A BBB$-$rated corporate bond has a yield to maturity of $9\mathrm{.}2\%.$ A U$.$S$.$ Treasury security has a yield to maturity of $7\mathrm{.}4\%.$ These yields are quoted as APRs with semiannual compounding. Both bonds pay semi$-$annual coupons at a rate of $7\mathrm{.}5\%$ 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?

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

The price of the Treasury bond as a percentage of face value is $68\mathrm{.}53\%.($Round to three decimal places.$)$