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Microreg: A traditional tax-benefit microsimulation model extended to indirect taxes and in-kind transfers

  1. M Luisa Maitino  Is a corresponding author
  2. Letizia Ravagli  Is a corresponding author
  3. Nicola Sciclone  Is a corresponding author
  1. IRPET (Regional Institute for Economic Planning of Tuscany), Italy
Research article
Cite this article as: M. Luisa Maitino, L. Ravagli, N. Sciclone; 2017; Microreg: A traditional tax-benefit microsimulation model extended to indirect taxes and in-kind transfers; International Journal of Microsimulation; 10(1); 5-38. doi: 10.34196/ijm.00148
8 figures and 20 tables

Figures

Frequency density function for gross income – income year 2012.

Note: The total number of taxpayers is 40.5 millions.

Source: MicroReg and Ministry of Finance.

Distribution of taxpayers by gross income classes – net PIT – income year 2012.

Note: The total number of taxpayers with positive net PIT is 32.3 million.

Source: MicroReg and Ministry of Finance.

Incidence of education transfers on disposable income by equivalent household disposable income quintile – Tuscany.

Source: MicroReg.

Incidence of health transfers on disposable income by equivalent household disposable income quintile – Tuscany.

Source: MicroReg.

Variation of household disposable income and its components by equivalent disposable income quintiles – Tuscany.

Source: MicroReg.

Average value of gross income by gross income classes - income year 2012.

Source: MicroReg and Ministry of Finance.

Average value of PIT by gross income classes - income year 2012.

Source: MicroReg and Ministry of Finance.

Distribution of VAT revenue by disposable income and expenditure deciles.

Source: MicroReg.

Tables

Table 1
Validation of the estimation of cadastral value and IMU – billion euro.
Tax base (cadastral value) Total tax paid on buildings (IMU)
MicroReg Dip. Fin. and Agenzia del Territorio MicroReg Dip. Fin. and Agenzia del Territorio MEF
Dwelling house 11.6 11.4 3.8 3.3 4.0
Other buildings 5.2 9.3 6.5 9.3 19.7
Total 16.7 20.7 10.3 12.6 23.7
  1. Source: MicroReg, Agenzia del Territorio, Ministry of Finance.

Table 2
Distribution of the dwelling house and the other buildings by gross income classes.
Dwelling house MicroReg Dwelling house MEF Other buildings MicroReg
Gross income classes (euro) Households (%) with positive cadastral value Mean cadastral value (euro) Households (%) with positive cadastral value Mean cadastral value (euro) Households (%) with positive cadastral value Mean cadastral value (euro)
Until 2,500 31.5 415 27.3 452 19.5 374
2,501 to 5,000 32.4 383 18.4 432 17.9 390
5,001 to 10,005 47.3 448 26.9 405 23.8 340
10,006 to 15,000 48.2 474 40.5 430 26.7 379
15,001 to 26,000 54.9 484 48.4 445 27.9 376
26,001 to 29,000 64.5 535 59.9 492 35.9 419
29,001 to 35,000 66.6 544 64.2 526 40.3 480
35,001 to 50,000 67.5 585 67.8 592 41.4 586
50,001 to 60,000 64.9 647 69.8 683 45.9 743
60,001 to 70,000 71.1 775 70.7 730 45.9 626
70,001 to 100,000 72.4 797 72.0 796 53.1 862
100,101 to 150,000 74.2 750 72.8 916 57.3 871
150,001 to 200,000 82.6 816 72.0 1,056 65.7 947
Over 200,000 69.9 807 69.7 1,322 66.4 1564
Total 52.3 501 43.8 491 28.8 435
  1. Source: MicroReg and Ministry of Finance.

Table 3
Taxpayers by prevailing income source (millions).
MicroReg MEF Diff. (%)
Employee income 20.02 20.02 0.0
Retirement income 14.22 14.22 0.0
Self-employed income 4.60 4.60 0.0
Other sources of income 1.69 1.68 0.3
Total 40.54 40.53 0.0
  1. Source: MicroReg and Ministry of Finance.

Table 4
Validation of the model – income year 2012 (billion euro).
MicroReg MEF Diff. (%)
Gross income 790.9 800.4 −1.2
Deductions 23.7 24.0 −1.2
Taxable income 767.2 773.6 −0.8
Gross PIT 205.1 208.2 −1.5
Tax credits by income source 41.5 41.6 −0.3
Family tax credits 11.7 11.5 2.3
Net PIT 151.3 152.3 −0.6
Regional additional income tax 11.0 11.0 −0.5
  1. Source: MicroReg and Ministry of Finance.

Table 5
Redistributive indexes.
PIT Regional additional income tax Total
Pre-tax Gini 0.4234 0.4234 0.4234
Post-tax Gini 0.3714 0.4223 0.3692
Average tax rate 0.1913 0.0139 0.2051
Reynolds-Smolensky net redis. effect 0.052 0.0011 0.0543
Kakwani progressivity index 0.2223 0.0769 0.2125
Reranking 0.0005 0.0000 0.0006
  1. Source: MicroReg.

Table 6
Food share by geographical area.
Area Expenditure (euro) Income (euro) Food share
North West 487.5 2,454.80 0.1986
North East 446.1 2,450.70 0.182
Centre 504.3 2,356.50 0.214
South 506.7 1,893.80 0.2675
Italy 488.7 2,259.20 0.2163
  1. Source: MicroReg.

Table 7
Propensity to consume by income deciles.
Decile Italy
0 1.26
1 1.07
2 0.96
3 0.93
4 0.87
5 0.83
6 0.78
7 0.76
8 0.69
9 0.56
Total 0.92
  1. Source: MicroReg.

Table 8
VAT tax base and revenue (billion euro).
VAT rate Tax base Tax revenue
4% 77.9 3.1
10% 166.8 16.7
22% 174.2 38.3
Total 418.8 58.1
  1. Source: MicroReg.

Table 9
Redistributive indexes.
VAT rate 4% 10% 22% Total
Pre-tax Gini 0.3009 0.3009 0.3009 0.3009
Post-tax Gini 0.3017 0.3040 0.3059 0.3102
Average Tax Rate 0.0039 0.0208 0.0470 0.0717
Reynolds-Smolensky net redis. effect −0.0008 −0.0031 −0.0050 −0.0093
Kakwani progressivity index −0.2116 −0.1426 −0.0931 −0.1139
Re-ranking 0.0000 0.0001 0.0004 0.0005
  1. Source: MicroReg.

Table 10
Redistributive indexes for in-kind transfers – Tuscany.
Pre-transfer Gini Post-transfer Gini Avg. tax rate Reynolds-Smolensky net redis. effect Kakwani Progressivity index Re-ranking
Pre-school 0.2838 0.2825 0.0050 0.0013 0.3186 0.0002
Primary school 0.2838 0.2808 0.0113 0.0030 0.3268 0.0006
Middle school 0.2838 0.2814 0.0068 0.0024 0.4062 0.0004
High school 0.2838 0.2776 0.0134 0.0062 0.5221 0.0007
Total school 0.2838 0.2712 0.0365 0.0126 0.4122 0.0019
University 0.2838 0.2824 0.0127 0.0014 0.2165 0.0014
Pharmaceutical services 0.2838 0.2802 0.0147 0.0036 0.2585 0.0001
Outpatient services 0.2838 0.2806 0.0129 0.0032 0.2544 0.0001
Hospital services 0.2838 0.2792 0.0305 0.0047 0.3250 0.0050
Total health services 0.2838 0.2731 0.0582 0.0107 0.2924 0.0054
  1. Source: MicroReg.

Table 11
Fiscal bonus scheme.
Income (euro) Fiscal bonus (euro)
Under 24,000 960
Between 24,000 and 26,000 960* [1−(income−24,000)/(26,000–24,000)]
Over 26,000 0
  1. Source: Stability Law for 2015.

Table 12
VAT rates: safeguard clause.
Year Ordinary rate Decreased rate
2015 22% 10%
2016 24% 12%
2017 25% 13%
2018 25.5% 13%
  1. Source: Stability Law for 2015.

Table 13
Education and health expenditure (million euro) — Italy.
Year School University Health
2013 41,899 6,997 110,044
2016 41,028 6,931 113,372
  1. Source: DEF 2015 and budget of the State.

Table 14
Redistributive indexes – Tuscany.
Gini Theil
Original disposable income 0.2836 0.1450
Disposable income with VAT increase 0.2851 0.1470
Disposable income with fiscal bonus 0.2815 0.1426
Disposable income with variation in school expenditure 0.2838 0.1451
Disposable income with variation in university expenditure 0.2836 0.1450
Disposable income with variation in health expenditure 0.2834 0.1447
Final disposable income 0.2829 0.1445
  1. Source: MicroReg.

Table A.1
Validation of the model - income year 2012 (billion euro).
Gross income Deductions Taxable income Gross PIT
Micro Reg MEF Micro Reg MEF Micro Reg MEF Micro Reg MEF
Piedmont 67.5 66.8 2.0 2.1 65.5 64.4 17.5 17.3
Aosta valley 2.1 2.1 0.1 0.1 2.1 2.0 0.6 0.5
Lombardy 164.5 163.6 5.0 5.1 159.5 157.6 44.0 44.0
Liguria 23.8 25.1 0.7 0.8 23.1 24.2 6.3 6.5
Trento 8.4 8.3 0.3 0.3 8.2 8.0 2.2 2.1
Bolzano 8.5 8.8 0.3 0.3 8.2 8.5 2.2 2.3
Veneto 69.9 71.8 2.0 2.6 67.9 69.0 18.1 18.5
Friuli Venezia Giulia 18.2 19.0 0.5 0.6 17.7 18.4 4.6 4.9
Emilia Romagna 71.4 70.9 2.1 2.5 69.3 68.0 18.6 18.4
Tuscany 54.1 54.4 1.6 1.8 52.5 52.3 13.8 14.0
Umbria 11.6 11.8 0.3 0.4 11.3 11.4 2.9 3.0
Marche 19.7 20.6 0.6 0.8 19.1 19.8 5.0 5.2
Lazio 84.3 83.2 2.6 1.9 81.6 80.7 22.5 22.6
Abruzzo 14.2 15.3 0.4 0.4 13.8 14.9 3.5 3.9
Molise 3.1 3.3 0.1 0.1 3.0 3.2 0.8 0.8
Campania 49.3 50.5 1.5 1.1 47.8 49.3 12.6 12.9
Apulia 38.2 39.0 1.1 1.0 37.0 38.1 9.3 9.8
Basilicata 5.1 5.7 0.2 0.2 4.9 5.5 1.3 1.4
Calabria 18.4 17.0 0.6 0.4 17.8 16.7 4.6 4.2
Sicily 39.4 45.0 1.2 1.0 38.2 44.2 9.7 11.4
Sardinia 19.2 17.9 0.6 0.5 18.7 17.5 4.9 4.5
Total 790.9 800.4 23.7 24.0 767.2 773.6 205.1 208.2
  1. Source: MicroReg and Ministry of Finance.

Table A.2
Validation of the model - income year 2012 (billion euro).
Tax credits by income source Family tax credits Net PIT Regional additional income tax
MicroReg MEF MicroReg MEF MicroReg MEF MicroReg MEF
Piedmont 3.2 3.2 0.8 0.7 13.3 12.9 1.0 1.0
Aosta valley 0.1 0.1 0.0 0.0 0.4 0.4 0.0 0.0
Lombardy 7.0 6.9 1.7 1.6 34.8 34.0 2.2 2.2
Liguria 1.2 1.2 0.2 0.2 4.8 4.9 0.3 0.3
Trento 0.4 0.4 0.1 0.1 1.7 1.5 0.1 0.1
Bolzano 0.3 0.4 0.1 0.1 1.8 1.8 0.0 0.1
Veneto 3.5 3.6 0.9 0.9 13.5 13.5 0.8 0.8
Friuli Venezia Giulia 0.9 1.0 0.2 0.2 3.5 3.6 0.2 0.2
Emilia Romagna 3.3 3.4 0.7 0.7 14.4 13.7 1.1 1.1
Tuscany 2.7 2.8 0.7 0.6 10.3 10.3 0.6 0.6
Umbria 0.7 0.7 0.1 0.2 2.0 2.1 0.1 0.1
Marche 1.2 1.2 0.3 0.3 3.5 3.6 0.2 0.3
Lazio 3.9 3.6 1.1 1.0 17.4 17.6 1.3 1.3
Abruzzo 1.0 1.0 0.3 0.3 2.3 2.6 0.2 0.2
Molise 0.2 0.2 0.1 0.1 0.5 0.5 0.1 0.1
Campania 3.3 3.2 1.9 1.4 8.2 8.6 0.9 0.9
Apulia 2.6 2.7 1.1 1.0 5.9 6.3 0.5 0.5
Basilicata 0.4 0.4 0.2 0.1 0.8 0.9 0.1 0.1
Calabria 1.4 1.4 0.4 0.4 2.9 2.7 0.3 0.3
Sicily 3.0 3.1 1.5 1.2 5.8 7.5 0.6 0.7
Sardinia 1.1 1.1 0.4 0.3 3.4 3.1 0.2 0.2
Total 41.5 41.6 12.8 11.5 151.3 152.3 11.0 11.0
  1. Source: MicroReg and Ministry of Finance.

Table A.3
VAT tax base and revenue (billion euro).
Tax base Tax revenue
Region/VAT rate 4% 10% 22% Total 4% 10% 22% Total
Piedmont 6.5 14.1 13.7 34.3 0.3 1.4 3.0 4.7
Aosta valley 0.2 0.4 0.4 1.0 0.0 0.0 0.1 0.1
Lombardy 14.5 32.2 33.7 80.4 0.6 3.2 7.4 11.2
Bolzano 0.7 1.5 1.8 4.0 0.0 0.1 0.4 0.6
Trento 0.7 1.6 1.7 4.0 0.0 0.2 0.4 0.6
Veneto 6.2 14.3 15.6 36.1 0.2 1.4 3.4 5.1
Friuli Venezia Giulia 1.7 3.8 4.2 9.6 0.1 0.4 0.9 1.4
Liguria 2.4 5.1 5.1 12.6 0.1 0.5 1.1 1.7
Emilia Romagna 5.8 13.9 15.1 34.8 0.2 1.4 3.3 4.9
Tuscany 5.2 10.9 11.8 27.9 0.2 1.1 2.6 3.9
Umbria 1.2 2.4 2.6 6.2 0.0 0.2 0.6 0.9
Marche 2.0 4.1 4.3 10.3 0.1 0.4 0.9 1.4
Lazio 8.0 17.1 19.1 44.2 0.3 1.7 4.2 6.2
Abruzzo 1.6 3.3 3.5 8.3 0.1 0.3 0.8 1.2
Molise 0.4 0.8 0.7 1.8 0.0 0.1 0.2 0.2
Campania 6.0 11.9 11.6 29.5 0.2 1.2 2.5 4.0
Apulia 4.5 9.0 8.8 22.2 0.2 0.9 1.9 3.0
Basilicata 0.6 1.3 1.3 3.2 0.0 0.1 0.3 0.4
Calabria 2.3 4.5 4.5 11.3 0.1 0.4 1.0 1.5
Sicily 5.6 10.6 10.4 26.6 0.2 1.1 2.3 3.6
Sardinia 2.1 4.1 4.3 10.5 0.1 0.4 0.9 1.4
Total 77.9 166.8 174.2 418.8 3.1 16.7 38.3 58.1
  1. Source: MicroReg.

Table A.4
Test t for mean difference — EU-SILC vs HBS — Centre of Italy.
EU-SILC HBS
Variable Mean Standard Deviation Min Max Mean Standard Deviation Min Max
Number of rooms 3.4 36.15 1 6 4.26 40.08 1 6
Loan 0.16 12.28 0 1 0.17 12.84 0 1
Number of members 2.28 39.82 1 5 2.25 40.29 1 6
Pc 0.61 16.36 0 1 0.64 16.3 0 1
Internet 0.57 16.62 0 1 0.59 16.73 0 1
Car 0.81 13.24 0 1 0.83 12.72 0 1
Dishwasher 0.51 16.77 0 1 0.61 16.59 0 1
Expenditure 23,850 363,619 7303 185,488 26,369 721,718 2,657 321,923
Number of members <5 years old 0.14 13.37 0 3 0.11 12.42 0 3
Number of members 617 years old 0.25 19.67 0 4 0.26 20.1 0 4
Number of members 1824 years old 0.15 14.31 0 3 0.14 13.57 0 3
Number of members 3469 years old 1.12 28.42 0 4 1.18 27.91 0 4
Householder with low education 0.52 16.77 0 1 0.51 16.99 0 1
Number of managers 0.02 4.9 0 2 0.03 6.57 0 3
Number of self-employed 0.05 7.87 0 3 0.08 10.53 0 3
In property 0.86 11.79 0 1 0.85 12.02 0 1
Number of earners 1.39 26.58 0 5 1.44 25.5 0 5
P-value 0.9439473
  1. Source: our elaborations on HBS and EU-SILC.

Table A.5
Test X2 for equality of distribution - EU-SILC vs. HBS.
EU-SILC HBS
Geographical area % %
North West 7,251,965 28.3 7,270,064 28.34
North East 5,068,067 19.78 5,055,184 19.71
Centre 5,280,629 20.61 5,241,862 20.44
South 8,023,134 31.31 8,083,272 31.51
P-value 1
EU-SILC HBS
Number of components % %
1 8,281,042 32.32 8,391,562 32.715
2 6,762,685 26.39 6,801,077 26.515
3 5,045,371 19.69 4,841,819 18.876
4 4,226,780 16.5 4,331,686 16.887
5 1,028,286 4.01 1,023,989 3.992
6 202,530 0.79 199,543 0.778
7 52,711 0.21 45,463 0.177
8 15,078 0.06 13,698 0.053
9 6,810 0.03 1,249 0.005
10 2,410 0.01 296 0.001
P-value 1
EU-SILC HBS
Number of earners % %
0 3,956,170 15.44 2,506,273 9.95
1 13,124,349 51.22 13,378,643 53.13
2 7,109,135 27.74 8,125,715 32.27
3 1,197,490 4.67 1,009,751 4.01
4 215,988 0.84 148,021 0.59
5 20,662 0.08 13,492 0.05
P-value 0.554
EU-SILC HBS
Number of females % %
0 3,703,284 14.45 3,868,724 15.36
1 14,672,359 57.26 14,380,843 57.11
2 5,418,932 21.15 5,315,662 21.11
3 1,615,631 6.31 1,426,684 5.67
4 191,205 0.75 171,297 0.68
5 17,507 0.07 18,684 0.07
6 4,183 0.02 n/a or 0 ? n/a or 0 ?
7 693 0 n/a or 0 ? n/a or 0 ?
P-value 1
  1. Source: Our elaborations on HBS and EU-SILC.

Table A.6
Regression of consumption on households’ characteristics.
Number of observations 19,988
R squared 0.366
R- squared corr. 0.365
Variable DF Parameter estimate Standard Error T statistic Pr > |t| Vif
Intercept 1 9.08 0.02 483.94 <.0001 0
Number of rooms 1 0.04 0 10.78 <.0001 1.26
In property 1 -0.26 0.01 -22.41 <.0001 1.17
VHS 1 0.08 0.01 9.54 <.0001 1.14
Loan 1 0.11 0.01 8.43 <.0001 1.14
Box 1 0.13 0.01 14.37 <.0001 1.22
Pc 1 0.14 0.02 8.9 <.0001 4.15
Car 1 0.27 0.01 23.11 <.0001 1.51
Internet 1 0.09 0.02 5.7 <.0001 3.81
Dishwasher 1 0.18 0.01 19.54 <.0001 1.33
Number of members <5 years old 1 0.03 0.01 2.49 0.013 1.22
Number of members 6–17 years old 1 0.03 0.01 4.26 <.0001 1.56
Number of members 18–24 years old 1 0.05 0.01 3.93 <.0001 2.41
Number of members 25–34 years old 1 -0.01 0.01 -0.74 0.461 2.19
Number of members 34–69 years old 1 0.03 0.01 3.93 <.0001 3.03
Householder with low education 1 -0.08 0.01 -5.66 <.0001 3.1
Number of males 1 0.02 0.01 2.91 0.004 2.46
Number of job seekers 1 -0.07 0.01 -5.71 <.0001 2.19
Number of retired 1 0.04 0.01 4.52 <.0001 2.39
Number of not employed 1 0 0.01 0.23 0.82 3.18
Number of managers 1 0.12 0.02 5.4 <.0001 1.06
Number of self-employed 1 0.08 0.01 5.22 <.0001 1.1
Number of members with high education 1 0.11 0.01 10.78 <.0001 2.22
Number of members with medium education 1 0.04 0.01 4.82 <.0001 3.69
Number of earners 1 0.08 0.01 7.45 <.0001 4.37
  1. Source: Our elaborations on HBS.

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