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What is the variance of the market portfolio?

Question

What is the variance of the market portfolio?

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Solution

The variance of a market portfolio can be calculated using the following steps:

  1. Identify the Returns: The first step in calculating the variance of a market portfolio is to identify the returns of each asset in the portfolio over a specific period of time. This can be done by subtracting the initial price of the asset from its final price, and then dividing by the initial price.

  2. Calculate the Mean: The next step is to calculate the mean (average) return of the portfolio. This can be done by adding up all the individual returns and then dividing by the number of assets in the portfolio.

  3. Calculate the Deviations: Once the mean return has been calculated, the next step is to calculate the deviation of each individual return from the mean. This is done by subtracting the mean return from each individual return.

  4. Square the Deviations: After the deviations have been calculated, the next step is to square each deviation. This is done by multiplying each deviation by itself.

  5. Calculate the Mean of the Squared Deviations: The next step is to calculate the mean of these squared deviations. This is done by adding up all the squared deviations and then dividing by the number of assets in the portfolio.

  6. The Result is the Variance: The result of this calculation is the variance of the market portfolio. The variance is a measure of the dispersion of the returns of the portfolio, and it gives an indication of the risk or volatility of the portfolio.

Remember, the higher the variance, the greater the risk associated with the portfolio.

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