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The bellow descriptive statistics took from XYZ. Inc. and ABC.Inc. it is a stock

ID: 2775837 • Letter: T

Question

The bellow descriptive statistics took from XYZ. Inc. and ABC.Inc. it is a stock market index used as proxy for the market portfolio, in the sense of the CAPM.

a. Calculate the correlation coefficient between the two securities.

b. Calculate the beta of XYZ.Inc

Variance of ABC.Inc

0.002283

Variance of XYZ

0.033859

Standard deviation of ABC.Inc

0.047781

Standard deviation of XYZ

0.184008

Covariance

0.002643

Variance of ABC.Inc

0.002283

Variance of XYZ

0.033859

Standard deviation of ABC.Inc

0.047781

Standard deviation of XYZ

0.184008

Covariance

0.002643

Explanation / Answer

Computation of correlation coefficient between two securities

Correlation coefficient = 0.002643 (0.047781*0.184008) / 0.002283 * 0.033859

=0.300613.

Computation of beta of XYZ . Inc

beta = covariance of market return / variance of market return

= 0.002643 / 0.033859

= 0.078059.

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