Question: Question 2 (Coherent Risk measures, (18 marks)). Let > O be any positive scalar and consider the following function ARV(9) + R defined on the

Question 2 (Coherent Risk measures, (18 marks)). Let > O be any positive scalar and consider the following function ARV(9) + R defined on the space RV (2) of random variables supported over some scenario set 12 105 (E [e-**)) 1. Check whether this function satisfies each of the four properties - monotonicity, translation equivariance, positive homogeneity, and subadditivity. (16 marks) 2. Conclude what you can say whether this function is a coherent risk measure or not. (2 marks) Question 2 (Coherent Risk measures, (18 marks)). Let > O be any positive scalar and consider the following function ARV(9) + R defined on the space RV (2) of random variables supported over some scenario set 12 105 (E [e-**)) 1. Check whether this function satisfies each of the four properties - monotonicity, translation equivariance, positive homogeneity, and subadditivity. (16 marks) 2. Conclude what you can say whether this function is a coherent risk measure or not. (2 marks)
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