Answered: A pension fund must pay out $1 million…

A pension fund must pay out $1 million next year, $2 million the following year, and then $3 million the year after that. If the discount rate is 8%, what is the duration of this set of payments?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 17P

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Question

15)
a) A pension fund must pay out $1 million next year, $2 million the following year, and then $3 million the year after that. If the discount rate is 8%, what is the duration of this set of payments?
b) You own a bond that has a duration of 6 years. Interest rates are currently 7%, but you believe the Fed is about to increase interest rates by 25 basis points. Your predicted price change on this bond is ________.

c) You have a 25-year maturity, 10% coupon, 10% yield bond with a duration of 10 years and a convexity of 135.5. If the interest rate were to fall 125 basis points, your predicted new price for the bond (including convexity) is ________.

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