uppose a$$ ten$-$year, $ $1$ comma $000$ bond with an $8\mathrm{.}0\%$ coupon rate and semiannual coupons is trading for $ $1$ comma $034\mathrm{.}74.$

a$.$ What is the$$ bond's yield to maturity$($expressed as an APR with semiannual$$ compounding$)?$

b$.$ If the$$ bond's yield to maturity changes to $9\mathrm{.}0\%$APR$,$ what will be the$$ bond's price?

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Part $1$

a$.$ What is the$$ bond's yield to maturity$($expressed as an APR with semiannual$$ compounding$)?$

The$$ bond's yield to maturity is

$$

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

Part $2$

b$.$ If the$$ bond's yield to maturity changes to $9\mathrm{.}0\%$APR$,$ what will be the$$ bond's price?

The new price for the bond is $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$