A $$1,000$ bond with a coupon rate of $5\mathrm{.}7\%$ paid semiannually has ten years to maturity and a yield to maturity of $8\%.$ If interest rates rise and the yield to maturity increases to $8\mathrm{.}3\%,$ what will happen to the price of the bond?

A$.$ The price of the bond will fall by $$28\mathrm{.}77.$

B$.$ The price of the bond will fall by $$23\mathrm{.}97.$

C$.$ The price of the bond will rise by $$23\mathrm{.}97.$

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