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Countercyclical Elasticity of Substitution
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Countercyclical Elasticity of Substitution

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  • Dongya Koh
  • Raül Santaeulàlia-Llopis

Abstract

We empirically show that the short-run elasticity of substitution between capital and labor (?t) is countercyclical. In recessions, capital and labor are more substitutable than in expansions. We explore the effects of the countercyclicality of ?t on aggregate fluctuations in the context of an otherwise standard competitive-markets business cycle model. The countercyclical ?t contributes to resolve four main labor-market puzzles: Dunlop-Tarshis phenomenon, labor-productivity puzzle, hours-productivity puzzle, and labor share puzzle.

Suggested Citation

  • Dongya Koh & Raül Santaeulàlia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona School of Economics.
  • Handle: RePEc:bge:wpaper:946
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    1. 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.
    2. Jordi Galí & Thijs van Rens, 2021. "The Vanishing Procyclicality of Labour Productivity [Why have business cycle fluctuations become less volatile?]," The Economic Journal, Royal Economic Society, vol. 131(633), pages 302-326.
    3. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    4. Lucas, Robert E, Jr, 1970. "Capacity, Overtime, and Empirical Production Functions," American Economic Review, American Economic Association, vol. 60(2), pages 23-27, May.
    5. Shao, Enchuan & Silos, Pedro, 2013. "Entry costs and labor market dynamics," European Economic Review, Elsevier, vol. 63(C), pages 243-255.
    6. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 2000. "The role of investment-specific technological change in the business cycle," European Economic Review, Elsevier, vol. 44(1), pages 91-115, January.
    7. Aruoba, S. Borağan & Bocola, Luigi & Schorfheide, Frank, 2017. "Assessing DSGE model nonlinearities," Journal of Economic Dynamics and Control, Elsevier, vol. 83(C), pages 34-54.
    8. Ellen R. McGrattan & Edward C. Prescott, 2012. "The Labor Productivity Puzzle," Book Chapters, in: Lee E. Ohanian & John B. Taylor & Ian J. Wright (ed.), Government Policies and the Delayed Economic Recovery, chapter 6, Hoover Institution, Stanford University.
    9. Lee, Bong-Soo & Ingram, Beth Fisher, 1991. "Simulation estimation of time-series models," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 197-205, February.
    10. Jean-Olivier Hairault & Francois Langot & Sophie Osotimehin, 2010. "Matching frictions, unemployment dynamics and the cost of business cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(4), pages 759-779, October.
    11. Charles I. Jones, 2003. "Growth, capital shares, and a new perspective on production functions," Proceedings, Federal Reserve Bank of San Francisco, issue Nov.
    12. Caballero, Ricardo J. & Hammour, Mohamad L., 1998. "Jobless growth: appropriability, factor substitution, and unemployment," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 48(1), pages 51-94, June.
    13. Yongsung Chang & Sunoong Hwang, 2015. "Asymmetric Phase Shifts in U.S. Industrial Production Cycles," The Review of Economics and Statistics, MIT Press, vol. 97(1), pages 116-133, March.
    14. Boldrin, Michael & Horvath, Michael, 1995. "Labor Contracts and Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 972-1004, October.
    15. Benhabib, Jess & Rogerson, Richard & Wright, Randall, 1991. "Homework in Macroeconomics: Household Production and Aggregate Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1166-1187, December.
    16. Alejandro Justiniano & Giorgio E. Primiceri, 2008. "The Time-Varying Volatility of Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 98(3), pages 604-641, June.
    17. Daron Acemoglu, 2002. "Directed Technical Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 781-809.
    18. Ellen McGrattan, 2020. "Intangible Capital and Measured Productivity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 147-166, August.
    19. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 117-124.
    20. De Graeve, Ferre & Dossche, Maarten & Emiris, Marina & Sneessens, Henri & Wouters, Raf, 2010. "Risk premiums and macroeconomic dynamics in a heterogeneous agent model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1680-1699, September.
    21. Dongya Koh & Raül Santaeulàlia‐Llopis & Yu Zheng, 2020. "Labor Share Decline and Intellectual Property Products Capital," Econometrica, Econometric Society, vol. 88(6), pages 2609-2628, November.
    22. Sichel, Daniel E, 1993. "Business Cycle Asymmetry: A Deeper Look," Economic Inquiry, Western Economic Association International, vol. 31(2), pages 224-236, April.
    23. Mangin, Sephorah & Sedláček, Petr, 2018. "Unemployment and the labor share," Journal of Monetary Economics, Elsevier, vol. 94(C), pages 41-59.
    24. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010. "Identifying the Elasticity of Substitution with Biased Technical Change," American Economic Review, American Economic Association, vol. 100(4), pages 1330-1357, September.
    25. Jesus Fernandez-Villaverde & Pablo Guerron-Quintana & Juan F. Rubio-Ramirez & Martin Uribe, 2011. "Risk Matters: The Real Effects of Volatility Shocks," American Economic Review, American Economic Association, vol. 101(6), pages 2530-2561, October.
    26. Lee E. Ohanian & John B. Taylor & Ian J. Wright (ed.), 2012. "Government Policies and the Delayed Economic Recovery," Books, Hoover Institution, Stanford University, number 6, December.
    27. Cosmin Ilut & Matthias Kehrig & Martin Schneider, 2018. "Slow to Hire, Quick to Fire: Employment Dynamics with Asymmetric Responses to News," Journal of Political Economy, University of Chicago Press, vol. 126(5), pages 2011-2071.
    28. Brent Neiman, 2014. "The Global Decline of the Labor Share," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 61-103.
    29. Ekkehart Schlicht, 2006. "A Variant of Uzawa's Theorem," Economics Bulletin, AccessEcon, vol. 5(6), pages 1-5.
    30. Martin Lettau & Sydney C. Ludvigson, 2014. "Shocks and Crashes," NBER Macroeconomics Annual, University of Chicago Press, vol. 28(1), pages 293-354.
    31. Jonas D. M. Fisher, 2006. "The Dynamic Effects of Neutral and Investment-Specific Technology Shocks," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 413-451, June.
    32. Chang, Yongsung & Schorfheide, Frank, 2003. "Labor-supply shifts and economic fluctuations," Journal of Monetary Economics, Elsevier, vol. 50(8), pages 1751-1768, November.
    33. Nicholas Bloom, 2009. "The Impact of Uncertainty Shocks," Econometrica, Econometric Society, vol. 77(3), pages 623-685, May.
    34. Luca Guerrieri & Dale W. Henderson & Jinill Kim, 2010. "Interpreting investment-specific technology shocks," International Finance Discussion Papers 1000, Board of Governors of the Federal Reserve System (U.S.).
    35. Ríos-Rull, José-Víctor & Schorfheide, Frank & Fuentes-Albero, Cristina & Kryshko, Maxym & Santaeulàlia-Llopis, Raül, 2012. "Methods versus substance: Measuring the effects of technology shocks," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 826-846.
    36. Young, Andrew T., 2013. "U.S. Elasticities Of Substitution And Factor Augmentation At The Industry Level," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 861-897, June.
    37. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007, Elsevier.
    38. Gomme, Paul & Greenwood, Jeremy, 1995. "On the cyclical allocation of risk," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 91-124.
    39. Domenico Ferraro, 2018. "The Asymmetric Cyclical Behavior of the U.S. Labor Market," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 145-162, October.
    40. Jason G. Cummins & Giovanni L. Violante, 2002. "Investment-Specific Technical Change in the US (1947-2000): Measurement and Macroeconomic Consequences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(2), pages 243-284, April.
    41. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    42. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    43. repec:hal:wpspec:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    44. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    45. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    46. Ellen R. McGrattan & Edward C. Prescott, 2014. "A Reassessment of Real Business Cycle Theory," American Economic Review, American Economic Association, vol. 104(5), pages 177-182, May.
    47. Patrick J. Kehoe & Andrew Atkeson, 1999. "Models of Energy Use: Putty-Putty versus Putty-Clay," American Economic Review, American Economic Association, vol. 89(4), pages 1028-1043, September.
    48. Robert S. Chirinko & Steven M. Fazzari & Andrew P. Meyer, 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital--Labor Substitution Elasticity," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(4), pages 587-594, October.
    49. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-450, June.
    50. Nicolas Coeurdacier & Helene Rey & Pablo Winant, 2011. "The Risky Steady State," American Economic Review, American Economic Association, vol. 101(3), pages 398-401, May.
    51. Katharine G. Abraham & John C. Haltiwanger, 1995. "Real Wages and the Business Cycle," Journal of Economic Literature, American Economic Association, vol. 33(3), pages 1215-1264, September.
    52. Simon Gilchrist & John C. Williams, 2000. "Putty-Clay and Investment: A Business Cycle Analysis," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 928-960, October.
    53. Brandolini, Andrea, 1995. "In Search of a Stylised Fact: Do Real Wages Exhibit a Consistent Pattern of Cyclical Variability?," Journal of Economic Surveys, Wiley Blackwell, vol. 9(2), pages 103-163, June.
    54. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    55. Charles I. Jones & Dean Scrimgeour, 2008. "A New Proof of Uzawa's Steady-State Growth Theorem," The Review of Economics and Statistics, MIT Press, vol. 90(1), pages 180-182, February.
    56. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
    57. Alejandro Justiniano & Claudio Michelacci, 2012. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies in the United States and Europe," NBER International Seminar on Macroeconomics, University of Chicago Press, vol. 8(1), pages 169-235.
    58. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-417, June.
    59. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    60. repec:adr:anecst:y:2009:i:95-96:p:13 is not listed on IDEAS
    61. Patrick Francois & Huw Lloyd-Ellis, 2009. "Schumpeterian Business Cycles with Pro-Cyclical R&D," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(4), pages 567-591, October.
    62. Ruge-Murcia, Francisco, 2012. "Estimating nonlinear DSGE models by the simulated method of moments: With an application to business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 914-938.
    63. Sargent, Thomas J & Wallace, Neil, 1974. "The Elasticity of Substitution and Cyclical Behavior of Productivity, Wages, and Labor's Share," American Economic Review, American Economic Association, vol. 64(2), pages 257-263, May.
    64. Giuseppe Moscarini & Fabien Postel-Vinay, 2009. "The Timing of Labor Market Expansions: New Facts and a New Hypothesis," NBER Chapters, in: NBER Macroeconomics Annual 2008, Volume 23, pages 1-51, National Bureau of Economic Research, Inc.
    65. Klump, Rainer & Papageorgiou, Chris, 2008. "Editorial introduction The CES production function in the theory and empirics of economic growth," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 599-600, June.
    66. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    67. Cho, Jang-Ok & Cooley, Thomas F., 1994. "Employment and hours over the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 18(2), pages 411-432, March.
    68. Colciago, Andrea & Rossi, Lorenza, 2015. "Firm Dynamics, Endogenous Markups, And The Labor Share Of Income," Macroeconomic Dynamics, Cambridge University Press, vol. 19(6), pages 1309-1331, September.
    69. de Groot, Oliver, 2013. "Computing the risky steady state of DSGE models," Economics Letters, Elsevier, vol. 120(3), pages 566-569.
    70. Gary D. Hansen & Edward C. Prescott, 2005. "Capacity constraints, asymmetries, and the business cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 850-865, October.
    71. Gomme, Paul & Rupert, Peter, 2007. "Theory, measurement and calibration of macroeconomic models," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 460-497, March.
    72. Yashiv, Eran, 2012. "Frictions and the Joint Behavior of Hiring and Investment," IZA Discussion Papers 6636, Institute of Labor Economics (IZA).
    73. Chirinko, Robert S. & Fazzari, Steven M. & Meyer, Andrew P., 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital–Labor Substitution Elasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(4), pages 587-594.
    74. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
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    More about this item

    Keywords

    aggregate fluctuations; elasticity of substitution; asymmetric response; labor market puzzles;
    All these keywords.

    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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