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Reading 7: Statistical Concepts and Market Returns-LOS k习题

Session 2: Quantitative Methods: Basic Concepts
Reading 7: Statistical Concepts and Market Returns

LOS k: Define and interpret measures of sample skewness and kurtosis.

 

 

 

Which of the following statements concerning skewness is least accurate? A distribution with:

A)
a distribution with skew equal to 1 is not symmetrical.
B)
positive skewness has a long left tail.
C)
negative skewness has a large number of outliers on its left side.

Which of the following statements concerning skewness is least accurate? A distribution with:

A)
a distribution with skew equal to 1 is not symmetrical.
B)
positive skewness has a long left tail.
C)
negative skewness has a large number of outliers on its left side.



A distribution with positive skewness has long right tails.

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Which of the following statements concerning kurtosis is least accurate?

A)
A distribution that is more peaked than a normal distribution is leptokurtic.
B)
A leptokurtic distribution has fatter tails than a normal distribution.
C)
A leptokurtic distribution has excess kurtosis less than zero.

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Which of the following statements concerning kurtosis is least accurate?

A)
A distribution that is more peaked than a normal distribution is leptokurtic.
B)
A leptokurtic distribution has fatter tails than a normal distribution.
C)
A leptokurtic distribution has excess kurtosis less than zero.



A leptokurtic distribution is more peaked than normal and has fatter tails. However, the excess kurtosis is greater than zero.

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Which of the following statements about kurtosis is least accurate? Kurtosis:

A)
measures the peakedness of a distribution reflecting a greater or lesser concentration of returns around the mean.
B)
describes the degree to which a distribution is not symmetric about its mean.
C)
is used to reflect the probability of extreme outcomes for a return distribution.

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Which of the following statements about kurtosis is least accurate? Kurtosis:

A)
measures the peakedness of a distribution reflecting a greater or lesser concentration of returns around the mean.
B)
describes the degree to which a distribution is not symmetric about its mean.
C)
is used to reflect the probability of extreme outcomes for a return distribution.



The degree to which a distribution is not symmetric about its mean is measured by skewness. Excess kurtosis which is measured relative to a normal distribution, indicates the peakedness of a distribution, and also reflects the probability of extreme outcomes.

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Which of the following statements concerning a distribution with positive skewness and positive excess kurtosis is least accurate?

A)
It has a lower percentage of small deviations from the mean than a normal distribution.
B)
The mean will be greater than the mode.
C)
It has fatter tails than a normal distribution.

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Which of the following statements concerning a distribution with positive skewness and positive excess kurtosis is least accurate?

A)
It has a lower percentage of small deviations from the mean than a normal distribution.
B)
The mean will be greater than the mode.
C)
It has fatter tails than a normal distribution.



A distribution with positive excess kurtosis has a higher percentage of small deviations from the mean than normal. So it is more “peaked” than a normal distribution. A distribution with positive skew has a mean > mode.

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A distribution of returns that has a greater percentage of small deviations from the mean and a greater percentage of large deviations from the mean compared to a normal distribution:

A)

is positively skewed.

B)

has positive excess kurtosis.

C)

has negative excess kurtosis.

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A distribution of returns that has a greater percentage of small deviations from the mean and a greater percentage of large deviations from the mean compared to a normal distribution:

A)

is positively skewed.

B)

has positive excess kurtosis.

C)

has negative excess kurtosis.




A distribution that has a greater percentage of small deviations from the mean and a greater percentage of large deviations from the mean will be leptokurtic and will exhibit positive excess kurtosis. The distribution will be taller (more peaked) with fatter tails than a normal distribution.

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