The Economic Journal, 121 (February), F4–F32. Doi: 10.1111/j.1468-0297.2010.02413.x. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. Published by Blackwell Publishing, 9600 Garsington Road, Oxford OX4 2DQ, UK and 350 Main Street, Malden, MA 02148, USA. THE EFFECTS OF GOVERNMENT PURCHASES SHOCKS: REVIEW AND ESTIMATES FOR THE EU* Roel Beetsma and Massimo Giuliodori In this article, we review the theoretical consequences of government purchases shocks for both closed and open economies, followed by a discussion of the empirical literature. Next, we provide our own estimates for the EU countries. We find that an increase in government purchases raises output, consumption and investment and reduces the trade balance. However, the stimulating effect is weaker and the trade balance reduction is larger for the more open EU economies, consistent with larger leakage effects. Further, we show that government purchases shocks in large EU economies have non-negligible consequences for economic activity in the main trading partners. Until the early 1980s fiscal policy was widely regarded as a useful tool for economic stabilisation. In response to the oil shocks of the 1970s many countries relied not only on monetary accommodation but also fiscal expansion. However, those active fiscal policies did not prevent widespread increases in unemployment, while at the same time they resulted in high deficits and rising public debts. This demonstrated ineffectiveness of fiscal policies made many economists sceptical about the usefulness of fiscal policy as a tool for macroeconomic stabilisation. Nevertheless, politicians have continued to view an active fiscal policy as a useful instrument for solving their economic problems. Quite recently, though without success, Japan applied large fiscal expansions in an attempt to escape its liquidity trap. Further, after they secured membership of the Euro-area, a number of countries relaxed fiscal policy. Since the beginning of the current crisis, the US have engaged in unprecedented fiscal expansion, much of it associated with the rescue of the financial sector but also a large share spent to support the ‘real economy’. In November 2008, the EU presented its European Economic Recovery Plan (EERP) aimed at a cumulative (over the crisis period) discretionary fiscal stimulus of about 1.5% of the EU GDP, with 1.2% of GDP coming directly from the Member States. This article starts by reviewing the theoretical and empirical consequences of an increase in government purchases in closed and open economies. We focus mostly on the short to medium-run consequences of fiscal expansions, because the main question we are interested in is to what extent discretionary fiscal policy is able to stabilise the business cycle.1 We also present our own estimates for the EU economies of responses to temporary government purchases shocks, paying specific attention to the behaviour * Corresponding author: Roel Beetsma, University of Amsterdam, CEPR, CESifo and Tinbergen Institute, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands. Email: R.M.W.J.Beetsma@uva.nl. We are grateful to Luca Onorante and two anonymous referees for their helpful comments on an earlier version of this article. 1 In this respect, our article complements Gemmell et al. (2010) and Heady et al. (2010) who study the long-run effects of fiscal policy, while, moreover, they focus on the long-run economic consequences of the structure of the tax-spending system. [ F4 ] [ F E B R U A R Y 2011 ] GOVERNMENT PURCHASES IN THE EU F5 of the public budget balance, the trade balance, the components of GDP, the role of trade openness and cross-border spill-overs.2 We conduct an elaborate investigation of the potential presence of anticipation effects. However, we fail to find any evidence of such effects. The results of our estimation are consistent with the neo-Keynesian framework. An increase in government spending raises output, with a multiplier exceeding unity on average, and consumption and investment, and it reduces the public balance and the trade balance. The real effective exchange rate appreciates with some lag and also the long-term interest rate increases with some lag. Moreover, our findings suggest that the stimulating effect is smaller for more open economies, because a substantial part of it leaks away. We also find evidence of spill-overs across countries via the trade channel. This strengthens the rationale behind the concerted fiscal expansion envisaged in the EERP. While the benefits from unilateral expansion may be too small due to leakage to other countries, a multilateral expansion forces countries to internalise the crossborder effects of their own efforts and may benefit all of them, in particular in times of deep recession like we have experienced in the past two years. The remainder of this article is structured as follows. In Section 1 we briefly discuss the theoretical consequences of a discretionary increase in government purchases in closed and open economies. Section 2 summarises recent empirical evidence. In Section 3 we present our own baseline responses to government purchases shocks for the EU, while in Section 4 we explore the robustness of our baseline results. In Section 5, we investigate the effects of government purchases shocks on the components of GDP, while in Section 6 we estimate the strength of the cross-border spill-overs of such shocks. Section 7 concludes the main text. An online Appendix provides details on the handling of the data and some further results (http://www1.fee.uva.nl/toe/ beetsma.shtm). 1. Government Purchases Shocks: A Brief Theory Review We are mostly interested in the short to medium-run effects of shocks to government purchases on output, consumption and investment. In analysing those effects, it may be useful to distinguish between closed and open economies. 1.1. Fiscal Expansions in Closed Economies Baxter and King (1993) conduct a number of fiscal policy experiments in a standard neo-classical model. Taxes are lump sum. Hence, for a given path of government purchases the time profile of tax revenues does not matter. Consider an increase (temporary or permanent) in government consumption. The discounted value of future tax payments rises, which generates a negative wealth effect and induces individuals to reduce both private consumption and leisure. The labour supply increases, hence real wages fall and total output expands. Moreover, the rise in employment raises 2 In contrast to the theoretical review Section, in which for expositional purposes, we concentrate purely on the effect of the fiscal expansion, in our regression analysis in order to reduce the risk of omitted variable bias, we account for the reaction of monetary policy via a change in the interest rate. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F6 THE ECONOMIC JOURNAL [FEBRUARY the (marginal) productivity of capital and thereby the real interest rate, and induces more private investment. A boost to public investment produces additional positive effects on the economy by raising the productivity of capital and labour. Private consumption may then even increase, although with some lag. Burnside et al. (2004) introduce a number of features into the neo-classical model to improve the replication of estimated responses to a government purchases shock. In particular, they assume that there are costs to changing the capital stock, while there is ‘habit persistence’ in consumption in the sense that individuals want to maintain a given consumption level. This way, changes in employment and investment exhibit a more drawn out pattern after the policy shock. The most distinguishing feature of the neo-classical model is that it tends to predict a fall in private consumption following an increase in government purchases, while a large part of the empirical literature (discussed below) finds the opposite effect.3 The main obstacle in reconciling theory with this empirical observation is the rightward shift of the labour supply curve, which for a given labour demand curve implies a lower wage and, hence, less consumption. Hence, to generate a positive effect on consumption it is necessary (though not always sufficient) to have a mechanism that also shifts the labour demand curve to the right. An example is found in Devereux et al. (1996), where higher government spending raises the equilibrium number of firms in intermediate goods sectors characterised by increasing returns to specialisation. The productivity of all firms in the sector rises and the resulting outward shift in the labour demand may dominate the increase in the labour supply, hence produce a higher real wage and an increase in consumption. Ravn et al. (2006) introduce ‘deep habits’ into a model with monopolistic competition in goods production. ‘Deep habits’ refer to habit formation about the amount of consumption of individual goods (rather than about aggregate consumption as is standard under the assumption of habit persistence). The model implies that demand for a specific good is composed of a price elastic component (as in standard monopolistic competition models) and an inelastic component that does not react to price changes. An increase in aggregate demand raises the weight of the elastic component, inducing producers to lower their prices. An increase in government consumption produces the standard negative wealth effect on the one hand, resulting in a higher labour supply. On the other hand, the higher aggregate demand induces producers to lower goods prices, thereby also generating more demand from private agents. The overall higher demand for goods stimulates the demand for labour, which exerts a positive effect on the real wage that may dominate the downward wage pressure from the higher labour supply. An alternative route to generating a positive consumption response to a government purchases increase is to use a New-Keynesian framework with monopolistic competition and nominal rigidities. These could take the form of pre-set prices for products. Such a framework has originally been used to study the effects of monetary policy shocks, but recently it has also become a vehicle for analysing fiscal policy (Beetsma and Jensen, 3 There are ways, though, to reconcile the neo-classical model with a positive consumption response to a government purchases impulse. Linnemann (2006) shows that when consumption and employment are complementary in utility, such an impulse may generate a positive consumption response. The wealth effect stimulates employment and, due to the complementarity, consumption is also stimulated. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] F7 GOVERNMENT PURCHASES IN THE EU 2005). As before, an increase in government purchases generates a negative wealth effect implying an increase in the labour supply. However, with sticky prices and because the price of output exceeds the marginal cost under monopolistic competition, an increase in the demand for goods will be met with an increase in the supply of output. Hence, the demand for labour increases, which has a positive effect on the real wage rate, ceteris paribus. However, even if the overall effect on the real wage is positive, this does not guarantee a (substantial) positive effect on consumption. The reason is that consumers have an incentive to save at least part of the higher real wage for the future. Owing to the rise in (current and future) taxes, consumption may still fall. Hence, an additional imperfection is needed to generate higher consumption. Therefore, Galı́ et al. (2007) assume that there is a group of ‘rule-of-thumb’ consumers who consume their entire disposable income (income minus taxes) and, thus, do not save. These consumers spend the entire increase in their real wage immediately. Provided that this group of consumers is sufficiently large, the net effect on consumption is positive. To summarise, Table 1 provides a systematic overview of the macro-economic effects of an increase in government purchases in different settings. 1.2. Fiscal Expansions in Open Economies With an open-economy framework, we can also explore the consequences of a government purchases shock for the trade balance and the real exchange rate. The discussed mechanisms produced by the neo-classical and New-Keynesian frameworks remain present. However, also other factors emerge as relevant for the macro-economic responses to the shock. In particular, we discuss below the roles of international asset market completeness, trade openness of the economy and the substitutability of products across borders. Consider an extension, as in Baxter (1995), of Baxter and King’s (1993) neo-classical model to a setting of two open economies, Home and Foreign. The countries produce perfectly substitutable goods. With complete international asset markets, risks are perfectly shared between the two countries. A government purchases impulse in Home generates identical responses of output, consumption and investment in the two countries. The Home trade balance deteriorates as a net effect of lower public saving and higher private saving and investment. With incomplete international asset markets in which only a risk-free bond is traded, the wealth effect is borne by Home. While the Table 1 Predicted Effects of a Government Purchases Increase in a Closed Economy Neo-classical Deep habits NK – nominal rigidities only NK – rule of thumb Output Consumption Real wage Labour supply Labour demand Employment " " " " # " # " # " " " " " " " 0 " " " " " " " Notes. This Table is based on Pappa (2006). ‘NK’ = New-Keynesian. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F8 THE ECONOMIC JOURNAL [FEBRUARY signs of the responses are unaltered, Home labour input and production rise by more and consumption and the real wage fall by more than before, while the opposite is the case in Foreign. Corsetti and Müller (2008) assume that Home and Foreign products are imperfectly substitutable, implying that the composition of government purchases becomes important. Government purchases fall entirely on domestic products, which is a reasonable assumption as they are mostly made up of civil servants’ salaries, while public procurements tend to be biased towards domestic firms. Because the spending impulse falls on Home products, Home’s real exchange rate appreciates. Now, the standard risk-sharing condition under complete international asset markets implies that the fall of Home consumption exceeds that of Foreign.4 More openness stems the fall of consumption, because it dampens the increase in the real interest rate (being the price of a unit of today’s consumption in terms of future consumption). Intuitively, the real exchange rate appreciation lowers the price of today’s consumption relative to what it will be in the future when the real exchange rate has returned to its original value. This dampening effect is stronger, the larger is the consumption share on foreign goods (i.e. the more open is the economy). The more moderate rise in the real interest rate weakens its negative effect on the investment response. Obviously, the positive effect of openness on consumption and investment implies a larger trade balance deterioration. In a related framework, Müller (2008) shows that the real exchange rate appreciation causes an ‘expenditure switching effect’ with Home and Foreign consumers switching towards Foreign products. The switching effect is larger the higher is the elasticity of substitution between Home and Foreign products. The increase in output will be correspondingly smaller and the fall in the trade balance will be larger. 2. Government Purchases Shocks: A Brief Review of the Empirical Literature The main obstacle in empirical fiscal policy analysis is to identify exogenous and unexpected fiscal events. In this regard, the literature has followed two major approaches. One is the so-called ‘narrative’ or ‘dummy’ methodology. Ramey and Shapiro (1998) and Ramey (forthcoming) identify large exogenous increases in defence spending and analyse their effects on the economy.5 However, Perotti (2007) argues that, while this approach is appealing and war episodes are plausibly exogenous, these are not ‘normal’ events and, therefore, they cannot be safely used to draw inference on the effects of fiscal policy on economic activity under non-exceptional circumstances. An alternative route might be to follow Romer and Romer (2010), who use (real-time) information from the official US budget documents to classify exogenous tax changes. The other major approach is to set up a structural vector autoregression (SVAR) model. The model explains a system of macroeconomic variables by its lags and exogenous shocks to the variables in the system. The ‘trick’ is to find an appropriate set 4 The condition is (after some normalisation), uCF =uCH ¼ RER, where the left-hand side is the ratio of the marginal utilities of Foreign (F) and Home (H) consumption, while the right-hand side is the real exchange rate, defined such that an increase means a depreciation of Home real exchange rate. 5 Edelberg et al. (1999) and Burnside et al. (2004) are closely-related follow ups of the work by Ramey and Shapiro (1998). 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F9 of restrictions among the variables, for example, motivated by economic theory or institutional features, to extract the exogenous shocks from the data and estimate the parameters. Because the estimates that we show below build on SVAR models, we shall limit our further discussion of the literature to this specific approach.6 2.1. Closed-Economy Models Applying an SVAR approach to the US after World War II, Blanchard and Perotti (2002) find that an increase in government purchases stimulates economic activity with a peak multiplier that tends to be close to unity, that it boosts consumption, while it has a negative effect on investment. Their main identifying assumption is that government purchases do not contemporaneously react to output within the same quarter. The authors also exploit detailed institutional information about the tax system, as well as information on the elasticities of taxes and transfers to income. Fatás and Mihov (2001) essentially confirm the results of Blanchard and Perotti (2002), except that they find a (lagged) positive effect on investment. Auerbach and Gorodnichenko (2010) employ the Blanchard and Perotti (2002) identification scheme to estimate regime-switching SVARs that allow output multipliers to differ according to the business cycle situation. Their average estimate of the peak in the multiplier is again close to unity. Mountford and Uhlig (2009), who identify shocks by imposing theory-motivated signs on the impulse responses, find only a weak positive effect on output and consumption, while investment is crowded out. Not all work focuses solely on the US. Burriel et al. (2010) follow the methodology of Blanchard and Perotti (2002) in estimating impulse responses of government purchases for the aggregate euro area over the period 1981–2007 and comparing those with the corresponding responses for the US. The output multipliers are similar and typical below unity. Kirchner et al. (2010) also estimate VARs for the aggregate euro area over roughly the same period but allow the effects of the government purchases impulse to be time varying. They find that the short-run effectiveness of the impulse in stimulating the economy increased until the end of the 1980s, after which it declined again. 2.2. Open-Economy Models Somewhat surprisingly, Kim and Roubini (2008) find that for the US an increase in the budget deficit produces a short-run improvement of the current account, regardless of whether the budgetary expansion is caused by an increase in public spending or a reduction in taxes. They explain this finding by arguing that the direct effect of the expansion on the current account is dominated by the extra private saving (to pay for the higher future taxes) and the rise in the interest rate, which depresses investment. 6 Favero and Giavazzi (2009) try to reconcile the narrative and SVAR methods and argue that the differences in impulse responses under these approaches are the result of the more limited information employed under the narrative approach, in particular the neglect of the inter-temporal government budget constraint. They show that feeding the exogenous shocks identified by Romer and Romer (2010) directly into the SVAR yields responses comparable to those found by others under the ‘standard’ SVAR approach. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F10 THE ECONOMIC JOURNAL [FEBRUARY There is related work for other countries as well. Lane and Perotti (1998) link the trade balance and its components to the different components of the public budget for a large set of OECD countries over the period 1960–95. They find that the composition of a change in fiscal policy and the exchange rate regime both matter for the effects on the external account. In particular, higher wage government consumption produces a fall in exports and a deterioration of the trade balance, especially under flexible exchange rates.7 Imports are also negatively affected, or unaffected, depending on the regression specification. Related analysis by Lane and Perotti (2003), also for the OECD, essentially confirms these results. Moreover, they find that an increase in non-wage government consumption has only a small effect on the traded sector. Monacelli and Perotti (2006) and Ravn et al. (2007) estimate impulse responses to an increase in government purchases for Australia, Canada, the UK and the United States. Estimations by the former are on a country-by-country basis, while the latter use a panel VAR. The sample periods are roughly the same. Both studies show that an increase in government purchases raises output and consumption but leads to a deterioration of the trade balance. As far as the consequences for the real exchange rate are concerned, these articles find that it depreciates, while Bénétrix and Lane (2010) for a sample of eleven EMU countries estimate an appreciation of the real effective exchange rate after a positive government purchases shock.8 However, an application of their methodology to the four-country sample of Monacelli and Perotti (2006) and Ravn et al. (2007) does indeed confirm the appreciation and indicates that the difference in results for the two samples may be traced to the exchange rate regime and monetary policy.9 While the other group of countries maintains flexible exchange rates, the EMU group has been characterised by (quasi) fixed exchange rates over recent decades. 3. Effects of Government Purchases Shocks on GDP in EU Countries This Section provides our estimates of the effect of government purchases shocks on EU economies. We follow the SVAR methods, because alternative approaches are not (practically) feasible. First, to follow the Ramey and Shapiro (1998) approach, we would need a panel of large war-related movements in defence spending. There are very few, if any, such events in our sample. Following an approach along the lines of Romer and Romer (2010) is not practically possible, because a comparable dataset based on official documents for discretionary spending in a large panel of European countries does not exist. 7 With a fixed exchange rate regime the tendency for the real exchange rate to appreciate will be suppressed, hence the trade balance is better protected against the shock. 8 While the work of Bénétrix and Lane (2010) is related to ours, this article focuses more closely on the consequences of government purchases shocks for output, the public budget and the (components of the) trade balance. Moreover, in this article we explore explicitly the presence of anticipation effects, various sample splits (in particular, between closed and open economies) and the role of direct fiscal spill-overs among the EU countries. 9 This is also confirmed in a broader study by Corsetti et al. (2010) for a panel of OECD countries. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F11 3.1. Methodology Before turning to the actual estimation, some discussion about the methodology is warranted. In the absence of any ‘active’ policy intervention, the public budget moves automatically with the economic cycle. Government transfers, such as unemployment benefits, increase as the economy slows down and unemployment rises, while at the same time tax revenues on labour, capital income and consumption fall. The opposite happens when the business cycle is improving. These automatic movements of the government budget resulting from the business cycle are referred to as the cyclical component of the budget. The structural component of the public budget (or the fiscal stance) is obtained by subtracting the automatic cyclical component from the actual budget balance. However, this structural component may also be systematically linked to the economic cycle. For example, the government may reduce tax rates whenever activity falls below potential. The component could also be systematically linked to other variables such as the stock of outstanding public debt or inflation. These systematic responses will be referred to as the endogenous structural component. The other part of the structural budget is called the exogenous component. Examples are an increase in public purchases to finance a war or a politically-motivated increase in transfers to the population prior to an election. We extend the analysis in Beetsma et al. (2008) and explore the consequences of unexpected changes in government purchases for domestic activity, its components, the public budget and the external balance for a sample and sub-samples of 14 EU countries over the period 1970–2004. This sample period avoids the influence on our analysis of outliers associated with the extreme events during the recent crisis. We also investigate the potential spill-overs on activity in the EU trading partners. The sample countries are Austria, Belgium, Denmark, Finland, France, Ireland, Italy, Germany, Greece, the Netherlands, Portugal, Spain, Sweden and the United Kingdom. The data sources are the OECD Economic Outlook (EO), the Main Economic Indicators (MEI) of the OECD Statistical Compendium and the IMF’s Direction of Trade Statistics (DOTS). A more detailed description of the sample and the data sources is found in the online Appendix. Following Beetsma et al. (2008) and Bénétrix and Lane (2010), but in contrast to some related literature, we use annual instead of quarterly data. This has a number of advantages. First, the shocks we uncover with annual data may be closer to the actual shocks, because new fiscal impulses do not usually take place at the quarterly frequency but more likely in the new budget and possibly in mid-year budgetary revisions. In addition, the effects of the potential anticipation of fiscal policy changes should be less relevant, because the uncovered shocks are more likely to be truly unanticipated. After all, a given policy shock is less likely to be anticipated one year before it actually takes place than one quarter before it actually takes place. (The presence of anticipation effects is formally tested in Section 4 (robustness) below.) Further, there is less need to be concerned with the details of the institutional setting. For example, if tax revenues are systematically larger in one quarter than in another quarter (this is, in particular, the case for corporate tax revenues), then a model based on quarterly data would take this feature into account. In addition, with quarterly data, it is more likely that decisions on purchases take place in another 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F12 THE ECONOMIC JOURNAL [FEBRUARY quarter than when the actual outlays are made. This raises the chance that the identified shocks are wrongly dated. Finally, with annual data potential seasonality effects are absent from the data. A drawback of using annual data is that there are fewer observations available.10 Hence, to obtain more precise estimates, we estimate the VAR model in a panel format (that is, we pool observations for a number of countries over a given sample period). The new disadvantage then is that one needs to impose cross-country homogeneity on the relationships among the variables. A number of econometric adjustments are made to deal with this objection. In particular, we include country-specific constant terms and country-specific linear time trends into the regression. Moreover, we include yearspecific effects to eliminate any cross-country contemporaneous residual correlation. All these features reduce the amount of heterogeneity. In addition, the fact that EU-14 countries share many similarities is conducive to reducing heterogeneity. Nevertheless, we will also investigate whether the effects of an increase in government purchases depend on other factors, such as the degree of openness. 3.2. Baseline Impulse Responses The set of endogenous variables in the baseline structural VAR consists of government purchases g (the sum of government consumption and government investment), cyclically-adjusted net taxes (with country-specific cyclical adjustment) nt, output (GDP) y, the long-run nominal interest rate irl and the real effective exchange rate reer.11 An increase in this latter variable amounts to a real domestic depreciation. All the variables are real and in natural logarithms, except for the long-run interest rate, which is in %. The variables are entered into the vector [g, nt, y, irl, reer]0 and identification is based on a lower-triangular Cholesky decomposition according to this particular ordering. Hence, the main identifying assumption is that government purchases are not contemporaneously affected by the other variables, in particular not by GDP. This assumption is not obviously satisfied. However, the cyclically-sensitive spending items (in particular, social benefits and other transfers) are included in net taxes, which are then cyclically adjusted. Further, changes in government purchases are usually contained in the budget law for the coming year, while adjustments during that year tend to be of less importance. Below, we test the plausibility of this identification strategy by imposing alternative orderings and non-zero contemporaneous restrictions. Observe that, because we focus on impulse responses to government purchases shocks only, the relative ordering of the other variables does not affect the impulse responses, as these variables are all ordered after government purchases (Christiano et al., 1999). We include cyclically-adjusted net taxes (Alesina et al., 2002) rather than unadjusted net taxes to take account of the cross-country heterogeneity in the response of net taxes to changes in output. If there is such heterogeneity, then not accounting for it may 10 However, even if we wanted to use quarterly data, this would not be possible for the country sample under consideration. Truly (i.e. non-interpolated) quarterly data are only available for a subset of our sample countries. 11 Of each variable we include two lags in the regression model, which is enough to get rid of any serial correlation in the residuals. However, the results are robust to alternative lag lengths. We also check the cross-country correlations in the residuals but in all instances these correlations are close to zero. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F13 12 jeopardise the correct inferences on the dynamics of the VAR. An additional benefit of including cyclically-adjusted net taxes is that we get a direct insight into the reaction of the fiscal authorities to a spending shock, because it is cyclically-adjusted net taxes that are directly under the government’s control. Obviously, since elasticities of net taxes are not directly observable, cyclically-adjusted net taxes are imprecisely observed. Therefore, in Subsection 4.3. we confirm our baseline findings by including unadjusted net taxes into our model. Figure 1 depicts the baseline impulse responses to a 1% of GDP increase in government purchases, while Table 2 provides the outcomes for specific moments after the shock. On impact GDP rises significantly by 1.2%, while it peaks at 1.5% after one year.13 The multiplier is quite large but not out of line with findings by others. Bénétrix and Lane (2010) report a somewhat smaller, though not entirely comparable, response of domestic relative to rest-of-EMU GDP. Cyclically-adjusted net taxes fall on impact, probably because governments try to accommodate the spending impulse with a discretionary reduction in the tax burden in order to further stimulate the economy. However, as expected, unadjusted net taxes (not reported here) increase on impact. From the responses of its constituent variables, we can construct the response for the primary budget. In particular, this response is calculated as 5.0 4.0 3.0 2.0 1.0 0.0 Government Spending (g) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock 2.0 1.0 0.0 –1.0 –2.0 Cyclically Adjusted Net Taxes (nt) 60.0 40.0 20.0 0.0 –20.0 –40.0 0.5 0.0 –0.5 –1.0 –1.5 –2.0 0 1 2 3 4 5 6 7 8 9 10 Years After Shock 2.0 1.5 1.0 0.5 0.0 –0.5 Output (y) 0.5 Long Term Interest Rate (irl) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Real Effective Exchange Rate (reer) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Budget Balance (Constructed) 0.0 –0.5 –1.0 0 1 2 3 4 5 6 7 8 9 10 Years After Shock 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Fig. 1. Baseline Responses After a Government Purchases Shock of 1% of GDP Notes. See note to Table 2. Confidence bands (the area between the dashed lines) are the 5th and the 95th percentiles from Monte Carlo simulations based on 2,000 replications. The solid line gives the median over the replications. 12 The estimated link from output to net taxes will generally differ from the actual link in a specific country, thereby affecting the dynamics of the VAR. 13 Statements about statistical ‘significance’ will always be based on the 10% level. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F14 [FEBRUARY THE ECONOMIC JOURNAL Table 2 Responses to a Government Purchases Increase of 1% of GDP Impact effect After one year After three years After five years (a) Baseline Government purchases Net taxes Output Long-run interest rate Real eff. exchange rate Budget balance ⁄ GDP 4.15* 1.06* 1.17* 1.19 0.23 0.72* 4.42* 0.24 1.50* 2.57 0.43 0.47* 3.19* 0.21 1.19* 19.86 0.81* 0.21* 2.07* 0.13 0.66* 27.81* 0.62 0.18 (b) Baseline without time effects Government purchases Net taxes Output Long-run interest rate Real eff. exchange rate Budget balance ⁄ GDP 4.15* 0.98* 1.12* 6.23 0.33 0.73* 4.37* 0.16 1.48* 12.32 0.65 0.45* 3.05* 0.42 1.17* 26.33 0.91* 0.14 1.96* 0.45 0.49* 45.36* 0.63 0.16 (c) Baseline with quadratic time trends Government purchases 4.15* Net taxes 1.27* Output 1.20* Long-run interest rate 2.55 Real eff. exchange rate 0.27 0.76* Budget balance ⁄ GDP 3.93* 0.48 1.42* 7.06 0.57 0.44* 2.23* 0.40 0.84* 5.73 0.98* 0.26* 1.07* 0.54 0.31 7.64 0.60 0.24* (d) Baseline in first difference – no trends Government purchases 4.15* Net taxes 0.96* Output 1.12* Long-run interest rate 3.11 Real eff. exchange rate 0.14 Budget balance ⁄ GDP 0.73* 4.99* 0.39 1.54* 9.53 0.18 0.62* 5.82* 0.00 1.72* 10.78 0.79 0.66* 5.96* 0.01 1.67* 9.93 0.78 0.72* Notes. The shock is an increase in government purchases equal to 1% of GDP. Further, * denotes statistical significance at the 10% level. The impulse responses are expressed in percentage of the underlying variable, except for the long-run interest rate, which is in basis points, and the budget balance ⁄ GDP ratio, which is in percentage of GDP. The model in first differences displays the cumulative responses. NTtNA Gt =Yt ¼ NT NA =Y N^ Tt þ nY^t Y^t ðG=Y Þ G^t Y^t ; where NT NA, G and Y are, respectively, the anti-logs of nt NA (unadjusted or non-cyclicallyadjusted net taxes (real and in natural logarithm)), g and y, while a hat denotes the percentage deviation from the initial value (the impulse response) and n is the average elasticity of net taxes with respect to real output (calculated in Van den Noord, 2000; and OECD, 2005). Hence, we construct unadjusted net taxes out of cyclically-adjusted net taxes and output, using this elasticity. We evaluate the approximation at the overall sample mean shares of G and NT NA over Y. Clearly, the fiscal impulse leads to a sharp deterioration of the budget balance (0.7% on impact), which shrinks in the following years. As far as the other variables are concerned, the long-term interest rate rises, although with some lag after the shock, most likely as a result of the inflationary pressures (see Subsection 4.1. below) exerted by the expansion of demand. In line with the empirical finding of Bénétrix and Lane (2010) for the euro-area and the theoretical prediction of Corsetti and Müller (2008) and Müller (2008), the real exchange rate appreciates, although the appreciation becomes significant only after three years. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F15 Panel (b) of Table 2 shows the results for the baseline model when we drop the time effects. The impulse responses are qualitatively and quantitatively similar to those reported in panel (a). As a further robustness check, we also estimate the baseline model replacing the country-specific linear time trends with country-specific quadratic time trends (see panel c, Table 2). Again, the impulse responses closely resemble those under the baseline estimation. Only the effect on output dies out slightly faster than under the baseline, while the long-run interest rate is no longer significant after five years. Finally, in panel (d) we report the (cumulative) responses when we estimate the model in first differences.14 The responses are rather similar to those under the baseline. However, the effects are more persistent, because the temporary shock to the change in government purchases produces a permanent shift in its level. This leads to a larger and more persistent effect on output and the budget balance over GDP ratio in the medium to longer run. Yet, the short-run responses of output and the budget balance are very similar to those under the baseline. 4. Robustness Tests 4.1. Testing for Anticipation Effects One of the problems with the use of VAR models to identify fiscal shocks is the so-called foresight or anticipation effect. Leeper et al. (2008) explore its consequences for the VAR analysis of fiscal shocks. In this Subsection we will show that the anticipation problem is unlikely to be relevant for our analysis. More specifically, the recent literature has proposed a number of solutions to this problem. The first is again to follow the narrative approach in identifying fiscal shocks (Ramey, forthcoming; Mertens and Ravn, forthcoming). Recent literature also suggests other solutions to ameliorate anticipation problems within the SVAR methodology. One approach, which is also advocated by Ramey in her criticism of Blanchard and Perotti’s (2002) quarterly VAR for the United States, is to estimate an SVAR with annual data as we do.15 If changes in government purchases are anticipated over only a period of less than one year, then shocks estimated at the annual level can be treated as unanticipated. To test whether the anticipation problem is still relevant in our annual VAR, we run Granger-causality tests as in Ramey (forthcoming). In particular, we test whether realtime fiscal forecasts have any predictive power for the government purchases shocks estimated from our model. In her study for the US, Ramey (forthcoming) uses government spending forecasts from the Survey of Professional Forecasters. However, such information is not available for our EU country sample. Therefore, we use an alternative dataset consisting of real-time one-year ahead forecasts for the budget balance–GDP 14 Panel unit root tests suggest that all the variables in our baseline model are integrated of order one. Therefore, specifying the VAR model in levels is the correct approach if there is at least one co-integration relationship among the variables of the system. Estimating the model in first differences may be the appropriate specification in case there is no co-integration relationship among the variables. However, in a VAR differencing leads to information being thrown away (e.g., the VAR cannot capture a co-integration relationship), whereas this produces almost no gains (Doan, 2006). Despite these drawbacks, we want to test that the two approaches do not lead to substantially different results. 15 In a recent article, Mertens and Ravn (2010) derive a fiscal VAR estimator applicable when spending shocks are anticipated. They apply this estimator to US quarterly data and find that anticipation effects do not overturn existing results from the standard VAR literature. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F16 THE ECONOMIC JOURNAL [FEBRUARY ratio. These data have been produced by the European Commission twice a year since the 1970s.16 We use the Fall forecasts, which are based on official fiscal plans by the individual governments. In fact, using the Fall forecasts, we are stacking the odds against ourselves in favour of the hypothesis that anticipation effects play a role, because, if present, the anticipation of policy changes in period t should be stronger in the autumn of t 1 data than in data produced at an average arbitrary moment in period t 1. Before we test whether the identified government purchases shocks are anticipated, we verify that the forecast for the budget balance–GDP ratio does indeed have predictive power for government purchases and, hence, that it is a potentially relevant variable for capturing the anticipation of government purchases shocks. In particular, we run a fixed-effect panel regression of government purchases g in year t on its own two lags and the balance–ratio forecast produced in year t 1 for year t.17 The coefficient of the latter is estimated significantly with a p-value of 0.007, indicating that our balance–ratio forecast has strong predictive power for g. We then estimate a fixed-effect panel regression of the government purchases shocks identified from the baseline model on two of their own lags and the balance–ratio forecast. This latter variable does not seem to have any predictive content for the government purchases shock (p-value of its coefficient is 0.524). These results are consistent with the hypothesis that the annual innovations in government purchases estimated with our VAR are not anticipated. In order to test this preliminary conclusion further, we follow three alternative routes suggested by the literature for dealing with anticipation effects in the context of quarterly VAR models. Yang (2007) argues that including ‘forward-looking’ variables in the VAR helps to assuage the foresight problem, because those variables capture information about the future effects of fiscal shocks.18 In particular, she finds that by augmenting a standard VAR model a la Blanchard and Perotti (2002) with short-term interest rates and prices, the response of output to tax shocks weakens substantially. This provides informal and indirect evidence that these additional variables capture agents’ foreknowledge of tax shocks. Following this approach, we extend our baseline model with the log of the GDP deflator and the short-run nominal interest rate. The results are shown in panel (a) of Table 3. For all common variables the impulse responses are qualitatively and quantitatively very similar to those under the baseline. The price level is restricted to remain unaltered upon impact and then becomes significantly positive, most likely because of the increased demand pressure resulting from the government purchases increase. According to Forni and Gambetti (2010) the inclusion of forward-looking variables like stock prices into the VAR seems particularly conducive to correctly estimating the fiscal shock and reducing fiscal-foresight problems. We also investigate this suggestion 16 We thank Melander et al. (2007) for providing this dataset to us. The results are reported in the online Appendix. This argument has recently also been stressed by Sims (2009), who uses simulations to show that even when a model contains non-invertibilities (because important state variables cannot be observed by the econometrician), VAR innovations may perform quite well in identifying shocks. To reduce any potential bias, he recommends including as many observable states and other forward-looking variables as is feasible in the VAR. 17 18 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F17 Table 3 Robustness: Anticipation Effects Impact effect After one year After three years After five years (a) Baseline with short-run interest rates and prices Price level 0.00 Government purchases 4.15* Net taxes 0.97* Output 1.19* Long-run interest rate 1.53 Real eff. exchange rate 0.15 Short-run interest rate 0.04 Budget balance ⁄ GDP 0.70* 0.28* 4.34* 0.19 1.49* 2.28 0.31 7.59 0.45* 0.67* 3.10* 0.28 1.11* 28.98* 0.71* 17.43 0.21 0.94* 1.97* 0.23 0.58* 32.77* 0.46 22.16* 0.18 (b) Baseline with stock prices Government purchases Net taxes Output Long-run interest rate Real eff. exchange rate Stock prices Budget balance ⁄ GDP 4.15* 0.70 1.05* 14.43* 0.37 2.14 0.70* 4.49* 0.43 1.19* 27.41* 0.48 1.11 0.66* 3.18* 0.43 0.93* 31.94* 0.76 4.50* 0.27* 2.11* 0.57 0.63* 19.51* 0.82* 3.03* 0.11 (c) Baseline on 8-country sample (B8) Government purchases 4.06* Net taxes 1.99* Output 1.53* Long-run interest rate 14.57 Real eff. exchange rate 0.26 Budget balance ⁄ GDP 0.76* 4.62* 1.90* 1.77* 13.95 0.01 0.77* 3.22* 0.56 1.36* 19.02 0.16 0.31* 1.94* 0.40 0.87* 19.68 0.44 0.00 (d) B8 with fiscal forecasts as exogenous variable Government purchases 4.06* Net taxes 2.09* Output 1.54* Long-run interest rate 7.38 Real eff. exchange rate 0.26 Budget balance ⁄ GDP 0.77* 4.54* 1.96* 1.76* 5.65 0.09 0.77* 2.82* 0.53 1.12* 2.11 0.36 0.31* 1.39* 0.26 0.51 1.24 0.49 0.05 Notes. See note to Table 2. by augmenting the baseline model with the log of nominal stock prices. The impulse responses, reported in panel (b) of Table 3 are not too different from those under the baseline. Net taxes remain insignificant on impact, although quantitatively the difference from the baseline impact is limited. Output is again significant with a multiplier larger than one and a peak reached after one year. Both are smaller though than under the baseline. The budget balance–GDP ratio response is very similar to that under the baseline. The main difference concerns the long-run interest rate, which now becomes significant upon impact. As an additional, and final, test we augment the baseline model with the balance– ratio forecast we used earlier as an exogenous variable. This approach is in the spirit of that followed by Auerbach and Gorodnichenko (2010) in dealing with expectations of changes on government purchases.19 In order to have a sufficiently balanced sample 19 We include the balance–ratio forecast as an exogenous variable, because we find it conceptually difficult to interpret the forecast as a function of lagged forecasts of the system’s variables. Nevertheless, including it as an endogenous variable (ordered first) into the system has no effect on the results. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F18 THE ECONOMIC JOURNAL [FEBRUARY that is, moreover, in terms of sample period comparable to that for our previous estimates, we only estimate this model for those countries for which these forecasts are available since the 1970s. The resulting sample consists of eight countries: Belgium, Denmark, France, Germany, Ireland, Italy, the Netherlands and the UK. To explore the consequences of the expansion of the baseline model for this reduced set of countries, panels (c) and (d) of Table 3 show the results for, respectively, the baseline model and the baseline model augmented with the balance–ratio forecast. The impulse responses are qualitatively and quantitatively very similar for the two cases. Only the reaction of the long-run interest rate is more subdued in the augmented model, although it is insignificant in both cases. 4.2. Testing the Identifying Restrictions A key to identification concerns the assumption of a zero within-year response of government purchases to output. This assumption is also made by Bénétrix and Lane (2010) for their annual-data VAR model. While the zero response can reasonably be expected to hold for quarterly data, its fulfilment is not a priori assured for annual data. However, in Beetsma et al. (2006, 2009a,b) we show how to assess the plausibility of this identifying assumption for an annual VAR, based on estimates from a quarterly model that assumes that government purchases take at least one quarter to react to an output shock. There we apply our method to a VAR in government purchases and output for the largest available subset of the countries in our current sample for which we have sufficient quarterly fiscal data. We show that it is indeed reasonable to identify the annual fiscal SVAR by imposing a zero within-year impact of output on government spending. These results are consistent with recent empirical evidence by Born and Müller (2009), who perform several tests and provide evidence that annual government spending is indeed predetermined in the US. Following Beetsma et al. (2006, 2008), below we assess the legitimacy of our identifying restriction in two more ways. First, we show that the main conclusions of our model are unaffected if we impose a plausible range of contemporaneous responses of public spending to output. While our baseline assumes that the contemporaneous reaction of government purchases to output is zero, the results reported in panel (a) of Table 4 assume a contemporaneous response of government purchases to output of 0.20 (a 1% increase in output lowers purchases by 0.20%), while those reported in panel (b) impose a contemporaneous response of 0.20. Overall, this implies a rather wide range for the purchases response, which we can reasonably expect to contain the true within-period response, given that government purchases are largely predetermined by the official budget and contain no components that automatically fluctuate with the business cycle. A lower contemporaneous response requires a larger impact effect of the purchases shock on output to explain the data. However, for the indicated range, the output multiplier is always quite substantial and above one after one year. The response of the budget balance–GDP ratio is only mildly affected by the imposed reaction of government purchases to output. With a positive contemporaneous reaction of purchases to output, the deterioration in the budget balance–GDP ratio is larger than in the other cases. However, the largest difference concerns cyclicallyadjusted net taxes which respond with a smaller reduction when the imposed purchases 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] F19 GOVERNMENT PURCHASES IN THE EU Table 4 Robustness: Identification Restrictions and Alternative Specifications Impact effect After one year After three years After five years (a) Baseline with response of g to y set at 0.20 Government purchases 4.15* Unadjusted net taxes 1.39* Output 1.46* Long-run interest rate 2.86* Real eff. exchange rate 0.06 Budget balance ⁄ GDP 0.67* 4.52* 0.43 1.84* 4.77 0.42 0.39* 3.40* 0.17 1.43* 20.26 0.99* 0.16 2.26* 0.10 0.79* 29.25* 0.78* 0.18 (b) Baseline with response of g to y set at 0.20 Government purchases 4.15* Net taxes 0.69 Output 0.86* Long-run interest rate 1.33 Real eff. exchange rate 0.37 Budget balance ⁄ GDP 0.78* 4.31* 0.03 1.14* 2.07 0.41 0.55* 2.96* 0.24 0.93* 18.51 0.59 0.26* 1.84* 0.16 0.53* 26.01* 0.46 0.18* (c) Baseline with private output before g Private output 0.00 Government purchases 4.15* Net taxes 0.84* Long-run interest rate 0.92 Real eff. Exchange rate 0.37 Output 1.00* 0.75* Budget balance ⁄ GDP 0.28* 4.37* 0.18 2.23 0.45 1.26* 0.55* 0.38 3.06* 0.15 17.99 0.65 1.02* 0.26* 0.17 1.94* 0.12 25.84* 0.52 0.59* 0.19* (d) Baseline with unadjusted net taxes Government purchases 4.15* Unadjusted net taxes 1.16* Output 1.18* Long-run interest rate 2.18 Real eff. exchange rate 0.21 Budget balance ⁄ GDP 0.78* 4.45* 2.34* 1.52* 4.87 0.40 0.60* 3.26* 1.83* 1.25* 14.66 0.78* 0.42* 2.13* 0.57 0.73* 24.67* 0.65 0.41* (e) Adding the debt ratio to the baseline Government purchases 4.15* Net taxes 0.75 Output 1.24* Long-run interest rate 7.35 Real eff. exchange rate 0.14 Debt ⁄ GDP 0.28 Budget balance ⁄ GDP 0.63* 4.30* 0.46 1.61* 10.80 0.54 0.38 0.24* 3.03* 1.02* 1.21* 12.41 1.10* 0.96 0.01 1.75* 0.98* 0.60* 16.55 0.79* 1.66* 0.05 (f ) Adding the real compensation rate Government purchases 4.15* Net taxes 1.24* Output 1.13* Long-run interest rate 9.39 Real eff. exchange rate 0.13 Real compensation rate 0.56* Budget balance ⁄ GDP 0.78* 4.30* 0.19 1.35* 15.71 0.25 0.43* 0.50* 3.01* 0.19 1.01* 30.00* 0.65 0.47* 0.25* 1.92* 0.25 0.57* 30.47* 0.44 0.56* 0.16 Notes. See note to Table 2. response increases. Presumably, the reason is that the policymakers want to limit the budgetary effects of the positive purchases response to output. The second way to justify our identification assumption is to remove the government purchases component from output and position the resulting variable, referred to as 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F20 [FEBRUARY THE ECONOMIC JOURNAL 20 ‘private output’, before government purchases in the VAR. This way we relax the assumption of a zero contemporaneous response of government purchases to economic activity, while purging the automatic link between output and purchases, because government purchases (to the extent that they are not imported) are part of output. The (total) output response is by construction unity on impact and exceeds unity in the next two years (see Table 4, panel c), which is qualitatively in line with the baseline. The responses of the other variables are much in line with the baseline responses, with net taxes being significantly negative on impact with a response that is quantitatively similar to that under the baseline. Also the response of the budget balance is quantitatively similar to that under the baseline. 4.3. Alternative Specifications This subsection explores the robustness of the baseline specification into a number of dimensions. First, we re-estimate the model by including unadjusted rather than cyclically-adjusted net taxes into the VAR. The results are found in Table 4, panel (d). Re-assuringly, the impulse responses for the other variables are close to the corresponding responses under the baseline. Those for government purchases, output and the real exchange rate are very close, while the budget balance–GDP ratio is slightly more persistent in the case of unadjusted net taxes. Not surprisingly, we see that net taxes are positively affected by the shock, because of the positive effect of the output increase on the cyclical component of net taxes. In panel (e) of Table 4, we report the results of adding the debt ⁄ GDP ratio as an endogenous variable to the baseline model to control for sustainability concerns of the fiscal authorities in setting their policies. We add the debt ratio after government purchases into the system. However, adding it as the first variable would not have changed the results. The impulse responses are only mildly affected by the inclusion of debt into the model. The response of output remains quantitatively very similar, while the real exchange rate again becomes significant after three years. The budget balance–GDP ratio is somewhat less persistent though, while cyclically-adjusted net taxes are no longer significant on impact and rise in the medium-run. The debt ⁄ GDP ratio rises steadily to reach a peak of 2.2% after eight years, after which it starts to decline slowly. As a final alternative we extend the baseline model with the real wage rate of the economy. As our theory section suggests, the real wage rate may be an important transmission channel of an increase in government purchases onto the rest of the economy. Here we proxy the theoretical concept of the real wage rate with the real compensation rate. Panel (f ) of Table 4 reports the results. After the shock, the real compensation rate increases on impact and remains significant for some years. The other responses are essentially unchanged, though. Only the longterm interest rate increases faster, while the real effective exchange rate appreciates by less and is no longer significant after three years (although it gets very close to significance). 20 Incidentally, the results are also robust to a switch in the ordering of g and nt in the model. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F21 4.4. Varying the Sample Period We now explore the robustness of our findings by varying the sample period. The first variant drops the EMU period. Hence, the sample runs over the years 1970–98. The second variant drops the 1970s which may be considered a somewhat unusual period because of the oil shocks. The sample period in this case is 1980–2004. This variant may also help us in detecting potential structural changes. In particular, ongoing financial innovation may have reduced credit restrictions in the private sector, making fiscal expansion less effective. The impact effect on output is indeed larger for the first sub-sample (see Table 5, panels a and b). However, after the impact the difference in the output responses shrinks, despite the fact that the longterm interest rate rises by more and the real effective exchange rate appreciates by more in the second sub-sample. 4.5. Varying Exchange Rate Flexibility Recent empirical studies have explored how the effects of fiscal impulses depend on the exchange rate regime (e.g., Lane and Perotti, 1998, 2003). However, our sample countries have gone through different exchange regimes during our sample period. It is not obvious in our context of a panel VAR how its parameters can be made exchange rate regime dependent, while a further complication is that not all the countries were in the same regime at the same moment. To obtain some indication of the consequences of differences in exchange rate flexibility for the effectiveness of a government purchases shock, we follow a slightly alternative route and focus on the sub-sample of EMU countries. This is the full sample minus Denmark, Sweden and the United Kingdom. These countries are not part of the euro-area and never had the intention to become part of it. Hence, it is not obvious how their exchange rate flexibility has changed. The other countries are part of a common currency area since 1999 and in the decades before that they have followed a policy of gradual reduction of exchange rate flexibility against the German mark. In particular, while the early years of the European Monetary System were characterised by frequent shifts of the official fluctuation bands around the exchange rates, after the Basle-Nyborg agreement in 1987 exchange rates became more stable. Therefore, we split our sample period into the two sub-sample periods 1970–87 and 1988–2004, and we estimate for each sub-period a panel VAR on our EMU-country sample. Neither of the two subsamples is characterised by perfectly flexible or perfectly fixed exchange rate regimes. However, within our entire sample, this provides the maximum contrast in terms of exchange rate flexibility between two sub-periods. Table 5, panels (c) and (d), reports the impulse responses. They are similar for output. In the first sub-period, the long-term interest rate falls in the short run, which is most likely the result of monetary accommodation of the shock (with the central bank’s policy instrument moving the entire yield curve). In the second sub-period, cyclicallyadjusted net taxes accommodate the spending shock more strongly. Most interesting is the difference in behaviour of the real effective exchange rate, which suggests that the two sub-periods do indeed differ in terms of exchange rate flexibility. In the first 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F22 [FEBRUARY THE ECONOMIC JOURNAL Table 5 Robustness: Various Sample Splits Impact effect After one year After three years After five years (a) Sample period 1970–98 Government purchases Net taxes Output Long-run interest rate Real eff. exchange rate Budget balance ⁄ GDP 4.10* 1.05* 1.44* 2.67 0.25 0.60* 4.65* 0.02 1.81* 4.41 0.23 0.35* 3.28* 0.20 1.36* 26.85 0.59 0.17 1.89* 0.07 0.70* 30.72* 0.57 0.17 (b) Sample period 1980–2004 Government purchases Net taxes Output Long-run interest rate Real eff. exchange rate Budget balance ⁄ GDP 4.16* 1.19* 1.06* 13.96 0.37 0.77* 4.67* 0.08 1.56* 26.32* 0.78* 0.40* 3.75* 0.73 1.42* 41.08* 0.95* 0.07 2.62* 0.58 0.84* 35.70* 0.55 0.10 (c) EMU-11, sample period 1970–87 Government purchases 4.30* Net taxes 0.64 Output 1.36* Long-run interest rate 26.24 Real eff. exchange rate 0.07 Budget balance ⁄ GDP 0.63* 4.56* 0.66 1.93* 44.52* 0.77 0.23 3.10* 0.15 1.39* 6.84 0.21 0.19 1.72* 0.06 0.67 37.53 0.76 0.16 (d) EMU-11, sample period 1988–2004 Government purchases 4.44* Net taxes 1.10* Output 1.32* Long-run interest rate 6.84 Real eff. exchange rate 0.52 Budget balance ⁄ GDP 0.63* 4.61* 0.25 1.61* 15.83 1.32* 0.34* 3.48* 0.81 1.18* 17.34 1.24* 0.05 2.31* 0.86 0.67 10.60 0.46 0.02 (e) ‘Closed’ economies Government purchases Net taxes Output Long-run interest rate Real eff. exchange rate Budget balance ⁄ GDP 4.48* 0.86 1.36* 5.74 0.05 0.62* 3.93* 1.11 1.57* 8.53 0.56 0.00 2.81* 0.74 1.15* 30.52 1.66* 0.00 1.90* 0.64 0.55 31.28 1.36* 0.07 ( f ) ‘Open’ economies Government purchases Net taxes Output Long-run interest rate Real eff. exchange rate Budget balance ⁄ GDP 3.86* 1.06 0.79* 4.71 0.62 0.88* 4.34* 1.90* 0.88* 4.80 0.67 1.16* 2.78* 0.53 0.53 8.39 0.62 0.60* 1.27* 0.28 0.11 15.39 0.43 0.21 Notes. See note to Table 2. sub-period the real effective exchange rate hardly moves, while in the second subperiod the real exchange rate exhibits an appreciation, because the nominal exchange rate can no longer move to offset the price inflation.21 21 The difference in reaction of the real effective exchange rate is in line with the earlier suggestion that the direction of movement of the real exchange rate after a government purchases shock depends on the exchange rate regime. The average flexibility of the exchange rate regimes in our first sub-period could be too low to produce a significant depreciation of the real effective exchange rate. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F23 4.6. ‘Closed ’ Versus ‘Open’ Economies Ideally, we would want to allow for country-specific heterogeneity in the VAR parameters. However, this is practically infeasible. Nevertheless, we can explore the consequences of some sample splits. One of the most significant differences among our countries is their degree of openness. Indeed, the theoretical discussion above implies that the effects of an increase in government purchases on the trade balance may depend on the degree of trade openness. Therefore, in this Subsection we split our country-sample into ‘closed’ and ‘open’ economies, where those countries for which the ratio of exports plus imports over GDP has on average over time been in the upper (lower) half of the sample are classified as ‘open’, while the other countries are referred to as ‘closed’. The open economies are Austria, Belgium, Denmark, Ireland, the Netherlands, Portugal and Sweden. The average degree of openness among these countries is 0.88, while among the other group of countries it is 0.49. Hence, on average the two groups differ substantially in their degree of openness. Table 5, panels (e) and (f ), reports for our baseline specification, estimated separately for each of the two groups of countries, the impulses responses to a 1% of GDP government purchases shock. There are quite substantial differences between the impulse responses for the two groups of countries. The output response is weaker on impact for the open than for the closed economies (0.79 versus 1.36). The response for the open economies lies outside the 90% confidence band around the response for the closed economies, and vice versa, indicating that on impact the responses are statistically different. Also in the years after the shock the difference in responses remains significant or close to significance. The output response is weaker for the open economies, despite the fact that net taxes are much more accommodative for these economies.22 They become significantly negative after one year, while for the closed economies they become positive after one year. Also the movement in the long-run interest rate is less accommodative for the closed economies. For this group its response is positive though insignificant, while for the open economies its movement is a lot smaller. Finally, for the closed economies the real effective exchange rate exhibits a substantial and long-lasting appreciation, while for the open economies it shows relatively little movement. An explanation might be that the open economies are more exposed to foreign competition implying that the response of prices is more subdued (the real effective exchange rate is CPI based – see the online Appendix). All three factors (net taxes, long-run interest rate and real effective exchange rate) contribute to giving the closed economies a relative disadvantage in terms of output response. The fact that the output response for this group is nevertheless quite a bit larger suggests that the leakage effect is substantially larger for the open economies. 4.7. Country-by-Country Estimation To investigate the potential presence of heterogeneity further, we estimate a slimmeddown version of the baseline model, in this case a VAR of the vector [g, nt, y], on a 22 We do not have an obvious explanation for the difference in the degree of net tax accommodation. Possibly, the authorities of the open economies are aware of the limited effectiveness of an increase in government purchases and reduce net taxes to boost the effect of the purchases increase. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F24 [FEBRUARY THE ECONOMIC JOURNAL country-by-country basis. We shrink the original model, because each country has a maximum of 35 observations, which would be on the low side given the number of parameters to be estimated in the original model. Again we use a Cholesky decomposition with government purchases ordered first. Figure 2 shows the mean responses for both the full country sample and the groups of closed and open economies. All mean responses are rather similar to the original ones based on the panel VARs, though they are slightly muted, because the persistence in the government purchases response is a bit lower. To give an indication of the dispersion of the responses, the Figure also shows the next-to-lowest and the next-to-highest points in the fourteen individual country responses. This corresponds to roughly an 85% confidence interval. 5. Effects on Government Purchases Shocks on GDP Components Following earlier contributions in the literature, we now break up GDP into its components and we feed those separate components into the panel VAR. The vector of endogenous variables now becomes [g, nt, x, c, i, m, reer]0 , where x is exports, c is private consumption, i is private investment and m is imports, all variables being real and in natural logarithms. To avoid making the VAR too large, we drop the long-run interest rate, which in the baseline became significant only after five years. Identification is again based on the lower-triangular Cholesky decomposition. We include the components x and m of the trade balance share of GDP (tby) as separate variables in the model, in order to help us in tracing the sources of trade balance movements (and to shed light on the twin-deficits hypothesis). Further, by including consumption, we can see if we can reproduce the Keynesian effects found by Galı́ et al. (2007) among others; while by incorporating investment, we can explore whether the positive short-run effects of fiscal expansion on investment, as predicted by some versions of the neo-classical models discussed above and the open-economy extension of Corsetti and Müller (2008), carry over to the current sample. Figure 3 and panel (a) of Table 6 show the impulse responses for our seven endogenous variables, as well as impulse responses for output, the budget balance and the trade balance constructed out of the responses for the endogenous variables. For the trade balance share of GDP we construct the impulse responses as 2.5 2.0 1.5 1.0 0.5 0 –0.5 –1.0 –1.5 1 2 3 4 5 6 7 8 9 10 Years After Shock Fig. 2. Means and Extremes of Individual Country Responses Notes. The solid line is the mean over the full sample; the dashed line is the mean over the closed economies; the dashed-dotted line is the mean over the open economies; and the outer lines represent to the next-to-lowest and next-to-highest points in the 14 individual responses. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU Government Spending (g) 4.0 2.0 0.0 2.0 0.0 –2.0 1.0 0.0 –1.0 –2.0 1.5 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Cyclically Adjusted Net Taxes (nt) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Export (x) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Consumption (c) 0.5 –0.5 6.0 2.0 –2.0 3.0 1.0 –1.0 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Investment (i) F25 Import (m) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Real Effective Exchange Rate (reer) 0.0 –1.0 –2.0 1.5 0.5 –0.5 0.5 0.0 –0.5 –1.0 0.5 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Output (Constructed) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Budget Balance (Constructed) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Trade Balance (Constructed ) –0.5 0 1 2 3 4 5 6 7 8 9 10 Years After Shock –1.5 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Fig. 3. Effects on GDP Components After a Government Purchases Shock Notes. See note to Figure 1. ^t Y^t Þ, where X and M are the anti-logs of x and m, ðX =Y ÞðX^t Y^t Þ ðM =Y ÞðM respectively, and evaluate this expression at the overall sample mean shares of X and M over Y. The reaction of net taxes is very similar to that under the baseline. Consumption and private investment indeed both increase. In particular, the reaction of investment is strong (a peak response of 3.3% after one year). Consumption reaches a peak of 1.1% after one year. The constructed GDP response resembles the corresponding response for the baseline model. Also in line with our earlier finding, the real effective exchange rate appreciates, though again with some lag. The result of this appreciation is a fall in exports that becomes significant after one period. The fall in exports is consistent with what Lane and Perotti (1998, 2003) find if the increase in government purchases falls mainly on government wage consumption. Imports rise in line with the higher income being partly spent on foreign products. Moreover, they are helped by the real exchange rate appreciation. The constructed budget balance again shows a sharp deterioration on impact, after which it restores gradually to zero. The constructed trade balance falls on impact by more than 0.5% of GDP and reaches a minimum of 0.8% of GDP. The combined effects on the budget balance and the trade balance provide support for the twin-deficits hypothesis 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F26 [FEBRUARY THE ECONOMIC JOURNAL Table 6 Responses to a Government Purchases Increase: GDP Split into Components Impact effect After one year After three years After five years (a) All countries Government purchases Net taxes Exports Consumption Investment Imports Real eff. exchange rate Output Budget balance ⁄ GDP Trade balance ⁄ GDP 4.15* 0.90* 0.46 0.91* 1.85* 1.21* 0.30 1.31* 0.63* 0.55* 4.49* 0.24 0.87* 1.13* 3.30* 1.69* 0.61 1.49* 0.49* 0.84* 3.28* 0.02 0.53 0.75* 2.59* 1.39* 0.99* 1.06* 0.34* 0.63* 2.17* 0.44 0.20 0.43 1.36 0.94* 0.76* 0.64* 0.34* 0.38* (b) ‘Closed’ economies Government purchases Net taxes Exports Consumption Investment Imports Real eff. exchange rate Output Budget balance ⁄ GDP Trade balance ⁄ GDP 4.48* 0.75 0.58 1.36* 2.28* 1.08* 0.31 1.82* 0.40* 0.39* 4.04* 0.75 1.16 1.46* 4.22* 0.93 1.00 2.03* 0.09 0.49* 2.85* 0.01 0.48 0.91* 3.32* 1.26* 1.96* 1.36* 0.07 0.41* 1.96* 0.79 0.58 0.61 2.16* 0.87 1.72* 0.84* 0.25 0.34* (c) ‘Open’ economies Government purchases Net taxes Exports Consumption Investment Imports Real eff. exchange rate Output Budget balance ⁄ GDP Trade balance ⁄ GDP 3.86* 0.87 0.71 0.21 0.40 0.50 0.61 0.65* 0.90* 0.54* 4.23* 1.81* 0.64 0.41 0.50 1.37* 0.64 0.53* 1.27* 0.89* 2.66* 0.36 0.63 0.15 0.01 0.55 0.43 0.25 0.66* 0.53* 1.06 0.28 0.61 0.18 0.99 0.51 0.32 0.05 0.23 0.05 (d) Only EU goods trade Government purchases Net taxes Goods exports to EU Output Goods imports from EU REER w.r.t. EU Budget balance ⁄ GDP Trade balance ⁄ GDP 4.15* 1.11* 0.22 1.18* 2.28* 0.06 0.73* 0.46* 4.36* 0.33 0.64 1.55* 2.97* 0.32 0.46* 0.67* 3.18* 0.42 0.48 1.24* 2.75* 0.47 0.14 0.60* 2.08* 0.28 0.26 0.74* 1.77* 0.15 0.12 0.37* Notes. See note to Table 2. The trade balance is expressed in % of GDP. Further, the responses for output (except in panel d ), the budget balance and the trade balance are constructed out of their components. Finally, ‘REER’ = real effective exchange rate. in the sense that there is a positive correlation between the two variables conditional on a government purchases shock. Again, we also split the sample into our groups of ‘closed’ and ‘open’ economies. The impulse responses for the adjusted model confirm the differences between the two groups found earlier for the baseline model (see panels b and c of Table 6). While for the closed economies consumption and investment exhibit strong positive responses 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU F27 (with respective peak effects of 1.5 and 4.3%), the corresponding responses are not significant and quantitatively small (though positive) for the other group. This contrasts with the theoretical results of Corsetti and Müller (2008) we discussed earlier. Again, the response of output is constructed out of the responses of its components. For the closed economies it reaches a maximum of 2.0% after a year, while for the open economies it reaches a maximum of 0.65% (achieved on impact), confirming that for this group a large fraction of the impulse leaks away. Moreover, for this group the stimulus to output fades away rather quickly. As far as the effects on the public budget are concerned, for both groups it deteriorates on impact, although the effect is more than twice as large for the open economies. Moreover, for the closed economies the budget is back into balance after one year, while for the open economies it deteriorates further and only returns to balance in the medium run. One reason for the larger immediate deterioration for the open economies is the smaller increase in GDP. The other is the substantial reduction in net taxes for these economies, which becomes significant after one year. Finally, comparing the effects on the trade balance as a share of GDP, we see that the reduction is larger in magnitude for the open than for closed economies (at least over the first two years). A major source of the fall in the trade balance is the rise in imports, which in turn is to a large extent driven by the increase in GDP. Hence, the substantially-larger GDP response for the closed economies likely suppresses the difference in trade balance responses between the two groups of economies. Otherwise, the difference would have been even larger. Because we are particularly interested in the benefits of fiscal stimulus to EU partner countries, we limit ourselves now to exports to and imports from EU countries only. These intra-European trade data are constructed from the bilateral trade data in the DOTS and these only report trade in goods. However, most of the international trade is trade in goods. In our sample imports and exports of goods are on average 28% of GDP, while the corresponding figure for services is about 5% on average. Further, one would generally consider data on cross-border trade in goods more reliable than data that also cover trade in services. Hence, the non-availability of data on trade in services should not deter us from obtaining at least reasonably reliable estimates of the consequences of a government purchases impulse on the (components of the) trade balance with other EU countries. For the sake of parsimony we include GDP instead of its components in the panel VAR. Hence, the vector of endogenous variables becomes [g, nt, x EU, y, m EU, reer EU]0 , where x EU (m EU) is good exports (imports) to (from) all other EU countries in the sample and reer EU is the real effective exchange rate with respect to all other EU sample countries. The impulse responses are reported in panel (d) of Table 6. Compared with the results reported in panel (a) of this Table, the negative response of exports and the appreciation of the real effective exchange rate are no longer significant, while imports react more strongly, suggesting a higher elasticity (to domestic output) of imports from the EU than from other countries. 6. Direct Estimates of Fiscal Spill-Overs in the EU According to its EERP presented at the end of November 2008 the EU intends to respond to the current economic crisis with a discretionary fiscal expansion of 1.5% (cumulative over the crisis period) of EU GDP in order to mitigate the fall in economic 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F28 THE ECONOMIC JOURNAL [FEBRUARY activity. The EU Member States have committed 1.2% of their GDP in total (170 of the total of 200 billion euros), while the remainder is supposed to come from EU funds. Importantly, the initiative for the EERP was taken by the European Commission (2008). The Commission works for the entire EU and, as such, it is supposed to internalise all externalities. Hence, the idea was to have a concerted stimulus, so that countries can benefit from the positive trade spill-overs vis-a-vis each other. Without the coordinating efforts at the European level, this plan might never have taken off, because each individual country might prefer to profit from the other countries’ expansions, rather than see much of the higher demand from its own expansion leak abroad. The latter is a legitimate concern, in particular for the more open economies, as our estimates have shown. Some countries (in particular, Germany) were not supportive of the plan, claiming that they are already providing enough stimulus by simply letting their automatic stabilisers operate. To form an idea about the potential gains from the coordination of fiscal expansion, we expand the baseline model with the variable y*, which is a measure of economic activity in the other thirteen EU countries. Specifically, the vector of endogenous variables becomes now [y*, g, nt, y, irl, reer]0 . We allow for both a response of y* to y as well as a response of y to y*. This introduces an extra parameter above the ‘diagonal’. With the remainder of the identification scheme following the lower-triangular Cholesky decomposition we need an additional restriction. This is achieved by imposing a zero restriction on the response of g to y*. Given that we have throughout assumed that g does not contemporaneously react to y, it seems most reasonable to also assume that it does not contemporaneously react to y*.23 In exploring the international spill-over effects we confine ourselves to government purchases impulses originating in the five largest EU economies (France, Germany, Italy, Spain and the UK). Together, these economies make up a large fraction of the entire EU economy, while, moreover, we expect the international consequences of individual fiscal impulses in small countries to be minor. We thus estimate a panel VAR with the five largest EU economies. Figure 4 shows the impulse responses for the two weighting schemes used to construct the rest-of-Europe output. The first scheme is based on GDP weights, while the second is based on the intensity of bilateral trade relationships. In particular, we use a weighting scheme based on the amounts of imports by the impulse-giving country (see the online Appendix). The extended specification reproduces the baseline results. The effects on domestic output have become even somewhat stronger on impact and one year after the shock, possibly because these large economies are even more closed on average than the ‘average’ closed economy in our sample. When based on GDP weights, the rest-of-EU output goes up in response to the domestic shock, although the rise is not statistically significant (see Figure 4(a)). With foreign output based on imports weights, not surprisingly the effect on rest-of-EU output is larger (see Figure 4(b)). Two years after the shock it reaches a significant peak if we consider a confidence interval of minus ⁄ plus one standard error around the mean, as has become rather standard now in this literature. The peak effect of 0.35 is 23 To avoid collinearity problems due to the high correlation between the time effects and the restof-Europe output (which is almost country-invariant), period effects are excluded from this specification. 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. 2011 ] GOVERNMENT PURCHASES IN THE EU (a) 6.0 GDP-Based Weights of Foreign GDP Long Term Interest Rate (irl) Output* (y*) 100.0 50.0 0.0 –50.0 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Years After Shock Government Spending (g) Real Effective Exchange rate (reer) 2.0 2.0 –2.0 0.5 0.0 –0.5 –2.0 4.0 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Cyclically Adjusted Net Taxes (nt) 0.0 –4.0 3.0 –6.0 0 1 2 3 4 5 6 7 8 9 10 Years After Shock F29 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Budget Balance (Constructed) 0.5 –0.5 –1.5 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Output (y) 1.0 –1.0 0 1 2 3 4 5 6 7 8 9 10 Years After Shock (b) 1.0 0.5 0.0 –0.5 6.0 4.0 2.0 0.0 –2.0 4.0 2.0 0.0 –2.0 –4.0 3.0 2.0 1.0 0.0 –1.0 Trade-Based Weights of Foreign GDP Output* (y*) Long Term Interest Rate (irl) 100.0 50.0 0.0 –50.0 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Years After Shock Government Spending (g) Real Effective Exchange Rate (reer) 2.0 0.0 –2.0 –4.0 –6.0 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Years After Shock Cyclically Adjusted Net Taxes (nt) 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Output (y) Budget Balance (Constructed) 0.5 –0.5 –1.5 0 1 2 3 4 5 6 7 8 9 10 Years After Shock 0 1 2 3 4 5 6 7 8 9 10 Years After Shock Fig. 4. System with Spill-Overs Notes. See note to Fig. 1. The area between the dotted lines is the confidence interval based on minus ⁄ plus one-standard error (i.e. 16–84th percentile), while the dashed lines mark the 90% confidence interval (5–95th percentile). 2011 The Author(s). The Economic Journal 2011 Royal Economic Society. F30 THE ECONOMIC JOURNAL [FEBRUARY quite substantial if we realise that this number reflects the spill-over of a unilateral fiscal expansion (though of a large economy). Hence, on the basis of these results, spill-overs of a concerted fiscal expansion in the five largest EU countries can be expected to be non-negligible, which might justify such an action in a common recession. 7. Concluding Remarks This article has briefly reviewed the theoretical and empirical literature on the consequences of discretionary impulses to government purchases. Employing panel VARs we have provided our own empirical evidence for the EU. We find a positive effect on output with a multiplier exceeding unity. The real exchange rate appreciates and the public budget deteriorates. A split of output into its components suggests positive responses of private consumption and investments, while imports rise and exports fall, implying a deterioration of the trade balance and, hence, lending support to the twindeficits hypothesis. A sample split into relatively closed and relatively open economies suggests a lower output multiplier and a stronger and more drawn-out trade balance deterioration for the latter group, which indicates that for this group a substantial part of the fiscal stimulus leaks abroad. Further investigation shows that import elasticities for within-EU trade are higher than for trade with countries outside the EU. 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