In: Finance
Assume the term structure of interest rates is flat and the market interest rate is r = 10% per year, annually compounded.
(a) What are the Macaulay duration and modified duration of an annual coupon bond with a coupon rate of 5%/year, and a maturity of 10 years?
b) What is the Macaulay duration of a perpetuity that pays $10/year?
a.
So,
Macaulay Duration = 7.66 years
Modified Duration = 7.66/1.10 = 6.96 years
B.
Macaulay Duration of Perpetuity = (1 + 0.10)/0.10
Macaulay Duration = 11