The authority shall establish, within the resources allocated by the State Bond Commission to the Department of Housing for the purposes of sections 8-265o to 8-265v, inclusive, a residential mortgage guarantee program. The purpose of the program shall be to enable residential mortgagors to obtain mortgage credit, otherwise unavailable, for the refinancing of existing mortgages. The authority shall implement the program in a manner designed to facilitate the qualifications of the loans guaranteed under the program for sale to one or more secondary mortgage markets for such loans. The authority shall compute the amount of guarantees authorized for the purposes of sections 8-265o to 8-265v, inclusive, on the basis of not more than ten times the resources allocated by the State Bond Commission to the Department of Housing for such purposes, including fees received pursuant to § 8-265t.