IDEAS home Printed from https://ideas.repec.org/a/bla/ijethy/v5y2009i3p293-300.html
   My bibliography  Save this article

On geometric ergodicity of the commodity pricing model

Author

Listed:
  • Kazuo Nishimura
  • John Stachurski

Abstract

We provide a simple proof of geometric ergodicity for Samuelson's (1971) commodity pricing model. The proof yields a rate of convergence to the stationary distribution stated in terms of model primitives. We also provide a rate of convergence for prices to the stationary price process, and for the joint distribution of the state process to the stationary state process.

Suggested Citation

  • Kazuo Nishimura & John Stachurski, 2009. "On geometric ergodicity of the commodity pricing model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(3), pages 293-300, September.
    • Handle: RePEc:bla:ijethy:v:5:y:2009:i:3:p:293-300
    DOI: 10.1111/j.1742-7363.2009.00110.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1742-7363.2009.00110.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1742-7363.2009.00110.x?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
    ---><---

    References listed on IDEAS

    as
    1. Angus Deaton & Guy Laroque, 1992. "On the Behaviour of Commodity Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 1-23.
    2. Eugenio S. A. Bobenrieth H. & Juan R. A. Bobenrieth H. & Brian D. Wright, 2002. "A Commodity Price Process with a Unique Continuous Invariant Distribution Having Infinite Mean," Econometrica, Econometric Society, vol. 70(3), pages 1213-1219, May.
    3. José A. Scheinkman & Jack Schechtman, 1983. "A Simple Competitive Model with Production and Storage," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 427-441.
    4. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-1406, November.
    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. Chambers, Marcus J & Bailey, Roy E, 1996. "A Theory of Commodity Price Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 924-957, October.
    2. Eugenio S. A. Bobenrieth & Juan R. A. Bobenrieth & Brian D. Wright, 2014. "Bubble Troubles? Rational Storage, Mean Reversion, and Runs in Commodity Prices," NBER Chapters, in: The Economics of Food Price Volatility, pages 193-208, National Bureau of Economic Research, Inc.
    3. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, April.
    4. Xie, Yang & Zilberman, David, 2015. "Water Storage Capacities versus Water Use Efficiency: Substitutes or Complements?," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205439, Agricultural and Applied Economics Association.
    5. Vorotnikova, Ekaterina, 2016. "Optimal Storage Capacity Allocation in Grain Merchandizing," 2016 Annual Meeting, February 6-9, 2016, San Antonio, Texas 230128, Southern Agricultural Economics Association.
    6. Juan R. A. Bobenrieth & Eugenio S. A. Bobenrieth & Andrés F. Villegas & Brian D. Wright, 2022. "Estimation of Endogenous Volatility Models with Exponential Trends," Mathematics, MDPI, vol. 10(15), pages 1-27, July.
    7. Christophe Gouel, 2012. "Agricultural Price Instability: A Survey Of Competing Explanations And Remedies," Journal of Economic Surveys, Wiley Blackwell, vol. 26(1), pages 129-156, February.
    8. Casassus, Jaime & Collin-Dufresne, Pierre & Routledge, Bryan R., 2018. "Equilibrium commodity prices with irreversible investment and non-linear technologies," Journal of Banking & Finance, Elsevier, vol. 95(C), pages 128-147.
    9. Plantinga, Andrew J. & Provencher, Bill, 2001. "Internal Consistency In Models Of Optimal Resource Use Under Uncertainty," 2001 Annual meeting, August 5-8, Chicago, IL 20712, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Christopher Hansman & Harrison Hong & Áureo de Paula & Vishal Singh, 2020. "A Sticky-Price View of Hoarding," NBER Working Papers 27051, National Bureau of Economic Research, Inc.
    11. Hong, Harrison G & de Paula, Aureo & Singh, Vishal, 2015. "Hoard Behavior During Commodity Bubbles," CEPR Discussion Papers 10441, C.E.P.R. Discussion Papers.
    12. Roberts, Michael J. & Tran, A. Nam, 2013. "Conditional Suspension of the US Ethanol Mandate using Threshold Price inside a Competitive Storage Model," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150717, Agricultural and Applied Economics Association.
    13. Kornher, Lukas & Kalkuhl, Matthias, 2013. "Food Price Volatility in Developing Countries and its Determinants," Quarterly Journal of International Agriculture, Humboldt-Universitaat zu Berlin, vol. 52(4), pages 1-32, November.
    14. Berna Karali & Walter N. Thurman, 2009. "Announcement effects and the theory of storage: an empirical study of lumber futures," Agricultural Economics, International Association of Agricultural Economists, vol. 40(4), pages 421-436, July.
    15. Evans, Lewis & Guthrie, Graeme, 2007. "Commodity Price Behavior With Storage Frictions," Working Paper Series 3966, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.
    16. Wen, Yi, 2003. "The Power of Demand: A General Equilibrium Analysis of Multi-Stage-Fabrication Economy with Inventories," Working Papers 03-13r, Cornell University, Center for Analytic Economics.
    17. Ren'e Aid & Luciano Campi & Delphine Lautier, 2015. "On the spot-futures no-arbitrage relations in commodity markets," Papers 1501.00273, arXiv.org, revised Feb 2018.
    18. Bask, Mikael & Widerberg, Anna, 2009. "Market structure and the stability and volatility of electricity prices," Energy Economics, Elsevier, vol. 31(2), pages 278-288, March.
    19. Tran, A. Nam & Welch, Jarrod R. & Lobell, David & Roberts, Michael J. & Schlenker, Wolfram, 2012. "Commodity Prices and Volatility in Response to Anticipated Climate Change," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124827, Agricultural and Applied Economics Association.
    20. Teresa Serra & José M. Gil, 2013. "Price volatility in food markets: can stock building mitigate price fluctuations?," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 40(3), pages 507-528, July.

    More about this item

    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:bla:ijethy:v:5:y:2009:i:3:p:293-300. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355 .

    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.