IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1806.06105.html
   My bibliography  Save this paper

Explicit Solutions for Optimal Resource Extraction Problems under Regime Switching L\'evy Models

Author

Listed:
  • Moustapha Pemy

Abstract

This paper studies the problem of optimally extracting nonrenewable natural resources. Taking into account the fact that the market values of the main natural resources i.e. oil, natural gas, copper,..., etc, fluctuate randomly following global and seasonal macroeconomic parameters, the prices of natural resources are modeled using Markov switching L\'evy processes. We formulate this optimal extraction problem as an infinite-time horizon optimal control problem. We derive closed-form solutions for the value function as well as the optimal extraction policy. Numerical examples are presented to illustrate these results.

Suggested Citation

  • Moustapha Pemy, 2018. "Explicit Solutions for Optimal Resource Extraction Problems under Regime Switching L\'evy Models," Papers 1806.06105, arXiv.org.
    • Handle: RePEc:arx:papers:1806.06105
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1806.06105
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39, pages 137-137.
    2. Donald A. Hanson, 1980. "Increasing Extraction Costs and Resource Prices: Some Further Results," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 335-342, Spring.
    3. Cynthia Lin, C.-Y. & Wagner, Gernot, 2007. "Steady-state growth in a Hotelling model of resource extraction," Journal of Environmental Economics and Management, Elsevier, vol. 54(1), pages 68-83, July.
    4. Rama Cont & Ekaterina Voltchkova, 2005. "A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models," Post-Print halshs-00445645, HAL.
    5. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    Full references (including those not matched with items on IDEAS)

    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. Hart, Rob, 2016. "Non-renewable resources in the long run," Journal of Economic Dynamics and Control, Elsevier, vol. 71(C), pages 1-20.
    2. Kheiravar, Khaled H, 2019. "Economic and Econometric Analyses of the World Petroleum Industry, Energy Subsidies, and Air Pollution," Institute of Transportation Studies, Working Paper Series qt3gj151w9, Institute of Transportation Studies, UC Davis.
    3. Lin, C.Y. Cynthia, 2009. "An Empirical Dynamic Model of OPEC and Non-OPEC," Working Papers 225895, University of California, Davis, Department of Agricultural and Resource Economics.
    4. Ghandi, Abbas & Lin, C.-Y. Cynthia, 2012. "Do Iran’s buy-back service contracts lead to optimal production? The case of Soroosh and Nowrooz," Energy Policy, Elsevier, vol. 42(C), pages 181-190.
    5. Moustapha Pemy, 2016. "Optimal Resource Extraction in Regime Switching L\'evy Markets," Papers 1606.03388, arXiv.org, revised Nov 2016.
    6. Moustapha Pemy, 2016. "Optimal Extraction and Taxation of Strategic Natural Resources: A Differential Game Approach," Papers 1611.02547, arXiv.org, revised Jun 2018.
    7. Cécile Couharde & Vincent Géronimi & Armand Taranco, 2012. "Les hausses récentes des cours des matières premières traduisent-elles l'entrée dans un régime de prix plus élevés ?," Revue Tiers-Monde, Armand Colin, vol. 0(3), pages 13-34.
    8. Hong Bo & Baoshan Zhang & Christine Oughton & Xiaoling Yuan & Jun Ma, 2016. "China's State Energy Investment during 1991–2007: Investment Analysis and Policy Issues," Regional Studies, Taylor & Francis Journals, vol. 50(10), pages 1769-1784, October.
    9. Hart, Rob & Spiro, Daniel, 2011. "The elephant in Hotelling's room," Energy Policy, Elsevier, vol. 39(12), pages 7834-7838.
    10. Bai, Yiyi & Okullo, Samuel J., 2018. "Understanding oil scarcity through drilling activity," Energy Economics, Elsevier, vol. 69(C), pages 261-269.
    11. Kamiar Mohaddes, 2013. "Econometric modelling of world oil supplies: terminal price and the time to depletion," OPEC Energy Review, Organization of the Petroleum Exporting Countries, vol. 37(2), pages 162-193, June.
    12. Gregor Schwerhoff & Ottmar Edenhofer & Marc Fleurbaey, 2020. "Taxation Of Economic Rents," Journal of Economic Surveys, Wiley Blackwell, vol. 34(2), pages 398-423, April.
    13. Pustov, Alexander & Malanichev, Alexander & Khobotilov, Ilya, 2013. "Long-term iron ore price modeling: Marginal costs vs. incentive price," Resources Policy, Elsevier, vol. 38(4), pages 558-567.
    14. Eiji Sawada & Shunsuke Managi, 2014. "Effects of Technological Change on Non-renewable Resource Extraction and Exploration," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 3(1), pages 1-12, December.
    15. Barreto, Raul A., 2018. "Fossil fuels, alternative energy and economic growth," Economic Modelling, Elsevier, vol. 75(C), pages 196-220.
    16. Jouvet, Pierre-André & Schumacher, Ingmar, 2012. "Learning-by-doing and the costs of a backstop for energy transition and sustainability," Ecological Economics, Elsevier, vol. 73(C), pages 122-132.
    17. Abhijit Sharma & Kelvin G Balcombe & Iain M Fraser, 2009. "Non-renewable resource prices: Structural breaks and long term trends," Economics Bulletin, AccessEcon, vol. 29(2), pages 805-819.
    18. Geronimi, Vincent & Taranco, Armand, 2018. "Revisiting the Prebisch-Singer hypothesis of a secular decline in the terms of trade of primary commodities (1900–2016). A dynamic regime approach," Resources Policy, Elsevier, vol. 59(C), pages 329-339.
    19. Wang, Qiao & Balvers, Ronald, 2021. "Determinants and predictability of commodity producer returns," Journal of Banking & Finance, Elsevier, vol. 133(C).
    20. Ronald H. Schmidt, 1988. "Hotelling's rule repealed? An examination of exhaustible resource pricing," Economic Review, Federal Reserve Bank of San Francisco, issue Fall, pages 41-54.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:1806.06105. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.