You are considering purchasing one of two different bonds each with an 9-year maturity. Both bonds make semi-annual coupon payments. Bond A has an annual coupon rate of 4% and Bond B has an annual coupon rate of 6%. Both bonds have a yield to maturity of 5%. a) Which bond has a duration closest to 7 ? b) Using Bond A s duration, approximate the change in price that would occur if the yield increased by 0.5%. c) Holding all else constant (i.e., 9-year maturity, semi-annual payments, and 5% YTM), what coupon rate would give an exact duration match of 7 ? (hint: use goal seek or solver)