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Consider the following probability distribution for stock Societe Cr`eme Brulee (SCB) and Compagnie Mousse au Chocolat (CMC): Scenario Probability Return of SCB Return of CMC
Consider the following probability distribution for stock Societe Cr`eme Brulee (SCB) and Compagnie Mousse au Chocolat (CMC):
Scenario | Probability | Return of SCB | Return of CMC |
A | 0.5 | 0.14 | 0.11 |
B | 0.2 | 0.26 | -0.16 |
C 0.3 -0.09 0.07 |
- Calculate the expected return of stocks SCB and CMC.
- Calculate the variance and standard deviation of stocks SCB and CMC.
- Calculate the covariance and correlation of stocks SCB and CMC.
- Calculate the expected return and standard deviation for the following portfolios:
- All in SCB
- 20% in CMC and 80% in SCB.
- 40% in CMC and 60% in SCB.
- 60% in CMC and 40% in SCB.
- e 80% in CMC and 20% in SCB.
- All in CMC.
- Go as far as you can to find the numerical value of the portfolio weight that achieves the minimum possible standard deviation.
- Draw the investment opportunity set, and show the efficient frontier.
- Suppose that the correlation between SCB and CMC were equal to -1, but their expected returns and standard deviations stay the same. What portfolio weights should you choose in order to eliminate all the risk in your portfolio?
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