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Based on 800 daily returns on a portfolio, a manager has estimated the tail of the loss distribution using a threshold of u=5 ($millions). Based

Based on 800 daily returns on a portfolio, a manager has estimated the tail of the loss distribution using a threshold of u=5 ($millions). Based on the 80 losses that exceeded u (so L=u+y with y>0), she estimated the generalized Pareto distribution:

where y is also in units of $millions. Determine VaR0.999 from this model.

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