Abstract
Equalization grants that are inversely related to collected revenue increase the marginal cost of collecting because they tax the collection itself. The main finding is evidence for Chilean municipalities that equalization grants have this incentive effect on local revenue. In order to identify this effect, we exploit that today’s collected revenue could affect grants received 2, 3, or 4 years later, as determined by the equalization grant’gs distribution formula. This formula has undergone changes in the 1990-2006 period. We find a negative relationship between the equalization grant’s implicit tax and collected local revenue, and this effect is greater when the period of time between collection and the corresponding distribution of grants is shorter and when the political coalition to which the incumbent mayor belongs has a high likelihood of winning the next election and therefore paying this implicit tax in the coming years.
Appendix A: static model
I present the results of a static model to compare them with those obtained with the dynamic model. In this case, the local government decision-maker problem is:
![[17]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq17.png)
s.t. 
The FOC of this problem is as follows:
![[18]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq18.png)
In this context, both the implicit tax and the contribution rate lower the marginal benefit of public spending, and it is not worth distinguish between them.
Appendix B: optimal local revenue with
and 
Case 1: 
![[19]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq19.png)
s.t. 
The Bellman equation is:
![[20]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq20.png)
The FOC becomes:
![[21]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq21.png)
The Benveniste–Scheinkman envelope theorem conditions are as follows:
![[22]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq22.png)
![[23]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq23.png)
Then, the FOC can be written:
![[24]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq24.png)
Case 2: 
![[25]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq25.png)
s.t. 
The Bellman equation is:
![[26]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq26.png)
The FOC becomes:
![[27]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq27.png)
The Benveniste–Scheinkman envelope theorem condition is:
![[28]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq28.png)
Then, the FOC can be written:
![[29]](/document/doi/10.1515/bejeap-2012-0059/asset/graphic/bejeap-2012-0059_eq29.png)
Appendix C: the likelihood of paying tax
To calculate the likelihood of paying tax, I use Figure 1, which easily identifies the relationship between the updating year and election year. To calculate the likelihood of paying tax, I need to consider that the information update occurs every 3 years. For instance, in 1991, the likelihood of paying the tax equals the probability (estimated in 1991) of the reelection in 1992 of the political coalition to which the incumbent mayor belongs, because the implicit tax must be “paid” in 1993, 1994, and 1995 and the nearest municipal election is in 1992. Whereas, in 1994 the likelihood of paying tax equals the average of one and two times the likelihood (estimated in 1994) of reelection in 1996 of the political coalition to which the incumbent mayor belongs, because the tax must be “paid” in 1996, 1997, and 1998 and the nearest municipal equation is in 1996 (at the end of the year); thus, the first payment of the implicit tax has a probability equal to 1. Table 10 presents the probabilities considered in each year to calculate the likelihood of paying tax.
Probabilities considered in each year to calculate the likelihood of paying tax.
| Year when likelihood was estimated | Likelihood of reelection considered |
| 1991 | Likelihood of winning 1992 municipal election |
| 1994 | 1 and likelihood of winning 1996 municipal election (twice) |
| 1995 | Likelihood of winning 1996 municipal election (twice) and likelihood of winning 2000 municipal election |
| 1996 | Likelihood of winning 1996 municipal election (twice) and likelihood of winning 2000 municipal election |
| 1997 | 1, 1, and likelihood of winning 2000 municipal election |
| 1998 | Likelihood of winning 2000 municipal election |
| 1999 | Likelihood of winning 2000 municipal election |
| 2000 | Likelihood of winning 2000 municipal election |
| 2001 | Likelihood of winning 2004 municipal election |
| 2002 | Likelihood of winning 2004 municipal election |
| 2003 | Likelihood of winning 2004 municipal election |
| 2004 | Likelihood of winning 2004 municipal election |
| 2005 | Likelihood of winning 2008 municipal election |
| 2006 | Likelihood of winning 2008 municipal election |
To determine the probability of reelection of the political coalition to which the incumbent mayor belongs, I assume that mayors have rational expectations and I estimate a probit regression where the dependent variable is a dummy that equals one if the political coalition to which the mayor belongs is reelected in the nearest future election. The explicative variables change every year because I consider all the available information that a mayor could have. For instance, for 1999 I estimate a probit regression for the likelihood of being reelected in 2000 and consider the following explicative variables: the percentage that the coalition obtained in the municipal elections of 1992 and 1996, the percentage that the coalition obtained in the parliamentary elections of 1989, 1993, and 1997, the percentage that the coalition obtained in the presidential elections of 1989 and 1993, the percentage that the coalition obtained in the 1988 plebiscite, the change in the proportion of municipal school enrollment with respect to the last election year (in this case between 1996 and 1999), the change in municipal poverty considering the available information (in this case between 1996 and 1998), and the relevant change in the SIMCE scores of municipal schools, which represent a quality measure (in this case between 1995 and 1997). For 2000 I estimate a probit regression for the likelihood of being reelected in 2000 and consider the same explicative variables that I consider in 1999 with the exception of: change in the proportion of municipal school enrollment between 1996 and 1999 (in this case I use the change between 1996 and 2000) and the change in the SIMCE scores of municipal schools between 1995 and 1997 (in this case I use the change from 1999 to 1996). For 2001, I estimate a probit regression for the likelihood of being reelected in 2004 and consider the same explicative variables that I consider in 2000 plus the percentage that the coalition obtained in the municipal election of 2000 and with the exception of change in municipal poverty between 1996 and 1998 (in this case I use the change between 1998 and 2000); the change in the proportion of municipal school enrollment between 1996 and 2000 (in this case I use the change between 2000 and 2001), and the change in the SIMCE scores of municipal schools between 1996 and 1999 (in this case I use the change from 2000 to 1997), and so on.
Acknowledgements
I would like to thank Samuel Garrido from SUBDERE for making available the data I use in this paper. I would especially like to thank Bernardita Vial, Francisco Gallego and Ignacio Irarázaval for their comments and advice; and seminar participants at LACEA 2012, SECHI 2011 and 45th International Conference on Public Finance. This paper corresponds to a revised version of the second essay of my PhD dissertation at PUC.
References
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- 1
If fiscal capacity were measured accurately, such transfers would not create a disincentive for local governments to raise revenues, because at the margin local governments still bear full fiscal responsibility for expenditure and tax decisions, essentially because transfers are lump sum in nature (Smart 2007).
- 2
The FCM, in turn, is self-financing: municipalities must contribute a share of their main sources of local revenue to the FCM every year.
- 3
The theoretical literature on the impact of equalization grants takes into account that consumer and producer mobility in response to fiscal incentives is a distinctive characteristic, especially when jurisdictions have fiscal autonomy and the tax rate varies among them; hence, this literature is closely related to tax competition literature (Wilson 1999; Koethenbuerger 2002; Smart 1998)
- 4
If I assume an additively separable utility function for private and public goods, the results do not change.
- 5
I assume that the budget constraint is satisfied with equality because in Chile municipalities may not take on debt, although some Chilean municipalities run large deficits. Even if I include debt as a third source of revenue, the incentive effect still exists.
- 6
Note that due to the dynamic structure of the model, it is possible to separate the implicit tax, which must be anticipated by the local government, from the contribution rate (
) which is contemporaneous, unlike what has been done previously. In a static model, this is not possible (see Appendix A). - 7
Moreover, in 2002 and 2006 the update was delayed by one year. The municipalities were only informed of this decision at the end of 2001 and 2005, respectively. This kind of reform changes the number of years between revenue collection and the update of information for the remaining years.
- 8
Since 2007, the information used in the distribution formula has been updated every year and the revenue component considers the IPP per capita measured two years before the updating year. So if the updating year is t, the grant in year t considers the IPP per capita of the year t-2. Thus, since 2007 every year has been relevant for the distribution formula and the number of years between revenue collection and the update of information is always two years. Finally, the weight of the equalizing component is 35%. I do not consider 2007 because a sophisticated compensation mechanism was established that year for the municipalities that received a lower grant than in the previous year.
- 9
For instance, during most of 2001, municipalities were aware that the information would be updated in 2002 and that therefore, collected revenue in 2001 would have an impact from 2005 to 2007 (that is, in four years’ time). Since the update was delayed by one year, which was known at the end of 2001, the collected revenue in 2002 also affected the grant distribution after four years. The collected revenue in 2001 ultimately affected the grant distribution in 2003, which was known ex-post, and that is why it is not considered in the diagram.
- 10
For instance, for municipalities with IPP per capita closer to the national average, the part of the FCM grant associated with the IPP component is quite small in comparison to municipal revenue. However, because the per capita IPP of those municipalities is near the national average, the rate at which their future grants decrease due to increased collection is also high.
- 11
To calculate the relative importance of the part of the FCM grant associated with the IPP component with respect to municipal revenue, I use the average data for the 1990–2006 period.
- 12
For instance, for 1996, I consider the collected revenue that year and the implicit tax is calculated with the average IPP per capita of 1992, 1993 and 1994. There is another difference between per capita local revenue and the IPP per capita used in the distribution formula: the way the population is measured. For per capita local revenue, the projected population over the 1990–2006 period was considered, based on censuses through 2002, whereas the IPPP per capita includes the projected population based on the latest censuses, which changes depending on the updating year.
- 13
Five municipalities were not considered in the panel because their data present serious measurement errors.
- 14
FNDR is an important vertical grant source used to finance investment projects
- 15
Business equity is the tax base for business taxes.
- 16
For the years in which this information is not available, the value of the preceding year was assigned. Municipalities for which this information was not available were assigned the regional poverty data.
- 17
This threshold was defined on the basis of the average proportion of municipalities in which the political coalition to which the mayor belongs was reelected and the distribution of the predicted likelihood of paying tax in every year. That is, on average, the proportion of municipalities in which the political coalition to which the incumbent mayor belongs was reelected is close to 60%. Therefore then I set the threshold at the predicted likelihood that corresponds to the centile 40 which is, on average, close to 70%.
- 18
The effect measured in standard deviations is calculated using the descriptive statistics of Table 3, i.e., considering municipalities that pay a positive implicit tax.
- 19
If I consider that this kind of revenue does not depend on fiscal effort because it is determined by subsidy amount per pupil (defined at the national level) and the average attendance of students enrolled in municipal schools (although lately municipal authorities have made efforts to encourage student attendance and thus increase education resources), the estimated coefficients will represent the compensated (Marshallian) incentive effect.
- 20
Since there are different sources of revenue (property tax, business tax, vehicle tax) I could use different measures of fiscal capacity, but the only data available was the proportion of exempt properties and business equity for each municipality.
- 21
However, there could be a substitution effect between collected revenue and education resources when the cost of efforts to collect in relation to the effort to increase attendance is higher.
©2013 by Walter de Gruyter Berlin / Boston
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Articles in the same Issue
- Masthead
- Masthead
- Contributions
- Women Rule: Preferences and Fertility in Australian Households
- Can Land Reform Avoid a Left Turn? Evidence from Chile after the Cuban Revolution
- Incentive Effects of Parents’ Transfers to Children: An Artefactual Field Experiment
- Reclassification and Academic Success among English Language Learners: New Evidence from a Large Urban School District
- Fairness, Search Frictions, and Offshoring
- The Incentive Effect of Equalization Grants on Tax Collection
- Why Have Labour Market Outcomes of Youth in Advanced Economies Deteriorated?
- A Commitment Theory of Subsidy Agreements
- The Effects of Transactions Costs and Social Distance: Evidence from a Field Experiment
- Syphilis Cycles
- Impact of Voucher Design on Public School Performance: Evidence from Florida and Milwaukee Voucher Programs
- Topics
- Outsourcing and Innovation: An Empirical Exploration of the Dynamic Relationship
- Economies of Scope, Entry Deterrence and Welfare
- Can Horizontal Mergers Without Synergies Increase Consumer Welfare? Cournot and Bertrand Competition Under Uncertain Demand
- Institutions and information in multilateral bargaining experiments