A $ $1,000$ bond with a coupon rate of $6\mathrm{.}6\%$ paid semiannually has eight years to maturity and a yield to maturity of $6\%.$ If interest rates fall and the yield to maturity decreases by$0\mathrm{.}8\%,$ what will happen to the price of the$$ bond? A$.$

rise by $ $74\mathrm{.}19$

B$.$

fall by $ $52\mathrm{.}99$

C$.$

rise by $ $52\mathrm{.}99$

D$.$

fall by $ $63\mathrm{.}59$