Donathan Corporation's bonds have a $15-$year maturity, a $7\mathrm{.}25\%$ semiannual coupon, and a par value of $$1,000.$ The going interest rate $(rd)$ is $6\mathrm{.}20\%,$ based on semiannual compounding. What is the bond's price?

a$.$ $$1,129\mathrm{.}12$

b$.$ $$1,074\mathrm{.}05$

c$.$ $$1,101\mathrm{.}58$

d$.$ $$1,047\mathrm{.}19$

e$.$ $$1,157\mathrm{.}35$