<PAGE>
 
                                                                   Exhibit 99.1

                1998 CLASS A ANNUAL CERTIFICATEHOLDER'S STATEMENT
                      (To be delivered by the Paying Agent
                         each Calendar Year pursuant to
                        subsection 5.02(e) of the Pooling
                            and Servicing Agreement)

                                CAPITAL ONE BANK


                         CAPITAL ONE MASTER TRUST 1993-1

         Under the Pooling and Servicing Agreement (the "Pooling and Servicing
Agreement") dated as of September 30, 1993, between Capital One Bank (formerly
Signet Bank/Virginia), as Transferor and Servicer, and The Bank of New York, as
Trustee, the Servicer is required each year to prepare certain information
regarding distributions to Class A Certificateholders. The information which is
required to be prepared with respect to the distributions made during the
preceding calendar year is set forth below. The information is presented on the
basis of an original principal amount of $1,000 per Class A Certificate. All
capitalized terms used herein shall have the respective meanings set forth in
the Pooling and Servicing Agreement.

A.       Information Regarding Distributions 
         to Class A Certificateholders
         (Stated on the basis of $1,000 
         original principal amount).

1.       The total amount distributed to
         Class A Certificateholders, per
         $1,000 interest                                $               43.33333
                                                         -----------------------

2.       The amount of the distribution set
         forth in paragraph 1 above in
         respect of principal on the Class
         A Certificates, per $1,000 interest            $           1,000.00000
                                                         ----------------------

3.       The amount of the distribution set 
         forth in paragraph 1 above in
         respect of interest on the Class 
         A Certificates, per $1,000 interest           $            1,043.33333
                                                        -----------------------


         CAPITAL ONE BANK                       HARRIS TRUST
         as Servicer,                           as Paying Agent,


         By: /s/ Charles Kim                    By: /s/ Keith Richardson
            -------------------------------        ---------------------------
         Name:   Charles Kim                    Name:    Keith Richardson
         Title:  Director of Securitization     Title:
                 
<PAGE>
 
                1998 CLASS B ANNUAL CERTIFICATEHOLDER'S STATEMENT
                      (To be delivered by the Paying Agent
                         each Calendar Year pursuant to
                        subsection 5.02(e) of the Pooling
                            and Servicing Agreement)

                                CAPITAL ONE BANK


                         CAPITAL ONE MASTER TRUST 1993-1

         Under the Pooling and Servicing Agreement (the "Pooling and Servicing
Agreement") dated as of September 30, 1993, between Capital One Bank (formerly
Signet Bank/Virginia), as Transferor and Servicer, and The Bank of New York, as
Trustee, the Servicer is required each year to prepare certain information
regarding distributions to Class B Certificateholders. The information which is
required to be prepared with respect to the distributions made during the
preceding calendar year is set forth below. The information is presented on the
basis of an original principal amount of $1,000 per Class B Certificate. All
capitalized terms used herein shall have the respective meanings set forth in
the Pooling and Servicing Agreement.

A.       Information Regarding Distributions 
         to Class B Certificateholders
         (Stated on the basis of $1,000 
         original principal amount).

1.       The total amount distributed to 
         Class B Certificateholders, per 
         $1,000 interest                                    $          54.00000
                                                             ------------------

2.       The amount of the distribution set
         forth in paragraph 1 above in
         respect of principal on the Class 
         B certificates, per $1,000 interest                $       1,000.00000
                                                             ------------------

3.       The amount of the distribution set 
         forth in paragraph 1 above in
         respect of interest on the Class B 
         Certificates, per $1,000 interest                  $       1,054.00000
                                                             ------------------


         CAPITAL ONE BANK                       HARRIS TRUST
         as Servicer,                           as Paying Agent,


         By: /s/ Charles Kim                    By: /s/ Keith Richardson
            -------------------------------        -----------------------------
         Name:   Charles Kim                    Name:    Keith Richardson
         Title:  Director of Securitization     Title: