Institute of Mathematical Methods in Economics Economics Bernhard Hammer, Michael Freiberger, Alexia Prskawetz Institute of Mathematical Methods in Economics,

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Institute of Mathematical Methods in Economics Economics Bernhard Hammer, Michael Freiberger, Alexia Prskawetz Institute of Mathematical Methods in Economics, Vienna University of Technology Vienna Institute of Demography, Austrian Academy of Sciences Wittgenstein Centre for Demography and Global Human Capital The Public Reallocation of Resources across Age: A Comparison of European NTA countries European NTA Meeting Stockholm, November 8 th -9 th 2012

Institute for Mathematical Methods in Economics Economics 1. Introduction 2. Cumulative distribution of transfers 3. Lee arrows Structure of the talk

Institute for Mathematical Methods in Economics Economics  Re-allocation of resources across age  Plot cumulative distribution of transfers by age: above diagonal – transfers biased towards young age below diagonal – transfers biased towards old age  Use the concept of Lee arrows and advanced Lee arrows  Countries we consider: Austria, Finland, France, Germany, Hungary, Italy, Slovenia, Spain, Sweden, UK 1. Introduction

Institute for Mathematical Methods in Economics Economics 1. Introduction Cumulative age distribution of NTA-countries

Institute for Mathematical Methods in Economics Economics 2. Cumulative distribution of transfers 1. total public transfers - INFLOWS

Institute for Mathematical Methods in Economics Economics 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 3 groups: UK – near diagonal Austria, Germany, Sweden, Spain Finland, Slovenia, Hungary In all cases below diagonal: Old age oriented transfer systems 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 2. Health transfers 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 3 groups: Italy – less targeted towards elderly Sweden – highly targeted towards elderly Austria, Finland, Germany, Hungary, Slovenia, Spain, UK In all cases below diagonal: Old age oriented health transfer 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 3. Pension transfer 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 3 groups: Spain – very early UK – verly late Austria, Finland, Germany, Hungary, Italy, Slovenia, Sweden 2. Cumulative distribution of transfers

Institute for Mathematical Methods in Economics Economics 3. Lee arrows Lee-Arrows for LCD 40 –

Institute for Mathematical Methods in Economics Economics 3. Lee arrows Advanced Lee-Arrows for LCD

Institute for Mathematical Methods in Economics Economics 3. Lee arrows Lee-Arrows for Public Transfers

Institute for Mathematical Methods in Economics Economics 3. Lee arrows Advanced Lee-Arrows for Public Transfers

Institute for Mathematical Methods in Economics Economics 4. Discussion

Institute for Mathematical Methods in Economics Economics THANK YOU