Consider a $20-$year zero$-$coupon bond with a face value of $$1,000.$ The yield to maturity for the bond is $8\%.$ Calculate the price of the bond, and how it would change if interest rates on the financial markets decreased.

A$.$ The current price is $$201\mathrm{.}65$ and it would increase following the expected change in interest rates.

B$.$ The current price is $$201\mathrm{.}65$ and it would decrease following the expected change in interest rates.

C$.$ The current price is $$214\mathrm{.}55$ and it would increase following the expected change in interest rates.

D$.$ The current price is $$214\mathrm{.}55$ and it would decrease following the expected change in interest rates.