An investor estimates the expected returns of the following three shares as follows (for three alternative scenarios concerning the country's likely economic situation in the near future): Scenarios Recession Stabilization Development Probability of scenario occurrence 20% 60% 20% A) For shares A, B and C find: i) the expected yield, ii) the risk (standard deviation), and iii) the coefficient of variability. Expected performance share A 4% 6% 8% Expected performance share B 10% 6% 2% Expected performance share C 3% 6% 9% Which stock would you choose according to the criterion of the coefficient of volatility? B) The same investor decides to invest, the following amounts, only in one of the following two portfolios: Portfolio P: EUR 30,000 in share A and EUR 70,000 in share B Portfolio P: EUR 30,000 in share C and EUR 70,000 in share B (i) Calculate the expected return and risk (standard deviation) for each of the two portfolios. The co-fluctuation of the returns of shares A and B (Portfolio П) is -0.00032 and the corresponding of the returns of shares C and B (Portfolio P) is -0,00048. (ii) Comment on the expected return and risk (standard deviation) of shares A, i) above or below the Securities Market Line. 1

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An investor estimates the expected returns of the following three shares as
follows (for three alternative scenarios concerning the country's likely economic
situation in the near future):
Scenarios
Recession
Stabilization
Development
Probability
of scenario
occurrence
20%
60%
20%
A) For shares A, B and C find:
i) the expected yield,
ii) the risk (standard deviation), and
iii) the coefficient of variability.
Expected
performance
share A
4%
6%
8%
Expected
performance
share B
10%
6%
2%
Expected
performance
share C
3%
6%
9%
Which stock would you choose according to the criterion of the coefficient of
volatility?
B) The same investor decides to invest, the following amounts, only in one of
the following two portfolios:
Portfolio P: EUR 30,000 in share A and EUR 70,000 in share B Portfolio P:
EUR 30,000 in share C and EUR 70,000 in share B
(i) Calculate the expected return and risk (standard deviation) for each of the
two portfolios. The co-fluctuation of the returns of shares A and B (Portfolio
П) is -0.00032 and the corresponding of the returns of shares C and B
(Portfolio P) is
-0,00048.
(ii) Comment on the expected return and risk (standard deviation) of shares A,
i) above or below the Securities Market Line.
1
Transcribed Image Text:An investor estimates the expected returns of the following three shares as follows (for three alternative scenarios concerning the country's likely economic situation in the near future): Scenarios Recession Stabilization Development Probability of scenario occurrence 20% 60% 20% A) For shares A, B and C find: i) the expected yield, ii) the risk (standard deviation), and iii) the coefficient of variability. Expected performance share A 4% 6% 8% Expected performance share B 10% 6% 2% Expected performance share C 3% 6% 9% Which stock would you choose according to the criterion of the coefficient of volatility? B) The same investor decides to invest, the following amounts, only in one of the following two portfolios: Portfolio P: EUR 30,000 in share A and EUR 70,000 in share B Portfolio P: EUR 30,000 in share C and EUR 70,000 in share B (i) Calculate the expected return and risk (standard deviation) for each of the two portfolios. The co-fluctuation of the returns of shares A and B (Portfolio П) is -0.00032 and the corresponding of the returns of shares C and B (Portfolio P) is -0,00048. (ii) Comment on the expected return and risk (standard deviation) of shares A, i) above or below the Securities Market Line. 1
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