A$$ BBB$-$rated corporate bond has a yield to maturity of $5\mathrm{.}1\%.$ A U$.$S$.$ Treasury security has a yield to maturity of $3\mathrm{.}3\%.$ These yields are quoted as APRs with semiannual compounding. Both bonds pay$$ semi$-$annual coupons at a rate of $3\mathrm{.}4\%$ 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?

Question content area bottom

Part $1$

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

$$

enter your response here$\%.($Round to three decimal$$ places.$)$