Value-at-Risk Theory and Practice

The first advanced book on value-at-risk

Chapter 3, Page 113
Exercise 9

In general, for any random variable X and any constant a, std(X + a) = . Prove this result for the case X is continuous. Use your result from Exercise 3.7.

Solution

By [3.7] and the result of Exercise 3.7,

[s1]

[s2]
[s3]
[s4]
[s5]

Accordingly,

[s6]

 

 

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