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Hello ,  here are the details  : Fix  a time horizon T

where  b are \gamma  are an integrable processs ,  for all T>t>0 

Nt  is a poisson process , the jumps are nonnegative  ie :  Y_i are iid and Y_1 \geq 0


the process :    is integrable.


Now we define the value at risk by :


where :


Now in order to test some  theoritical bounds for small \alpha , I need to plot the curve for the VAR , I have read that Monte carlo doesn't work for small \alpha  and EVT is a better approach ,


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