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29 April, 04:24

A stock had annual returns of 6 percent, 13 percent, 11 percent, - 8 percent, and 3 percent for the past five years, respectively. What is the standard deviation of returns for this stock?

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  1. 29 April, 06:06
    0
    8.27%

    Explanation:

    Given:

    Annual returns = 6 percent, 13 percent, 11 percent, - 8 percent, and 3 percent

    The average rate of return = (Sum of all the values) / Number of values

    = (0.06 + 0.13 + 0.11 - 0.08 + 0.03) / 5

    = 0.05

    Now,

    the variance

    = { (0.06 - 0.05) ² + (0.13 - 0.05) ² + (0.11 - 0.05) ² + (-0.08 - 0.05) ² + (0.03 - 0.05) ²} / (5 - 1)

    = (0.0001 + 0.0064 + 0.0036 + 0.0169 + 0.0004) / 4

    = 0.00685

    Now

    the standard deviation, σ = √ (Variance)

    σ = √0.00685

    or

    σ = 0.0827

    or

    σ = 0.0827 * 100% = 8.27%
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