Assume that you are considering the purchase of a $12-$year bond with an annual coupon rate of $3\mathrm{.}5\%.$ The bond has face value of $$1,000$ and makes semiannual interest payments. If you require an $12\mathrm{.}0\%$ nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?

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

b$.466\mathrm{.}61$

c$.583\mathrm{.}26$

d$.699\mathrm{.}91$