Question: Let L be a loss random variable with finite second moment. Prove or disprove each of the following risk measure as coherent risk measure. If

Let L be a loss random variable with finite second moment. Prove or disprove each of the following risk measure as coherent risk measure. If it is not a coherent risk measure, state the axiom(s) that are violated.

a) E[L]

b) sqrt(Var(L))

c) sqrt(Var(L)) + kE[L], where k is a constant

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