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Deviations from Triangular Arbitrage Parity in Foreign Exchange and Bitcoin Markets

Author

Listed:
  • Reynolds, Julia

    (Institute of Finance, Universita della Svizzera Italiana, Lugano)

  • Soegner, Leopold

    (Department of Economics and Finance, Institute for Advanced Studies, Vienna, Austria, Vienna Graduate School of Finance and NYU Abu Dhabi)

  • Wagner, Martin

    (Department of Economics, University of Klagenfurt, Bank of Slovenia, Ljubljana and Institute for Advanced Studies, Vienna, Austria)

Abstract

This paper applies recently developed procedures to monitor and date so-called “financial market dislocations”, defined as periods in which substantial deviations from arbitrage parities take place. In particular, we focus on deviations from the triangular arbitrage parity for exchange rate triplets from a cointegration perspective. Due to increasing attention on and importance of mispricing in the market for cryptocurrencies, we include the cryptocurrency Bitcoin in addition to fiat currencies. We do not find evidence for substantial deviations from the triangular arbitrage parity when only traditional fiat currencies are concerned, but document significant deviations from triangular arbitrage parities in the newer markets for Bitcoin. We confirm the importance of our results for portfolio strategies by showing that a currency portfolio that trades based on our detected break-points outperforms a simple buy-and-hold strategy.

Suggested Citation

  • Reynolds, Julia & Soegner, Leopold & Wagner, Martin, 2020. "Deviations from Triangular Arbitrage Parity in Foreign Exchange and Bitcoin Markets," IHS Working Paper Series 17, Institute for Advanced Studies.
  • Handle: RePEc:ihs:ihswps:17
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    File URL: https://irihs.ihs.ac.at/id/eprint/5396/
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    References listed on IDEAS

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    1. Veronesi, Pietro, 2004. "The Peso problem hypothesis and stock market returns," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 707-725, January.
    2. Paolo Pasquariello, 2014. "Financial Market Dislocations," The Review of Financial Studies, Society for Financial Studies, vol. 27(6), pages 1868-1914.
    3. John Y. Campbell & Karine Serfaty‐De Medeiros & Luis M. Viceira, 2010. "Global Currency Hedging," Journal of Finance, American Finance Association, vol. 65(1), pages 87-121, February.
    4. Engel, Charles & Rogers, John H, 1996. "How Wide Is the Border?," American Economic Review, American Economic Association, vol. 86(5), pages 1112-1125, December.
    5. Gina Pieters, 2016. "Does bitcoin reveal new information about exchange rates and financial integration?," Globalization Institute Working Papers 292, Federal Reserve Bank of Dallas.
    6. Dominik Wied & Daniel Ziggel & Tobias Berens, 2013. "On the application of new tests for structural changes on global minimum-variance portfolios," Statistical Papers, Springer, vol. 54(4), pages 955-975, November.
    7. Denis Gromb & Dimitri Vayanos, 2010. "Limits of Arbitrage: The State of the Theory," NBER Working Papers 15821, National Bureau of Economic Research, Inc.
    8. Lyons, Richard K. & Moore, Michael J., 2009. "An information approach to international currencies," Journal of International Economics, Elsevier, vol. 79(2), pages 211-221, November.
    9. John Y. Campbell & Luis M. Viceira & Joshua S. White, 2003. "Foreign Currency for Long-Term Investors," Economic Journal, Royal Economic Society, vol. 113(486), pages 1-25, March.
    10. Tim Bollerslev & Viktor Todorov, 2011. "Tails, Fears, and Risk Premia," Journal of Finance, American Finance Association, vol. 66(6), pages 2165-2211, December.
    11. Takatoshi Ito & Kenta Yamada & Misako Takayasu & Hideki Takayasu, 2012. "Free Lunch! Arbitrage Opportunities in the Foreign Exchange Markets," NBER Working Papers 18541, National Bureau of Economic Research, Inc.
    12. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    13. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    14. Makarov, Igor & Schoar, Antoinette, 2020. "Trading and arbitrage in cryptocurrency markets," LSE Research Online Documents on Economics 100409, London School of Economics and Political Science, LSE Library.
    15. Gregor Matvos & Amit Seru, 2014. "Resource Allocation within Firms and Financial Market Dislocation: Evidence from Diversified Conglomerates," The Review of Financial Studies, Society for Financial Studies, vol. 27(4), pages 1143-1189.
    16. Harald Hau & Hélène Rey, 2006. "Exchange Rates, Equity Prices, and Capital Flows," The Review of Financial Studies, Society for Financial Studies, vol. 19(1), pages 273-317.
    17. Dominik Wied & Matthias Arnold & Nicolai Bissantz & Daniel Ziggel, 2012. "A new fluctuation test for constant variances with applications to finance," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(8), pages 1111-1127, November.
    18. Sean Foley & Jonathan R Karlsen & Tālis J Putniņš, 2019. "Sex, Drugs, and Bitcoin: How Much Illegal Activity Is Financed through Cryptocurrencies?," The Review of Financial Studies, Society for Financial Studies, vol. 32(5), pages 1798-1853.
    19. Denis Gromb & Dimitri Vayanos, 2010. "Limits of Arbitrage," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 251-275, December.
    20. Martin Wagner & Dominik Wied, 2017. "Consistent Monitoring of Cointegrating Relationships: The US Housing Market and the Subprime Crisis," Journal of Time Series Analysis, Wiley Blackwell, vol. 38(6), pages 960-980, November.
    21. Chu, Chia-Shang James & Stinchcombe, Maxwell & White, Halbert, 1996. "Monitoring Structural Change," Econometrica, Econometric Society, vol. 64(5), pages 1045-1065, September.
    22. Robert C. Klemkosky & Jae Ha Lee, 1991. "The intraday ex post and ex ante profitability of index arbitrage," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 11(3), pages 291-311, June.
    23. Gagnon, Louis & Andrew Karolyi, G., 2010. "Multi-market trading and arbitrage," Journal of Financial Economics, Elsevier, vol. 97(1), pages 53-80, July.
    24. Roman Kozhan & Wing Wah Tham, 2012. "Execution Risk in High-Frequency Arbitrage," Management Science, INFORMS, vol. 58(11), pages 2131-2149, November.
    25. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
    26. Vogelsang, Timothy J. & Wagner, Martin, 2014. "Integrated modified OLS estimation and fixed-b inference for cointegrating regressions," Journal of Econometrics, Elsevier, vol. 178(2), pages 741-760.
    27. Makarov, Igor & Schoar, Antoinette, 2020. "Trading and arbitrage in cryptocurrency markets," Journal of Financial Economics, Elsevier, vol. 135(2), pages 293-319.
    28. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    29. Pieters, Gina & Vivanco, Sofia, 2017. "Financial regulations and price inconsistencies across Bitcoin markets," Information Economics and Policy, Elsevier, vol. 39(C), pages 1-14.
    30. Akram, Q. Farooq & Rime, Dagfinn & Sarno, Lucio, 2008. "Arbitrage in the foreign exchange market: Turning on the microscope," Journal of International Economics, Elsevier, vol. 76(2), pages 237-253, December.
    31. Robert J. Barro, 2009. "Rare Disasters, Asset Prices, and Welfare Costs," American Economic Review, American Economic Association, vol. 99(1), pages 243-264, March.
    32. Kim, Thomas, 2017. "On the transaction cost of Bitcoin," Finance Research Letters, Elsevier, vol. 23(C), pages 300-305.
    33. Evans, Martin D.D., 2018. "Forex trading and the WMR Fix," Journal of Banking & Finance, Elsevier, vol. 87(C), pages 233-247.
    34. Shleifer, Andrei & Vishny, Robert W, 1997. "The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    35. Alexander Brauneis & Roland Mestel & Ryan Riordan & Erik Theissen, 2018. "A High-Frequency Analysis of Bitcoin Markets," Working Paper Series, Social and Economic Sciences 2018-06, Faculty of Social and Economic Sciences, Karl-Franzens-University Graz.
    36. David M. Modest & Mahadevan Sundaresan, 1983. "The relationship between spot and futures prices in stock index futures markets: Some preliminary evidence," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 3(1), pages 15-41, March.
    37. Matthias Fleckenstein & Francis A. Longstaff & Hanno Lustig, 2014. "The TIPS-Treasury Bond Puzzle," Journal of Finance, American Finance Association, vol. 69(5), pages 2151-2197, October.
    38. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(1), pages 1-21, March.
    39. Baur, Dirk G. & Hong, KiHoon & Lee, Adrian D., 2018. "Bitcoin: Medium of exchange or speculative assets?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 54(C), pages 177-189.
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    Cited by:

    1. Pietro Saggese & Alessandro Belmonte & Nicola Dimitri & Angelo Facchini & Rainer Bohme, 2021. "Who are the arbitrageurs? Empirical evidence from Bitcoin traders in the Mt. Gox exchange platform," Papers 2109.10958, arXiv.org.
    2. Saggese, Pietro & Belmonte, Alessandro & Dimitri, Nicola & Facchini, Angelo & Böhme, Rainer, 2023. "Arbitrageurs in the Bitcoin ecosystem: Evidence from user-level trading patterns in the Mt. Gox exchange platform," Journal of Economic Behavior & Organization, Elsevier, vol. 213(C), pages 251-270.

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    More about this item

    Keywords

    Triangular Arbitrage Parity; Foreign Exchange Markets; Cryptocurrencies; Cointegration; Monitoring;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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