IDEAS home Printed from https://ideas.repec.org/a/eee/eneeco/v111y2022ics0140988322002493.html
   My bibliography  Save this article

Optimal technology adoption for power generation

Author

Listed:
  • Detemple, Jerome
  • Kitapbayev, Yerkin

Abstract

We examine the decision problem of a power producer contemplating an upgrade of its current generation capacity based on a fossil fuel technology (gas plant), when price processes have affine drift and differentiable volatility functions. The operator can choose the best of four mutually exclusive alternatives, continue operating the current technology, replace it by a more efficient fossil fuel technology (gas plant), replace it by a renewable technology (wind plant), and divest (liquidate). There are four corresponding decision regions with three boundaries. Optimal boundaries of regions are characterized through a trivariate system of coupled Fredholm equations and valuation formulas derived. Investing in a more efficient gas plant is optimal if the gas price falls below some threshold and the electricity price exceeds an associated (gas) boundary. For some parameters, the gas price must also exceed a lower threshold. Investing in a wind plant is optimal if the gas price becomes sufficiently high and the electricity price exceeds an associated (wind) boundary. Liquidation is optimal if the electricity price falls below a (liquidation) boundary. The continuation region lies in between these boundaries. The possibility of investing in wind displaces new gas investment and postpones liquidation of the existing gas plant. We study the value of the firm and the Green Energy premium, and assess the impact of model parameters.

Suggested Citation

  • Detemple, Jerome & Kitapbayev, Yerkin, 2022. "Optimal technology adoption for power generation," Energy Economics, Elsevier, vol. 111(C).
    • Handle: RePEc:eee:eneeco:v:111:y:2022:i:c:s0140988322002493
    DOI: 10.1016/j.eneco.2022.106085
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0140988322002493
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.eneco.2022.106085?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Patrick Jaillet & Damien Lamberton & Bernard Lapeyre, 1990. "Variational inequalities and the pricing of American options," Post-Print hal-01667008, HAL.
    2. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    3. Brauneis, Alexander & Mestel, Roland & Palan, Stefan, 2013. "Inducing low-carbon investment in the electric power industry through a price floor for emissions trading," Energy Policy, Elsevier, vol. 53(C), pages 190-204.
    4. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    5. Detemple, Jerome & Kitapbayev, Yerkin, 2020. "The value of green energy under regulation uncertainty," Energy Economics, Elsevier, vol. 89(C).
    6. Mark Broadie & Jérôme Detemple, 1997. "The Valuation of American Options on Multiple Assets," Mathematical Finance, Wiley Blackwell, vol. 7(3), pages 241-286, July.
    7. Abadie, Luis M. & Chamorro, José M., 2008. "Valuing flexibility: The case of an Integrated Gasification Combined Cycle power plant," Energy Economics, Elsevier, vol. 30(4), pages 1850-1881, July.
    8. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    9. Nelson, Daniel B & Ramaswamy, Krishna, 1990. "Simple Binomial Processes as Diffusion Approximations in Financial Models," Review of Financial Studies, Society for Financial Studies, vol. 3(3), pages 393-430.
    10. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    11. 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.
    12. Bobtcheff, Catherine & Villeneuve, Stéphane, 2010. "Technology choice under several uncertainty sources," European Journal of Operational Research, Elsevier, vol. 206(3), pages 586-600, November.
    13. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    14. Fleten, S.-E. & Maribu, K.M. & Wangensteen, I., 2007. "Optimal investment strategies in decentralized renewable power generation under uncertainty," Energy, Elsevier, vol. 32(5), pages 803-815.
    15. Karl Magnus Maribu & Alain Galli & Margaret Armstrong, 2007. "Valuation of spark-spread options with mean reversion and stochastic volatility," Post-Print hal-00797875, HAL.
    16. Jean-Paul Décamps & Thomas Mariotti & Stéphane Villeneuve, 2006. "Irreversible investment in alternative projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 425-448, June.
    17. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    18. Brennan, Michael J. & Schwartz, Eduardo S., 1980. "Analyzing Convertible Bonds," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(4), pages 907-929, November.
    19. Siddiqui, Afzal & Fleten, Stein-Erik, 2010. "How to proceed with competing alternative energy technologies: A real options analysis," Energy Economics, Elsevier, vol. 32(4), pages 817-830, July.
    20. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    21. Kim, In Joon, 1990. "The Analytic Valuation of American Options," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 547-572.
    22. 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.
    23. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    24. Peter Carr & Robert Jarrow & Ravi Myneni, 2008. "Alternative Characterizations Of American Put Options," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 5, pages 85-103, World Scientific Publishing Co. Pte. Ltd..
    25. Luca Capriotti & Yupeng Jiang & Gaukhar Shaimerdenova, 2019. "Approximation Methods For Inhomogeneous Geometric Brownian Motion," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 1-16, March.
    26. Jerome Detemple & Yerkin Kitapbayev & Philip Strahan, 2020. "The Value of Green Energy: Optimal Investment in Mutually Exclusive Projects and Operating Leverage," Review of Financial Studies, Society for Financial Studies, vol. 33(7), pages 3307-3347.
    27. Boomsma, Trine Krogh & Meade, Nigel & Fleten, Stein-Erik, 2012. "Renewable energy investments under different support schemes: A real options approach," European Journal of Operational Research, Elsevier, vol. 220(1), pages 225-237.
    28. McDonald, Robert L & Siegel, Daniel R, 1985. "Investment and the Valuation of Firms When There Is an Option to Shut Down," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 331-349, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Hongyan & Zhang, Lin, 2023. "Public support and energy innovation: Why do firms react differently?," Energy Economics, Elsevier, vol. 119(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jerome Detemple & Yerkin Kitapbayev, 2021. "Optimal Power Investment and Pandemics: A Micro-Economic Analysis," Energies, MDPI, vol. 14(4), pages 1-25, February.
    2. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    3. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    4. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
    5. Schachter, J.A. & Mancarella, P., 2016. "A critical review of Real Options thinking for valuing investment flexibility in Smart Grids and low carbon energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 261-271.
    6. Cheng, Cheng & Wang, Zhen & Liu, Mingming & Chen, Qiang & Gbatu, Abimelech Paye & Ren, Xiaohang, 2017. "Defer option valuation and optimal investment timing of solar photovoltaic projects under different electricity market systems and support schemes," Energy, Elsevier, vol. 127(C), pages 594-610.
    7. Minqiang Li, 2010. "A quasi-analytical interpolation method for pricing American options under general multi-dimensional diffusion processes," Review of Derivatives Research, Springer, vol. 13(2), pages 177-217, July.
    8. Chuang-Chang Chang & Jun-Biao Lin & Wei-Che Tsai & Yaw-Huei Wang, 2012. "Using Richardson extrapolation techniques to price American options with alternative stochastic processes," Review of Quantitative Finance and Accounting, Springer, vol. 39(3), pages 383-406, October.
    9. Carlos Andrés Zapata Quimbayo, 2020. "OPCIONES REALES Una guía teórico-práctica para la valoración de inversiones bajo incertidumbre mediante modelos en tiempo discreto y simulación de Monte Carlo," Books, Universidad Externado de Colombia, Facultad de Finanzas, Gobierno y Relaciones Internacionales, number 138, April.
    10. Ravi Kashyap, 2022. "Options as Silver Bullets: Valuation of Term Loans, Inventory Management, Emissions Trading and Insurance Risk Mitigation using Option Theory," Annals of Operations Research, Springer, vol. 315(2), pages 1175-1215, August.
    11. Oleksandr Zhylyevskyy, 2010. "A fast Fourier transform technique for pricing American options under stochastic volatility," Review of Derivatives Research, Springer, vol. 13(1), pages 1-24, April.
    12. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    13. Nishihara, Michi & Shibata, Takashi, 2013. "The effects of external financing costs on investment timing and sizing decisions," Journal of Banking & Finance, Elsevier, vol. 37(4), pages 1160-1175.
    14. Joachim Gahungu and Yves Smeers, 2012. "A Real Options Model for Electricity Capacity Expansion," RSCAS Working Papers 2012/08, European University Institute.
    15. Zhang, Mingming & Zhou, Dequn & Zhou, Peng, 2014. "A real option model for renewable energy policy evaluation with application to solar PV power generation in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 40(C), pages 944-955.
    16. Ravi Kashyap, 2016. "Options as Silver Bullets: Valuation of Term Loans, Inventory Management, Emissions Trading and Insurance Risk Mitigation using Option Theory," Papers 1609.01274, arXiv.org, revised Mar 2022.
    17. GAHUNGU, Joachim & SMEERS, Yves, 2011. "A real options model for electricity capacity expansion," LIDAM Discussion Papers CORE 2011044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Michail Chronopoulos, Derek Bunn, and Afzal Siddiqui, 2014. "Optionality and Policymaking in Re-Transforming the British Power Market," Economics of Energy & Environmental Policy, International Association for Energy Economics, vol. 0(Number 2).
    19. Lambrecht, Bart M., 2017. "Real options in finance," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 166-171.
    20. Fleten, Stein-Erik & Linnerud, Kristin & Molnár, Peter & Tandberg Nygaard, Maria, 2016. "Green electricity investment timing in practice: Real options or net present value?," Energy, Elsevier, vol. 116(P1), pages 498-506.

    More about this item

    Keywords

    Investment; Power generation; Replacement; Wind plant; Gas Plant; Liquidation; Exclusive alternatives; Optimal boundaries; Firm value; Value of Green Energy;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General
    • Q42 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Alternative Energy Sources
    • Q48 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Government Policy

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:eneeco:v:111:y:2022:i:c:s0140988322002493. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eneco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.