Company XYZ has a liability of $100 million due in 5 years. The company’s only asset is $70 million held in cash. Throughout this question, assume the term structure of interest rates is flat at 10%. Two bonds, A and B, are currently trading in the market. Bond A is a 3-year coupon bond with a face value of $100, selling for $93.783; coupons are paid annually. Bond B is a perpetuity with an initial cash flow of $5 in one year’s time, with cash flows growing thereafter at 2% per year. a). Calculate Bond A’s Macaulay Duration. Without recalculating the bond price, estimate the percentage change in the price of Bond A if the entire term structure were to immediately shift upwards by 100 basis points (1 basis point is one hundredth of 1 percent, i.e. 0.01%).

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Company XYZ has a liability of $100 million due in 5 years. The company’s only asset is $70 million held in cash. Throughout this question, assume the term structure of interest rates is flat at 10%.

Two bonds, A and B, are currently trading in the market. Bond A is a 3-year coupon bond with a face value of $100, selling for $93.783; coupons are paid annually. Bond B is a perpetuity with an initial cash flow of $5 in one year’s time, with cash flows growing thereafter at 2% per year.

a). Calculate Bond A’s Macaulay Duration. Without recalculating the bond price, estimate the percentage change in the price of Bond A if the entire term structure were to immediately shift upwards by 100 basis points (1 basis point is one hundredth of 1 percent, i.e. 0.01%).

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