Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/dpc/wpaper/0713.html
   My bibliography  Save this paper

A Stochastic Dynamic Model of Trade and Growth: Convergence and Diversi?cation

Author

Listed:
  • Partha Chatterjee

    (FMS, University of Delhi, Delhi 110007)

  • Malik Shukayev

    (Bank of Canada)

Abstract
There is a growing literature that studies the properties of models that combine international trade and neoclassical growth theory, but mostly in a de- terministic setting. In this paper we introduce uncertainty in a dynamic Heckscher-Ohlin model and characterize the equilibrium of a small open economy in such an environment. We show that, when trade is balanced period-by-period, the per capita output and consumption of a small open economy converge to an invariant distribution that is independent of the initial wealth. Further, at the invariant distribution, there are periods in which the small economy diversi?es. Numerical simulations show that the speed of convergence increases with the size of the shocks. In the limit, when there is no uncertainty, there is no convergence and countries may specialize permanently. The paper highlights the role of market incompleteness, as a result of the period-by-period trade balance, in this setup. Through an analytical example we also illustrate the importance of country speci?c risk in delivering our results.

Suggested Citation

  • Partha Chatterjee & Malik Shukayev, 2013. "A Stochastic Dynamic Model of Trade and Growth: Convergence and Diversi?cation," Working Papers 07, Development and Policies Research Center (DEPOCEN), Vietnam.
    • Handle: RePEc:dpc:wpaper:0713
    as

    Download full text from publisher

    File URL: http://depocenwp.org/modules/download/index.php?id=157
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Alejandro Cunat & Marco Maffezzoli, 2004. "Hecksher-Ohlin Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 555-585, July.
    2. Mussa, Michael, 1978. "Dynamic Adjustment in the Heckscher-Ohlin-Samuelson Model," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 775-791, October.
    3. Claustre Bajona & Timothy Kehoe, 2010. "Trade, Growth, and Convergence in a Dynamic Heckscher-Ohlin Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 487-513, July.
    4. Eric W. Bond & Kathleen Trask & Ping Wang, 2003. "Factor Accumulation and Trade: Dynamic Comparative Advantage with Endogenous Physical and Human Capital," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 1041-1060, August.
    5. Findlay, Ronald, 1970. "Factor Proportions and Comparative Advantage in the Long Run," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 27-34, Jan.-Feb..
    6. Manjira Datta, 1999. "Optimal accumulation in a small open economy with technological uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(1), pages 207-219.
    7. Claustre Bajona & Timothy J. Kehoe, 2006. "Demographics in dynamic Heckscher-Ohlin models: overlapping generations versus infinitely lived consumers," Staff Report 377, Federal Reserve Bank of Minneapolis.
    8. Gary Chamberlain & Charles A. Wilson, 2000. "Optimal Intertemporal Consumption Under Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 365-395, July.
    9. Zhiqi Chen, 1992. "Long-Run Equilibria in a Dynamic Heckscher-Ohlin Model," Canadian Journal of Economics, Canadian Economics Association, vol. 25(4), pages 923-943, November.
    10. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    11. Alan V. Deardorff, 2011. "Rich And Poor Countries In Neoclassical Trade And Growth," World Scientific Book Chapters, in: Robert M Stern (ed.), Comparative Advantage, Growth, And The Gains From Trade And Globalization A Festschrift in Honor of Alan V Deardorff, chapter 25, pages 295-313, World Scientific Publishing Co. Pte. Ltd..
    12. Andrew Atkeson & Patrick J. Kehoe, 2000. "Paths of development for early- and late-bloomers in a dynamic Heckscher-Ohlin model," Staff Report 256, Federal Reserve Bank of Minneapolis.
    13. Fisher, Eric O'N., 1995. "Growth, trade, and international transfers," Journal of International Economics, Elsevier, vol. 39(1-2), pages 143-158, August.
    14. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    15. Clarida, Richard H, 1987. "Consumption, Liquidity Constraints and Asset Accumulation in the Presence of Random Income Fluctuations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(2), pages 339-351, June.
    16. Chatterjee, Partha & Shukayev, Malik, 2008. "Note on positive lower bound of capital in the stochastic growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2137-2147, July.
    17. Jaume Ventura, 1997. "Growth and Interdependence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 57-84.
    18. P. K. Bardhan, 1965. "Equilibrium Growth in the International Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 79(3), pages 455-464.
    19. H. Oniki & H. Uzawa, 1965. "Patterns of Trade and Investment in a Dynamic Model of International Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(1), pages 15-37.
    20. Stiglitz, Joseph E, 1970. "Factor Price Equalization in a Dynamic Economy," Journal of Political Economy, University of Chicago Press, vol. 78(3), pages 456-488, May-June.
    21. 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.
    22. Mirman, Leonard J. & Zilcha, Itzhak, 1975. "On optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 11(3), pages 329-339, December.
    23. Smith, Alasdair, 1984. "Capital theory and trade theory," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 6, pages 289-324, Elsevier.
    24. Alejandro Cunat & Marco Maffezzoli, 2004. "Neoclassical Growth and Commodity Trade," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 707-736, July.
    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. Takashi Kamihigashi & John Stachurski, 2011. "Existence, Stability and Computation of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2011-32, Research Institute for Economics & Business Administration, Kobe University.
    2. Satoshi Honma & Yushi Yoshida, 2019. "Convergence in pollution terms of trade," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 28(5), pages 603-627, July.
    3. Partha Sen & Koji Shimomura, 2017. "Convergence and Overtaking in a Dynamic two Country Model," Open Economies Review, Springer, vol. 28(1), pages 107-124, February.
    4. Takashi Kamihigashi & John Stachurski, 2011. "Stability of Stationary Distributions in Monotone Economies," ANU Working Papers in Economics and Econometrics 2011-561, Australian National University, College of Business and Economics, School of Economics.
    5. Satoshi Honma & Yushi Yoshida, 2018. "Convergence in pollution terms of trade," Discussion Papers CRR Discussion Paper Series A: General 48, Shiga University, Faculty of Economics,Center for Risk Research.
    6. Bhushan Praveen Jangam & Badri Narayan Rath, 2020. "Cross-country convergence in global value chains: Evidence from club convergence analysis," International Economics, CEPII research center, issue 163, pages 134-146.
    7. Sen, Partha, 2015. "Uncertain lifetimes and convergence in a two-country Heckscher–Ohlin model," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 14-20.
    8. Din Prathumwan & Kamonchat Trachoo, 2019. "Application of the Laplace Homotopy Perturbation Method to the Black–Scholes Model Based on a European Put Option with Two Assets," Mathematics, MDPI, vol. 7(4), pages 1-11, March.
    9. , & ,, 2014. "Stochastic stability in monotone economies," Theoretical Economics, Econometric Society, vol. 9(2), May.
    10. Takashi Kamihigashi & John Stachurski, 2012. "Existence, Uniqueness and Stability of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2012-27, Research Institute for Economics & Business Administration, Kobe University.
    11. Din Prathumwan & Wannika Sawangtong & Panumart Sawangtong, 2017. "An Analysis on the Fractional Asset Flow Differential Equations," Mathematics, MDPI, vol. 5(2), pages 1-17, June.
    12. Vaseem Akram, 2018. "Does export diversification converge? Evidence from cross-country analysis," Economics Bulletin, AccessEcon, vol. 38(4), pages 2141-2151.

    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. Claustre Bajona & Timothy J. Kehoe, 2006. "Demographics in Dynamic Heckscher-Ohlin Models: Overlapping Generations Versus Infinitely Lived Consumers," NBER Working Papers 12566, National Bureau of Economic Research, Inc.
    2. Claustre Bajona & Timothy Kehoe, 2010. "Trade, Growth, and Convergence in a Dynamic Heckscher-Ohlin Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 487-513, July.
    3. Partha Chatterjee & Malik Shukayev, 2006. "Convergence in a Stochastic Dynamic Heckscher-Ohlin Model," Staff Working Papers 06-23, Bank of Canada.
    4. Partha Sen, 2013. "Capital Accumulation and Convergence in a Small Open Economy," Review of International Economics, Wiley Blackwell, vol. 21(4), pages 690-704, September.
    5. Lorenzo Caliendo, 2010. "On the Dynamics of the Hecksher-Ohlin Theory," Working Papers 2010-011, Becker Friedman Institute for Research In Economics.
    6. Jiandong Ju & Kang Shi & Shang-Jin Wei, 2011. "On the Connections between Intertemporal and Intra-temporal Trades," NBER Working Papers 17549, National Bureau of Economic Research, Inc.
    7. Jiandong Ju & Shang-Jin Wei, 2007. "Current Account Adjustment: Some New Theory and Evidence," NBER Working Papers 13388, National Bureau of Economic Research, Inc.
    8. Partha Sen & Koji Shimomura, 2017. "Convergence and Overtaking in a Dynamic two Country Model," Open Economies Review, Springer, vol. 28(1), pages 107-124, February.
    9. Auer, Raphael A., 2015. "Human capital and the dynamic effects of trade," Journal of Development Economics, Elsevier, vol. 117(C), pages 107-118.
    10. Maria Dolores Guillo & Fidel Perez-Sebastian, 2015. "Convergence in a Dynamic Heckscher–Ohlin Model with Land," Review of Development Economics, Wiley Blackwell, vol. 19(3), pages 725-734, August.
    11. Sen, Partha, 2015. "Uncertain lifetimes and convergence in a two-country Heckscher–Ohlin model," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 14-20.
    12. Alejandro Cuñat & Marco Maffezzoli, 2007. "Can Comparative Advantage Explain the Growth of us Trade?," Economic Journal, Royal Economic Society, vol. 117(520), pages 583-602, April.
    13. Nils Herger, 2015. "An uncovered interest parity condition that worked - The continental investment demand for London bills of exchange during the gold standard (1880 -1914)," Working Papers 15.04, Swiss National Bank, Study Center Gerzensee.
    14. Alejandro Cunat & Marco Maffezzoli, 2004. "Neoclassical Growth and Commodity Trade," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 707-736, July.
    15. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, April.
    16. E. Young Song, 2014. "Trade and the Speed of Convergence," Review of Development Economics, Wiley Blackwell, vol. 18(1), pages 1-12, February.
    17. Ventura, Jaume, 2005. "A Global View of Economic Growth," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 22, pages 1419-1497, Elsevier.
    18. Lutz Arnold, 2007. "A generalized multi-country endogenous growth model," International Economics and Economic Policy, Springer, vol. 4(1), pages 61-100, April.
    19. Lars J. Olson & Santanu Roy, 2006. "Theory of Stochastic Optimal Economic Growth," Springer Books, in: Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), Handbook on Optimal Growth 1, chapter 11, pages 297-335, Springer.
    20. Sergi Basco & Martí Mestieri, 2019. "The world income distribution: the effects of international unbundling of production," Journal of Economic Growth, Springer, vol. 24(2), pages 189-221, June.

    More about this item

    Keywords

    Economic Growth; International Trade; Heckscher-Ohlin; Convergence; Stochastic Growth Theory; Diversi?cation; Incomplete markets; Risk.;
    All these keywords.

    JEL classification:

    • F1 - International Economics - - Trade
    • F4 - International Economics - - Macroeconomic Aspects of International Trade and Finance
    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment

    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:dpc:wpaper:0713. 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: Doan Quang Hung (email available below). General contact details of provider: https://edirc.repec.org/data/depocvn.html .

    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.