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A Review of Optimal Investment Rules in Electricity Generation

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Quantitative Energy Finance

Abstract

This paper provides an introduction to optimal investment rules in electricity generation. It attempts to bring together methods commonly used in practice to assess electricity generation investments as well as the sophisticated tools developed by mathematical economists in the last 30 years. It begins with a description of the fundamentals of the problem (economic context of the energy and electricity sectors, the technical constraints and cost structures of generation technologies). In a second part it recalls the investment rule based on the positivity of the net present value (NPV) together with the standard tools of corporate finance needed to perform this evaluation (CAPM, WACC). This list is completed with the more specific tool of levelised cost of electricity (LCOE) used by electrical utilities and policymakers. The third part of the paper shows how the advances made in the last quarter century by economic theory mainly under the real options trademark challenged the standard investment rule. Using intensively stochastic control theory and its connection with partial differential equations, real options theory was able to assess the effects of key drivers of investment decision: uncertainty, time to build, competitive pressure and strategic interactions. The paper presents models that provided a breakthrough in the analysis of the impact of each of these drivers on investment decision rules. Despite this interest, the conclusion points out remaining obstacles for the adoption of these methods by financial divisions, mainly but not only their high level of technicity. Research guidelines that could help fill this gap are suggested.

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Notes

  1. 1.

    New Policies Scenario is defined as the expected energy demand and capacity growth when current environmental policies and announced regulations are taken into account. See [82, p. 46].

  2. 2.

    European Union: Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Poland, Portugal, Romania, Slovak Republic, Slovenia, Spain, Sweden and United Kingdom.

  3. 3.

    Or even has already passed it. According to World Energy Outlook 2010 (p. 48), world oil production is to stay at 68 mb/d for the next 25 years.

  4. 4.

    Not to be mistaken for capacity factor.

  5. 5.

    1 MT of coal contains broadly 8.2 MWh of heat.

  6. 6.

    http://www.puc-rio.br/marco.ind.

  7. 7.

    The short-term revenue is \(\pi (K,L) = p_{t}{L}^{\alpha }{K}^{1-\alpha }- wL_{t}\), we have \(\max _{L}\pi (K,L) = hp_{t}^{1/(1-\alpha )}K_{t}\) hence \(hp_{t}^{1/(1-\alpha )}\) is the short-term marginal revenue of capital which expected value can be shown to be equal to q.

References

  1. A. B. Abel. Optimal investment under uncertainty. American Economic Review, 73, 228–233 (1983).

    Google Scholar 

  2. A. B. Abel. The effects of uncertainty on investment and the expected long-run capital stock. Journal of Economic Dynamics and Control, 7, 39–54 (1984).

    Article  Google Scholar 

  3. A. B. Abel, A. K. Dixit, J. C. Eberly, and R. C. Pindyck. Options, the value of capital and investment. Quarterly Journal of Economics, 111(3), 753–777 (1996).

    Article  Google Scholar 

  4. R. Aid. Long-term risk for utility companies: The next challenges. Int. Jour. of Theoretical and Applied Finance, 13(4), 517–535 (2010).

    Article  Google Scholar 

  5. F. L. Aguerrevere. Equilibrium investment strategies and output price behavior: A real-options approach. Review of Financial Studies, 16(4), 1239–1272, (2003).

    Article  Google Scholar 

  6. J. M. Allen and K. P. Norris. Project estimates and outcomes in electricity generation research. Journal of Management Studies, (October), 271–287, (1970).

    Google Scholar 

  7. E. Alos, A. Eydeland, and P. Laurence. A Kirk’s and a Bachelier’s formula for three asset spread options. Energy Risk, (September), (2011).

    Google Scholar 

  8. S. Altug. Time-to-build and aggregate fluctuations: Some new evidence. International Economic Review, 30, 889–920 (1989).

    Article  Google Scholar 

  9. K. Arrow and A. Fisher. Environmental preservation, uncertainty and irreversibility. Quarterly Journal of Economics, 88(2), 312–319 (1974).

    Article  Google Scholar 

  10. K. Asea and P. J. Zak. Time-to-build and cycles. Journal of Economic Dynamics and Control, 23(8), 1155–1175 (1999).

    Article  Google Scholar 

  11. K. Back and D. Paulsen. Open-loop equilibria and perfect competition in option exercise games. Review of Financial Studies, 22(11), 4531–4532, (2009).

    Article  Google Scholar 

  12. H. K. Baker, S. Dutta, and S. Saadi. Management views on real options in capital budgeting. Journal of Applied Finance, 21(1), 18–29 (2011).

    Google Scholar 

  13. F. M. Baldursson. Irreversible investment under uncertainty in oligopoly. Journal of Economic Dynamics and Control, 22, 627–647 (1998).

    Article  Google Scholar 

  14. A. Bar-Ilan and W. C. Strange. Investment lags. American Economic Review, 86(3), 610–623, June (1996).

    Google Scholar 

  15. A. Bar-Ilan, A. Sulem, and A. Zanello. Time-to-build and capacity choice. Journal of Economic Dynamics and Control, 26, 69–98 (2002).

    Article  Google Scholar 

  16. A. Bensoussan, G. Da Prato, M. C. Delfour, and S. K. Mitter. Representation and control of infinite dimensional systems. Birkhauser, (2007). 2nd edition.

    Google Scholar 

  17. F. E. Benth, J. S. Benth, and S. Koekebakker. Stochastic Modeling of Electricity and Related Markets. World Scientific Publishing Company, (2008).

    Google Scholar 

  18. H. J. Bierman. Capital budgeting in 1992: A survey. Financial Management, 22(24-xx) (1993).

    Google Scholar 

  19. S. Block. Are ‘Real Options’ actually used in the real world? Engineering Economist, 52(3), 255–267 (2007).

    Article  Google Scholar 

  20. G. Bodnar, G. Hayt, and R. Marston. Wharton survey of financial risk management by US non-financial firms. Financial Management, 27(70–91), (1998).

    Google Scholar 

  21. O. Bokanowski, S. Maroso, and H. Zidani. Some convergence result for Howard’s algorithm. SIAM J. Num. Analysis, 47(4), 3001–3026 (2009).

    Article  Google Scholar 

  22. A. Borison. Real Options analysis: Where are the Emperor’s clothes. Journal of Applied Corporate Finance, 17(2), 17–31 (2005).

    Article  Google Scholar 

  23. B. Bouchard, R. Elie, and C. Imbert. Optimal control under stochastic target constraints. SIAM Journal on Control and Optimization, 48(5), 3501–3531 (2010).

    Article  Google Scholar 

  24. B. Bouchard, R. Elie, and N. Touzi. Stochastic target problems with controlled loss. SIAM Journal on Control and Optimization, 48(5), 3123–3150 (2010).

    Article  Google Scholar 

  25. G. Boyle and G. Guthrie. Payback without apology. Accounting and Finance, 46, 1–10 (2006).

    Article  Google Scholar 

  26. R. Brealy and S. Myers. Principles of Corporate Finance. McGraw Hill Higher Education, (2007). 9th edition.

    Google Scholar 

  27. M. J. Brennan and E. S. Schwartz. Evaluating natural resource investments. Journal of Business, 58(2), 135–157, April (1985).

    Google Scholar 

  28. D. Brounen, A. de Jong, and K. Koedijk. Corporate finance in Europe: Confronting theory with practice. Financial Management, 33(4), 71–101, (2004).

    Google Scholar 

  29. K. C. Brown. The rate of return of selected investment projects. Journal of Finance, 33(4), 1250–1253, (1978).

    Article  Google Scholar 

  30. D. Bunn. Evaluating the effects of privatisation of electricity. Journal of the Operational Research Society, 45, 367–375, (1994).

    Google Scholar 

  31. J. S. Busby and C. G. C. Pitts. Real options in practice: An exploratory survey of how finance officers deal with flexibility in capital appraisal. Management Accounting Research, 8, 169–186, (1997).

    Article  Google Scholar 

  32. B. Bykşahin, M. S. Haigh, J. H. Harris, J. A. Overdahl, and M. A. Robe. Fundamentals, trader activity and derivative pricing. EFA 2009 Bergen Meetings Paper. Available at SSRN: http://ssrn.com/abstract=966692.

  33. R. J. Caballero. On the sign of the investment - uncertainty relation. American Economic Review, 81, 279–288, (1991).

    Google Scholar 

  34. A. Carruth, A. Dickerson, and A. Henley. What do we know about investment under uncertainty? Journal of Economic Surveys, 14(2), 119–153, (2000).

    Article  Google Scholar 

  35. L. Clewlow and C. Strickland. Energy Derivatives. Lacima Group, (2000).

    Google Scholar 

  36. G. M. Constantinides and S. F. Richard. Existence of optimal simple policies for discounted cost inventory and cash management in continuous time. Operations Research, 26(4), 620–636, (1978).

    Google Scholar 

  37. A. Damodaran. The promise of Real Options. Journal of Applied Corporate Finance, 13(2), 29–44, (2000).

    Article  Google Scholar 

  38. Danish Energy Agency. Technology data for energy plants. Technical report, Danish Energy Agency, (2010). ISBNwww: 978-87-7844-857-6.

    Google Scholar 

  39. M. A. G. Dias. The timing of investment in E&P: Uncertainty, irreversibility, learning, and strategic consideration. In Proceedings of 1997 SPE Hydrocarbon Economics and Evaluation Symposium, (1997).

    Google Scholar 

  40. M. A. G. Dias and J. P. Teixeira. Continuous-time option games: A review of models and extensions. Multinational Finance Journal, 14(3–4), 219–254, (2010).

    Google Scholar 

  41. A. Dixit. Entry and exit decisions under uncertainty. Journal of Political Economy, 97(3), 620–638, (1989).

    Article  Google Scholar 

  42. A. Dixit. Investment and hysteresis. Journal of Economic Perspectives, 6(1), 107–132, (1992).

    Article  Google Scholar 

  43. A. Dixit and R. S. Pindyck. Investment Under Uncertainty. Princeton University Press, (1994).

    Google Scholar 

  44. T. Driouchi and D. Bennett. Real options in multinational decision-making: Managerial awareness and risk implications. Journal of World Business, 46, 205–219, (2011).

    Google Scholar 

  45. Y. Du and J. Parsons. Update on the cost of nuclear power. Technical Report WP-09-004, Center for Energy and Environmental Policy, (2009).

    Google Scholar 

  46. D. Duffie. Dynamic Asset Pricing Theory. Princeton University Press, (2001).

    Google Scholar 

  47. A. Ehrenmann and Y. Smeers. Stochastic equilibrium models for generation capacity expansion. Discussion paper 2010/28, CORE, (2010).

    Google Scholar 

  48. R. Epps and C. Mitchem. A comparison of capital budgeting techniques with those used in Japan and Korea. Advances in International Accounting, 7, 205–214, (1994).

    Google Scholar 

  49. A. Eydeland and K. Wolyniec. Energy and Power Risk Management: New Developments in Modeling, Pricing and Hedging. Wiley, (2002).

    Google Scholar 

  50. E. F. Fama and K. R. French. The cross-section of expected stock returns. Journal of Finance, 47,(2), 427–465, (1992).

    Google Scholar 

  51. E. F. Fama and K. R. French. The capital asset pricing model: Theory and evidence. Journal of Economic Perspectives, 18(3), 25–46, (2004).

    Article  Google Scholar 

  52. E. O. Fisher, R. Heinkel, and J. Zechner. Dynamic capital structure choice: Theory and tests. Journal of Finance, 44, 19–40, (1989).

    Article  Google Scholar 

  53. I. Fisher. The Theory of Interest: As Determined by Impatience to Spend Income and Opportunity to Invest. Macmillan, New York, (1930).

    Google Scholar 

  54. S. E. Fleten, K. M. Maribu, and I. Wangensteen. Optimal investment strategies in decentralized renewable power generation under uncertainty. Energy, 32, 803–815, (2007).

    Article  Google Scholar 

  55. A. M. Foley, B. P. Ó Gallachóir, J. Hur, R. Baldick, and E. J. McKeogh. A strategic review of electricity systems models. Energy, 35, 4522–4530, (2010).

    Google Scholar 

  56. A. Ford. System dynamics and the electric power industry. System Dynamics Review, 13(1), 57–85, (1997).

    Article  Google Scholar 

  57. D. Fudenberg and J. Tirole. Understanding rent dissipation: On the use of Game Theory in Industrial Organization. American Economic Review, 77(2), 176–183, (1985).

    Google Scholar 

  58. D. Fudenberg and J. Tirole. Preemption and rent equalization in the adoption of new technology. Review of Economic Studies, 52, 383–401, (1985).

    Article  Google Scholar 

  59. L. Gitman and J. Forrester Jr. A survey of capital budgeting techniques used by major U.S. firms. Financial Management, 6, 66–71, (1977).

    Google Scholar 

  60. L. Gitman and V. Mercurio. Cost of capital techniques used by major U.S. firms: Survey and analysis of Fortune’s 1000. Financial Management, 14, 21–29, (1982).

    Google Scholar 

  61. H. Gman. Commodities and Commodity Derivatives: Modelling and Pricing for Agriculturals, Metals and Energy. Wiley, (2007).

    Google Scholar 

  62. H. Gman and A. Roncoroni. Understanding the fine structure of electricity prices. Journal of Business, 79(3), 1225–1262, (2006).

    Article  Google Scholar 

  63. J. R. Graham and C. R. Harvey. The theory and practice of corporate finance: Evidence from the field. Journal of Financial Economics, 60, 187–243, (2001).

    Article  Google Scholar 

  64. M. R. Grasselli. Getting real with real options: A utility-based approach for finite-time investment in incomplete markets. Journal of Business Finance and Accounting, 38(5), 740–764, (2011).

    Article  Google Scholar 

  65. S. R. Grenadier. Equilibrium with time-to-build: A real options approach. Project Flexibility, Agency and Competition. M. Brennan and L. Trigeorgis (eds), Oxford University Press edition, (2000).

    Google Scholar 

  66. S. R. Grenadier. Option exercise games: An application to the equilibrium investment strategies of firms. Review of Financial Studies, 15(3), 691–721, (2002).

    Article  Google Scholar 

  67. M. Grinblatt and S. Titman. Financial Markets and Corporate Strategy. McGraw Hill Higher Education, (2002). 2nd edition.

    Google Scholar 

  68. H. He and R. S. Pindyck. Investment in flexible production capacity. Journal of Economic Dynamics and Control, 16, 575–599, (1992).

    Article  Google Scholar 

  69. V. Henderson. Valuing the option to invest in incomplete market. Mathematics and Financial Economics, 1(2), 103–128, (2007).

    Article  Google Scholar 

  70. C. Henry. Option values in the economics of irreplaceable assets. Review of Economic Studies, 41, 89–104, (1974).

    Article  Google Scholar 

  71. C. Henry. Investment decisions under uncertainty: The “irreversibility effect”. American Economic Review, 646), 1006–1012, (1974).

    Google Scholar 

  72. J. Houghton. Global Warming: The Complete Briefing. Cambridge University Press, (2009). 4th edition.

    Google Scholar 

  73. R. A. Howard. Dynamic Programming and Markov Processes. MIT Press, (1960).

    Google Scholar 

  74. J. Hugonnier and E. Morellec. Corporate control and real investment in incomplete markets. Journal of Economic Dynamics and Control, 31(5), 1781–1800, (2007).

    Google Scholar 

  75. K. J. M. Huisman. Technology Investment: A Game Theoretic Real Options Approach. Kluwer Academic Publishers, (2001).

    Google Scholar 

  76. Intergovernmental Panel on Climate Change. Climate change 2007: Synthesis report. Technical report, (2007).

    Google Scholar 

  77. International Atomic Energy Agency. Expansion planning for electrical generating systems: A guidebook. Technical Reports Series 241, Vienna, (1984).

    Google Scholar 

  78. International Energy Agency. Projected Costs of Generating Electricity. (1998).

    Google Scholar 

  79. International Energy Agency. Projected Costs of Generating Electricity. (2005).

    Google Scholar 

  80. International Energy Agency. Energy Technology Perspectives. (2008).

    Google Scholar 

  81. International Energy Agency. World Energy Outlook. (2009).

    Google Scholar 

  82. International Energy Agency. World Energy Outlook. (2010).

    Google Scholar 

  83. International Energy Agency. Projected Costs of Generating Electricity. (2010).

    Google Scholar 

  84. M. Jeanblanc, M. Yor, and M. Chesney. Mathematical Methods for Financial Markets. Springer, (2009).

    Google Scholar 

  85. P. Joskow and J. Tirole. Reliability and competitive electricity markets. RAND Journal of Economics, 38(1), 60–84, (2007).

    Article  Google Scholar 

  86. P. J. Joskow. Vertical integration and long-term contracts: The case of coal-burning electric generating plants. Journal of Law, Economics, & Organization, 1(1), 33–80, (1985).

    Google Scholar 

  87. S. Kaplan. Power plants: Characteristics and costs. Congressional Research Services Report for Congress RL34746, US Congress, (2008).

    Google Scholar 

  88. H. Khatib. Economic Evaluation of Projects in the Electricity Supply Industry. Power and Energy Series. The Institution of Electrical Engineer, (2003).

    Book  Google Scholar 

  89. P. Koeva. The facts about time-to-build. IMF Working Paper WP/00/138, IMF, August (2000).

    Google Scholar 

  90. P. Krueger, A. Landier, and D. Thesmar. The WACC fallacy: The real effects of using unique discount rate. 2011. AFA 2012 Chicago Meetings Paper. Available at SSRN: http://ssrn.com/abstract=1764024.

  91. N. Kulatilaka and E. C. Perotti. Strategic growth options. Management Science, 44(8), 1021–1031, (1998).

    Article  Google Scholar 

  92. F. Kydland and E. Prescott. Time-to-build and aggregate fluctuations. Econometrica, 50(6), 1345–1369, (1982).

    Article  Google Scholar 

  93. B. M. Lambrecht and W. Perraudin. Real options and preemption under incomplete information. Journal of Economic Dynamics and Control, 27, 619–643, (2003).

    Article  Google Scholar 

  94. E. Lannoye, M. Milligan, J. Adams, A. Tuohy, H. Chandler, D. Flynn, and M. O’Malley. Integration of variable generation: Capacity value and evaluation of flexibility. IEEE Power and Energy Society General Meeting, (2010).

    Google Scholar 

  95. J. Leahy. Investment in competitive equilibrium: The optimality of myopic behavior. Quarterly Journal of Economics, 108, 1105–1133, (1993).

    Article  Google Scholar 

  96. S. Madj and R. Pindyck. Time-to-build, option value and investment decisions. Journal of Financial Economics, 18, 7–27, (1986).

    Google Scholar 

  97. S. Marglin. Approaches to Dynamic Investment Planning. Amsterdam North-Holland, (1967).

    Google Scholar 

  98. S. A. Marglin. Investment and interest: A reformulation and extension of Keynesian theory. The Economic Journal, 80(320), 910–931, (1970).

    Article  Google Scholar 

  99. J. Martin and S. Titman. Single vs. multiple discount rates: How to limit “influence costs” in the capital allocation process? Journal of Applied Corporate Finance, 20(2), 79–83, (2008).

    Google Scholar 

  100. R. McDonald. Real options and rules of thumb in capital budgeting. Innovation, Infrastructure, and Strategic Options. Brennan, M.J. and Trigeorgis, L., Oxford University Press edition, (1998).

    Google Scholar 

  101. R. McDonald and D. Siegel. The value of waiting to invest. Quarterly Journal of Economics, 101, 707–727, (1986).

    Article  Google Scholar 

  102. R. C. Merton. Continuous-time finance. Wiley-Blackwell, (1992).

    Google Scholar 

  103. E. M. Miller. Uncertainty induced bias in capital budgeting. Financial Management, Autumn: 12–18, (1978).

    Google Scholar 

  104. A. Moel and P. Tufano. When are real options exercised? An empirical study of mine closings. Review of Financial Studies, 15(1), 35–64, (2002).

    Article  Google Scholar 

  105. J. S. Moore and A. K. Reichert. An analysis of the financial management techniques currently employed by large U.S corporations. Journal of Business Finance and Accounting, 10(4), 623–645, (1983).

    Google Scholar 

  106. F. S. Murphy and Y. Smeers. Generation capacity expansion in imperfectly competitive restructured electricity markets. Operations Research, 53(4), 646–661, (2005).

    Article  Google Scholar 

  107. S. C. Myers. Determinants of corporate borrowing. Journal of Financial Economics, 5, 147–175, (1977).

    Article  Google Scholar 

  108. North American Electric Reliability Corporation. Flexibility requirements and metrics for variable generation: Implications of system planning studies. Technical report, NERC, (2010).

    Google Scholar 

  109. R. Novy-Marx. An equilibrium model of investment under uncertainty. Review of Financial Studies,20(7), 1461–1502, (2007).

    Google Scholar 

  110. Nuclear Energy Agency. Reduction of Capital Costs of Nuclear Power Plants. Nuclear Energy Agency, (2000).

    Google Scholar 

  111. H. Pham. Continuous-time Stochastic Control and Optimization with Financial Applications. Springer, (2011).

    Google Scholar 

  112. D. Pilipovic. Energy Risk: Valuing and Managing Energy Derivatives. McGraw-Hill, (1997).

    Google Scholar 

  113. D. Pilipovic. Energy Risk: Valuing and Managing Energy Derivatives. McGraw Hill, (2007). 2nd edition.

    Google Scholar 

  114. R. S. Pindyck. Adjustment costs, uncertainty, and the behavior of the firm. American Economic Review, 72(3), 415–427, (1982).

    Google Scholar 

  115. R. S. Pindyck. Irreversible investment, capacity choice, and the value of the firm. American Economic Review,78(5), 969–985, (1988).

    Google Scholar 

  116. R. S. Pindyck. Irreversibility, uncertainty, and investment. Journal of Economic Literature, 29, 1110–1148, (1991).

    Google Scholar 

  117. R. S. Pindyck. A note on competitive investment under uncertainty. American Economic Review, 83(1), 273–277, (1993).

    Google Scholar 

  118. J. Pinegar and L. Wilbricht. What managers think of capital structure theory: A survey. Financial Management, 18, 82–91, (1989).

    Article  Google Scholar 

  119. G. Pohl and D. Mihaljek. Project evaluation and uncertainty in practice: A statistical analysis of rate-of-return divergences of 1,015 World Bank projects. World Bank Economic Review, 6(2), 255–277, (1992).

    Article  Google Scholar 

  120. A. Porchet, N. Touzi, and X. Warin. Valuation of power plants by utility indifference and numerical computation. Mathematical Methods for Operations Research, 70(1), 47–75, (2007).

    Article  Google Scholar 

  121. J. Quirk and K. Terasawa. Sample selection and cost underestimation bias in pioneer projects. Land Economics, 62(2), 192–200, (1986).

    Article  Google Scholar 

  122. J.-C. Rochet and S. Villeneuve. Corporate portofolio management. Annals of Finance, 1, 225–243, (2005).

    Article  Google Scholar 

  123. F. A. Roques, D. M. Newbery, and W. J. Nuttall. Fuel mix diversification incentives in liberalized electricity markets: A mean-variance portfolio theory approach. Energy Economics, 30, 1831–1849, (2008).

    Article  Google Scholar 

  124. P. A. Ryan and G. P. Ryan. Capital budgeting tools for Fortune 1000: How have things changed? Journal of Business and Management, 8(4), 355–364, (2002).

    Google Scholar 

  125. P. A. Samuelson. Rational theory of warrant pricing. Industrial Management Review, 6(2), 13–32, (1965).

    Google Scholar 

  126. A. Sangster. Capital investment appraisal techniques: A survey of current usage. Journal of Business Finance and Accounting, 20, 307–332, (1993).

    Article  Google Scholar 

  127. H. Scarf. The optimality of (S, s) policies in the dynamic inventory problem. In K. J. Arrow, S. Karlin, and S. Suppes, editors, Mathematical Methods in Social Sciences, pages 196–202. Stanford University Press, (1959).

    Google Scholar 

  128. E. Schwartz. Valuing long-term commodity assets. Journal of Energy Finance and Development, 3(2), 85–99, (1998).

    Article  Google Scholar 

  129. L. Shao and A. Shao. Risk analysis and capital budgeting techniques of U. S. multinational enterprises. Managerial Finance, 22, 41–47, (1996).

    Article  Google Scholar 

  130. W. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19, 425–42, (1964).

    Google Scholar 

  131. F. P. Sioshansi. Electricity market reform: What has the experience taught us thus far? Utilities Policy, 14(2), 63–75, (2006).

    Article  Google Scholar 

  132. F. P. Sioshansi and W. Pfaffenberger. Electricity Market Reform: An International Perspective. Elsevier, (2006).

    Google Scholar 

  133. F. Smets. Essays on foreign direct investment. PhD thesis, Yale University, (1993).

    Google Scholar 

  134. H. T. J. Smit and L. Trigeorgis. Strategic Investment Real Options and Games. Princeton University Press, (2004).

    Google Scholar 

  135. S. C. Spatt and F. P. Sterbenz. Learning, preemption and the degree of rivalry. RAND Journal of Economics, 16(1), 84–92, (1985).

    Article  Google Scholar 

  136. M. Stanley and S. Block. A survey of multinational capital budgeting. The Financial Review, 19, 36–54, (1984).

    Article  Google Scholar 

  137. M. Statman and T. T. Tyebjee. Optimistic capital budgeting forecasts: An experiment. Financial Management, (Autumn), 27–33, (1985).

    Google Scholar 

  138. N. Stern. The Economics of Climate Change: The Stern’s Review. Cambridge University Press, (2010).

    Google Scholar 

  139. A. Sulem. A solvable one-dimensional model of a diffusion inventory system. Mathematics of Operations Research, 11, 125–133, (1986).

    Article  Google Scholar 

  140. J. Thijssen. Investment under Uncertainty, Market Evolution and Coalition Spillovers in a Game Theoretic Framework. Kluwer Academic Publishers, (2004).

    Google Scholar 

  141. E. Trahan and L. Gitman. Bridging the theory-practice gap in corporate finance: A survey of chief financial officers. Quarterly Review of Economics and Finance, 35, 73–87, (1988).

    Article  Google Scholar 

  142. A. Triantis and A. Borison. Real options: State of the practice. Journal of Applied Corporate Finance, 14, 8–14, (2001).

    Article  Google Scholar 

  143. N.-H. M. von der Fehr and P. V. Hansen. Electricity retailing in Norway. The Energy Journal, 13(1), 25–45, (2010).

    Google Scholar 

  144. A. Vuorinen. Planning of Optimal Power Systems. Ekoenergo Oy, (2009).

    Google Scholar 

  145. J. T. Williams.: Equilibrium and options on real assets. Review of Financial Studies, 6(4), 825–850 (1993).

    Google Scholar 

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  1. EDF R&D, 1 avenue du Général de Gaulle, 92 141, Clamart, France

    René Aïd

  2. Finance for Energy Market Research Centre, Clamart, France

    René Aïd

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  1. Center of Mathematics for Applications, University of Oslo, Oslo, Norway

    Fred Espen Benth

  2. Verbund Trading AG, Vienna, Austria

    Valery A. Kholodnyi

  3. Dipartimento di Matematica, University di Roma, La Sapienza, Rome, Italy

    Peter Laurence

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Aïd, R. (2014). A Review of Optimal Investment Rules in Electricity Generation. In: Benth, F., Kholodnyi, V., Laurence, P. (eds) Quantitative Energy Finance. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7248-3_1

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