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Restoring Corrupted Cross-Recurrence Plots Using Matrix Completion: Application on the Time-Synchronization Between Market and Volatility Indexes

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Recurrence Plots and Their Quantifications: Expanding Horizons

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 180))

Abstract

The success of a trading strategy can be significantly enhanced by tracking accurately the implied volatility changes, which refers to the amount of uncertainty or risk about the degree of changes in a market index. This fosters the need for accurate estimation of the time-synchronization profile between a given market index and its associated volatility index. In this chapter, we advance existing solutions, which are based widely on the typical correlation, for identifying this temporal interdependence. To this end, cross-recurrence plot (CRP) analysis is exploited for extracting the underlying dynamics of a given market and volatility indexes pair, along with their time-synchronization profile. However, CRPs of degraded quality, for instance due to missing information, may yield a completely erroneous estimation of this profile. To overcome this drawback, a restoration stage based on the concept of matrix completion is applied on a corrupted CRP prior to the estimation of the time-synchronization relationship. A performance evaluation on the S&P 500 index and its associated VIX volatility index reveals the superior capability of our proposed approach in restoring accurately their CRP and subsequently estimating a temporal relation between the two indexes even when \(80\,\%\) of CRP values are missing.

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Notes

  1. 1.

    A put option gives the purchaser the right, but not the obligation, to sell a security for a specified price at a certain time. A call option is a right to buy the same.

  2. 2.

    http://us.spindices.com/indices/equity/sp-500.

  3. 3.

    http://www.cboe.com/micro/vix/historical.aspx.

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Author information

Authors and Affiliations

  1. EONOS Investment Technologies, Paris, France

    George Tzagkarakis

  2. ADVENIS Investment Managers, Paris, France

    Thomas Dionysopoulos

  3. AXIANTA Research, Nicosia, Cyprus

    Thomas Dionysopoulos

Authors
  1. George Tzagkarakis
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  2. Thomas Dionysopoulos
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Corresponding author

Correspondence to George Tzagkarakis .

Editor information

Editors and Affiliations

  1. Dept. of Cell and Molecular Physiology, Loyola University Chicago, Maywood, Illinois, USA

    Charles L. Webber, Jr.

  2. GIPSA-Lab, University Grenoble Alpes, Grenoble, France

    Cornel Ioana

  3. Potsdam Ins. for Climate Impact Research, Potsdam, Germany

    Norbert Marwan

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Tzagkarakis, G., Dionysopoulos, T. (2016). Restoring Corrupted Cross-Recurrence Plots Using Matrix Completion: Application on the Time-Synchronization Between Market and Volatility Indexes. In: Webber, Jr., C., Ioana, C., Marwan, N. (eds) Recurrence Plots and Their Quantifications: Expanding Horizons. Springer Proceedings in Physics, vol 180. Springer, Cham. https://doi.org/10.1007/978-3-319-29922-8_13

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