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Arbitrage in Frictional Foreign Exchange Market

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  • 2003; Cai, Deng

Problem Definition

The simultaneous purchase and sale of the same securities, commodities, or foreign exchange in order to profit from a differential in the price. This usually takes place on different exchanges or marketplaces and is also known as a “riskless profit.”

Arbitrage is, arguably, the most fundamental concept in finance. It is a state of the variables of financial instruments such that a riskless profit can be made, which is generally believed not in existence. The economist’s argument for its nonexistence is that active investment agents will exploit any arbitrage opportunity in a financial market and thus will deplete it as soon as it may arise. Naturally, the speed at which such an arbitrage opportunity can be located and be taken advantage of is important for the profit-seeking investigators, which falls in the realm of analysis of algorithms and computational complexity.

The identification of arbitrage...

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Recommended Reading

  1. Abeysekera SP, Turtle HJ (1995) Long-run relations in exchange markets: a test of covered interest parity. J Financ Res 18(4):431–447

    Article  Google Scholar 

  2. Ausiello G, Crescenzi P, Gambosi G, Kann V, Marchetti-Spaccamela A, Protasi M (1999) Complexity and approximation: combinatorial optimization problems and their approximability properties. Springer, Berlin

    Book  MATH  Google Scholar 

  3. Cai M, Deng X (2003) Approximation and computation of arbitrage in frictional foreign exchange market. Electron Notes Theor Comput Sci 78:1–10

    Article  Google Scholar 

  4. Clinton K (1988) Transactions costs and covered interest arbitrage: theory and evidence. J Polit Econ 96(2):358–370

    Article  Google Scholar 

  5. Deng X, Papadimitriou C (1994) On the complexity of cooperative game solution concepts. Math Oper Res 19(2):257–266

    Article  MathSciNet  MATH  Google Scholar 

  6. Deng X, Li ZF, Wang S (2002) Computational complexity of arbitrage in frictional security market. Int J Found Comput Sci 13(5):681–684

    Article  MATH  Google Scholar 

  7. Deng X, Papadimitriou C, Safra S (2003) On the complexity of price equilibria. J Comput Syst Sci 67(2):311–324

    Article  MathSciNet  MATH  Google Scholar 

  8. Garey MR, Johnson DS (1979) Computers and intractability: a guide of the theory of NP-completeness. Freeman, San Francisco

    MATH  Google Scholar 

  9. Jones CK (2001) A network model for foreign exchange arbitrage, hedging and speculation. Int J Theor Appl Finance 4(6):837–852

    Article  MATH  Google Scholar 

  10. Lenstra HW Jr (1983) Integer programming with a fixed number of variables. Math Oper Res 8(4):538–548

    Article  MathSciNet  MATH  Google Scholar 

  11. Mavrides M (1992) Triangular arbitrage in the foreign exchange market – inefficiencies, technology and investment opportunities. Quorum Books, London

    Google Scholar 

  12. Megiddo N (1978) Computational complexity and the game theory approach to cost allocation for a tree. Math Oper Res 3:189–196

    Article  MathSciNet  MATH  Google Scholar 

  13. Mundell RA (1981) Gold would serve into the 21st century. Wall Str J, Sep 30, p 33

    Google Scholar 

  14. Mundell RA (2000) Currency areas, exchange rate systems, and international monetary reform, paper delivered at Universidad del CEMA, Buenos Aires. http://www.robertmundell.net/pdf/Currency. Accessed 17 Apr 2000

  15. Zhang S, Xu C, Deng X (2002) Dynamic arbitrage-free asset pricing with proportional transaction costs. Math Finance 12(1):89–97

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Mao-cheng Cai .

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Cai, Mc., Deng, X. (2015). Arbitrage in Frictional Foreign Exchange Market. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27848-8_33-2

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  • DOI: https://doi.org/10.1007/978-3-642-27848-8_33-2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Online ISBN: 978-3-642-27848-8

  • eBook Packages: Springer Reference Computer SciencesReference Module Computer Science and Engineering

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