Suppose a $10-$year, $$1,000$ bond with a$($n$)10\%$ coupon rate and semiannual coupons is trading for a price of $$952\mathrm{.}95.$

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.$)$