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A valuation model for firms with stochastic earnings 

Author: Steven Li a
Affiliation:   a School of Economics and Finance, Faculty of Business, Queensland University of Technology, Brisbane QLD 4001, Australia
DOI: 10.1080/1350486032000148311
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 10, Issue 3 September 2003 , pages 229 - 243
Formats available: PDF (English)
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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.
Keywords: stochastic earnings; firm valuation; debt valuation
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