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Reading 9: Common Probability Distributions - LOS j ~ Q1-5

Q1. The farthest point on the left side of the lognormal distribution:

A)   is skewed to the left.

B)   is bounded by 0.

C)   can be any negative number.

Q2. Which of the following statements regarding the distribution of returns used for asset pricing models is most accurate?

A)   Lognormal distribution returns are used for asset pricing models because they will not result in an asset return of less than -100%.

B)   Normal distribution returns are used for asset pricing models because they will only allow the asset price to fall to zero.

C)   Lognormal distribution returns are used because this will allow for negative returns on the assets.

Q3. If a random variable x is lognormally distributed then ln x is:

A)  normally distributed

B)  abnormally distributed.

C)  defined as ex.

Q4. If random variable Y follows a lognormal distribution then the natural log of Y must be:

A)   normally distributed.

B)   denoted as ex.

C)   lognormally distributed.

Q5. Given Y is lognormally distributed, then ln Y is:

A)   normally distributed.

B)   a lognormal distribution.

C)   the antilog of Y.

答案和详解如下:

Q1. The farthest point on the left side of the lognormal distribution:

A)   is skewed to the left.

B)   is bounded by 0.

C)   can be any negative number.

Correct answer is B

The lognormal distribution is skewed to the right with a long right hand tail and is bounded on the left hand side of the curve by zero.

Q2. Which of the following statements regarding the distribution of returns used for asset pricing models is most accurate?

A)   Lognormal distribution returns are used for asset pricing models because they will not result in an asset return of less than -100%.

B)   Normal distribution returns are used for asset pricing models because they will only allow the asset price to fall to zero.

C)   Lognormal distribution returns are used because this will allow for negative returns on the assets.

Correct answer is A)

Lognormal distribution returns are used for asset pricing models because this will not result in asset returns of less than 100% because the lowest the asset price can decrease to is zero which is the lowest value on the lognormal distribution. The normal distribution allows for asset prices less than zero which could result in a return of less than -100% which is impossible.

Q3. If a random variable x is lognormally distributed then ln x is:

A)  normally distributed

B)  abnormally distributed.

C)  defined as ex.

Correct answer is A)

For any random variable that is normally distributed its natural logarithm (ln) will be lognormally distributed. The opposite is also true: for any random variable that is lognormally distributed its natural logarithm (ln) will be normally distributed.

Q4. If random variable Y follows a lognormal distribution then the natural log of Y must be:

A)   normally distributed.

B)   denoted as ex.

C)   lognormally distributed.

Correct answer is A

For any random variable that is lognormally distributed its natural logarithm (ln) will be normally distributed.

Q5. Given Y is lognormally distributed, then ln Y is:

A)   normally distributed.

B)   a lognormal distribution.

C)   the antilog of Y.

Correct answer is A

If Y is lognormally distributed, then ln Y is normally distributed.

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thank you so much

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[em07]

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Thanks

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看答案,谢谢LZ

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d

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ss

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谢谢了 O(∩_∩)O哈哈~

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