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 company's exposure to the 1-year, 2-year, 3-year, 4-year, and 5-year rates. Use the data in Tables 4.8 and 4.9 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%.