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Nonlinear limits to arbitrage

Author

Listed:
  • Jingzhi Chen
  • Charlie X. Cai
  • Robert Faff
  • Yongcheol Shin

Abstract

We study the nonlinear limits to arbitrage in a model. When mispricing is small, arbitrage activity increases with mispricing because of the higher cost‐adjusted return. However, at high levels of mispricing, arbitrageurs are deterred by larger mispricing as funding constraints become more binding. Testing the model predictions on the index spot‐futures arbitrage with a Markov‐switching model, we document an inverse U‐shaped relationship between mispricing and arbitrage activity. The extreme regime is with the largest mispricing but least arbitrage activity, and coincides with the market turmoil, suggesting that funding constraints become the main driver behind the limit to arbitrage.

Suggested Citation

  • Jingzhi Chen & Charlie X. Cai & Robert Faff & Yongcheol Shin, 2022. "Nonlinear limits to arbitrage," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(6), pages 1084-1113, June.
  • Handle: RePEc:wly:jfutmk:v:42:y:2022:i:6:p:1084-1113
    DOI: 10.1002/fut.22320
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    References listed on IDEAS

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    1. Erik Theissen, 2012. "Price discovery in spot and futures markets: a reconsideration," The European Journal of Finance, Taylor & Francis Journals, vol. 18(10), pages 969-987, November.
    2. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
    3. Mitchell, Mark & Pulvino, Todd, 2012. "Arbitrage crashes and the speed of capital," Journal of Financial Economics, Elsevier, vol. 104(3), pages 469-490.
    4. Gromb, Denis & Vayanos, Dimitri, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 361-407.
    5. Nina Karnaukh & Angelo Ranaldo & Paul Söderlind, 2015. "Understanding FX Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 28(11), pages 3073-3108.
    6. Akbas, Ferhat & Armstrong, Will J. & Sorescu, Sorin & Subrahmanyam, Avanidhar, 2015. "Smart money, dumb money, and capital market anomalies," Journal of Financial Economics, Elsevier, vol. 118(2), pages 355-382.
    7. Juan Tao & Christopher J. Green, 2013. "Transactions Costs, Index Arbitrage And Non‐Linear Dynamics Between Ftse100 Spot And Futures: A Threshold Cointegration Analysis," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 18(2), pages 175-187, March.
    8. Richard Roll & Eduardo Schwartz & Avanidhar Subrahmanyam, 2007. "Liquidity and the Law of One Price: The Case of the Futures‐Cash Basis," Journal of Finance, American Finance Association, vol. 62(5), pages 2201-2234, October.
    9. Nicolae Gârleanu & Lasse Heje Pedersen, 2011. "Margin-based Asset Pricing and Deviations from the Law of One Price," Review of Financial Studies, Society for Financial Studies, vol. 24(6), pages 1980-2022.
    10. Frazzini, Andrea & Pedersen, Lasse Heje, 2014. "Betting against beta," Journal of Financial Economics, Elsevier, vol. 111(1), pages 1-25.
    11. Lasse Heje Pedersen & Mark Mitchell & Todd Pulvino, 2007. "Slow Moving Capital," American Economic Review, American Economic Association, vol. 97(2), pages 215-220, May.
    12. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    13. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    14. Stefan Nagel, 2012. "Evaporating Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 25(7), pages 2005-2039.
    15. Ang, Andrew & Gorovyy, Sergiy & van Inwegen, Gregory B., 2011. "Hedge fund leverage," Journal of Financial Economics, Elsevier, vol. 102(1), pages 102-126, October.
    16. Wenxin Du & Alexander Tepper & Adrien Verdelhan, 2018. "Deviations from Covered Interest Rate Parity," Journal of Finance, American Finance Association, vol. 73(3), pages 915-957, June.
    17. Charlie X. Cai & Robert Faff & Yongcheol Shin, 2018. "Noise Momentum Around the World," Abacus, Accounting Foundation, University of Sydney, vol. 54(1), pages 79-104, March.
    18. Akbas, Ferhat & Armstrong, Will J. & Sorescu, Sorin & Subrahmanyam, Avanidhar, 2016. "Capital Market Efficiency and Arbitrage Efficacy," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(2), pages 387-413, April.
    19. Olga Cielinska & Andreas Joseph & Ujwal Shreyas & John Tanner & Michalis Vasios, 2017. "Gauging market dynamics using trade repository data: The case of the Swiss franc de-pegging," IFC Bulletins chapters, in: Bank for International Settlements (ed.), Statistical implications of the new financial landscape, volume 43, Bank for International Settlements.
    20. Tse, Yiuman, 2001. "Index arbitrage with heterogeneous investors: A smooth transition error correction analysis," Journal of Banking & Finance, Elsevier, vol. 25(10), pages 1829-1855, October.
    21. Denis Gromb & Dimitri Vayanos, 2010. "Limits of Arbitrage," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 251-275, December.
    22. Darrell Duffie, 2010. "Presidential Address: Asset Price Dynamics with Slow‐Moving Capital," Journal of Finance, American Finance Association, vol. 65(4), pages 1237-1267, August.
    23. Jiro E. Kondo & Dimitris Papanikolaou, 2015. "Financial Relationships and the Limits to Arbitrage," Review of Finance, European Finance Association, vol. 19(6), pages 2095-2138.
    24. Schuster, Philipp & Uhrig-Homburg, Marliese, 2015. "Limits to arbitrage and the term structure of bond illiquidity premiums," Journal of Banking & Finance, Elsevier, vol. 57(C), pages 143-159.
    25. Gallagher, Liam A & Taylor, Mark P, 2001. "Risky Arbitrage, Limits of Arbitrage, and Nonlinear Adjustment in the Dividend-Price Ratio," Economic Inquiry, Western Economic Association International, vol. 39(4), pages 524-536, October.
    26. Shleifer, Andrei & Vishny, Robert W, 1997. "The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    27. Dwyer, Gerald P, Jr & Locke, Peter R & Yu, Wei, 1996. "Index Arbitrage and Nonlinear Dynamics between the S&P 500 Futures and Cash," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 301-332.
    28. Jeremy C. Stein, 2009. "Presidential Address: Sophisticated Investors and Market Efficiency," Journal of Finance, American Finance Association, vol. 64(4), pages 1517-1548, August.
    29. Adrian, Tobias & Shin, Hyun Song, 2010. "Liquidity and leverage," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 418-437, July.
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