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Assume that the Single Index Model holds in practice. Monthly excess returns R i = r i - r f are presented below for each

Assume that the Single Index Model holds in practice.

Monthly excess returns Ri=ri-rf are presented below for each of three stocks and the S&P 500 index for a 6-month period.

You are also given means (ERi), variances (VarRi), and covariances between the stock and the market COVRi,RM.

The risk free rate of interest, rf, is 0.5%

MONTH BRK(A) DOV(B) WMT(C) S&P500
1 -0.1676 -0.0800 -0.0327 0.896
2 0.1064 -0.0033 -0.0389 -0.0933
3 -0.0729 -0.0577 -0.0055 0.0375
4 -0.1154 -0.624 -0.0897 0.1014
5 0.0627 0.0175 0.0617 -0.0839
6 -0.0350 -0.0094 -0.0108 0.053
Mean -0.0370 -0.0325 -0.0193 0.0128
Variance 0.010997 0.001535 0.002470

0.007024

Covariance -0.008537 -0.002914 -0.002515

0.007024

Residuals For assets

Observation Residuals^2 (asset a) Residuals^2 (asset b) Residuals^2 (asset c)
1 0.0013870743 0.00024316 0.0002012
2 0.0002099016 0.00021633 0.00331297
3 0.0000340277 0.00022093 0.00051408
4 0.0008584033 0.00004805 0.00149587
5 0.0003201010 0.00009874 0.00215358
6 0.0002952085 0.00080073 0.00016823

Compute the alpaha, beta, standard error, expected value of excess returns, treynor ratio, and optimal C*

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