A BBB$-$rated corporate bond has a yield to maturity of $13\mathrm{.}7\%.$ A U$.$S$.$ Treasury security has a yield to maturity of $11\mathrm{.}7\%.$ These yields are quoted as APRs with semiannual compounding. Both bonds pay semiannual coupons at a rate of $11\mathrm{.}9\%$ and have five years to maturity.

a$.$ What is the price $($expressed as a percentage of the face value$)$ of the Treasury bond?

b$.$ What is the price $($expressed as a percentage of the face value$)$ of the BBB$-$rated corporate bond?

c$.$ What is the credit spread on the BBB bonds?