Seems like this problem would be a good doctoral thesis for someone. My math are on the engineering side, and not financial, even though I picked some of that up in grad school.
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"The pride system tends to intensify the self-hate against which it is supposed to be a defense, since any failure to live up to one's tyrannical shoulds or of the world to honor one's claims leads to feelings of worthlessness." Bernard J. Paris, Ph.D.
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