A $$5,000$ bond with a coupon rate of $6\mathrm{.}8\%$ paid semiannually has ten years to maturity and a yield to maturity of $8\mathrm{.}9\%.$ If interest rates rise and the yield to maturity increases to $9\mathrm{.}2\%,$ what will happen to the price of the bond?

A$.$ rise by $$87\mathrm{.}87$

e$.$ fell by $$405\mathrm{.}45$

C$.$ fall by $$87\mathrm{.}87$

n The nrice of the bond will not change.