Triangular arbitrage as an interaction among foreign exchange rates

Yukihiro Aiba, Naomichi Hatano, Hideki Takayasu, Kouhei Marumo and Tokiko Shimizu

Physica A: Statistical Mechanics and its Applications, 2002, vol. 310, issue 3, 467-479

Abstract: We first show that there are in fact triangular arbitrage opportunities in the spot foreign exchange markets, analyzing the time dependence of the yen–dollar rate, the dollar–euro rate and the yen–euro rate. Next, we propose a model of foreign exchange rates with an interaction. The model includes effects of triangular arbitrage transactions as an interaction among three rates. The model explains the actual data of the multiple foreign exchange rates well.

Keywords: Econophysics; Stochastic process; Triangular arbitrage; Financial markets; Foreign exchange (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:310:y:2002:i:3:p:467-479

DOI: 10.1016/S0378-4371(02)00799-9

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