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Lead–Lag Relationship Using a Stop-and-Reverse-MinMax Process

Listed author(s):
  • Stanislaus Maier-Paape

    ()

    (Institut für Mathematik, RWTH Aachen, Templergraben 55, D-52062 Aachen, Germany
    These authors contributed equally to this work.)

  • Andreas Platen

    ()

    (Institut für Mathematik, RWTH Aachen, Templergraben 55, D-52062 Aachen, Germany
    These authors contributed equally to this work.)

Registered author(s):

    The intermarket analysis, in particular the lead–lag relationship, plays an important role within financial markets. Therefore, a mathematical approach to be able to find interrelations between the price development of two different financial instruments is developed in this paper. Computing the differences of the relative positions of relevant local extrema of two charts, i.e., the local phase shifts of these price developments, gives us an empirical distribution on the unit circle. With the aid of directional statistics, such angular distributions are studied for many pairs of markets. It is shown that there are several very strongly correlated financial instruments in the field of foreign exchange, commodities and indexes. In some cases, one of the two markets is significantly ahead with respect to the relevant local extrema, i.e., there is a phase shift unequal to zero between them.

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    Article provided by MDPI, Open Access Journal in its journal Risks.

    Volume (Year): 4 (2016)
    Issue (Month): 3 (July)
    Pages: 1-20

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    Handle: RePEc:gam:jrisks:v:4:y:2016:i:3:p:27-:d:73452
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    1. Silvo Dajčman, 2013. "Interdependence Between Some Major European Stock Markets - A Wavelet Lead/Lag Analysis," Prague Economic Papers, University of Economics, Prague, vol. 2013(1), pages 28-49.
    2. Kim, Sangbae & In, Francis, 2005. "The relationship between stock returns and inflation: new evidence from wavelet analysis," Journal of Empirical Finance, Elsevier, vol. 12(3), pages 435-444, June.
    3. Garcia, René & Tsafack, Georges, 2011. "Dependence structure and extreme comovements in international equity and bond markets," Journal of Banking & Finance, Elsevier, vol. 35(8), pages 1954-1970, August.
    4. Ramsey, James B. & Lampart, Camille, 1998. "Decomposition Of Economic Relationships By Timescale Using Wavelets," Macroeconomic Dynamics, Cambridge University Press, vol. 2(01), pages 49-71, March.
    5. Frank De Jong & Monique W. M. Donders, 1998. "Intraday Lead-Lag Relationships Between the Futures-, Options and Stock Market," Review of Finance, European Finance Association, vol. 1(3), pages 337-359.
    6. Gençay, Ramazan & Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon J., 2001. "An Introduction to Wavelets and Other Filtering Methods in Finance and Economics," Elsevier Monographs, Elsevier, edition 1, number 9780122796708.
    7. Francis In & Sangbae Kim, 2006. "The Hedge Ratio and the Empirical Relationship between the Stock and Futures Markets: A New Approach Using Wavelet Analysis," The Journal of Business, University of Chicago Press, vol. 79(2), pages 799-820, March.
    8. Berens, Philipp, 2009. "CircStat: A MATLAB Toolbox for Circular Statistics," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i10).
    9. de Jong, Frank & Nijman, Theo, 1997. "High frequency analysis of lead-lag relationships between financial markets," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 259-277, June.
    10. Kristin J. Forbes & Roberto Rigobon, 2002. "No Contagion, Only Interdependence: Measuring Stock Market Comovements," Journal of Finance, American Finance Association, vol. 57(5), pages 2223-2261, October.
    11. Paweł Fiedor, 2014. "Information-theoretic approach to lead-lag effect on financial markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(8), pages 1-9, August.
    12. Stoll, Hans R. & Whaley, Robert E., 1990. "The Dynamics of Stock Index and Stock Index Futures Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(04), pages 441-468, December.
    13. Iwaisako, Tokuo, 2007. "Stock Index Autocorrelation and Cross-autocorrelations of Size-sorted Portfolios in the Japanese Market," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 48(1), pages 95-112, June.
    14. Chan, Kalok, 1993. " Imperfect Information and Cross-Autocorrelation among Stock Prices," Journal of Finance, American Finance Association, vol. 48(4), pages 1211-1230, September.
    15. Nijman, T.E. & de Jong, F.C.J.M., 1997. "High frequency analysis of lead-lag relationships between financial markets," Other publications TiSEM f4f406a0-771a-4af2-9364-6, Tilburg University, School of Economics and Management.
    16. Stanislaus Maier-Paape, 2015. "Automatic one two three," Quantitative Finance, Taylor & Francis Journals, vol. 15(2), pages 247-260, February.
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