3. Consider three stocks A, B and C and a market index M with the following prices: Year то T1 T2 110 13 T3 125 15 75 1786 108 85 12 50 A B 14 C 60 70 1435 1578 1128 The risk-free rate equals 4%. M a. Compute the expected return and risk on each stock and the market index. b. Construct the matrix of variances and covariances between these assets. c. Construct the matrix of the correlation coefficients.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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Chapter8: Analysis Of Risk And Return
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3. Consider three stocks A, B and C and a market index M with the following prices:
Year
TO
T1
T2
T3
A
85
108
110
125
B
12
14
13
15
C
50
60
70
75
M
1128
1435
1578
1786
The risk-free rate equals 4%.
a. Compute the expected return and risk on each stock and the market index.
b. Construct the matrix of variances and covariances between these assets.
c. Construct the matrix of the correlation coefficients.
d. Compute the beta coefficients of these companies and the expected return at equilibrium.
e. Construct the minimum risk portfolio P1 composed of A and C. Compute the expected return
and risk on this portfolio.
f. Construct a portfolio P2 composed of A, B and C in proportions of 20%, 30% and 50%.
Compute the expected return and risk on this portfolio. What is the contribution of each security
to the return and risk pf this portfolio?
g. Construct an equally weighted portfolio P3 composed of A, B, C and the risk-free rate.
Compute the beta coefficient and position this portfolio with respect to the SML. Compute the
HPR expected by an investor who holds this portfolio.
Transcribed Image Text:3. Consider three stocks A, B and C and a market index M with the following prices: Year TO T1 T2 T3 A 85 108 110 125 B 12 14 13 15 C 50 60 70 75 M 1128 1435 1578 1786 The risk-free rate equals 4%. a. Compute the expected return and risk on each stock and the market index. b. Construct the matrix of variances and covariances between these assets. c. Construct the matrix of the correlation coefficients. d. Compute the beta coefficients of these companies and the expected return at equilibrium. e. Construct the minimum risk portfolio P1 composed of A and C. Compute the expected return and risk on this portfolio. f. Construct a portfolio P2 composed of A, B and C in proportions of 20%, 30% and 50%. Compute the expected return and risk on this portfolio. What is the contribution of each security to the return and risk pf this portfolio? g. Construct an equally weighted portfolio P3 composed of A, B, C and the risk-free rate. Compute the beta coefficient and position this portfolio with respect to the SML. Compute the HPR expected by an investor who holds this portfolio.
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