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On modeling fossil fuel prices: geometric Brownian motion vs. variance-gamma process

Author

Listed:
  • Alejandro Mosiño

    (Universidad of Guanajuato)

  • Alejandro Tatsuo Moreno-Okuno

    (Universidad de Guanajuato)

Abstract

It is very common in the literature to assume that fossil fuels prices follow a geometric Brownian motion (GBM) process. However, the GBM is an imperfect process in the sense that it cannot capture correctly the frequent extreme movements in fossil fuel prices caused by the information generated within domestic and international markets. In this paper, we use fossil fuel index data to compare the performance of the GBM, which is based on normal density, with that of the variance-gamma (VG) process, which allows us to capture the skewness and the excess of kurtosis of price returns. We show that the VG process fits the data better than does the GBM, as indicated by several goodness-of-fit tests.

Suggested Citation

  • Alejandro Mosiño & Alejandro Tatsuo Moreno-Okuno, 2018. "On modeling fossil fuel prices: geometric Brownian motion vs. variance-gamma process," Economics Bulletin, AccessEcon, vol. 38(1), pages 509-519.
    • Handle: RePEc:ebl:ecbull:eb-17-00495
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    References listed on IDEAS

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    1. Dilip B. Madan & Peter P. Carr & Eric C. Chang, 1998. "The Variance Gamma Process and Option Pricing," Review of Finance, European Finance Association, vol. 2(1), pages 79-105.
    2. Chia Chun Lo & Konstantinos Skindilias & Andreas Karathanasopoulos, 2016. "Forecasting Latent Volatility through a Markov Chain Approximation Filter," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 35(1), pages 54-69, January.
    3. repec:boz:journl:v:27:y:2013:i:2:p:1-18 is not listed on IDEAS
    4. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    5. Conall O'Sullivan & Michael Moloney, 2010. "The Variance Gamma Scaled Self-Decomposable Process in Actuarial Modelling," Working Papers 201030, Geary Institute, University College Dublin.
    6. Detert, Neal & Kotani, Koji, 2013. "Real options approach to renewable energy investments in Mongolia," Energy Policy, Elsevier, vol. 56(C), pages 136-150.
    7. Robert S. Pindyck, 1999. "The Long-Run Evolutions of Energy Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 1-27.
    8. Paul H. Kupiec, 1995. "Techniques for verifying the accuracy of risk measurement models," Finance and Economics Discussion Series 95-24, Board of Governors of the Federal Reserve System (U.S.).
    9. Eduardo Schwartz & James E. Smith, 2000. "Short-Term Variations and Long-Term Dynamics in Commodity Prices," Management Science, INFORMS, vol. 46(7), pages 893-911, July.
    10. Robert S. Pindyck, 1984. "Uncertainty in the Theory of Renewable Resource Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(2), pages 289-303.
    11. Ahmet Göncü & Mehmet Oguz Karahan & Tolga Umut Kuzubas, 2013. "Fitting the Variance-Gamma Model: A Goodness-of-Fit Check for Emerging Markets," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 27(2), pages 1-10.
    12. 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.
    13. McNeil, Alexander J. & Frey, Rudiger, 2000. "Estimation of tail-related risk measures for heteroscedastic financial time series: an extreme value approach," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 271-300, November.
    14. Olsen, Trond E. & Stensland, Gunnar, 1988. "Optimal shutdown decisions in resource extraction," Economics Letters, Elsevier, vol. 26(3), pages 215-218.
    15. Schwartz, Eduardo S, 1997. "The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
    16. Pindyck, Robert S, 1980. "Uncertainty and Exhaustible Resource Markets," Journal of Political Economy, University of Chicago Press, vol. 88(6), pages 1203-1225, December.
    17. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    18. Gibson, Rajna & Schwartz, Eduardo S, 1990. "Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
    19. González-Pedraz, Carlos & Moreno, Manuel & Peña, Juan Ignacio, 2014. "Tail risk in energy portfolios," Energy Economics, Elsevier, vol. 46(C), pages 422-434.
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    Cited by:

    1. Feng, Zongbao & Wu, Xianguo & Chen, Hongyu & Qin, Yawei & Zhang, Limao & Skibniewski, Miroslaw J., 2022. "An energy performance contracting parameter optimization method based on the response surface method: A case study of a metro in China," Energy, Elsevier, vol. 248(C).

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    More about this item

    Keywords

    Fossil fuel index; variance-gamma process; geometric Brownian motion process;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • G1 - Financial Economics - - General Financial Markets

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