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

A$.$ fall by $$27\mathrm{.}13$

B$.$ rise by $$27\mathrm{.}13$

C$.$ fall by $$32\mathrm{.}55$

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