A 30-year maturity bond making annual coupon payments with a coupon rate of 12% has duration of 11.54 years and convexity of 192.4. The bond currently sells at a yield to maturity of 8%. a. Use a financial calculator or spreadsheet to find the price of the bond if its yield to maturity falls to 7%. b. What price would be predicted by the duration rule? c. What price would be predicted by the duration-with-convexity rule? d. What is the percent error for each rule? What do you conclude about the accuracy of the two rules? e. Repeat your analysis if the bonds yield to maturity increases to 9%. Are your conclusions about the accuracy of the two rules consistent with parts (a)(d)?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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A 30-year maturity bond making annual coupon payments with a coupon rate of 12% has
duration of 11.54 years and convexity of 192.4. The bond currently sells at a yield to maturity of
8%. a. Use a financial calculator or spreadsheet to find the price of the bond if its yield to
maturity falls to 7%. b. What price would be predicted by the duration rule? c. What price
would be predicted by the duration-with-convexity rule? d. What is the percent error for each
rule? What do you conclude about the accuracy of the two rules? e. Repeat your analysis if the
bonds yield to maturity increases to 9%. Are your conclusions about the accuracy of the two
rules consistent with parts (a)(d)?
Transcribed Image Text:A 30-year maturity bond making annual coupon payments with a coupon rate of 12% has duration of 11.54 years and convexity of 192.4. The bond currently sells at a yield to maturity of 8%. a. Use a financial calculator or spreadsheet to find the price of the bond if its yield to maturity falls to 7%. b. What price would be predicted by the duration rule? c. What price would be predicted by the duration-with-convexity rule? d. What is the percent error for each rule? What do you conclude about the accuracy of the two rules? e. Repeat your analysis if the bonds yield to maturity increases to 9%. Are your conclusions about the accuracy of the two rules consistent with parts (a)(d)?
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