A GM and a Ford bond both have $4$ years to maturity, a $$1,000$ par value, a BB rating and pay interest semiannually. GM has a coupon rate of $6\mathrm{.}2\%,$ while Ford has a coupon rate of $5\mathrm{.}4\%.$The GM bond trades at $93\mathrm{.}29($percent of par$).$ a$.)$ What is the yield to maturity $($YTM$)?$ b$.)$What should be the price of the Ford bond $($in $$)?$