IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v251y2016i1p148-157.html
   My bibliography  Save this article

Optimal switching decisions under stochastic volatility with fast mean reversion

Author

Listed:
  • Tsekrekos, Andrianos E.
  • Yannacopoulos, Athanasios N.

Abstract

We study infinite-horizon, optimal switching problems for underlying processes that exhibiting “fast” mean-reverting stochastic volatility. We obtain closed-form analytic approximations of the solution for the resulting quasi-variational inequalities, that provide quantitative and qualitative results for the effects of multi-scale variability of the underlying process on the optimal switching rule. The proposed methodology is applicable to a number of operations research problems involving switching flexibility.

Suggested Citation

  • Tsekrekos, Andrianos E. & Yannacopoulos, Athanasios N., 2016. "Optimal switching decisions under stochastic volatility with fast mean reversion," European Journal of Operational Research, Elsevier, vol. 251(1), pages 148-157.
  • Handle: RePEc:eee:ejores:v:251:y:2016:i:1:p:148-157
    DOI: 10.1016/j.ejor.2015.12.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221715011200
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2015.12.011?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. Fouque,Jean-Pierre & Papanicolaou,George & Sircar,Ronnie & Sølna,Knut, 2011. "Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives," Cambridge Books, Cambridge University Press, number 9780521843584.
    2. 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..
    3. Dias, José Carlos & Shackleton, Mark B., 2011. "Hysteresis effects under CIR interest rates," European Journal of Operational Research, Elsevier, vol. 211(3), pages 594-600, June.
    4. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    5. Di Corato, Luca & Montinari, Natalia, 2014. "Flexible waste management under uncertainty," European Journal of Operational Research, Elsevier, vol. 234(1), pages 174-185.
    6. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    7. Bardia Kamrad & Akhtar Siddique, 2004. "Supply Contracts, Profit Sharing, Switching, and Reaction Options," Management Science, INFORMS, vol. 50(1), pages 64-82, January.
    8. Lenos Trigeorgis, 1993. "Real Options and Interactions With Financial Flexibility," Financial Management, Financial Management Association, vol. 22(3), Fall.
    9. Burak Kazaz & Maqbool Dada & Herbert Moskowitz, 2005. "Global Production Planning Under Exchange-Rate Uncertainty," Management Science, INFORMS, vol. 51(7), pages 1101-1119, July.
    10. Stephen J. Taylor, 1994. "Modeling Stochastic Volatility: A Review And Comparative Study," Mathematical Finance, Wiley Blackwell, vol. 4(2), pages 183-204, April.
    11. Samuel Hikspoors & Sebastian Jaimungal, 2008. "Asymptotic Pricing of Commodity Derivatives using Stochastic Volatility Spot Models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(5-6), pages 449-477.
    12. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    13. Parpas, Panos & Webster, Mort, 2014. "A stochastic multiscale model for electricity generation capacity expansion," European Journal of Operational Research, Elsevier, vol. 232(2), pages 359-374.
    14. James L. Paddock & Daniel R. Siegel & James L. Smith, 1988. "Option Valuation of Claims on Real Assets: The Case of Offshore Petroleum Leases," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 479-508.
    15. Bobtcheff, Catherine & Villeneuve, Stéphane, 2010. "Technology choice under several uncertainty sources," European Journal of Operational Research, Elsevier, vol. 206(3), pages 586-600, November.
    16. Li, Shanling & Wang, Letian, 2010. "Outsourcing and capacity planning in an uncertain global environment," European Journal of Operational Research, Elsevier, vol. 207(1), pages 131-141, November.
    17. 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.
    18. Sassan Alizadeh & Michael W. Brandt & Francis X. Diebold, 2002. "Range‐Based Estimation of Stochastic Volatility Models," Journal of Finance, American Finance Association, vol. 57(3), pages 1047-1091, June.
    19. Benaroch, Michel & Webster, Scott & Kazaz, Burak, 2012. "Impact of sourcing flexibility on the outsourcing of services under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 219(2), pages 272-283.
    20. Manolis G. Kavussanos & Andrianos E. Tsekrekos, 2011. "The Option to Change the Flag of a Vessel," Chapters, in: Kevin Cullinane (ed.), International Handbook of Maritime Economics, chapter 3, Edward Elgar Publishing.
    21. Löffler, Clemens & Pfeiffer, Thomas & Schneider, Georg, 2012. "Controlling for supplier switching in the presence of real options and asymmetric information," European Journal of Operational Research, Elsevier, vol. 223(3), pages 690-700.
    22. Eric Renault & Nizar Touzi, 1996. "Option Hedging And Implied Volatilities In A Stochastic Volatility Model1," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 279-302, July.
    23. Song-Ping Zhu & Wen-Ting Chen, 2011. "Should An American Option Be Exercised Earlier Or Later If Volatility Is Not Assumed To Be A Constant?," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 14(08), pages 1279-1297.
    24. Sødal, Sigbjørn & Koekebakker, Steen & Aadland, Roar, 2008. "Market switching in shipping -- A real option model applied to the valuation of combination carriers," Review of Financial Economics, Elsevier, vol. 17(3), pages 183-203, August.
    25. Wagner, Stephan M. & Friedl, Gunther, 2007. "Supplier switching decisions," European Journal of Operational Research, Elsevier, vol. 183(2), pages 700-717, December.
    26. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
    27. Bruce Kogut & Nalin Kulatilaka, 1994. "Operating Flexibility, Global Manufacturing, and the Option Value of a Multinational Network," Management Science, INFORMS, vol. 40(1), pages 123-139, January.
    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. Panayiotis Alexakis & Gikas Hardouvelis & Dean Paxson & Gordon Sick & Lenos Trigeorgis, 2018. "Greek Sovereign Debt: Addressing Economic Distress and Growth in the Euro Area," Multinational Finance Journal, Multinational Finance Journal, vol. 22(1-2), pages 1-33, March - J.
    2. Sha Lin & Xin-Jiang He, 2022. "Analytically Pricing European Options under a New Two-Factor Heston Model with Regime Switching," Computational Economics, Springer;Society for Computational Economics, vol. 59(3), pages 1069-1085, March.
    3. Ernstsen, Rune Ramsdal & Boomsma, Trine Krogh, 2018. "Valuation of power plants," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1153-1174.
    4. Mihail Zervos & Carlos Oliveira & Kate Duckworth, 2018. "An investment model with switching costs and the option to abandon," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(3), pages 417-443, December.
    5. Gaïgi, M’hamed & Ly Vath, Vathana & Scotti, Simone, 2022. "Optimal harvesting under marine reserves and uncertain environment," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1181-1194.
    6. Alibeiki, Hedayat & Lotfaliei, Babak, 2022. "To expand and to abandon: Real options under asset variance risk premium," European Journal of Operational Research, Elsevier, vol. 300(2), pages 771-787.
    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. Juri Hinz & Tanya Tarnopolskaya & Jeremy Yee, 2020. "Efficient algorithms of pathwise dynamic programming for decision optimization in mining operations," Annals of Operations Research, Springer, vol. 286(1), pages 583-615, March.
    9. Jostein Tvedt, 2022. "Optimal Entry and Exit Decisions Under Uncertainty and the Impact of Mean Reversion," SN Operations Research Forum, Springer, vol. 3(4), pages 1-21, December.
    10. Briest, Gordon & Lauven, Lars-Peter & Kupfer, Stefan & Lukas, Elmar, 2022. "Leaving well-worn paths: Reversal of the investment-uncertainty relationship and flexible biogas plant operation," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1162-1176.
    11. Huberts, Nick F.D. & Thijssen, Jacco J.J., 2023. "Optimal timing of non-pharmaceutical interventions during an epidemic," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1366-1389.
    12. Cortazar, Gonzalo & Naranjo, Lorenzo & Sainz, Felipe, 2021. "Optimal decision policy for real options under general Markovian dynamics," European Journal of Operational Research, Elsevier, vol. 288(2), pages 634-647.

    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. 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.
    2. Lander, Diane M. & Pinches, George E., 1998. "Challenges to the Practical Implementation of Modeling and Valuing Real Options," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 537-567.
    3. Trigeorgis, Lenos & Tsekrekos, Andrianos E., 2018. "Real Options in Operations Research: A Review," European Journal of Operational Research, Elsevier, vol. 270(1), pages 1-24.
    4. Shackleton, Mark B. & Tsekrekos, Andrianos E. & Wojakowski, Rafal, 2004. "Strategic entry and market leadership in a two-player real options game," Journal of Banking & Finance, Elsevier, vol. 28(1), pages 179-201, January.
    5. Akamatsu, Takashi & Nagae, Takeshi, 2011. "A network of options: Evaluating complex interdependent decisions under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 714-729, May.
    6. Chi-Yo Huang & Hong-Ling Hsieh & Hueiling Chen, 2020. "Evaluating the Investment Projects of Spinal Medical Device Firms Using the Real Option and DANP-mV Based MCDM Methods," IJERPH, MDPI, vol. 17(9), pages 1-41, May.
    7. Beatriz Mota Aragón, 2011. "Capital Investments and Real Options: New Proposals," Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics), Tecnológico de Monterrey, Campus Ciudad de México, vol. 5(1), pages 65-76.
    8. Tsekrekos, Andrianos E., 2010. "The effect of mean reversion on entry and exit decisions under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 725-742, April.
    9. Seiji Harikae & James S. Dyer & Tianyang Wang, 2021. "Valuing Real Options in the Volatile Real World," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 171-189, January.
    10. 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.
    11. Martins, José & Marques, Rui Cunha & Cruz, Carlos Oliveira, 2014. "Maximizing the value for money of PPP arrangements through flexibility: An application to airports," Journal of Air Transport Management, Elsevier, vol. 39(C), pages 72-80.
    12. Jyh-Bang Jou, 2000. "Irreversible Investment Decisions Under Uncertainty with Tax Holidays," Public Finance Review, , vol. 28(1), pages 66-81, January.
    13. Bulan, Laarni & Mayer, Christopher & Somerville, C. Tsuriel, 2009. "Irreversible investment, real options, and competition: Evidence from real estate development," Journal of Urban Economics, Elsevier, vol. 65(3), pages 237-251, May.
    14. Ha, Mijin & Kim, Donghyun & Yoon, Ji-Hun, 2024. "Valuing of timer path-dependent options," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 208-227.
    15. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    16. Detemple, Jerome & Kitapbayev, Yerkin, 2022. "Optimal technology adoption for power generation," Energy Economics, Elsevier, vol. 111(C).
    17. Han Smit & Enrico Pennings & Sjoerd Bekkum, 2017. "Real options and institutions," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 48(5), pages 620-644, July.
    18. 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.
    19. Cortazar, Gonzalo & Casassus, Jaime, 1998. "Optimal Timing of a Mine Expansion: Implementing a Real Options Model," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 755-769.
    20. Lambrecht, Bart M., 2017. "Real options in finance," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 166-171.

    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:ejores:v:251:y:2016:i:1:p:148-157. 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/eor .

    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.