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Duration and Convexity Your research department reports continuously compounded interest rates as Maturity (Years) ---Interest Rate (%) 0.5---1.00 1.0---1.50 1.5---2.00 2.0---2.00 (c) Suppose that the
Duration and Convexity
Your research department reports continuously compounded interest rates as
Maturity (Years) ---Interest Rate (%)
0.5---1.00
1.0---1.50
1.5---2.00
2.0---2.00
(c) Suppose that the monthly changes in the interest rates have a mean of zero and a standard deviation of 0.5%. Obtain the monthly 95% Value at Risk and Expected Shortfall on the coupon bond.
(d) Construct a hedge portfolio of 1 coupon bond and k one-year zero coupon bonds that has zero duration. What is the value of k? What is the convexity of the hedge portfolio?
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