IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-01391013.html
   My bibliography  Save this paper

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," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01391013, HAL.
    • Handle: RePEc:hal:cesptp:halshs-01391013
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01391013
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-01391013/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    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
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Stefano Bosi & Patrice Fontaine & Cuong Le Van, 2013. "Equilibrium existence in the international asset and good markets," Working Papers 2013-3, Department of Research, Ipag Business School.
    2. repec:ipg:wpaper:2013-003 is not listed on IDEAS
    3. Ha-Huy, Thai & Le Van, Cuong & Nguyen, Manh-Hung, 2016. "Arbitrage and asset market equilibrium in infinite dimensional economies with short-selling and risk-averse expected utilities," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 30-39.
    4. Ha-Huy, Thai & Le Van, Cuong & Tran-Viet, Cuong, 2018. "Arbitrage and equilibrium in economies with short-selling and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 95-100.
    5. Rose-Anne Dana & Cuong Le Van, 2008. "No-arbitrage, overlapping sets of priors and the existence of efficient allocations and equilibria in the presence of risk and ambiguity," Documents de travail du Centre d'Economie de la Sorbonne b08039, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Nov 2009.
    6. Thai Ha Huy & Cuong Le Van, 2014. "Arbitrage and asset market equilibrium in finite dimensional economies with short," Working Papers 2014-122, Department of Research, Ipag Business School.
    7. Dana, R.A. & Le Van, C., 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2186-2202, November.
    8. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    9. Nizar Allouch & Monique Florenzano, 2004. "Edgeworth and Walras equilibria of an arbitrage-free exchange economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 353-370, January.
    10. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2006. "Arbitrage and equilibrium in unbounded exchange economies with satiation," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 661-674, September.
    11. Allouch, Nizar & Van, Cuong Le & Page Jr. Frank H., 2002. "Arbitrage, Equilibrium And Nonsatiation," The Warwick Economics Research Paper Series (TWERPS) 637, University of Warwick, Department of Economics.
    12. Nguyen, Manh-Hung & Ha-Huy, Thai, 2010. "No unbounded arbitrage, weak no market arbitrage and no arbitrage price system conditions; Equivalent conditions," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 128-131, January.
    13. Rose-Anne Dana & Cuong Le Van, 2010. "Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures," PSE-Ecole d'économie de Paris (Postprint) halshs-00308530, HAL.
    14. Ha-Huy, Thai & Le Van, Cuong, 2017. "Existence of equilibrium on asset markets with a countably infinite number of states," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 44-53.
    15. Manh-Hung Nguyen & Thai Ha-Huy, 2008. "No Unbounded Arbitrage, Weak No Market Arbitrage and No Arbitrage Price System Conditions: The Circular Results," Working Papers 04, Development and Policies Research Center (DEPOCEN), Vietnam.
    16. Dana, R.-A., 2011. "Comonotonicity, efficient risk-sharing and equilibria in markets with short-selling for concave law-invariant utilities," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 328-335.
    17. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, December.
    18. Danilov, Vladimir & Koshovoy, Gleb & Page, Frank & Wooders, Myrna, 2011. "Existence of equilibrium with unbounded short sales: A new approach," MPRA Paper 37778, University Library of Munich, Germany, revised Mar 2012.
    19. Martins-da-Rocha, V. Filipe & Monteiro, Paulo K., 2009. "Unbounded exchange economies with satiation: How far can we go?," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 465-478, July.
    20. Rose-Anne Dana & Cuong Le Van, 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," PSE-Ecole d'économie de Paris (Postprint) halshs-00470670, HAL.
    21. Dana, R.A. & Le Van, C., 2014. "Efficient allocations and equilibria with short-selling and incomplete preferences," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 101-105.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-01391013. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.