A real options model for electricity capacity expansion
AbstractThis paper proposes a real option capacity expansion model for power generation with several technologies that differ in operation and investment costs. The economy is assumed perfectly competitive and the instantaneous payoff accruing from the generation system is the instantaneous welfare defined as the usual sum of consumer and producer surplus. The computation of this welfare requires the solution of a multi- technology optimization problem and the obtained optimal function value is not additively separable in generation capacities, contrary to what is generally assumed in multi asset real option models to prove the optimality of a myopic behavior. Using the geometric Brownian motion as uncertainty driver we propose two regression models to approximate the instantaneous welfare. A first, additively separable approximation implies the optimality of myopia. The second approximation is non separable and hence forces to take myopic behavior as an assumption. Using myopia as an assumption, we propose a semi-analytic method which combines Monte Carlo simulations (used to compute the value of the marginal capacity) and analytical treatment (to solve an optimal stopping problem on a regression scheme).
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Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2011044.
Date of creation: 01 Oct 2011
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real options; capacity expansion; power investment; optimal dispatch;
Find related papers by JEL classification:
- L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
- L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
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- Ioannis Karatzas & Fridrik M. Baldursson, 1996. "Irreversible investment and industry equilibrium (*)," Finance and Stochastics, Springer, vol. 1(1), pages 69-89.
- Duranton, Gilles & Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2010. "The Economics of Clusters: Lessons from the French Experience," OUP Catalogue, Oxford University Press, number 9780199592203.
- Fleurbaey,Marc & Maniquet,François, 2011.
"A Theory of Fairness and Social Welfare,"
Cambridge University Press, number 9780521887427, December.
- Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-57, April.
- Abadie, Luis M. & Chamorro, José M., 2008. "European CO2 prices and carbon capture investments," Energy Economics, Elsevier, vol. 30(6), pages 2992-3015, November.
- Abadie, Luis M. & Chamorro, José M., 2008.
"Valuing flexibility: The case of an Integrated Gasification Combined Cycle power plant,"
Elsevier, vol. 30(4), pages 1850-1881, July.
- Chamorro Gómez, José Manuel & Abadie, Luis M., 2005. "Valuing Flexibility: The case of an Integrated Gasification Combined Cycle Power Plant," IKERLANAK 2005-21, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
- Belleflamme,Paul & Peitz,Martin, 2010. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9780521681599, December.
- Abadie, Luis M. & Chamorro, José M., 2009.
"Monte Carlo valuation of natural gas investments,"
Review of Financial Economics,
Elsevier, vol. 18(1), pages 10-22, January.
- Pindyck, Robert S., 1993.
"Investments of uncertain cost,"
Journal of Financial Economics,
Elsevier, vol. 34(1), pages 53-76, August.
- Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-81, September.
- Fleten, Stein-Erik & Näsäkkälä, Erkka, 2010. "Gas-fired power plants: Investment timing, operating flexibility and CO2 capture," Energy Economics, Elsevier, vol. 32(4), pages 805-816, July.
- Leahy, John V, 1993. "Investment in Competitive Equilibrium: The Optimality of Myopic Behavior," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1105-33, November.
- Nicola Secomandi, 2010. "On the Pricing of Natural Gas Pipeline Capacity," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 393-408, October.
- Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
- Bar-Ilan, Avner & Strange, William C., 1998. "A model of sequential investment," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 437-463, March.
- Décamps, Jean-Paul & Mariotti, Thomas & Villeneuve, Stéphane, 2003.
"Irreversible Investment in Alternative Projects,"
IDEI Working Papers
193, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jul 2004.
- Alvarez, Luis H. R., 2000. "Singular stochastic control in the presence of a state-dependent yield structure," Stochastic Processes and their Applications, Elsevier, vol. 86(2), pages 323-343, April.
- Avinash Dixit, 1992. "Investment and Hysteresis," Journal of Economic Perspectives, American Economic Association, vol. 6(1), pages 107-132, Winter.
- Anders ûksendal, 2000. "Irreversible investment problems," Finance and Stochastics, Springer, vol. 4(2), pages 223-250.
- Erkka Näsäkkälä & Stein- Erik Fleten, 2004.
"Flexibility and Technology Choice in Gas Fired Power Plant Investments,"
0405004, EconWPA, revised 06 Apr 2006.
- Nasakkala, Erkka & Fleten, Stein-Erik, 2005. "Flexibility and technology choice in gas fired power plant investments," Review of Financial Economics, Elsevier, vol. 14(3-4), pages 371-393.
- Dixit, A., 1988.
"Entry And Exit Decisions Under Uncertainty,"
91, Princeton, Department of Economics - Financial Research Center.
- Bar-Ilan, Avner & Strange, William C., 1999. "The Timing and Intensity of Investment," Journal of Macroeconomics, Elsevier, vol. 21(1), pages 57-77, January.
- Dixit, Avinash, 1995. "Irreversible investment with uncertainty and scale economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 327-350.
- McDonald, Robert & Siegel, Daniel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 707-27, November.
- Dangl, Thomas, 1999. "Investment and capacity choice under uncertain demand," European Journal of Operational Research, Elsevier, vol. 117(3), pages 415-428, September.
- Kerry Back & Dirk Paulsen, 2009. "Open-Loop Equilibria and Perfect Competition in Option Exercise Games," Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4531-4552, November.
- Felipe L. Aguerrevere, 2003. "Equilibrium Investment Strategies and Output Price Behavior: A Real-Options Approach," Review of Financial Studies, Society for Financial Studies, vol. 16(4), pages 1239-1272.
- Bar-Ilan, Avner & Strange, William C, 1996. "Investment Lags," American Economic Review, American Economic Association, vol. 86(3), pages 610-22, June.
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