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Investment under uncertainty: calculating the value function when the Bellman equation cannot be solved analytically

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  • Dangl, Thomas
  • Wirl, Franz

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  • Dangl, Thomas & Wirl, Franz, 2004. "Investment under uncertainty: calculating the value function when the Bellman equation cannot be solved analytically," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1437-1460, April.
    • Handle: RePEc:eee:dyncon:v:28:y:2004:i:7:p:1437-1460
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    1. Hull, John & White, Alan, 1990. "Valuing Derivative Securities Using the Explicit Finite Difference Method," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(1), pages 87-100, March.
    2. Brennan, Michael J & Schwartz, Eduardo S, 1977. "The Valuation of American Put Options," Journal of Finance, American Finance Association, vol. 32(2), pages 449-462, May.
    3. Kalyan Raman & Rabikar Chatterjee, 1995. "Optimal Monopolist Pricing Under Demand Uncertainty in Dynamic Markets," Management Science, INFORMS, vol. 41(1), pages 144-162, January.
    4. Bardia Kamrad & Peter Ritchken, 1991. "Multinomial Approximating Models for Options with k State Variables," Management Science, INFORMS, vol. 37(12), pages 1640-1652, December.
    5. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    6. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    7. Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 461-474, September.
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    Cited by:

    1. Zdenìk Zmeškal, 2008. "Application of the American Real Flexible Switch Options Methodology A Generalized Approach," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 58(05-06), pages 261-275, August.
    2. Elverhøi, Morten & Fleten, Stein-Erik & Fuss, Sabine & Heggedal, Ane Marte & Szolgayova, Jana & Troland, Ole Christian, 2010. "Evaluation of hydropower upgrade projects - a real options approach," MPRA Paper 23005, University Library of Munich, Germany.
    3. Gryglewicz, Sebastian & Huisman, Kuno J.M. & Kort, Peter M., 2008. "Finite project life and uncertainty effects on investment," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2191-2213, July.
    4. Feng Song & Jinhua Zhao & Scott M. Swinton, 2011. "Switching to Perennial Energy Crops Under Uncertainty and Costly Reversibility," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 93(3), pages 764-779.
    5. Fulvio Fontini & Katrin Millock & Michele Moretto, 2018. "Collective reputation with stochastic production and unknown willingness to pay for quality," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 20(2), pages 387-410, April.
    6. Guglielmo Caporale & Mario Cerrato, 2010. "Using Chebyshev Polynomials to Approximate Partial Differential Equations," Computational Economics, Springer;Society for Computational Economics, vol. 35(3), pages 235-244, March.
    7. Mosiño, Alejandro & Pommeret, Aude, 2015. "Switching to clean(er) technologies in a stochastic environment," MPRA Paper 83841, University Library of Munich, Germany.
    8. Stefanie Engel & Charles Palmer & Luca Taschini & Simon Urech, 2012. "Cost-effective payments for reducing emissions from deforestation under uncertainty," GRI Working Papers 72, Grantham Research Institute on Climate Change and the Environment.
    9. Schwanitz, Valeria Jana & Wierling, August, 2016. "Offshore wind investments – Realism about cost developments is necessary," Energy, Elsevier, vol. 106(C), pages 170-181.
    10. Engel, Stefanie & Palmer, Charles & Taschini, Luca & Urech, Simon, 2011. "The Design of Payments for Avoided Deforestation Under Uncertainty: Insight from Real Option Theory," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114816, European Association of Agricultural Economists.
    11. Walsh, D.M. & O'Sullivan, K. & Lee, W.T. & Devine, M.T., 2014. "When to invest in carbon capture and storage technology: A mathematical model," Energy Economics, Elsevier, vol. 42(C), pages 219-225.
    12. Gaowang Wang & Heng-fu Zou, 2010. "Multiple Equilibria and Indeterminacy in an Optimal Growth Model with Endogenous Capital Depreciation," CEMA Working Papers 392, China Economics and Management Academy, Central University of Finance and Economics.
    13. Palmer, Charles & Taschini, Luca & Laing, Timothy, 2017. "Getting more ‘carbon bang’ for your ‘buck’ in Acre State, Brazil," Ecological Economics, Elsevier, vol. 142(C), pages 214-227.
    14. Wirl, Franz, 2006. "Consequences of irreversibilities on optimal intertemporal CO2 emission policies under uncertainty," Resource and Energy Economics, Elsevier, vol. 28(2), pages 105-123, May.
    15. Jaakkola, Niko, 2019. "Carbon taxation, OPEC and the end of oil," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 101-117.
    16. Dorothée Charlier & Alejandro Mosino & Aude Pommeret, 2011. "Energy-saving Technology Adoption under Uncertainty in the Residential Sector," Annals of Economics and Statistics, GENES, issue 103-104, pages 43-70.
    17. Mosiño, Alejandro, 2012. "Producing energy in a stochastic environment: Switching from non-renewable to renewable resources," Resource and Energy Economics, Elsevier, vol. 34(4), pages 413-430.
    18. Polychronis Manousopoulos & Michalis Michalopoulos, 2015. "Term structure of interest rates estimation using rational Chebyshev functions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 38(2), pages 119-146, October.
    19. Jaime A. Londo~no, 2006. "State Dependent Utility," Papers math/0603316, arXiv.org.
    20. Alejandro Mosiño, 2012. "Using Chebyshev Polynomials to Approximate Partial Differential Equations: A Reply," Computational Economics, Springer;Society for Computational Economics, vol. 39(1), pages 13-27, January.
    21. Stefanie Engel & Charles Palmer & Luca Taschini & Simon Urech, 2015. "Conservation Payments under Uncertainty," Land Economics, University of Wisconsin Press, vol. 91(1), pages 36-56.

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