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Kelly Criterion: From a Simple Random Walk to L\'{e}vy Processes

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  • Sergey Lototsky
  • Austin Pollok

Abstract

The original Kelly criterion provides a strategy to maximize the long-term growth of winnings in a sequence of simple Bernoulli bets with an edge, that is, when the expected return on each bet is positive. The objective of this work is to consider more general models of returns and the continuous time, or high frequency, limits of those models.

Suggested Citation

  • Sergey Lototsky & Austin Pollok, 2020. "Kelly Criterion: From a Simple Random Walk to L\'{e}vy Processes," Papers 2002.03448, arXiv.org.
    • Handle: RePEc:arx:papers:2002.03448
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    File URL: http://arxiv.org/pdf/2002.03448
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    Cited by:

    1. Vuko Vukcevic & Robert Keser, 2024. "Sizing the bets in a focused portfolio," Papers 2402.15588, arXiv.org.

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