Suppose a $10-$year, $$1,000$ bond with a coupon rate of $8\%$ and semiannual coupons is trading for a price of $$973\mathrm{.}27.$

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 $9\%$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.$)$

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

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