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Analytical solution for an investment problem under uncertainties with shocks

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  • Nunes, Cláudia
  • Pimentel, Rita

Abstract

We derive the optimal investment decision in a project where both demand and investment cost are stochastic processes, eventually subject to shocks. We extend the approach used in Dixit and Pindyck (1994) to deal with two sources of uncertainty and we assume that the underlying processes are jump diffusion processes. Assuming certain conditions on the parameters, we are able to derive a closed expression for the value of the firm. Finally, we present comparative statics for the investment threshold with respect to the relevant parameters.

Suggested Citation

  • Nunes, Cláudia & Pimentel, Rita, 2017. "Analytical solution for an investment problem under uncertainties with shocks," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1054-1063.
    • Handle: RePEc:eee:ejores:v:259:y:2017:i:3:p:1054-1063
    DOI: 10.1016/j.ejor.2017.01.008
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    References listed on IDEAS

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    Cited by:

    1. Armerin, Fredrik, 2023. "Investments with declining cost following a Lévy process," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1052-1062.
    2. Hagspiel, Verena & Huisman, Kuno J.M. & Kort, Peter M. & Lavrutich, Maria N. & Nunes, Cláudia & Pimentel, Rita, 2020. "Technology adoption in a declining market," European Journal of Operational Research, Elsevier, vol. 285(1), pages 380-392.
    3. Barbosa, Luciana & Nunes, Cláudia & Rodrigues, Artur & Sardinha, Alberto, 2020. "Feed-in tariff contract schemes and regulatory uncertainty," European Journal of Operational Research, Elsevier, vol. 287(1), pages 331-347.
    4. Nunes, Cláudia & Oliveira, Carlos & Pimentel, Rita, 2021. "Quasi-analytical solution of an investment problem with decreasing investment cost due to technological innovations," Journal of Economic Dynamics and Control, Elsevier, vol. 130(C).
    5. Tine Compernolle & Kuno J. M. Huisman & Peter M. Kort & Maria Lavrutich & Cláudia Nunes & Jacco J. J. Thijssen, 2021. "Investment Decisions with Two-Factor Uncertainty," JRFM, MDPI, vol. 14(11), pages 1-17, November.
    6. Carol Alexander & Xi Chen, 2021. "Model risk in real option valuation," Annals of Operations Research, Springer, vol. 299(1), pages 1025-1056, April.
    7. Støre, Kristian & Fleten, Stein-Erik & Hagspiel, Verena & Nunes, Cláudia, 2018. "Switching from oil to gas production in a depleting field," European Journal of Operational Research, Elsevier, vol. 271(2), pages 710-719.
    8. Thijssen, Jacco J.J., 2022. "Optimal investment and abandonment decisions for projects with construction uncertainty," European Journal of Operational Research, Elsevier, vol. 298(1), pages 368-379.

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