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Tail Dependence Fat Tails Micro Correlations Tail Dependence “When sorrows come, they come…in battalions.” King Claudius, Hamlet Prince of Denmark, Act 4 Scene 5 Cooke and Kousky nsf# 0960865 http://www.rff.org/Events/Pages/Introductio n-Climate-Change-Extreme-Events.aspx
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Here’s what killed your 401(k)
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Tail dependence: Correlations are in the High (or low) values
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Two loss variables independent dependent (0.1) 401K killer
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Copula independent dependent (0.1) 401K killer
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Sums of 40 loss variables independent dependent 401K killer
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Copula: sums of 40 independent 401K killer
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Sums of 40 401K killer Tail dependent
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Copula: sums of 40 401K killer tail dependent
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Tail dependence Bad things happen together “ fatally flawed way to assess risk”
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Tail Dependence: Ignore it at your 401K’s peril Fat Tails Micro Correlations The Unholy Trinity: http://www.rff.org/Publications/Pages/PublicationDetails.aspx?PublicationID=20949
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