The Capital and Labor Elasticities of Aggregate Output

Motavasseli, Ali

doi:10.22054/joer.2023.72318.1117

Document Type : Research Paper

Author

Ali Motavasseli

Assistant Professor of Economics, Institute for Management and Planning Studies, Tehran, Iran

https://doi.org/10.22054/joer.2023.72318.1117

Abstract

The elasticity of aggregate output with respect to aggregate capital and labor is computed using the cost structure of the production network of Iran's economy without using the aggregate production function. Estimations are made using Input-Output tables and according to a method developed by Baqaee and Farhi (2019, 2020). Elasticities are computed for the years 1986, 1999, 2001, 2004, 2010, 2011, and 2016. Various assumptions regarding capital costs of production sectors lead to lower and upper bounds for capital elasticity. The bounds for capital elasticity of Iran's economy were 0.15-0.35 in 1986, up to 0.22-0.55 in 1999, 2001, and 2004, even higher to 0.28-0.59 in 2010 and 2011, and down to 0.21-0.42 in 2016. Labor elasticities are one minus capital elasticities. Notably, the bounds for capital elasticity steadily increased from 1986 until the early 2010s, followed by a decline. For the non-oil sectors, the bounds for capital elasticity and the spread between those bounds are smaller than the entire economy. The bounds for the non-oil economy are 0.15-0.32 in 1986, up to 0.17-0.47 from 1999 to 2011, and 0.17-0.35 in 2016. The results show that ignoring labor compensation from unincorporated sectors of the economy increases the capital elasticity by at least 0.17 points. Our estimations can be used for robustness check and sensitivity analysis wherever capital and labor elasticities are needed, such as growth accounting.

Keywords

References

استادزاد، علی حسین. (1399). محاسبه مسیر تولید در حالت پایا برای اقتصاد ایران (رهیافتی از الگوی رشد درون‌زا با تابع تولید CES). فصلنامه مطالعات اقتصادی کاربردی ایران. ۹(۳۳)، ۱۷۱-۱۴۱.

حساب‌های ملی ایران. (۱۳۹۹). بانک مرکزی جمهوری اسلامی ایران.

رهنمای قراملکی، غلامحسین، متفکرآزاد، محمدعلی، رنج پور، رضا. (1394). بررسی تاثیر سرمایه R&D داخلی، موجودی کالاهای سرمایه‌ای وارد شده و سرمایه انسانی روی ارزش افزوده صنایع با فناوری بالا در ایران. فصلنامه مطالعات اقتصادی کاربردی ایران. ۴(۱۵): ۵۴-۲۱.

صمصامی، حسین و داغمه چی فیروزجایی، عذرا. (1391). اثر آزادسازی تجاری بر بهره‌وری کل عوامل تولید بنگاه‌ها (با تاکید بر نرخ تعرفه). فصلنامه پژوهشنامه اقتصادی. 12 (44). 147-173.

طرح آمارگیری نیروی کار. مرکز آمار ایران. استخراج شده در 1401.

https://www.amar.org.ir/niru#55851005

گرمابی، ابوالفضل، جلالی نائینی، احمدرضا، توکلیان، حسین. (۱۴۰۰). بررسی چرخه‌های تجاری اقتصاد ایران با در نظرگرفتن اثر شتاب‌ دهنده مالی در قالب یک مدل DSGE. فصلنامه برنامه‌ریزی و بودجه. ۲۶ (۱): ۶۷-۳۳.

Baqaee, D., & Farhi, E. (2019). A short note on aggregating productivity (No. w25688). National Bureau of Economic Research.

Baqaee, D. R., & Farhi, E. (2020). Productivity and misallocation in general equilibrium. The Quarterly Journal of Economics, 135(1), 105-163. doi: 10.1093/qje/qjz030.

Basu, S., & Fernald, J. G. (2002). Aggregate productivity and aggregate technology. European Economic Review, 46(6), 963-991. doi: 10.1016/S0014-2921(02)00161-7

Carvalho, V. M., & Tahbaz-Salehi, A. (2019). Production networks: A primer. Annual Review of Economics, 11, 635-663. doi: 10.1146/annurev-economics-080218-030212

De Loecker, J., & Warzynski, F. (2012). Markups and firm-level export status. American economic review, 102(6), 2437-71. doi: 10.1257/aer.102.6.2437.

Domar, E. D. (1961). On the measurement of technological change. The Economic Journal, 71(284), 709-729.

Fernald, J., & Neiman, B. (2011). Growth accounting with misallocation: Or, doing less with more in Singapore. American Economic Journal: Macroeconomics, 3(2), 29-74. doi: 10.1257/mac.3.2.29.

Garmabi A, Jalali-Naiini A, Tavakolian H. (2021). Investigating the Business Cycles of the Iranian Economy by Considering the Effect of Financial Accelerator in the Form of a DSGE Model. JPBUD. 26(1), 33-67. doi:10.52547/jpbud.26.1.33. [In Persian].

Gomme, P., & Rupert, P. (2004). Measuring labor's share of income. FRB of Cleveland Policy Discussion Paper, (7). doi: 10.2139/ssrn.1024847

Hall, R. E. (1988). The relation between price and marginal cost in US industry. Journal of political Economy, 96(5), 921-947. doi: 10.1086/261570.

Hall, R. E. (1990). Invariance properties of Solow's productivity residual, Diamond P (ed.) Growth productivity and unemployment. doi: 10.3386/w3034.

Hulten, C. R. (1978). Growth accounting with intermediate inputs. The Review of Economic Studies, 45(3), 511-518. doi: 10.2307/2297252.

Jones, C. I. (2016). The facts of economic growth. In Handbook of macroeconomics (Vol. 2, pp. 3-69). Elsevier. doi: 10.1016/bs.hesmac.2016.03.002

Karabarbounis, L., & Neiman, B. (2019). Accounting for factorless income. NBER Macroeconomics Annual, 33(1), 167-228. doi: 10.1086/700894.

Ostadzad, A. H. (2020). Calculate the Steady-State Production Trajectory for Iranian Economy (An Approach of endogenous Growth Model With CES Production Function). Quarterly Journal of Applied Economics Studies Iran. 9(33), 141-171. doi: 10.22084/AES.2020.20372.2959. [In Persian].

Rahnema, Gh. (2015). The Impact of Internal R&D Capital, Imported Capital Goods Stock and Human Capital on Iranian High-Tech Industries' Value Added. Quarterly Journal of Applied Economics Studies Iran. 4(15), 21-54. [In Persian].

UNData, http://data.un.org/Glossary.aspx?q=mixed+income, retrieved on May 8^th, 2022.

Solow, R. M. (1957). Technical change and the aggregate production function. The review of Economics and Statistics, 312-320. doi: 10.2307/1926047.

Vollrath, D. (2021). The Elasticity of Aggregate Output with Respect to Capital and Labor. Available at SSRN 3835411.[1]