<PAGE>

                                                                   EXHIBIT 99.05

                     MONTHLY CERTIFICATEHOLDERS' STATEMENT

                     FIRST USA BANK, NATIONAL ASSOCIATION

             -----------------------------------------------------
               FIRST USA CREDIT CARD MASTER TRUST, SERIES 1995-5
             -----------------------------------------------------

                 Monthly Period:                    7/1/00 to
                                                    7/31/00
                 Distribution Date:                 8/15/00
                 Transfer Date:                     8/14/00

Under Section 5.02 of the Pooling and Servicing Agreement dated as of September
1, 1992 (the "Pooling and Servicing Agreement") by and between First USA Bank,
National Association, (the "Bank") and The Bank of New York (Delaware), as
trustee (the "Trustee") the Bank, as Servicer, is required to prepare certain
information each month regarding current distributions to Certificateholders and
the performance of the First USA Credit Card Master Trust (the "Trust") during
the previous month. The information which is required to be prepared with
respect to the Distribution Date noted above and with respect to the performance
of the Trust during the month noted above is set forth below. Certain
information is presented on the basis of an original principal amount of $1,000
per Series 1995-5 Certificate (a "Certificate"). Certain other information is
presented based on the aggregate amount for the Trust as a whole. Capitalized
terms used in this Monthly Certificateholders' Statement have their respective
meanings set forth in the Pooling and Servicing Agreement.

<TABLE>
<S>                                                                                       <C>
A.   Information Regarding the Current Monthly Distribution.
     ------------------------------------------------------

     1.   The total amount of the distribution to
          Certificateholders on the Distribution Date per
          $1,000 original certificate principal amount
                                                            Class A                                 $5.47375
                                                            Class B                                 $5.57042
                                                            CIA                                     $5.98873
                                                                                                    --------
                                                            Total (Weighted Avg.)                   $5.52992

     2.   The amount of the distribution set forth in
          paragraph 1 above in respect of interest on
          the Certificates, per $1,000 original
          certificate principal amount
                                                            Class A                                 $5.47375
                                                            Class B                                 $5.57042
                                                            CIA                                     $5.98873
                                                                                                    --------
                                                            Total (Weighted Avg.)                   $5.52992
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MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1995-5
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<TABLE>
<S>                                                                                       <C>
     3.   The amount of the distribution set forth in paragraph 1
          above in respect of principal on the Certificates, per
          $1,000 original certificate principal amount
                                                            Class A                                 $0.00000
                                                            Class B                                 $0.00000
                                                            CIA                                     $0.00000
                                                                                                    --------
                                                            Total (Weighted Avg.)                   $0.00000

B.   Information Regarding the Performance of the Trust.
     --------------------------------------------------

     1.   Allocation of Principal Receivables.
          -----------------------------------

          The aggregate amount of Allocations of Principal
          Receivables processed during the Monthly Period
          which were allocated in respect of the Certificates
                                                            Class A                           $68,865,394.19
                                                            Class B                           $ 6,242,184.86
                                                            CIA                               $ 7,903,411.45
                                                                                              --------------
                                                            Total                             $83,010,990.50

     2.   Allocation of Finance Charge Receivables
          ----------------------------------------

          (a1)  The aggregate amount of Allocations of Finance
                Charge Receivables processed during the Monthly
                Period which were allocated in respect of the
                Certificates
                                                            Class A                            $7,493,848.39
                                                            Class B                            $  679,266.95
                                                            CIA                                $  860,039.61
                                                                                               -------------
                                                            Total                              $9,033,154.95

          (b1) Principal Funding Investment Proceeds (to Class A)                              $        0.00
          (b2) Withdrawals from Reserve Account (to Class A)                                   $        0.00
                                                                                               -------------
               Class A Available Funds                                                         $7,493,848.39

     3.   Principal Receivable / Investor Percentages
          -------------------------------------------

          (a)  The aggregate amount of Principal Receivables in
               the Trust as of the last day of the Monthly Period                         $36,170,316,177.04
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MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1995-5
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<TABLE>
<S>                                                                                       <C>
         (b)   Invested Amount as of the last day of the preceding
               month (Adjusted Class A Invested Amount
               during Accumulation Period)
                                                            Class A                          $500,000,000.00
                                                            Class B                          $ 45,180,000.00
                                                            CIA                              $ 57,230,000.00
                                                                                             ---------------
                                                            Total                            $602,410,000.00

         (c)   The Floating Allocation Percentage: The Invested
               Amount set forth in paragraph 3(b) above as a
               percentage of the aggregate amount of Principal
               Receivables as of the Record Date set forth in
               paragraph 3(a) above
                                                            Class A                                   1.382%
                                                            Class B                                   0.125%
                                                            CIA                                       0.158%
                                                                                                      ------
                                                            Total                                     1.665%

         (d)   During the Amortization Period: The Invested Amount
               as of ______ (the last day of the Revolving Period)
                                                            Class A                                    $0.00
                                                            Class B                                    $0.00
                                                            CIA                                        $0.00
                                                                                                       -----
                                                            Total                                      $0.00

         (e)   The Fixed/Floating Allocation Percentage: The Invested
               Amount set forth in paragraph 3(d) above as a
               percentage of the aggregate amount of Principal
               Receivables set forth in paragraph 3(a) above
                                                            Class A                                   0.000%
                                                            Class B                                   0.000%
                                                            CIA                                       0.000%
                                                                                                      ------
                                                            Total                                     0.000%
</TABLE>
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MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1995-5
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<TABLE>
<S>                                                                                       <C>
4.   Delinquent Balances.
     -------------------

     The aggregate amount of outstanding balances in the
     Accounts which were delinquent as of the end of the day
     on the last day of the Monthly Period

     (a)  35 - 64 days                                                                     $  437,696,970.34
     (b)  65 - 94 days                                                                     $  305,049,153.57
     (c)  95 - 124 days                                                                    $  238,817,304.55
     (d)  125 - 154 days                                                                   $  187,566,973.33
     (e)  155 - 184 days                                                                   $  166,126,422.59
     (f)  185 or more days                                                                 $            0.00
                                                            Total                          $1,335,256,824.38

5.   Monthly Investor Default Amount.
     -------------------------------

     (a)  The aggregate amount of all defaulted Principal
          Receivables written off as uncollectible during the
          Monthly Period allocable to the Invested Amount
          (the aggregate "Investor Default Amount")
                                                            Class A                            $2,146,481.47
                                                            Class B                            $  194,564.11
                                                            CIA                                $  246,343.26
                                                                                               -------------
                                                            Total                              $2,587,388.84


6.   Investor Charge-Offs & Reimbursements of Charge-Offs.
     ----------------------------------------------------

     (a)  The aggregate amount of Class A Investor Charge-
          Offs and the reductions in the Class B Invested
          Amount and the CIA
                                                            Class A                                    $0.00
                                                            Class B                                    $0.00
                                                            CIA                                        $0.00
                                                                                                       -----
                                                            Total                                      $0.00

     (b)  The amounts set forth in paragraph 6(a) above, per
          $1,000 original certificate principal amount (which
          will have the effect of reducing, pro rata, the
          amount of each Certificateholder's investment)
                                                            Class A                                    $0.00
                                                            Class B                                    $0.00
                                                            CIA                                        $0.00
                                                                                                       -----
                                                            Total                                      $0.00
</TABLE>
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MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1995-5
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<TABLE>
<S>                                                                                       <C>
     (c)  The aggregate amount of Class A Investor Charge-
          Offs reimbursed and the reimbursement of
          reductions in the Class B Invested Amount and the
          CIA

                                                            Class A                                    $0.00
                                                            Class B                                    $0.00
                                                            CIA                                        $0.00
                                                                                                       -----
                                                            Total                                      $0.00

     (d)  The amounts set forth in paragraph 6(c) above, per
          $1,000 interest (which will have the effect of
          increasing, pro rata, the amount of each
          Certificateholder's investment)

                                                            Class A                                    $0.00
                                                            Class B                                    $0.00
                                                            CIA                                        $0.00
                                                                                                       -----
                                                            Total                                      $0.00

7.   Investor Servicing Fee
     ----------------------
     (a)  The amount of the Investor Monthly Servicing Fee
          payable by the Trust to the Servicer for the
          Monthly Period

                                                            Class A                              $625,000.00
                                                            Class B                              $ 56,475.00
                                                            CIA                                  $ 71,537.50
                                                                                                 -----------
                                                            Total                                $753,012.50


8.   Reallocated Principal Collections
     ----------------------------------
          The amount of Reallocated CIA
          and Class B Principal Collections applied in respect
          of Interest Shortfalls, Investor Default Amounts or Investor
          Charge-Offs for the prior month.

                                                            Class B                                    $0.00
                                                            CIA                                        $0.00
                                                                                                       -----
                                                            Total                                      $0.00

9.   Collateral Invested Amount
     (a)  The amount of the Collateral Invested Amount as of the
          close of business on the related Distribution Date after
          giving effect to withdrawals, deposits and payments to
          be made in respect of the preceding month                                           $57,230,000.00
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MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1995-5
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<TABLE>
<S>                                                                                       <C>
         (b)  The Required CIA Invested Amount as of the
              close of business of the related Distribution Date after
              giving effect to withdrawals, deposits and payments to
              be made in respect of the preceding month                                       $57,230,000.00

    10.  The Pool Factor
         ---------------
              The Pool Factor (which represents the ratio of the amount of the Investor Interest
              on the last day of the Monthly Period, inclusive of any principal payments to be
              made on the related Distribution Date, to the amount of the Investor Interest as
              of the Closing Date). The amount of a Certificateholder's pro rata share of the
              Investor Participation Amount can be determined by multiplying the original
              denomination of the holder's Certificate by the Pool Factor

                                                            Class A                               1.00000000
                                                            Class B                               1.00000000
                                                            Total                                 1.00000000

    11.  The Portfolio Yield
         -------------------
              The Portfolio Yield for the related Monthly Period                                      12.84%

    12.  The Base Rate
         -------------
              The Base Rate for the related Monthly Period                                             8.64%



C   Information Regarding the Principal Funding Account
    ---------------------------------------------------

         1.   Accumulation Period

         (a)  Accumulation Period commencement date                                               08/01/2000

         (b)  Accumulation Period Length (months)                                                          1

         (c)  Accumulation Period Factor                                                               51.57

         (d)  Required Accumulation Factor Number                                                          8

         (e)  Controlled Accumulation Amount                                                 $500,000,000.00

         (f)  Minimum Payment Rate (last 12 months)                                                   13.88%

</TABLE>
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MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1995-5
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<TABLE>
<S>                                                                                       <C>
     2.   Principal Funding Account
          -------------------------

          Beginning Balance                                                                            $0.00
               Plus:  Principal Collections for related Monthly Period from
                      Principal Account                                                                $0.00
               Plus:  Interest on Principal Funding Account Balance for
                      related Monthly Period                                                           $0.00

               Less:  Withdrawals to Finance Charge Account                                            $0.00
               Less:  Withdrawals to Distribution Account                                              $0.00
                                                                                                       -----
          Ending Balance                                                                               $0.00

    3.    Accumulation Shortfall
          ----------------------

                  The Controlled Deposit Amount for the previous
                  Monthly Period                                                                       $0.00

          Less:   The amount deposited into the Principal Funding
                  Account for the Previous Monthly Period                                              $0.00

                  Accumulation Shortfall                                                               $0.00
                                                                                                       -----
                  Aggregate Accumulation Shortfalls                                                    $0.00

     4.   Principal Funding Investment Shortfall
          --------------------------------------

                  Covered Amount                                                                       $0.00

          Less:   Principal Funding Investment Proceeds                                                $0.00
                                                                                                       -----
                  Principal Funding Investment Shortfall                                               $0.00
                                                                                                       -----
D.   Information Regarding the Reserve Account
     -----------------------------------------

     1.   Required Reserve Account Analysis
          ---------------------------------

          (a)  Required Reserve Account Amount percentage                                           0.00000%

          (b)  Required Reserve Account Amount ($)                                                     $0.00
               (0.5% of Invested Amount or other amount
               designated by Transferor)

          (c)  Required Reserve Account Balance after effect of
               any transfers on the Related Transfer Date                                              $0.00

          (d)  Reserve Draw Amount transferred to the Finance
               Charge Account on the Related Transfer Date                                             $0.00

</TABLE>

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MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1995-5
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<TABLE>
<S>                                                                                       <C>
    2.   Reserve Account Investment Proceeds
         -----------------------------------
         Reserve Account Investment Proceeds transferred to the
         Finance Charge Account on the Related Transfer Date                                           $0.00

    3.   Withdrawals from the Reserve Account
         ------------------------------------
         Total Withdrawals from the Reserve Account transferred
         to the Finance Charge Account on the related Transfer                                         $0.00
         Date (1 (d) plus 2 above)

    4.   The Portfolio Adjusted Yield
         ----------------------------
         The Portfolio Adjusted Yield for the related Monthly Period                                   2.73%

</TABLE>

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MONTHLY CERTIFICATEHOLDER'S STATEMENT
Signature Page




                                   First USA Bank, National Association
                                   as Servicer



                                   By: /s/ Tracie Klein
                                       --------------------------------
                                       Tracie Klein
                                       First Vice President