Suppose a $10-$year, $$1,000$ bond with a coupon rate of $8\mathrm{.}0\%$ and semiannual coupons is trading for $$1,034\mathrm{.}74.$ 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 $9\mathrm{.}0\%$ APR, what will be the bond's price?