Discussion Paper Series

Estimates of Average Marginal Tax Rates on Factor Incomes in Japan By Hiroshi Gunji (Daito Bunka University) AND Kenji Miyazaki (Hosei University)

Discussion Paper No. 10-3, December 2010

Institute of Economic Research Faculty of Economics

DAITO BUNKA UNIVERSITY TOKYO, JAPAN 175-8571

Estimates of Average Marginal Tax Rates on Factor Incomes in Japan By Hiroshi Gunji (Daito Bunka University) AND Kenji Miyazaki (Hosei University)

Discussion Paper No. 10-3, December 2010

大東文化大学経済研究所 175-8571 東京都板橋区高島平 1-9-1

This paper presents preliminary findings and may be distributed not only to fellow members at the IER or the Faculty of Economics, Daito Bunka University but also to other interested readers exclusively to stimulate discussion and elicit comments.

Estimates of Average Marginal Tax Rates on Factor Incomes in Japan∗ Hiroshi Gunji Faculty of Economics, Daito Bunka University Kenji Miyazaki† Faculty of Economics, Hosei University December 6, 2010

Abstract In this paper, we estimate average marginal tax rates on factor incomes in Japan from 1963 to 2007. We adapt the method of Joines (1981) [Estimates of effective marginal tax rates on factor incomes. The Journal of Business 54 (2), 191–226.] to the Japanese tax and social security system. Average marginal tax rates on labor incomes without social security premiums range from 14% to 21%, whereas the rates on incomes with social security have increased from 21% to 33%. Tax rates on capital incomes have fluctuated between 35% and 58%. We also compare our estimates with average tax rates and the wedges from business cycle accounting. Key words: Average marginal tax rates; Japan; Social security; Business cycle accounting JEL classifications: E20; E62; H20; O5 ∗

We are grateful to Masaru Inaba, Keisuke Otsu, Garry Fleming, Yosuke Takeda, Masayoshi Tsurumi, and two anonymous referees for many helpful comments, and to Chie Hanaoka for excellent research assistance. Financial support from the Zengin Foundation for Studies on Economics and Finance is acknowledged with thanks. An earlier Japanese version of this paper won the Excellence Award in Zei Ni Kansuru Ronbun (Paper on Tax) from the Tax Payment Association. All the data are in Excel files downloadable from our website (http://sites.google.com/site/amtrjapan/home). † Correspondence to: Kenji Miyazaki, Faculty of Economics, Hosei University, 4342 Aihara, Machida, Tokyo, Japan, 194-0298; e-mail: miya [email protected]; tel: +81-42783-2591; fax: +81-42-783-2611

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1

Introduction

Tax is often introduced into economic models to increase their realism, and sometimes to evaluate quantitatively welfare levels and policy effects. For accurate evaluation, estimating effective tax rates in the macroeconomy is crucial. The average marginal tax rate, which is a weighted average of the marginal tax rates of economic agents with different incomes, is more appropriate as an effective tax rate for macroeconomic analysis than is the average tax rate, which is simply the ratio of total tax revenues to national income. In this paper, we estimate Japanese average marginal tax rates. Many researchers have estimated average marginal tax rates for the US. Joines (1981) and McGrattan et al. (1997), updating the Joines series, used the amounts of income and tax revenue for each income bracket to estimate a series of tax rates on labor and capital incomes. Making fewer assumptions, Seater (1985) and Stephenson (1996), updating the Seater series, adopted the same method to calculate a series of tax rates on total income. Barro and Sahasakul (1983, 1986) used the statutory rate to compute a series of tax rates on total income. Akhand and Liu (2002) used a nonparametric approach to estimate a series of average marginal rates on total income. Following Joines (1981), most research into average marginal taxes has attempted to relax these assumptions, but has computed tax rates only on total income. In many studies in which dynamic macroeconomic models have been calibrated, the Joines (or its updated) series has been used so that the effects of taxes on each factor income can be evaluated separately.1 To 1

For example, McGrattan (1994), McGrattan et al. (1997), Cole and Ohanian (1999), Chari et al. (2000), Siu (2008), and McGrattan and Ohanian (2010) used the Joines series.

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similarly assist macroeconomists investigating the Japanese economy, in this paper we compute average marginal tax rates on capital and labor incomes by using the methodology of Joines. To determine the factors that were detrimental to the Japanese economy after 1990, many researchers have simulated Japanese business cycles in the 1990s by using neoclassical macroeconomic models that incorporate income tax. Hayashi and Prescott (2002) used a constant capital income tax rate of 0.48. Braun et al. (2006) set the labor income tax rate to 0.24, and EstebanPretel et al. (2010) set the labor and capital tax rates to 0.28 and 0.44, respectively. In these studies, average tax rates were used as marginal tax rates; it is important to estimate Japanese marginal tax rates accurately. To our knowledge, the only estimated average marginal tax rates on factor incomes for Japan are those obtained by McKee et al. (1986).2 The paucity of studies may be a product of the Japanese tax system. Many OECD countries adopt a self-assessment income tax system under which, even though wages and salaries are taxed at source, employees usually file a final tax return to make a year-end tax adjustment. In Japan, however, most employees have no such incentive because employers are obliged to make year-end tax adjustments for their employees. This makes it difficult to determine average marginal tax rates for all taxpayers. To be specific, we divided Japanese workers into three categories: employees not filing a final tax return; employees filing a final tax return; and self-employed workers filing a final tax return. The first two are withholding 2

McKee et al. calculated tax rates for 1979, 1981, and 1983 only, without using time series data.

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income taxpayers, and the last two are self-assessment income taxpayers.3 For the US, where most are self-assessment income taxpayers, the Statistics of Income published by the Internal Revenue Service can provide data on almost all taxpayers’ tax revenues for each income bracket. In Japan, the Sample Survey for Self-assessment Income (Shinkoku Shotoku Zei Hyohon Chosa) and the Statistical Survey of Actual Status for Salary in the Private Sector (Minkan Kyuyo Jittai Tokei Chosa), published by the National Tax Agency, present tax data for each income bracket. Thus, with some assumptions, one can construct series of average marginal tax rates for both self-assessment income taxpayers and withholding income taxpayers. The challenge is to estimate average marginal tax rates for all taxpayers by combining these series. In Japan, workers filing a final tax return are both self-assessment and withholding income taxpayers, and they are included in both surveys. To overcome this difficulty in estimating average marginal tax rates, we use a weight to estimate total average marginal tax rates. The weight is chosen so that the average tax rate on total income is equal to a weighted sum of average tax rates on self-assessment income and average tax rates on withholding income. By using this weight, we treat the weighted sum of the average marginal tax rates for self-assessment taxpayers and those for withholding income as the total average marginal tax rates. Furthermore, one can broadly consider social security premiums as a component of taxes on labor income. We calculate average marginal social security premium 3

Retirees, whose main incomes are no longer salaries and wages, are included in both categories of taxpayer.

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rates and add them to the average marginal tax rates on labor incomes. Our results can be summarized as follows. Over the sample period, average marginal tax rates without social security premiums ranged from 14% to 21% and have decreased since the early 1990s. Average marginal tax rates including social security payments ranged from 21% to 33%. Average marginal tax rates for social security have increased from 5% to 15%. Average marginal tax rates on capital incomes ranged from 35% to 58%; they rose by seven and 10 percentage points in 1973 and 1974, respectively, and fell by around five percentage points in 2002 and 2003. In addition, we make two comparisons. We first compare our results with the series of Japanese average tax rates obtained by Mendoza et al. (1994). Their average rates on labor incomes are similar to, and since the late 1980s, slightly higher than our average marginal tax rates; the tax rates on capital incomes obtained by Mendoza et al. are slightly lower than ours. Second, we compare our results with the Japanese labor and capital wedges from business cycle accounting (BCA) obtained by Kobayashi and Inaba (2006). Although our average marginal taxes on labor incomes account for 70% of labor wedges in terms of their level, our estimated tax rates on capital incomes cannot explain fluctuations in the capital wedge. This paper is organized as follows. In Section 2 (resp. 3), we compute average marginal tax rates on labor and capital incomes excluding (resp. including) social security premium rates. In Section 4, we compare our estimated tax rates with the average tax rates computed by Mendoza et al. (1994). In Section 5, we compare our rates with the labor and capital wedges from BCA obtained by Kobayashi and Inaba (2006). In Section 6, we offer concluding 5

remarks.

2

Average Marginal Tax Rates excluding Social Security Premium Rates

In this section, we calculate average marginal tax rates without including social security premium rates. The average marginal tax rates on labor and capital incomes are denoted by M T RL and M T RK, respectively. Economic agents comprise two types of taxpayers: self-assessment taxpayers and withholding taxpayers. We calculate the average marginal tax rates for both types of taxpayers. By combining these figures with an appropriate weight, we estimate the total average marginal tax rates. In Section 2.1, we explain the calculation of average marginal tax rates for self-assessment income taxpayers. In Section 2.2, we explain the calculation of the average marginal tax rates for withholding income taxpayers. In Section 2.3, we report the average marginal tax rates at the macroeconomic level. Before describing our procedure, we comment on our sample period. Our estimated average marginal tax rates on factor incomes in Japan cover the period from 1963 to 2007. The main reason for using this sample period is that the Sample Survey for Self-assessment Income and the Statistical Survey of Actual Status for Salary in the Private Sector are available from 1963. Note also that we use two types of Systems of National Accounts (SNA). One is based on the 1968 System of National Accounts (68SNA), which spans from 1955 to 1998; the other, based on 93SNA, which has a

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base year of 2002, allows us to use data from 1980 to the present. Our series from 1963 to 1979 are based on 68SNA, while the series from 1980 to 2007 are based on 93SNA.4

2.1

Average marginal tax rates for self-assessment income taxpayers

In this subsection, we consider the average marginal tax rates for self-assessment income taxpayers. We calculate these by using the methodology of Joines (1981).5 For computing average marginal tax rates for self-assessment taxpayers, our main data source is the Sample Survey for Self-assessment Income Tax produced by the National Tax Agency. This survey provides data on several types of income for each income bracket. We classify these incomes into labor and capital incomes, and then estimate the average tax rates for each income bracket. For other taxes, only total revenues are available. Each tax item is classified as a proportional tax on either capital income or total income. Adding the proportional taxes to the average marginal tax rates for the self-assessment incomes yields the average marginal tax rates for selfassessment income taxpayers. We assume that taxpayers are homogeneous for each income bracket. The total income of group i (i = 1, . . . , N ) is denoted yi = yli + yki , where yli 4

The 68SNA-based series from 1980 to 1998 are available from the authors on request. Having relaxed assumptions, Akhand and Liu (2002) proposed a nonparametric estimation. We do not use their method for two reasons. First, whereas Akhand and Liu estimated tax rates on total income, we estimate tax rates on individual factor incomes. Second, we do not have a large number of observations. Although it is possible theoretically to use their nonparametric method for our sample, it is not feasible in practice. In order to utilize their method, we need a rich dataset for individual taxpayers. 5

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and yki represent labor and capital incomes, respectively. Following Joines (1981), the amount of tax revenues of group i, ts (yi ) is:

ts (yi ) = τ yi + τk yki + f (y˜i ),

where τ denotes the proportional tax rate on total income, τk is the proportional tax rate on capital income, f (·) represents the progressive tax function, y˜i = γi yi denotes the income that is progressively taxed, and γi is the fraction of taxable income of group i. In this subsection, there are no proportional taxes on labor incomes. Joines (1981) considered two progressive tax functions for labor and capital incomes and assumed the fraction of taxable income to be constant for each income. By contrast, we consider one progressive tax function, but assume that the fraction of taxable income depends on i. The marginal tax rates of group i on labor and capital incomes are: dts (yi )/dyli = τ + γi fi′ dts (yi )/dyki = τ + τk + γi fi′ , where fi′ represents the progressive tax rates schedule. Each marginal rate of income tax is divided into proportional and nonproportional rates. We aggregate the marginal rates across groups to calculate the average marginal tax rates on labor and capital incomes (that is, M T RLs and ∑ s M T RK s , respectively). Letting total tax revenues be T s = N i=1 t (yi ), let∑ ting total labor income be Yl = N i=1 yli , and letting total capital income be

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Yk =

∑N i=1

yki , we obtain: M T RLs

=

M T RK s =

dT s dYl dT s dYk

= =

∑N i=1

∑N i=1

dts (yi ) dYl dts (yi ) dYk

= =

∑N i=1

∑N i=1

dts (yi ) dyli dyli dYl dts (yi ) dyki . dyki dYk

Following Joines (1981), we assume that dyli /dYl = yli /Yl and dyki /dYk = yki /Yk . The assumption simplifies the above equations to:

M T RL

s

= τ+

N ∑

γi wli fi′

(1)

i=1

M T RK

s

= τ + τk +

N ∑

γi wki fi′ ,

(2)

i=1

where wli = yli /Yl and wki = yki /Yk . M T RLs and M T RK s are weighted averages of the marginal tax rates on labor and capital incomes for group i, with the weights wli and wki , respectively, representing the shares of labor and capital incomes that are subject to nonproportional taxes. We now investigate how the available Japanese data can be used to calculate τ , τk , γi , fi′ , wli , and wki in (1) and (2). We then report our results for the average marginal tax rates of self-assessment taxpayers.

2.1.1

Estimation of τ

The proportional tax rate on total income τ is:

τ=

amounts of proportional tax on total incomes . amounts of total incomes

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To compute the denominator, one can use nominal national product (NNP) or national income at market prices from the Annual Reports on the National Accounts (Kokumin Keizai Keisan Nenpo), which is produced by the Economic and Social Research Institute, the Cabinet Office. An alternative to NNP is national income (NI) at factor cost. However, as Joines (1981) explains, NI excludes net indirect tax in taxable income so that, in theory, it allows tax rates to exceed 100%. Hence, we follow Joines and use NNP for total income. The numerator, the total amount of proportional tax, is:

total national tax revenues − income tax − corporation tax −land tax − securities transaction tax + local proportional tax.

Except for data on the local proportional tax in the above equation, we can obtain all of the required data from Chapter 1 (Overview) of the National Tax Agency Annual Statistics Reports (Kokuzeicho Tokei Nenposho). We subtract self-assessment and withholding income taxes and national proportional tax on capital income from the total amount of national tax revenue, and add local proportional tax to obtain the total amount of proportional tax. Land taxes, introduced in 1996, have been suspended since 1998. Securities transaction taxes were abolished in 1999. Local proportional taxes are computed by subtracting local proportional taxes on capital income from total local taxes (that is, prefectural and mu-

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nicipal taxes). The local proportional tax on capital incomes is:

(business tax + prefectural fixed asset tax + real property acquisition tax) +(municipal fixed asset tax + mine production tax + special landholding tax) +(enterprise tax + central planning tax + water utility and land profit tax).

The first and second lines, respectively, represent ordinary prefectural and municipal taxes, and the last line represents special purpose municipal taxes. Data on these items can be obtained from the Annual Statistical Reports on Local Government Finance (Chiho Zaisei Tokei Nenpo) and the White Paper on Local Government Finance (Chiho Zaisei Hakusho) produced by the Ministry of Internal Affairs and Communications. Special landholding tax and enterprise tax were introduced in 1973 and 1975, respectively.

2.1.2

Estimation of τk

Similarly to τ , the proportional tax rates on capital incomes τk are computed from the following:

τk =

amounts of proportional tax on capital incomes . amounts of capital incomes

We interpret the denominator as θNNP, where 1 − θ is labor’s share in NNP, and is given by: (1 − θ)NI =compensation of employees + (1 − θ)unincorporated enterprises income.

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The incomes of unincorporated enterprises are the sum of their operating surpluses and net receivable incomes. Net indirect taxes (=NNP−NI) and the total income of unincorporated enterprises are intermingled and difficult to divide into distinct capital and labor incomes. Therefore, we allocate them to labor and capital incomes based on the shares of labor and capital in total income. The numerator, the amount of proportional tax on capital incomes, is the amount subtracted from total tax revenues excluding income tax when calculating τ . That is:

corporation tax + land tax + securities transaction tax +local proportional tax on capital income.

The source for all data (except for data on the local proportional tax on capital income) is Chapter 1 (Overview) of the National Tax Agency Annual Statistics Reports. The components of the local proportional tax on capital income are described in Section 2.1.1.

2.1.3

Estimation of γi

The ratio of taxable income to total income for each income bracket i, γi , is estimated for each income group i from Section 2-5 (Results of Sample Survey for Self-assessment Income Tax, excerpt) of the National Tax Agency Annual Statistics Reports:

γi =

amounts of taxable income . total income 12

Note that, because of data availability, Joines (1986) assumes γ to take the same value for all i.

2.1.4

Estimation of fi′

The derivative of the progressive tax function for each income bracket i, fi′ , is calculated from the following formula: f1′ = r1 /y1 and fi′ =

(ri /ni ) − (ri−1 /ni−1 ) (˜ yi /ni ) − (˜ yi−1 /ni−1 )

(i = 2, . . . , N ),

where ri is the amount of income tax, ni is the number of taxpayers, and y˜i is the amount of taxable income for each income bracket i. For i = 1, we use r0 = y0 = 0, so f1′ = r1 /y1 . These figures are taken from Section 2-5 of the National Tax Agency Annual Statistics Reports. To compute ri , we use the sum of withholding and self-assessment income taxes in Table 1 of Section 2-5.6

2.1.5

Estimation of wli and wki

To estimate the distribution of labor and capital incomes subject to the nonproportional taxes, wli and wki , we must determine whether each type of assessment income is either labor or capital income. Having divided all incomes into three (labor income yli , capital income yki , and miscellaneous income ymi ), Joines (1981) considered two cases: one in which ymi belongs

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The amount of tax minus the amount of tax credit should be theoretically equal to the amount of withholding income tax plus the amount of self-assessment income taxes in the table, although there exists a subtle statistical discrepancy.

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to labor income and the other in which it belongs to capital income.7 Our allocation of ymi based on labor and capital income shares is novel. Specifically, the reported income items in Table (3) of Section 2-5 (Results of the Sample Survey for Self-assessment Income Tax, excerpt) of the National Tax Agency Annual Statistics Reports are classified into the following three types of income: 1. Labor income (yli ): employment income and retirement income; 2. Capital income (yki ):8 interest income, dividend income, real estate income, comprehensive capital gains, short-term separate capital gains, long-term separate capital gains, capital gains from stocks, etc.; 3. Miscellaneous income (ymi ): business income, farm income, miscellaneous income, timber income, and occasional income. Capital gains on stocks, etc. have been taxed since 1989. Our classification closely follows that of Joines (1981). Having discussed the inclusion of capital gains in capital incomes, Joines (1981) computed marginal tax rates based on their inclusion and exclusion. However, in most studies based on the Joines data, tax rates are based on the inclusion of capital gains. We consider only 7

In most studies based on the Joines data, miscellaneous income is classified as labor income. 8 The Japanese government adopts the source separation taxation system, under which self-assessment taxpayers can choose to include some of the listed capital incomes in their total income or have them taxed separately and proportionally. Most taxpayers are supposed to choose the latter; therefore, it seems appropriate to treat taxation on such capital incomes as proportional. However, some taxpayers include their capital incomes in their total income. Because the Sample Survey for Self-assessment Income does not provide data based on total income excluding capital incomes and because our formula can incorporate proportional taxation when fi′ is constant, we treat such capital incomes as income components that are progressively taxed.

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the case in which capital gains are included in capital incomes.9 We further divide the case in which capital gains are included into three subcases: in the first, miscellaneous incomes are allocated to labor income; in the second, they are allocated to capital income; in the third case, they are allocated to both incomes based on factor shares. Joines (1981) used only the first two subcases. Because the first two are extreme cases, we next explain the third case. The total labor income of self-assessment income taxpayers is denoted by ∑N s Yl s = i=1 yli . The total amount of capital incomes is denoted by Yk = ∑N s i=1 yki . The total amount of miscellaneous incomes is denoted by Ym = ∑N i=1 ymi . We suppose that the income shares of each income bracket are the same as the macroeconomic income shares. By using the labor share 1 − θ, calculated in section 2.1.2, we assume that miscellaneous incomes of (1−θ)ymi and θymi are attributed to labor and capital incomes, respectively. Then, the distributions of labor and capital incomes subject to nonproportional taxes are: wli =

yli + (1 − θ)ymi s Ylis + (1 − θ)Ymi

and

wki =

yki + θymi . s Ykis + θYmi

When θ = 0, all miscellaneous incomes are treated as labor incomes, and when θ = 1, all are treated as capital incomes.

9

Our estimated tax rates based on excluding capital gains are available from the authors on request.

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2.1.6

Estimation of the average marginal tax rates of self-assessment income taxpayers

The above computations can be used to calculate the average marginal tax rates of self-assessment income taxpayers on labor incomes (M T RLs ) and capital incomes (M T RK s ). As already explained, we consider three cases relating to the treatment of miscellaneous incomes. The average marginal tax rates computed are defined as follows: 1. M T RLs0 and M T RK0s : based on miscellaneous incomes being allocated to labor incomes; 2. M T RLs1 and M T RK1s : based on miscellaneous incomes being allocated to capital incomes; 3. M T RLsθ and M T RKθs : based on miscellaneous incomes being allocated to both incomes based on factor shares. The above three types of average marginal tax rates are summarized in Table 1. The plots of M T RLsθ and M T RKθs are presented in Figure 1, in which tax rates for withholding income taxpayers and a weighted average of rates for both taxpayers are also plotted. The average marginal tax rate on labor incomes declined until 1971, then rose gradually until 1992, and has since fluctuated. The average marginal tax rate on capital income peaked at around 70% in 1987. Since then, it has declined gradually. We discuss these results further after calculating total average marginal tax rates in Section 2.3. +++ INSERT TABLE 1 HERE. +++ 16

2.2

Average marginal tax rates for withholding income taxpayers

In this subsection, we calculate the average marginal tax rates for withholding income taxpayers. Under the withholding income tax system, labor and capital incomes are taxed at source. As explained in the introduction, because employers should make year-end tax adjustments for their employees, most employees working for only one institution do not have to file a final tax return. Taxpayers whose labor incomes are from several sources are supposed to collect their incomes and file a final tax declaration. Under the progressive tax system, some of these taxpayers must make additional tax payments, which they have incentives to avoid. Because the Japanese tax system does not give citizens ID numbers, it cannot perfectly monitor such tax avoidance and, hence, cannot guarantee collecting all taxes due. For the data on withholding income, we used the Statistical Survey of Actual Status for Salary in the Private Sector, published by the National Tax Agency. However, this survey provides less detailed information than does the Sample Survey for Self-assessment Income used for self-assessment income taxpayers. The survey for self-assessment income taxpayers stratifies the data on taxpayers into income ranges based on total income, and the associated tables report income from various sources and total tax, as well as the number of taxpayers. By contrast, the survey for withholding income taxpayers reports only employment incomes for each stratum. Furthermore, because this survey provides such detailed information only for employees working in the private sector throughout the year, one cannot obtain suffi-

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cient data either for public sector workers or for private sector workers who only work for part of the year. Because of such data limitations, we make the following three assumptions. 1. We treat withholding taxes on incomes except wages and salaries as proportional taxes. 2. The income distribution of employees working throughout the year represents that for withholding taxpayers. 3. We ignore withholding taxpayers who do not earn wages and salaries. Although these assumptions only arise because of data limitations, they are justified on the following grounds. For the first assumption, because of the source separation tax system, capital incomes such as dividends, interest, and capital gains are currently taxed proportionally.10 The second assumption indicates that the income distribution for public servants and temporary workers is the same as that for private sector wage earners who work throughout the year. The bias induced by making this assumption might be at least partially offset by the fact that, in Japan, public servants earn relatively high incomes because their salaries are based on those of large-scale private corporations, and temporary workers earn relatively low incomes.11 10

As discussed in footnote 8, the Sample Survey for Self-assessment Income uses income bracket data based on total income including capital incomes, whereas the Statistical Survey of Actual Status for Salary in the Private Sector uses income bracket data based only on employment incomes rather than on total income. 11 Furthermore, a justification for the second assumption could be based on the number of workers. According to a recent Labour Force Survey, the number of government workers

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The final assumption implies that withholding taxpayers are almost invariably employees. Unfortunately, we do not know the number of withholding taxpayers who do not earn wages and salaries. However, it is reasonable to ignore such taxpayers. By construction, as shown later, the derivative of the progressive tax function for the first income bracket is the average tax, which is simply the ratio of the amount of taxes to the amount of income, and this is invariant to the number of employees with zero income (who pay no tax). Therefore, treating withholding taxpayers who do not earn wages and salaries as employees with zero income does not affect the average marginal tax rate. Note that the Statistical Survey of Actual Status for Salary in the Private Sector collects data not from employees but from companies. This indicates that the survey counts employees who earn their salaries from more than one company at least twice. However, this double counting does not affect our calculation of average marginal tax rates. This is because, under the Japanese withholding income tax system, the average marginal tax rates for two employees whose incomes (YA and YB ) are from one company are observationally equivalent to the rates for one employee whose incomes (Y1 and Y2 ) are from two companies, as long as either YA = Y1 and YB = Y2 or YA = Y2 and YB = Y1 . is around 2.3 million, which amounts to less than 5% of the total labor force. On the other hand, a recent Statistical Survey of Actual Status for Salary in the Private Sector shows that there are about six times as many private sector employees working throughout the year as there are working for part of the year. Because the survey collects data from each company, such temporary workers include those who have other jobs, are switching careers, or are quitting a job. Therefore, the actual number of temporary workers is even smaller. These arguments suggest that the vast majority of private sector employees work in the sector throughout the year are thus representative of all employees.

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Although most employees do not file a final tax return under the Japanese tax system, employees who earn their employment incomes from more than one company or who receive additional incomes are supposed to file a final tax return by law.12 Thus, some withholding income taxpayers are also self-assessment income taxpayers. However, because taxpayers do not have ID numbers, some might decide not to file an income tax return to avoid additional tax demands. Therefore, we cannot know the exact number of withholding income taxpayers or the exact number who file a final tax return. This issue is discussed in Section 2.3, in which we calculate overall average marginal tax rates on labor and capital incomes. Below, we explain the computation of average marginal tax rates for withholding income taxpayers. As are self-assessment income taxpayers, withholding income taxpayers are assumed to be homogeneous for each income bracket. The tax revenue of group i, tw (yi ), is: tw (yi ) = τ yi + τk yki + τkw yki + τlw yl1i + g(yl2i ), where τ and τk are as defined in the previous subsection, τkw is the additional rate of proportional taxation on the capital incomes of withholding taxpayers, τlw is the rate of proportional taxation on labor incomes except employment incomes, yl1i is labor income except employment income, yl2i is employment income (that is, yli = yl1i + yl2i ), and g(·) represents the progressive tax function for employment income. Unlike self-assessment income tax, withholding income tax is assumed to be represented by: τkw yki + τlw yl1i + g(yl2i ). As 12

To be precise, separate withholding tax systems allow taxpayers earning capital incomes to make separate tax payments.

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already explained, we assume withholding taxes on incomes except wages and salaries to be proportional. The difference in expressions between selfassessment and withholding taxes arises solely because of data availability. The marginal tax rates of group i are:

dtw (yi )/dyli = τ + τlw

dyl1i dyl2i + gi′ dyli dyli

dtw (yi )/dyki = τ + τk + τkw .

We assume that dyl1i /dyli = yl1i /yli and dyk1i /dyki = yk1i /yki . Therefore, similarly to the previous subsection, letting total tax revenues be T w = ∑N ∑N w i=1 yli , and letting total i=1 t (yi ), letting total labor incomes be Yl = ∑ capital be Yk = N i=1 yki , we obtain:

M T RL

w

= τ+

τ˜lw

+

N ∑

w˜li gi′

i=1

M T RK w = τ + τk + τkw ,

where:

∑N τ˜lw

=

τlw

i=1

yl1i

Yl

and w ˜li =

yl2i . Yl

In what follows, we explain how to use the available data to calculate average marginal tax rates. Because τ and τk are as defined in the previous subsection, we explain how to use the available data to construct τ˜lw , τkw , gi′ , and w˜li . Then, we report our calculated average marginal tax rates for withholding income taxpayers.

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2.2.1

Estimation of τ˜lw and τkw

To estimate τ˜lw and τkw , we need data on the amount of taxes for each factor income. As in the previous subsection, miscellaneous incomes are difficult to classify as either capital or labor incomes, and we consider three such cases. For withholding income taxpayers, all types of income, except for employment income (Yl2w ), can be classified into one of the following three categories: 1. Labor income, except for employment income (Yl1w ): retirement income; 2. Capital income (Ykw ): interest income, dividend income, and capital gains on listed stocks; 3. Miscellaneous income (Ymw ): remuneration, fees, and the incomes of nonresidents. Let the corresponding total tax revenues be denoted by Tl1w , Tkw , and Tmw . These figures, as well as those for the total amount of employment income, Yl2w , are available from Section 3-1 (Statistics of Taxation) of the National Tax Agency Annual Statistics Reports. Whereas capital incomes are taxed proportionally, retirement incomes are not. Although taxable retirement incomes after deductions are taxed progressively under the Japanese taxation system, because of limited data availability, we assume that retirement incomes are taxed proportionally.13 For calculating τ˜lw and τkw , we consider three cases: the case in which miscellaneous incomes are treated as labor incomes; the case in which miscellaneous incomes are treated as capital incomes; and the case in which 13

Because retirement incomes account for no more than 2% to 5% of total labor incomes, this assumption only affects our results in a minor way.

22

these incomes are treated as either labor or capital incomes in proportion to the corresponding factor shares. Because the first two are extreme cases, we explain the computation of τ˜lw and τkw in the third case. By using labor’s share 1−θ, we divide miscellaneous incomes into labor incomes (1−θ)Ymw and capital incomes θYmw , respectively. Therefore, τ˜lw and τkw can be estimated from: τ˜lw

Tl1w + (1 − θ)Tmw = w Yl1 + Yl2w + (1 − θ)Ymw

and

τkw

Tkw + θTmw = w . Yk + θYmw

When θ = 0, all miscellaneous incomes are treated as labor incomes, and when θ = 1, all miscellaneous incomes are treated as capital incomes.

2.2.2

Estimation of gi′

The derivative of the progressive tax function for each income bracket i, gi′ , is calculated from g1′ = r1 /yl21 and gi′ =

(ri /ni ) − (ri−1 /ni−1 ) (yl2i /ni ) − (yl2i−1 /ni−1 )

(i = 2, . . . , N ),

where ri is the amount of withholding tax on employment income, ni is the number of taxpayers, and yl2i is the level of employment income for income group i. These figures are available from Table 6 (Breakdown of the number of employment income earners, total amount of salary and amount of tax by range of salary, employment income earners who worked through a year) of Section 3-2 (The Results of the Statistical Survey of Actual Status for Salary in the Private Sector, excerpt) in the National Tax Agency Annual Statistics Reports. Given the method of constructing gi′ , the inclusion of employees with zero 23

income does not affect the average marginal rate. To show this, we create a new income group i = 0 in which r0 = yl20 = 0 and g0′ = 0. For any n0 > 0, g1′ = (r1 /n1 − r0 /n0 )/(yl21 /n1 − yl20 /n0 ) = g1′ = r1 /yl21 , which implies that the derivative of the progressive tax function for the first income bracket is the average tax rate. Because this is simply the ratio of the amount of taxes to the amount of income, it is independent of the number of zero taxpayers. Furthermore, because yl20 = 0, the weight w˜l0 (described later) is always zero, and thus has no effect on the average marginal rate. This provides a justification for our third assumption (described previously) that withholding taxpayers who do not earn wages and salaries can safely be ignored.

2.2.3

Estimation of w˜li

To compute the distribution of labor incomes subject to nonproportional taxes, w ˜li , we must make some adjustments. The total amount of employment income from Table 6 of Section 3-2 in the National Tax Agency Annual ∑N Statistics Reports, i=1 yl2i , is not the same as that from Table 1 of Section 3-1 (Statistics of Taxation), Yl2w . The former is based on the incomes of those who work throughout the year in the private sector, whereas the latter includes public servants and temporary workers. In this context (as already explained), we assume that public servants and temporary workers have the same income distribution as do those working throughout the year in the private sector. Thus, when miscellaneous incomes are allocated to both labor and capital

24

incomes in proportion to the corresponding factor shares, the weight becomes:

w˜li =

Yl2w yl2i × . ∑ N Yl1w + Yl2w + (1 − θ)Ymw i=1 y2li

Note that Yl1w , Yl2w , and Ymw are as defined previously. Data on these items can be obtained from Table 1 of Section 3-1 in the National Tax Agency Annual Statistics Reports. Data on yl2i comes from Table 6 of Section 3-2. When θ = 0 (resp. θ = 1), all miscellaneous incomes are allocated to labor incomes (resp. capital incomes).

2.2.4

Estimation of the average marginal tax rates of withholding income taxpayers

Using the methods described above, we calculate the average marginal tax rates on labor incomes (M T RLw ) and capital incomes (M T RK w ) of withholding income taxpayers. As in the previous section, in calculating average marginal tax rates, we consider the following three treatments of miscellaneous incomes: w 1. M T RLw 0 and M T RK0 : miscellaneous incomes are treated as labor

incomes; w 2. M T RLw 1 and M T RK1 : miscellaneous incomes are treated as capital

incomes; w 3. M T RLw θ and M T RKθ : miscellaneous incomes are allocated to labor

and capital incomes in proportion to the corresponding factor shares.

25

The above three types of average marginal tax rates are presented in Table 2. Compared with those reported in Table 1, the average marginal tax rates on both factor incomes for withholding income taxpayers are always below those of self-assessment income taxpayers. Like M T RLsθ and M T RKθs , w M T RLw θ and M T RKθ are plotted in Figure 1. Figure 1 indicates that

average marginal tax rates for withholding income taxpayers are much lower than those for self-assessment income taxpayers. As is shown later, because w M T RLw θ and M T RKθ account for a major part of total average marginal

tax rates, the behavior of withholding income tax rates is similar to that of total average marginal tax rates. We explain the latter series in the next subsection. +++ INSERT TABLE 2 HERE. +++

2.3

Estimation of total average marginal tax rates

We divided taxpayers into two types, and computed the marginal tax rates on both factor incomes. Based on these computations, we estimate total average marginal tax rates at the macroeconomic level. As already discussed, some withholding taxpayers make year-end tax adjustments. Thus, the withholding income taxpayers who make declarations are included in both the Sample Survey for Self-assessment Income Tax and the Statistical Survey of Actual Status for Salary in the Private Sector. Ideally, one would divide taxpayers into those paying only self-assessment income tax, those paying only withholding income tax, and those paying both types of tax. In addition, one should take account of the numbers of the three types of taxpayers and of the 26

income levels and taxes in all income brackets. Then, to compute average marginal tax rates, one should use as weights the proportions of the three types of taxpayers. However, because data limitations prevent application of these procedures, all we can do is to compute the average marginal tax rates of selfassessment income taxpayers and withholding income taxpayers and then combine them into a weighted average of the tax rates. To do so, we use an alternative weight, denoted by α. When miscellaneous incomes are allocated to labor and capital incomes according to factor shares, the total average marginal tax rates on factor incomes can be computed from:

M T RLθ = αM T RLsθ + (1 − α)M T RLw θ, M T RKθ = αM T RKθs + (1 − α)M T RKθw .

When θ = 0 (θ = 1), all miscellaneous incomes are treated as labor (capital) incomes. The weight α is chosen so that the average tax rate on total income is equal to a weighted average of the average tax rate on self-assessment income and that on withholding income. That is: self-assessment income tax withholding income tax total income tax =α +(1−α) . total income self-assessment income withholding income The denominator of the first term on the right-hand side is computed from the total amount of income reported in Table 1 of Section 2-5 in the National Tax Agency Annual Statistics Reports. The numerator of the first

27

term is obtained from the sum of self-assessment and withholding income taxes in the same table. The denominator of the second term is calculated from the sum of the payment amounts for each income type in Tables 4 to 9 of Section 3-1. The numerator is taken from the total amount of withholding income taxes in Table 1 of the same section. To compute the left-hand side, we assume that the average tax rate for all income taxpayers is the same as that for the withholding income taxpayers who file a final tax return. Given this assumption, the ratio of the sum of the denominators on the right-hand side to the sum of the numerators is the average tax rate for all taxpayers.14 The weight α for each fiscal year is presented in the second column of Table 3. The weight has declined from 20% to reach its current level of around 10%. Recent values are 2% to 3% above the share of the self-employed in the total labor force.15 Based on the weight α for each fiscal year, we compute weighted averages of the average marginal tax rates of self-assessment and withholding income taxpayers to obtain the total average marginal tax rates on labor and capital incomes. The average marginal tax rates are summarized in Table 3. Figure 1 illustrates M T RLθ and M T RKθ for self-assessment income taxpayers, withholding income taxpayers, and a weighted average of both taxpayers. More weight is assigned to withholding taxpayers than to self-assessment in14

In fact, (a + c) + (b + c) a+b+c = d+e+f (d + f ) + (e + f )

when c/f = (a + b + c)/(d + e + f ), where a, b, and c (resp. d, e, and f ) are the amounts of taxes (resp. incomes) for those paying only self-assessment income tax, those paying only withholding income tax, and those paying both types of tax. 15 The figures on the number of self-employed workers and the total labor force obtained from labor force data are fiscal year averages from the Labour Force Survey (Rodoryoku Chosa) published by the Ministry of Internal Affairs and Communications.

28

come taxpayers. Therefore, the total average marginal tax rates are similar to, and slightly above, those for withholding income taxpayers. The average marginal tax rate on labor income increased until the late 1980s and then fluctuated around 20%. In more detail, from its peak in 1992, the rate generally fell to reach its lowest level in 2003. This decline is arguably the result of Japan’s lengthy economic slump (the so-called “lost decade”) and of tax-cutting reforms designed to stimulate the Japanese economy. Since 2004, along with a rebound in stock prices, economic recovery has started, which has increased the average marginal tax rate in the progressive taxation system. Note that these tax rates do not incorporate social security premiums. As discussed in the introduction, social security contributions can be broadly considered as taxes on labor incomes. In the next section, we calculate average marginal tax rates that incorporate social security premium rates. The average marginal tax rate on capital incomes is at least 30% higher than the average marginal tax rate on labor incomes, mainly because of corporation tax. Tax rates on capital incomes increased from 36% to 58% in 1987 and then fluctuated around 55%. The rates rapidly increased by seven percentage points in 1973 and by 10 percentage points in 1974 because of the 1973 oil crisis,16 the 1974 revision of the statutory rate of corporation taxation, and the Act on Special Measures Concerning Taxation (introducing gasoline tax, motor vehicle tax, and local road tax). In the following year, the rates dropped, possibly because of economic depression and as firms adjusted 16

The 1973 oil crisis triggered unexpected inflation, a rise in nominal interests, and thus an increase in nominal capital income and associated taxes.

29

to new tax systems. In 2002 and 2003, the rates fell by five percentage points, perhaps because of the reformed tax system. +++ INSERT TABLE 3 AND FIGURE 1 HERE. +++

3

Average Marginal Tax Rates including Social Security Premium Rates

As noted in Section 1, social security premiums can be broadly interpreted as taxes. In this section, we estimate the average marginal tax rates including social security premiums, denoted by M M T RL. The five types of social security payments considered are pension insurance, health insurance, employment insurance, accident compensation insurance, and long-term care insurance. In the following subsections, we calculate the average marginal premium rates for each security payment. In the final subsection, we add up those rates to obtain total average marginal rates of social security premiums, M SST . We then estimate M M T RL by adding M SST to the average marginal rates excluding social security premiums, M T RL, estimated in the previous section. Before estimating the premium rates on labor incomes for each type of social security, we address two issues. First, M SST and M T RL are based on different weights. We use the income ratio as the weight for M T RL. However, for the M SST weight, because of limited data availability, we use the ratio of the number of insured persons to the total number of workers (the labor force). Insured persons paying lump-sum contributions are generally 30

low-income earners. Therefore, total average marginal rates based on the numbers of insured persons are below those based on income levels. Second, social security payments for employees are paid by both employees and employers. Thus, the effective rates for social security premiums should be estimated as described below. Let wB and wA denote the beforetax and after-tax wage rates, respectively. This means that wB = (1 + τe )wA , where τe is a tax on employers’ payments of wages. The before-tax wage rate for employees is wA = wB /(1 + τe ), so the after-tax wage rate is as follows: 1 − τl B w = (1 − τl )w = 1 + τe A

( ) τl + τe 1− wB , 1 + τe

where τl is a tax on employees’ wages. Therefore, the effective tax rate paid by both employers and employees is (τl + τe )/(1 + τe ).

3.1

Average marginal premium rates for pension insurance

In this subsection, we estimate the average marginal rates of pension insurance. Pension insurance is classified into: (i) the National Pension; (ii) Employees’ Pension Insurance; and (iii) the Mutual Aid Associations’ Pension.17 Every Japanese person above the age of 20 is required by law to join the National Pension, and every regular employee is supposed to belong to 17

The Mutual Aid Associations consist of (iii-1) the Mutual Aid Association of National Government Employees; (iii-2) the Mutual Aid Association of Local Government Employees; (iii-3) the Mutual Aid Corporation of Private School Personnel; (iii-4) the Agriculture, Forestry, and Fisheries Organization Employees Mutual Aid Association; (iii5) the Mutual Aid Associations of Public Corporation Employees; (iii-6) the Seamen’s Insurance; and (iii-7) the Farmer Pension Fund. The last three associations (iii-5)–(iii-7) were liquidated in 1983, 1985, and 1985, respectively.

31

either of the other Employees’ Pension Insurance scheme or to the Mutual Aid Associations’ Pension.18 We calculate the weighted average of these premium rates using the statutory rates and the number of members covered by each type of insurance. The premium for the National Pension is constant and independent of the level of income and, thus, the marginal premium rate should be set to zero. Because the premium for the remaining pensions is proportional to the income level, the marginal premium rate is, with adjustments, the corresponding statutory rate. The weight is considered as the ratio of the number of persons covered by each type of insurance to the total labor force.19 We use the marginal rates and the weights for the other pensions to estimate the weighted average of the premium rates. Data on the numbers of insured persons and the statutory insurance premium rates are from the Social Security Year Book (Shakai Hosho Nenkan) published by the National Federation of Health Insurance Societies. Labor force data are fiscal year averages from the Labour Force Survey (Rodoryoku Chosa) published by the Ministry of Internal Affairs and Communications. To calculate the marginal premium rate for either Employees’ Pension Insurance or the Mutual Aid Associations’ Pension, the corresponding statutory rate on employment incomes must be adjusted. Employment incomes are divided into regular earnings and special earnings, and the latter, paid twice a year, typically account for a large share of overall labor incomes in 18

This system has been in operation since 1961, and covers our entire sample period, 1963–2007. 19 Contributors only to the National Pension are not necessarily part of the labor force. However, the marginal premium rate for the National Pension is zero, and therefore this weight does not affect our estimation.

32

Japan. Before 2002, the statutory premium rate was imposed only on regular earnings,20 and another, much lower, rate is imposed on special earnings. Since the introduction of the total remuneration system in 2003, both types of earnings are subject to the same rate of pension insurance. Thus, we must recalculate the premium rate on total employment incomes. Unfortunately, we cannot obtain data on the amounts of special earnings or on the premium rate on special earnings for each pension fund from the Social Security Year Book. To recalculate the premium rates, we assume that the premiums on special earnings before 2002 were zero. We then construct the ratio of employment earnings to total earnings from a different data source. We estimate the rates of pension insurance (except for the National Pension) on labor incomes by using the product of the statutory rates and the adjustment coefficient ρ, defined as:

ρ=

annual cash earnings . annual cash earnings + annual special earnings

Annual earnings are computed from the sum of the monthly contractual cash earnings in each year. The data on cash earnings and special earnings are from the Basic Survey on the Wage Structure (Chingin Kozo Kihon Tokei Chosa Houkoku) published by the Ministry of Health, Labour, and Welfare.

20

To be precise, the monthly amount of the premium is calculated from the product of the statutory rates and the index of monthly regular earnings, which rounds off fractions of actual monthly payments.

33

3.2

Average marginal premium rates for health insurance

In this subsection, we estimate the average marginal rates of health insurance. The six types of health insurance are: the health insurance managed by government and by associations; National Health Insurance; Employees’ Insurance; Day-Laborers’ Health Insurance; Seamen’s Insurance; and Mutual Aid Association Insurance.21 Every Japanese person aged over 20 is required by law to join one of these associations. As in the previous subsection, we calculate the weighted average of these premium rates using the statutory rates and the number of members covered by each type of insurance. On the one hand, because the premium for National Health Insurance is effectively constant, we set its premium rate to zero. On the other hand, because the premium for the remaining insurance is proportional to the income level, the marginal premium rate is, after adjustment, the corresponding statutory rate. The weight is considered as the ratio of the number of persons covered by each type of insurance to the total labor force.22 Because the marginal premium rate for National Health Insurance is zero, we use the marginal rates and the weights for the other pensions to estimate the weighted average of the premium rates. The data used for our calculations are available from the Social Security Year Book, the Labour Force Survey, and the Basic Survey on the Wage Structure. 21

As described in the previous subsection, the Mutual Aid Association consists of seven associations: (iii-1)–(iii-7). However, because of limited data availability, we use the first four associations to calculate the average marginal premium rates. 22 Note that contributors to National Health Insurance are not necessarily part of the labor force. However, the marginal premium rate for National Health Insurance is zero, and therefore this weight does not affect our estimation.

34

As in the previous subsection, adjustments are needed when using statutory rates on employment incomes. The total remuneration system was introduced for health insurance in 2003, and different rates were imposed on regular earnings and special earnings before 2002. Fortunately, data on insurance premium rates on special earnings for health insurance are available. Therefore, our estimates of the average marginal premium rates before 2002 are:

ρ × (rate on regular earnings) + (1 − ρ) × (rate on special earnings),

where ρ is as defined in the previous subsection. According to this equation, the premium rate is a weighted sum of the insurance rate on cash earnings and that on special earnings.

3.3

Average marginal premium rates for employment insurance

In this subsection, we estimate the average marginal rates for employment insurance. The three types of employment insurance are: Employment Insurance for General Persons; Day-Laborers’ Insurance; and Seamen’s Insurance. We use the statutory rates and the numbers of insured members in each scheme to calculate the weighted average of these premium rates. The marginal premium rate is the corresponding statutory rate when the premium is proportional to the income level, and the weights are the ratios of the numbers of insured members to the labor force. These data are taken from the same sources as those used in the previous subsections. 35

Not every worker is insured for unemployment. Therefore, unlike for pension and health insurance, we need information on the numbers of uninsured workers. We specify this as the difference between the total labor force and the total number of insured persons. Furthermore, the insurance premium for Day-Laborers’ Insurance is in the form of a lump sum and is independent of the level of income. For Day-Laborers’ Insurance contributors and for uninsured workers, the marginal premium rate is zero.

3.4

Average marginal premium rates for accident compensation insurance

In this subsection, we estimate the average marginal rates of accident compensation insurance. We classify accident compensation insurance into Workmen’s Accident Compensation Insurance, Accident Compensation for National Government Employees, and Accident Compensation for Local Government Employees. The premium rate for Workmen’s Accident Compensation Insurance varies between occupations. Rosai Hoken Tekiyo Jigyo Saimoku No Kaisetsu (Details on Enterprises covered by Accident Compensation Insurances) published by Japan Rodo Press provides the premium rates of 94 occupations. To estimate the average marginal premium rates, we calculate the median of those rates in each year.23 For Accident Compensation for National Government Employees and Accident Compensation for Local Government Employees, we can obtain the premium rates from the 23

We use the median instead of the mean for the following two reasons. 1) Whereas many occupations have rates of below 1%, a few have extremely high rates of over 10%; 2) We cannot obtain data on the number of workers in each occupation.

36

Social Security Year Book. Each premium rate is levied on employers, but not on employees (τl = 0).

3.5

Average marginal premium rates for long-term care insurance

Long-term care insurance was introduced in 2000. Persons aged 40 to 65 (termed class 2 persons) must pay this insurance premium. Data on the number of insured persons and the insurance premium rate are taken from the Social Security Year Book. For uninsured persons, the marginal premium is zero. The number of uninsured persons is the difference between the labor force and the number of insured persons. We compute the weighted average of the rates for the insured and uninsured by using the shares of the corresponding groups as weights.

3.6

Average marginal tax rates including all social security premium rates

The average marginal premium rates for all types of social security are shown in columns 2 to 6 of Table 4. Although the pension insurance rate increases gradually, there is little change in the other four rates. Note that the rates of employment insurance, accident compensation insurance, and long-term care insurance are no more than 1%. +++ INSERT TABLE 4 HERE. +++

37

Now, we can estimate the average marginal tax rates including social security premiums, M M T RL. Let M SST be the sum of all of the social security premium rates, which are reported in column 7 of Table 4. When miscellaneous incomes multiplied by the capital share θ are allocated to capital incomes, we obtain:

M M T RLθ = M T RLθ + M SST.

When θ = 0 (θ = 1), miscellaneous incomes are treated as labor (capital) incomes. The results are presented in Table 5. The solid line in Figure 2 represents the time series for M M T RLθ . The rates excluding social security premiums (represented by the broken line, M T RLθ ) range from 14% to 21% for the sample period. Social security premiums increase the rate by around five percentage points up to 1975 and by around 14 percentage points from 2000. Premiums for the National Pension and National Health Insurance, which account for a large share of social security, are independent of income; that is, the marginal premium rate is zero. This might reduce the progressiveness of the marginal tax rate on labor income. In the next section, we compare our average marginal taxes on labor incomes with average taxes. +++ INSERT TABLE 5 AND FIGURE 2 HERE. +++

38

4

Comparing our Tax Rates with Existing Average Tax Rates

In this section, we compare our series of average marginal tax rates with the average tax rates calculated by Mendoza et al. (1994). They used data on tax revenues from the OECD’s Revenue Statistics and data on income and expenditures from the OECD’s National Accounts of OECD Countries. They present a series of average tax rates on consumption, labor, and capital for seven OECD countries for the period 1965–96.24 In this section, we compare our series with their Japanese series. In Figure 3, we compare our average marginal tax rates on labor income, M M T RL, with the corresponding average tax rates presented by Mendoza et al. (1994), AT RL.25 In the early 1980s, the average and marginal tax rates on labor income were similar, and since then, the average rate has slightly exceeded the marginal rate. +++ INSERT FIGURE 3 HERE. +++ Figure 3 indicates that average marginal tax rates are similar to average tax rates. This is the product of the Japanese tax and social security system. Generally, average marginal tax rates are raised if income is taxed progressively but lowered if there are lump-sum taxes. As already noted, whereas 24

They originally estimated a series for 1965–86; a series that extends to 1996 is available from E. G. Mendoza’s Web site: http://econ.server.umd.edu/~mendoza/pp/newdata.pdf We cannot updated their series because some definitions in the Revenues Statistics changed in 1997. 25 Because of how our variables are constructed, our average marginal tax rates on labor income should be compared with the sum of their average tax rates on consumption and labor income.

39

the Japanese social security system levies social security contributions on most employers in proportion to their wages, it imposes lump-sum taxes on others, including the self-employed. It is interesting that the progressiveness of income tax has a small effect. In referring to Feenberg and Coutts (1993), Prescott (2004) assumed that the ratio of marginal tax rates excluding rates of social security contributions to the average tax rates of Mendoza et al. (1994) was 1.6 for the US. Our results indicate that, in Japan, the ratio is unity, which is lower than that referred to by Prescott. This difference arises because the minimum taxable level of personal income is higher in Japan than in the US. In Figure 4, we compare our average marginal tax rates with average tax rates on capital income. The difference between average rates and average marginal rates was in decline until the late 1980s. After that, the gap increased again. This suggests that Japanese taxes on capital income are as progressive as are taxes on labor income without social security premiums. +++ INSERT FIGURE 4 HERE. +++

5

Comparison with BCA

In this section, we compare our results with wedges from BCA developed recently by Chari et al. (2007a). In standard calibration analysis, one chooses an appropriate dynamic macroeconomic model with a plausible set of parameters, estimates exogenous shocks from actual data, and conducts a simulation to evaluate the impact of each shock on the endogenous variables. In BCA, one uses a standard dynamic general equilibrium model to estimate the 40

shock variables, called wedges, from actual endogenous variables, and conducts a simulation to investigate the extent to which each wedge contributes to actual business cycles. The BCA wedges are interpreted as taxes that prevent the economy from achieving its Pareto optimum allocations. The four wedges considered by Chari et al. (2007a) are efficiency, labor, government, and investment wedges. Kobayashi and Inaba (2006) and Otsu (2008) applied BCA to the Japanese economy and concluded that efficiency and labor wedges play an important role in business cycles. These findings are consistent with those of Hayashi and Prescott (2002), who found that technology shocks (known as efficiency wedges in BCA terminology) were the most significant contributors to the depression of the 1990s, Japan’s lost decade. Prescott (2004) compared labor wedges and average marginal tax rates on labor income for the G7 countries including Japan, and concluded that taxes on labor incomes can almost completely account for labor wedges. For other discussions on wedges, see Golosov et al. (2006) and Shimer (2009). Taking BCA analyses into account, we compare our estimated tax rates on labor and capital incomes with labor and capital wedges.26 Note that we use capital wedges although BCA often uses investment wedges. There is controversy about the relationship between capital and investment wedges. Christiano and Davis (2006) point out that, in models with investment adjustment costs, replacing investment wedges by capital wedges may affect the results. In response, Chari et al. (2007b) showed that both wedges are equiv26

We are grateful to Masaru Inaba for providing data on the labor and capital wedges analyzed in this section. Note that Kobayashi and Inaba (2006) used 93SNA from 1980 to 2003, but with a base year of 1997 rather than our base year of 2002.

41

alent mathematically. Thus, for comparison with our series, we use capital wedges. Figure 5 illustrates the average marginal tax rate on labor income (M M T RL) and the labor wedge. The labor wedge exceeds the marginal tax rate for the whole period. The difference rises from about five percentage points at the beginning of the period to about 15 percentage points at the end. The labor wedge increased from 1985, whereas the marginal tax rate remained unchanged at around 30%. +++ INSERT FIGURE 5 HERE. +++ Overall, the average marginal tax rate explains around 70% of the labor wedge on average. Kobayashi and Inaba (2006) and Otsu (2008) argued that the labor wedge is an important contributor to Japanese business cycles. Given their results, the average marginal tax rate is also a major factor. Increased social security burdens might cancel out the effect of tax cuts on the Japanese economy. A rise in the marginal tax rate on labor income raises the relative disutility of labor and, consequently, lowers labor supply. In addition, a negative technology shock lowers firms’ labor demands. Thus, in the lost decade, not only might slow technological progress have reduced output, but reduced labor demand and increased social security premiums might have lowered labor supply. Both would have had negative effects on the Japanese economy in the long run. The argument that tax plays an important role in explaining the economy is not new. As already mentioned, to simulate labor supply using a simple neoclassical general equilibrium model, Prescott (2004) estimated marginal 42

tax rates for the G7 countries in the periods 1970–74 and 1993–96. On the basis that model predictions are consistent with actual values, Prescott claimed that labor wedges are completely accounted for by marginal tax rates. However, we disagree with Prescott (2004) to some extent. Prescott used Mendoza et al.’s (1994) series of average tax rates for individual G7 countries, and multiplied each average rate by 1.6 to estimate the marginal rates. Prescott’s figure of 1.6 comes from empirical research on the US (Feenberg and Coutts, 1993), and is assumed to apply to all G7 countries including Japan. However, as we showed in the previous section, the ratio excluding social security premiums in Japan is about unity. Thus, we argue that the tax rate on labor income accounts for around 70% of the labor wedge in the Japanese economy. The difference between average marginal tax rates and labor wedges widened from the early 1990s. The 1988 revision of the Labor Standards Law, which reduced legal working hours, may be at least partially responsible for this difference.27 An alternative possible cause is the recent rapid accumulation of the fiscal deficit. To stimulate the economy, the Japanese government has continued not only cutting taxes but also issuing bonds. Japan’s fiscal deficit as a proportion of GDP is the highest among the OECD countries. According to the Ricardo–Barro effect, current fiscal deficits are essentially future taxes. 27

Hayashi and Prescott (2002) argued that Japan’s lost decade is explained by the 1988 revision of the Labor Standards Law as well as low productivity rather than by financial collapses. In their model, labor input is decomposed into working hours and the number of workers; therefore, their framework differs from ours. By reducing legal working hours, the law revision acts as a wedge, distorting endogenous labor input in the BCA framework.

43

Figure 6 illustrates the average marginal tax rate and the capital wedge. Whereas the marginal tax rate stays around 50%, the capital wedge fluctuates greatly, ranging from 33% to over 70%. The average of the marginal tax rate (0.55) is slightly above that of the capital wedge (0.47). The firstorder autocorrelation coefficient for the capital wedge of 0.12 suggests that fluctuations in the capital wedge could be explained by a short-run shock; an example is an unexpected monetary shock. According to Kobayashi and Inaba (2006) and Otsu (2008), the investment wedge, which is equivalent to the capital wedge, has not made any significant contribution to Japan’s business cycles. +++ INSERT FIGURE 6 HERE. +++

6

Concluding Remarks

In this paper, we have applied the method of Joines (1981) to estimate average marginal tax rates for Japan from 1963–2007. We considered both self-assessment taxpayers and withholding income taxpayers. We calculated their average marginal tax rates separately, and then combined these tax rates into a weighted average to obtain total average marginal tax rates. Moreover, we included social security tax rates, which consist of pension insurance, health insurance, employment insurance, accident compensation insurance, and long-term care insurance. We obtained the following results. The average marginal tax rates on labor incomes without social security premiums and on capital incomes both increased until the late 1980s and then fluctuated around 17% and 50%, 44

respectively. Because of increased social security payments, the tax rates with social security premiums range from 22% to 33% for the entire sample period. Average marginal tax rates on capital incomes, ranging from 35% to 58%, changed dramatically following the 1973 oil crisis and because of tax reforms. In addition, we made two comparisons. First, we compared our estimates with Mendoza et al.’s (1996) average tax rates. The average tax rates on labor incomes are similar to, and from the late 1980s were above, the average marginal tax rates with average marginal premium rates of social security. This is because taxation is progressive but social security is regressive. The average tax rates on capital incomes were slightly below the marginal tax rates for most of the sample period. This suggests that Japan’s capital tax is relatively progressive. Second, we compared our estimates with the labor and capital wedges estimated by Kobayashi and Inaba (2006). We found that marginal tax rates on labor incomes account for about 70% of the labor wedge. This implies that Prescott (2004) exaggerates the importance of taxing labor incomes. Because the difference between labor tax rates and wedges has increased, other contributory factors, such as reduced legal working hours and a rapidly accumulating fiscal deficit, should be considered. Our marginal tax rates cannot explain fluctuations in capital wedges. A future research task is as follows. It would be worthwhile computing marginal taxes from a different data source. Microeconomic data have recently become more accessible in Japan. If we obtained an adequate number of individual observations, we could construct average marginal tax 45

rates on total incomes using the nonparametric method proposed by Akhand and Liu (2002). Comparing such microeconomic-based estimates to our macroeconomic-based estimates would be intriguing.

References [1] Akhand, H., Liu, H., 2002. Marginal income tax rates in the United States: A non-parametric approach. Journal of Monetary Economics 49 (2), 383–404. [2] Barro, R. J., Sahasakul, C., 1983. Measuring the average marginal tax rate from the individual income tax. The Journal of Business 56 (4), 419–452. [3] Barro, R. J., Sahasakul, C., 1986. Average marginal tax rates from social security and the individual income tax. The Journal of Business 59 (4), 555–566. [4] Braun, R. A., Esteban-Pretel, J., Okada, T., Sudou, N., 2006. A comparison of the Japanese and U.S. business cycles. Japan and the World Economy 18, 441–463. [5] Chari, V. V., Kehoe, P. J., McGrattan, E. R., 2000. Sticky price models of the business cycle: Can the contract multiplier solve the persistence problem? Econometrica 68 (5), 1151–1179. [6] Chari, V. V., Kehoe, P. J., McGrattan, E. R., 2007a. Business cycle accounting. Econometrica 75 (3), 781–836. 46

[7] Chari, V. V., Kehoe, P. J., McGrattan, E. R., 2007b. Comparing alternative representations and alternative methodologies in business cycle accounting. Staff Report 384, Federal Reserve Bank of Minneapolis. [8] Cole, H. L., Ohanian L. E., 1999. The Great Depression in the United States from a neoclassical perspective. Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, 2–24. [9] Cooley, T. F., Hansen, G. D., 1992. Tax distortions in a neoclassical monetary economy. Journal of Economic Theory 58 (2), 290–316. [10] Christiano, L., Davis, J., 2006. Two flaws in business cycle accounting. NBER Working Paper 12647. [11] Esteban-Pretel, J., Nakajima, R., Tanaka, R., 2010. TFP growth slowdown and the Japanese labor market in the 1990s. Journal of the Japanese and International Economies 24 (1), 50–68. [12] Feenberg, D. R., Coutts, E., 1993. An introduction to the TAXSIM model. Journal of Policy Analysis and Management 12 (Winter): 189– 194. [13] Golosov, M., Tsyvinski, A., Werning, I., 2006. New dynamic public finance: A user’s guide. NBER Macroeconomics Annual 2006, 317–363. [14] Hayashi, F., Prescott, E. C., 2002. The 1990s in Japan: A lost decade. Review of Economic Dynamics 5 (1), 206–235. [15] Joines, D. H., 1981. Estimates of effective marginal tax rates on factor incomes. The Journal of Business 54 (2), 191–226. 47

[16] Kobayashi, K., Inaba, M., 2006. Business cycle accounting for the Japanese economy. Japan and the World Economy 18 (4), 418–440. [17] McGrattan, E. R., 1994. The macroeconomic effects of distortionary taxation. Journal of Monetary Economics 33 (3), 573–601. [18] McGrattan, E. R., Rogerson, R., Wright, R., 1997. An equilibrium model of the business cycle with household production and fiscal policy. International Economic Review 38 (2), 267–290. [19] McGrattan, E. R., Ohanian, L. E., 2010. Does neoclassical theory account for the effects of big fiscal shocks? Evidence from World War II. International Economic Review 51 (2), 509–553. [20] McKee, M. J., Visser, J. J. C., Saunders, P. G., 1986. Marginal tax rates on the use of labour and capital in OECD countries. OECD Economic Studies 7, 45–101. [21] Mendoza, E. G., Razin, A., Tesar, L. L., 1994. Effective tax rates in macroeconomics cross-country estimates of tax rates on factor incomes and consumption. Journal of Monetary Economics 34 (3), 297–323. [22] Prescott, E. C., 2004. Why do Americans work so much more than Europeans? Federal Reserve Bank of Minneapolis Quarterly Review 28(1), 2–13. [23] Seater, J. J., 1985. On the construction of marginal federal personal and social security tax rates in the U.S. Journal of Monetary Economics 15 (1), 121–135. 48

[24] Shimer, R., 2009. Convergence in macroeconomics: The labor wedge. American Economic Journal: Macroeconomics 1 (1), 280–297. [25] Siu, H., 2008. The fiscal role of conscription in the US World War II effort. Journal of Monetary Economics 55 (6), 1094–1112. [26] Stephenson, F. E., 1998. Average marginal tax rates revisited. Journal of Monetary Economics 41 (2), 389–409. [27] Otsu, K., 2008. Jitsubutsu keiki junkan riron to nihon keizai (Real business cycle theory and the Japanese economy, in Japanese), Kinyu Kenkyu 27 (4), 45–86.

49

Table 1: Average marginal tax rates of self-assessment income taxpayers Year 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

M T RLs0 0.2363 0.2380 0.2401 0.2302 0.2321 0.2407 0.2051 0.2044 0.1848 0.2119 0.2124 0.2238 0.2140 0.2372 0.2373 0.2463 0.2594 0.2573 0.2633 0.2757 0.2658 0.2582 0.2559 0.2705 0.2589 0.2446 0.2521 0.2590 0.2578 0.2765 0.2777 0.2344 0.2363 0.2320 0.2471 0.2624 0.2357 0.2386 0.2377 0.2393 0.2342 0.2256 0.2322 0.2463 0.2572

M T RK0s 0.5481 0.5530 0.5369 0.4903 0.5323 0.5019 0.4491 0.4668 0.4560 0.5036 0.5390 0.6880 0.5918 0.6081 0.6185 0.6591 0.6782 0.6345 0.6599 0.6744 0.6748 0.6904 0.6761 0.7135 0.7310 0.7162 0.6935 0.6475 0.6430 0.6689 0.6787 0.6629 0.7040 0.6805 0.7104 0.7171 0.6890 0.6447 0.6661 0.6384 0.6011 0.5891 0.6225 0.6304 0.6282

M T RLs1 0.2876 0.2832 0.2843 0.2720 0.2755 0.2932 0.2361 0.2326 0.2057 0.2355 0.2341 0.2429 0.2325 0.2491 0.2496 0.2546 0.2670 0.2683 0.2792 0.2877 0.2835 0.2767 0.2752 0.2967 0.2782 0.2717 0.2827 0.2886 0.2897 0.3148 0.3110 0.2641 0.2642 0.2581 0.2741 0.2840 0.2608 0.2642 0.2596 0.2637 0.2574 0.2504 0.2581 0.2748 0.2890

M T RK1s 0.4688 0.4785 0.4691 0.4236 0.4291 0.4268 0.4066 0.4272 0.4317 0.4647 0.5144 0.6328 0.5484 0.5578 0.5669 0.6026 0.6186 0.5756 0.6003 0.6242 0.6127 0.6250 0.6100 0.6456 0.6750 0.6591 0.6496 0.6095 0.5964 0.6043 0.6216 0.6007 0.6480 0.6300 0.6528 0.6694 0.6416 0.5980 0.6205 0.5953 0.5608 0.5459 0.5838 0.5919 0.5865

M T RLsθ 0.2438 0.2446 0.2458 0.2365 0.2388 0.2489 0.2103 0.2092 0.1878 0.2154 0.2155 0.2260 0.2159 0.2385 0.2387 0.2474 0.2603 0.2590 0.2656 0.2775 0.2685 0.2610 0.2590 0.2747 0.2621 0.2489 0.2570 0.2640 0.2631 0.2820 0.2821 0.2380 0.2395 0.2353 0.2502 0.2648 0.2383 0.2416 0.2402 0.2421 0.2371 0.2290 0.2355 0.2503 0.2619

M T RKθs 0.5074 0.5161 0.5040 0.4552 0.4707 0.4574 0.4270 0.4474 0.4465 0.4877 0.5300 0.6669 0.5778 0.5886 0.5988 0.6359 0.6550 0.6087 0.6359 0.6552 0.6501 0.6639 0.6487 0.6864 0.7096 0.6928 0.6767 0.6330 0.6258 0.6431 0.6584 0.6414 0.6856 0.6634 0.6914 0.7030 0.6750 0.6294 0.6520 0.6250 0.5878 0.5739 0.6094 0.6170 0.6133

Note: The series from 1963 to 1979 are based on 68SNA and the series from 1980 to 2007 are based on 93SNA.

50

Table 2: Average marginal tax rates of withholding income taxpayers Year 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

M T RLw 0 0.1623 0.1680 0.1599 0.1495 0.1457 0.1497 0.1486 0.1468 0.1466 0.1544 0.1628 0.1433 0.1312 0.1409 0.1418 0.1499 0.1612 0.1648 0.1727 0.1774 0.1790 0.1794 0.1816 0.1887 0.1912 0.1807 0.1786 0.1866 0.1925 0.1961 0.1946 0.1852 0.1725 0.1715 0.1806 0.1775 0.1715 0.1710 0.1702 0.1650 0.1617 0.1638 0.1713 0.1821 0.1745

M T RK0w 0.3542 0.3606 0.3724 0.3362 0.3411 0.3548 0.3558 0.3708 0.3987 0.3960 0.4588 0.5628 0.4697 0.4576 0.4593 0.4898 0.4883 0.4508 0.4802 0.4952 0.4851 0.4984 0.4812 0.5092 0.5369 0.5392 0.5439 0.5010 0.4807 0.4988 0.5080 0.5178 0.5724 0.5733 0.5694 0.5677 0.5750 0.5557 0.5721 0.5367 0.4932 0.4827 0.5364 0.5334 0.5245

M T RLw 1 0.1628 0.1691 0.1605 0.1500 0.1457 0.1501 0.1488 0.1469 0.1464 0.1546 0.1636 0.1433 0.1310 0.1412 0.1419 0.1503 0.1620 0.1659 0.1741 0.1787 0.1803 0.1806 0.1821 0.1893 0.1919 0.1898 0.1872 0.1959 0.2018 0.2061 0.2051 0.1955 0.1808 0.1795 0.1888 0.1858 0.1777 0.1769 0.1763 0.1717 0.1707 0.1739 0.1795 0.1923 0.1839

M T RK1w 0.3632 0.3698 0.3763 0.3370 0.3400 0.3498 0.3509 0.3668 0.3940 0.3913 0.4513 0.5541 0.4628 0.4517 0.4558 0.4842 0.4838 0.4464 0.4757 0.4910 0.4832 0.4985 0.4847 0.5127 0.5409 0.5270 0.5275 0.4874 0.4689 0.4854 0.4934 0.4984 0.5508 0.5358 0.5428 0.5451 0.5521 0.5245 0.5452 0.5055 0.4630 0.4520 0.5036 0.5023 0.4863

M T RLw θ 0.1624 0.1683 0.1600 0.1496 0.1457 0.1499 0.1487 0.1468 0.1465 0.1545 0.1630 0.1433 0.1312 0.1410 0.1418 0.1500 0.1613 0.1650 0.1730 0.1776 0.1793 0.1797 0.1817 0.1888 0.1914 0.1829 0.1806 0.1888 0.1947 0.1981 0.1965 0.1870 0.1739 0.1729 0.1820 0.1787 0.1724 0.1720 0.1711 0.1660 0.1632 0.1656 0.1727 0.1839 0.1763

M T RKθw 0.3571 0.3635 0.3735 0.3365 0.3407 0.3530 0.3539 0.3693 0.3971 0.3944 0.4564 0.5605 0.4680 0.4561 0.4584 0.4882 0.4871 0.4494 0.4790 0.4941 0.4846 0.4984 0.4822 0.5102 0.5381 0.5345 0.5378 0.4962 0.4768 0.4946 0.5037 0.5120 0.5659 0.5589 0.5597 0.5600 0.5676 0.5461 0.5646 0.5256 0.4803 0.4689 0.5237 0.5205 0.5078

Note: The series from 1963 to 1979 are based on 68SNA and the series from 1980 to 2007 are based on 93SNA.

51

Table 3: Total average marginal tax rates Year 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

α 0.1611 0.1614 0.1511 0.1526 0.1541 0.1554 0.1742 0.1773 0.1846 0.1819 0.2085 0.1309 0.1269 0.1120 0.1150 0.1283 0.1329 0.1294 0.1227 0.1252 0.1255 0.1233 0.1236 0.1269 0.1358 0.1365 0.1429 0.1440 0.1388 0.1173 0.1164 0.1083 0.1111 0.1208 0.1107 0.1078 0.1064 0.1039 0.0977 0.1012 0.1043 0.1081 0.1131 0.1111 0.1054

M T RL0 0.1742 0.1793 0.1720 0.1618 0.1590 0.1639 0.1585 0.1570 0.1536 0.1649 0.1731 0.1538 0.1417 0.1517 0.1528 0.1623 0.1742 0.1767 0.1838 0.1897 0.1899 0.1891 0.1908 0.1991 0.2004 0.1895 0.1891 0.1970 0.2016 0.2055 0.2043 0.1905 0.1796 0.1788 0.1880 0.1866 0.1783 0.1780 0.1768 0.1725 0.1693 0.1705 0.1782 0.1892 0.1832

M T RK0 0.3854 0.3916 0.3972 0.3597 0.3706 0.3777 0.3721 0.3878 0.4093 0.4155 0.4755 0.5792 0.4852 0.4744 0.4776 0.5115 0.5136 0.4746 0.5023 0.5177 0.5089 0.5221 0.5053 0.5351 0.5633 0.5633 0.5653 0.5221 0.5032 0.5188 0.5279 0.5335 0.5870 0.5863 0.5850 0.5838 0.5871 0.5649 0.5813 0.5470 0.5045 0.4942 0.5462 0.5442 0.5354

M T RL1 0.1829 0.1875 0.1792 0.1686 0.1657 0.1724 0.1640 0.1621 0.1573 0.1693 0.1783 0.1563 0.1439 0.1533 0.1543 0.1637 0.1759 0.1791 0.1870 0.1924 0.1933 0.1924 0.1936 0.2030 0.2036 0.2010 0.2009 0.2093 0.2140 0.2188 0.2174 0.2029 0.1900 0.1890 0.1983 0.1964 0.1865 0.1859 0.1844 0.1810 0.1797 0.1822 0.1884 0.2015 0.1950

M T RK1 0.3802 0.3873 0.3903 0.3502 0.3537 0.3618 0.3606 0.3775 0.4010 0.4047 0.4645 0.5644 0.4736 0.4636 0.4686 0.4994 0.5017 0.4631 0.4910 0.5077 0.4995 0.5141 0.5002 0.5295 0.5591 0.5451 0.5449 0.5049 0.4866 0.4994 0.5084 0.5095 0.5616 0.5472 0.5550 0.5585 0.5616 0.5321 0.5526 0.5146 0.4733 0.4621 0.5127 0.5123 0.4969

M T RLθ 0.1755 0.1806 0.1730 0.1629 0.1600 0.1652 0.1594 0.1579 0.1541 0.1656 0.1739 0.1541 0.1419 0.1519 0.1529 0.1625 0.1745 0.1772 0.1844 0.1901 0.1905 0.1897 0.1913 0.1997 0.2010 0.1919 0.1915 0.1997 0.2042 0.2080 0.2065 0.1925 0.1812 0.1805 0.1895 0.1880 0.1794 0.1792 0.1779 0.1737 0.1709 0.1725 0.1799 0.1913 0.1854

M T RKθ 0.3813 0.3881 0.3932 0.3546 0.3607 0.3692 0.3666 0.3831 0.4062 0.4114 0.4717 0.5744 0.4819 0.4709 0.4746 0.5072 0.5094 0.4700 0.4982 0.5142 0.5053 0.5189 0.5028 0.5325 0.5614 0.5561 0.5577 0.5159 0.4974 0.5120 0.5217 0.5260 0.5792 0.5715 0.5743 0.5754 0.5791 0.5547 0.5731 0.5356 0.4916 0.4803 0.5334 0.5312 0.5189

Note: The series from 1963 to 1979 are based on 68SNA and the series from 1980 to 2007 are based on 93SNA.

52

Table 4: Average marginal tax rates for social security Year 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

Pension insurance 0.0196 0.0211 0.0242 0.0241 0.0255 0.0251 0.0279 0.0295 0.0291 0.0290 0.0335 0.0342 0.0334 0.0388 0.0385 0.0381 0.0387 0.0440 0.0444 0.0444 0.0430 0.0454 0.0515 0.0505 0.0495 0.0502 0.0539 0.0658 0.0599 0.0580 0.0612 0.0616 0.0684 0.0710 0.0700 0.0709 0.0708 0.0705 0.0703 0.0698 0.0709 0.0710 0.0732 0.0759 0.0790

Health insurance 0.0269 0.0285 0.0233 0.0255 0.0268 0.0274 0.0279 0.0281 0.0285 0.0285 0.0298 0.0293 0.0296 0.0311 0.0314 0.0323 0.0347 0.0348 0.0362 0.0363 0.0363 0.0361 0.0362 0.0360 0.0363 0.0376 0.0382 0.0373 0.0395 0.0389 0.0389 0.0391 0.0394 0.0392 0.0400 0.0396 0.0397 0.0408 0.0404 0.0404 0.0432 0.0427 0.0430 0.0435 0.0441

Employment insurance 0.0046 0.0049 0.0051 0.0051 0.0053 0.0053 0.0050 0.0052 0.0053 0.0054 0.0054 0.0056 0.0056 0.0056 0.0055 0.0057 0.0062 0.0062 0.0063 0.0064 0.0064 0.0064 0.0065 0.0064 0.0064 0.0067 0.0068 0.0069 0.0070 0.0069 0.0057 0.0057 0.0057 0.0057 0.0057 0.0057 0.0057 0.0057 0.0086 0.0087 0.0088 0.0088 0.0090 0.0079 0.0081

53

Accident insurance 0.0042 0.0044 0.0043 0.0044 0.0043 0.0046 0.0050 0.0053 0.0066 0.0066 0.0068 0.0073 0.0090 0.0089 0.0086 0.0086 0.0087 0.0104 0.0112 0.0113 0.0111 0.0112 0.0112 0.0114 0.0114 0.0119 0.0119 0.0121 0.0125 0.0118 0.0124 0.0125 0.0105 0.0105 0.0105 0.0103 0.0104 0.0103 0.0104 0.0104 0.0086 0.0087 0.0088 0.0080 0.0081

Care insurance

0.0038 0.0069 0.0068 0.0057 0.0070 0.0080 0.0078 0.0078

M SST 0.0553 0.0588 0.0569 0.0591 0.0618 0.0624 0.0658 0.0681 0.0695 0.0695 0.0754 0.0765 0.0776 0.0843 0.0840 0.0847 0.0882 0.0953 0.0980 0.0984 0.0969 0.0991 0.1054 0.1042 0.1036 0.1064 0.1108 0.1222 0.1188 0.1155 0.1182 0.1189 0.1241 0.1264 0.1262 0.1265 0.1265 0.1311 0.1366 0.1362 0.1372 0.1383 0.1420 0.1431 0.1470

Table 5: Average marginal tax rates on labor income with social security premiums Year 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

M M T RL0 0.2295 0.2381 0.2289 0.2209 0.2208 0.2263 0.2242 0.2251 0.2231 0.2344 0.2485 0.2303 0.2193 0.2360 0.2368 0.2470 0.2625 0.2721 0.2819 0.2880 0.2867 0.2883 0.2962 0.3033 0.3040 0.2958 0.2998 0.3192 0.3204 0.3210 0.3225 0.3094 0.3037 0.3053 0.3142 0.3132 0.3048 0.3091 0.3134 0.3087 0.3065 0.3088 0.3201 0.3323 0.3303

M M T RL1 0.2382 0.2463 0.2361 0.2277 0.2275 0.2348 0.2298 0.2302 0.2268 0.2389 0.2537 0.2328 0.2215 0.2376 0.2383 0.2484 0.2642 0.2745 0.2850 0.2907 0.2901 0.2916 0.2990 0.3072 0.3072 0.3073 0.3116 0.3314 0.3327 0.3343 0.3356 0.3218 0.3141 0.3154 0.3245 0.3229 0.3131 0.3170 0.3210 0.3172 0.3170 0.3205 0.3303 0.3446 0.3420

M M T RLθ 0.2308 0.2394 0.2299 0.2220 0.2218 0.2277 0.2252 0.2260 0.2236 0.2351 0.2493 0.2305 0.2195 0.2362 0.2370 0.2472 0.2627 0.2725 0.2824 0.2885 0.2873 0.2888 0.2967 0.3039 0.3046 0.2983 0.3023 0.3218 0.3230 0.3234 0.3247 0.3114 0.3053 0.3069 0.3157 0.3145 0.3059 0.3103 0.3145 0.3099 0.3081 0.3108 0.3218 0.3344 0.3324

Note: The series from 1963 to 1979 are based on 68SNA and the series from 1980 to 2007 54 are based on 93SNA.

(a) MTRL 0.3 0.25 0.2 0.15 Self-assessment income taxpayers Withholding income taxpayers Both taxpayers

0.1 0.05

1965

1970

1975

1980

1985

1990

1995

2000

2005

(b) MTRK 0.7 0.6 0.5 0.4

Self-assessment income taxpayers Withholding income taxpayers Both taxpayers

0.3 1965

1970

1975

1980

1985

1990

1995

2000

2005

Figure 1: Average marginal tax rates without social security premiums Note: i) (a) M T RLθ and (b) M T RKθ are the total average marginal tax rates on labor and capital incomes, respectively. The series from 1963 to 1979 are based on 68SNA and the series from 1980 to 2007 are based on 93SNA. ii) All series are based on miscellaneous incomes being allocated to both capital and labor incomes according to their factor shares. Student Version of MATLAB

55

0.35

0.3

0.25

0.2

0.15

0.1

0.05 MMTRL MTRL 0

1965

1970

1975

1980

1985

1990

1995

2000

2005

Figure 2: Average marginal tax rates on labor income with social security premiums Note: Both series are based on miscellaneous incomes being allocated to both capital and labor incomes according to their factor shares.

Student Version of MATLAB

56

40

35

30

25

20

15

10

5 ATRL (Mendoza-Razin-Tesar) MMTRL 0 1965

1970

1975

1980

1985

1990

1995

Figure 3: Marginal and average tax rates on labor income Note: Our series is based on miscellaneous incomes being allocated to both capital and labor incomes according to their factor shares.

Student Version of MATLAB

57

60

50

40

30

20

10

ATRK (Mendoza-Razin-Tesar) MTRK 0 1965

1970

1975

1980

1985

1990

1995

Figure 4: Marginal and average tax rates on capital income Note: Our series is based on miscellaneous incomes being allocated to both capital and labor incomes according to their factor shares.

Student Version of MATLAB

58

50

45

40

35

30

25

20

15

10

5 Labor wedge MMTRL 0

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

Figure 5: Marginal tax rates on labor income and labor wedges Note: Our series is based on miscellaneous incomes being allocated to both capital and labor incomes according to their factor shares.

Student Version of MATLAB

59

80

70

60

50

40

30

20

10 Capital wedge MTRK 0

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

Figure 6: Marginal tax rates on capital income and capital wedges Note: Our series is based on miscellaneous incomes being allocated to both capital and labor incomes according to their factor shares.

Student Version of MATLAB

60

Discussion Paper Series

Kenji Miyazaki. †. Faculty of Economics, Hosei University. December 6, 2010. Abstract. In this paper, we estimate average marginal tax rates on factor incomes in Japan from 1963 to 2007. .... on the 1968 System of National Accounts (68SNA), which spans from 1955 to 1998; the other, based on 93SNA, which has a. 6 ...

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CIFAR IAST at the Toulouse School of Economics, Universities of Bern, ... the effect of global trade integration on cultural homogenization or the impact of technological .... 1 year old) born just before, or during, the 6 quarter period in which a .

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Centre for Research and Analysis of Migration ... Houston Department of Economics Graduate Workshop, 2007 Texas Econometrics Camp, 2009 .... we use the same identification strategy, also use state panel data, and also are concerned.

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Nov 28, 2017 - The Centre for Economic Policy Research was established in 1983 as an educational charity, to promote independent analysis and public discussion of open ..... therefore use the IMF's World Economic Outlook (WEO) database to complement

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Oct 16, 2007 - Email: [email protected], Website: www.cepr.org ..... For instance, the number of free product samples or advertising posters increases with the ...

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average level and volatility of a number of business cycle indicators in the ...... 1990 1995 2000 2005. 1600. 1800. 2000. Italy. 1990 1995 2000 2005. 130. 140.

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Jul 20, 2007 - a bill proposing an amnesty7 and a collective pardon.8 The public .... Moreover, the data set contains information concerning a large set of ...

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Jan 9, 2017 - University of Venice Ca' Foscari “Guido Cazzavillan Fellowship” (S. ..... tabulated data on the distribution of estates for almost all years from ...

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Oct 13, 2007 - 11The allocation of returns between the two parties can be endogenized using the Grossman-Hart-Moore framework (Grossman and Hart ...

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Jul 20, 2007 - private educational charity, to promote independent analysis and public .... entry into prison of inmates, which can be considered as good as random. We were granted ..... California some crime rates fall by 4 percent after sentence en

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discussion of open economies and the relations among them. It is pluralist ... assumptions of imperfect substitutability both between U.S. and foreign goods, and between U.S. and .... The second is that the government takes. 3. There is no ...

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Swedish business cycle since the mid-1990s has been closely correlated with the Euro area ..... The data were collected from various sources; see. Appendix A ...

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Mar 10, 2017 - Key factors are the transport costs of violence and the distribution of the groups .... Northern Ireland —being a rare example of a developed country ... While the data we use is specific, we believe the model of violence as an ... H

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2Under British rule, India established a system of public education; before, there were few schools and only the elite ... in English; except in the science and engineering fields, many courses are offered in Hindi or ... (Scheduled Castes) Order of

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educational charity, to promote independent analysis and public discussion of open economies and the relations among them. It is pluralist and non- partisan, bringing economic research to bear on the analysis of medium- and long-run policy questions.

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Using the network model developed by Ballester et al. ...... The following result establishes that intercentrality captures, in an meaningful way, the two ..... greedy and eliminating it at the first stage reduces the chance of finding highly central

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Dec 11, 2009 - of damaging one's goods analyzed by Deneckere and McAfee (1996). Focusing on monopoly, these authors show that the conditions under ...

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Oct 16, 2017 - This Discussion Paper is issued under the auspices of the Centre's ..... European democracies power-sharing agreements take frequently place ...

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political economy of business groups, the surprisingly small literature on groups and monopoly power, and the .... characteristics (financial or legal system, level of development etc.) and the relative .... because group firms are independent legal

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Email: [email protected], Website: www.cepr.org ... Email: [email protected] ..... There are at least three reasons why this is an interesting benchmark case.

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Sep 28, 2010 - company has obtained Government approval for foreign equity in the company; ... that the extant policy permits issuance of shares for consideration other than ... transfer/license/royalty fees etc., which is permitted at present, ...