Value-at-Risk Theory and Practice

The first advanced book on value-at-risk

Chapter 3, Page 113
Exercise 5

True or false: If a continuous random variable X has a symmetric distribution, (x – ) = (–x – ), it must have 0 skewness.

Solution

False. We can say that, if the third moment of X exists and ( + x) = ( – x), then X must have 0 skewness.
 

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