Calculate modified duration using the information provided.

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
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The Helda Corporation has issued bonds that pay semiannually with the following
characteristics:
Macaulay Duration
10yrs
Yield to Maturity
Maturity
15yrs
Coupon
8%
8%
a) Calculate modified duration using the information provided.
b) Explain why modified duration is a better measure than maturity when calculating the
bond's sensitivity to changes in interest rates.
c) Identify the direction of change in modified duration if:
) the coupon of the bond were 4 percent, not 8 percent.
ii) the maturity of the bond were 7 years, not 15
years.
d) Define convexity and explain how modified duration and convexity are used to approximate
the bond's percentage change in price, given a large change in interest rates
Transcribed Image Text:The Helda Corporation has issued bonds that pay semiannually with the following characteristics: Macaulay Duration 10yrs Yield to Maturity Maturity 15yrs Coupon 8% 8% a) Calculate modified duration using the information provided. b) Explain why modified duration is a better measure than maturity when calculating the bond's sensitivity to changes in interest rates. c) Identify the direction of change in modified duration if: ) the coupon of the bond were 4 percent, not 8 percent. ii) the maturity of the bond were 7 years, not 15 years. d) Define convexity and explain how modified duration and convexity are used to approximate the bond's percentage change in price, given a large change in interest rates
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