b) The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks A and B, and explain why? E(R) E(R) E(R) (A) (B) (C)
What is the answer to this question?
For this question I have seen 2 answers. So im not sure whats right.
Answer 1:
The most relevant figure is (a) that reflects the risk-return characteristics of stock A and stock B. an effective frontier is called relationship between risk (standard deviation) and expected return. The shape of risk-return features is curved because for each incremental risk incurred there are raising marginal returns. Therefore, for each unit of risk, the standard deviation applied to the portfolio provides an extremely low amount of return. Also we can see that the SD of stock B is higher than that of A.
Figure b) is incorrect because the returns don’t rise in proportion to the risk assumed.
Figure c) is incorrect since both stocks stock A and stock B are risky, and thus a finite return cannot occur at standard deviation = 0
Answer 2
Answer - Graph B
Correlation = Covariance / (Standard deviation of A x Standard deviation of B)
Correlation = 0.0014 / (0.032 x 0.044)
Correlation = 0.99
Correlation of 1 means that there is a perfect correlation between 2 stocks which move together creating a linear line. Since correlation between A and B is 0.99, it means that they are perfectly positively correlated which makes a Linear relationship between both the stocks. Since Graph B Shows the Linear relationship between these stocks, Hence it is the most appropriate depiction of the risk-return characteristics of both the Stocks.
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