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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

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne)

  • Patrice Fontaine

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

  • Cuong Le Van

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, 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, IPAG Business School, VCREME - Van Xuan Center of Research in Economics, Management and Environment)

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.

Suggested Citation

  • Stefano Bosi & Patrice Fontaine & Cuong Le Van, 2016. "Interest rates parity and no arbitrage as equivalent equilibrium conditions in the international financial assets and goods markets," Post-Print halshs-01391013, HAL.
    • Handle: RePEc:hal:journl:halshs-01391013
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01391013
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    References listed on IDEAS

    as
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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

    no-arbitrage; returns on financial assets; exchange rates; Law of One Price; Uncovered Interest rate Parity; general equilibrium;
    All these keywords.

    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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