A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a wation of 13.50 vears. The bond currently sells at a yield to maturity of 5.75%. Ducation a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price? b. Assume that you need to make a quick approximation using the duration rule. What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%? C. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?

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
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A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a
ation of 13.50 years. The bond currently sells at a yield to maturity of 5.75%.
Ducation
a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price?
b. Assume that you need to make a quick approximation using the duration rule.
What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%?
c. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?
Transcribed Image Text:A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a ation of 13.50 years. The bond currently sells at a yield to maturity of 5.75%. Ducation a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price? b. Assume that you need to make a quick approximation using the duration rule. What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%? c. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?
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