Question
Portfolio risk & return. The 3-stock portfolio are proposed to you. Assume that the return on market (R M ) is 9.00%, and risk-free rate
Portfolio risk & return. The 3-stock portfolio are proposed to you. Assume that the return on market (RM) is 9.00%, and risk-free rate (T-Bill, or RRF) is 1.20%. Note that, T-Bill has no relationship with any of these assets, and its standard deviation is zero.
Use table below to calculate risk and return of the portfolio.
Assets | Investment weight | Expected return | Standard Deviation | Correlation | Beta |
Asset A | 25.00% | 32.00% | 45.00% | CorrA,B = 0.60 | 1.21 |
Asset B | 40.00% | 24.00% | 20.00% | CorrA,C = -0.45 | 1.07 |
Asset C | 35.00% | 16.00% | 15.00% | CorrB,C = 0.24 | 0.56 |
Questions | Answers |
1. Calculate expected return of portfolio with all 3 risky assets | Answer% |
2. Calculate Standard deviation of portfolio with all 3 risky assets | Answer% |
3. Assume you sell out Asset A, and replace it with T-Bill, using the same investment weight. Calculate expected return of portfolio of T-Bill and 2 risky assets (Asset B, and C) | Answer% |
4. Assume you sell out Asset A, and replace it with T-Bill, using the same investment weight. Calculate Standard deviation of portfolio of T-Bill and 2 risky assets (Asset B, and C) | Answer% |
5. Calculate beta of portfolio with all 3 risky assets | Answer |
6. Use CAPM, calculate required rate of return of all 3 risky assets | Answer% |
7. Assume you add a new asset, Asset D, into portfolio. You adjust your portfolio by investing in all 4 assets equally. Beta of Asset D is 1.00. Calculate beta of portfolio with all 4 risky assets | Answer |
8. From question 7, use CAPM and calculate required rate of return of portfolio with all 4 risky assets | Answer |
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