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4. Suppose we have a risky asset with random return R. We have defined R to be, Si - So R= So N Now we

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4. Suppose we have a risky asset with random return R. We have defined R to be, Si - So R= So N Now we introduce the log-return, which is defined as R = In (). In this question, assume that R N(a, g). (i) Show that R=R-1. (ii) Calculate VaRo.95 for an investment of 150. Remember that if X N(4,0) then ex is lognormally distributed with parameters fi and o?. You may use that for a standard normal random variable 0-(0.05) = -1.6449, where o denotes the CDF. 4. Suppose we have a risky asset with random return R. We have defined R to be, Si - So R= So N Now we introduce the log-return, which is defined as R = In (). In this question, assume that R N(a, g). (i) Show that R=R-1. (ii) Calculate VaRo.95 for an investment of 150. Remember that if X N(4,0) then ex is lognormally distributed with parameters fi and o?. You may use that for a standard normal random variable 0-(0.05) = -1.6449, where o denotes the CDF

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