Question: (Q) In this problem, you will apply the CAPM to value the tech stocks of the table below. Compute the covariance matrix. What are the
(Q) In this problem, you will apply the CAPM to value the tech stocks of the table below.
- Compute the covariance matrix.
- What are the CAPM betas for the 4 tech stocks?
- What are the alphas of the 4 tech stocks?
- What are the systematic and idiosyncratic variances of each tech stock?
You can assume that the latest risk-free rate is 0.08%.
| Correlations | ||||||||
| Market Caps (trillion) | Price | Expected return | Volatility | Alphabet | Amazon | Apple | Microsoft | |
| Alphabet | $1.75 | $2,653.64 | 20.90% | 40.60% | 1 | 0.87 | 0.75 | 0.92 |
| Amazon | $1.49 | $2,936.35 | 24.50% | 49.20% | 0.87 | 1 | 0.81 | 0.88 |
| Apple | $2.59 | $158.52 | 25.40% | 35.20% | 0.75 | 0.81 | 1 | 0.85 |
| Microsoft | $2.14 | $285.59 | 26.60% | 39.10% | 0.92 | 0.88 | 0.85 | 1 |
| S&P 500 | 13.80% | 26.80% | 0.87 | 0.88 | 0.91 | 0.93 | ||
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