A $$1,000$ bond with a coupon rate of $5\mathrm{.}7\%$ paid semiannually has five years to maturity and a yield to maturity of $7\%.$ If interest rates rise and the yield to maturity increases to $7\mathrm{.}3\%,$ what will happen to the price of the bond?

A$.$ fall by $$14\mathrm{.}37$

B$.$ rise by $$11\mathrm{.}97$

C$.$ fall by $$11\mathrm{.}97$

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