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A simple return generating model in discrete time; implications for market efficiency testing

Author

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  • Alexandros E. Milionis

    (Bank of Greece and University of the Aegean)

Abstract

A linear return generating model is introduced. This model is a generalization in discrete time of the differential equation describing dynamical systems in continuous time. The model is useful in its own right, as it provides a simplified, yet credible, quantitative description of the reality. Further, the model is used as a tool for a theoretical study of market efficiency testing. This is obtained by modelling certain market conditions under which new information is released and reflected in asset prices on the one hand, and, on the other hand, by recording what established econometric testing approaches conclude, about the hypothesis of market efficiency. Amongst others it is argued that, contrary to the general belief, theoretically a random walk in asset prices, under certain conditions, could be associated with profoundly inefficient markets. Furthermore, an enhancement of the battery of statistical tests for market efficiency is proposed by the potential application of specific forms of the suggested linear dynamic model and the possible advantages over the existing techniques are discussed.

Suggested Citation

  • Alexandros E. Milionis, 2019. "A simple return generating model in discrete time; implications for market efficiency testing," Working Papers 259, Bank of Greece.
    • Handle: RePEc:bog:wpaper:259
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    References listed on IDEAS

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    1. Kewei Hou & Tobias J. Moskowitz, 2005. "Market Frictions, Price Delay, and the Cross-Section of Expected Returns," Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 981-1020.
    2. Jay Squalli, 2006. "A non-parametric assessment of weak-form efficiency in the UAE financial markets," Applied Financial Economics, Taylor & Francis Journals, vol. 16(18), pages 1365-1373.
    3. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    4. Milionis, Alexandros E., 2007. "Efficient capital markets: A statistical definition and comments," Statistics & Probability Letters, Elsevier, vol. 77(6), pages 607-613, March.
    5. LeRoy, Stephen F, 1976. "Efficient Capital Markets: Comment," Journal of Finance, American Finance Association, vol. 31(1), pages 139-141, March.
    6. A. E. Milionis & E. Papanagiotou, 2011. "A test of significance of the predictive power of the moving average trading rule of technical analysis based on sensitivity analysis: application to the NYSE, the Athens Stock Exchange and the Vienna," Applied Financial Economics, Taylor & Francis Journals, vol. 21(6), pages 421-436.
    7. Laopodis, Nikiforos T., 2004. "Financial market liberalization and stock market efficiency: Evidence from the Athens Stock Exchange," Global Finance Journal, Elsevier, vol. 15(2), pages 103-123, August.
    8. Peter Huber, 1997. "Stock market returns in thin markets: evidence from the Vienna Stock Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 7(5), pages 493-498.
    9. A. Sabur Mollah, 2007. "Testing Weak-Form Market Efficiency In Emerging Market: Evidence From Botswana Stock Exchange," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 10(06), pages 1077-1094.
    10. Alexandros E. Milionis & Evangelia Papanagiotou, 2009. "An alternative methodological approach to assess the predictive performance of the moving average trading rule in financial markets: application to the london stock exchange," Working Papers 107, Bank of Greece.
    11. Cohen, Kalman J. & Hawawini, Gabriel A. & Maier, Steven F. & Schwartz, Robert A. & Whitcomb, David K., 1983. "Friction in the trading process and the estimation of systematic risk," Journal of Financial Economics, Elsevier, vol. 12(2), pages 263-278, August.
    12. Nabeel Al-Loughani & David Chappell, 1997. "On the validity of the weak-form efficient markets hypothesis applied to the London stock exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 7(2), pages 173-176.
    13. DePenya, Francisco J. & Gil-Alana, Luis A., 2007. "Serial correlation in the Spanish Stock Market," Global Finance Journal, Elsevier, vol. 18(1), pages 84-103.
    14. Fama, Eugene F, 1991. "Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
    15. Rubinstein, Mark, 1975. "Securities Market Efficiency in an Arrow-Debreu Economy," American Economic Review, American Economic Association, vol. 65(5), pages 812-824, December.
    16. repec:cdl:ucsbec:13-89 is not listed on IDEAS
    17. Alexandros Milionis & Demetrios Moschos, 2000. "On the validity of the weak-form efficient markets hypothesis applied to the London stock exchange: comment," Applied Economics Letters, Taylor & Francis Journals, vol. 7(7), pages 419-421.
    18. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    19. LeRoy, Stephen F, 1989. "Efficient Capital Markets and Martingales," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1583-1621, December.
    20. Kian‐Ping Lim & Robert Brooks, 2011. "The Evolution Of Stock Market Efficiency Over Time: A Survey Of The Empirical Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 69-108, February.
    21. Alexandros Milionis & Evangelia Papanagiotou, 2009. "A study of the predictive performance of the moving average trading rule as applied to NYSE, the Athens Stock Exchange and the Vienna Stock Exchange: sensitivity analysis and implications for weak-for," Applied Financial Economics, Taylor & Francis Journals, vol. 19(14), pages 1171-1186.
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    More about this item

    Keywords

    Market Efficiency Testing; Random Walks; Return Generating Model; Return Predictability.;
    All these keywords.

    JEL classification:

    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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