Applied mathematics in Engineering, Management and Technology 2 (2) 2014:378-384 www.amiemt-journal.com Estimation of Potential Taxable Capacity of the Developed OilExporter Countries Nasser Ali Yadollahzadeh Tabari *1, Mohadese Soltantooyeh 2 1,2 Department of Economics, Babol Branch, Islamic Azad University, Babol, Iran. Abstract Tax is an important income source for the governments, so investigating a way to increase it is very important and to do so an accurate estimate of the income capacity and the existing sources is necessary. The most proper criterion to calculate and estimate its capacity, which can be potentially taxed, is the tax basis of different economic sectors. In this research we have estimated the tax capacity of the developed oil-exporter countries by using combined data for 11 countries in two periods of (2005-2007) and (2008-2010). The results of the estimated model showed no gap or little gap between the potential tax capacity and the realized tax proceeds. Also the results for investigating the tax efforts of the selected countries in the time period of post-crisis and within crisis shows that despite the crisis there is a decrease in the countries tax efforts compared to the pre-war period. Keywords: tax; tax potential economic capacity; tax rate; tax effort; developed countries 1.Introduction One of the concerns of the governments and economic systems in the world is tax system efficiency and determining tax rates for different classes of society so that with having the maximum tax capacity, it can have the highest income for the governments. The tax capacity is one of the concepts which despite its importance, has little been dealt with in short-term and long-term programming and in executive organization and method reforms. The purpose of taxation is basically to equip governmental sources, making economic policies and help improve the process of income distribution in society. To know and estimate the society's real potential to pay taxes and factors affecting it, the issue of tax capacity is discussed. Considering the importance the tax incomes have in covering government expenses, the tax capacity can have a considerable role in economic policy making. The tax capacity is actually the volume of tax the society is capable of paying (or is able to pay). Also tax capacity reveals that, first of all, how much a country or region has exerted efforts to equip tax sources and second, how much it can increase these sources. A short look at the countries tax system performance reveals that despite the measures taken to reform tax system in its various aspects, reforming the rates and tax exemptions and extensive bureaucratic reforms in detection processes to collect taxes, the changes in the ratio of tax to GDP which is used as a worldwide acceptable index to assess the countries tax system performance, have been too slow and little in some countries. In spite of the economic crisis in recent years and its effects on oil price fluctuations, investigating the tax capacity of the developed oil-exporter countries is considered. In this research we will investigate the effects of the 2008 crisis and its aftershocks on the financial capacity of the developed countries. To do so, we will take a look at the selected countries financial capacity in the crisis period and the pre-crisis period. And it is expected that with the crisis and therefore the oil price increase, the tax efforts ebb in the countries under investigation. Also since not all developed countries have similar tax capacities and equal tax efforts, we investigated the tax capacity and tax efforts of 11 developed oil-exporter countries. 2.Literature review 378 Applied mathematics in Engineering, Management and Technology 2 (2) 2014 N. Yadollahzadeh and M. Soltantooyeh The economic theories and studies done by economists reflect different attitudes toward tax capacity and factors influencing it. 2.1 Definitions for tax capacity there are various definitions for the tax capacity, but we can generally say that the tax capacity is actually the volume of tax the society is capable of paying and this capability relies on the incomes, consumptions and investigation on the one hand and on long-term goals and short-term and medium-term programs available to investigate on texts like the constitution, regular laws and executive processes, on the other hand. The tax capacity offers necessary information about the capacity of a country or a region in equipping tax sources to fulfill financial problems and execute economic policies and also shows ,first, how much a country has tried to equip tax sources and ,second, how much it expects these sources to increase. The tax capacity is necessarily determined through considering the optimal tax, hence the optimal tax and the tax capacity are briefly used interchangeably. Therefore a tax system is described as efficient when the society has reached its tax capacity level and then the estimated tax capacity is compared to the collected tax. 2.2 Types of tax capacities 1. Tax capacity of national income: is the financial potentials of the national income to make tax incomes within the existing laws. 2. Tax capacity of national capital: this capacity is actually the government's tax incomes through national capitals and is complementary to the Tax capacity of national income, like tax on heritage. 3. Tax capacity of the final return of capital: according to this definition in every economic sector and subsector and based on the amount of return in similar governmental activities in different sectors and on the type of situation where its possible to optimize the efficiency of all society, the return of the capital must be investigated. 3.Research methodology Tax performance is comprised of two different and separate criteria. One is the tax capacity which is a criterion for the government's capability of making income and the other is the tax effort which shows the domain where the government has been able to identify the existing tax bases and make use of its tax capacity. These two criterions together show a picture of the potential possibility of extra taxation. Economists usually use the ratio of tax to GDP to assess countries tax performance. Moreover, the abovementioned index is used to compare countries tax performances. Utilizing such a ratio is a proper way to compare tax performances or processes of countries with similar economic and income structure. Simplicity and giving a general and exhaustive view of the international processes of taxation are of the advantages of this method. Nevertheless it should be noted that using this method to investigate and compare the effectiveness of taxation policies in different countries with different income groups may lead to an unreal picture of the truth. And the reason for this is attributed to differences in economic structures, institutional arrangements and population processes. Tax efforts reflect the domain or limits within which a country or a province makes use of its tax capacity. Tax efforts are influenced by tax rates levels, granted exemptions, efforts toward law enforcement or executive operations of the bureau of levy, etc. The index of tax efforts determines the gap between levying tax in a country or a province and the tax capacity Of the some country or region' Therefore, the emphasis of the point that different countries may have different levels of tax efforts is on the fact that the tax collected in a country and the capability of collecting it or increasing the proceeds are two different concepts. According to this index, “tax efforts” is gained through dividing the actual tax by the predicted tax rate: T ax Effort = (T/GDP) actual (T/GDP) predicted 379 Applied mathematics in Engineering, Management and Technology 2 (2) 2014 N. Yadollahzadeh and M. Soltantooyeh Opposite the comparison of the simple ratio, the index of tax efforts actually offers the possibility to evaluate the effectiveness of the policies and programs of a country in increasing tax incomes, considering the differences among the regions and countries based on tax capacity. The method above is the one Chelliah [1] mentions as the criterion for the statics of evaluating tax performance, because the method measures the potential tax capacity or capability at a point of time. He believes that the tax effort must be calculated dynamically to give the possibility of comparing tax ratio changes during time, so that if a country or a region had little tax effort at a specific point of time, it can be judged whether or not there have been any efforts to increase the tax incomes during time. He recognizes tax effort as a process which gets various forms such as reforming existing taxes, improving tax bureaucratic structure and introducing new taxes, and all these need time to program, legislate and execute. 4.Experimental studies about the potential economic capacity of tax The optimal level for tax income and its role in GDP of a country is both an ideological and technical issue. Governments in different countries have different perspectives toward “the amount of tax without being jeopardized by long-term economic growth”. In fact there are limits and maximums for tax income. Weiss believes that despite all the limitations, there is one important tradition in Economy, based on which the ratio of tax to GDP is considered an important element in financial policy that can influence development strategy. The issue of the potential tax sources the government can receive has brought up the idea and concept of “tax capacity”. Tax capacity refers to people's capability of paying taxes and the government's capability of collecting them. In this section the most important researches and studies conducted within the field of the potential sources of tax incomes and tax capacity in different countries are analyzed. There have been researches about tax capacity in different countries, some are mentioned bellow. In his study Chelliah [1] investigates the tax effort and tax capacity in 50 different developing countries within the time period of 1953-1968. In the study the functional relationships between the tax ratio and independent variables are presented in a linear form and are estimated through the method of the least ordinary squares in the sectional method. In his study Piancastelle [6] has calculated the tax effort of 75 countries through the method of the least ordinary squares during 1985-95. Tax effort for each country has been calculated through the ratio of collected tax to estimated tax and Castelle put these countries into 3 groups: group one, countries with low income(31 countries); group two, countries with average income(20 countries); group three, countries with high income(24 countries). After estimating the model he concluded that most countries of high income have the tax effort of higher than one, among the countries of average income only six had the tax effort of higher than one and most countries of low income have the tax effort of higher than one. Countries of low income supply most of the financial sources of the ruling government from tax incomes. In his study Eltony [3] suggests that most Arab countries have problems supplying enough income for their public expenses and may face budget deficit. In his study to investigate the share of tax income and to calculate the tax effort index, he investigated the tax effort in 16 Arab countries using the section and time-order statistics and information by the estimation of the least ordinary squares model during the years of 1994-2000. The results for the estimation of econometrics model show that factors such as income per capita, the share of agriculture in GDP, the share of mining in GDP, have been the most important factors determining the ratio of tax to GDP in Arabic countries. Moreover the individual characteristics of each country such as the type of the political system, people's attitude toward the government, the quality of the tax administration and other administration branches of the government have played roles in determining the Arabic countries tax efforts. In his study, Sobarzo [7] assesses the tax effort and tax capacity in Mexico and suggests that to reach a proper level of tax effort, attention should be directed to tax decentralization, and he says that Mexico has had a centralized administration. He used the representative tax system (RTS) and concluded that the tax collected by different sectors is almost close to the national average, while the federal tax is under the national average i.e. The sectors have a better performance than the federal government in collecting taxes. Using time section data with the average amount for the years 1990-99, Bird and et al. investigate the role of social factors in decrease or increase of tax incomes. They categorize the factors affecting the tax capacity into three groups: 1-Development, 2-The degree of the economy's openness, 3-Economy structure. The two general model and developed model have been used in this research. In the general model, the variables of per capita 380 Applied mathematics in Engineering, Management and Technology 2 (2) 2014 N. Yadollahzadeh and M. Soltantooyeh GDP, population growth rate, the ratio of export plus import to GDP and the share of the agriculture sector in GDP have been used. In the developed model the variables of social factors and the size of the shadow economy have been inserted. The results suggest that there being a legal and responsible government is a requisite of better levels of tax effort in developing countries and social factors are a key to increasing tax effort, hence not only the factors of the supply part but the factors of the demand part are also important. Davoodi and Grigorian [2] have done a sectional research to investigate the factors of this country's (Armenia) toughness in collecting tax. In this research they have used the figures and data from IMF database about 41 countries in the time period of 1990-2004. Using the sectional data, they have also estimated the model by the method of the least ordinary squares and concluded that Armenia's tax ratio has a direct relationship with the quality of the social factors and an inverse relationship with the shadow economy and that improving the ruling institution in this country will greatly contribute to their tax performance. Using 2SLS (two-stage least squares) model, Le et al. [5] analyze the tax capacity and tax effort among 110 developed and developing countries. In this article, to predict the tax capacity, the ratio of tax income to GDP, demographic and institutional characteristics of macro economy have been estimated. Tax effort has been defined as the index of the share ratio of the total domestic actual tax and the predicted tax capacity. Using the criterion of tax effort and the total actual tax has let them to divide countries into four groups: low total tax, low tax effort; high total tax, high tax effort; low total tax, high tax effort; high total tax, low tax effort. Analysis according to this categorization based on the criterion of the universal average of tax collection and the index of tax effort gives a guideline for countries tax reform in different levels of tax collection and tax effort. 5.The stipulation of the econometrics model to estimate tax economic capacity From Chelliah [1] point of view, evaluating the actual and potential tax performance of a country is a matter of judgment and the country's development stage its economic structure, national customs and some special situations and requirements need to be considered. Considering previous studies, in this study we have used the below model to investigate the factors affecting tax capacity in selected countries in two 3- year periods of (2005-2007) and (2008-2010). The mentioned model comes from the recent study of The World Bank (2008) and the study of Gupta [4] which is used with little changes. To calculate tax capacity, the regression model is explained as below: LTGDPt = b 0 + b1 LVAgri it + b 2 LVIndust it + b 3 LManufactu rit + b 4 LServises it + b 5 LRGDPPC it + b 6 LUrban it + b 7 Inf it + e t LTGDP: logarithm of the ratio of tax revenue to GDP LVAgri: logarithm of the value added share of agriculture in GDP LVIndust: logarithm of the value added of the industrial sector's share of GDP LManufactur: logarithm of the value added of the mining sector's share of GDP LServises: logarithm of the value added in the services sector's share of GDP LRGDPPC: logarithm of real GDP per capital LUrban: logarithm of the ratio of urban population to total population Inf: inflation, and i is represented countries and t represents time. The statistical information about macroeconomic indicators are taken from WDI. In this study the selected countries have been investigated according to the index of development and the volume of oil export. So the countries are developed ones with a high index of oil export. They include Belgium, Canada, France, Italy, South Korea, Netherland, Norway, Russia, Singapore, England and America. 6.Estimating the model and its results In experimental and comparative international studies, the performance of the countries tax system is estimated by using the combination of time series and sectional series about the factors affecting the countries tax capacity and using the method of consolidated regression estimate. In other words, studies about calculating the potential economic tax capacity in a specific country make sense only in a comparative study between countries. Now we will estimate the mentioned regression model. Since data used in this model are a combination of Sectional and time - series data, to control the problem of variance anisotropy and autocorrelation while using 381 Applied mathematics in Engineering, Management and Technology 2 (2) 2014 N. Yadollahzadeh and M. Soltantooyeh the panel data, we have used the method of the least generalized squares within the frame of Period Seemingly Unrelated Regressions (PSUR). Considering the fact that according to the given definition, the tax capacity is the most tax collectable in long term according to the level of income distribution, its combination and each country's existing laws, the tax capacity explains the long-term balance relationship between tax ratio and factors affecting it. Also, in this model all sections have been given equal weight and it is assumed that there are not any differences among sections which are caused as a result of the specific features of each region. In estimating the model, first, we use Chaw and Hausman detection test to specify an appropriate estimation method for the model. In the calculations done by eviews7, the test results are shown to investigate the fixed and random effects. Table 1. The estimated results of fixed effects tests (2005-2007) Effect Test Statistic Prob Cross-section F 664.0783 0.0000 Cross-section Chi-square 201.1413 0.0000 Table 2. The estimated results of Hausman test (2005-2007) Test Summary Chi-Sq. Statistic Prob Cross-section random 16.7946 0.0188 The P-value of Chaw statistic is zero, so the method of estimating integrated data is rejected. Also, the P-value of Hausman statistic is 0.0188 according to which the method of estimating fixed effects for the investigated model in the period of 2005-2007 is a better option. Table 3. The estimated results tax capacity (2007-2005) Variables Coefficients t-statistics Prob. C -10.3467 -4.6610 0.0003 LVAgri -0.2412 -4.3071 0.0006 LVIndust 0.0893 8.1410 0.0000 LManufactur 0.2928 5.0913 0.0001 LServises 0.0820 0.4048 0.6913 LRGDPPC 0.1936 3.0817 0.0076 LUrban 2.3290 4.5999 0.0003 Inf 0.0122 9.0408 0.0000 R2 0.9997 F-Statistic 3365.206 Prob(F-Statistic) 0.0000 The results of estimation in the period of 2005-2007 show that the relation among the logarithm of per capita income, logarithm of the ratio of the mining sectors added value to GDP, logarithm of the ratio of the industrial sectors added value to GDP, the logarithm of the ratio of urban population to the total population and the tax ratio in developing oil-exporter countries is positive and Significant. Also the relation between inflation and tax ratio in the investigated countries is positive and Significance because inflation is moderate. Moreover, the relation between the logarithm of the ratio of the agricultural sectors added value to GDP and tax ratio is negative and Significant and the reason of this negative mark can be the subsidy the countries allot to the agricultural sector and that this sectors enjoys tax exemption more. Table 4. The estimated results of fixed effects tests (2008-2010) Effect Test Statistic Prob Cross-section F 159.5264 0.0000 Cross-section Chi-square 154.3114 0.0000 Table 5. The estimated results of the random effects test (Hausman test) period (2008-2010) Test Summary Chi-Sq. Statistic Prob Cross-section random 3.7330 0.8100 382 Applied mathematics in Engineering, Management and Technology 2 (2) 2014 N. Yadollahzadeh and M. Soltantooyeh Table 6. The estimated results tax capacity (2008-2010) Variables Coefficients t-statistics Prob. C -10.4796 -1.0706 0.2946 LVAgri -0.2393 -2.0792 0.0480 LVIndust 1.0563 1.9708 0.0588 LManufactur -0.1380 -0.6225 0.5392 LServises 0.3738 2.2179 0.0346 LRGDPPC 0.0980 1.9299 0.0955 LUrban 1.2388 0.8032 0.4294 Inf 0.0109 2.7671 0.0105 R2 0.409 F-Statistic 2.247 Prob(F-Statistic) 0.0444 The results of estimation in the period of 2008-2010 show that the relation among the logarithm of per capita income, logarithm of the ratio of the mining sectors added value to GDP, logarithm of the ratio of the industrial sectors added value to GDP, logarithm of the ratio of the services sectors added value to GDP; the logarithm of the ratio of urban population to the total population and the tax ratio in developing oil-exporter countries is positive and Significant(Logarithm of income tax with a confidence level of 90% is positive and significant). Also the relation between inflation and tax ratio in the investigated countries is positive and Significance because inflation is moderate and inflation is GDP growth stimulating and growth in the various sectors. Moreover, the relation between the logarithm of the ratio of the agricultural sectors added value to GDP and tax ratio is negative and Significant and the reason of this negative mark can be the subsidy the countries allot to the agricultural sector and that this sectors enjoys tax exemption more. Now using the gained coefficients, we calculate tax capacity in the mentioned period. Table 7. Results the tax effort for selected countries during (2005-2010) tax effort (2005tax effort (2008Row Country 2007) 2010) Belgium 1.025589 1.009365 1 Canada 1.030866 0.988925 2 France 1.066159 1.060606 3 Italy 1.045281 1.076629 4 South Korea 1.053943 1.038501 5 Netherlands 1.023413 1.039865 6 Norway 1.0137 0.991965 7 Russia 1.167954 1.095728 8 Singapore 1.035579 1.042102 9 The U.K 1.025166 1.027605 10 The U.S 1.021919 1.01575 11 7.Conclusion Since the results of the experimental findings about tax ratio and factors affecting it in the international level are different due to the sensitivity of these studies to the countries under study and the investigation time period, the index of tax effort should not be used mechanically in interpreting how much tax can be increased, therefore, tax effort cannot be deemed as a substitute for the exhaustive study of taxation in a direct relationship with government expenses. Nevertheless, the research results show a high potential tax capacity for the developed oil-exporter countries and as it was shown the tax effort is high in those countries and is close to one. According to the results in table 7, it is expectedly seen that despite the crisis in the time period of (2008-2010), tax effort has decreased in the mentioned period and almost all countries show similar results (only Italy and Netherland show increased tax efforts in that period and the reason is that these countries budgets are less affected by the oil price fluctuations). Therefore, it can be said that developed oil-exporting countries all have high tax efforts and considering the crisis the three-year period before that, the tax effort has ebbed. 383 Applied mathematics in Engineering, Management and Technology 2 (2) 2014 N. Yadollahzadeh and M. Soltantooyeh References Chelliah, R.J. (1971). Trand in taxation in developing Countries. International Monetary Fund, 18: 254-331. Davoodi, H., and Grigorian, D.A. (2007). Tax Potential vs. Tax Effort: A Cross-Country Analysis of Armenia's Stubbornly Low Tax Collection. Working Paper. Eltony, M.N (2002). The Determinants of Tax Effort in Arab Countries. Working Paper. Gupta S.A. (2007). Determinants of Tax Revenue Efforts in Developing Countries. Working Paper. Le, T.M., Moreno-Dodson, B., and Bayraktar, N. (2012). Tax capacity and tax effort: extended cross-country analysis from 1994 to 2009. Working Paper. Piancastelle, M. (2001). Measuring the Tax Effort of Developed and Developing Countries. Working Paper. Sobarzo, H. (2004). Tax Effort and Tax Potential of State Governments in Mexico: A Representative Tax System. Working Paper. 384
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