Suppose a ten$-$year, $$1,000$ bond with an $8\mathrm{.}1\%$ coupon rate and semiannual coupons is trading for $$1,034\mathrm{.}03.$

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 $9\mathrm{.}3\%$ APR, what will be the bond's price?

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

The bond's yield to maturity is $.($Round to two decimal places.$)$

b$.$ If the bond's yield to maturity, changes to $9\mathrm{.}3\%$ APR, what will be the bond's price?

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