1. Dynamic microsimulation
  2. Methodology
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The Italian Treasury Dynamic Microsimulation Model: Data, Structure and Validation

  1. Riccardo Conti  Is a corresponding author
  2. Michele Bavaro
  3. Stefano Boscolo
  4. Elena Fabrizi
  5. Chiara Puccioni
  6. Simone Tedeschi
  1. Sogei S.p.A, Italy
  2. Department of Social Policy and Intervention and Institute for New Economic Thinking, United Kingdom
  3. Department of Economics, Management and Quantitative Methods, Italy
  4. Department of Political Sciences, Italy
  5. Economic Research Department, Italy
  6. Department of Economics and Law, Italy
Research article
Cite this article as: R. Conti, M. Bavaro, S. Boscolo, E. Fabrizi, C. Puccioni, S. Tedeschi; 2024; The Italian Treasury Dynamic Microsimulation Model: Data, Structure and Validation; International Journal of Microsimulation; 17(1); 23-68. doi: 10.34196/ijm.00303
17 figures and 22 tables

Figures

Modular structure of T-DYMM
Structure of the Labour Market module
Structure of the Pension module, work-related public pensions (first pillar)
Structure of the Pension module, private pensions (second and third pillars)
Structure of the Wealth module. Note: If individuals do not sell or buy a house, they move to financial investment decisions and subsequent processes.
Sample evolution, individuals and households. Note: Reference statistics for individuals are not reported since we align all dimensions that have an impact on the number of individuals in future years (i.e. fertility, mortality and migrations). For average members per household, in accordance with ISTAT, figures for period t are computed as the average of t and t-1 and rounded to the first decimal. Source: Authors’ elaborations of simulation results and ISTAT statistics.
Repartition by work category. Note: Working pensioners are not considered. ISTAT statistics enable the validation of work categories at a more aggregate level compared with T-DYMM’s outputs. We observe that simulation results adhere almost perfectly to reference statistics in the period 2018–2020, while there are no disaggregated statistics for previous years. Further details are available upon request to the authors. Source: Authors’ elaborations of simulation results and ISTAT statistics.
Old-age/seniority, survivor and incapacity pension recipients in 2017 by gender and age. Note: Individuals between ages 55 and 95 are included. The reference distribution is derived from INPS micro data on pensions (the same data employed for AD-SILC but relative to the last year available). Source: Authors’ elaborations of simulation results and INPS micro data.
Average retirement age and aggregate replacement ratio by gender. Note: Lowess smoothing for T-DYMM average retirement ages excluding ‘Old age 3’ pensioners. The reference values for the average retirement age derive from the Italian State General Accounting Department (Ragioneria Generale dello Stato, RGS) statistics, while they refer to Eurostat statistics for the aggregate replacement ratio. Source: Authors’ elaborations of simulation results, RGS statistics and Eurostat statistics.
Wealth inequality and accumulation. Note: The reference net wealth amount is the sum of the following wealth components: dwellings, currency and deposits, debt securities, shares and other equity, derivatives, mutual fund shares and loans (negative value). See BI and ISTAT (2022) for further details. Gross income is the sum of gross income subject to PIT, self-employment income under substitute tax regimes and rental income that pays the cedolare secca. Source: Authors’ elaborations of simulation results, DF statistics and NA statistics.
Frequency density function for gross income (values in thousands of euros on the horizontal axis). Note: Gross income is the sum of gross income subject to PIT and rental income subject to the cedolare secca. Source: Authors’ elaborations of simulation results and DF statistics.
Distribution of PIT taxpayers by gross income group (values in thousands of euros on the horizontal axis). Note: Gross income is the sum of gross income subject to PIT and rental income subject to the cedolare secca. Source: Authors’ elaborations of simulation results and DF statistics.
Gini index for equivalised income definitions by age group. Source: Authors’ elaborations of simulation results and Eurostat statistics.
At-risk-of-poverty rate by age group. Source: Authors’ elaborations of simulation results and Eurostat statistics.
Distributions employed in the calibration of IT-SILC weights (individuals in millions on the horizontal axis). Note: i) distribution of the population at the macro-regional level by gender and fourteen age groups; ii) distribution of the population at the regional level by gender and five age groups; iii) distribution of the foreign population at the macro-regional level by gender; iv) distribution of the population at the macro-regional level by demographic size of the municipality of residence. Source: Authors’ elaborations of AD-SILC 2015 and ISTAT statistics.
Distribution of the population by gender and one-year age group (individuals in millions on the horizontal axis). Source: Authors’ elaborations of AD-SILC 2015 and ISTAT statistics.
Frequency density function for gross income (values in thousands of euros on the horizontal axis). Note: Gross income is the sum of gross income subject to PIT and rental income subject to the cedolare secca. Source: Authors’ elaborations of AD-SILC 2015 and DF statistics.

Tables

Table 1
Aligned processes in T-DYMM.
ModuleProcessSource
Demographic moduleFertility, mortality, immigration and emigration flowsISTAT (historical data) and Eurostat - Europop 2019 projections
Education, age of exit from original household, informal and formal marriages, divorcesISTAT and OECD (for education achievements of immigrants)
Labour Market moduleEmployment rate, inflation growth, GDP growth, productivity growthISTAT (historical data) and European Commission 2022 Spring Forecasts and Working Group on Ageing Populations and Sustainability (AWG) assumptions
Take-up rate of unemployment benefitsINPS
Quota of permanent public employeesISTAT
Pension moduleNumber of disability allowances and incapacity pensionsINPS
Enrolment in private pension plansItalian Supervisory Authority on Pension funds (COVIP)
Wealth moduleHouseholds that pay rentDepartment of Finance
Returns on financial and housing assetsEuropean Commission 2022 Spring Forecasts and AWG assumptions, Italian Housing Observatory (Osservatorio del Mercato Immobiliare, OMI) and Standard & Poor’s (S&P) 500
Houses sold and bought, average propensity to consumeISTAT
Tax-Benefit moduleBeneficiaries of selected tax expenditures and substitute tax regimesDepartment of Finance
Take-up rates of specific social assistance measuresINPS
Table 2
Eligibility requirements for retirement as simulated in T-DYMM.
CriteriaRegimeRequirements2022
Old age 1NDCage64 years
seniority20 years
amount2.8*assegno sociale
Old age 2NDC, mixedage67 years
NDC, mixedseniority20 years
NDCamount1.5*assegno sociale
Old age 3NDCage71 years
seniority5 years
SeniorityNDC, mixedseniority, males42 years, 6 months
seniority, females41 years, 6 months
Seniority - young workersmixedseniority41 years, 12 months accrued before turning 19
Seniority - Quota 100/102mixedage62/64 years
seniority38 years
  1. Note: The assegno sociale is the social allowance for the elderly. Since 2018, age requirements are aligned with ‘Old age 2’. Concerning ‘Old age 2’ seniority requirement, 15 years suffice for workers with at least 15 years of seniority as of Dec 31, 1992. For 2022, ‘Seniority - Quota 102’ replaces ‘Quota 100’ and the age requirement rises to 64.

Table 3
Projected rate of nominal returns adopted in the Wealth module.
Wealth componentGain2016–20212022–2070
House wealthIncome gainOMIProjections based on OMI
Government bondsIncome gainImplicit rate of return on public debt, Italian Treasury DepartmentImplicit rate of return on public debt, EU Commission
Corporate bondsIncome gainS&P 500Implicit rate of return on public debt, EU Commission
Capital gainS&P 500Projections based on S&P 500*
StocksIncome gainS&P 500Implicit rate of return on public debt, EU Commission
Capital gainS&P 500Mark-up stocks–bonds*
MortgagesLong-term interest rate, Italian Treasury DepartmentLong-term interest rate, EU Commission
  1. *

    For the 2022–2023 period a linear convergence is applied to ensure a smoother transition from historical data to long-term assumptions.

Table 4
SICs and taxes simulated in T-DYMM.
SICs
Employer social insurance contributions
Employee social insurance contributions
Contributions paid by self-employed workers
Proportional taxes and tax regimes that substitute the personal income tax for:
i) Capital income: government/corporate bonds and sharesa
ii) Private pensions: Pillars II and IIIb
iii) Self-employment income subject to substitute tax regimes (regime fiscale di vantaggioc or regime forfetariob)
iv) Rental income subject to cedolare secca (assigned to the head of the household)b
v) Productivity bonusesb
Personal income tax (Imposta sul reddito delle persone fisiche – IRPEF)d
  1. Note: The order of appearance follows the module sequence: a) The ‘Financial investment decision’ process is modelled through dynamic regressions based on SHIW data (see Section 3.4). b) Recipients are aligned with aggregate administrative data in the 2016–2020 interval, while from 2021 onwards we align recipients by taking as reference the external totals as of 2020 and updating them with: the population growth at the individual level for ii; the population growth of self-employed workers for iii; the population growth at the household level for iv; and the population growth of employees for v. c) Recipients are bound to gradually diminish to zero under current legislation. We assume that there are no recipients by 2030. d) Recipients of residual tax expenditures are aligned with external totals derived from tax return micro data for the 2015 tax period, annually updated to the population growth of recipients of gross income subject to PIT.

Table 5
In-cash benefits simulated in T-DYMM.
Unemployment benefits (NASpI and DIS-COLL)a,b
In-work bonus for employees and atypical workers (Bonus IRPEF, which has replaced Bonus 80 euro)
Means-tested disability allowances (Pensione di inabilità agli invalidi civili up to the standard pensionable age and Assegno sociale sostitutivo afterward)c
Non-means-tested disability allowances (Indennità di accompagnamento for those aged 18 or above and Indennità di frequenza for those aged under 18)c
War pensions and indemnity annuities (Rendite indennitarie)d
14th month pensiond (Quattordicesima)
Social allowance for the elderly and related increases (Assegno sociale and Maggiorazioni sociali)
Increases to old-age/seniority, survivor and incapacity integrated pensions (Maggiorazioni sociali del minimo)e
Family allowances for employees’ and pensioners’ households (Assegni al nucleo familiare – ANF, up to 2021 for households with dependent children)f
Newborn bonus (Bonus bebè, up to 2021)
Mother bonus (Bonus mamma domani, from 2017 to 2021)
Universal unique allowance (Assegno unico e universale – AUU, from 2022 onwards)g,h
Minimum income schemes:b,h
- SIA (Sostegno all’inclusione attiva, 2017)
- REI (Reddito di inclusione, 2018)
- RdC (Reddito di cittadinanza, from 2019 onwards)
  1. Note: The order of appearance follows the module sequence. a) Unemployment benefits are actually simulated prior to the Tax-Benefit module because they are subject to the personal income tax. b) For the first two years of the simulation, administrative totals are employed for the alignments. From the latest available figures onwards, the ratio between actual (administrative data) and potential (obtained from T-DYMM’s simulations) recipients is kept constant. c) The average probabilities of receiving disability allowances are aligned by gender and five-year age group with the INPS statistics available for the period 2016–2020; beyond 2020, probabilities are projected following the same logic adopted for disability probabilities (which in turn follow the Reference Scenario of the 2021 Ageing Report). d) Recipients in T-DYMM’s base-year sample will hold these benefits until death. New occurrences are not simulated. e) Integrations to old-age/seniority, survivor and inability pensions (Integrazione al trattamento minimo) are included among pension benefits subject to PIT and thus not listed in the above table. f) ANF continue to be granted to households without children – but conditional to specific requirements in terms of household members and their disability status – following the introduction of AUU. g) The new allowance has replaced family allowances for employees’ and pensioners’ households, the newborn bonus, the mother bonus, family allowances granted at the municipal level (not simulated) and PIT tax credits for dependent children under the age of 21. h) In the simulation of AUU and minimium income schemes, we grant benefits for twelve months in a year following first introduction.

Table A1.1
Comparison between sample totals and external totals for selected distributions.
Variable(1)
IT-SILC totals
(2)
T-DYMM totals
(3)
External totals
(1)/(3)(2)/(3)
Individuals60,323,12660,631,40860,665,5510.9940.999
Households (in thousands)25,82125,42925,3861.0171.002
Ratio individuals/households2.3362.3842.3900.9770.998
Foreign population by gender, area of birth and educational attainment:
Female – EU – Upper secondary566,866540,119532,9511.0641.013
Female – EU – Tertiary140,621186,397194,0040.7250.961
Female – non-EU – Upper secondary689,547706,173695,2960.9921.016
Female – non-EU – Tertiary311,078307,186302,4851.0281.016
Male – EU – Upper secondary287,465334,650345,2200.8330.969
Male – EU – Tertiary93,37361,28563,0901.4800.971
Male – non-EU – Upper secondary609,550572,669573,0951.0640.999
Male – non-EU – Tertiary151,188205,723206,2350.7330.998
Population by number of household members (in thousands):
18,3698,0328,0161.0441.002
214,33213,86613,8381.0361.002
315,14115,04315,1111.0020.995
416,11216,07516,2000.9950.992
54,8905,4005,2900.9241.021
6 or more1,4782,2142,2110.6681.001
Individuals with retirement income at the macro-regional level by gender:
North West – Female2,218,0882,367,9792,378,6350.9330.996
North East – Female1,546,3221,675,7931,675,8120.9231
Middle – Female1,599,1791,667,4011,671,0850.9570.998
South – Female1,701,6241,753,3521,766,0320.9640.993
Islands – Female834,713835,608832,5851.0031.004
North West – Male1,993,3362,033,8382,059,4970.9680.988
North East – Male1,473,8231,498,0421,479,6150.9961.012
Middle – Male1,443,6071,485,0731,486,3150.9710.999
South – Male1,608,3041,593,6561,616,7620.9950.986
Islands – Male796,957787,546795,2881.0020.990
Individuals with retirement income by gender and six age groups:
Female – 0-54564,506600,895604,6750.9340.994
Female – 55-641,023,1411,067,0151,072,6650.9540.995
Female – 65-691,443,9271,487,8701,488,1050.9701
Female – 70-741,208,4791,276,2981,269,7070.9521.005
Female – 75-791,264,0501,348,5171,364,2520.9270.988
Female – 80 and over2,395,8232,519,5382,524,7450.9490.998
Male – 0-54741,462694,984711,7811.0420.976
Male – 0-54741,462694,984711,7811.0420.976
Male – 65-691,606,1431,605,0991,607,4900.9990.999
Male – 70-741,262,3531,271,2121,301,3120.9700.977
Male – 75-791,175,8181,227,2201,218,6280.9651.007
Male – 80 and over1,392,2961,469,3071,472,5860.9450.998
Individuals with retirement income by gender and type of pension:
Female – Old-age and seniority pensions4,709,9665,204,1135,196,3250.9061.001
Female – Inability pensions565,080617,424624,4060.9050.989
Female – Survivors’ pensions3,605,2914,034,6184,032,1870.8941.001
Female – Disability pensions1,416,0511,813,1111,824,1180.7760.994
Female – Social pension518,856536,305541,6790.9580.990
Male – Old-age and seniority pensions5,716,6766,319,9526,377,7560.8960.991
Male – Inability pensions606,074642,345652,0980.9290.985
Male – Survivors’ pensions583,017603,947617,2340.9450.978
Male – Disability pensions992,8881,201,0271,219,6730.8140.985
Male – Social pension266,998297,015304,4130.8770.976
Retired workers by gender (in thousands):
Female1961151111.7661.036
Male5363213311.6190.970
In-work individuals by area of birth (in thousands):
Italy20,10720,13220,10611.001
EU or non-EU3,0332,3262,3591.2860.986
In-work individuals by employment status (in thousands):
Employees18,04217,00816,9881.0621.001
Freelancers1,1611,3141,3270.8750.990
Craftsmen, traders and farmers3,3873,7933,8010.8910.998
Atypical workers (co.co.co.)5503443491.5760.986
Employees by type of contract (in thousands):
Open-ended15,29014,61514,6051.0471.001
Fixed-term2,7522,3932,3831.1551.004
Full-time14,32413,63413,6421.0500.999
Part-time3,7183,3733,3461.1111.008
Population by gender and civil status:
Female – Single11,444,70811,878,04011,900,6530.9620.998
Female – Married or separated14,719,91314,669,92714,683,4811.0020.999
Female – Divorced824,754862,563871,3450.9470.990
Female – Widow4,022,8393,753,1153,753,7511.0721
Male – Single13,305,71413,646,65013,641,7470.9751
Male – Married or separated14,586,29114,448,37814,485,0921.0071
Male – Divorced477,936579,280584,3430.8180.991
Households at the regional level (in thousands):
Male – Widower940,970752,454745,1391.2631.010
Piemonte2,0081,9631,9501.0301.007
Valle d’Aosta61125620.9842.016
Liguria7717887561.0201.042
Lombardia4,4184,2994,2221.0461.018
Bolzano2172462151.0091.144
Trento2332542281.0221.114
Veneto2,0592,0221,9831.0381.020
Friuli-Venezia Giulia5596225441.0281.143
Emilia-Romagna1,9931,9281,9611.0160.983
Toscana1,6431,6141,6361.0040.987
Umbria3834203791.0111.108
Marche6446836411.0051.066
Lazio2,6312,5282,6011.0120.972
Abruzzo5555325491.0110.969
Molise13116713111.275
Campania2,1572,0682,1730.9930.952
Puglia1,5871,5491,5930.9960.972
Basilicata2312482380.9711.042
Calabria8007408060.9930.918
Sicilia2,0221,9302,02210.955
Sardegna7196996961.0331.004
Households by type (in thousands):
Single8,3698,1758,3121.0070.984
Single with children2,2162,0832,3600.9390.883
Couple5,1424,9735,1101.0060.973
Couple with children8,6928,7018,7540.9930.994
Other1,4031,4948501.6511.758
  1. Source: Authors’ elaborations of AD-SILC 2015 and statistics from different institutes (Eurostat, ISTAT, INPS and DF).

Table A3.1
Probability of being employed.
MaleFemale
bsebse
extra-EU born0.318***(0.042)0.250***(0.038)
studying-1.022***(0.033)-1.029***(0.033)
retired-1.327***(0.049)-1.209***(0.069)
age0.383***(0.012)0.064***(0.005)
age2-0.010***(0.000)-0.001***(0.000)
age30.000***(0.000)
upper sec. degree0.250***(0.020)0.385***(0.021)
tertiary degree0.578***(0.032)0.850***(0.031)
disabled-0.335***(0.050)-0.306***(0.058)
disability pension-1.048***(0.100)-1.030***(0.096)
disability allowance-1.021***(0.125)-0.864***(0.131)
incapacity pension-1.018***(0.086)-1.285***(0.138)
in couple0.107***(0.027)-0.318***(0.033)
partner working (lag)0.204***(0.027)0.156***(0.030)
experience0.085***(0.003)0.098***(0.004)
experience2-0.001***(0.000)-0.002***(0.000)
last spell duration (out-of-work)-0.199***(0.007)-0.201***(0.007)
last spell duration (working)0.027***(0.001)0.031***(0.002)
pen-ended private (lag)3.439***(0.034)3.666***(0.036)
fixed-term private (lag)2.783***(0.038)3.028***(0.038)
pen-ended public (lag)3.760***(0.058)4.506***(0.063)
fixed-term public (lag)2.969***(0.125)3.549***(0.084)
professional (lag)4.470***(0.101)4.133***(0.125)
self-employed (lag)4.082***(0.053)4.415***(0.068)
atypical (lag)3.600***(0.071)3.144***(0.070)
children aged 0-6-0.376***(0.030)
constant-5.725***(0.163)-2.242***(0.101)
pseudo-R20.7190.739
no. of observations253,274250,143
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category for the educational level is compulsory education. Experience refers to years of work. Children aged 0-6 is equal to one when children in that age group are present. All other variables except for age and duration in last spell are dummies. Source: Authors’ elaborations on AD-SILC data.

Table A3.2
Probability of being employed in each employment category for males.
Fixed-term employeeProfessionalsSelf-employedAtypical
bsebsebsebse
EU born0.095(0.082)-0.785**(0.362)-0.016(0.148)-0.218(0.242)
extra-EU born0.123**(0.050)-0.817***(0.227)-0.049(0.102)-0.403***(0.145)
age-0.024***(0.009)0.227***(0.028)0.078***(0.015)0.097***(0.019)
age20.000***(0.000)-0.002***(0.000)-0.001***(0.000)-0.001***(0.000)
upper sec. degree-0.336***(0.029)1.407***(0.148)0.068(0.050)0.392***(0.072)
tertiary degree-0.494***(0.043)1.902***(0.162)-0.275***(0.076)0.745***(0.094)
studying0.403***(0.054)0.156(0.180)-0.356***(0.106)0.844***(0.110)
in couple-0.214***(0.032)-0.329***(0.103)0.019(0.056)-0.063(0.076)
exp. as open-ended-0.060***(0.006)-0.191***(0.017)-0.061***(0.010)-0.097***(0.012)
exp. as fixed-term0.143***(0.016)-0.321***(0.089)-0.186***(0.032)-0.266***(0.058)
exp. as atypical0.012(0.021)0.081*(0.046)-0.053*(0.028)0.392***(0.024)
exp. as self-employed0.026***(0.009)-0.025(0.026)0.174***(0.009)0.072***(0.013)
exp. as professional-0.068***(0.020)0.267***(0.019)-0.010(0.029)0.020(0.024)
exp.2 as open-ended0.000(0.000)0.003***(0.001)0.000(0.000)0.001***(0.000)
exp.2 as fixed-term0.005***(0.002)0.019(0.013)0.018***(0.003)0.017***(0.006)
exp.2 as atypical-0.003(0.002)-0.004(0.003)0.005**(0.002)-0.013***(0.002)
exp.2 as self-employed-0.001***(0.000)-0.002(0.001)-0.004***(0.000)-0.002***(0.000)
exp.2 as professional0.001(0.001)-0.006***(0.001)-0.001(0.001)-0.000(0.001)
pen-ended (lag)-2.813***(0.041)-3.589***(0.153)-3.038***(0.072)-3.735***(0.107)
fixed-term (lag)0.989***(0.040)-1.620***(0.216)-1.401***(0.103)-1.219***(0.138)
professional (lag)-0.373**(0.190)4.160***(0.139)0.083(0.231)-0.006(0.222)
self-employed (lag)0.226**(0.097)0.047(0.267)4.861***(0.082)1.043***(0.120)
atypical (lag)-0.023(0.107)0.727***(0.184)0.874***(0.116)2.752***(0.097)
constant0.317*(0.166)-8.894***(0.546)-3.057***(0.284)-5.095***(0.371)
pseudo-R20.732
no. of observations140,331
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category in the dependent variable is open-ended employee. The omitted category for the nationality is Italian, while for the educational level, it is compulsory education. Exp. refers to years of work. All other variables except for age are dummies. Coefficients in units of log odds. Source: Authors’ elaborations of AD-SILC data.

Table A3.3
Probability of being employed in each employment category for females.
Fixed-term employeeProfessionalsSelf-employedAtypical
bsebsebsebse
EU born-0.045(0.071)-0.644***(0.248)-0.418**(0.165)-0.357**(0.164)
extra-EU born-0.147***(0.054)-0.747***(0.231)-0.339***(0.125)-0.475***(0.131)
age0.039***(0.010)0.249***(0.036)0.078***(0.021)0.089***(0.019)
age2-0.001***(0.000)-0.003***(0.000)-0.001***(0.000)-0.001***(0.000)
upper sec. degree-0.310***(0.032)0.995***(0.184)-0.005(0.070)0.172**(0.073)
tertiary degree-0.439***(0.041)2.117***(0.185)-0.604***(0.098)0.634***(0.085)
studying0.362***(0.056)-0.158(0.179)-0.252*(0.137)0.720***(0.095)
in couple0.064*(0.034)-0.242**(0.117)0.312***(0.074)-0.116(0.071)
children aged 0-6-0.085**(0.040)-0.161(0.139)0.160*(0.085)-0.187**(0.086)
exp. as open-ended-0.044***(0.006)-0.122***(0.022)-0.028**(0.013)-0.048***(0.014)
exp. as fixed-term0.149***(0.015)-0.351***(0.094)-0.310***(0.042)-0.249***(0.049)
exp. as atypical0.012(0.020)0.041(0.054)-0.127***(0.041)0.353***(0.027)
exp. as self-employed0.043***(0.011)-0.001(0.035)0.160***(0.013)0.052***(0.020)
exp. as professional-0.020(0.021)0.309***(0.025)-0.008(0.052)-0.031(0.035)
exp.2 as open-ended-0.000(0.000)0.002*(0.001)-0.001***(0.001)-0.001(0.001)
exp.2 as fixed-term0.001(0.001)0.015(0.013)0.025***(0.004)0.015***(0.005)
exp.2 as atypical-0.002(0.002)-0.004(0.004)0.006*(0.003)-0.015***(0.002)
exp.2 as self-employed-0.002***(0.000)-0.000(0.001)-0.004***(0.000)-0.001*(0.001)
exp.2 as professional0.001(0.001)-0.008***(0.001)-0.002(0.003)-0.000(0.001)
pen-ended (lag)-3.319***(0.043)-4.417***(0.201)-3.419***(0.096)-4.158***(0.109)
fixed-term (lag)0.990***(0.041)-1.562***(0.206)-1.179***(0.130)-1.056***(0.110)
professional (lag)-0.122(0.192)4.112***(0.163)0.214(0.337)0.726***(0.219)
self-employed (lag)0.120(0.130)0.213(0.325)5.234***(0.113)0.258(0.181)
atypical (lag)-0.233***(0.090)0.288*(0.172)0.172(0.160)2.215***(0.088)
constant-0.480***(0.186)-7.982***(0.702)-3.335***(0.395)-4.213***(0.359)
pseudo-R20.699
no. of observations110,553
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category in the dependent variable is open-ended employee. The omitted category for the nationality is Italian, for the educational level it is compulsory education. Exp. refers to the experience in the labour market. All other variables except for age are dummies. Coefficients in units of log odds. Source: Authors’ elaborations of AD-SILC data.

Table A3.4
Probability of being employed in each employment category for working pensioners.
Open-ended privateFixed-term privateProfessionalAtypical
bsebsebsebse
partner working-0.800***(0.181)-0.769***(0.230)-1.620***(0.378)-0.705***(0.175)
exp. as open-ended private0.086***(0.019)0.061***(0.023)-0.031(0.031)0.002(0.021)
exp. as fixed-term private2.251***(0.521)3.048***(0.536)2.009***(0.611)1.829***(0.537)
exp. as atypical-0.017(0.077)0.094(0.079)0.245***(0.092)0.808***(0.051)
exp. as self-employed-0.123***(0.018)-0.179***(0.021)-0.324***(0.036)-0.207***(0.018)
exp. as professional-0.231(0.249)-0.176(0.254)0.782***(0.133)0.178(0.128)
exp.2 as open-ended private-0.001**(0.000)-0.001**(0.001)0.000(0.001)-0.000(0.001)
exp.2 as fixed-term private-0.147***(0.029)-0.177***(0.030)-0.129***(0.036)-0.118***(0.033)
exp.2 as atypical-0.002(0.004)-0.005(0.005)-0.013**(0.005)-0.032***(0.003)
exp.2 as self-employed0.001(0.000)0.002***(0.000)0.004***(0.001)0.002***(0.000)
exp.2 as professional0.006(0.005)0.003(0.005)-0.014***(0.003)-0.002(0.003)
constant-0.279(0.309)-0.927**(0.415)-0.048(0.445)-0.182(0.323)
pseudo-R20.581
no. of observations9,627
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category in the dependent variable is self-employed. Exp. refers to years of work. Partner working is a dummy. Coefficients in units of log odds. Source: Authors’ elaborations of AD-SILC data.

Table A3.5
Monthly wages of private employees.
MaleFemale
bsebse
EU born-0.033**(0.013)-0.235***(0.014)
extra-EU born-0.102***(0.008)-0.308***(0.011)
upper sec. degree0.126***(0.004)0.126***(0.005)
tertiary degree0.334***(0.008)0.277***(0.008)
children aged 0-30.035***(0.004)-0.051***(0.005)
children aged 4 and over0.024***(0.004)-0.047***(0.005)
exp. as private employee0.037***(0.001)0.025***(0.001)
exp.2 as private employee-0.001***(0.000)-0.000***(0.000)
pen-ended contract0.034***(0.005)
part-time-0.563***(0.010)-0.403***(0.005)
partner working0.024***(0.003)0.016***(0.004)
constant7.169***(0.008)7.145***(0.008)
σ_u0.3750.369
σ_e0.1520.144
ρ0.8600.868
R2-within0.1420.192
R2-between0.4600.396
R2-overall0.4380.391
no. of observations88,96663,934
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category for the nationality is Italian, while for the educational level it is compulsory education. Exp. refers to years of work. Children aged 0-3 or 4 and over is equal to one when children in that age group are present. All other variables are dummies. Source: Authors’ elaborations of AD-SILC data.

Table A3.6
Monthly wages of public employees.
MaleFemale
bsebse
upper sec. degree0.091***(0.015)0.073***(0.012)
tertiary degree0.431***(0.018)0.242***(0.013)
exp. as public employee0.026***(0.002)0.024***(0.002)
exp.2 as public employee-0.000***(0.000)-0.000***(0.000)
children aged 0-30.048*(0.025)-0.067***(0.014)
children aged 4 and over0.060***(0.014)-0.033***(0.009)
pen-ended contract0.254***(0.029)0.222***(0.017)
part-time-0.437***(0.042)-0.348***(0.018)
constant7.198***(0.030)7.159***(0.022)
σ_u0.4730.366
σ_e0.3410.266
ρ0.6580.654
R2-within0.0340.019
R2-between0.2290.288
R2-overall0.2090.260
no. of observations16,63724,175
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category for the educational level is compulsory education. Exp. refers to years of work. Children aged 0-3 or 4 and over is equal to one when children in that age group are present. All other variables are dummies. Source: Authors’ elaborations of AD-SILC data.

Table A3.7
Monthly wages of professionals.
bse
female-0.225*** (0.043)
exp. as professional0.049*** (0.005)
exp.2 as professional-0.001*** (0.000)
constant7.221*** (0.045)
σ_u0.856
σ_e0.457
ρ0.778
R2-within0.014
R2-between0.085
R2-overall0.090
no. of observations8,311
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. Exp. refers to years of work. All other variables are dummies. Source: Authors’ elaborations of AD-SILC data.

Table A3.8
Monthly wages of self-employed workers.
bse
female-0.178*** (0.024)
upper sec. degree0.092*** (0.015)
tertiary degree0.161*** (0.027)
exp. as self-employed0.022*** (0.003)
exp.2 as self-employed-0.001*** (0.000)
constant6.884*** (0.028)
σ_u0.777
σ_e0.583
ρ0.640
R2-within0.003
R2-between0.044
R2-overall0.044
no. of observations31,470
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category for the educational level is compulsory education. Exp. refers to years of work. All other variables are dummies. Source: Authors’ elaborations of AD-SILC data.

Table A3.9
Monthly wages of atypical workers.
MaleFemale
bsebse
pen-ended (lag)0.396***(0.046)0.393***(0.048)
fixed-term (lag)0.316***(0.066)0.230***(0.047)
experience0.052***(0.005)0.022***(0.004)
experience2-0.001***(0.000)-0.000(0.000)
partner working0.088***(0.031)--
children aged 0-30.076*(0.041)-0.039(0.041)
constant7.516***(0.053)7.593***(0.055)
σ_u0.5920.430
σ_e0.4060.462
ρ0.6800.464
R2-within0.0530.034
R2-between0.1600.079
R2-overall0.1570.072
no. of observations3,7473,440
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. Exp. refers to years of work. Children aged 0-3 is equal to one when children in that age group are present. All other variables are dummies. Source: Authors’ elaborations of AD-SILC data.

Table A3.10
Monthly wages of working pensioners.
bse
female-0.130*** (0.040)
upper sec. degree0.171*** (0.031)
tertiary degree0.253*** (0.050)
experience0.006*** (0.002)
fixed-term private0.104* (0.055)
professional0.599*** (0.070)
self-employed-0.141*** (0.045)
atypical0.608*** (0.052)
constant6.616*** (0.083)
σ_u0.893
σ_e0.485
ρ0.772
R2-within0.008
R2-between0.139
R2-overall0.126
no. of observations7,632
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category for the educational level is compulsory education. Experience refers to years of work. All other variables are dummies. Source: Authors’ elaborations of AD-SILC data.

Table A3.11
Probability of working all year.
MaleFemale
bsebse
working all year (lag)1.257***(0.065) 1.197***(0.063)
partner working0.133***(0.047)
no. of months worked last year0.191***(0.008) 0.171***(0.007)
part-time0.851***(0.068) 1.118***(0.053)
experience0.004**(0.002) 0.009***(0.003)
upper sec. degree0.414***(0.046) 0.333***(0.054)
tertiary degree0.694***(0.070) 0.669***(0.067)
fixed-term public0.629***(0.095) 0.619***(0.064)
atypical0.964***(0.052) 0.520***(0.060)
children aged 0-3 -0.323***(0.074)
children aged 4 and over -0.163***(0.048)
constant-3.638***(0.108) -3.971***(0.119)
pseudo-R20.327 0.267
no. of observations19,829 19,702
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category for the educational level is compulsory education. Experience refers to years of work. Children aged 0-3 or 4 and over is equal to one when children in that age group are present. All other variables are dummies except for no. of months worked. Source: Authors’ elaborations of AD-SILC data.

Table A3.12
Number of months in work if working less than 12 months.
MaleFemale
bsebse
experience 0.071***(0.009) 0.063***(0.010)
experience2 -0.001***(0.000) -0.002***(0.000)
studying -1.088***(0.093) -0.806***(0.084)
foreign 0.142(0.095)
upper sec. degree 0.573***(0.062) 0.593***(0.065)
tertiary degree 1.007***(0.101) 1.299***(0.088)
children aged 0-6 0.326***(0.090)
fixed-term private employee -1.276***(0.150) -0.968***(0.091)
atypical -2.436***(0.162) -2.461***(0.103)
retired -0.542***(0.160) -0.520**(0.215)
working (lag) 1.293***(0.058) 1.400***(0.056)
constant 4.819***(0.188) 4.416***(0.152)
σ_u 2.246 2.087
σ_e 1.900 2.006
ρ 0.583 0.520
R2-within 0.064 0.051
R2-between 0.136 0.172
R2-overall 0.113 0.143
no. of observations 13,932 14,793
  1. Note: Significance levels are indicated by * < .1, ** < .05, *** < .01. The omitted category for the educational level is compulsory education. Experience refers to years of work. Children aged 0-6 is equal to one when children in that age group are present. All other variables are dummies. Source: Authors’ elaborations of AD-SILC data.

Table A4.1
List of regressions adopted in the Wealth module and in the private pensions sub-module.
ProcessRegression dependent variableData source
Financial investment decisionOwnership of government bondsSHIW 2010-16
Financial investment decisionOwnership of corporate bondsSHIW 2010-16
Financial investment decisionOwnership of stocksSHIW 2010-16
Financial investment decisionRatio of liquidity over total fin. wealthSHIW 2010-16
Financial investment decisionRatio of gov. bonds over total fin. wealthSHIW 2010-16
Financial investment decisionRatio of corp. bonds over total fin. wealthSHIW 2010-16
Financial investment decisionRatio of stocks over total fin. wealthSHIW 2010-16
Inter vivos transfersProbability of making transfersSHIW 2014
Inter vivos transfersAmount transferred (absolute value)SHIW 2014
Inter vivos transfersProbability of receiving transfersSHIW 2014
Inter vivos transfersAmount received (absolute value)SHIW 2014
InheritanceProbability of receiving inheritanceSHIW 2014
InheritanceAmount received (absolute value)SHIW 2014
House investment decisionProbability of buying houseSHIW 2010-16
House investment decisionLog-value of purchased houseSHIW 2010-16
RentProbability of paying rentSHIW 2010-16
RentRatio of rent paid over household incomeSHIW 2010-16
RentProbability of received rentAD-SILC 2015
RentRatio of rent received over household incomeAD-SILC 2015
ConsumptionLog-level of household consumptionSHIW 2002-16
Private pensionsProbability of investing in II pillarSHIW 2010-16
Private pensionsProbability of investing in III pillarSHIW 2010-16
Private pensionsAmount of income invested in III pillarSHIW 2010-16
Private pensionsProbability of investing zero in III pillarSHIW 2010-16
Table A4.2
Probability of investing in financial activities.
F A2tF A3tF A4t
bsebsebse
FA2t−11.662***(0.150)
FA200.886***(0.150)
FA3t−1 1.296***(0.185)
FA30 0.899***(0.187)
FA4t−1 1.350***(0.143)
FA40 0.741***(0.145)
age-0.026(0.019) -0.099***(0.021) -0.038**(0.017)
log fin. wealth1.603***(0.062) 2.230***(0.088) 1.328***(0.057)
avg age0.056***(0.019) 0.079***(0.022) -0.005(0.017)
avg fin. wealth-0.134**(0.061) -0.197**(0.085) 0.014(0.068)
female0.337***(0.117)
tertiary degree-0.776***(0.134) 0.299**(0.117)
constant-19.730***(0.727) -22.684***(0.855) -13.969***(0.522)
pseudo-R20.654 0.774 0.639
no. of obs.6,019 6,019 6,019
  1. Note: Significance levels are indicated by < .1, ** < .05, *** < .01. FA2 corresponds to government bonds, FA3 corresponds to corporate bonds and FA4 corresponds to stocks. The subscript t − 1 denotes the lagged variables. The subscript 0 denotes the initial conditions. The dependent variables are the probabilities of investing in one of the three forms of financial activities, named FA (households who own financial wealth always have a positive probability of detaining liquidity). To correctly estimate the dynamic relationship between ownership at time t and at time t-1 we check for the initial conditions in the status (whether the household owned the financial activity in 2010) and we average time-varying variables, following the approach by Wooldridge (2005). Source: Authors’ elaborations of SHIW data (2010–2016).

Table A4.3
Panel estimates of log-consumption.
bse
age0.011***(0.001)
2nd income decile0.213***(0.012)
3rd income decile0.304***(0.013)
4th income decile0.375***(0.014)
5th income decile0.447***(0.015)
6th income decile0.516***(0.016)
7h income decile0.575***(0.016)
8th income decile0.653***(0.018)
9th income decile0.690***(0.019)
10th income decile0.777***(0.022)
2nd fin. wealth quintile0.037***(0.008)
3rd fin. wealth quintile0.056***(0.008)
4th fin. wealth quintile0.075***(0.009)
5th fin. wealth quintile0.118***(0.011)
no. hh members0.038***(0.006)
retired-0.067***(0.011)
no. of income earners0.035***(0.007)
constant8.176***(0.045)
σ_u0.382
σ_e0.354
ρ0.538
R2-within0.146
R2-between0.459
R2-overall0.381
no. of observations39,559
  1. Note: Significance levels are indicated by < .1, ** < .05, *** < .01. The dependent variable is the logarithm of consumption. We adopt a fixed effects estimator, where the correlation between the error component and unobserved time-invariant household effect is introduced in the simula- tion. The main explanatory variables are the level of household income (in deciles) and financial wealth (in quintiles); the regression coefficients illus- trate a positive correlation between these two variables and consumption, as expected. The number of household members and of income earners increase the total consumption level, whereas the retired status of the head of the household reduces consumption and, as a result, increases savings. This result, typical of Italy, is known in the literature as the ‘retirement consumption puzzle’ (Battistin et al., 2009). Source: Authors’ elaborations of SHIW data (2010–2016).

Table A4.4
Probability of investing in private pension plans.
II pillarIII pillar
bsebse
age 0.247***(0.036) 0.246***(0.025)
age2 -0.003***(0.000) -0.003***(0.000)
log income 1.415***(0.127) 0.811***(0.071)
tertiary degree 0.473***(0.087) 0.326***(0.067)
high wealth 0.403***(0.115) 0.414***(0.091)
employee - 0.425***(0.080)
constant -(1.302) -(0.824)
 21.679*** 16.029***
pseudo-R2 0.108 0.059
no. of observations 14,288 25,198
  1. Note: Significance levels are indicated by < .1, ** < .05, *** < .01. The regressions for private pensions are performed at the individual level. The estimate for the II pillar is made for private employees only. Among the explanatory variables are age, the level of individual income, tertiary education and the highest quintile of household net wealth. The estimate for the III pillar is made for all employed individuals. The high wealth variable is a dummy that denotes the highest quintile of wealth distribution. The employee dummy denotes the employment status. The coefficients of the two types of investment are similar, this means that the profile of the individuals who invest in collective schemes are similar to the ones who invest in individual plans. Source: Authors’ elaborations of SHIW data (2010–2016).

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