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Consider three stocks A, B and C costing $100 each. The annual returns on the three stocks have mean $5 and variance $10.
a. Suppose that the returns on the three stocks are i.i.d. Find the means and variance of the returns on Portfolio I, consisting of 3 units of A, and Portfolio II, consisting of 1 units each of A, B and C?
b. Suppose the returns from A and B have a correlation coefficient of -0.8 but they are uncorrelated with returns from C. Find the means and variances of the returns on the two portfolios.
c. Suppose the returns from A, B, and C are perfectly correlated (each pair have a correlation =1). Find the means and variances of the returns on the two portfolios. Is there any benefit to diversification in this case?
Construct index numbers of price for the following data by applying: i) Laspeyre’s method ii) Paasche’s method iii) Fisher’s Ideal Index number
(a) Average rainfall during the month of January is found to be 58 mm. A Class A pan evaporation recorded an average of 8.12 mm/day near an irrigation reservoir. The average
Show how the Normal bin width rule can be modied if f is skewed or kurtotic. Examine the effect of bimodality. Compare your rules to Doane's (1976) extensions of Sturges' rule.
A medical researcher has 100 bone cancer patients in a study. Every patient's condition is one of six types, type \A" to type \F". The 100 patients split as follows: x There
Choose any published database from the internet or Bethel library (such as those from the Census Bureau or any financial sites). You may opt to use one of the data files provided b
The State Department of Taxation wishes to investigate the effect of experience, x, on the amount of time, y, required to fill out Form ST 1040AVG, the state income-averaging form.
calcation
the sum of mean and variance ofabinomia distribution of 5 trials is 9/5, find the binomial distribution.
The Case Study included information about the price for a full meal before and after the law change (in dollars). Of interest is whether the differences in price for a full meal b
Median Median is a position average. It is the value of middle item of a variable when the items are arranged according to their values either in ascending or descending order.
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