Question
Consider the following details regarding risk and expected return for four assets: Asset Standard Deviation (% p.a.) Treasury Bill 0 Shares in Disney Ltd 17.7
Consider the following details regarding risk and expected return for four assets:
Asset | Standard Deviation (% p.a.) |
Treasury Bill | 0 |
Shares in Disney Ltd | 17.7 |
Shares in MGM Resorts International | 30.8 |
S&P500 Index | 11.3 |
You also know that the correlation coefficients between the returns of the assets are as follows:
| Treasury Bill | Disney Ltd | MGM Resorts | S&P500 |
Treasury Bill | 1.0 |
|
|
|
Disney Ltd | 0 | 1.0 |
|
|
MGM Resorts | 0 | 0.47 | 1.0 |
|
S&P500 | 0 | 0.74 | 0.55 | 1.0 |
Your brother has a portfolio that currently only consists of shares in Disney Ltd. He comes to you and asks your advice on diversifying his portfolio such that half of his wealth is invested in Disney Ltd and half in MGM Resorts International.
1. Calculate the standard deviation of the returns of the portfolio following your brothers proposed investment in MGM Resorts [express to two decimal places e.g. 35.24%].
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