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Answer: 0.23%
The standard deviation of the sample mean (also called standard error of the mean) is calculated using the formula: $$ \text{Standard Error} = \frac{\sigma}{\sqrt{n}} $$ Where: - σ = population standard deviation = 1.8% - n = number of observations Since we have monthly data for 5 years: - Number of months = 5 years × 12 months/year = 60 months Calculation: $$ \text{Standard Error} = \frac{1.8\%}{\sqrt{60}} = \frac{1.8\%}{7.746} = 0.232\% \approx 0.23\% $$ This represents the standard deviation of the sample mean, which measures how much the sample mean is expected to vary from the true population mean. The correct answer is 0.23%.
Author: Nikitesh Somanthe
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An analyst gathers monthly data about the returns of a stock for the past five years. If the mean monthly return is 6% and the standard deviation of the series of returns is 1.8%, then what is the standard deviation of the mean over the period?
A
0.45%
B
0.23%
C
0.52%
D
1.39%