Periodic Sequences of Arbitrage: A Tale of Four Currencies
AbstractThis paper investigates arbitrage chains involving four currencies and four foreign ex-change trader-arbitrageurs. In contrast with the three-currency case, we find that arbitrage operations when four currencies are present may appear periodic in nature, and not involve smooth convergence to a "balanced" ensemble of exchange rates in which the law of one price holds. The goal of this article is to understand some interesting features of sequences of arbitrage operations, features which might well be relevant in other contexts in finance and economics.
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Bibliographic InfoPaper provided by University of Strathclyde Business School, Department of Economics in its series Working Papers with number 1019.
Length: 31 pages
Date of creation: Oct 2010
Date of revision:
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More information through EDIRC
Limits to arbitrage; Four currencies; Recurrent sequences; Asynchronous systems;
Other versions of this item:
- Rod Cross & Victor Kozyakin & Brian O'Callaghan & Alexei Pokrovskii & Alexey Pokrovskiy, 2012. "Periodic Sequences Of Arbitrage: A Tale Of Four Currencies," Metroeconomica, Wiley Blackwell, vol. 63(2), pages 250-294, 05.
- Rod Cross & Victor Kozyakin & Brian O'Callaghan & Alexei Pokrovskii & Alexey Pokrovskiy, 2011. "Periodic Sequences of Arbitrage: A Tale of Four Currencies," Papers 1112.5850, arXiv.org.
- Cross, Rod & Kozyakin, Victor & O’Callaghan, Brian & Pokrovskii, Alexei & Pokrovskiy, Alexey, 2010. "Periodic Sequences of Arbitrage: A Tale of Four Currencies," SIRE Discussion Papers 2010-66, Scottish Institute for Research in Economics (SIRE).
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
- F31 - International Economics - - International Finance - - - Foreign Exchange
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
This paper has been announced in the following NEP Reports:
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- Jonathan Haskel & Holger C. Wolf, 2001.
"The Law of One Price - A Case Study,"
CESifo Working Paper Series
428, CESifo Group Munich.
- Alan M. Taylor, 2000.
"A Century of Purchasing-Power Parity,"
NBER Working Papers
8012, National Bureau of Economic Research, Inc.
- Engel, C., 1996.
"Accounting for U.S. Real Exchange Rate Changes,"
96-02, University of Washington, Department of Economics.
- Charles Engel, 1995. "Accounting for U.S. Real Exchange Rate Changes," NBER Working Papers 5394, National Bureau of Economic Research, Inc.
- Engel, C., 1996. "Accounting for U.S. Real Exchange Rate Changes," Discussion Papers in Economics at the University of Washington 96-02, Department of Economics at the University of Washington.
- Engel, Charles & West, Kenneth D., 2003.
"Exchange rates and fundamentals,"
Working Paper Series
0248, European Central Bank.
- Charles Engel & Kenneth D. West, 2003. "Exchange rates and fundamentals," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
- Charles Engel & Kenneth D. West, 2005. "Exchange Rates and Fundamentals," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 485-517, June.
- Ross, Stephen A, 1978. "A Simple Approach to the Valuation of Risky Streams," The Journal of Business, University of Chicago Press, vol. 51(3), pages 453-75, July.
- C. L. Osler, 2002.
"Stop-loss orders and price cascades in currency markets,"
150, Federal Reserve Bank of New York.
- Osler, Carol L., 2005. "Stop-loss orders and price cascades in currency markets," Journal of International Money and Finance, Elsevier, vol. 24(2), pages 219-241, March.
- Andrei Shleifer & Robert W. Vishny, 1995.
"The Limits of Arbitrage,"
NBER Working Papers
5167, National Bureau of Economic Research, Inc.
- Andrei Shleifer ad Robert W. Vishny, 1995. "The Limits of Arbitrage," Harvard Institute of Economic Research Working Papers 1725, Harvard - Institute of Economic Research.
- Covrig, Vicentiu & Melvin, Michael, 2002. "Asymmetric information and price discovery in the FX market: does Tokyo know more about the yen?," Journal of Empirical Finance, Elsevier, vol. 9(3), pages 271-285, August.
- Rod Cross & Victor Kozyakin, 2012. "Fact and Fiction in FX Arbitrage Processes," Working Papers 1211, University of Strathclyde Business School, Department of Economics.
- Rod Cross & Victor Kozyakin, 2012. "Double Exponential Instability of Triangular Arbitrage Systems," Papers 1204.3422, arXiv.org, revised Jun 2012.
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