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The table below presents the state-based returns of securities A and B, the risk-free security and the market portfolio, where p is the probability of
The table below presents the state-based returns of securities A and B, the risk-free security and the market portfolio, where p is the probability of each state. Use the information therein to answer parts a and b.
State | p | Security A | Security B | Risk-free security | Market portfolio |
Recession | 0.5 | -4% | 44% | 2% | -6% |
Normal | 0.4 | 10% | -10% | 2% | 20% |
Boom | 0.1 | 40% | -30% | 2% | 30% |
- Calculate the expected return and its standard deviation of securities A and B.
- Suppose you borrow $30,000 at the risk-free rate and along with the $60,000 you have, you invest $15,000 in security A and $75,000 in security B. Calculate the expected return, its standard deviation and the CAPM-implied beta of this portfolio.
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