Consider a $8-$year, $$1,000$ par, $4\mathrm{.}5\%$ bond that pays semi$-$annual coupons. What is the price of this bond if it has a yield to maturity $($YTM$)$ of $5\%?$

Consider a $6-$year zero$-$coupon bond with a par value of $$1,000$ selling for $$813\mathrm{.}501.$ What is the yield to maturity $($YTM$)$ of this bond?