A $$5,000$ bork with a coupon rate of $6\%$ paid semiannually has ten years to mahurty and a yeld to maturty of $8\mathrm{.}5\%.$ If inferest rates rise and the yield to maturity increases is $8\mathrm{.}85,$ what will happen to the price of the bond?

A$.$ fall by $$87\mathrm{.}60$

B$.$ rise by $587\mathrm{.}60$

C$.$ fall by $$105\mathrm{.}12$

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