Assume that you are considering the purchase of a $20-$year,

noncallable bond with an annual coupon rate of $9\mathrm{.}5\%.$ The bond has a

face value of $$1,000,$ and it makes semiannual interest payments. If

you require an $7\mathrm{.}5\%$ nominal yield to maturity on this investment,

what is the maximum price you should be willing to pay for the bond?

$$928\mathrm{.}24$

$$1,205\mathrm{.}51$

$$1,362\mathrm{.}23$

$$1,482\mathrm{.}78$

$$1,217\mathrm{.}56$