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Valuing an investment project using no-arbitrage and the alpha-maxmin criteria: From Knightian uncertainty to risk

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  • Braouezec, Yann
  • Joliet, Robert

Abstract

We consider a two-period irreversible investment decision problem in which the firm can either invest in period 0 or in period 1. The firm is assumed to be able to specify a set of three scenarios or more but not a probability measure. Assuming the option to wait is valued with the no-arbitrage principle, when the firm makes use of the criteria α-maxmin, we show the firm ends up with a known probability measure that assigns a positive probability to three or four scenarios only.

Suggested Citation

  • Braouezec, Yann & Joliet, Robert, 2019. "Valuing an investment project using no-arbitrage and the alpha-maxmin criteria: From Knightian uncertainty to risk," Economics Letters, Elsevier, vol. 178(C), pages 111-115.
  • Handle: RePEc:eee:ecolet:v:178:y:2019:i:c:p:111-115
    DOI: 10.1016/j.econlet.2019.03.007
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    1. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    2. Yann Braouezec & Cyril Grunspan, 2016. "A new elementary geometric approach to option pricing bounds in discrete time models," Post-Print hal-01744439, HAL.
    3. I. Gilboa & W. A. Postlewaite & D. Schmeidler, 2009. "Probability and Uncertainty in Economic Modeling," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 10.
    4. Nishimura, Kiyohiko G. & Ozaki, Hiroyuki, 2007. "Irreversible investment and Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 136(1), pages 668-694, September.
    5. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    6. Braouezec, Yann & Grunspan, Cyril, 2016. "A new elementary geometric approach to option pricing bounds in discrete time models," European Journal of Operational Research, Elsevier, vol. 249(1), pages 270-280.
    7. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    8. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    9. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    10. 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.
    11. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M., 2015. "Put–Call Parity and market frictions," Journal of Economic Theory, Elsevier, vol. 157(C), pages 730-762.
    12. Marek Musiela & Thaleia Zariphopoulou, 2004. "A valuation algorithm for indifference prices in incomplete markets," Finance and Stochastics, Springer, vol. 8(3), pages 399-414, August.
    13. Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2007. "Probabilities in Economic Modeling," PIER Working Paper Archive 07-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    14. Varian, Hal R, 1987. "The Arbitrage Principle in Financial Economics," Journal of Economic Perspectives, American Economic Association, vol. 1(2), pages 55-72, Fall.
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    More about this item

    Keywords

    Knightian uncertainty; Investment decision; Option to wait; No-arbitrage; α-maxmin;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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