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Real Options under Choquet-Brownian Ambiguity

Author

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  • David Roubaud

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • André Lapied

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Robert Kast

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract

Real options models characterized by the presence of ambiguity have been recently proposed. But based on recursive multiple-priors approaches to solve ambiguity, these seminal models reduce individual preferences to extreme pessimism by considering only the worst case scenario. In contrast, by relying on dynamically consistent Choquet-Brownian motions to model the dynamics of ambiguous expected cash flows, we show that a much broader spectrum of attitudes towards ambiguity may be accounted for. In the case of a perpetual real option to invest, ambiguity aversion delays the moment of exercise of the option, while the opposite holds true for an ambiguity lover.

Suggested Citation

  • David Roubaud & André Lapied & Robert Kast, 2010. "Real Options under Choquet-Brownian Ambiguity," Working Papers halshs-00534027, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00534027
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00534027
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    Cited by:

    1. So, Leh-chyan, 2013. "Are Real Options “Real”? Isolating Uncertainty from Risk in Real Options Analysis," MPRA Paper 52493, University Library of Munich, Germany.
    2. Kast, Robert & Lapied, André & Roubaud, David, 2014. "Modelling under ambiguity with dynamically consistent Choquet random walks and Choquet–Brownian motions," Economic Modelling, Elsevier, vol. 38(C), pages 495-503.
    3. Leh-Chyan So, 2014. "Are Real Options "Real"? Isolating Uncertainty From Risk In Real Options Analysis," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 1-18.
    4. Flor, Christian Riis & Hesel, Søren, 2015. "Uncertain dynamics, correlation effects, and robust investment decisions," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 278-298.
    5. David Roubaud & Alain Lapied & Robert Kast, 2017. "Modelling under ambiguity with two correlated Choquet-Brownian motions," Economics Bulletin, AccessEcon, vol. 37(2), pages 1012-1020.
    6. Álvaro Cartea & Sebastian Jaimungal, 2017. "Irreversible Investments And Ambiguity Aversion," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(07), pages 1-26, November.
    7. Tarik Driouchi & Lenos Trigeorgis & Raymond H. Y. So, 2018. "Option implied ambiguity and its information content: Evidence from the subprime crisis," Annals of Operations Research, Springer, vol. 262(2), pages 463-491, March.
    8. David Roubaud, 2022. "A real option to divest with two correlated sources of ambiguity," Economics Bulletin, AccessEcon, vol. 42(2), pages 591-602.

    More about this item

    Keywords

    Real Options; Ambiguity; Irreversible investment; Optimal stopping; Knightian uncertainty; Choquet-Brownian motions;
    All these keywords.

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