Changes in the income distribution of the Dutch elderly between : a microsimulation
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1 Changes in the income distribution of the Dutch elderly between : a microsimulation European Workshop on Dynamic microsimulation modelling, 4-5 March 2010 Marike Knoef, Tilburg University, Netspar, and CentERdata Rob Alessie, University of Groningen, Netspar, Tinbergen Institute Adriaan Kalwij, Utrecht University, Netspar, IZA
2 European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
3 Commissie Goudswaard : sustainability of the second pillar pension system. Trade-off pension ambition and pension risk Description of the income distribution of previous and next generations of retirees Longevity Demographic composition Labour market positions European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
4 European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
5 Predictions of income and inequality The Netherlands Dessens and Jansen (1997), Van Sonsbeek (2009) Other countries Flood et al. (2006): The income of the Swedish baby boomers. MIDAS: Dekkers et al. (2008), Pensim2: Emmerson et al. (2004), Zaidi and Rake (2001), DYNAMITE: Ando et al. (2000, 2004), O Donoghue (2001) Our contribution: Predict future income distribution of elderly in the Netherlands using a dynamic microsimulation model, taking into account unobserved heterogeneity, and persistency and heteroskedasticity of income shocks. European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
6 Composition Dutch income panel (Inkomens Panelonderzoek, IPO) Administrative data Follows households and their income over time Attrition only as a result of emigration or death Institutional households are included Population register (Gemeentelijke Basis Administratie, GBA) European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
7 Composition age Proportion in total income (%) Percentile Percentile State Pension Occupational Pension Labour Capital income and profit Transfer income European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
8 classification Source: Dekkers and Belloni (2008). A classification and overview of micro simulation models, and the choices made in MIDAS. European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
9 Microsimulation model Classification Scheme Income equation Income shocks Transition models Differential mortality European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
10 Income equation Classification Scheme Income equation Income shocks Transition models Differential mortality Income equation, FE model Three specifications: y it = α+βx it +µ i +v it (1) 1. Age and period effects (Deaton Paxson, 1994) 2. + Demographic variables 3. + Labour market status European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
11 Income shocks Classification Scheme Income equation Income shocks Transition models Differential mortality Error terms might follow an autoregressive scheme v it = ρ it,1 v i,t 1 +ρ 2 v i,t 2 +ǫ it (2) Persistency of a shock may depend on age ρ it,1 = ρ 0,1 +ρ 1,1 (age it /10)+ρ 2,1 (age it /10) 2 (3) Future income shocks are drawn from the empirical distribution of idiosyncratic residuals. Distribution of income shocks may be different for households with different characteristics. European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
12 Transition models Classification Scheme Income equation Income shocks Transition models Differential mortality Marital status Children Labour market status Multinomial logit models Labour market choices of couples are interrelated European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
13 Differential mortality Classification Scheme Income equation Income shocks Transition models Differential mortality When we do not take differential mortality into account: - low income households would survive relatively often, - high income households would survive relatively less often. Kalwij et al. (2009) find Q1/Q4 men: 2.2 women: 1.7 European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
14 Coefficients income equation - Age coefficients Coefficients income equation Persistency of income shocks Heteroskedasticity - Demographic variables - Labour market status European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
15 Persistency of income shocks v it = ρ it,1 v i,t 1 +ρ 2 v i,t 2 +ǫ it ρ it,1 Coefficients income equation Persistency of income shocks Heteroskedasticity ρ (0.001) European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
16 Heteroskedasticity Coefficients income equation Persistency of income shocks Heteroskedasticity Standard deviation of residuals is 40% higher in young households (age key person 65), and is higher in households without labour or occupational pension income incorporate higher income shocks for younger households and for households without labour and/or occupational pension income European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
17 Widowhood and occupational pensions Widowhood and occupational pensions Income predictions Income growth Theil decomposition Results Occupational pension Year Widows (%) men (%) women (%) European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
18 Income predictions per age and cohort Widowhood and occupational pensions Income predictions Income growth Theil decomposition Results Mean income retirees: % European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
19 Income growth age Widowhood and occupational pensions Income predictions Income growth Theil decomposition Results Growth (1989=100) Year p10 p50 p90 European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
20 Theil decomposition Increasing inequality between households with and without occupational pension income? (Polarization in the distribution of work in Britain, Gregg and Wadsworth, 2004) Widowhood and occupational pensions Income predictions Income growth Theil decomposition Theil index T = 1 N N i=1 y i ȳ log(y i ȳ ) (4) Results can be rewritten as T = (s 1 T 1 +s 2 T 2 )+(s 1 log(ȳ1 ȳ )+s 2log(ȳ2 ȳ within group inequality + between group inequality )) (5) European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
21 Results Theil decomposition European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
22 For adequate policies insights into the income distribution of current and next generations of pensioners is necessary Less widows. More women occupational pension. Next generations of retirees have higher incomes : % Inequality increases in lower part of the distribution, decreases in upper part. Inequality between households with occupational pension and inactive households will not increase. Fiscalisation : majority of future retirees will be considerably wealthier than the current ones. This does not increase inequality at the lower part of the distribution further. European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
23 European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
24 age European Workshop on Dynamic microsimulation modelling, 4-5 March / 24
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