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Alternative methods of solving state-dependent pricing models

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Author Info
Edward S. Knotek II
Stephen Terry

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Abstract

We use simulation-based techniques to compare and contrast two methods for solving state-dependent pricing models: discretization, which solves and simulates the model on a grid; and collocation, which relies on Chebyshev polynomials. While both methods produce qualitatively similar results, statistically significant quantitative differences do arise. We present evidence favoring discretization over collocation in this context, given a lack of robustness in the latter.

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Paper provided by Federal Reserve Bank of Kansas City in its series Research Working Paper with number RWP 08-10.

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Date of creation: 2008
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Handle: RePEc:fip:fedkrw:rwp08-10

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  1. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information Versus Sticky Prices: A Proposal To Replace The New Keynesian Phillips Curve," The Quarterly Journal of Economics, MIT Press, vol. 117(4), pages 1295-1328, November. [Downloadable!] (restricted)
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  2. Peter J. Klenow & Oleksiy Kryvtsov, 2005. "State-Dependent or Time-Dependent Pricing: Does it Matter for Recent U.S. Inflation?," NBER Working Papers 11043, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, MIT Press, vol. 123(4), pages 1415-1464, November. [Downloadable!] (restricted)
  4. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115, pages 171-199. [Downloadable!] (restricted)
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  5. Michael Dotsey & Robert G. King, 2005. "Implications of state-dependent pricing for dynamic macroeconomic models," Working Papers 05-2, Federal Reserve Bank of Philadelphia. [Downloadable!]
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  6. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181. [Downloadable!] (restricted)
  7. Mark Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," Macroeconomics 0402020, EconWPA. [Downloadable!]
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  8. Klenow, Peter J. & Willis, Jonathan L., 2007. "Sticky information and sticky prices," Journal of Monetary Economics, Elsevier, vol. 54(Supplemen), pages 79-99, September. [Downloadable!] (restricted)
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  9. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing And The General Equilibrium Dynamics Of Money And Output," The Quarterly Journal of Economics, MIT Press, vol. 114(2), pages 655-690, May. [Downloadable!] (restricted)
  10. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April. [Downloadable!] (restricted)
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  12. Levy, Daniel, et al, 1997. "The Magnitude of Menu Costs: Direct Evidence from Large U.S. Supermarket Chains," The Quarterly Journal of Economics, MIT Press, vol. 112(3), pages 791-825, August.
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  13. Edward S. Knotek II, 2006. "A tale of two rigidities: sticky prices in a sticky-information environment," Research Working Paper RWP 06-15, Federal Reserve Bank of Kansas City. [Downloadable!]
  14. Ricardo Reis, 2006. "Inattentive Producers," Review of Economic Studies, Blackwell Publishing, vol. 73(3), pages 793-821, 07. [Downloadable!] (restricted)
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  15. Julio Rotemberg, 1987. "The New Keynesian Microfoundations," NBER Chapters, in: NBER Macroeconomics Annual 1987, Volume 2, pages 69-116 National Bureau of Economic Research, Inc. [Downloadable!]
  16. Ricardo J. Caballero & Eduardo M.R.A. Engel, 1991. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," NBER Working Papers 3729, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  17. Peter J. Klenow & Jonathan L. Willis, 2006. "Real rigidities and nominal price changes," Research Working Paper RWP 06-03, Federal Reserve Bank of Kansas City. [Downloadable!]
  18. Emi Nakamura & Jón Steinsson, 2008. "Monetary Non-Neutrality in a Multi-Sector Menu Cost Model," NBER Working Papers 14001, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  19. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September. [Downloadable!] (restricted)
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