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If the standard deviation of returns on the market is 18% and the beta of a well-diversified portfolio is 1.65, calculate the standard deviation of this portfolio.Group of answer choices29.7%12.5%32.3%16.5%18.0%

Question

If the standard deviation of returns on the market is 18% and the beta of a well-diversified portfolio is 1.65, calculate the standard deviation of this portfolio.Group of answer choices29.7%12.5%32.3%16.5%18.0%

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Solution

The standard deviation of a well-diversified portfolio can be calculated using the formula:

Standard Deviation of Portfolio = Beta of Portfolio * Standard Deviation of Market

Given that the standard deviation of the market is 18% and the beta of the portfolio is 1.65, we can substitute these values into the formula:

Standard Deviation of Portfolio = 1.65 * 18% = 29.7%

So, the standard deviation of this portfolio is 29.7%.

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