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The market portfolio currently has the expected return of 15% per annum and with the risk, as measured by standard deviation, of 10% per annum.

The market portfolio currently has the expected return of 15% per annum and with the risk, as measured by standard deviation, of 10% per annum. The risk free rate is currently 5% per annum. You wish to form an investment portfolio with the expected return of 12% per annum. What will be the risk of your portfolio? Show all workings, including the weights to be invested in the Market portfolio and Risk-Free asset (and indicate whether you have to borrow or lend).

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