John Davidson is an investment adviser at Leeds Asset Management plc. He is asked by a client to evaluate various investment opportunities currently available and he has calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets: Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5%   (a) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%.  (b) If you are only willing to make an investment with a standard deviation of 7.0%, is it possible for you to earn a return of 7.0%?  (c) What is the minimum level of risk that would be necessary for an investment to earn 7.0%? What is the composition of the portfolio along the Capital Market Line (CML) that will generate that expected return?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter2: Fundamental Economic Concepts
Section: Chapter Questions
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John Davidson is an investment adviser at Leeds Asset Management plc. He is asked by a client to evaluate various investment opportunities currently available and he has calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets:

Portfolio

Expected return

Standard deviation

Q

7.8%

10.5%

R

10.0%

14.0%

S

4.6%

5.0%

T

11.7%

18.5%

U

6.2%

7.5%

 

(a) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%. 

(b) If you are only willing to make an investment with a standard deviation of 7.0%, is it possible for you to earn a return of 7.0%? 

(c) What is the minimum level of risk that would be necessary for an investment to earn 7.0%? What is the composition of the portfolio along the Capital Market Line (CML) that will generate that expected return?  

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