Heterogeneous Productivity Shocks, Elasticity of Substitution and Aggregate Fluctuations

Alessio, Moro and Rodolfo, Stucchi (2011): Heterogeneous Productivity Shocks, Elasticity of Substitution and Aggregate Fluctuations.

Abstract

We use a Dixit-Stiglitz setting to show that aggregate productivity fluctuations can be generated through changes in the dispersion of firms' productivity. When the elasticity of substitution among goods is larger than one, an increase in the dispersion raises aggregate productivity because firms at the top of the distribution produce most of output. When the elasticity is smaller than one, an increase in the dispersion reduces aggregate productivity because firms at the bottom of the distribution use most of inputs. We use individual firm data from Spanish manufacturing sectors to test the relationship between the dispersion of firms' productivity and aggregate productivity. The estimated coefficients are consistent with the predictions of the model: we find that an increase in the coefficient of variation of firms productivity of 1% increases aggregate productivity by 0.59% in sectors with an elasticity of substitution larger than one while the same increase in the coefficient of variation reduces aggregate productivity by 0.07% in sectors with an elasticity of substitution smaller than one.

• Item Type: MPRA Paper
• Language: English
• Keywords: Heterogeneous Productivity Shocks, Elasticity of Substitution, Volatility, Aggregate Productivity.
• Subjects: E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles; E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E30 - General; E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E13 - Neoclassical; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E20 - General

References

Bachman, R. and Bayer, R. (2009), "Firm-specific roductivity risk over the business cycle: facts and aggregate implications", Yale mimeo.

Bloom, N., Floetotto, M. and Jaimovich, N., (2009), "Really Uncertain Business Cycle", manuscript.

Carvalho, V. M., (2009), "Aggregate Fluctuations and The Network Structure of Intersectoral Trade", manuscript, University of Chicago.

Dolado, J. J., and Stucchi, R., (2009), "Do temporary contracts affect TFP? Evidence from Spanish firms," CEPR Discussion Paper No. 7055.

Doraszelski, U. and Jaumandreu, J., (2009), "R&D and Productivity: Estimating Endogenous Productivity," Harvard University Working Paper.

Dupor, B., (1999), "Aggregation and Irrelevance in Multi-Sector Models", Journal of Monetary Economics, 43, 391-409.

Escribano, A., and Stucchi, R., (2009), "Catching up in firms' Total Factor Productivity through the business cycle: Evidence from Spanish manufacturing surveys", mimeo.

Guner, N., Ventura, G. and Xu, Y., (2008), "Macroeconomic Implications of Size Dependent Policies", Review of Economic Dynamics, 11(4), 721-744.

Griffith, R., Haskel, J. and Neely, A., (2006), "Why is Productivity so Dispersed?", Oxford Review of Economic Policy, Vol. 22, Issue 4, pp. 513-525.

Horvath, M., (1998), "Cyclicality and Sectoral Linkages: Aggregate Fluctuations from Independent Sectoral Shocks", Review of Economic Dynamics, 1, 781-808.

Hsieh, C-T., and Klenow, P. J., (2009), "Relative Prices and Relative Prosperity", Quarterly Journal of Economics, CXXIV, 1403-1448.

Long Jr., J.B. and Plosser, C. I., (1987), "Sectoral versus Aggregate Shocks", American Economic Review, 77, 333-36.

Lucas, R.E., (1981), "Understanding Business Cycles", in Studies in Business Cycle Theory. MIT Press.

Restuccia, D. and Rogerson, R., (2008), "Policy Distortions and Aggregate Productivity with Heterogeneous Plants", Review of Economic Dynamics, 11(4), 707-720.

Syverson, C., (2004) "Market Structure and Productivity: A Concrete Example", Journal of Political Economy, 112(6), 1181-1222.