There are two issued bonds. Bond A is a zero-coupon bond with a maturity of 3 years, the yield to maturity is 3%, and a face value of 1100. Bond B is a coupon-paying bond with a maturity of 2 years, a face value of $1200, and a yield to maturity of 4%. The coupon rate of this bond is 6%. The prices of both bonds are not provided. Consider the following two statements: 1. The zero-coupon bond has a higher duration than the coupon-paying bond II. When the risk-free interest rate increases and therefore the discount rates increase, the price of Bond B will decrease. Select one: a. Only statement I is correct b. Only statement II is correct c. Both statements are correct d. Both statements are incorrect