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On statistical indistinguishability of complete and incomplete discrete time market models

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  • Nikolai Dokuchaev

    (Zhejiang University/University of Illinois at Urbana-Champaign Institute
    Zhejiang University)

Abstract

The paper studies asset pricing for stochastic discrete time stock market models. The possibility of statistical evaluation of the market completeness is investigated. It is known that the market completeness is not a robust property: small random deviations of the coefficients convert a complete market model into a incomplete one. The paper investigates if market incompleteness is robust. It is found that market incompleteness is a non-robust property as well. This is demonstrated for a basic single stock stochastic market model. This implies that, for any incomplete market from a wide class of discrete time models, there exists a complete market model with arbitrarily close stock prices. This means that incomplete markets are indistinguishable from the complete markets in the terms of market statistics.

Suggested Citation

  • Nikolai Dokuchaev, 2023. "On statistical indistinguishability of complete and incomplete discrete time market models," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(2), pages 461-475, December.
    • Handle: RePEc:spr:decfin:v:46:y:2023:i:2:d:10.1007_s10203-023-00397-y
    DOI: 10.1007/s10203-023-00397-y
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    References listed on IDEAS

    as
    1. Dokuchaev, Nikolai, 2018. "On causal extrapolation of sequences with applications to forecasting," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 276-286.
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    9. Nikolai Dokuchaev, 2021. "On statistical indistinguishability of complete and incomplete market models," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 38(1), pages 114-125, February.
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