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Time-Inconsistency of VaR and Time-Consistent Alternatives
Patrick Cheridito Princeton University Mitja Stadje Princeton University November 2007 Abstract: We show that VaR (value-at-risk) is not time-consistent and discuss examples where this leads to dynamically inconsistent behavior. Then we propose two time-consistent alternatives to VaR. The first one is a composition of one-period VaR's. It has some of the theoretical drawbacks of static VaR and should be used with care in situations where financial positions are not normally distributed or in models with complex dependence structures. The second one is a composition of average VaR's. It is a time-consistent coherent risk measure and provides good results in any situation.
Keywords: time-consistency, value at risk, composed value at risk, composed average value at risk JEL Classifications: D81, G18 Working Paper SeriesDate posted: March 05, 2008 ; Last revised: March 05, 2008Suggested Citation |
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