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average return, variance, standard deviation and beta

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Data:

period company return market index return
1 9 10
2 10 11
3 11 11
4 12 12

Find for the company and the market index (show the calculations):
a. average return
b. variance
c. standard deviation
d. beta
e. the intercept and the slope of the characteristic line.

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Solution Summary

Given data, finding the average return, variance, standard deviation and beta.

Solution Preview

The average return is found by summing the values and dividing by the number of values, N.
company return: 42/4 =10.5
market index return: 44/4 = 11

The variance is found by taking the the sum of the squares of the differences between the mean and each value and dividing by N-1.

The variance for the company's returns is therefore:
(9-10.5)^2+ (10-10.5)^2+(11-10.5)^2+(12-10.5)^2 / ...

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