You are given the following information about a bond: Face value $1,000 Coupon rate 5% annual Redemption Value $1,200 Tenor 4 years This bond is purchased to yield an annual effective rate of 3%. (i) Calculate the Macaulay Duration of the bond. (ii) Calculate the Modified Duration of the bond. (iii) Calculate the Convexity of the bond.

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter12: Investing In Stocks And Bonds
Section: Chapter Questions
Problem 6FPE
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You are given the following information about a bond:
Face value
$1,000
Coupon rate
5% annual
Redemption Value
$1,200
Tenor
4 years
This bond is purchased to yield an annual effective rate of 3%.
(i)
Calculate the Macaulay Duration of the bond.
(ii)
Calculate the Modified Duration of the bond.
(iii) Calculate the Convexity of the bond.
(iv) Calculate the forward price for the bond for a contract with expiration in 2 years,
immediately after a coupon payment.
Transcribed Image Text:You are given the following information about a bond: Face value $1,000 Coupon rate 5% annual Redemption Value $1,200 Tenor 4 years This bond is purchased to yield an annual effective rate of 3%. (i) Calculate the Macaulay Duration of the bond. (ii) Calculate the Modified Duration of the bond. (iii) Calculate the Convexity of the bond. (iv) Calculate the forward price for the bond for a contract with expiration in 2 years, immediately after a coupon payment.
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