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Stock X has a standard deviation of return of 10%. Stock Y has a standard deviation of return of 20%. The correlation coefficient between these stocks is 0.5. If you invest 60% of the funds in stock X and 40% in stock Y, what is the standard deviation of your portfolio?

Answer :

Answer:

12.16%.

Explanation:

Standard Deviation is a financial metric that is used to quantify risk. It is used for risk management strategies. One of the main uses of Standard Deviation is to calculate the Value at Risk for a Portfolio, which is the minimum/maximum loss that a portfolio can incur over a given period of time. The formula that is used to calculate the Standard Deviation of Portfolio is attached.

Standard Deviation of Portfolio =

[tex]\sqrt{x} (.1)x^{2} * (.6)x^{2} + (.2)x^{2} * (.4)x^{2} + 2 * (.6) * (.4) * (.5) * (.1) * (.2)[/tex] = 12.16%.

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