under section 403(b)(3)(A)(i) of title 37, United States Code, for the area in which the covered housing exists for each member to whom such lessor leases covered housing for such month. (b) Covered housing In this section, the term covered housing means a unit of housing— (1) acquired or constructed under the alternative authority of subchapter IV of chapter 169 of title 10, United States Code (known as the Military Housing Privatization Initiative)