Discretionary Grants and Soft Budget Constraints in Switzerland By Lars Feld University of Marburg feld@wiwi.uni-marburg.de and Timothy J. Goodspeed Hunter College and CUNY Graduate Center timothy.goodspeed@hunter.cuny.edu March 17, 2005 Abstract: Theoretical models of soft budget constraints in a federation suggest a dynamic relationship between the spending and deficit patterns of lower levels of government on the one hand, and central government grant decisions on the other. Central governments may feel the obligation to increase future discretionary grants to profligate lower levels of government (even if they promise not to). This lowers the lower level government’s expected opportunity cost of spending and borrowing, and increases the incentive of lower-level governments to be profligate currently. Moreover, this pattern should be more pronounced the greater is the discretionary power of the central government to vary grants. We use data on 26 Swiss cantons over the period 1980 – 2001 to test this hypothesis. I. Introduction The move toward decentralized government around the world, and the troubles that have been encountered, has spawned research in new areas of fiscal federalism. The problems in implementing intergovernmental grants, and the study of soft budget constraints in general, is one of these areas. Wildasin (1997) is one of the first papers to explore these issues; he emphasizes the externalities that can result from governmental bankruptcies and how these externalities may be positively related to the size of the failing entity. Inman (2001) pursues the idea that some central governments may develop a “hard budget” reputation and thereby deter profligate behavior of lower level governments. Goodspeed (2002) points to the dynamic interaction of central and lower level governments, showing that forces predicted by lower level governments can lead the central government astray, with lower level governments taking advantage of future central government bail-out policies. In all of these models, the discretionary power of the central government is key. If the central government can use discretionary power to change grant allocations in the future, it will be tempting to bail-out lower levels of government. On the other hand, if the central government ties its hands by using grants that are non-discretionary and cannot be changed in the future, the central government will force itself to implement a hard budget constraint policy. This suggests that one should observe more profligate behavior when lower level governments receive more discretionary grants. The primary purpose of this paper is to test this proposition using data on Switzerland. We develop a simple dynamic econometric approach to do this. Some papers such as Buettner and Wildasin (2004?), Jones, Sanguinetti, and Tommasi (1999), Borge and Rattso (1999), Von Hagen and Dahlberg (2002), and GarciaMila, Goodspeed, and McGuire (2001) have attempted to estimate certain aspects of soft budget constraints. Our econometric approach differs in two important ways from these papers. First, we explicitly consider the dynamic relationship between the central and lower levels of government. Second, we exploit the fact that discretionary grants are more prone to manipulation than non-discretionary grants. Switzerland is an interesting country to study for several reasons. It is of course a highly decentralized and federal country that uses grants extensively. Moreover, as discussed later, its grant system encompasses both discretionary and non-discretionary grants that vary over time as well as across cantons. Our preliminary results suggest that more discretionary grants lead to greater spending and debt levels, though we do not find evidence that they lead to greater deficits over our sample. Greater non-discretionary grants lead to substantially lower debt levels, with weaker evidence that they lead to lower deficits. Our paper is organized as follows. We develop a simple theoretical model in the next section that illustrates the difference between discretionary and nondiscretionary grants. In section 3, we discuss grants in Switzerland. We develop an econometric model that tries to capture the simple dynamics between the central government and cantons in section 4, and also present our preliminary results there. Section 5 concludes. II. A Basic Model To illustrate the basic difference between discretionary and non-discretionary grants, consider the following simple two-period model, based on Goodspeed (2002). The federal economy consists of two types of players, regional governments and the central government. Region i is inhabited by ni identical people whose utility is assumed to be a function of private consumption in periods 1 and 2, Ci1 and Ci2, and per-capita public consumption in periods 1 and 2, Gi1 and Gi2. The representative consumer has private income in each period, Yi1 and Yi2. Before play begins, the central government is assumed to decide on an initial level of grants for each region in period one, denoted gi1. This initial decision is exogenous to the game to be played. In addition to the exogenous central government grants received in period one, the region is able to borrow an amount per capita for public consumption in period 1 denoted Bgi1, and chooses a period one tax rate. Consumers can borrow an amount for private consumption in period 1 denoted by Bci1. In period two, regions choose a tax rate and the central government chooses second period per-capita grants, gi2. There are strategic interactions among the regions, and between the regions and the central government. Consider fist the interaction between regional governments. Regional governments are assumed to move simultaneously and make a choice concerning borrowing and taxation in period one. The equilibrium is a Nash equilibrium in which each region takes the other regions’ borrowing and tax rates as given. In period two, regional governments again move simultaneously and choose a period two tax rate. The central government moves in period two and chooses regions’ second period grant level. With respect to regional borrowing and first period taxation, the interaction between the central government and regional governments is therefore sequential with the regional government moving first. The game is of the Stackelberg variety, that is one of perfect information, so that the regional government knows how the central government will react in period two, and takes into account the reaction function of the central government in its choice of borrowing in period one. We consider two different possibilities for the central government distribution of period two grants. In a first possibility, the central government is assumed to follow a rule so that grants are non-discretionary. Such non-discretionary grants will be defined as grants that cannot be changed by the central government. In other words, the central government is committed to a rule to distribute grants in a particular way in period 2. In a second possibility, the central government will be assumed to have some discretion over the distribution of grants. It will be able to choose to increase future grants to a region if it so chooses. As we will see, this discretion can lead to a soft budget constraint, and hence greater borrowing or lower local taxes than would occur with nondiscretionary grants. The non-discretionary grant case. Under non-discretionary grants, the central government is committed to a rule under which regional grants in period two are unchanging regardless of the choices made by the regional government in period one. The central government decision on second period grants is thus quite simple: g *j 2 = Cons tan t Given this rule for period two grants, regional governments decide how much to borrow and tax in period one. Regional government i’s problem is Max G BiC1 i , Bi1 , t i1, t i 2 u i ( G i1 ) + vi ( Gi 2 ) + wi ( C i1 ) + z i ( C i 2 ) s.t. Gi1 = g i1 + t i1 Y i1 + BiG1 C C i1 = Y i1 (1 - t i1 ) + Bi1 * G G i 2 = g i 2 + t i 2 Y i 2 - Bi1 (1 + r) C c C i 2 = Y i 2 (1 - t i 2 - t 2 ) - Bi1 (1 + r) t2 ∑ n j Y j2 = ∑ n j g j2 * c j j * j2 g = Cons tan t(1 + r) for all j Given the nondiscretionary nature of central government grants, the regional government’s incentives are efficient, both intertemporally and contemporaneously between public and private goods. This is easily seen form the regional government’s first order conditions: ∂ ui ∂ wi Y i1 Y i1 = 0 ∂ G i1 ∂ C i1 ∂ wi ∂ zi - (1 + r) =0 ∂ C i1 ∂C i 2 ∂ u i ∂ vi (1 + r) - = 0 ∂ G i1 ∂ G i 2 ∂ vi ∂ zi Y i2 Y i2 = 0 ∂ Gi2 ∂C i 2 The discretionary grant case. Under discretionary grants, the central government changes a regional government’s second period grants depending on circumstances. Theoretically, the exact way in which discretionary grants will be disbursed depends on how the central government is modeled. A simple model of central government behavior, derived in Goodspeed (2002), supposes that second period grants are chosen so as to maximize expected votes: Max ∑ ni pi ( u i ( G i1 ) + vi ( Gi 2 ) + wi ( C i1 ) + z i ( C i 2 )) g2 i s.t. Gi1 = g i1 + t i1 Y i1 + BiG1 C C i1 = Y i1 (1 - t i1 ) + Bi1 * G G i 2 = g i 2 + t i 2 Y i 2 - Bi1 (1 + r) C c C i 2 = Y i 2 (1 - t i 2 - t 2 ) - Bi1 (1 + r) t2 ∑ n j Y j2 = ∑ n j g j2 * c j j The first order conditions simplify to: ∂ pi ∂ vi ∂ p j ∂ v j = for all i, j ∂ vi ∂ G i 2 ∂ v j ∂ G j 2 The central government equates the weighted marginal utility of regions’ voters where the weights are the change in the probability of voting for the incumbent. These first order conditions implicitly define the central government’s discretionary allocation of second period grants. As discussed in Goodspeed (2002), regional government borrowing in this model will induce changes in discretionary grants from the central government for two reasons. First, the regional government is effectively forcing the hand of the central government by purposefully lowering its second-period public good consumption. The central government responds by increasing grants to maintain its desired public consumption level for region i in period 2. Second, the regional government can effectively increase the political payoff of any central government increase in grants by borrowing. For both of these reasons, increased borrowing in period one by the regional government will induce more discretionary grants in period two from the central government. Moreover, the regional government knows this and consequently has an incentive to overspend in period one and try to induce more discretionary grants in period two. This can be seen by examining the regional government’s problem, noting that the regional government now expects to receive more discretionary grants when it borrows: Max G BiC1 i , Bi1 , t i1, t i 2 u i ( G i1 ) + vi ( Gi 2 ) + wi ( C i1 ) + z i ( C i 2 ) s.t. Gi1 = g i1 + t i1 Y i1 + BiG1 C C i1 = Y i1 (1 - t i1 ) + Bi1 * G G i 2 = g i 2 + t i 2 Y i 2 - Bi1 (1 + r) C c C i 2 = Y i 2 (1 - t i 2 - t 2 ) - Bi1 (1 + r) t2 ∑ n j Y j2 = ∑ n j g j2 * c j j ∂p ∂ g i*2 = f i vi ( Bi1 ) , i ( Bi1 ) (1 + r) ∂ vi ∂ Gi 2 The last constraint is regional government i’s expectation of its future grant allocation. Notice that the regional government recognizes the discretionary nature of the grant, and predicts that it will receive more grants in period 2 as it borrows in period 1. The first order conditions are: ∂ ui ∂ wi Y i1 Y i1 = 0 ∂ G i1 ∂ C i1 ∂ wi ∂ zi - (1 + r) =0 ∂ C i1 ∂C i 2 ∂ u i ∂ f i 2 ∂ vi ∂ zi - 1 (1 + r) ∂ G i1 ∂BiG1 ∂ Gi 2 ∂C i 2 ni Y i 2 m ∑n Y j j2 ∂ f i2 ∂ BiG1 j=1 ∂ vi ∂ zi Y i2 Y i2 = 0 ∂ Gi 2 ∂C i 2 The first order conditions simplify to: ∂ ui ∂ Gi1 = ∂ vi ∂Gi 2 ni Y i 2 ∂ f i2 G ∑ n j Y j 2 ∂ Bi1 j ∂f (1 + r) + 1 - Gi 2 (1 + r) ∂Bi1 (1 + r) = 0 The first term represents the additional cost to a region that results from its increased allocation of grants. This does not represent the full cost since the additional costs of $1 of additional grants are shared among all regions. Given the assumption of a proportional income tax, the costs are shared in proportion to the total income of the region. The second term represents the reduced opportunity cost of borrowing that results from the central government increasing grants to region i. Effectively, the central government bails out region i by increasing its grant allocation. 3. Intergovernmental grants and institutional variation The predictions of the model are tested using data for Switzerland. Swiss federalism is characterized by a far reaching fiscal autonomy at the state and local levels. The states (cantons) have the basic power to tax personal and corporate income as well as capital while the local jurisdictions levy a surcharge on the cantonal income tax and raise own wealth and property taxes. The federal government mainly relies on indirect (proportional) taxes but also on a highly progressive income tax. In addition, it levies a source tax on capital income by a uniform rate of 35 percent that could be deducted by taxpayers when declaring their income to the cantonal tax administration. The Swiss system of intergovernmental grants on the federal level has been established in 1959. Today, it consists of a complex system of almost exclusively vertical transfers from the federal government to the 26 cantons. There is no horizontal equalization system in Switzerland, but only specific horizontal inter-cantonal payments for particular services. However, the vertical transfers have a strong horizontally equalizing impact since rich cantons bear most of the financial burden of the system. The system of intergovernmental grants has four main ‘pillars’: The federal contributions to the cantons, the cantonal share of federal revenues, the cantonal share of the gains from the central bank and cantonal contributions to the federal social security system. 30% of the highly progressive federal income tax is directly redistributed to the cantons according to income (17%) and to financial prosperity of the canton (13%). The federal source tax on capital income is distributed in a similar fashion to the cantons, but instead of financial prosperity the population is taken into account. Both grants are lump-sum and only the first component is not following fiscal equalization criteria. The remaining 70% of the revenue from the federal income tax are used to fund matching grants. Table 1: Federal index of financial prosperity and federal index for mountainous areas (for 2002/2003), share of grants in the total cantonal revenues and share of conditional grants, 1999 Cantons Share of grants Federal index of Federal index of Share of from total canfinancial prosmountainous matching grants tonal revenues perity (Swiss areas (Swiss (%) (%) average = 100) average = 100) Financially potential cantons Zug 26.1 38.4 216 96.70 Basel-City 10.8 71.2 173 111.03 Zurich 15.1 66.5 160 108.95 Geneva Nidwalden 9.7 39.6 61.1 82.6 141 129 111.08 84.12 Basel-Land 15.0 71.4 120 105.37 Cantons with average financial potential Schwyz 40.4 51.3 112 85.67 Schaffhausen Aargau 17.7 19.3 69.8 70.8 107 97 111.03 110.43 Vaud 19.1 77.4 94 106.22 Thurgau 25.7 77.3 83 110.40 Solothurn Glarus 26.8 26.8 77.8 59.0 82 82 103.42 77.16 Ticino 23.3 74.1 82 86.06 St. Gallen 24.9 79.5 80 98.73 Graubünden Luzern 47.1 27.9 87.7 77.0 77 67 70.00 102.12 Uri 48.8 89.7 64 73.55 Appenzell a.Rh. 29.6 69.8 63 82.03 Appenzell i.Rh. 38.7 80.1 62 71.33 Bern 28.2 78.9 57 94.05 Neuchâtel 38.8 81.7 55 88.56 Fribourg 35.3 80.1 51 97.09 Obwalden 44.5 79.3 35 76.83 Jura 48.6 84.8 34 84.98 Valais 41.7 72.8 30 81.4 Switzerland 23.1 74.9 100 100 Financially weak cantons Source: Swiss Federal Finance Department 1999. Notes: The federal index of financial prosperity consists of four sub-indices. The federal transfer index for mountainous areas is one out of four. The lower the number of the index the higher the amount of transfers a canton receives. The share of grants from total cantonal revenue is reported in the second column of Table 1 where cantons are listed according to their financial strength. In some of the financially weak cantons, for example Uri and Jura, grants account for almost half of the total cantonal income. Other cantons like Zurich, Geneva or both Basel fund their spending to more than 85 percent by own taxes. On average, grants cover less than a quarter of total cantonal revenue. As Table 1 also indicates, on average three quarters of all federal transfers take the form of matching grants. Again there is an interesting variation ranging from 38 percent in the case of Zug to almost 90 percent in the case of Uri. Zug appears to be an outlier since the share of matching grants is at least 50 percent in the other cantons. Comparing the descriptive figures for Zug it becomes obvious that this canton is obtaining a relatively large amount of lump-sum grants from the federal government. The amount of matching grants received by a canton depends on an index which should reflect cantonal prosperity. This index relies on four components: cantonal income, cantonal tax revenues adjusted by the cantonal tax burden, the cantonal tax burden itself and an index reflecting the share of mountainous areas in a canton. The index of financial prosperity and its sub-index of mountainous areas is presented in the two last columns in Table 1. The index of financial prosperity determines the order of cantons in the table. The Swiss average is set to 100 index points, while the deviations from the average determine the range of the index. It ranges from 216 in Zug to 30 index points in the canton of Valais. The financial strength of Zug is more than 7 times that of the Valais. It is also obvious from Table 1 that neither financial prosperity nor the variance of it can be fully explained by the share of mountainous area in a canton. This latter range is much lower and the richer half of the cantons appears to be assessed as having a lower share of mountains. 4. The empirical model The above model suggests that the impact of discretionary grants can be estimated via a simple two-equation dynamic empirical model. The discretionary nature of the grants suggests that there are two behavioral relationships to estimate, the central government grant decision and the regional government spending and borrowing decision. According to the theory, the regional government will decide on period one spending and borrowing, using a prediction of how the central government will react in the future. Predicting that the central government will increase grants in the future leads to present period profligate behavior. In period two, the central government uses its discretion to change the grant allocation of region i as region i has expected. In contrast, for the non-discretionary grant case, the central government does not respond in period two, forcing the region to confront a hard budget constraint and non-profligate spending incentives in the present. Hence, one would expect that a greater expected (future) amount of discretionary grants will lead to greater spending and borrowing by regional governments. This two equation dynamic model could additionally be split by distinguishing the spending and borrowing decision of regional governments. Furthermore, borrowing is captured by budget deficits, which capture short-term borrowing, and public debt, which reflects long-term borrowing behavior. Thus, the following econometric model is formulated: yit = α0 + α1 Matchingit+2 + α2 Lump-Sumit + α3 Incit + α4 Popit + α5 Urbanit + α6 Oldit + α7 Youngit + α8 Unemplit + ε Matchingit+2 = β0 + β1 Incit+2 + β2 Popit+2 + β3 Urbanit+2 + β4 Oldit+2 + β5 Youngit+2 + β6 Unemplit+2 + β7 Mountainit+2 + µ where the dependent variable y, stands for the following variables (all in per capita): cantonal expenditure, cantonal debt and the cantonal deficit. The explanatory variables are: Matching federal discretionary grants (matching grants) per capita, Lump-Sum federal unconditional grants per capita, Inc disposable income per capita, Pop population, Urban share of urban population, Old share of population older than 65, Young share of population younger than 20, Mountain federal index of mountainous areas, ε, µ stochastic terms. In addition to matching grants, the fiscal policy models contain standard control variables like income, population size and population structure (urban, old and young population shares). But the fiscal policy models also include non-discretionary grants as a control variable. As mentioned in Section 3, these lump-sum grants are constitutionally fixed and are thus not affected by the same incentives as discretionary grants. Finally, the model for discretionary grants contains the index of mountainous areas which following the remarks in Section 3 constitutes an important legal determinant of the size of matching grants received. By interpreting the coefficient of this variable, please note from Table 1 that this index takes on higher values for cantons with smaller mountain areas and should thus be expected to have a negative sign on matching grants. The analysis uses annual data for the 26 cantons from 1980 to 1998 inflated to the year 1980. The empirical analysis is performed using a pooled cross-section time-series model. We follow Feld and Kirchgässner (2001), who argue that despite the panel structure of the data the inclusion of fixed effects in the cross-section domain is inappropriate because the institutional variables vary only very little or remain even constant over time in most cantons. This particularly holds for the federal index of mountainous areas. Accordingly, cantonal intercepts do not make sense as the captured impact on fiscal outcomes is either solely driven by the time variation or in case of time invariant variables, fixed effects are likely to hide the effect of institutional variables and render them insignificant. Moreover, year dummies are included, to circumvent time dependency and the standard errors are corrected by a GMM method (Newey-West). The nature of this empirical model suggests two additional steps that are required. First, the second equation clearly determines matching grants which are an explanatory variable in the first equation. It is this necessary to find instruments to cope with this obvious endogeneity problem. The model as formulated above suggests to use the federal index of mountainous areas as an instrument in the three fiscal policy equations. Second, this model of four equations could either be estimated in a reduced form considering each of the three fiscal policy equations as a separate decision. It could, however, also be estimated as a structural model using systems estimation techniques. We follow the second possibility and estimate a system of four equations by the GMM method. The estimation results of the model are pretty straightforward. Matching grants per capita are mainly influenced by income and the federal index of mountainous areas. Both are significant at the 1 percent level and have a negative sign. The higher income, the lower the amount of matching grants per capita a canton receives. The less mountain areas a canton has, the lower are the matching grants it receives. Moreover, larger cantons in population terms get significantly lower matching grants. The matching grants a canton can expect to get in the future due to these determinants significantly affect real cantonal spending and debt per capita, but do not have any significant impact on the budget deficit per capita. As theoretically expected, higher discretionary grants induce soft-budget constraints such that the cantons spend more and are more heavily indebted. The estimation results of the control variables in the three fiscal policy equations are pretty much in line with earlier results by Feld and Kirchgässner (2001), Feld and Matsusaka (2003) and Schaltegger and Feld (2004). They do not offer much of a surprise and are in line with theoretical hypotheses. In addition to this simultaneous equations model, we have estimated further systems in order to check the robustness of our results. In a first step, the model has been extended by including political variables that capture interest group influence. Following Feld and Schaltegger (2005) we include the share of the cantonal administrations’ employees in the total cantonal population as a proxy of the power of the cantonal bureaucracy. Since the bureaucracy obtains a higher discretionary power by disposing of additional public funds, it exerts a stronger demand for grants. Moreover, lobbying for grants at the federal level requires the hiring of additional personnel in the state bureaucracy. The respective increase in the number of bureaucrats further raises the power of the bureaucracy. That’s why the bureaucracy is asking for an extension of the federal grant system as well. We hence expect the state bureaucracy variable to exert a positive impact on matching grants per capita. The larger the cantonal bureaucracy, the more easily a canton can develop new spending projects specifically designed to capture federal funds. The second proxy for the power of interest groups in the model is the share of union members from total cantonal population. There is plenty of anecdotal evidence in federal countries and also in Switzerland that states (cantons) facing structural shifts of their economies attempt to shift the burden of structural economic reform to the whole country. Third, the share of farmers from total employment is taken as a proxy for interest group influence. Swiss farmers are known as one of the most influential interest group in the country. It could thus well be that they successfully lobby for more grants because this is indirectly helping them to keep their high incomes. However, farmers get direct subsidies from the federal level such that they will not need to lobby for higher grants. The impact of farmers is thus indeterminate. Political preferences of the cantonal constituencies are controlled for by including an ideology proxy. Ideology is measured by the relative strength of parties in the government. The stronger leftist parties, the higher the value of this variable. In addition, we include a language variable indicating the share of the German speaking population in a canton. While the interest group variables are supposed to influence matching grants and may thus serve as additional instruments in the fiscal policy equations, ideology and the regional dummy are also included as explanatory variables in the fiscal policy equations. Estimating this extended model, the impact of discretionary grants remains highly significant and positive in the spending equation (t-statistics: 8.69) and in the debt equation (4.17). The estimation results can be obtained from the authors upon request. A second robustness checks consists in the inclusion of institutional variables in the simultaneous equations model. According to the analyses on Swiss fiscal policy quoted above, in particular fiscal referendums and formal fiscal constraints play a role for cantonal fiscal policy. Including a dummy variable for fiscal referendums and an index variable for formal fiscal constraints does not affect the main results on the impact of discretionary grants on spending and borrowing. Again, spending and public debt are significantly positively affected by expected (future) matching grants while discretionary grants do not have any significant effect on cantonal deficits per capita. Table 2: GMM system estimates for of discretionary grants and fiscal policy, 26 Swiss cantons, 1980-1998 Variables Matching Grants per Capita (t+2) Lump-Sum Grants per Capita Income per Capita Income per Capita (t+2) Population Population (t+2) Urban Urban (t+2) Old Old (t+2) Young Young (t+2) Unemployment Rate Unemployment Rate (t+2) Index of Mountainous Areas(t+2) Observations R2 Matching Grants per Capita (t+2) – – – -21.959*** (2.70) – -0.216** (2.05) – -142.006 (0.55) – -9.548 (0.38) – -32.962 (1.03) – 53.525 (1.03) -27.836*** (8.55) 442 0.473 Expenditure per Capita 1.374*** (4.07) -1.562 (1.10) 96.928*** (2.57) – Debt per Capita Deficit per Capita 1.452*** (2.67) -8.560*** (3.17) 138.214** (2.03) – 0.028 (0.47) -0.607* (1.68) 10.488* (1.74) – 1.223*** (3.64) – -3.003*** (5.33) – 0.070 (1.09) – 2512.219*** (3.40) – 7200.474*** (6.53) – 369.889*** (3.00) – 116.097* (1.85) – 96.455 (1.00) – 20.139** (2.04) – -121.764* (1.88) – -36.928 (0.32) – 29.919*** (2.69) – 105.748 (0.88) – 284.719 (1.15) – 91.564*** (3.84) – – 442 0.696 – 442 0.615 – 442 0.423 SER 461.98 905.71 1563.88 217.08 Note: : t-values are given in parantheses. The computed standard errors have been corrected for Newey West’s heteroskedasticity and serial correlation consistent covariance matrix. All regressions contain 17 year-dummies whose coefficients are not reported. ***, **, * indicate significance at 1%, 5% and 10% levels, respectively. R 2 is the adjusted coefficient of determination and SER is the standard error of regression. Table 3: GMM system estimates for of discretionary grants and fiscal policy, 26 Swiss cantons, 1980-1998 Variables Matching Grants per Capita (t+2) Lump-Sum Grants per Capita Income per Capita Income per Capita (t+2) Population Population (t+2) Urban Urban (t+2) Old Old (t+2) Young Young (t+2) Unemployment Rate Unemployment Rate (t+2) Index of Mountainous Areas(t+2) Employees of the cantonal administration (t+2) Union members (t+2) Farmers (t+2) Matching Grants per Capita (t+2) – – – -31.354*** (4.68) – -0.176 (1.30) – 41.930 (0.19) – -8.316 (0.41) – 63.502 (1.55) – -69.982* (1.95) -16.959*** (5.77) 46865.87*** (5.34) 3690.921* (1.84) -10773.42*** (2.71) Ideology Ideology (t+2) German Speaking Cantons German Speaking Cantons (t+2) Observations R2 168.469*** (3.25) -1.987 (1.35) 442 0.651 Expenditure per Capita 1.955*** (8.69) -3.567*** (2.76) 109.025*** (3.02) – Debt per Capita 2.112*** (4.17) -8.674*** (3.28) 76.206 (1.14) – 0.057 (1.33) -0.850*** (3.26) 13.627** (2.43) – -1.029*** (3.22) – -2.730*** (5.03) – 0.100 (1.46) – 2419.361*** (3.92) – 7278.368*** (6.89) – 282.216** (2.13) – 91.092* (1.80) – 10.560 (0.12) – 24.076*** (2.88) – -147.329** (-2.56) – -190.772 (1.58) – 27.370** (2.19) – -48.715 (0.40) – 235.401 (0.94) – 49.080** (2.43) – Deficit per Capita – – – – – – – – – – – – 67.285 (0.48) – 178.484 (0.75) – 34.585 (1.26) – -5.160 (1.29) – 6.385 (0.90) – -0.811 (1.19) – 442 0.671 442 0.556 442 0.418 SER 375.88 942.06 1680.73 217.96 Note: : t-values are given in parantheses. The computed standard errors have been corrected for Newey West’s heteroskedasticity and serial correlation consistent covariance matrix. All regressions contain 17 year-dummies whose coefficients are not reported. ***, **, * indicate significance at 1%, 5% and 10% levels, respectively. R 2 is the adjusted coefficient of determination and SER is the standard error of regression. Table 4: GMM system estimates for of discretionary grants and fiscal policy, 26 Swiss cantons, 1980-1998 Variables Matching Grants per Capita (t+2) Lump-Sum Grants per Capita Income per Capita Income per Capita (t+2) Population Population (t+2) Urban Urban (t+2) Old Old (t+2) Young Young (t+2) Unemployment Rate Unemployment Rate (t+2) Index of Mountainous Areas(t+2) Employees of the cantonal administration (t+2) Union members (t+2) Farmers (t+2) Matching Grants per Capita (t+2) – – – -29.393*** (4.18) – -0.200 (1.33) – 2.077 (0.01) – -12.807 (0.53) – 67.438* (1.69) – -52.291 (1.41) -15.555*** (5.45) 48890.96*** (5.53) 4123.318** (2.32) -10325.66** (2.43) Ideology Ideology (t+2) German Speaking Cantons German Speaking Cantons (t+2) Fiscal Referendum 143.769** (2.53) -2.193 (1.40) Expenditure per Capita 1.948*** (8.05) -3.677*** (3.02) 113.507*** (3.22) – Debt per Capita 2.091*** (3.79) -8.566*** (3.27) 77.027 (1.15) – 0.029 (0.67) -0.737*** (2.81) 11.584** (2.11) – -0.591** (2.00) – -2.121*** (3.74) – 0.080 (1.16) – 2170.125*** (4.19) – 6890.359*** (6.81) – 252.162* (1.90) – 227.824*** (4.42) – 210.142** (2.06) – 16.185* (1.84) – -41.607 (0.73) – -48.137 (0.39) – 21.465* (1.89) – -49.056 (0.40) – 207.533 (0.82) – 53.440*** (2.76) – Deficit per Capita – – – – – – – – – – – – 143.966 (1.15) – 302.082 (1.29) – 29.964 (1.05) – 2.409 (0.53) – 17.381** (2.21) – -1.098 (1.56) – -952.842*** (4.96) -1349.526*** (3.73) 66.812* (1.66) Fiscal Referendum (t+2) Formal Fiscal Restraints Formal Fiscal Restraints (t+2) Observations R2 36.226 (0.33) -20.440 (0.64) 442 0.646 – – 124.468 (1.58) – 154.727 (0.92) – 442 0.705 442 0.574 – -49.868*** (3.28) – 442 0.431 SER 378.64 892.87 1646.22 215.65 Note: : t-values are given in parantheses. 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