IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i6p598-d514843.html
   My bibliography  Save this article

Volatility Co-Movement in Stock Markets

Author

Listed:
  • María Nieves López-García

    (Department of Economics and Business, University of Almería, 04120 Almería, Spain
    These authors contributed equally to this work.)

  • Miguel Angel Sánchez-Granero

    (Department of Mathematics, University of Almería, 04120 Almería, Spain
    These authors contributed equally to this work.)

  • Juan Evangelista Trinidad-Segovia

    (Department of Economics and Business, University of Almería, 04120 Almería, Spain
    These authors contributed equally to this work.)

  • Antonio Manuel Puertas

    (Department of Chemistry and Physics, University of Almería, 04120 Almería, Spain
    These authors contributed equally to this work.)

  • Francisco Javier De las Nieves

    (Department of Chemistry and Physics, University of Almería, 04120 Almería, Spain
    These authors contributed equally to this work.)

Abstract

The volatility and log-price collective movements among stocks of a given market are studied in this work using co-movement functions inspired by similar functions in the physics of many-body systems, where the collective motions are a signal of structural rearrangement. This methodology is aimed to identify the cause of coherent changes in volatility or price. The function is calculated using the product of the variations in volatility (or price) of a pair of stocks, averaged over all pair particles. In addition to the global volatility co-movement, its distribution according to the volatility of the stocks is also studied. We find that stocks with similar volatility tend to have a greater co-movement than stocks with dissimilar volatility, with a general decrease in co-movement with increasing volatility. On the other hand, when the average volatility (or log-price) is subtracted from the stock volatility (or log-price), the co-movement decreases notably and becomes almost zero. This result, interpreted within the background of many body physics, allows us to identify the index motion as the main source for the co-movement. Finally, we confirm that during crisis periods, the volatility and log-price co-movement are much higher than in calmer periods.

Suggested Citation

  • María Nieves López-García & Miguel Angel Sánchez-Granero & Juan Evangelista Trinidad-Segovia & Antonio Manuel Puertas & Francisco Javier De las Nieves, 2021. "Volatility Co-Movement in Stock Markets," Mathematics, MDPI, vol. 9(6), pages 1-19, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:598-:d:514843
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/6/598/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/6/598/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jie-Jun Tseng & Sai-Ping Li, 2010. "Asset returns and volatility clustering in financial time series," Papers 1002.0284, arXiv.org, revised Apr 2011.
    2. Calvet, Laurent E. & Fisher, Adlai J. & Thompson, Samuel B., 2006. "Volatility comovement: a multifrequency approach," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 179-215.
    3. Jinghui Chen & Masahito Kobayashi & Michael McAleer, 2017. "Testing for volatility co-movement in bivariate stochastic volatility models," Documentos de Trabajo del ICAE 2017-10, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    4. Byrne, Joseph P. & Cao, Shuo & Korobilis, Dimitris, 2019. "Decomposing global yield curve co-movement," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 500-513.
    5. Susmel, Raul & Engle, Robert F., 1994. "Hourly volatility spillovers between international equity markets," Journal of International Money and Finance, Elsevier, vol. 13(1), pages 3-25, February.
    6. Eduardo Dávila & Cecilia Parlatore, 2021. "Trading Costs and Informational Efficiency," Journal of Finance, American Finance Association, vol. 76(3), pages 1471-1539, June.
    7. Gema Fernández-Avilés & José-María Montero & Lidia Sanchis-Marco, 2020. "Extreme downside risk co-movement in commodity markets during distress periods: a multidimensional scaling approach," The European Journal of Finance, Taylor & Francis Journals, vol. 26(12), pages 1207-1237, August.
    8. Tseng, Jie-Jun & Li, Sai-Ping, 2011. "Asset returns and volatility clustering in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1300-1314.
    9. Trinidad Segovia, J.E. & Fernández-Martínez, M. & Sánchez-Granero, M.A., 2019. "A novel approach to detect volatility clusters in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    10. Qiao, Xingzhi & Zhu, Huiming & Hau, Liya, 2020. "Time-frequency co-movement of cryptocurrency return and volatility: Evidence from wavelet coherence analysis," International Review of Financial Analysis, Elsevier, vol. 71(C).
    11. Fleming, Jeff & Kirby, Chris & Ostdiek, Barbara, 1998. "Information and volatility linkages in the stock, bond, and money markets," Journal of Financial Economics, Elsevier, vol. 49(1), pages 111-137, July.
    12. Yoshihiro Yura & Hideki Takayasu & Didier Sornette & Misako Takayasu, 2014. "Financial Brownian particle in the layered order book fluid and Fluctuation-Dissipation relations," Papers 1401.8065, arXiv.org.
    13. Katsiampa, Paraskevi, 2019. "Volatility co-movement between Bitcoin and Ether," Finance Research Letters, Elsevier, vol. 30(C), pages 221-227.
    14. Domowitz, Ian & Hansch, Oliver & Wang, Xiaoxin, 2005. "Liquidity commonality and return co-movement," Journal of Financial Markets, Elsevier, vol. 8(4), pages 351-376, November.
    15. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
    16. Zhiguang (Gerald) Wang, 2009. "Volatility Risk," Issue Briefs 2009513, South Dakota State University, Department of Economics.
    17. López-García, M.N. & Trinidad-Segovia, J.E. & Sánchez-Granero, M.A. & Pouchkarev, I., 2021. "Extending the Fama and French model with a long term memory factor," European Journal of Operational Research, Elsevier, vol. 291(2), pages 421-426.
    18. Hamao, Yasushi & Masulis, Ronald W & Ng, Victor, 1990. "Correlations in Price Changes and Volatility across International Stock Markets," The Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 281-307.
    19. Liu, Xueyong & Jiang, Cheng, 2020. "The dynamic volatility transmission in the multiscale spillover network of the international stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    20. Jondeau, Eric & Rockinger, Michael, 2003. "Conditional volatility, skewness, and kurtosis: existence, persistence, and comovements," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1699-1737, August.
    21. Bašta, Milan & Molnár, Peter, 2018. "Oil market volatility and stock market volatility," Finance Research Letters, Elsevier, vol. 26(C), pages 204-214.
    22. Sebastian Edwards & Raul Susmel, 2003. "Interest-Rate Volatility in Emerging Markets," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 328-348, May.
    23. Sang Jin Lee, 2009. "Volatility spillover effects amongsix Asian countries," Applied Economics Letters, Taylor & Francis Journals, vol. 16(5), pages 501-508.
    24. M A Sánchez-Granero & J E Trinidad-Segovia & J Clara-Rahola & A M Puertas & F J De las Nieves, 2017. "A model for foreign exchange markets based on glassy Brownian systems," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-22, December.
    25. Huang, Wei-Qiang & Wang, Dan, 2018. "Systemic importance analysis of chinese financial institutions based on volatility spillover network," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 19-30.
    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. Ho, Kung-Cheng & Yao, Chia-ling & Zhao, Chenfang & Pan, Zikui, 2022. "Modern health pandemic crises and stock price crash risk," Economic Analysis and Policy, Elsevier, vol. 74(C), pages 448-463.

    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. Fiona Tregenna & Kabeya C. Mulamba, 2019. "Spatial dependence of per capita property tax income in South Africa," Working Papers 202, Economic Research Southern Africa.
    2. Jondeau, Eric & Rockinger, Michael, 2006. "The Copula-GARCH model of conditional dependencies: An international stock market application," Journal of International Money and Finance, Elsevier, vol. 25(5), pages 827-853, August.
    3. Hou, Yang (Greg) & Li, Steven, 2020. "Volatility and skewness spillover between stock index and stock index futures markets during a crash period: New evidence from China," International Review of Economics & Finance, Elsevier, vol. 66(C), pages 166-188.
    4. Aymen Ben Rejeb & Adel Boughrara, 2015. "Financial integration in emerging market economies: Effects on volatility transmission and contagion," Borsa Istanbul Review, Research and Business Development Department, Borsa Istanbul, vol. 15(3), pages 161-179, September.
    5. P. Hartmann & S. Straetmans & C. G. de Vries, 2004. "Asset Market Linkages in Crisis Periods," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 313-326, February.
    6. Jaehun Chung & Yongmiao Hong, 2007. "Model-free evaluation of directional predictability in foreign exchange markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(5), pages 855-889.
    7. Prasad, Nalin & Grant, Andrew & Kim, Suk-Joong, 2018. "Time varying volatility indices and their determinants: Evidence from developed and emerging stock markets," International Review of Financial Analysis, Elsevier, vol. 60(C), pages 115-126.
    8. Venelina Nikolova & Juan E. Trinidad Segovia & Manuel Fernández-Martínez & Miguel Angel Sánchez-Granero, 2020. "A Novel Methodology to Calculate the Probability of Volatility Clusters in Financial Series: An Application to Cryptocurrency Markets," Mathematics, MDPI, vol. 8(8), pages 1-15, July.
    9. Vo, Xuan Vinh & Ellis, Craig, 2018. "International financial integration: Stock return linkages and volatility transmission between Vietnam and advanced countries," Emerging Markets Review, Elsevier, vol. 36(C), pages 19-27.
    10. Jeannine Bailliu, 2000. "Private Capital Flows, Financial Development, and Economic Growth in Developing Countries," Staff Working Papers 00-16, Bank of Canada.
    11. repec:wyi:journl:002068 is not listed on IDEAS
    12. Jaehun Chung & Yongmiao Hong, 2013. "Model-Free Evaluation of Directional Predictability in Foreign Exchange," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    13. Mun, Kyung-Chun, 2005. "Contagion and impulse response of international stock markets around the 9-11 terrorist attacks," Global Finance Journal, Elsevier, vol. 16(1), pages 48-68, August.
    14. Gagnon, Louis & Karolyi, G. Andrew, 2009. "Information, Trading Volume, and International Stock Return Comovements: Evidence from Cross-Listed Stocks," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(4), pages 953-986, August.
    15. Baur, Dirk & Jung, Robert C., 2006. "Return and volatility linkages between the US and the German stock market," Journal of International Money and Finance, Elsevier, vol. 25(4), pages 598-613, June.
    16. Fung, Hung-Gay & Jang, Hoyoon & Lee, Wai, 1997. "International interest rate transmission and volatility spillover," International Review of Economics & Finance, Elsevier, vol. 6(1), pages 67-75.
    17. Gannon, Gerard L. & Thuraisamy, Kannan S., 2017. "Sovereign risk and the impact of crisis: Evidence from Latin AmericaAuthor-Name: Batten, Jonathan A," Journal of Banking & Finance, Elsevier, vol. 77(C), pages 328-350.
    18. Pastwa, Anna M. & Shrestha, Prabal & Thewissen, James & Torsin, Wouter, 2021. "Unpacking the black box of ICO white papers: a topic modeling approach," LIDAM Discussion Papers LFIN 2021018, Université catholique de Louvain, Louvain Finance (LFIN).
    19. Usman M. Umer, Metin Coskun, Kasim Kiraci, 2018. "Time-varying Return and Volatility Spillover among EAGLEs Stock Markets: A Multivariate GARCH Analysis," Journal of Finance and Economics Research, Geist Science, Iqra University, Faculty of Business Administration, vol. 3(1), pages 23-42, March.
    20. Gregory Bauer & Clara Vega, 2004. "The Monetary Origins of Asymmetric Information in International Equity Markets," Staff Working Papers 04-47, Bank of Canada.
    21. Lin Mi & Allan Hodgson, 2018. "Real estate's information and volatility links with stock, bond and money markets," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 58(S1), pages 465-491, November.

    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:gam:jmathe:v:9:y:2021:i:6:p:598-:d:514843. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.