Suppose a $10-$year, $$$$1,000$ bond with a coupon rate of$9\%$ and semiannual coupons is trading for a price of $$$$1,142\mathrm{.}12.$

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

b$.$ If the$$ bond's yield to maturity changes to $10\%$APR$,$ what will the$$ bond's price$$ be$?$

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

The YTM is $\_\_\%.($Round to two decimal$$ places.$)$

Part $2$

b$.$ If the$$ bond's yield to maturity changes to $13\%$APR$,$ what will the$$ bond's price$$ be$?$

The price is $$$ $\_\_\_.($Round to the nearest$$ cent.$)$