Assume that there are three states of the world in a year: good, neutral and bad. | |||
Suppose that the annual returns on the market and a company A in each state of the world are as follwos: | |||
State of the world | Probability | Market return | Stock A return |
Good | 0.3 | 0.2 | 0.05 |
Neutral | 0.5 | 0.05 | -0.05 |
Bad | 0.2 | -0.1 | 0.15 |
a) Construct the probability distribution of the states of the world over the 2-year period.
b) Calculate the expected return and standard deviation of the market over the 2-year period.
c) Same question for the stock return of company A.
d) Calculate the beta of A, its covariance and correlation with the market.
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