A $$5,000$ bond with a coupon rate of $6\mathrm{.}1\%$ paid semiannually has five years to maturity and a yield to maturity of $7\mathrm{.}1\%.$ If interest rates rise and the yield to maturity increases to $7\mathrm{.}4\%,$ what will happen to the price of the bond?

A$.$ rise by $$60\mathrm{.}19$

B$.$ fall by $$72\mathrm{.}23$

C$.$ fall by $$60\mathrm{.}19$

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