Suppose a $10-$year, $$1,000$ bond with a coupon rate of $8\mathrm{.}4\%$ and semiannual coupons is trading for $$1,034\mathrm{.}75.$ a$.$ What is the$$ bond's yield to maturity$($expressed as an APR with semiannual$$ compounding$)?$ b$.$ If the$$ bond's yield to maturity changes to $9\mathrm{.}2\%$APR$,$ what will be the$$ bond's price? Question content area bottom 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

$9\mathrm{.}2\%9\mathrm{.}2\%$

$$APR$,$ what will be the$$ bond's price?

The new price for the bond is

$$$enter your response here.

$($Round to the nearest$$ cent.$)$