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Pricing real options under the constant elasticity of variance diffusion

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  • José Carlos Dias
  • João Pedro Vidal Nunes

Abstract

Much of the work on real options assumes that the underlying state variable follows a geometric Brownian motion with constant volatility. This paper uses a more general assumption for the state variable process that better captures the empirical regularities found in commodity markets. We use the constant elasticity of variance diffusion, where volatility is a function of underlying asset prices, and we provide analytic solutions for perpetual American options. We show that a firm that uses the standard lognormal assumption is exposed to significant errors of analysis, which may lead to nonoptimal investment and disinvestment decisions. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:230–250, 2011

Suggested Citation

  • José Carlos Dias & João Pedro Vidal Nunes, 2011. "Pricing real options under the constant elasticity of variance diffusion," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(3), pages 230-250, March.
    • Handle: RePEc:wly:jfutmk:v:31:y:2011:i:3:p:230-250
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    Citations

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    Cited by:

    1. Min-Ku Lee, 2019. "Pricing Perpetual American Lookback Options Under Stochastic Volatility," Computational Economics, Springer;Society for Computational Economics, vol. 53(3), pages 1265-1277, March.
    2. Alexander, Carol & Chen, Xi & Ward, Charles, 2021. "Risk-adjusted valuation for real option decisions," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 1046-1064.
    3. Aricson Cruz & José Carlos Dias, 2020. "Valuing American-style options under the CEV model: an integral representation based method," Review of Derivatives Research, Springer, vol. 23(1), pages 63-83, April.
    4. Xiaotong Lian & Yingda Song, 2021. "Pricing and calibration of the futures options market: A unified approximation," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(7), pages 1074-1091, July.
    5. Dias, José Carlos & Nunes, João Pedro Vidal & da Silva, Fernando Correia, 2024. "Finite maturity caps and floors on continuous flows under the constant elasticity of variance process," European Journal of Operational Research, Elsevier, vol. 316(1), pages 361-385.
    6. Kim, Jeong-Hoon & Lee, Min-Ku & Sohn, So Young, 2014. "Investment timing under hybrid stochastic and local volatility," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 58-72.
    7. Marcel Philipp Müller & Sebastian Stöckl & Steffen Zimmermann & Bernd Heinrich, 2016. "Decision Support for IT Investment Projects," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 58(6), pages 381-396, December.
    8. José Carlos Dias & João Pedro Vidal Nunes & Aricson Cruz, 2020. "A note on options and bubbles under the CEV model: implications for pricing and hedging," Review of Derivatives Research, Springer, vol. 23(3), pages 249-272, October.
    9. Zheng, Xiaoxiao & Zhou, Jieming & Sun, Zhongyang, 2016. "Robust optimal portfolio and proportional reinsurance for an insurer under a CEV model," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 77-87.
    10. Carlos Miguel Glória & José Carlos Dias & Aricson Cruz, 2024. "Pricing levered warrants under the CEV diffusion model," Review of Derivatives Research, Springer, vol. 27(1), pages 55-84, April.
    11. Kim, Donghyun & Shin, Yong Hyun & Yoon, Ji-Hun, 2024. "The valuation of real options for risky barrier to entry with hybrid stochastic and local volatility and stochastic investment costs," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).

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