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A valuation model for firms with stochastic earnings

  • Steven Li
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    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.

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    Paper provided by School of Economics and Finance, Queensland University of Technology in its series School of Economics and Finance Discussion Papers and Working Papers Series with number 122.

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    Date of creation: 20 Nov 2002
    Date of revision:
    Handle: RePEc:qut:dpaper:122
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    1. 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.
    2. 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.
    3. 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.
    4. Campbell, J.Y. & Shiller, R.J., 1988. "Stock Prices, Earnings And Expected Dividends," Papers 334, Princeton, Department of Economics - Econometric Research Program.
    5. 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.
    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 449-70, May.
    7. Robert J. Shiller, 1980. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," NBER Working Papers 0456, National Bureau of Economic Research, Inc.
    8. 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.
    9. Terry A. Marsh and Robert C. Merton., 1986. "Dividend Behavior for the Aggregate Stock Market," Research Program in Finance Working Papers 163, University of California at Berkeley.
    10. 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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