Question
(Please answer all with equations used and work shown!) 1. A: The stocks of Apple and Amazon have the following expected returns: State of Economy
(Please answer all with equations used and work shown!)
1. A: The stocks of Apple and Amazon have the following expected returns:
State of Economy | Probability of State of Economy | Apple's Return if State Occurs | Amazon's Return if State Occurs |
Recession | 55% | -9% | -12% |
Normal | 30% | 8% | 11% |
Boom | 15% | 17% | 14% |
Which company's stock is riskier, based on standard deviation? (20 points)
B: If you have 120 shares of Apple's common stock ($171.05 per share) and 90 shares of Amazon's common stock ($1162.35 per share) in your portfolio, what is the expected return on your portfolio? (15 points)
2. Stock Y has a beta of 1.30 and an expected return of 15.3%. Stock Z has a beta of 0.70 and an expected return of 9.3%. If the risk-free rate is 5.5% and the market risk premium is 6.8%, are these stocks correctly priced? (15 points)
3. You have one million USD and want to create a portfolio equally as risky as the market. Given this information, fill in the rest of the following table: (15 points)
Asset | Investment | Beta |
Stock A | $195,000 | 0.90 |
Stock B | $340,000 | 1.15 |
Stock C | ? | 1.29 |
Risk-free asset | ? | ? |
4. Suppose you observe the following situation:
Security | Beta | Expected Return |
Pete Corp. | 1.15 | 12.90% |
Repete Co. | 0.84 | 10.20% |
Assume the two securities are correctly priced. Based on CAPM, what is the expected return on the market? What is the risk-free rate? (15 points)
5. Explain the CAPM. [hint: we need to discuss systematic and unsystematic risks, diversification, assumptions CAPM makes, SML line, the model, things CAPM can't explain, etc. Everything should be linked with the development of the CAPM ] (20 points)
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