J&J Manufacturing just issued a bond with a $$1,000$ face value and a coupon rate of $8\%.$ If the bond has a life of $20$ years, pays annual coupons, and the yield to maturity is $7\mathrm{.}5\%,$ what is the present value of the

$4$

bond's face value?

A$)$ $$235\mathrm{.}41$

B$)$ $$341\mathrm{.}15$

C$)$ $$815\mathrm{.}56$

D$)$ $$1,000\mathrm{.}00$

E$)$ $$1,050\mathrm{.}97$