The past five monthly returns for Kohl’s are 3.72 percent, 4.07 percent, 1.86 pe

Question

The past five monthly returns for Kohl’s are 3.72 percent, 4.07 percent, 1.86 percent, 9.34 percent, and 2.74 percent. Compute the standard deviation of Kohls’ monthly returns. (Do not round intermediate calculations and round your final answer to 2 decimal places.)

The past five monthly returns for Kohl’s are 3.72 percent, 4.07 percent, 1.86 percent, 9.34 percent, and 2.74 percent. Compute the standard deviation of Kohls’ monthly returns. (Do not round intermediate calculations and round your final answer to 2 decimal places.)

Explanation / Answer

Standard Deviation = SqRt[dx2/n - (dx/n)2 ]

= SqRt [192.5157 / 5 - (21.83 / 5)2 ]

  = SqRt [38.50314 - 19.061956]

= SqRt [19.441184]

Standard Deviation = 4.41%

Returns dx dx2 3.72 5.58 31.1364 4.07 5.93 35.1649 -1.86 0 0 9.34 11.20 125.44 -2.74 -0.88 0.7744 n=5 dx = 21.83 dx2 = 192.5157

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