A BBB$-$rated corporate bond has a yield to maturity of $5\mathrm{.}8\%.$ A U$.$S$.$ Treasury security has a yield to maturity of $4\mathrm{.}5\%.$ These yields are quoted as APRs with semiannual compounding. Both bonds pay semi$-$annual coupons at a rate of $5\mathrm{.}2\%$ and have $5$ 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?