$($Related to Checkpoint $9\mathrm{.}4)($Bond valuation$)$ A bond that matures in $13$ years has a $$1,000$ par value. The annual coupon interest rate is $12$ percent and the merket's required yield to maturity on a comparable$-$risk bond is $15$ percent. What would be the value of this bond if it paid interest annually? What would be the value of this bond if it paid interest semiannually?

a$.$ The value of this bond if it paid interest annually would be $$832\mathrm{.}51.($Round to the nearest cent.$)$

b$.$ The value of this bond if it paid interest semiannually would be $ $.($Round to the nearest cent.$)$