A BBB$-$rated corporate bond has a yield to maturity of $10\mathrm{.}4\%.$ A U$.$S$.$ Treasury security has a yield to maturity of $8\mathrm{.}7\%.$ These yields are quoted as APRs with semiannual

compounding. Both bonds pay semi$-$annual coupons at a rate of $9\mathrm{.}6\%$ 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

$\%.($Round to three decimal places.$)$