Assume that you are considering the purchase of a $7-$year bond with an annual coupon rate of $7\mathrm{.}0\%.$ The bond has face value of $$1,000$ and makes semiannual interest payments. If you require an $10\mathrm{.}0\%$ nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?

a$.,729\mathrm{.}30$

b$.1,021\mathrm{.}60$

C$.1,000\mathrm{.}00$

d$.851\mathrm{.}52$