Detecting and identifying arbitrage in the spot foreign exchange market

Zhenyu Cui, Wenhan Qian, Stephen Taylor, Lingjiong Zhu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We propose a theoretical framework for the detection and identification of triangular arbitrage opportunities between currency exchange rates in the spot foreign exchange market. We obtain sufficient conditions for the exclusion of triangular arbitrage opportunities in the setting of non-trivial transaction costs in terms of the currency rates of the market under consideration. Then we propose an efficient computational approach which can detect triangular arbitrage opportunities in real time. Finally, we consider numerical studies that utilize spot currency exchange rate quotes to substantiate and present applications of the theoretical findings as well as to demonstrate the efficiency of the proposed computational arbitrage detection and identification methods.

Original languageEnglish (US)
Pages (from-to)119-132
Number of pages14
JournalQuantitative Finance
Issue number1
StatePublished - Jan 2 2020

All Science Journal Classification (ASJC) codes

  • General Economics, Econometrics and Finance
  • Finance


  • 60F10
  • 60G55
  • 91B30
  • Foreign exchange
  • Perron–Frobenius theorem
  • Triangular arbitrage


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