IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v3y1993i1p1-23.html
   My bibliography  Save this article

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. Hans Dewachter & Dirk Veestraeten, 2001. "Measuring convergence speed of asset prices toward a pre-announced target," Applied Financial Economics, Taylor & Francis Journals, vol. 11(6), pages 591-601.
    2. Giuseppe Bertola & Lars E. O. Svensson, 1993. "Stochastic Devaluation Risk and the Empirical Fit of Target-Zone Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 689-712.
    3. 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.
    4. Smith, Gregor W., 1995. "Exchange-rate discounting," Journal of International Money and Finance, Elsevier, vol. 14(5), pages 659-666, October.
    5. 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.
    6. Helpman, Elhanan & Leiderman, Leonardo, 1991. "Exchange Rate Systems: New Perspectives," Foerder Institute for Economic Research Working Papers 275504, Tel-Aviv University > Foerder Institute for Economic Research.
    7. 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.
    8. Svensson, Lars E. O., 1992. "The foreign exchange risk premium in a target zone with devaluation risk," Journal of International Economics, Elsevier, vol. 33(1-2), pages 21-40, August.
    9. Jess Rodr?uez L?ez & Hugo Rodr?uez Mendiz?al, 2002. "On the Choice of an Exchange Rate Regime: Target Zones Revisited," UFAE and IAE Working Papers 518.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    10. Svensson, Lars E. O., 1991. "The term structure of interest rate differentials in a target zone : Theory and Swedish data," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 87-116, August.
    11. Chen, Mei-Ping & Lin, Yu-Hui & Tseng, Chun-Yao & Chen, Wen-Yi, 2015. "Bubbles in health care: Evidence from the U.S., U.K., and German stock markets," The North American Journal of Economics and Finance, Elsevier, vol. 31(C), pages 193-205.
    12. Lu, You-Xun, 2022. "The stabilizing effect of the zero lower bound: A perspective of interest rate target zones," The Quarterly Review of Economics and Finance, Elsevier, vol. 84(C), pages 61-67.
    13. Dominquez, Kathryn M. & Kenen, Peter B., 1992. "Intramarginal intervention in the EMS and the target-zone model of exchange-rate behavior," European Economic Review, Elsevier, vol. 36(8), pages 1523-1532, December.
    14. Ricardo Hausmann, 1995. "Dealing with Negative Oil Shocks: The Venezuelan Experience in the Eighties," Research Department Publications 4010, Inter-American Development Bank, Research Department.
    15. Svensson, Lars E. O., 1991. "Target zones and interest rate variability," Journal of International Economics, Elsevier, vol. 31(1-2), pages 27-54, August.
    16. Beetsma, Roel M W J & van der Ploeg, Frederick, 1994. "Intramarginal Interventions, Bands and the Pattern of EMS Exchange Rate Distributions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 583-602, August.
    17. Vajanne, Laura, . "The Exchange Rate Under Target Zones," ETLA A, The Research Institute of the Finnish Economy, number 16, June.
    18. Delgado, Francisco & Dumas, Bernard, 1993. "Monetary contracting between central banks and the design of sustainable exchange-rate zones," Journal of International Economics, Elsevier, vol. 34(3-4), pages 201-224, May.
    19. Mark Trede & Bernd Wilfling, 2007. "Estimating exchange rate dynamics with diffusion processes: an application to Greek EMU data," Empirical Economics, Springer, vol. 33(1), pages 23-39, July.
    20. Hertrich Markus, 2016. "The Costs of Implementing a Unilateral One-Sided Exchange Rate Target Zone," Review of Economics, De Gruyter, vol. 67(1), pages 91-120, May.

    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.