Question
Cathy, a portfolio manager at PS Asset Management, focuses on stock selection in her strategy. Her firm uses the CAPM in valuation. Her current portfolio
Cathy, a portfolio manager at PS Asset Management, focuses on stock selection in her strategy. Her firm uses the CAPM in valuation. Her current portfolio mimics the market index. She has just received the following forecasts based on private information from her research analysts:
Asset | Expected Return (%) | Stdev (%) | Beta | Residual Stdev (%) |
Stock X | 16 | 36 | 0.8 | 40 |
Stock Y | 19 | 25 | 1.8 | 20 |
Market Index | 16 | 15 | 1 |
|
Risk-free rate | 4 | 0 |
|
|
Given this private information, Cathy wants to apply the Treynor-Black (T-B) model to create a new optimal risky portfolio from her current portfolio and private information.
- Based on the T-B model, compute the optimal weights of constituents of the new optimal risky portfolio (P). Show all computations.
- Compute the expected return and standard deviation of the new optimal risky portfolio (P) that Cathy comes up with using the T-B model. Show all computations.
- Compute the Sharpe ratio of the new optimal risky portfolio (P). Show all computations.
- Explain to Anabelle, Cathys client, what makes the new optimal risky portfolio (P) from the Treynor-Black model better than Cathys current portfolio in terms of risk and return.
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