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(i) Suppose that L1, L2 are identical independent random variables that fol- low the following pmf J0.009 f(x) = x = 100 0.991 x


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(i) Suppose that L1, L2 are identical independent random variables that fol- low the following pmf J0.009 f(x) = x = 100 0.991 x = -5 Calculate VaR0.99 (+2), ES0.99 (L1+2). (ii) A risk measure p: MR is said to be convex, whenever p(AL + (1 - )L2) Ap(L1) + (1A)p(L2) for all AE (0, 1) and L1, L2 E M. Is VaR0.99 convex? Is ES0.99 convex? (Hint: For VaR check the convexity property (with \ = ) for the example given in part (i))

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