Question
The risk-free rate is 2%. Portfolio A has an expected return of 10% and a standard deviation of 18%. You currently have XA = 48%
The risk-free rate is 2%. Portfolio A has an expected return of 10% and a standard deviation of 18%. You currently have XA = 48% of your wealth invested in Portfolio A and the rest invested in the risk-free asset. You have decided to use Portfolio B (which has an expected return of 12% and a standard deviation of 21%). instead of Portfolio A but wish to have the same overall expected return as before. You will thus now allocate XB% of your total wealth to Portfolio B (note XB may differ from XA) and the rest to the risk-free asset. What is the overall standard deviation you will face in your complete portfolio (considering you will invest in both Portfolio B and the risk-free)? Enter the standard deviation in decimal form and rounded accurately to four decimal places (e.g., 20.456% should be entered as 0.2046 and not any other way).
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