You have purchased a bond for $973.02. The bond has a coupon rate of 6.4%, pays interest annually, has a face value of $1,000, 4 years to maturity, and a yield to maturity of 7.2%. You expect that interest rates will fall by .3% later today. a) Calculate the bond’s macauly duration b) Use the modified duration to find the approximate percentage change in the bond's price. Find the new price of the bond from this calculation. c) Suggest how the estimate in part (b) can be improved.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 13P
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You have purchased a bond for $973.02. The bond has a coupon rate of 6.4%, pays interest annually, has a face value of $1,000, 4 years to maturity, and a yield to maturity of 7.2%. You expect that interest rates will fall by .3% later today.

a) Calculate the bond’s macauly duration 

b) Use the modified duration to find the approximate percentage change in the bond's price. Find the new price of the bond from this calculation. 

c) Suggest how the estimate in part (b) can be improved. 

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