Bond A: 10% (annual) coupon rate with semiannual payments, 5 years to maturity Bond B: 4% (annual)
Question:
Bond A: 10% (annual) coupon rate with semiannual payments, 5 years to maturity
Bond B: 4% (annual) coupon rate with semiannual payments, 20 years to maturity
Exhibit 1: Bond Price vs. Yield to Maturity for the Two Bonds
(the initial yield for both bonds is 5%; both bonds are semiannual and option-free)
Bond Price | ||
New Yield: | Bond A | Bond B |
3.00% | 132.277646 | 114.957923 |
3.40% | 130.113251 | 108.655516 |
3.80% | 127.992271 | 102.784144 |
4.20% | 125.913728 | 97.311820 |
4.60% | 123.876668 | 92.209046 |
4.80% | 122.873402 | 89.787653 |
5.00% | 121.880160 | 87.448612 |
5.20% | 120.896829 | 85.188850 |
5.40% | 119.923297 | 83.005412 |
5.80% | 118.005193 | 78.856274 |
6.20% | 116.124986 | 74.979807 |
6.60% | 114.281831 | 71.356261 |
7.00% | 112.474908 | 67.967391 |
Using a 20 bp rate shock, what is the approximate convexity of each bond? Using the duration model with convexity adjustment, what is the predicted percentage price change of each bond if yields rise by 200 bp, to 7%? With the convexity adjustment added in, does the duration model predict equally well for both bonds?
Corporate Finance
ISBN: 9781265533199
13th International Edition
Authors: Stephen Ross, Randolph Westerfield, Jeffrey Jaffe