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3. Let I; be the annual yield on an insurance eonlpanys fund for the t' year. The yields in different years are independent. Suppose that

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3. Let I; be the annual yield on an insurance eonlpanys fund for the t\"' year. The yields in different years are independent. Suppose that random variables (1 + I 1) are lognormally distributed with parameters ,u and 02. You are given that the mean and the variance of I; are 0.10 and 0.02. (a) Find the values of p and o. (b) The probability that the accumulation of an investment of $10,000 for 5 years will be greater than its expected value' (c) Find the expected value of 575', where .5ng is the meninulated value at time 5 of a 5-year annuity-due with 1 payable at the beginning of each year

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