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he standard deviations of shares A, B and C are 20%, 15% and 30%, respectively. You want to make a portfolio combining these three shares.
he standard deviations of shares A, B and C are 20%, 15% and 30%, respectively. You want to make a portfolio combining these three shares. The correlation matrix of these three shares is as follows:
Share | A | B | C |
A | 1.0 | -0.6 | 0.1 |
B | -0.6 | 1.0 | 0.6 |
C | 0.1 | 0.6 | 1.0 |
You have $1 million to invest in these three shares in the following proportions:
Share | Weights |
A | 0.30 |
B | 0.20 |
C | 0.50 |
Using the above data, answer the following questions:
- Calculate the covariance matrix for the three shares
- Estimate the contribution of each share to the portfolio variance
- Calculate the percentage contribution from each share to the portfolio variance
- If you want to reduce the portfolio variance which share would you replace with a share that has a lower contribution.
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