You have just been appointed as a fund manager for Gate Way Fund, of which you will be responsible of a portfolio that consists of two assets. The analysts have provided you with the expected returns and standard deviations of returns of which are listed in the table below: Asset A Asset B Expected Return 7% 11% Standard Deviation 15% 21% Calculate the expected return of the portfolio if half is invested in asset A. If the covariance of the two assets is 28, calculate the correlation coefficient of the portfolio. Calculate the variance of the portfolio if the investments in the two assets classes is equal.
You have just been appointed as a fund manager for Gate Way Fund, of which you will be responsible of a portfolio that consists of two assets. The analysts have provided you with the expected returns and standard deviations of returns of which are listed in the table below: Asset A Asset B Expected Return 7% 11% Standard Deviation 15% 21% Calculate the expected return of the portfolio if half is invested in asset A. If the covariance of the two assets is 28, calculate the correlation coefficient of the portfolio. Calculate the variance of the portfolio if the investments in the two assets classes is equal.
Chapter8: Risk And Rates Of Return
Section: Chapter Questions
Problem 9PROB
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You have just been appointed as a fund manager for Gate Way Fund, of which you will be responsible of a portfolio that consists of two assets. The analysts have provided you with the expected returns and standard deviations of returns of which are listed in the table below:
|
Asset A |
Asset B |
Expected Return |
7% |
11% |
Standard Deviation |
15% |
21% |
- Calculate the expected return of the portfolio if half is invested in asset A.
- If the covariance of the two assets is 28, calculate the correlation coefficient of the portfolio.
- Calculate the variance of the portfolio if the investments in the two assets classes is equal.
- Calculate the standard deviation of the portfolio if the assets are equally weighted.
- The two asset portfolio model can be extended to a portfolio with more assets. Explain the implications of this approach for the understanding of portfolio risk and discuss the practical problems of applying the model in this fashion.
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