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Comparing Numerical Methods for Solving the Competitive Storage Model

  • Christophe Gouel

    ()

This paper compares numerical methods for solving the competitive storage model. Because storage implies a nonnegativity constraint on stocks, the solution methods must be considered carefully. The model is solved using value function iteration and several projection approaches, including parameterised expectations and decision rules approximation. In considering a storage model with convenience yield, in which the inequality constraint is smoothed, perturbation methods are also applied. Parameterised expectations approximation proves to be the most accurate method, whereas perturbation techniques are shown inadequate for solving this highly nonlinear model. The endogenous grid method allows rapid solution if supply is assumed to be inelastic. Copyright Springer Science+Business Media, LLC. 2013

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File URL: http://hdl.handle.net/10.1007/s10614-012-9318-y
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Article provided by Society for Computational Economics in its journal Computational Economics.

Volume (Year): 41 (2013)
Issue (Month): 2 (February)
Pages: 267-295

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Handle: RePEc:kap:compec:v:41:y:2013:i:2:p:267-295
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  1. Sergio H. Lence & Dermot J. Hayes, 2002. "U.S. Farm Policy and the Volatility of Commodity Prices and Farm Revenues," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(2), pages 335-351.
  2. Coeurdacier, Nicolas & Rey, Hélène & Winant, Pablo, 2012. "The Risky Steady-State," CEPR Discussion Papers 8751, C.E.P.R. Discussion Papers.
  3. 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 924-57, October.
  4. Miranda, Mario J, 1998. "Numerical Strategies for Solving the Nonlinear Rational Expectations Commodity Market Model," Computational Economics, Society for Computational Economics, vol. 11(1-2), pages 71-87, April.
  5. Stephen Zeldes, . "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," Rodney L. White Center for Financial Research Working Papers 20-86, Wharton School Rodney L. White Center for Financial Research.
  6. Plato, Gerald & Gordon, Douglas, 1983. "Dynamic Programming and the Economics of Optimal Grain Storage," Agricultural Economics Research, United States Department of Agriculture, Economic Research Service, issue 1.
  7. Deaton, Angus & Laroque, Guy, 1995. "Estimating a Nonlinear Rational Expectations Commodity Price Model with Unobservable State Variables," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(S), pages S9-40, Suppl. De.
  8. S. Boragan Aruoba & Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2003. "Comparing Solution Methods for Dynamic Equilibrium Economies," PIER Working Paper Archive 04-003, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  9. Christopher Carroll, 2005. "The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," Economics Working Paper Archive 520, The Johns Hopkins University,Department of Economics.
  10. Angus Deaton & Guy Laroque, 1990. "On The Behavior of Commodity Prices," NBER Working Papers 3439, National Bureau of Economic Research, Inc.
  11. Kim, Sunghyun Henry & Kollmann, Robert & Kim, Jinill, 2010. "Solving the incomplete market model with aggregate uncertainty using a perturbation method," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 50-58, January.
  12. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, With and Without Liquidity Constraints (Expanded Version)," NBER Working Papers 8387, National Bureau of Economic Research, Inc.
  13. Lawrence J. Christiano & Jonas D.M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues 94-6, Federal Reserve Bank of Chicago.
  14. Feigenbaum, James, 2005. "Second-, third-, and higher-order consumption functions: a precautionary tale," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1385-1425, August.
  15. Newbery, David M G & Stiglitz, Joseph E, 1982. "Optimal Commodity Stock-piling Rules," Oxford Economic Papers, Oxford University Press, vol. 34(3), pages 403-27, November.
  16. Angus Deaton, 1989. "Saving and Liquidity Constraints," NBER Working Papers 3196, National Bureau of Economic Research, Inc.
  17. Wright, Brian D & Williams, Jeffrey C, 1982. "The Economic Role of Commodity Storage," Economic Journal, Royal Economic Society, vol. 92(367), pages 596-614, September.
  18. Albert Park, 2006. "Risk and Household Grain Management in Developing Countries," Economic Journal, Royal Economic Society, vol. 116(514), pages 1088-1115, October.
  19. Miranda, Mario J & Helmberger, Peter G, 1988. "The Effects of Commodity Price Stabilization Programs," American Economic Review, American Economic Association, vol. 78(1), pages 46-58, March.
  20. Theresa Osborne, 2004. "Market News in Commodity Price Theory: Application to the Ethiopian Grain Market," Review of Economic Studies, Oxford University Press, vol. 71(1), pages 133-164.
  21. Robert B. Barsky & N. Gregory Mankiw & Stephen P. Zeldes, 1987. "Ricardian Consumers With Keynesian Propensities," NBER Working Papers 1400, National Bureau of Economic Research, Inc.
  22. Scheinkman, Jose A & Schechtman, Jack, 1983. "A Simple Competitive Model with Production and Storage," Review of Economic Studies, Wiley Blackwell, vol. 50(3), pages 427-41, July.
  23. Barillas, Francisco & Fernandez-Villaverde, Jesus, 2007. "A generalization of the endogenous grid method," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2698-2712, August.
  24. Deaton, Angus & Laroque, Guy, 1996. "Competitive Storage and Commodity Price Dynamics," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 896-923, October.
  25. Bruce Preston & Mauro Roca, 2007. "Incomplete Markets, Heterogeneity and Macroeconomic Dynamics," NBER Working Papers 13260, National Bureau of Economic Research, Inc.
  26. Burkhard Heer & Alfred Maussner, 2004. "Computation of Business Cycle Models: A Comparison of Numerical Methods," CESifo Working Paper Series 1207, CESifo Group Munich.
  27. Theresa Osborne, 2004. "Market News in Commodity Price Theory: Application to the Ethiopian GrainMarket," Review of Economic Studies, Wiley Blackwell, vol. 71(1), pages 133-164, 01.
  28. Viktor Winschel, 2005. "Solving, Estimating and Selecting Nonlinear Dynamic Economic Models without the Curse of Dimensionality," GE, Growth, Math methods 0507014, EconWPA.
  29. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  30. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  31. Alexander Michaelides & Serena Ng, 1997. "Estimating the Rational Expectations Model of Speculative Storage: A Monte Carlo Comparison of Three Simulation Estimators," Boston College Working Papers in Economics 373, Boston College Department of Economics.
  32. Kenneth Judd & Lilia Maliar & Serguei Maliar, 2011. "Numerically stable and accurate stochastic simulation approaches for solving dynamic economic models," Working Papers. Serie AD 2011-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  33. Rust, John, 1996. "Numerical dynamic programming in economics," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 14, pages 619-729 Elsevier.
  34. Colin A. Carter & Cesar L. Revoredo Giha, 2007. "The Working Curve and Commodity Storage under Backwardation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(4), pages 864-872.
  35. Paul Fackler, 2005. "A MATLAB Solver for Nonlinear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 26(2), pages 173-181, October.
  36. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
  37. Miranda, Mario J. & Glauber, Joseph W., 1995. "Solving Stochastic Models Of Competitive Storage And Trade By Chebychev Collocaton Methods," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 24(1), April.
  38. Viktor Winschel & Markus Kr‰tzig, 2010. "Solving, Estimating, and Selecting Nonlinear Dynamic Models Without the Curse of Dimensionality," Econometrica, Econometric Society, vol. 78(2), pages 803-821, 03.
  39. Cafiero, Carlo & Bobenrieth H., Eugenio S.A. & Bobenrieth H., Juan R.A. & Wright, Brian D., 2011. "The empirical relevance of the competitive storage model," Journal of Econometrics, Elsevier, vol. 162(1), pages 44-54, May.
  40. Wright, Brian, 2001. "Storage and price stabilization," Handbook of Agricultural Economics, in: B. L. Gardner & G. C. Rausser (ed.), Handbook of Agricultural Economics, edition 1, volume 1, chapter 14, pages 817-861 Elsevier.
  41. Wright, Brian D & Williams, Jeffrey C, 1984. "The Welfare Effects of the Introduction of Storage," The Quarterly Journal of Economics, MIT Press, vol. 99(1), pages 169-92, February.
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