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The Method of Moderation for Solving Dynamic Stochastic Optimization Problems

Author

Listed:
  • Weifeng Wu

    (Johns Hopkins University)

  • Kiichi Tokuoka

    (International Monetary Fund)

  • Christopher Carroll

    (The Johns Hopkins University)

Abstract

We show that using a remapped version of the decision rule for a standard dynamic stochastic optimization problem, where the mapping is defined by asymptotic limits of the rule as uncertainty goes to zero, produces a solution that is both more robust (in the sense that a stable solution emerges across a wide range of parameter values with no 'tweaking' of the algorithm) and more efficient (in the sense that a rule of given accuracy can be represented with many fewer computations) than standard solution methods.

Suggested Citation

  • Weifeng Wu & Kiichi Tokuoka & Christopher Carroll, 2012. "The Method of Moderation for Solving Dynamic Stochastic Optimization Problems," 2012 Meeting Papers 1102, Society for Economic Dynamics.
  • Handle: RePEc:red:sed012:1102
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    References listed on IDEAS

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    1. Attanasio, Orazio P, et al, 1999. "Humps and Bumps in Lifetime Consumption," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 22-35, January.
    2. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    3. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    4. 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.
    5. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    6. Cagetti, Marco, 2003. "Wealth Accumulation over the Life Cycle and Precautionary Savings," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(3), pages 339-353, July.
    7. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-992, July.
    8. Carroll, Christopher D., 2006. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," Economics Letters, Elsevier, vol. 91(3), pages 312-320, June.
    9. Christopher D. Carroll, 1992. "The Buffer-Stock Theory of Saving: Some Macroeconomic Evidence," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 23(2), pages 61-156.
    10. Karen Kopecky & Richard Suen, 2010. "Finite State Markov-chain Approximations to Highly Persistent Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 701-714, July.
    11. Carroll, Christopher D. & Samwick, Andrew A., 1997. "The nature of precautionary wealth," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 41-71, September.
    12. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    13. Michael G. Palumbo, 1999. "Uncertain Medical Expenses and Precautionary Saving Near the End of the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 395-421.
    14. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
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    Cited by:

    1. Zhechun He & Peter Simmons, 2018. "A Life Cycle Model with Housing Tenure, Constrained Mortgage Finance and a Risky Asset under Uncertainty," Discussion Papers 18/18, Department of Economics, University of York.

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