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Suppose a stock's return has annual mean and variance and 2. TO estimate these quantities, we divide 1 year into n equal periods and variance
Suppose a stock's return has annual mean and variance and 2. TO estimate these quantities, we divide 1 year into n equal periods and variance for the return of each period. Further, assume that - and -2. Let and a be the estimates ofHm and . (a) What would be the estimates of and 2 based on and (b) Let (A) and (82) denote the standard deviations of the esti- mates obtained in part (a). Show that () is independent of n. (c) Assume that the returns are normally distributed, show that o(*) depends on n (d) Would more data be helpful in this situation? Suppose a stock's return has annual mean and variance and 2. TO estimate these quantities, we divide 1 year into n equal periods and variance for the return of each period. Further, assume that - and -2. Let and a be the estimates ofHm and . (a) What would be the estimates of and 2 based on and (b) Let (A) and (82) denote the standard deviations of the esti- mates obtained in part (a). Show that () is independent of n. (c) Assume that the returns are normally distributed, show that o(*) depends on n (d) Would more data be helpful in this situation
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