$$5\mathrm{.}000$ bond with a coupon rate of $6\%$ poid semiannually has five years to maturity and a yield to maturity of $7\mathrm{.}4\%.$ If interest rates rise and fee yeid to matrity increases to $7\mathrm{.}7\%,$ what will happen the price of the bond?

A$.$ fall by $$70\mathrm{.}86$

B$.$ fall by $$50\mathrm{.}13$

C$.$ rise by $$59\mathrm{.}13$

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