Exhibit 32.1 CERTIFICATION PURSUANT TO 18 U.S.C SECTION 1350 AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 Pursuant to 18 U.S.C. Section 1350 as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, each of the undersigned officers of Rand Capital Corporation (the "Company"), does hereby certify, to such officer's knowledge, that: The Quarterly Report on Form 10-Q for the quarter ended June 30, 2003 (the Form10-Q) of the Company fully complies with the requirement of section 13(a) or 15(d) of the Securities Exchange Act of 1934 and the information contained in the Form 10-Q fairly presents, in all material respects, the financial condition and results of operations of the Company. Dated: August 6, 2003 /s/ ALLEN F. GRUM -------------------------------- Allen F. Grum, President (Chief Executive Officer) Dated: August 6, 2003 /s/ DANIEL P. PENBERTHY --------------------------------- Daniel P. Penberthy, Treasurer (Chief Financial Officer)