IDEAS home Printed from https://ideas.repec.org/a/wly/jforec/v45y2026i3p1110-1128.html

Combined Effects of Fat‐Tail and Spread Forecasting on Pairs Trading: A Hybrid Model Based on Integrating VAR With GRU Models

Author

Listed:
  • Yuhee Kwon
  • Youngsoo Choi

Abstract

Pairs trading, a popular algorithmic trading strategy, exploits the short‐term price difference (spread) between two comoving assets. Empirically, the spread distribution of most assets in pairs trading has a fat‐tail characteristic that does not follow a normal distribution. However, existing trading strategies did not consider these characteristics and attempted to improve performance by applying complex machine learning techniques. This paper targets cryptocurrency assets that show the fat‐tail characteristics of the spread distribution well due to their high volatility and presents a new hybrid model that can solve these characteristics in machine learning, namely, VAR‐GRU‐QT (Vector AutoRegression–Gated Recurrent Unit–Quantile Transform). The VAR‐GRU model is proposed for spread prediction, whereas the QT‐based pair trading strategy seeks to capture trading signals. The empirical analysis results show that the VAR‐GRU‐QT model improves prediction performance over the comparative model and significantly improves pairs trading performance. In addition, it was confirmed that as the threshold of the trading signal increases, the fat‐tail effect appears more prominently in the hybrid model. In conclusion, by considering the non‐Gaussian distribution of the spread, the prediction accuracy of the hybrid model is improved, and by additionally applying the quantile‐based trading methodology, the trading performance of the pair trading strategy is significantly improved over the comparative model.

Suggested Citation

  • Yuhee Kwon & Youngsoo Choi, 2026. "Combined Effects of Fat‐Tail and Spread Forecasting on Pairs Trading: A Hybrid Model Based on Integrating VAR With GRU Models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 45(3), pages 1110-1128, April.
  • Handle: RePEc:wly:jforec:v:45:y:2026:i:3:p:1110-1128
    DOI: 10.1002/for.70074
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/for.70074
    Download Restriction: no

    File URL: https://libkey.io/10.1002/for.70074?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Carlos Trucíos & James W. Taylor, 2023. "A comparison of methods for forecasting value at risk and expected shortfall of cryptocurrencies," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 42(4), pages 989-1007, July.
    2. Mengxi He & Xianfeng Hao & Yaojie Zhang & Fanyi Meng, 2021. "Forecasting stock return volatility using a robust regression model," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 40(8), pages 1463-1478, December.
    3. Thomas Dimpfl & Dalia Elshiaty, 2021. "Volatility discovery in cryptocurrency markets," Journal of Risk Finance, Emerald Group Publishing Limited, vol. 22(5), pages 313-331, September.
    4. Chen, Cathy W.S. & Wang, Zona & Sriboonchitta, Songsak & Lee, Sangyeol, 2017. "Pair trading based on quantile forecasting of smooth transition GARCH models," The North American Journal of Economics and Finance, Elsevier, vol. 39(C), pages 38-55.
    5. Weiqian Zhang & Songsong Li & Zhichang Guo & Yizhe Yang, 2023. "A hybrid forecasting model based on deep learning feature extraction and statistical arbitrage methods for stock trading strategies," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 42(7), pages 1729-1749, November.
    6. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    7. Evan Gatev & William N. Goetzmann & K. Geert Rouwenhorst, 2006. "Pairs Trading: Performance of a Relative-Value Arbitrage Rule," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 797-827.
    8. R. Scott Hacker & Abdulnasser Hatemi-J, 2008. "Optimal lag-length choice in stable and unstable VAR models under situations of homoscedasticity and ARCH," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(6), pages 601-615.
    9. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    10. Eric Zivot & Jiahui Wang, 2006. "Modeling Financial Time Series with S-PLUS®," Springer Books, Springer, edition 0, number 978-0-387-32348-0, January.
    11. Pai, Ping-Feng & Lin, Chih-Sheng, 2005. "A hybrid ARIMA and support vector machines model in stock price forecasting," Omega, Elsevier, vol. 33(6), pages 497-505, December.
    12. Christopher Krauss, 2017. "Statistical Arbitrage Pairs Trading Strategies: Review And Outlook," Journal of Economic Surveys, Wiley Blackwell, vol. 31(2), pages 513-545, April.
    13. Gongyue Jiang & Gaoxiu Qiao & Lu Wang & Feng Ma, 2024. "Hybrid forecasting of crude oil volatility index: The cross‐market effects of stock market jumps," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 43(6), pages 2378-2398, September.
    14. Renu Saraswat & Ajit Kumar, 2025. "Stock Price Forecasting With Integration of Sectoral Behavior: A Deep Auto‐Optimized Multimodal Framework," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 44(5), pages 1767-1784, August.
    15. Isabela Ruiz Roque da Silva & Eli Hadad Junior & Pedro Paulo Balbi, 2022. "Cryptocurrencies trading algorithms: A review," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 41(8), pages 1661-1668, December.
    Full references (including those not matched with items on IDEAS)

    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. Lin, Tsai-Yu & Chen, Cathy W.S. & Syu, Fong-Yi, 2021. "Multi-asset pair-trading strategy: A statistical learning approach," The North American Journal of Economics and Finance, Elsevier, vol. 55(C).
    2. Flori, Andrea & Regoli, Daniele, 2021. "Revealing Pairs-trading opportunities with long short-term memory networks," European Journal of Operational Research, Elsevier, vol. 295(2), pages 772-791.
    3. Eric Vansteenberghe, 2026. "Quantitative Methods in Finance," Papers 2601.12896, arXiv.org, revised Mar 2026.
    4. Sascha Wilkens, 2025. "Pairs trading in the German stock market: is there still life in the old dog?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 39(2), pages 259-297, June.
    5. Sager, Michael & Taylor, Mark P., 2014. "Generating currency trading rules from the term structure of forward foreign exchange premia," Journal of International Money and Finance, Elsevier, vol. 44(C), pages 230-250.
    6. Pär Österholm, 2005. "The Taylor Rule: A Spurious Regression?," Bulletin of Economic Research, Wiley Blackwell, vol. 57(3), pages 217-247, July.
    7. Bruno Breyer Caldas & João Frois Caldeira & Guilherme Vale Moura, 2016. "Is Pairs Trading Performance Sensitive To The Methodologies?: A Comparison," Anais do XLII Encontro Nacional de Economia [Proceedings of the 42nd Brazilian Economics Meeting] 130, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    8. repec:cam:camjip:2506 is not listed on IDEAS
    9. Allison Zhou & Carl Bonham & Byron Gangnes, 2007. "Modeling the supply and demand for tourism: a fully identified VECM approach," Working Papers 200717, University of Hawaii at Manoa, Department of Economics.
    10. Wang, Jai-Jen & Lee, Jin-Ping & Zhao, Yang, 2018. "Pair-trading profitability and short-selling restriction: Evidence from the Taiwan stock market," International Review of Economics & Finance, Elsevier, vol. 55(C), pages 173-184.
    11. Michael Curran & Patrick O'Sullivan & Ryan Zalla, 2020. "Can Volatility Solve the Naive Portfolio Puzzle?," Papers 2005.03204, arXiv.org, revised Feb 2022.
    12. He, Mengxi & Wen, Danyan & Xing, Lu & Zhang, Yaojie, 2024. "Industry volatility concentration and the predictability of aggregate stock market volatility," International Review of Economics & Finance, Elsevier, vol. 95(C).
    13. Niels Haldrup & Carsten P. T. Rosenskjold, 2019. "A Parametric Factor Model of the Term Structure of Mortality," Econometrics, MDPI, vol. 7(1), pages 1-22, March.
    14. Rapach, David E. & Wohar, Mark E., 2002. "Testing the monetary model of exchange rate determination: new evidence from a century of data," Journal of International Economics, Elsevier, vol. 58(2), pages 359-385, December.
    15. Fenghui Yu & Wai-Ki Ching & Chufang Wu & Jia-Wen Gu, 2023. "Optimal Pairs Trading Strategies: A Stochastic Mean–Variance Approach," Journal of Optimization Theory and Applications, Springer, vol. 196(1), pages 36-55, January.
    16. Ziping Zhao & Rui Zhou & Zhongju Wang & Daniel P. Palomar, 2018. "Optimal Portfolio Design for Statistical Arbitrage in Finance," Papers 1803.02974, arXiv.org.
    17. Bekiros, Stelios & Marcellino, Massimiliano, 2013. "The multiscale causal dynamics of foreign exchange markets," Journal of International Money and Finance, Elsevier, vol. 33(C), pages 282-305.
    18. Manahov, Viktor & Hudson, Robert & Gebka, Bartosz, 2014. "Does high frequency trading affect technical analysis and market efficiency? And if so, how?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 28(C), pages 131-157.
    19. Kristoffer Glover & Goran Peskir, 2024. "Quickest Detection Problems for Ornstein–Uhlenbeck Processes," Mathematics of Operations Research, INFORMS, vol. 49(2), pages 1045-1064, May.
    20. Andreas Mikkelsen, 2018. "Pairs trading: the case of Norwegian seafood companies," Applied Economics, Taylor & Francis Journals, vol. 50(3), pages 303-318, January.
    21. Norman Swanson & Nii Ayi Armah, 2006. "Predictive Inference Under Model Misspecification with an Application to Assessing the Marginal Predictive Content of Money for Output," Departmental Working Papers 200619, Rutgers University, Department of Economics.

    More about this item

    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:wly:jforec:v:45:y:2026:i:3:p:1110-1128. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www3.interscience.wiley.com/cgi-bin/jhome/2966 .

    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.