Assume that you are considering the purchase of a $20-$year, noncallable bond with an annual coupon rate of $10\mathrm{.}4\%.$ The bond has a face value of $$1,000,$ and

it makes semiannual interest payments. If you require a $12\mathrm{.}5\%$ nominal yield to maturity on this investment, what is the maximum price you should be

willing to pay for the bond?

a$.$ $$471\mathrm{.}38$

b$.$ $$833\mathrm{.}51$

c$.$ $$894\mathrm{.}26$

d$.$ $$881\mathrm{.}97$

e$.$ $$846\mathrm{.}86$