21. Consider the following two bonds which make semiannual coupon payments: a 20-

year bond with a 6% coupon and 20% yield, and a 30-year bond with a 6% coupon and a 20% yield.

a. For each bond, compute the price value of a basis point.

b. For each bond, compute Macaulay duration.

c. “For otherwise identical bonds, Macaulay duration is increasing in time to maturity.” Is this statement always true? Discuss.