A$$ BBB$-$rated corporate bond has a yield to maturity of $10\mathrm{.}9\%.$ A U$.$S$.$ Treasury security has a yield to maturity of $9\mathrm{.}5\%.$ These yields are quoted as APRs with semiannual compounding. Both bonds pay semiannual coupons at an annual rate of $9\mathrm{.}9\%$ and have five years to maturity.$$

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?

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Part $1$

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

The price of the Treasury security as a percentage of face value is

$$

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

Part $2$

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

The price of the$$ BBB$-$rated corporate bond as a percentage of face value is

$$

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

Part $3$

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

The credit spread on the BBB bonds is

$$

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