A company has a long position in a 2-year bond and a 3-year bond, as well as a short

Chapter 22, Problem 22.19

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A company has a long position in a 2-year bond and a 3-year bond, as well as a short position in a 5-year bond. Each bond has a principal of $100 and pays a 5% coupon annually. Calculate the companys exposure to the 1-year, 2-year, 3-year, 4-year, and 5-year rates. Use the data in Tables 22.7 and 22.8 to calculate a 20-day 95% VaR on the assumption that rate changes are explained by (a) one factor, (b) two factors, and (c) three factors. Assume that the zero-coupon yield curve is flat at 5%.

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