How much should you be prepared to pay for a $$1,00020-$year bond with a $5\%$ coupon, semiannual payments, and a yield of $7\mathrm{.}5\%,$ compounded semiannually?

a$.$

$$743\mathrm{.}11$

b$.$

$$1256\mathrm{.}89$

c$.$

$$685\mathrm{.}14$

d$.$

$$745\mathrm{.}14$