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Identification of momentum life cycle stage of stock price

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Abstract

This paper proposes the concept of “upward or downward momentum effect” and “low or high reversal effect” to revise the concept of the momentum life cycle of the stock price. Based on this, combining with the fractal fluctuation of the stock price, the “trend entropy dimension” is constructed as the measurement of the momentum life cycle stage. Also, the validity and robustness of the identification are analyzed empirically. The research shows that the trend entropy dimension can effectively identify the momentum life cycle stage, and it is robust. The results not only help to deepen the theoretical study of momentum life cycle, but also help investors using momentum life cycle to build investment strategy.

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References

  1. Fama, E.F.: Efficient capital markets: a review of theory and empirical work. J. Finance 25(2), 383–417 (1970)

    Article  Google Scholar 

  2. Asness, C.S., Moskowitz, T.J., Pedersen, L.H.: Value and momentum everywhere. J. Finance 68(3), 929–985 (2013)

    Article  Google Scholar 

  3. DeBondt, W.F.M., Thaler, R.: Does the stock market overreact? J. Finance 40(3), 793–805 (1985)

    Article  Google Scholar 

  4. Jegadeesh, N., Titman, S.: Returns to buying winners and selling losers: implications for stock market efficiency. J. Finance 48(1), 65–91 (1993)

    Article  Google Scholar 

  5. Ahmed, W.M.A.: The trading patterns and performance of individual vis-à-vis institutional investors in the Qatar exchange. Rev. Account. Finance 13(1), 24–42 (2014)

    Article  Google Scholar 

  6. Bart, F., La, Q., Tourani-Rad, A.: Institutional trading and stock returns: evidence from China. Rev. Pac. Basin Financ. Mark. Polic. 17(1), 39–54 (2014)

    Google Scholar 

  7. Nnadi, M., Tanna, S.: Accounting analyses of momentum and contrarian strategies in emerging markets. Asia Pac. J. Account. Econ. 24(1), 1–21 (2017)

    Google Scholar 

  8. Khan, M.S.R., Rabbani, N.: Momentum in stock returns: evidence from an emerging stock market. Macroecon. Finance Emerg. Mark. Econ. 10(2), 191–204 (2017)

    Google Scholar 

  9. Franck, A., Walter, A., Witt, J.F.: Momentum strategies of German mutual funds. Fin. Mark. Portf. Manag. 27(3), 307–332 (2013)

    Article  Google Scholar 

  10. Galariotis, E.C.: Contrarian and momentum trading: a review of the literature. Rev. Behav. Finance 6(1), 63–82 (2014)

    Article  Google Scholar 

  11. Daniel, K., Moskowitz, T.J.: Momentum crashes. J. Financ. Econ. 122(2), 221–247 (2016)

    Article  Google Scholar 

  12. Andrei, D., Cujean, J.: Information percolation, momentum and reversal. J. Financ. Econ. 123(1), 1–29 (2017)

    Article  Google Scholar 

  13. Bernstein, R.: The earning expectation life cycle. Financ. Anal. J. 49(2), 90–93 (1993)

    Article  Google Scholar 

  14. Barroso, P., Clara, P.S.: Momentum has its moments. J. Financ. Econ. 116(1), 111–120 (2015)

    Article  Google Scholar 

  15. Grobys, K.: Another look at momentum crashes: momentum in the European Monetary Union. Appl. Econ. 48(19), 1759–1766 (2016)

    Article  Google Scholar 

  16. Grobys, K.: Momentum crash, credit risk and optionality effects in bear markets and crisis periods: evidence from the US stock market. Appl. Econ. Lett. 24(6), 387–391 (2017)

    Article  Google Scholar 

  17. Booth, G.G., Fung, H.G., Leung, W.K.: A risk-return explanation of the momentum-reversal “anomaly”. J. Emp. Finance 35(1), 68–77 (2016)

    Article  Google Scholar 

  18. Grobys, K., Haga, J.: Are momentum crashes pervasive regardless of strategy? evidence from the foreign exchange market. Appl. Econ. Lett. 24(20), 1499–1503 (2017)

    Article  Google Scholar 

  19. Bhattacharya, D., Li, W.H., Sonaer, G.: Has momentum lost its momentum? Rev. Quant. Finance Account. 48(1), 191–218 (2017)

    Article  Google Scholar 

  20. Cont, R.: Empirical properties of assets returns: stylized facts and statistical issues. Quant. Finance 1(2), 223–236 (2001)

    Article  Google Scholar 

  21. Cheng, W.H., Hung, J.C.: Skewness and leptokurtosis in GARCH-typed VaR estimation of petroleum and metal asset returns. J. Emp. Finance 18(2), 160–173 (2011)

    Article  Google Scholar 

  22. Xi, J., He, M., Liu, H., Zheng, J.: Admissible output consensualization control for singular multi-agent systems with time delays. J. Frankl. Inst. 353(16), 4074–4090 (2016)

    Article  MathSciNet  Google Scholar 

  23. Jacobs, B.I., Levy, K.N.: The complexity of the stock market. J. Portf. Manag. 16(1), 19–27 (2016)

    Article  Google Scholar 

  24. Xi, J., Fan, Z., Liu, H., Zheng, T.: Guaranteed-cost consensus for multiagent networks with Lipschitz nonlinear dynamics and switching topologies. Int. J. Robust Nonlinear Control 28(7), 2841–2852 (2018)

    Article  MathSciNet  Google Scholar 

  25. Mandelbrot, B.B.: A multifractal walk down. Sci. Am. 280(2), 70–73 (1999)

    Article  Google Scholar 

  26. Zunino, L., Tabak, B.M., Figlioa, A., Pérez, D.G., Garavaglia, M., Rosso, O.A.: A multifractal approach for stock market inefficiency. Physica A Stat. Mech. Appl. 387(26), 6558–6566 (2008)

    Article  Google Scholar 

  27. Wu, X., Song, G.H., Deng, Y., Xu, L.: Study on conversion between momentum and contrarian based on fractal game. Fractals: Complex Geom. Patterns Scaling Nat. Soc. 23(3), 1–10 (2015)

    Article  MathSciNet  Google Scholar 

  28. Mandelbrot, B.B.: Three fractal models in finance: discontinuity, concentration, risk. Econ. Notes 26(2), 197–212 (1997)

    Google Scholar 

  29. Lux, T., Alfarano, S.: Financial power laws: empirical evidence, models, and mechanisms. Chaos Solitons Fractals 88(7), 3–18 (2016)

    Article  MathSciNet  Google Scholar 

  30. Wei, Y., Wang, Y., Huang, D.S.: A copula-multifractal volatility hedging model for CSI 300 index futures. Physica A Stat. Mech. Appl. 390(23), 4260–4272 (2011)

    Article  Google Scholar 

  31. Domański, P.D., Ławryńczuk, M.: Assessment of predictive control performance using fractal measures. Nonlinear Dyn. 89(2), 773–790 (2017)

    Article  Google Scholar 

  32. Shyu, K.K., Wu, Y.T., Chen, T.R., Chen, H.Y., Hu, H.H., Guo, W.Y.: Analysis of fetal cortical complexity from MR images using 3D entropy based information fractal dimension. Nonlinear Dyn. 61(3), 363–372 (2010)

    Article  Google Scholar 

  33. Duncan, T.E., Hu, Y., Pasik-Duncan, B.: Stochastic calculus for fractional Brownian motion I. Theory. SIAM J. Control Optim. 38(2), 582–612 (2000)

    Article  MathSciNet  Google Scholar 

  34. Gneiting, T., Schlather, M.: Stochastic models that separate fractal dimension and the Hurst effect. SIAM Rev. 46(2), 269–282 (2004)

    Article  MathSciNet  Google Scholar 

  35. Bouligand, G.: Ensembles impropres et nombre dimensionnel. Bull. Math. Sci. 52(3), 361–376 (1928)

    MATH  Google Scholar 

  36. Olson, E.: Bouligand dimension and almost Lipschitz embeddings. Pac. J. Math. 202(2), 459–474 (2002)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work is supported by the Ministry of Education in China Project of Humanities and Social Sciences (17YJC790168), National Natural Science Foundation of China (71771032, 71501018), National Social Science Foundation of China (17BJY188), Soft Science Research Plan Project of Sichuan Province (2017ZR0205), and Construction Plan of Scientific Research and Innovation Team of Provincial Universities in Sichuan Province (18TD0016).

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Correspondence to Xu Wu.

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Wu, X., Chun, W., Lin, Y. et al. Identification of momentum life cycle stage of stock price. Nonlinear Dyn 94, 249–260 (2018). https://doi.org/10.1007/s11071-018-4356-1

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  • DOI: https://doi.org/10.1007/s11071-018-4356-1

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