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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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
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