A $5000 bond with 4 years to maturity has a coupon rate of 6.4% paid semi-annually and a yield to maturity of 6.2% (APR with semi-annual compounding). If interest rates fall and the yield to maturity is now 5.4%, what will happen to the price of the bond?

A) fall by $98.64

B) fall by $40.49

C) rise by $84.46

D) rise by $142.78

E) The price of the bond will not change.