IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/hal-02877955.html
   My bibliography  Save this paper

How to determine exchange rates under risk neutrality: A note

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

    (IPAG Business School, 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, TIMAS - Institute of Mathematics and Applied Science)

Abstract

The goal of this paper is to determine the exchange rates consistent with an equilibrium in the international assets and goods markets. We present a wealth model of a two-country economy where financial assets and goods are traded. We consider the case where the agents are risk neutral, a very common assumption in finance in order to have explicit solutions for prices, and, in particular, in international finance for exchange rates using the non-null Pareto optima. We show that the Pareto optima in the international assets and goods markets are found to coincide with the net trade allocations. More notably, under a no-arbitrage condition in the assets markets, we can define an exchange rates system for which PPP holds. We provide conditions to have a non-null Pareto optimum to compute the exchange rates. We give an example with a non-null Pareto optimum associated with the determination of the exchange rate. © 2017 Elsevier B.V.

Suggested Citation

  • Stefano Bosi & Patrice Fontaine & Cuong Le Van, 2017. "How to determine exchange rates under risk neutrality: A note," PSE-Ecole d'économie de Paris (Postprint) hal-02877955, HAL.
    • Handle: RePEc:hal:pseptp:hal-02877955
    DOI: 10.1016/j.econlet.2017.05.015
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bosi, Stefano & Fontaine, Patrice & Le Van, Cuong, 2016. "Interest rates parity and no arbitrage as equivalent equilibrium conditions in the international financial assets and goods markets," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 26-36.
    2. repec:hal:pseose:hal-01302524 is not listed on IDEAS
    3. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
    4. repec:dau:papers:123456789/13604 is not listed on IDEAS
    5. 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.
    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, 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.
    2. Jun Wei, 2020. "Optimal Combination of Currency Assets and Algorithm Simulation under Exchange Rate Risk," Complexity, Hindawi, vol. 2020, pages 1-10, November.

    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. 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.
    2. 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.
    3. repec:ipg:wpaper:2013-003 is not listed on IDEAS
    4. Stefano Bosi & Patrice Fontaine & Cuong Le Van, 2014. "Pareto optima and exchange rates under risk neutrality: A note," Working Papers 2014-101, Department of Research, Ipag Business School.
    5. repec:ipg:wpaper:3 is not listed on IDEAS
    6. repec:ipg:wpaper:201403 is not listed on IDEAS
    7. Hong, Seung Hyun & Phillips, Peter C. B., 2010. "Testing Linearity in Cointegrating Relations With an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 96-114.
    8. Franses, Ph.H.B.F. & van Dijk, D.J.C., 2002. "A simple test for PPP among traded goods," Econometric Institute Research Papers EI 2002-02, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. repec:ipg:wpaper:2014-061 is not listed on IDEAS
    10. Frédérique Bec & Mélika Ben Salem & Marine Carrasco, 2010. "Detecting Mean Reversion in Real Exchange Rates from a Multiple Regime star Model," Annals of Economics and Statistics, GENES, issue 99-100, pages 395-427.
    11. Kleopatra Nikolaou, 2007. "The behaviour of the real exchange rate: Evidence from regression quantiles," Money Macro and Finance (MMF) Research Group Conference 2006 46, Money Macro and Finance Research Group.
    12. Charles van Marrewijk, 2004. "An introduction to international money and foreign exchange markets," International Finance 0410006, University Library of Munich, Germany.
    13. Chang, Ming-Jen & Su, Che-Yi, 2014. "The dynamic relationship between exchange rates and macroeconomic fundamentals: Evidence from Pacific Rim countries," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 30(C), pages 220-246.
    14. Daiki Maki, 2008. "The Performance of Variance Ratio Unit Root Tests Under Nonlinear Stationary TAR and STAR Processes: Evidence from Monte Carlo Simulations and Applications," Computational Economics, Springer;Society for Computational Economics, vol. 31(1), pages 77-94, February.
    15. Mohamed el hédi Arouri & Fredj Jawadi, 2011. "Do on/off time series models reproduce emerging stock market comovements?," Economics Bulletin, AccessEcon, vol. 31(1), pages 960-968.
    16. Anna Pavlova & Roberto Rigobon, 2010. "International Macro-Finance," NBER Working Papers 16630, National Bureau of Economic Research, Inc.
    17. Michael Frömmel & Darko B. Vukovic & Jinyuan Wu, 2022. "The Dollar Exchange Rate, Adjustment to the Purchasing Power Parity, and the Interest Rate Differential," Mathematics, MDPI, vol. 10(23), pages 1-17, November.
    18. Coeurdacier, Nicolas, 2009. "Do trade costs in goods market lead to home bias in equities?," Journal of International Economics, Elsevier, vol. 77(1), pages 86-100, February.
    19. 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.
    20. Eaton, Jonathan & Kortum, Samuel & Neiman, Brent, 2016. "Obstfeld and Rogoff׳s international macro puzzles: a quantitative assessment," Journal of Economic Dynamics and Control, Elsevier, vol. 72(C), pages 5-23.
    21. Paul De Grauwe & Marianna Grimaldi, 2014. "Heterogeneity of Agents, Transactions Costs and the Exchange Rate," World Scientific Book Chapters, in: Exchange Rates and Global Financial Policies, chapter 2, pages 33-70, World Scientific Publishing Co. Pte. Ltd..
    22. Rose-Anne Dana & Cuong Le Van, 2009. "No-arbitrage, overlapping sets of priors and the existence of efficient allocations and equilibria in the presence of risk and ambiguity," Post-Print halshs-00281582, HAL.
    23. 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.
    24. David G. McMillan, 2003. "Non‐linear Predictability of UK Stock Market Returns," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(5), pages 557-573, December.

    More about this item

    Keywords

    Exchange rates; International asset pricing; No-arbitrage conditions; Returns on securities;
    All these keywords.

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    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:pseptp:hal-02877955. 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: Caroline Bauer (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.