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- W2073107309 abstract "Due to the non-separability of the variance operator, the optimalinvestment policy of the multi-period mean-variance model inMarkovian markets doesn't satisfy the time consistency. We propose anew weak time consistency in stochastic markets and show that thepre-commitment optimal policy satisfies the weak time consistency atany intermediate period as long as the investor's wealth is no morethan a specific threshold. When the investor's wealth exceeds thethreshold, the weak time consistency no longer holds. In this case,by modifying the pre-commitment optimal policy, we derive a wealthinterval, from which we determine a more efficient revised policy.The terminal wealth obtained under this revised policy can achievethe same mean as, but not greater variance than those of theterminal wealth obtained under the pre-commitment optimal policy; aseries of superior investment policies can be obtained depending onthe degree the investor wants the conditional variance to decrease.It is shown that, in the above revising process, a positive cashflow can be taken out of the market. Finally, an empirical exampleillustrates our theoretical results. Our results generalize existingconclusions for the multi-period mean-variance model indeterministic markets." @default.
- W2073107309 created "2016-06-24" @default.
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- W2073107309 date "2015-04-01" @default.
- W2073107309 modified "2023-10-01" @default.
- W2073107309 title "Time consistent policy of multi-period mean-variance problem in stochastic markets" @default.
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- W2073107309 doi "https://doi.org/10.3934/jimo.2016.12.229" @default.
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