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.

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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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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