service company

(i) any corporation—

(I) that is organized to perform services authorized by this chapter or, in the case of a corporation owned in part by a State savings association, authorized by applicable State law; and

(II) all of the capital stock of which is owned by 1 or more insured savings associations; and

(ii) any limited liability company—

(I) that is organized to perform services authorized by this chapter or, in the case of a company, 1 of the members of which is a State savings association, authorized by applicable State law; and

(II) all of the members of which are 1 or more insured savings associations;