$($Related to Checkpoint $9\mathrm{.}2$ and Checkpoint $9\mathrm{.}3)($Bond valuation$)$ Fingen's $16-$year, $$1,000$ par value bonds pay $13$ percent interest annually. The market price of the bonds is $$900$ and the market's required yield to maturity on a comparable$-$risk bond is $16$ percent.

a$.$ Compute the bond's yield to maturity.

b$.$ Determine the value of the bond to you, given your required rate of return.

c$.$ Should you purchase the bond?