IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v3y1993i1p1-23.html

A Microeconomic Approach to Diffusion Models For Stock Prices

Author

Listed:
  • Hans Föllmer
  • Martin Schweizer

Abstract

This paper studies a class of diffusion models for stock prices derived by a microeconomic approach. We consider discrete‐time processes resulting from a market equilibrium and then apply an invariance principle to obtain a continuous‐time model. the resulting process is an Ornstein‐Uhlenbeck process in a random environment, and we analyze its qualitative behavior. In particular, we provide simple criteria for the stability or instability of the corresponding stock price model, and we give explicit formulae for the invariant distributions in the recurrent case.

Suggested Citation

  • Hans Föllmer & Martin Schweizer, 1993. "A Microeconomic Approach to Diffusion Models For Stock Prices," Mathematical Finance, Wiley Blackwell, vol. 3(1), pages 1-23, January.
    • Handle: RePEc:bla:mathfi:v:3:y:1993:i:1:p:1-23
    DOI: 10.1111/j.1467-9965.1993.tb00035.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9965.1993.tb00035.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9965.1993.tb00035.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Froot, Kenneth A. & Obstfeld, Maurice, 1991. "Exchange-rate dynamics under stochastic regime shifts : A unified approach," Journal of International Economics, Elsevier, vol. 31(3-4), pages 203-229, November.
    Full references (including those not matched with items on IDEAS)

    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. Driffill, John & Sola, Martin, 2006. "Target zones for exchange rates and policy changes," Journal of International Money and Finance, Elsevier, vol. 25(6), pages 912-931, October.
    2. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    3. Patrick Artus, 1992. "Passage à l'union économique et monétaire en Europe : effets sur la croissance et les politiques budgétaires," Économie et Prévision, Programme National Persée, vol. 106(5), pages 123-137.
    4. Oscar Bajo-Rubio & Simón Sosvilla Rivero, 1993. "Teorías del tipo de cambio: una panorámica," Documentos de Trabajo del ICAE 9307, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    5. Meulemann, Max & Uebele, Martin & Wilfling, Bernd, 2014. "The restoration of the gold standard after the US Civil War: A volatility analysis," Journal of Financial Stability, Elsevier, vol. 12(C), pages 37-46.
    6. William C. Hunter & Lucy F. Ackert, 1999. "Intrinsic Bubbles: The Case of Stock Prices: Comment," American Economic Review, American Economic Association, vol. 89(5), pages 1372-1376, December.
    7. Nuno Cassola, 1998. "Emu, Exchange Rate Volatility and Bid-Ask Spreads," Working Papers w199805, Banco de Portugal, Economics and Research Department.
    8. Jorgensen, Bjorn N. & Mikkelsen, Hans Ole ae, 1996. "An arbitrage free trilateral target zone model," Journal of International Money and Finance, Elsevier, vol. 15(1), pages 117-134, February.
    9. Hudepohl, Tom & van Lamoen, Ryan & de Vette, Nander, 2021. "Quantitative easing and exuberance in stock markets: Evidence from the euro area," Journal of International Money and Finance, Elsevier, vol. 118(C).
    10. Frachot, Antoine, 1996. "A reexamination of the uncovered interest rate parity hypothesis," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 419-437, June.
    11. Smith, Gregor W., 1995. "Exchange-rate discounting," Journal of International Money and Finance, Elsevier, vol. 14(5), pages 659-666, October.
    12. Lewis, Karen K, 1996. "Stochastic Regime Switching and Stabilizing Policies within Regimes," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 1(2), pages 71-85, April.
    13. Ricardo Hausmann, 1995. "Manejo de sacudidas petroleras negativas: la experiencia venezolana en los años 80," Research Department Publications 4011, Inter-American Development Bank, Research Department.
    14. Sugita, Katsuhiro, 2008. "Bayesian analysis of a Markov switching temporal cointegration model," Japan and the World Economy, Elsevier, vol. 20(2), pages 257-274, March.
    15. Jean-Sébastien Pentecôte & Thierry Roncalli, 1996. "Retour à la moyenne dans les cours du change du mécanisme de change européen : 1987-1995," Économie et Prévision, Programme National Persée, vol. 123(2), pages 189-205.
    16. Pill, Huw, 1996. "Evaluating target zone models in EMS data," Economics Letters, Elsevier, vol. 52(2), pages 199-204, August.
    17. Galindo, Arturo J. & Maloney, William F., 1998. "Second thoughts on second moments : panel evidence on asset-based models of currency crises," Policy Research Working Paper Series 1939, The World Bank.
    18. Margarida Abreu, 2003. "Contagion Phenomena in Financial Crises: Evidence from the Portuguese and Spanish Exchange Rate Crises in the Early Nineties," Working Papers Department of Economics 2003/05, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    19. Hui, Cho-Hoi & Wong, Andrew & Lo, Chi-Fai, 2025. "Stablecoin price dynamics under a peg-stabilising mechanism," Journal of International Money and Finance, Elsevier, vol. 152(C).
    20. António Portugal Duarte & João Sousa Andrade & Adelaide Duarte, 2013. "Exchange Rate Target Zones: A Survey Of The Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 27(2), pages 247-268, April.

    More about this item

    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:bla:mathfi:v:3:y:1993:i:1:p:1-23. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0960-1627 .

    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.