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Optimal Betting: Beyond the Long-Term Growth

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  • Levon Hakobyan
  • Sergey Lototsky

Abstract

While the Kelly portfolio has many desirable properties, including optimal long-term growth rate, the resulting investment strategy is rather aggressive. In this paper, we suggest a unified approach to the risk assessment of the Kelly criterion in both discrete and continuous time by introducing and analyzing the asymptotic variance that describes fluctuations of the portfolio growth, and use the results to propose two new measures for quantifying risk.

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  • Levon Hakobyan & Sergey Lototsky, 2025. "Optimal Betting: Beyond the Long-Term Growth," Papers 2503.17927, arXiv.org.
    • Handle: RePEc:arx:papers:2503.17927
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    File URL: http://arxiv.org/pdf/2503.17927
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