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4, (10 points) Suppose a financial institution holds a long position of $600 in 1-period Treasuries and a short position of $800 in 10-period Lockheed

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4, (10 points) Suppose a financial institution holds a long position of $600 in 1-period Treasuries and a short position of $800 in 10-period Lockheed bond. The modified duration of 1-period Treasuries is 0.9 periods and the modified duration of Lockheed bond is 6 periods. Assume there are two risk factors: a short rate (for the 1-period Treasuries) and a long rate (for the Lockheed bond). The change in the short rate has a daily standard deviation of 20 basis points; the change in the long rate has a standard deviation of 10 basis points. The correlation between the daily changes in the two rates equals 0.9 . A) Compute the 99%,1-day value-at-risk for this financial institution under these assumptionsi based on delta normal. B) Assume daily changes in interest rate are both normally distributed and independently and identically distributed (i.i.d.). What is 99% 1-year VAR? (Assume that there are 250 trading days in a year)

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