Exhibit 23.1 Consent of Independent Auditors The Board of Directors Dynex Securities Corporation We consent to the incorporation by reference in the registration statement (No. 33-84846) of Dynex Securities Corporation on Form S-3 of our report dated March 26, 1999, appearing in this Annual Report on Form 10-K of Dynex Securities Corporation for the year ended December 31, 1998. DELOITTE & TOUCHE LLP Richmond, Virginia March 31, 1999