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Non-stochastic portfolio theory

Vladimir Vovk

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Abstract: This paper studies a non-stochastic version of Fernholz's stochastic portfolio theory for a simple model of stock markets with continuous price paths. It establishes non-stochastic versions of the most basic results of stochastic portfolio theory and discusses connections with Stroock-Varadhan martingales.

Date: 2017-12, Revised 2018-02
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