A $25-$year, $$1,000$ par value bond has a $9\mathrm{.}0\%$ annual payment coupon. The bond currently sells for $$905.$ If the yield to maturity remains at its current rate, what will the price be $4$ years from now?

Do not round your intermediate calculations.

a$.$ $$828\mathrm{.}62$

b$.$ $$987\mathrm{.}41$

C$.$ $$897\mathrm{.}33$

d$.$ $$909\mathrm{.}45$

e$.$ $$966\mathrm{.}73$