Question: I would like to know how to write the correct process for the two small questions in this question. Thank you! Exercise 4. Let (0,)

I would like to know how to write the correct process for the two small questions in this question. Thank you! I would like to know how to write the correct process for

Exercise 4. Let (0,) be fixed. Let a be the mapping defined by (X):=1log(E(eX)) (i) What technical condition must X satisfy in order for (X) to be finite? (ii) Is a risk measure? Is a monetary risk measure? Is a convex risk measure? Justify carefully your answers

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