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CFA Level 1
Portfolio Management

Calculating Portfolio Standard Deviation

Very Hard Portfolio Risk And Return Risk Measures

In the realm of portfolio management, understanding the risk measures associated with different investment strategies is crucial. Consider a portfolio that is comprised of two assets: Asset X and Asset Y. The expected returns are 10% for Asset X and 6% for Asset Y, with respective standard deviations of 15% and 10%. The correlation coefficient between the returns of the two assets is 0.4. An investor is attempting to calculate the portfolio's overall risk using the following formula:

Portfolio Variance = (Weight of X)^2 * (Standard Deviation of X)^2 + (Weight of Y)^2 * (Standard Deviation of Y)^2 + 2 * (Weight of X) * (Weight of Y) * (Correlation Coefficient) * (Standard Deviation of X) * (Standard Deviation of Y).

If the weights of asset X and asset Y in the portfolio are 0.6 and 0.4, respectively, which of the following demonstrates the portfolio's risk in terms of standard deviation?

Hint

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