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A valuation model for firms with stochastic earnings

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  • Steven Li
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    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.

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    File URL: http://www.tandfonline.com/doi/abs/10.1080/1350486032000148311
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Applied Mathematical Finance.

    Volume (Year): 10 (2003)
    Issue (Month): 3 ()
    Pages: 229-243

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    Handle: RePEc:taf:apmtfi:v:10:y:2003:i:3:p:229-243

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    Web page: http://www.tandfonline.com/RAMF20

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    Related research

    Keywords: stochastic earnings; firm valuation; debt valuation;

    References

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    1. Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    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. Campbell, J.Y. & Shiller, R.J., 1988. "Stock Prices, Earnings And Expected Dividends," Papers 334, Princeton, Department of Economics - Econometric Research Program.
    4. D. Epstein & N.Mayor & P.Schonbucher & A.E. Whalley & P. Wilmott, 1999. "The Valuation of a Firm Advertising Optimally," OFRC Working Papers Series 1999mf01, Oxford Financial Research Centre.
    5. 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 421-36, June.
    6. 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.
    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 351-67, May.
    8. 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 637-54, May-June.
    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.
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    Cited by:
    1. Gryglewicz, S. & Huisman, K.J.M. & Kort, P.M., 2006. "Finite Project Life and Uncertainty Effects on Investment," Discussion Paper 2006-124, Tilburg University, Center for Economic Research.

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