IDEAS home Printed from https://ideas.repec.org/a/taf/apmtfi/v10y2003i3p229-243.html
   My bibliography  Save this article

A valuation model for firms with stochastic earnings

Author

Listed:
  • Steven Li

Abstract

A model is proposed to value a firm with stochastic earnings. It is assumed that the earnings of the firm follow a time-varying mean reverting stochastic process. It is shown that the value of the firm satisfies a boundary value problem of a second-order partial differential equation, which can be solved numerically. Some special cases are discussed. An analytic solution is found for one special case. Moreover, it is shown that the analytic solution is consistent with a previous result obtained by other researchers. Numerical solutions are obtained for the other special cases. Finally, the model is also applied to value the debt issued by the firm.

Suggested Citation

  • Steven Li, 2003. "A valuation model for firms with stochastic earnings," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(3), pages 229-243.
    • Handle: RePEc:taf:apmtfi:v:10:y:2003:i:3:p:229-243
    DOI: 10.1080/1350486032000148311
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/1350486032000148311
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/1350486032000148311?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Epstein, D. & Mayor, N. & Schonbucher, P. & Whalley, A. E. & Wilmott, P., 1998. "The valuation of a firm advertising optimally," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(2), pages 149-166.
    2. Campbell, J.Y. & Shiller, R.J., 1988. "Stock Prices, Earnings And Expected Dividends," Papers 334, Princeton, Department of Economics - Econometric Research Program.
    3. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    4. Chiang, Raymond & Davidson, Ian & Okunev, John, 1997. "Some further theoretical and empirical implications regarding the relationship between earnings, dividends and stock prices," Journal of Banking & Finance, Elsevier, vol. 21(1), pages 17-35, January.
    5. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    6. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    7. Cooper, Ian A & Mello, Antonio S, 1991. "The Default Risk of Swaps," Journal of Finance, American Finance Association, vol. 46(2), pages 597-620, June.
    8. Stephen H. Penman & Theodore Sougiannis, 1998. "A Comparison of Dividend, Cash Flow, and Earnings Approaches to Equity Valuation," Contemporary Accounting Research, John Wiley & Sons, vol. 15(3), pages 343-383, September.
    9. Merton H. Miller & Franco Modigliani, 1961. "Dividend Policy, Growth, and the Valuation of Shares," The Journal of Business, University of Chicago Press, vol. 34, pages 411-411.
    10. Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
    11. Campbell, John Y & Shiller, Robert J, 1988. " Stock Prices, Earnings, and Expected Dividends," Journal of Finance, American Finance Association, vol. 43(3), pages 661-676, July.
    12. Marsh, Terry A & Merton, Robert C, 1987. "Dividend Behavior for the Aggregate Stock Market," The Journal of Business, University of Chicago Press, vol. 60(1), pages 1-40, January.
    13. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    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. Gryglewicz, Sebastian & Huisman, Kuno J.M. & Kort, Peter M., 2008. "Finite project life and uncertainty effects on investment," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2191-2213, July.
    2. Jamie Alcock & Thomas Mollee & James Wood, 2011. "Volatile earnings growth, the price of earnings and the Value premium," Quantitative Finance, Taylor & Francis Journals, vol. 11(6), pages 805-815.
    3. Keith Anderson & Tomasz Zastawniak, 2017. "Glamour, value and anchoring on the changing /," The European Journal of Finance, Taylor & Francis Journals, vol. 23(5), pages 375-406, April.

    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. Steven Li, 2002. "A valuation model for firms with stochastic earnings," School of Economics and Finance Discussion Papers and Working Papers Series 122, School of Economics and Finance, Queensland University of Technology.
    2. Chiang, Raymond & Davidson, Ian & Okunev, John, 1997. "Some further theoretical and empirical implications regarding the relationship between earnings, dividends and stock prices," Journal of Banking & Finance, Elsevier, vol. 21(1), pages 17-35, January.
    3. Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.
    4. Allan Hodgson & John Okunev, 2022. "Long term equity risk premiums in the UK and US: A cautionary tale of weak mean reversion," The European Journal of Finance, Taylor & Francis Journals, vol. 28(17), pages 1728-1744, November.
    5. Ramaprasad Bhar, 2010. "Stochastic Filtering with Applications in Finance," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7736, December.
    6. Kothari, S. P., 2001. "Capital markets research in accounting," Journal of Accounting and Economics, Elsevier, vol. 31(1-3), pages 105-231, September.
    7. Owen Lamont, "undated". "Earnings and Expected Returns," CRSP working papers 345, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
    8. Chiang, Raymond & Liu, Peter & Okunev, John, 1995. "Modelling mean reversion of asset prices towards their fundamental value," Journal of Banking & Finance, Elsevier, vol. 19(8), pages 1327-1340, November.
    9. Sadka, Gil & Sadka, Ronnie, 2009. "Predictability and the earnings-returns relation," Journal of Financial Economics, Elsevier, vol. 94(1), pages 87-106, October.
    10. Ball, Ray & Sadka, Gil, 2015. "Aggregate earnings and why they matter," Journal of Accounting Literature, Elsevier, vol. 34(C), pages 39-57.
    11. Ang, Andrew & Liu, Jun, 2007. "Risk, return, and dividends," Journal of Financial Economics, Elsevier, vol. 85(1), pages 1-38, July.
    12. Shi, Zhan, 2019. "Time-varying ambiguity, credit spreads, and the levered equity premium," Journal of Financial Economics, Elsevier, vol. 134(3), pages 617-646.
    13. Polk, Christopher & Thompson, Samuel & Vuolteenaho, Tuomo, 2006. "Cross-sectional forecasts of the equity premium," Journal of Financial Economics, Elsevier, vol. 81(1), pages 101-141, July.
    14. Yoon, Sun-Joong, 2017. "Time-varying risk aversion and return predictability," International Review of Economics & Finance, Elsevier, vol. 49(C), pages 327-339.
    15. Campbell, John Y., 2001. "Why long horizons? A study of power against persistent alternatives," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 459-491, December.
    16. Eugene N. White, 2004. "Bubbles and Busts: The 1990s in the Mirror of the 1920s," FRU Working Papers 2004/09, University of Copenhagen. Department of Economics. Finance Research Unit.
    17. Malmendier, Ulrike & Pouzo, Demian & Vanasco, Victoria, 2020. "Investor experiences and international capital flows," Journal of International Economics, Elsevier, vol. 124(C).
    18. Nelson, C.R. & Kim, M.J., 1990. "Predictable Stock Returns: Reality Or Statistical Illusion?," Working Papers 90-15, University of Washington, Department of Economics.
    19. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    20. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.

    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:taf:apmtfi:v:10:y:2003:i:3:p:229-243. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAMF20 .

    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.