A $$5,000$ bond with a coupon rate of $7\%$ paid semiannually has two years to maturity and a yield to maturity of $8\mathrm{.}9\%.$ If interest rates rise and the yield to maturity increases to $9\mathrm{.}2\%,$ what will happen to the price of the bond?

A$.$ The price of the bond will fall by $$20\mathrm{.}97.$

B$.$ The price of the bond will rise by $$17\mathrm{.}48.$

C$.$ The price of the bond will fall by $$17\mathrm{.}48.$

D$.$ The price of the bond will not change.