A $5,000 bond with a coupon rate of 6.5% paid semiannually has eight years to maturity and a yield to maturity of 7.8% . If interest rates rise and the yield to maturity increases to 8.1% , what will happen to the price of the bond?

a. fall by $82.87

b. rise by $82.87

c. fall by $99.44

d. The price of the bond will not change