标题: Reading 7: Statistical Concepts and Market Returns - LOS h [打印本页]
作者: mayanfang1 时间: 2009-1-8 17:45 标题: [2009] Session 2 - 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.
作者: mayanfang1 时间: 2009-1-8 17:46
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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2009] Session 2 - Reading 7: Statistical Concepts and Market Returns - LOS h, (Part 1) ~ Q6-8
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