A closed-form pricing solution is proposed for the quality option embedded in Treasury bond futures contracts, under a multi-factor and Gaussian Heath, Jarrow, and Morton (1992) framework. Such an analytical solution can be obtained through a conditioning approximation, in the sense of Curran (1994) and Rogers and Shi (1995), or via a rank 1 approximation, following Brace and Musiela (1994). Mo...