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Interest rates parity and no arbitrage as equivalent equilibrium conditions in the international financial assets and goods markets

Author

Listed:
  • Stefano Bosi

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Pascal Fontaine

    (EUROFIDAI - Institut Européen de données financières - ESSEC Business School - CNRS - Centre National de la Recherche Scientifique)

  • Cuong Le Van

    (IPAG Business School, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we consider a two-period consumption model with many financial assets. In the spirit of Hart, consumers purchase financial assets in period 0 and consume in period 1. We differ from Hart by considering that each agent is a country. We provide conditions for the existence of an equilibrium in both international financial assets and goods markets. First, we introduce a weaker notion of Uncovered Interest (rate) Parity (UIP) called Weak Uncovered Interest (rate) Parity (WUIP), and we show its equivalence to the no-arbitrage condition in the international financial markets. Second, we introduce the concept of common no arbitrage and we show its equivalence to UIP. These results bridge concepts of no arbitrage in general equilibrium theory and financial microeconomics and of interest parity in international financial macroeconomics. In a multi-country model with many currencies and only one good, we introduce a country-specific conversion rate which transforms the returns on assets valued in local currency into units of physical good. We the define also the exchange rates between currencies of different countries. The UIP condition is required for the existence of an equilibrium in both international financial assets and goods markets and for the existence of the Law of One Price.
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Suggested Citation

  • Stefano Bosi & Pascal Fontaine & Cuong Le Van, 2016. "Interest rates parity and no arbitrage as equivalent equilibrium conditions in the international financial assets and goods markets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01302524, HAL.
    • Handle: RePEc:hal:cesptp:hal-01302524
    DOI: 10.1016/j.mathsocsci.2016.04.002
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    References listed on IDEAS

    as
    1. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    2. Frenkel, Jacob A & Mussa, Michael L, 1980. "The Efficiency of Foreign Exchange Markets and Measures of Turbulence," American Economic Review, American Economic Association, vol. 70(2), pages 374-381, May.
    3. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2002. "The geometry of arbitrage and the existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 373-391, December.
    4. Page Jr., Frank H. & Wooders, Myrna Holtz, 1996. "A necessary and sufficient condition for the compactness of individually rational and feasible outcomes and the existence of an equilibrium," Economics Letters, Elsevier, vol. 52(2), pages 153-162, August.
    5. Dana, Rose-Anne & Le Van, Cuong & Magnien, Francois, 1999. "On the Different Notions of Arbitrage and Existence of Equilibrium," Journal of Economic Theory, Elsevier, vol. 87(1), pages 169-193, July.
    6. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-1418, November.
    7. Hart, Oliver D., 1974. "On the existence of equilibrium in a securities model," Journal of Economic Theory, Elsevier, vol. 9(3), pages 293-311, November.
    8. Frenkel, Jacob A. & Razin, Assaf, 1980. "Stochastic prices and tests of efficiency of foreign exchange markets," Economics Letters, Elsevier, vol. 6(2), pages 165-170.
    9. repec:dau:papers:123456789/13604 is not listed on IDEAS
    10. repec:dau:papers:123456789/6228 is not listed on IDEAS
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    Cited by:

    1. Bosi, Stefano & Fontaine, Patrice & Le Van, Cuong, 2017. "How to determine exchange rates under risk neutrality: A note," Economics Letters, Elsevier, vol. 157(C), pages 92-96.
    2. Bosi, Stefano & Fontaine, Patrice & Le Van, Cuong, 2021. "Long-run equilibrium in international assets and goods markets: Why is the law of one price required?," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 891-904.

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    More about this item

    Keywords

    interest rates; good markets;

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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