IDEAS home Printed from https://ideas.repec.org/p/koe/wpaper/1637.html
   My bibliography  Save this paper

Relume: A fractal analysis for the US stock market

Author

Listed:
  • Taro Ikeda

    (Graduate School of Economics, Kobe University)

Abstract

This note relumes fractal analysis on macroeconomics. We present a fractal market hypothesis for US stock prices.

Suggested Citation

  • Taro Ikeda, 2016. "Relume: A fractal analysis for the US stock market," Discussion Papers 1637, Graduate School of Economics, Kobe University.
    • Handle: RePEc:koe:wpaper:1637
    as

    Download full text from publisher

    File URL: http://www.econ.kobe-u.ac.jp/RePEc/koe/wpaper/2016/1637.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Branch, William A. & Evans, George W., 2013. "Bubbles, crashes and risk," Economics Letters, Elsevier, vol. 120(2), pages 254-258.
    2. William A. Branch & George W. Evans, 2011. "Learning about Risk and Return: A Simple Model of Bubbles and Crashes," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 159-191, July.
    3. Mandelbrot, Benoit B, 1971. "When Can Price Be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models," The Review of Economics and Statistics, MIT Press, vol. 53(3), pages 225-236, August.
    4. Branch, William A. & Evans, George W., 2013. "Bubbles, crashes and risk," Economics Letters, Elsevier, vol. 120(2), pages 254-258.
    5. Branch, William A. & McGough, Bruce, 2010. "Dynamic predictor selection in a new Keynesian model with heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 34(8), pages 1492-1508, August.
    6. Booth, G. Geoffrey & Kaen, Fred R. & Koveos, Peter E., 1982. "R/S analysis of foreign exchange rates under two international monetary regimes," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 407-415.
    7. Rachel E. S. Ziemba & William T. Ziemba, 2013. "Bubbles," World Scientific Book Chapters, in: Investing in the Modern Age, chapter 28, pages 379-386, World Scientific Publishing Co. Pte. Ltd..
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Taro Ikeda, 2016. "A fractal analysis of US industrial sector stocks," Discussion Papers 1643, Graduate School of Economics, Kobe University.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:kob:wpaper:1637 is not listed on IDEAS
    2. Herrera Luis & Vázquez Jesús, 2023. "Interpreting Structural Shocks and Assessing Their Historical Importance," The B.E. Journal of Macroeconomics, De Gruyter, vol. 23(1), pages 375-425, January.
    3. Zhu, Xiaoneng, 2013. "Perpetual learning and stock return predictability," Economics Letters, Elsevier, vol. 121(1), pages 19-22.
    4. Batten, Jonathan & Ellis, Craig & Fetherston, Thomas A., 2000. "Are long-term return anomalies illusions?: Evidence from the spot Yen," Japan and the World Economy, Elsevier, vol. 12(4), pages 337-349, December.
    5. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
    6. Hommes, Cars, 2018. "Behavioral & experimental macroeconomics and policy analysis: a complex systems approach," Working Paper Series 2201, European Central Bank.
    7. Batten, Jonathan & Ellis, Craig, 1996. "Fractal structures and naive trading systems: Evidence from the spot US dollar/Japanese yen," Japan and the World Economy, Elsevier, vol. 8(4), pages 411-421, December.
    8. Hiemstra, Craig & Jones, Jonathan D., 1997. "Another look at long memory in common stock returns," Journal of Empirical Finance, Elsevier, vol. 4(4), pages 373-401, December.
    9. Christian de Peretti, 2003. "Bilateral Bootstrap Tests for Long Memory: An Application to the Silver Market," Computational Economics, Springer;Society for Computational Economics, vol. 22(2), pages 187-212, October.
    10. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    11. Mynhardt, H. R. & Plastun, Alex & Makarenko, Inna, 2014. "Behavior of Financial Markets Efficiency During the Financial Market Crisis: 2007-2009," MPRA Paper 58942, University Library of Munich, Germany.
    12. Kurz-Kim, Jeong-Ryeol, 2016. "Black Monday, globalization and trading behavior of stock investors," Discussion Papers 18/2016, Deutsche Bundesbank.
    13. Guharay, Samar K. & Thakur, Gaurav S. & Goodman, Fred J. & Rosen, Scott L. & Houser, Daniel, 2013. "Analysis of non-stationary dynamics in the financial system," Economics Letters, Elsevier, vol. 121(3), pages 454-457.
    14. Kuang, Pei, 2014. "A model of housing and credit cycles with imperfect market knowledge," European Economic Review, Elsevier, vol. 70(C), pages 419-437.
    15. Turvey, Calum G., 2001. "Random Walks And Fractal Structures In Agricultural Commodity Futures Prices," Working Papers 34151, University of Guelph, Department of Food, Agricultural and Resource Economics.
    16. Chen, Cathy W.S. & Gerlach, Richard & Hwang, Bruce B.K. & McAleer, Michael, 2012. "Forecasting Value-at-Risk using nonlinear regression quantiles and the intra-day range," International Journal of Forecasting, Elsevier, vol. 28(3), pages 557-574.
    17. Uribe, Jorge & Fernández, Julián, 2014. "Burbujas financieras y comportamiento reciente de los mercados de acciones en América Latina," Revista Lecturas de Economía, Universidad de Antioquia, CIE, issue 81, pages 57-90, April.
    18. Jiang, Yonghong & Nie, He & Ruan, Weihua, 2018. "Time-varying long-term memory in Bitcoin market," Finance Research Letters, Elsevier, vol. 25(C), pages 280-284.
    19. Erhard Reschenhofer & Manveer K. Mangat, 2021. "Fast computation and practical use of amplitudes at non-Fourier frequencies," Computational Statistics, Springer, vol. 36(3), pages 1755-1773, September.
    20. Hommes, C.H. & Lustenhouwer, J., 2016. "Managing Heterogeneous and Unanchored Expectations: A Monetary Policy Analysis," CeNDEF Working Papers 16-01, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    21. Geoffrey Ngene & Ann Nduati Mungai & Allen K. Lynch, 2018. "Long-Term Dependency Structure and Structural Breaks: Evidence from the U.S. Sector Returns and Volatility," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 1-38, June.

    More about this item

    Keywords

    Fractal geometry; Hurst exponent; market efficiency; chaos;
    All these keywords.

    JEL classification:

    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • E39 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Other
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:koe:wpaper:1637. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kimiaki Shirahama (email available below). General contact details of provider: https://edirc.repec.org/data/fekobjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.