A $25-$year, $$1,000$ par value bond has an $8\mathrm{.}5\%$ annual payment coupon. The bond currently sells for $$925.$ If the yield to maturity remains at its current rate, what will the price be $6$ years from now? Do not round your intermediate calculations.

a$.$ $$859\mathrm{.}14$

b$.$ $$1,000\mathrm{.}69$

c$.$ $$918\mathrm{.}74$

d$.$ $$931\mathrm{.}43$

e$.$ $$965\mathrm{.}26$