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Reading 7: Statistical Concepts and Market Returns - LOS h

Q6. What is the coefficient of variation for a distribution with a mean of 10 and a variance of 4?

A)   20%.

B)   40%.

C)   25%.

Q7. The historical return for each of a portfolio’s four positions is shown below. Using the population standard deviation, what is the coefficient of variation (CV) for these returns?

Position   Return

A    17.0%

B    12.2%

C    3.9%

D   –8.4%

A)   1.56.

B)   3.12.

C)   1.89.

Q8. If the historical mean return on an investment is 2.0% and the standard deviation is 8.8%, what is the coefficient of variation (CV)?

A)   4.40.

B)   1.76.

C)   6.80.

答案和详解如下:

Q6. What is the coefficient of variation for a distribution with a mean of 10 and a variance of 4?

A)   20%.

B)   40%.

C)   25%.

Correct answer is A)

Coefficient of variation, CV = standard deviation / mean. The standard deviation is the square root of the variance, or 4½ = 2. So, CV = 2 / 10 = 20%.

Q7. The historical return for each of a portfolio’s four positions is shown below. Using the population standard deviation, what is the coefficient of variation (CV) for these returns?

Position   Return

A    17.0%

B    12.2%

C    3.9%

D   –8.4%

A)   1.56.

B)   3.12.

C)   1.89.

Correct answer is A)

The coefficient of variation is equal to the standard deviation of returns divided by the mean return.

Position   Return     (R – 6.175%)2

A          17.0%       117.18

B          12.2%       36.30

C         3.9%          5.18

D        –8.4%     212.43

Mean       6.175%    Sum = 371.09

Std. Dev. = (371.09 / 4)0.5 = 9.63

CV = 9.63 / 6.175 = 1.56

Q8. If the historical mean return on an investment is 2.0% and the standard deviation is 8.8%, what is the coefficient of variation (CV)?

A)   4.40.

B)   1.76.

C)   6.80.

Correct answer is A)

The CV = the standard deviation of returns / mean return or 8.8% / 2.0% = 4.4.

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thanks

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[em01]

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看答案,谢谢LZ

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就想陪在你身边

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answers

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d

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ss

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a

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