Value-at-Risk Theory and Practice

The first advanced book on value-at-risk

Chapter 03, Page 113
Exercise 8

In general, for any random variable X and any constant b, std(bX) = , where indicates the absolute value of b. Prove this result for the case X is discrete. Use your result from Exercise 3.6.

Solution

By [3.7] and the result of Exercise 3.6,

[s1]

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

Accordingly,

[s6]

 

 

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