1. Two bonds are available for purchase in the financial markets. The first bond is a two-year, $11,000 bond that pays an annual coupon of 10 %. The second bond is a two-year, $11,000, zero-coupon bond. (a) What is the duration of the coupon bond if the current yield-to-maturity (R) is 8 %? 10 %?12 %? Coupon bond: Par value = $11,000 Coupon rate = 10% Annual payments (b) How does the change in the current yield to maturity affect the duration of this coupon bond? (c) Calculate the duration of the zero-coupon bond with a yield to maturity of 8 %, 10 % and 12%.

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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1. Two bonds are available for purchase in the financial markets. The first bond is a two-year, $11,000 bond that pays an annual coupon of 10 %. The second bond is a two-year, $11,000, zero-coupon bond.


(a) What is the duration of the coupon bond if the current yield-to-maturity (R) is 8 %? 10 %?12 %?
Coupon bond: Par value = $11,000 Coupon rate = 10% Annual payments


(b) How does the change in the current yield to maturity affect the duration of this coupon bond?


(c) Calculate the duration of the zero-coupon bond with a yield to maturity of 8 %, 10 % and 12%.


(d) How does the change in the yield to maturity affect the duration of the zero-coupon bond?


(e) Why does the change in the yield to maturity affect the coupon bond differently to the way it affects the zero-coupon bond?

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