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A Model-Free Lattice

Author

Listed:
  • Ren-Raw Chen

    (Gabelli School of Business, Fordham University, New York, NY 10019, USA
    College of Management, Chang-Gang University, Taoyaun 33302, Taiwan)

  • Pei-Lin Hsieh

    (Department of Finance, National Cheng-Chi University, Taipei City 11605, Taiwan)

  • Jeffrey Huang

    (FICC, SinoPack Bank, Taipei 104, Taiwan)

  • Hongbiao Zhao

    (School of Statistics and Management, Shanghai University of Finance and Economics (SUFE), Shanghai 200433, China)

Abstract

Predicting future price movements has always been one of the major topics in financial research, and there is no better method to predict the future prices of an asset than using its derivatives. In this paper, we propose a model-free lattice model that describes the complete price evolution of the underlying asset and simultaneously re-prices all of its European options. Given that such a lattice is consistent with market option prices, it must embed all necessary risk factors (e.g., random volatility, random interest rates, and jumps) and market restrictions (e.g., mean-reversion and liquidity) that are priced into the European options.

Suggested Citation

  • Ren-Raw Chen & Pei-Lin Hsieh & Jeffrey Huang & Hongbiao Zhao, 2025. "A Model-Free Lattice," JRFM, MDPI, vol. 18(1), pages 1-19, January.
    • Handle: RePEc:gam:jjrfmx:v:18:y:2025:i:1:p:30-:d:1565621
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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