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Estimating general equilibrium models: an application with labour market frictions

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  • Federico S. Mandelman
  • Francesco Zanetti

Abstract

This handbook shows how to set up, approximate, and estimate a standard real business cycle model enriched with labour market frictions. The structural equations of the model are derived by maximizing the agents’ objective function subject to the structure of the economy. Given the complexity of the resulting equations, we show how to approximate the model around its long-run equilibrium. We then use the approximated equations to take the model to the data and estimate it using Bayesian techniques. To perform the analysis we use a simple real business cycle model for two reasons. First, due to its simplicity, we can primarily focus on the modelling and estimation techniques; second, this simple framework constitutes the backbone model on which central banks build microfounded models to support the policy analysis. A series of forthcoming Handbooks will document how to enrich this simple framework. To motivate the exercise we start from recent empirical evidence suggesting that a positive technology shock leads to a decline in labour inputs. The standard real business model fails to account for this empirical regularity. The question we analyze in this handbook is whether the presence of labour market frictions addresses this problem, without otherwise altering the functioning of the standard model. To this end, we develop and estimate a real business cycle model using Bayesian techniques that allows, but does not require, labour market frictions to generate a negative response of employment to a technology shock. The results of the estimation support the hypothesis that labour market frictions are the factor responsible for the negative response of employment. Given the pedagogical nature of this handbook, we provide documentation of the MATLAB codes used to implement the modelling and estimation techniques described. To make the programming simple, we used Dynare version 3. We thank Michel Juillard for making his routines publicly available.

Suggested Citation

  • Federico S. Mandelman & Francesco Zanetti, 2008. "Estimating general equilibrium models: an application with labour market frictions," Technical Books, Centre for Central Banking Studies, Bank of England, edition 1, number 1, April.
  • Handle: RePEc:ccb:tbooks:1
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    1. Miles S. Kimball & John G. Fernald & Susanto Basu, 2006. "Are Technology Improvements Contractionary?," American Economic Review, American Economic Association, vol. 96(5), pages 1418-1448, December.
    2. Jordi Gali, 1999. "Technology, Employment, and the Business Cycle: Do Technology Shocks Explain Aggregate Fluctuations?," American Economic Review, American Economic Association, vol. 89(1), pages 249-271, March.
    3. Hairault, Jean-Olivier & Langot, Francois & Portier, Franck, 1997. "Time to implement and aggregate fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 109-121, November.
    4. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    5. Lawrence J. Christiano & Martin Eichenbaum & Robert Vigfusson, 2004. "The Response of Hours to a Technology Shock: Evidence Based on Direct Measures of Technology," Journal of the European Economic Association, MIT Press, vol. 2(2-3), pages 381-395, 04/05.
    6. Julio J. Rotemberg, 2008. "Cyclical Wages in a Search-and-Bargaining Model with Large Firms," NBER Chapters, in: NBER International Seminar on Macroeconomics 2006, pages 65-114, National Bureau of Economic Research, Inc.
    7. Whelan, Karl T., 2009. "Technology shocks and hours worked: Checking for robust conclusions," Journal of Macroeconomics, Elsevier, vol. 31(2), pages 231-239, June.
    8. Eric M. Leeper & Tao Zha, 2000. "Assessing simple policy rules: a view from a complete macro model," FRB Atlanta Working Paper 2000-19, Federal Reserve Bank of Atlanta.
    9. 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.
    10. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    11. Rogerson, Richard & Wallenius, Johanna, 2009. "Micro and macro elasticities in a life cycle model with taxes," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2277-2292, November.
    12. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2004. "A Critique of Structural VARs Using Real Business Cycle Theory," Levine's Bibliography 122247000000000518, UCLA Department of Economics.
    13. Fabio Canova & David López-Salido & Claudio Michelacci, 2007. "The labor market effects of technology shocks," Working Papers 0719, Banco de España.
    14. Stephen Nickell, 1997. "Unemployment and Labor Market Rigidities: Europe versus North America," Journal of Economic Perspectives, American Economic Association, vol. 11(3), pages 55-74, Summer.
    15. Francis, Neville & Ramey, Valerie A., 2005. "Is the technology-driven real business cycle hypothesis dead? Shocks and aggregate fluctuations revisited," Journal of Monetary Economics, Elsevier, vol. 52(8), pages 1379-1399, November.
    16. Fabrice Collard & Harris Dellas, 2007. "Technology Shocks and Employment," Economic Journal, Royal Economic Society, vol. 117(523), pages 1436-1459, October.
    17. Claudio Michelacci & David Lopez-Salido, 2007. "Technology Shocks and Job Flows," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1195-1227.
    18. John Shea, 1999. "What Do Technology Shocks Do?," NBER Chapters, in: NBER Macroeconomics Annual 1998, volume 13, pages 275-322, National Bureau of Economic Research, Inc.
    19. Zanetti, Francesco, 2008. "Labor and investment frictions in a real business cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3294-3314, October.
    20. Pencavel, John, 1987. "Labor supply of men: A survey," Handbook of Labor Economics, in: O. Ashenfelter & R. Layard (ed.), Handbook of Labor Economics, edition 1, volume 1, chapter 1, pages 3-102, Elsevier.
    21. Yongsung Chang & Taeyoung Doh & Frank Schorfheide, 2007. "Non‐stationary Hours in a DSGE Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1357-1373, September.
    22. Ireland, Peter N., 2004. "A method for taking models to the data," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1205-1226, March.
    23. Yashiv, Eran, 2007. "Labor search and matching in macroeconomics," European Economic Review, Elsevier, vol. 51(8), pages 1859-1895, November.
    24. Michelle Alexopoulos, 2011. "Read All about It!! What Happens Following a Technology Shock?," American Economic Review, American Economic Association, vol. 101(4), pages 1144-1179, June.
    25. Yashiv, Eran, 2006. "Evaluating the performance of the search and matching model," European Economic Review, Elsevier, vol. 50(4), pages 909-936, May.
    26. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    27. Blanchard, Olivier & Galί, Jordi, 2006. "A New Keynesian Model with Unemployment," Kiel Working Papers 1335, Kiel Institute for the World Economy (IfW Kiel).
    28. Robert Shimer, 2012. "Reassessing the Ins and Outs of Unemployment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 127-148, April.
    29. Ireland, Peter N., 2001. "Technology shocks and the business cycle: On empirical investigation," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 703-719, May.
    30. Eran Yashiv, 2000. "Hiring as Investment Behavior," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 486-522, July.
    31. Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2001. "Comparing dynamic equilibrium economies to data," FRB Atlanta Working Paper 2001-23, Federal Reserve Bank of Atlanta.
    32. Kydland, Finn E & Prescott, Edward C, 1991. "Hours and Employment Variation in Business Cycle Theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 63-81, January.
    33. Pengfei Wang & Yi Wen, 2007. "Understanding the puzzling effects of technology shocks," Working Papers 2007-018, Federal Reserve Bank of St. Louis.
    34. Chang, Yongsung & Schorfheide, Frank, 2003. "Labor-supply shifts and economic fluctuations," Journal of Monetary Economics, Elsevier, vol. 50(8), pages 1751-1768, November.
    35. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    36. Bean, Charles R, 1994. "European Unemployment: A Survey," Journal of Economic Literature, American Economic Association, vol. 32(2), pages 573-619, June.
    37. Liu, Zheng & Phaneuf, Louis, 2007. "Technology shocks and labor market dynamics: Some evidence and theory," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2534-2553, November.
    38. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    39. Thomas Lubik & Frank Schorfheide, 2006. "A Bayesian Look at New Open Economy Macroeconomics," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 313-382, National Bureau of Economic Research, Inc.
    40. Merz, Monika, 1995. "Search in the labor market and the real business cycle," Journal of Monetary Economics, Elsevier, vol. 36(2), pages 269-300, November.
    41. Rabanal, Pau & Rubio-Ramirez, Juan F., 2005. "Comparing New Keynesian models of the business cycle: A Bayesian approach," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1151-1166, September.
    42. Bencivenga, Valerie R, 1992. "An Econometric Study of Hours and Output Variation with Preference Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 449-471, May.
    43. Eran Yashiv, 2000. "The Determinants of Equilibrium Unemployment," American Economic Review, American Economic Association, vol. 90(5), pages 1297-1322, December.
    44. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, September.
    45. David N. DeJong & Beth F. Ingram & Charles H. Whiteman, 2000. "Keynesian impulses versus Solow residuals: identifying sources of business cycle fluctuations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(3), pages 311-329.
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