Suppose the total risk of Portfolios A, B and C are 49%, 64% and 100% respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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Chapter8: Analysis Of Risk And Return
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Suppose the total risk of Portfolios A, B and C are 49% ², 64%² and 100% ² respectively. The market
price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and
100% respectively.
(a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio
B. Compute the standard deviation of Portfolio H if the correlation coefficient between
Portfolio A and Portfolio B is:
i) perfectly positively correlated
ii) uncorrelated
iii) perfectly negatively correlated
(b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what
is the beta of Portfolio C? State the answer in %².
(c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market
Portfolio? Why or Why not?
Transcribed Image Text:Suppose the total risk of Portfolios A, B and C are 49% ², 64%² and 100% ² respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?
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