Problem
A 30-year maturity bond making annual coupon payments with a coupon rate of 10.5% has duration of 14.23 years and convexity of 282.47. The bond currently sells at a yield to maturity of 5%.
1) Find the price of the bond if its yield to maturity falls to 4%.
2) What price would be predicted by the duration rule?
3) What price would be predicted by the duration-with-convexity rule?
4) What is the percent error for each rule?
5) What do you conclude about the accuracy of the two rules?
6) Find the price of the bond if its yield to maturity increases to 6%.
7) What price would be predicted by the duration rule?
8) What price would be predicted by the duration-with-convexity rule?
9) What is the percent error for each rule?
10) Are your conclusions about the accuracy of the two rules consistent with parts (1) - (4)?