Asked by Trishton Belisle on May 12, 2024

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If we assume that the annual return on common stocks are normally distributed, then approximately 95% of the returns will fall within the range ___________% if the average historical return is 13.2% with a standard deviation of 20.3%.

A) 7.1 to 33.5
B) -7.1 to 33.5
C) -27.4 to 33.5
D) -5.1 to 45.7
E) -27.4 to 53.8

Normally Distributed

A statistical term describing a distribution of data where most of the observations cluster around the mean, forming a bell-shaped curve.

Annual Return

The percentage change in the value of an investment over a one-year period, including dividends, interest, and capital gains.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from their mean.

  • Develop the ability to assess the range of likely returns for a stock.
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EV
Elizabeth VelasquezMay 19, 2024
Final Answer :
E
Explanation :
Using the properties of a normal distribution, approximately 95% of the observations fall within 2 standard deviations of the mean. Therefore, we calculate the range as: Mean ± 2(Standard Deviation) = 13.2% ± 2(20.3%) = 13.2% ± 40.6% = -27.4% to 53.8%.