Consider the following two bonds: A 10-year zero-coupon bond with Macaulay durat
ID: 2768898 • Letter: C
Question
Consider the following two bonds:
A 10-year zero-coupon bond with Macaulay duration 10 and yield to maturity 4%
A 5-year, 8% coupon bond with Macaulay duration 4.3 and yield to maturity 7%
1. Find the modified duration of each bond.
2. If market interest rates rise by 0.75%, find the percent change in the price of each bond. Express your answers as percentages rounded to two decimal places.
3. Underline the correct word in each set of parentheses: If you think that market interest rates are going to rise, you should purchase (short-term/long-term) bonds with (small/large) coupon rates.
Explanation / Answer
A B
Yield To Maturity Yield To Maturity
= 10 / 4 % = 4.3 / 7
= 2.5 = .6142
A B
-2.5 * .75 % - .6142* .75 %
= - 1.87 = - .46