Before revision:  In this paper, we set forth the discussion of extending the random field LIBOR market model (RFLMM) to the cross-currency setting. We assume that forward LIBOR rates of the domestics and foreign economies are lognormal and derive an approximate closed-form pricing solution for a Quanto cap written on a foreign forward LIBOR rate .
After revision:  In this paper, we set forth the discussion of extending the random field LIBOR market model (RFLMM) to the cross-currency derivatives. The uncertainty of the forward LIBOR rates of the domestics and foreign economies are lognormal and derive an approximate closed-form pricing solution for a Quanto cap written on a foreign forward LIBOR rate .