Merz: The Distribution of Income of Self-employed, Entrepreneurs and Professions
17
Table 4: Redistributional Effects of Taxation in Germany 1992: Employees
and Self-Employed (Entrepreneurs and Professionals*)
All Working |
Employees |
Entrepreneurs |
Professions* | |
Mean |
-22,0 |
-19,7 |
-32,6 |
-34,4 |
Gini |
-9,0 |
-7,1 |
-9,7 |
-9,9 |
Atkinson-Index | ||||
? = 1 |
-13,3 |
-11,1 |
-13,5 |
-14,1 |
? = 2 |
-3,0 |
-2,8 |
-3,3 |
-5,0 |
Quintile Shares (%) | ||||
1. Quintile |
20,5 |
16,2 |
43,6 |
44,1 |
2. Quintile |
11,7 |
8,2 |
34,7 |
27,3 |
3. Quintile |
6,8 |
3,7 |
26,4 |
18,9 |
4. Quintile |
4,2 |
1,4 |
19,2 |
9,4 |
5. Quintile |
-7,3 |
-5,3 |
-9,0 |
-10,1 |
90/10 ratio |
-30,3 |
-24,4 |
-39,9 |
-42,8 |
R(%) |
-8,4 |
-5,9 |
-13,6 |
-11,7 |
k (DM) |
-3.950 |
-2.486 |
-12.424 |
-15.557 |
Net income = individual taxable income minus fixed income tax (yearly)
All working = employees and self-employed (entrepreneurs and professions*);
not included: income predominant from capital assets, let and lease, other sources
Self-employed are divided in entrepreneurs (with profit income from agriculture and forestry and from
trading) and in professions* here as the independent (the number of independent
persons are by far dominated by the number of professions (Freie Berufe)
k = redistributional effect in DM
R = k/mean: redistributional effect as % of mean gross income (=2(Gini(nett)-Gini(gross))*100
Source: Income Tax Statistic 1992, Sample of Individual Incomes and Taxes,
Federal Statistical Office 1999, 1995; Own calculations
The above measures show different impacts with regard to different part of the income
distribution. An overall redistributional and easily to be interpretable measure is the k-
measure by Blackburn 1989. Blackburn considers a simple redistributive scheme: to
every income unit below the median level of income an equal-sized, lump-sum tax, is
applied while transferring the value of the lump-sum tax to every unit above the median
(or vice versa). The redistributional effect, the impact here of the taxation system then is
that value of the lump-sum as a percentage of the mean level of before tax income. As
Blackburn (1989) has shown the respective index partitioning is valid only for the Gini-
coefficient resulting in
(1) R = k/mean before tax = 2(Gini after tax - Gini before tax)
The redistributional impacts of the German tax system 1992 are: R% from mean taxable
income, or equivalent k DM, is the lump-sum necessary to make the net income
distribution - after imposing the tax system - equally distributed (same inequality index)
as 'gross' taxable income: for employees R= -5,9% (k = -2.486 DM), for entrepreneurs
R = -13,6 % (k = -12.424 DM) and for professions* R = -11,7%
(k = -15.557 DM) is the necessary amount every person above the median had to
transfer to the persons below the median to achieve the same distributional measure
before and after.
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