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A Q-theory model with lumpy investment

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  • Jianjun Miao
  • Pengfei Wang

Abstract

We present an analytically tractable dynamic stochastic general equilibrium model that incorporates micro-level fixed and convex adjustment costs. We provide an explicit characterization of equilibrium dynamics by a system of nonlinear stochastic difference equations. We provide general conditions under which our model features investment lumpiness at the microeconomic level, but aggregate dynamics are isomorphic to those in a Q-theory model without fixed costs. This theoretical result is independent of the specification of the fixed cost distribution and also holds true when firms face persistent idiosyncratic productivity shocks. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Jianjun Miao & Pengfei Wang, 2014. "A Q-theory model with lumpy investment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(1), pages 133-159, September.
    • Handle: RePEc:spr:joecth:v:57:y:2014:i:1:p:133-159
    DOI: 10.1007/s00199-013-0794-7
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    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Prescott, Edward C., 1986. "Theory ahead of business-cycle measurement," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 11-44, January.
    3. 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, President and Fellows of Harvard College, vol. 114(2), pages 655-690.
    4. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1999. "Explaining Investment Dynamics in U.S. Manufacturing: A Generalized (S,s) Approach," Econometrica, Econometric Society, vol. 67(4), pages 783-826, July.
    5. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    6. Gourio, Francois & Kashyap, Anil K, 2007. "Investment spikes: New facts and a general equilibrium exploration," Journal of Monetary Economics, Elsevier, vol. 54(Supplemen), pages 1-22, September.
    7. Pengfei Wang & Yi Wen, 2012. "Hayashi Meets Kiyotaki and Moore: A Theory of Capital Adjustment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 207-225, April.
    8. Khan, Aubhik & Thomas, Julia K., 2003. "Nonconvex factor adjustments in equilibrium business cycle models: do nonlinearities matter?," Journal of Monetary Economics, Elsevier, vol. 50(2), pages 331-360, March.
    9. Julia K. Thomas, 2002. "Is Lumpy Investment Relevant for the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 508-534, June.
    10. Abel, Andrew B. & Eberly, Janice C., 1998. "The mix and scale of factors with irreversibility and fixed costs of investment," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 48(1), pages 101-135, June.
    11. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2011. "When Is the Government Spending Multiplier Large?," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 78-121.
    12. Tobin, James, 1969. "A General Equilibrium Approach to Monetary Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 1(1), pages 15-29, February.
    13. Ricardo J. Caballero & John V. Leahy, 1996. "Fixed Costs: The Demise of Marginal q," NBER Working Papers 5508, National Bureau of Economic Research, Inc.
    14. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    15. Lawrence J. Christiano & Michele Boldrin & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March.
    16. Gadi Barlevy, 2004. "The Cost of Business Cycles Under Endogenous Growth," American Economic Review, American Economic Association, vol. 94(4), pages 964-990, September.
    17. Neus Herranz & Stefan Krasa & Anne P. Villamil, 2015. "Entrepreneurs, Risk Aversion, and Dynamic Firms," Journal of Political Economy, University of Chicago Press, vol. 123(5), pages 1133-1176.
    18. Aubhik Khan & Julia K. Thomas, 2008. "Idiosyncratic Shocks and the Role of Nonconvexities in Plant and Aggregate Investment Dynamics," Econometrica, Econometric Society, vol. 76(2), pages 395-436, March.
    19. John Haltiwanger & Russell Cooper & Laura Power, 1999. "Machine Replacement and the Business Cycle: Lumps and Bumps," American Economic Review, American Economic Association, vol. 89(4), pages 921-946, September.
    20. Jermann, Urban J., 1998. "Asset pricing in production economies," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 257-275, April.
    21. Andrew Caplin & John Leahy, 1997. "Aggregation and Optimization with State-Dependent Pricing," Econometrica, Econometric Society, vol. 65(3), pages 601-626, May.
    22. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    23. Russell W. Cooper & John C. Haltiwanger, 2006. "On the Nature of Capital Adjustment Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 611-633.
    24. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    25. Sveen, Tommy & Weinke, Lutz, 2007. "Lumpy investment, sticky prices, and the monetary transmission mechanism," Journal of Monetary Economics, Elsevier, vol. 54(Supplemen), pages 23-36, September.
    26. Christopher L. House, 2008. "Fixed Costs and Long-Lived Investments," NBER Working Papers 14402, National Bureau of Economic Research, Inc.
    27. Baxter, Marianne & Crucini, Mario J, 1993. "Explaining Saving-Investment Correlations," American Economic Review, American Economic Association, vol. 83(3), pages 416-436, June.
    28. Andrew Caplin & John Leahy, 1991. "State-Dependent Pricing and the Dynamics of Money and Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 683-708.
    29. Mark E. Doms & Timothy Dunne, 1998. "Capital Adjustment Patterns in Manufacturing Plants," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 409-429, April.
    30. Christopher House, 2008. "Fixed Costs and Long-Lived Investments," 2008 Meeting Papers 3, Society for Economic Dynamics.
    31. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    32. Ricardo J. Caballero & Eduardo M. R. A. Engel & John C. Haltiwanger, 1995. "Plant-Level Adjustment and Aggregate Investment Dynamics," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 26(2), pages 1-54.
    33. Caplin, Andrew & Leahy, John, 2006. "Equilibrium in a durable goods market with lumpy adjustment," Journal of Economic Theory, Elsevier, vol. 128(1), pages 187-213, May.
    34. Uzawa, H, 1969. "Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 77(4), pages 628-652, Part II, .
    35. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 321-321.
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    Cited by:

    1. Michael K. Johnston & Robert G. King & Denny Lie, 2014. "Straightforward approximate stochastic equilibria for nonlinear rational expectations models," CAMA Working Papers 2014-59, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    2. House, Christopher L., 2014. "Fixed costs and long-lived investments," Journal of Monetary Economics, Elsevier, vol. 68(C), pages 86-100.
    3. Robert Akerlof & Richard Holden, 2016. "Movers and Shakers," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(4), pages 1849-1874.

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    More about this item

    Keywords

    Generalized (S; s) rule; Lumpy investment; General equilibrium; Business cycles; Marginal Q; Adjustment costs; E22; E32;
    All these keywords.

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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