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A valuation model for firms with stochastic earnings

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  • Steven Li

Abstract

In this paper, a model is set up for valuing a firm with stochastic earnings. It is assumed that the earnings of the considered 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. Special cases are discussed. 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.

Suggested Citation

  • 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.
  • Handle: RePEc:qut:dpaper:122
    as

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    File URL: http://external-apps.qut.edu.au/business/documents/discussionPapers/2002/Li,%20S%20-%20No.%20122.pdf
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    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.
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    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
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