Question

3.It is possible to compute means, variances, betas, and so forth using historical data as shown...

3.It is possible to compute means, variances, betas, and so forth using historical data as shown in “Window 12.2: Calculating Beta”. For our purposes, the procedure is identical to the case of various economic states where each economic state is equally likely. Consider the following history of returns:

Year

Homer Company

Large Company Stocks

1

34.09%

40.16%

2

1.00%

2.03%

3

17.05%

12.41%

4

73.15%

27.26%

5

20.40%

-6.56%

6

51.84%

26.31%

7

30.50%

4.46%

8

2.22%

7.06%

9

11.43%

-1.54%

10

40.16%

34.11%

  1. Compute the mean of each return series (Hint: Treat each outcome as having the same probability of recurring—in this case 10%).
  2. Compute the beta of Homer Company (Hint: First compute the covariance between them and the variance of the market).

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