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Valuation of Irreversible Entry Options under Uncertainty and Taxation

Author

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  • Luis H. R. Alvarez
  • Vesa Kanniainen

Abstract

We analyze the tax effects on a potential firm with an irreversible entry option and subject to risky post-entry earnings. We formulate the problem in terms of optimal stopping and derive both the necessary conditions for optimal entry and the value of the optimal premium by relying on the classical theory of diffusions and the Greenian representation of the stochastic value functional. We show that to make the entry option invariant with respect to the tax policy when the government owns a call option on a fraction of firm's earnings, the tax allowance has to satisfy a first-order non-linear differential equation. We derive qualitive results for the neutrality of the tax policy. Using standard geometric Brownian motion to model price uncertainty, we provide examples of the requirements for tax invariance. The Johansson-Samuelson theorem is re-examined.

Suggested Citation

  • Luis H. R. Alvarez & Vesa Kanniainen, 1997. "Valuation of Irreversible Entry Options under Uncertainty and Taxation," CESifo Working Paper Series 144, CESifo.
    • Handle: RePEc:ces:ceswps:_144
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    Citations

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    Cited by:

    1. Rainer Niemann & Caren Sureth, 2002. "Taxation under Uncertainty – Problems of Dynamic Programming and Contingent Claims Analysis in Real Option Theory," CESifo Working Paper Series 709, CESifo.
    2. Luis Alvarez & Vesa Kanniainen & Jan Södersten, 1999. "Why is the Corporation Tax Not Neutral?. Anticipated Tax Reform, Investment Spurts and Corporate Borrowing," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 56(3/4), pages 285-285, July.
    3. Paolo Panteghini, 2001. "On Corporate Tax Asymmetries and Neutrality," German Economic Review, Verein für Socialpolitik, vol. 2(3), pages 269-286, August.
    4. Hans-Werner Sinn, 1999. "Inflation and Welfare: Comment on Robert Lucas," NBER Working Papers 6979, National Bureau of Economic Research, Inc.
    5. Hjalmar Boehm & Michael Funke, 2000. "Optimal Investment Strategies under Demand and Tax Policy Uncertainty," CESifo Working Paper Series 311, CESifo.
    6. Vesa Kanniainen & Paolo M. Panteghini, 2013. "Tax Neutrality: Illusion or Reality? The Case of Entrepreneurship," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 69(2), pages 167-193, June.
    7. Ramón E. López & Pablo Gutiérrez Cubillos & Eugenio Figueroa, 2020. "The Tax Paradox and Weak Tax Neutrality," Southern Economic Journal, John Wiley & Sons, vol. 86(3), pages 1150-1169, January.
    8. Paolo M. Panteghini, 2005. "Asymmetric Taxation under Incremental and Sequential Investment," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(5), pages 761-779, December.
    9. Caren Sureth, 2002. "Partially Irreversible Investment Decisions and Taxation under Uncertainty: A Real Option Approach," German Economic Review, Verein für Socialpolitik, vol. 3(2), pages 185-221, May.
    10. Luis H. R. Alvarez & Erkki Koskela, 2008. "Progressive Taxation, Tax Exemption, and Irreversible Investment under Uncertainty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(1), pages 149-169, February.
    11. Paolo Panteghini & Guttorm Schjelderup, 2006. "To Invest or not to Invest: A real options approach to FDIs and tax competition," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 13(6), pages 643-660, November.

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