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Velocity Volatility Assessment of Monetary Shocks on Cash-in-Advance Economies

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  • José Cao-Alvira

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Abstract

A projection method employing finite elements and a parameterized expectations algorithm is proposed for the global approximation of the equilibrium of a cash-in-advance model economy. The algorithm is shown to be accurate and efficient approximating highly nonlinear regions of the policy functions, specifically along the space of state variables where the slackness multiplier of the cash-in-advance constraint alternates between zero and strictly positive values. This favorable trait allows for a rigorous analysis on the variability of velocity of money. Velocity volatility, measured by its coefficient of variation, arises in the model on a consumption smoothing purpose by the agent at instances where the variation of expected marginal utility of consumption is relatively high due to the realization of a sufficiently low serially correlated monetary shock. In a simulation of the stochastic economic environment responding to a Markovian series of monetary growth rates and no frictions present, the equilibrium approximated via the proposed numerical solution method explains 80.3% of the velocity variability recently observed in the data; a significant improvement over previous attempts found in the literature. Copyright Springer Science+Business Media, LLC. 2012

Suggested Citation

  • José Cao-Alvira, 2012. "Velocity Volatility Assessment of Monetary Shocks on Cash-in-Advance Economies," Computational Economics, Springer;Society for Computational Economics, vol. 40(3), pages 293-311, October.
  • Handle: RePEc:kap:compec:v:40:y:2012:i:3:p:293-311
    DOI: 10.1007/s10614-011-9292-9
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    References listed on IDEAS

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    1. Hodrick, Robert J & Kocherlakota, Narayana R & Lucas, Deborah, 1991. "The Variability of Velocity in Cash-in-Advance Models," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 358-384, April.
    2. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    3. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    4. McGrattan, Ellen R., 1996. "Solving the stochastic growth model with a finite element method," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 19-42.
    5. Adrian Peralta-Alva & Manuel S. Santos, 2010. "Problems in the Numerical Simulation of Models with Heterogeneous Agents and Economic Distortions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 617-625, 04-05.
    6. Burnside, Craig, 1998. "Solving asset pricing models with Gaussian shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 329-340, March.
    7. 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.
    8. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-748, September.
    9. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
    10. Santos, Manuel S., 2002. "On Non-existence of Markov Equilibria in Competitive-Market Economies," Journal of Economic Theory, Elsevier, vol. 105(1), pages 73-98, July.
    11. Flodén, Martin, 2008. "A note on the accuracy of Markov-chain approximations to highly persistent AR(1) processes," Economics Letters, Elsevier, vol. 99(3), pages 516-520, June.
    12. Collard, Fabrice & Juillard, Michel, 2001. "Accuracy of stochastic perturbation methods: The case of asset pricing models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 979-999, June.
    13. Shouyong Shi, 2006. "Viewpoint: A microfoundation of monetary economics," Canadian Journal of Economics, Canadian Economics Association, vol. 39(3), pages 643-688, August.
    14. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June.
    15. Wang, Weimin & Shi, Shouyong, 2006. "The variability of velocity of money in a search model," Journal of Monetary Economics, Elsevier, vol. 53(3), pages 537-571, April.
    16. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March.
    17. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    18. José Cao-Alvira, 2010. "Finite Elements in the Presence of Occasionally Binding Constraints," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 355-370, April.
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    More about this item

    Keywords

    Finite element method; Inequality constraints; Cash-in-advance; Money velocity; C63; C68; O42; E32;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • O42 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Monetary Growth Models
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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