A $20-$year, $$1,000$ par value bond has a $6\mathrm{.}5\%$ annual payment coupon. The bond currently sells for $$926\mathrm{.}98.$ If the yield to maturity remains at its current rate, what will the price be $3$ years from now?

a$.$ $ $872\mathrm{.}29$

b$.$ $ $932\mathrm{.}59$

c$.$ $ $950\mathrm{.}00$

d$.$ $ $981\mathrm{.}70$

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