Terry and Perry wants to issue $10-$year, zero coupon bonds that yield $7\mathrm{.}5$ percent. A zero$-$coupon bond is a bond that pays no interest. Therefore, it always sells at a discount. How much will you pay for these bonds if the face value is $$1,000?($Assume semi$-$annual compounding.$)$

a$.$

$$692\mathrm{.}02$

b$.$

$$235\mathrm{.}41$

c$.$

$$356\mathrm{.}08$

d$.$

$$478\mathrm{.}89$

e$.$

$$369\mathrm{.}94$