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Empirical Economics

Erschienen in:

07.04.2023

Intratemporal elasticity of substitution between private and public consumption: new evidence and implications

verfasst von: John Nana Francois, Andrew Keinsley

Erschienen in: Empirical Economics | Ausgabe 4/2023

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Abstract

This paper estimates the intratemporal elasticity of substitution (IES) between private and public consumption in private utility. Using panel data for 17 European countries over 1970-2018, we estimate the IES to lie between 0.6 and 0.74. When combined with the relevant intertemporal elasticity of substitution, our estimated IES implies that private and public consumption are Edgeworth complements. The panel estimate, however, conceals a large heterogeneity where the IES ranges from as low as 0.3 in Italy to 1.3 in Ireland. This suggests that the crowding-in (out) effect of fiscal policies involving change in government consumption will differ across countries. This cross-country variation in the IES is positively correlated the share of health spending in public expenditure but negatively correlated with the share of public order and safety in government expenditures. We also find a U-shape relationship between the size of IES and government size.

Vorheriger Artikel Assessing fiscal multipliers in times of crisis: evidence from selected CEE countries

Nächster Artikel Institutions and economic development: new measurements and evidence

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I illustrate the relevance of intratemporal elasticity of substitution in a simple RBC model in section 2.

Unlike Fiorito and Kollintzas (2004) where no temporal utility function is specified, we specify a CES aggregator function for effective consumption. The study, however, shares the same underlying assumption of permanent income hypothesis. Additionally, while Fiorito and Kollintzas (2004) focuses on the sub-categories of government consumption (i.e., merit and public goods), we concentrate on aggregate public consumption, which is often focused on in both empirical and theoretical work. We, however, employ the decomposition of public consumption into merit and public goods to attempt to explain the relationship between private and government consumption studied in the paper.

See for instance, https://www.aicgs.org/2020/01/fiscal-stimulus-for-the-european-economy-the-right-thing/ for further discussions.

Boehm (2019) shows that the government investment multiplier is near zero whereas the government consumption multiplier is approximately 0.8.

The section also allows for a partial review of the literature.

I employ the Stata program developed by Abrigo and Love (2016) for this simple exercise. As stressed by the authors, the GMM estimator suffers from weak instrument problems when the endogenous variables have a unit root. we run unit-root tests on the differenced data and find no unit roots in the variables we employ for the exercise.

There is, however, a number of studies that do not find a positive response of private consumption following an increase in government consumption. See for instance, Ramey and Shapiro (1998) and Ramey (2011). Other studies instead find mixed response of private consumption following an increase in government consumption (see Hur et al. 2010, for the case of developing Asia)

In standard New Keynesian models with zero lower bound of interest rates, a rise in public consumption induces fiscal multipliers greater than unity (Christiano et al. 2011)

In a far from an exhaustive list, other existing studies such as Coenen and Straub (2005), Forni et al. (2009), and Hagedorn et al. (2019) extend Galí et al. (2007) to include other mechanisms to generate a positive consumption multiplier. The fraction of non-Ricardian household in these studies has been set between 0.2\(-\)0.5. Recently, however, Havranek and Sokolova (2020) find that the fraction of non-Ricardian household in the data is small (i.e., 0.11) and therefore, implies little evidence of deviations from consumption smoothing. Other studies such as Davig and Leeper (2011) and Zubairy (2014) explore other channels (i.e., regime-dependent multipliers and deep habits, respectively) away from the one proposed by Galí et al. (2007) to generate a positive multiplier. Other studies such as Canova and Pappa (2011) investigate the theoretical conditions for effectiveness of government consumption expenditure expansions.

It is important to mention that the presence of this channel does not discount the other channels discussed in the literature such as the presence in incomplete markets (Hagedorn et al. 2019), heterogeneous agents (e.g., Achdou et al. 2017; Galí et al. 2007; Hagedorn et al. 2019), deep habits (e.g., Zubairy 2014), and regim e-switching policy (e.g., Davig and Leeper 2011). The marginal utility channel complements these other channels in expanding our understanding on the size and sign of the government consumption multiplier.

The model in this paper is similar to Bouakez and Rebei (2007); however, we leave the presence of habits out as we are not after the hump-shaped response of private consumption. Habits are explored in Bouakez and Rebei (2007).

The first-order conditions for private and public consumption from the optimization problem are \(\partial U_{t}/\partial C_{t} = \epsilon _{t}\lambda C_{t}^{-1/\theta } C_{e}^{1/\theta }u' \) and \(\partial U_{t}/\partial G_{t} = \nu _{t}(1-\lambda ) G_{t}^{-1/\theta } C_{e}^{1/\theta }u' \), respectively.

Alternatively, one can identify \(\theta \) if one has access to a valid and informative set of instruments, which is naturally challenging to come by. Specifically, it is challenging, and in some cases difficult, to find adequate and appropriate instruments using macroeconomic data is challenging because of complicated interrelationships (Temple 1999)

It is also worth noting that studies such as Amano and Wirjanto (1998), Kwan (2009) and Dawood and Francois (2018) do not account for possible change in estimation results depending on which variable is selected as the regressand.

I use the ‘xtwest’ command by Persyn and Westerlund (2008) in Stata for this exercise.

See Holly et al. (2010) for details.

Note that a small RMSE generally implies our model is good at predicting the observed data, whereas if RMSE is large, this generally means our model is relatively fails to account for important features underlying our data.

See also Eberhardt and Presbitero (2015) for additional discussion on the selection of the lag length for the cross-sectional averages.

For the case where the price ratio is used as the regressand, the IES is given by \(\theta = \frac{1}{\beta }\), where \(\beta \) is the coefficient estimate.

We use the Stata command xtmg to implement the Common Correlated Effects Mean Group estimator (see, Eberhardt 2012).

We are grateful to one of our anonymous referees for this suggestion.

The panel group-mean estimator (\(\theta ^{M}\)) is computed as \({\hat{\theta }}^{M} = \frac{1}{N} \sum _{i = 1}^{N} \theta _{i}\), where \(\theta ^{i}\) is the country-specific estimate for the ith country in the panel and \(N= 17\) is the number of countries in the panel.

Abrigo MR, Love I (2016) Estimation of panel vector autoregression in Stata. Stata J 16:778–804

Achdou Y, Han J, Lasry J-M, Lions P-L, Moll B (2017) Income and wealth distribution in macroeconomics: a continuous-time approach, working paper 23732, National Bureau of Economic Research

Amano RA, Wirjanto TS (1997) Intratemporal substitution and government spending. Rev Econ Stat 79:605–609

Amano RA, Wirjanto TS (1998) Government expenditures and the permanent-income model. Rev Econ Dyn 1:719–730

Amendola A, Di Serio M, Fragetta M, Melina G (2020) The Euro-area government spending multiplier at the effective lower bound, Euro Econ Rev, 103480

Baltagi BH, Bresson G, Pirotte A (2008) To pool or not to pool? in Econom Panel Data, Springer, 517–546

Baltagi BH, Griffin JM (1997) Pooled estimators vs. their heterogeneous counterparts in the context of dynamic demand for gasoline. J Econom 77:303–327

Baltagi BH, Pesaran MH (2007) Heterogeneity and cross section dependence in panel data models: theory and applications introduction. J Appl Economet 22:229–232

Bandeira G, Pappa E, Sajedi R, Vella E (2018) Fiscal consolidation in a low-inflation environment: pay cuts versus lost jobs. Int J Cent Bank 14:7–52

Banerjee A, Carrion-i Silvestre JL (2017) Testing for panel cointegration using common correlated effects estimators. J Time Ser Anal 38:610–636

Barrell R, Holland D, Hurst I (2013) Fiscal multipliers and prospects for consolidation. OECD J: Econom Stud 2012:71–102

Baxter M, King RG (1993) Fiscal policy in general equilibrium, Am Econom Rev, 315–334

Boehm CE (2019) Government consumption and investment: does the composition of purchases affect the multiplier? J Monet Econom

Bond S, Leblebiciooǧlu A, Schiantarelli F (2010) Capital accumulation and growth: a new look at the empirical evidence. J Appl Economet 25:1073–1099

Bouakez H, Rebei N (2007) Why does private consumption rise after a government spending shock? Can J Econom/Revue Canadienne d’économique 40:954–979

Breitung J (2000) The local power of some unit root tests for panel data, in Advances in econometrics, Vol. 15: Nonstationary Panels, Panel Cointegration, and Dynamic Panels, ed. by B. H. Baltagi, Amsterdam: JAI Press, 161–178

Brown A, Wells G (2008) Substitution between public and private consumption in Australian states, in Australasian meeting of the econometric society (ESAM08), 1–18

Canova F, Pappa E (2011) Fiscal policy, pricing frictions and monetary accommodation. Econom Policy 26:555–598

Christiano L, Eichenbaum M, Rebelo S (2011) When is the government spending multiplier large? J Polit Econ 119:78–121

Chudik A, Mohaddes K, Pesaran MH, Raissi M (2016): Long-run effects in large heterogeneous panel data models with cross-sectionally correlated errors, in Essays in honor of Aman Ullah, Emerald Group Publishing Limited

Chudik A, Mohaddes K, Pesaran MH, Raissi M (2017) Is there a debt-threshold effect on output growth? Rev Econ Stat 99:135–150

Chudik A, Mohaddes K, Pesaran MH, Raissi M et al (2013) Debt, inflation and growth: robust estimation of long-run effects in dynamic panel data models. Faculty of Economics, University of Cambridge, Tech. rep

Coenen G, Straub R (2005) Does government spending crowd in private consumption? Theory and empirical evidence for the euro area. Int Finan 8:435–470

Davig T, Leeper EM (2011) Monetary-fiscal policy interactions and fiscal stimulus. Eur Econ Rev 55:211–227

Dawood TC, Francois JN (2018) Substitution between private and government consumption in African economies. Econ Model 73:129–139

De Hoyos RE, Sarafidis V (2006) Testing for cross-sectional dependence in panel-data models. Stand Genomic Sci 6:482–496

Dumitrescu E-I, Hurlin C (2012) Testing for Granger non-causality in heterogeneous panels. Econ Model 29:1450–1460

Eberhardt M (2012) Estimating panel time-series models with heterogeneous slopes. Stand Genomic Sci 12:61–71

Eberhardt M, Presbitero AF (2015) Public debt and growth: heterogeneity and non-linearity. J Int Econ 97:45–58

Eberhardt M, Teal F (2013) Structural change and cross-country growth empirics. World Bank Econom Rev 27:229–271

Eberhardt M, Teal F (2020) The magnitude of the task ahead: macro implications of heterogeneous technology. Rev Income Wealth 66:334–360

Evans P, Karras G (1996) Private and government consumption with liquidity constraints. J Int Money Financ 15:255–266

Fève P, Matheron J, Sahuc J-G (2013) A pitfall with estimated DSGE-based government spending multipliers. Am Econ J Macroecon 5:141–178

Fiorito R, Kollintzas T (2004) Public goods, merit goods, and the relation between private and government consumption. Eur Econ Rev 48:1367–1398

Forni L, Monteforte L, Sessa L (2009) The general equilibrium effects of fiscal policy: estimates for the euro area. J Public Econ 93:559–585

Francois JN, Keinsley A (2019) The long-run relationship between public consumption and output in developing countries: evidence from panel data. Econ Lett 174:96–99

Galí J, López-Salido JD, Vallés J (2007) Understanding the effects of government spending on consumption. J Eur Econ Assoc 5:227–270

Ganelli G, Tervala J (2009) Can government spending increase private consumption? The role of complementarity. Econom Lett 103:5–7

Granger C (1988) Aggregation of time series variables-a survey. Tech. rep, Federal Reserve Bank of Minneapolis

Hagedorn M, Manovskii I, Mitman K (2019) The Fiscal Multiplier, Working Paper 25571, National Bureau of Economic Research

Havránek T (2015) Measuring intertemporal substitution: the importance of method choices and selective reporting. J Eur Econ Assoc 13:1180–1204

Havranek T, Sokolova A (2020) Do consumers really follow a rule of thumb? Three thousand estimates from 144 studies say probably not. Rev Econom Dynam 35:97–122

Herzer D, Grimm M (2012) Does foreign aid increase private investment? Evidence from panel cointegration. Appl Econom 44:2537–2550

Herzer D, Morrissey O (2013) Foreign aid and domestic output in the long run. Rev World Econ 149:723–748

Ho T-W (2001) The government spending and private consumption: a panel cointegration analysis. Int Rev Econom Finan 10:95–108

Holly S, Pesaran MH, Yamagata T (2010) A spatio-temporal model of house prices in the USA. J Econom 158:160–173

Holtz-Eakin D, Newey W, Rosen HS (1988) Estimating vector autoregressions with panel data, Econom J Econom Soc, 1371–1395

Hsiao C (2007) Panel data analysis-advantages and challenges. TEST 16:1–22

Hur S-K, Mallick S, Park D (2010) Fiscal policy and crowding out in developing Asia, Asian development bank economics working paper

Ilzetzki E, Mendoza EG, Végh CA (2013) How big (small?) are fiscal multipliers? J Monet Econ 60:239–254

Im KS, Pesaran MH, Shin Y (2003) Testing for unit roots in heterogeneous panels. J Econom 115:53–74

Jalles JT, Karras G (2021) Private and public consumption: substitutes or complements? Oxford economic papers

Jha S, Mallick SK, Park D, Quising PF (2014) Effectiveness of countercyclical fiscal policy: evidence from developing Asia. J Macroecon 40:82–98

Kao C (1999) Spurious regression and residual-based tests for cointegration in panel data. J Econom 90:1–44

Kao C, Chiang MH (2000) On the estimation and inference of a cointegrated regression in panel data, in Nonstationary Panels, Panel Cointegration, and Dynamic Panels, JAI Press, 179–222

Karras G (1994) Government spending and private consumption: some international evidence. J Money Credit Bank 26:9–22

Kilponen J, Pisani M, Schmidt S, Corbo V, Hledik T, Hollmayr J, Hurtado S, Júlio P, Kulikov D, Lemoine M et al (2019) Comparing Fiscal Consolidation Multipliers across Models in Europe. Int J Cent Bank 15:285–320

Kormendi RC (1983) Government debt, government spending, and private sector behavior. Am Econ Rev 73:994–1010

Kwan YK (2009) The direct substitution between government and private consumption in East Asia. Fiscal Policy Manag East Asia 16:45

Laumer S (2020) Government spending and heterogeneous consumption dynamics, J Econom Dynam Control, 103868

Leeper EM, Traum N, Walker TB (2017) Clearing up the fiscal multiplier morass. Am Econom Rev 107:2409–54

Levin A, Lin C-F, Chu C-SJ (2002) Unit root tests in panel data: asymptotic and finite-sample properties. J Econom 108:1–24

Maddala GS, Wu S (1999) A comparative study of unit root tests with panel data and a new simple test. Oxford Bull Econ Stat 61:631–652

Mark NC, Sul D (2003) Cointegration vector estimation by panel DOLS and long-run money demand. Oxford Bull Econ Stat 65:655–680

Mundlak Y, Butzer R, Larson DF (2008) Heterogeneous technology and panel data: the case of the agricultural production function, The World Bank

Neal T (2014) Panel cointegration analysis with xtpedroni. Stand Genomic Sci 14:684–692

Ng S, Perron P (1997) Estimation and inference in nearly unbalanced nearly cointegrated systems. J Econom 79:53–81

Ogaki M, Ostry JD, Reinhart CM (1996) Saving behavior in low-and middle-income developing countries a comparison. IMF Staff Pap 43:38–71

Pedroni P (1999) Critical values for cointegration tests in heterogeneous panels with multiple regressors. Oxford Bull Econ Stat 61:653–670

Pedroni P (2001a) Fully modified OLS for heterogeneous cointegrated panels, in Nonstationary panels, panel cointegration, and dynamic panels, Emerald Group Publishing Limited, 93–130

Pedroni P (2001) Purchasing power parity tests in cointegrated panels. Rev Econ Stat 83:727–731

Pedroni P (2019) Panel cointegration techniques and open challenges, In: Panel data econometrics, Elsevier, 251–287

Persyn D, Westerlund J (2008) Error-correction-based cointegration tests for panel data. Stand Genomic Sci 8:232–241

Pesaran MH (2003) Aggregation of linear dynamic models: an application to life-cycle consumption models under habit formation. Econ Model 20:383–415

Pesaran MH (2006) Estimation and inference in large heterogeneous panels with a multifactor error structure. Econometrica 74:967–1012

Pesaran MH (2007) A simple panel unit root test in the presence of cross-section dependence. J Appl Economet 22:265–312

Pesaran MH (2015) Testing weak cross-sectional dependence in large panels. Economet Rev 34:1089–1117

Ramey VA (2011) Identifying government spending shocks: it’s all in the timing. Q J Econ 126:1–50

Ramey VA, Shapiro MD (1998) Costly capital reallocation and the effects of government spending. Carn-Roch Conf Ser Public Policy 48:145–194

Sarafidis V, Wansbeek T (2012) Cross-sectional dependence in panel data analysis. Economet Rev 31:483–531

Sarafidis V, Yamagata T, Robertson D (2009) A test of cross section dependence for a linear dynamic panel model with regressors. J Econom 148:149–161

Temple J (1999) The new growth evidence. J Econom Literat 37:112–156

Westerlund J (2007) Testing for error correction in panel data. Oxford Bull Econ Stat 69:709–748

Zubairy S (2014) On fiscal multipliers: estimates from a medium scale DSGE model. Int Econom Rev 55:169–195

Titel: Intratemporal elasticity of substitution between private and public consumption: new evidence and implications
verfasst von: John Nana Francois
Andrew Keinsley
Publikationsdatum: 07.04.2023
Verlag: Springer Berlin Heidelberg
Erschienen in: Empirical Economics / Ausgabe 4/2023
Print ISSN: 0377-7332
Elektronische ISSN: 1435-8921
DOI: https://doi.org/10.1007/s00181-023-02387-w

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