index) and the Dow Jones
   & Co., Inc. Automobile Parts & Equipment-All (Index).

   <PAGE>
                              Bandag, Incorporated
                             Stock Performance Chart

                 COMPARISON OF FIVE YEAR CUMULATIVE TOTAL RETURN

                Among Bandag, Incorporated, S&P 500 Stock (Index)
          and the Dow Jones & Co., Inc. Automobile Parts & Equipment -
                                   All (Index)

                                   [GRAPH]


                                              December 31
                               1992   1993   1994   1995   1996   1997

   Bandag, Incorporated        $100    $95   $102    $97    $86    $95

   S&P 500 Stock (Index)       $100   $110   $112   $153   $189   $252

   Automobile Parts &
   Equipment-All (Index)       $100   $124   $106   $132   $148   $190

   Assumes $100 Invested on December 31, 1992
   in Bandag, Incorporated Common Stock and
   Class A Common Stock, the S&P 500 Stock
   (Index) and the Dow Jones & Co., Inc.
   Automobile Parts & Equipment-All (Index)

   <PAGE>

      Proposal No. 2-APPROVE AND ADOPT THE EMPLOYEE STOCK PURCHASE PLAN

   General

        On March 18, 1998, the Board of Directors adopted the Bandag,
   Incorporated Employee Stock Purchase Plan (the "Stock Purchase Plan"). 
   The Stock Purchase Plan provides employees (including executive officers)
   of the Corporation with the opportunity to purchase Class A Common Stock. 
   Shares of Class A Common Stock are identical in all respects to shares of
   Common Stock, except that shares of Class A Common Stock have no voting
   rights.

        The purpose of the Stock Purchase Plan is to allow eligible employees
   of the Corporation and its subsidiaries to purchase shares of Class A
   Common Stock and thereby share in the ownership of the Corporation.  It is
   intended that the Stock Purchase Plan will qualify as an "employee stock
   purchase plan" under Section 423 of the Internal Revenue Code of 1986, as
   amended (the "Code").

        The text of the proposed Stock Purchase Plan is set forth as
   Appendix A to this Proxy Statement.  A description of the Stock Purchase
   Plan is set forth below and is qualified in its entirety by reference to
   the complete text of the Stock Purchase Plan.

   Administration

        The Stock Purchase Plan is administered by the Stock Option Committee
   (the "Committee") of the Board of Directors (the "Board").  The Committee
   has full authority and discretion, subject to the express provisions of
   the Stock Purchase Plan, to (a) construe and interpret the Stock Purchase
   Plan, (b) establish, amend and revoke such terms and conditions for the
   grant of options under the Stock Purchase Plan as the Committee may deem
   necessary or advisable, (c) adopt such rules and regulations which may
   become necessary or advisable for the operation of the Stock Purchase Plan
   and (d) make such determinations, and take such other actions, as are
   expressly authorized or contemplated in the Stock Purchase Plan or as may
   be required for the proper administration of the Stock Purchase Plan.  The
   Committee's discretion as to the interpretation and operation of the Stock
   Purchase Plan shall be final and conclusive.

   Eligibility

        Any employee of the Corporation and of such subsidiaries as may be
   designated by the Committee for participation in the Stock Purchase Plan
   is eligible to participate in the Stock Purchase Plan.  However, employees
   whose customary employment is for not more than five (5) months in any
   calendar year or whose customary employment is twenty (20) hours or less
   per week are not eligible to participate in the Stock Purchase Plan.  The
   Stock Purchase Plan provides that no employee may be granted options to
   purchase shares of Class A Common Stock under the Stock Purchase Plan that
   could result in such employee (a) owning, and/or holding options or rights
   to purchase, 5% or more of the total combined voting power or value of all
   classes of stock of the Corporation, or any subsidiary, or (b) having
   rights to purchase stock under all employee stock purchase plans of the
   Corporation that accrue at a rate which exceeds $25,000 in fair market
   value of the Class A Common Stock for each calendar year in which such
   purchase rights are outstanding.  It is anticipated that approximately
   1,700 persons will be initially eligible to participate in the Stock
   Purchase Plan.

   Shares Subject to the Stock Purchase Plan

        The maximum number of shares of Class A Common Stock which may be
   sold under the Stock Purchase Plan is 500,000, subject to adjustment in
   order to prevent dilution in certain cases as described below.  Any shares
   not purchased under an option granted under the Stock Purchase Plan shall
   again become available for sale under the Stock Purchase Plan.  Under the
   Stock Purchase Plan, the Corporation may make offerings granting eligible
   employees the option to purchase shares of Class A Common Stock.  The
   Committee, in its discretion, will determine when and for what period an
   offering will be made (the "Purchase Period"), provided that no Purchase
   Period shall exceed twenty-seven (27) months.  The Committee shall also
   determine the number of shares to be offered during each Purchase Period.

   Payroll Deductions; Withdrawal from the Stock Purchase Plan

        Employees may participate in the Stock Purchase Plan only through a
   system of regular payroll deductions.  Eligible employees will be entitled
   to apply a portion of their compensation through a system of regular
   payroll deductions, to the purchase of Class A Common Stock at a price
   equal to the lesser of 85% of the fair market value of the stock at the
   beginning of any Purchase Period or 85% of the fair market value of the
   stock at the end of such Purchase Period.  The amount withheld from an
   employee's compensation during a Purchase Period for the purchase of Class
   A Common Stock will be held until the end of the period, at which time it
   will be applied automatically to the purchase of shares.  So long as an
   employee gives notice of withdrawal at least fifteen (15) days prior to
   the end of a Purchase Period, such employee will be entitled to withdraw
   the entire accumulated balance in the payroll deduction account at any
   time before the end of the Purchase Period, but the employee may not
   participate in the Stock Purchase Plan during the balance of that Purchase
   Period.  Such withdrawal does not affect the ability of the employee to
   participate in any subsequent offering under the Stock Purchase Plan.  The
   accumulated balance of an employee's account will also be automatically
   returned to the employee in the event of a termination of employment for
   any reason, including the death of the employee.  At the sole discretion
   of the Committee with respect to any offering, interest may be paid by the
   Corporation on the accumulated balance in the account regardless of the
   ultimate disposition of the funds in the account.

   Nontransferability of Options

        An employee's right to exercise options under the Plan (a) may not be
   transferred, pledged, assigned or otherwise alienated or hypothecated by
   the employee, except by will or the laws of descent and distribution and
   (b) may be exercised only by the employee, other than by will or the laws
   of descent and distribution.

   Capital Adjustments

        To prevent the dilution or enlargement of purchase rights, in the
   event of any change in corporate capitalization such as a stock dividend,
   stock split, reorganization, recapitalization, merger, consolidation, or
   other change in the Corporation's capitalization, the Committee may
   adjust, among other things, the number of shares of Class A Common Stock
   subject to the Stock Purchase Plan and the number of shares and the
   purchase price under each outstanding option as the Committee deems
   appropriate.

   Amendment and Termination

        The Board may at any time amend or terminate the Stock Purchase Plan. 
   The Board may make such changes in the Stock Purchase Plan as may be
   necessary or desirable, in the opinion of counsel for the Corporation, to
   comply with the rules or regulations of any governmental authority, or to
   be eligible for tax benefits under the Code or the laws of any state or
   foreign government, or for any other reason.

   Certain Federal Income Tax Consequences

        Participating employees will not recognize taxable income on the
   grant or exercise of the options issued pursuant to the Stock Purchase
   Plan.  Shares received upon exercise of an option will have an initial tax
   basis equal to the option exercise price.  Although participating
   employees will not recognize any taxable income when they purchase shares,
   they will recognize ordinary income and/or gain or loss when the shares
   acquired under the Stock Purchase Plan are sold, exchanged or otherwise
   disposed of.

        Providing that the participating employee has held the shares for at
   least two years from the date the option was granted and one year after
   the option is exercised, the lesser of (a) the fair market value of the
   shares disposed of (at the time of such disposition), including shares
   sold, exchanged, gifted, transferred at death, etc., over the amount paid
   for such shares or (b) the fair market value of the shares at the time of
   grant over the option price, will be included in the employee's taxable
   income as additional ordinary compensation income on the date of
   disposition or death.  The basis of the shares will generally be increased
   by the amount of compensation income recognized.  The Corporation will not
   be entitled to a deduction in this case.  In addition, on such a sale (or
   other taxable exchange or transfer) the amount of gain or loss recognized
   by a participating employee will be the difference between the amount
   which such employee received for his or her shares and the tax basis (as
   adjusted) thereof.  Such gain or loss will generally be a long-term
   capital gain or loss.

        If the participating employee disposes of his or her shares without
   holding such shares for the two and one-year periods set forth above, then
   such employee will recognize additional ordinary compensation income in an
   amount equal to the difference between the fair market value of such
   shares on exercise and their initial tax basis.  The basis of the shares
   will generally be increased by the amount of compensation income
   recognized.  The Corporation will be entitled to a deduction in the same
   amount and at the same time as ordinary income is recognized by the
   employee participant.  The amount of gain or loss on such sale (or other
   taxable exchange or transfer) will be the difference between the amount
   which the participating employee received for his or her shares and the
   tax basis (as adjusted) thereof.  Such gain or loss will generally be a
   capital gain or loss, long-term or short-term, depending upon such
   employee's holding period.

   Offerings

        No offerings under the Stock Purchase Plan have been made and no
   shares of Class A Common Stock have been sold under such Plan.  The timing
   and amount of future offerings are solely within the discretion of the
   Committee.

   Vote Required to Approve Stock Purchase Plan

        The affirmative votes of shares of Common Stock and Class B Common
   Stock representing a majority of the votes represented and voted at the
   Annual Meeting with respect to the Stock Purchase Plan (assuming a quorum
   is present) is required to approve such Plan.  Any shares not voted at the
   Annual Meeting with respect to the Stock Purchase Plan (whether as a
   result of broker non-votes or otherwise, except abstentions) will have no
   impact on the vote.  Votes represented by shares of Common Stock and Class
   B Common Stock as to which holders abstain from voting will be treated as
   votes against the approval of the Stock Purchase Plan.

        THE BOARD RECOMMENDS A VOTE "FOR" THE APPROVAL OF THE STOCK PURCHASE
        PLAN.

   <PAGE>

        Proposal No. 3-RATIFICATION OF SELECTION OF INDEPENDENT AUDITORS

        The Board of Directors, based upon the recommendation of the Audit
   Committee, which consists of Robert T. Blanchard, Gary E. Dewel, James R.
   Everline, Edgar D. Jannotta and R. Stephen Newman, directors of the
   Corporation, has appointed Ernst & Young LLP as the Corporation's
   independent auditors for the fiscal year ending December 31, 1998.  

        Ernst & Young LLP served as the Corporation's independent auditors
   for the fiscal year ended December 31, 1997. Representatives of Ernst &
   Young LLP will be present at the Annual Meeting and will be available to
   respond to any questions raised at the meeting and make any comments they
   deem appropriate.

        Although this appointment is not required by law to be submitted to a
   vote by shareholders, the Board believes it appropriate, as a matter of
   policy, to request that the shareholders ratify the appointment of Ernst &
   Young LLP as independent auditors for 1998. If the shareholders should not
   ratify, the Board will reconsider the appointment.

                          Proposal No. 4-OTHER MATTERS

        The management of the Corporation knows of no matters to be presented
   at the meeting other than those set forth in the Notice of Annual Meeting.
   However, if any other matters properly come before the meeting, it is
   intended that the persons named in the enclosed Proxy will vote on such
   matters in accordance with their best judgments.

                          1999 SHAREHOLDERS' PROPOSALS

        The date by which proposals of shareholders intended to be presented
   at the 1999 Annual Meeting of the Corporation must be received by the
   Corporation for inclusion in its proxy statement and form of proxy
   relating to that meeting is December 7, 1998.

                                  MISCELLANEOUS

        The expense of preparing, printing and mailing this proxy statement
   and the proxies solicited hereby will be borne by the Corporation.

        Some of the officers and regular employees of the Corporation may,
   without extra remuneration, solicit proxies personally or by telephone,
   telex or telefax. The Corporation will request brokerage houses, nominees,
   custodians and fiduciaries to forward proxy materials to the beneficial
   owners of shares held of record and will reimburse such persons for their
   expenses.

                            By Order of the Board of Directors


                            WARREN W. HEIDBREDER, Secretary

   <PAGE>

                                        PROXY

                                BANDAG, INCORPORATED

                                   Muscatine, Iowa

                       PROXY FOR ANNUAL MEETING - MAY 5, 1998

              Lucille A. Carver and Martin G. Carver, or either of them each
         with power of substitution, are authorized to vote all shares of
         Common Stock (COM) and Class B Common Stock (CLB) which the
     P   undersigned is entitled to vote at the Annual Meeting of
         Shareholders of Bandag, Incorporated to be held May 5, 1998 and at
     R   any adjournment thereof.

     O        This proxy is solicited on behalf of the Company's Board of
         Directors.  Every properly signed proxy will be voted as directed. 
     X   The Board of Directors recommends a vote FOR the nominees in Item
         (1) and FOR Items (2) and (3).  Unless otherwise directed, proxies
     Y   will be voted in accordance with the foregoing sentence and in the
         discretion of the Board of Directors in connection with Item (4).

              You are encouraged to specify your choices by marking the
         appropriate boxes, SEE REVERSE SIDE, but you need not mark any
         boxes if you wish to vote in accordance with the Board of
         Directors' recommendations.  The proxy holders cannot vote your
         shares unless you sign and return this card.

                     CONTINUED, AND TO BE SIGNED ON REVERSE SIDE

   <PAGE>

   [ X ] Please mark
         votes as in
         this example.

   The signer hereby revokes all proxies heretofore given by the signer to
   vote as said meeting or any adjournment thereof.
   1.   Election of Directors   2.  Approval of Employee Stock Purchase Plan.

          FOR AGAINST ABSTAIN         FOR AGAINST ABSTAIN FOR AGAINST ABSTAIN
   Roy J.                     James R.
   Carver [_]  [_]      [_]   Everline [_]  [_]    [_]    [_]   [_]     [_]
   Jr.
                                3.   The selection of Ernst & Young LLP as
                                     independent auditors for the fiscal
                                     year ending December 31, 1998.

         FOR AGAINST ABSTAIN         FOR AGAINST ABSTAIN FOR AGAINST ABSTAIN
   Gary E.                  Phillip J.
   Dewel  [_]  [_]      [_]  Hanrahan [_]  [_]    [_]    [_]   [_]     [_]

                                4.   In their discretion upon such other 
                                     matters as may property come before 
                                     the meeting.

                                   MARK HERE               MARK HERE
                                 FOR COMMENTS/    [_]     IF YOU PLAN  [_]
                               ADDRESS CHANGE AND          TO ATTEND
                                  NOTE AT LEFT            THE MEETING

                             Please sign exactly as name appears hereon. 
                             Joint owners should each sign.  When signing
                             as attorney, executor, administrator, trustee
                             or guardian, please give full title as such.


   Signature:_______________ Date:______ Signature:______________ Date:______



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