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Estimating unknown arbitrage costs: Evidence from a 3-regime threshold vector error correction model

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  • Ters, Kristyna
  • Urban, Jörg

Abstract

We present a methodology for estimating a multivariate 3-regime threshold vector error correction model (TVECM) with an unknown cointegrating vector based on a new dynamic grid evaluation. This model is particularly useful for estimating deviations from parity conditions, such as unknown arbitrage costs in markets with a persistent non-zero basis between two similar financial market instruments traded in the spot and derivative markets. Our proposed 3-regime TVECM can estimate the area where arbitrageurs have no incentives to trade. It is only when the basis exceeds a critical threshold, that is when the potential gain from the basis trade exceeds the overall transaction costs, that we expect arbitrageurs to step in and carry out the respective trade. This leads to non-linear adjustment dynamics and regimes with different characteristics. Our methodology allows overall transaction costs to be quantified in markets where trading costs are opaque or unknown.

Suggested Citation

  • Ters, Kristyna & Urban, Jörg, 2020. "Estimating unknown arbitrage costs: Evidence from a 3-regime threshold vector error correction model," Journal of Financial Markets, Elsevier, vol. 47(C).
  • Handle: RePEc:eee:finmar:v:47:y:2020:i:c:s1386418119300084
    DOI: 10.1016/j.finmar.2019.07.002
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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. Hansen, Bruce E. & Seo, Byeongseon, 2002. "Testing for two-regime threshold cointegration in vector error-correction models," Journal of Econometrics, Elsevier, vol. 110(2), pages 293-318, October.
    4. Sokbae Lee & Myung Hwan Seo & Youngki Shin, 2017. "Correction," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 883-883, April.
    5. Jürgen Gaul & Erik Theissen, 2015. "A Partially Linear Approach to Modeling the Dynamics of Spot and Futures Prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 35(4), pages 371-384, April.
    6. J. Stevens, 2015. "Do transaction costs prevent arbitrage in the market for crude oil? Evidence from a threshold autoregression," Applied Economics Letters, Taylor & Francis Journals, vol. 22(3), pages 169-172, February.
    7. Kristyna Ters & Jörg Urban, 2018. "Estimating unknown arbitrage costs: evidence from a three-regime threshold vector error correction model," BIS Working Papers 689, Bank for International Settlements.
    8. Gonzalo, Jesus & Granger, Clive W J, 1995. "Estimation of Common Long-Memory Components in Cointegrated Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 27-35, January.
    9. Martin Martens & Paul Kofman & Ton C. F. Vorst, 1998. "A threshold error-correction model for intraday futures and index returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(3), pages 245-263.
    10. Forbes, Catherine S & Kalb, Guyonne R J & Kofman, Paul, 1999. "Bayesian Arbitrage Threshold Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(3), pages 364-372, July.
    11. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    12. Bai, Jushan, 1997. "Estimating Multiple Breaks One at a Time," Econometric Theory, Cambridge University Press, vol. 13(3), pages 315-352, June.
    13. Sokbae Lee & Myung Hwan Seo & Youngki Shin, 2017. "Correction," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 883-883, April.
    14. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    15. Kasing Man & Junbo Wang & Chunchi Wu, 2013. "Price Discovery in the U.S. Treasury Market: Automation vs. Intermediation," Management Science, INFORMS, vol. 59(3), pages 695-714, September.
    16. Gyntelberg, Jacob & Hördahl, Peter & Ters, Kristyna & Urban, Jörg, 2018. "Price discovery in euro area sovereign credit markets and the ban on naked CDS," Journal of Banking & Finance, Elsevier, vol. 96(C), pages 106-125.
    17. Jacob Gyntelberg & Peter Hördahl & Kristyna Ters & Jörg Urban, 2013. "Intraday dynamics of euro area sovereign CDS and bonds," BIS Working Papers 423, Bank for International Settlements.
    18. Jacob Gyntelberg & Peter Hördahl & Kristyna Ters & Jörg Urban, 2017. "Arbitrage costs and the persistent non-zero CDS-bond basis: Evidence from intraday euro area sovereign debt markets," BIS Working Papers 631, Bank for International Settlements.
    19. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    20. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
    21. Hasbrouck, Joel, 1995. "One Security, Many Markets: Determining the Contributions to Price Discovery," Journal of Finance, American Finance Association, vol. 50(4), pages 1175-1199, September.
    22. Berkman, Henk & Brailsford, Tim & Frino, Alex, 2005. "A note on execution costs for stock index futures: Information versus liquidity effects," Journal of Banking & Finance, Elsevier, vol. 29(3), pages 565-577, March.
    23. Figuerola-Ferretti, Isabel & Gonzalo, Jesús, 2010. "Modelling and measuring price discovery in commodity markets," Journal of Econometrics, Elsevier, vol. 158(1), pages 95-107, September.
    24. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    25. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
    26. Anderson, Heather M, 1997. "Transaction Costs and Non-linear Adjustment towards Equilibrium in the US Treasury Bill Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 465-484, November.
    27. Baillie, Richard T. & Geoffrey Booth, G. & Tse, Yiuman & Zabotina, Tatyana, 2002. "Price discovery and common factor models," Journal of Financial Markets, Elsevier, vol. 5(3), pages 309-321, July.
    28. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
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    More about this item

    Keywords

    Arbitrage; Error correction; Regime switch; Threshold; Transaction cost;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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