You'd like to buy a $25-$year, noncallable bond with an annual coupon rate of $8\mathrm{.}4\%$ paid semi$-$annually. The bond has a par value of $$1,000.$ If you require an $6\mathrm{.}35\%$ nominal yield to maturity on this investment, what should you be willing to pay for the bond?

O a$.$ $$1044\mathrm{.}66$

$$ b$.$ $$1071\mathrm{.}34$

O c$.$ $$1255\mathrm{.}19$

$$ d$.$ $$1012\mathrm{.}53$

$0$ e$.$ $$1184\mathrm{.}27$