A $55,000$ bond with a coupon rate of $6\%$ paid semiannualy has ten years to maturly and a yield to maturity of $8\mathrm{.}5\%.$ If interest rates rise and the yield to maturty increases to $8\mathrm{.}85,$ what will happen to the price of the bond?

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

$8.$ rise by $507\mathrm{.}60$

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

D$.$ The price of the bond will net change.