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Taxation under Uncertainty – Problems of Dynamic Programming and Contingent Claims Analysis in Real Option Theory

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  • Rainer Niemann
  • Caren Sureth

Abstract

This article deals with the integration of taxes into real option-based investment models under risk neutrality and risk averison. It compares the possible approaches dynamic programming and contingent claims analysis to analyze their effects on the optimal investment rules before and after taxes. It can be shown that despite their different assumptions, dynamic programming and contingent claims analysis yield identical investment thresholds under risk neutrality. In contrast, under risk aversion, there are severe problems in determining an adequate risk-adjusted discount rate. The application of contingent claims analysis is restricted to cases with a dividend rate unaffected by risk. Therefore, only dynamic programming permits an explicit investment threshold without taxation. After taxes, both approaches fail to reach general solutions. Nevertheless, using a sufficient condition, it is possible to derive neutral tax systems under risk aversion as is demonstrated by using dynamic programming.

Suggested Citation

  • 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.
  • Handle: RePEc:ces:ceswps:_709
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    1. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    2. Martin Feldstein, 1987. "The Effects of Taxation on Capital Accumulation," NBER Books, National Bureau of Economic Research, Inc, number feld87-1, december.
    3. Tarek M. Harchaoui & Pierre Lasserre, 1992. "Le choix de capacité comme l'exercice d'une option d'achat financière: Application à la firme minière," Cahiers de recherche du Département des sciences économiques, UQAM 9217, Université du Québec à Montréal, Département des sciences économiques.
    4. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    5. Boadway, Robin & Bruce, Neil, 1984. "A general proposition on the design of a neutral business tax," Journal of Public Economics, Elsevier, vol. 24(2), pages 231-239, July.
    6. Pennings, Enrico, 2000. "Taxes and stimuli of investment under uncertainty," European Economic Review, Elsevier, vol. 44(2), pages 383-391, February.
    7. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    8. Fama, Eugene F., 1977. "Risk-adjusted discount rates and capital budgeting under uncertainty," Journal of Financial Economics, Elsevier, vol. 5(1), pages 3-24, August.
    9. Majd, Saman & Pindyck, Robert S., 1987. "Time to build, option value, and investment decisions," Journal of Financial Economics, Elsevier, vol. 18(1), pages 7-27, March.
    10. Paul A. Samuelson, 1964. "Tax Deductibility of Economic Depreciation to Insure Invariant Valuations," Journal of Political Economy, University of Chicago Press, vol. 72, pages 604-604.
    11. Luis H. R. Alvarez & Vesa Kanniainen, 1997. "Valuation of Irreversible Entry Options under Uncertainty and Taxation," CESifo Working Paper Series 144, CESifo.
    12. Brennan, Geoffrey & McGuire, Thomas, 1975. "Optimal policy choice under uncertainty," Journal of Public Economics, Elsevier, vol. 4(2), pages 205-209, February.
    13. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 707-727.
    14. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    15. Grenadier, Steven R. & Weiss, Allen M., 1997. "Investment in technological innovations: An option pricing approach," Journal of Financial Economics, Elsevier, vol. 44(3), pages 397-416, June.
    16. 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.
    17. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    18. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    19. Rainer Niemann, 1999. "Neutral Taxation under Uncertainty - a Real Options Approach," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 56(1), pages 51-66, March.
    20. Moretto, Michele, 2000. "Irreversible investment with uncertainty and strategic behavior," Economic Modelling, Elsevier, vol. 17(4), pages 589-617, December.
    21. Bogue, Marcus C & Roll, Richard, 1974. "Capital Budgeting of Risky Projects with "Imperfect" Markets for Physical Capital," Journal of Finance, American Finance Association, vol. 29(2), pages 601-613, May.
    22. Morck, Randall & Schwartz, Eduardo & Stangeland, David, 1989. "The Valuation of Forestry Resources under Stochastic Prices and Inventories," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(4), pages 473-487, December.
    23. Nalin Kulatilaka & Alan J. Marcus, 1992. "Project Valuation Under Uncertainty: When Does Dcf Fail?," Journal of Applied Corporate Finance, Morgan Stanley, vol. 5(3), pages 92-100, September.
    24. Mauer, David C. & Ott, Steven H., 1995. "Investment under Uncertainty: The Case of Replacement Investment Decisions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(4), pages 581-605, December.
    25. Elettra Agliardi, 2001. "Taxation and Investment Decisions: A Real Options Approach," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 44-55, March.
    26. Constantinides, George M., 1980. "Admissible uncertainty in the intertemporal asset pricing model," Journal of Financial Economics, Elsevier, vol. 8(1), pages 71-86, March.
    27. Lensink, Robert & Sterken, Elmer, 2001. "Asymmetric information, option to wait to invest and the optimal level of investment," Journal of Public Economics, Elsevier, vol. 79(2), pages 365-374, February.
    28. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
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    More about this item

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H25 - Public Economics - - Taxation, Subsidies, and Revenue - - - Business Taxes and Subsidies

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