Modelos matema¡ticos foram desenvolvidos na TU Wien para simular essas relaa§aµes. Os resultados mostraram que os sistemas previdencia¡rios podem de fato levar a uma redistribuia§a£o de baixo para cima.
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)
Crédito: PixabayÂ
Os ricos também vivem mais. Os sistemas de pensaµes que ignoram isso podem causar uma redistribuição de baixo para cima, dizem estudos da TU Wien (Viena).
Na verdade, o sistema previdencia¡rio deve servir como um equalizador social. Aqueles que ganham dinheiro pagam por isso. Aqueles que não podem mais trabalhar recebem uma pensão. Mas, ao olhar mais de perto os dados demogra¡ficos, surge um quadro um pouco mais complicado: a expectativa de vida estãorelacionada ao status socioecona´mico. Aqueles que vivem com maior riqueza vivem mais e, portanto, recebem o pagamento de pensaµes por mais tempo. Assim, pode acontecer que os sistemas previdencia¡rios não sejam mais progressivos, mas se tornem regressivos - ou seja, causem uma redistribuição das classes mais pobres para as mais ricas. Os modelos da TU Wien (Viena) mostram que esse efeito émuito robusto e deve definitivamente ser levado em consideração em futuras reformas previdencia¡rias.
Renda, educação e expectativa de vida
Esta¡ bem estabelecido que a expectativa de vida estãorelacionada ao status socioecona´mico. Isso éverdade tanto ao compararpaíses mais pobres e ricos quanto ao comparar diferentes estratos populacionais dentro de umpaís. "As estatasticas mostram que a diferença na expectativa de vida entre as camadas mais pobres e mais ricas da população aumentou ainda nos últimos anos", diz a professora Alexia Fa¼rnkranz-Prskawetz, que estuda diferentes sistemas de pensaµes no Instituto de Estatastica e Manãtodos Matema¡ticos em Economia da TU Wien juntamente com o Dr. Miguel Sanchez Romero.
Uma análise cuidadosa énecessa¡ria para tirar conclusaµes de tais observações - afinal, uma correlação ainda não éuma relação causal. Ainda mais forte do que a correlação entre riqueza financeira e expectativa de vida éa correlação entrenívelde educação e expectativa de vida: quem tem educação vive mais, e esse grupo geralmente também tem uma renda mais alta.
Causa e efeito
“A questãofica ainda mais complicada porque as pessoas podem, atécerto ponto, estimar sua própria expectativa de vida e leva¡-la em consideração na tomada de decisaµesâ€, diz Alexia Fa¼rnkranz-Prskawetz. "Portanto, o sistema estabelece incentivos que mudam o comportamento, e esse comportamento mudado, por sua vez, decide o quanto progressivo ou regressivo éum sistema escolhido." Para quem espera viver mais, também vale mais a pena investir um ano a mais em educação para ter uma renda maior e, assim, maiores pensaµes. Todos esses efeitos influenciam uns aos outros.
Portanto, modelos matema¡ticos foram desenvolvidos na TU Wien para simular essas relações. Os resultados mostraram que os sistemas previdencia¡rios podem de fato levar a uma redistribuição de baixo para cima. Sa£o precisamente as classes ricas que recebem pagamentos particularmente elevados devido a sua expectativa de vida mais longa.
Onde termina a matemática, comea§a a polatica
Nãoháuma resposta matemática clara para a questãode como resolver este problema da melhor maneira: "Claro, diferentes ta¡buas de mortalidade podem ser usadas para grupos diferentes. Vocaª pode ajustar a contribuição da pensão ou o valor das pensaµes de acordo para que cada grupo faz igualmente bem ", diz Miguel Sanchez Romero," mas se isso éeficaz éoutra questão. Afinal, sempre hátrade-offs entre redistribuição, que deve garantir mais igualdade, e efeitos de incentivo, que devem influenciar o comportamento das pessoas , por exemplo, maior investimento em educação. "
No entanto, Alexia Fa¼rnkranz-Prskawetz e Miguel Sanchez Romero gostariam de fazer uma recomendação importante aos formuladores de políticas: se vocênão deseja prejudicar nenhum grupo da população, deve examinar todas as áreas do sistema social ao mesmo tempo. "Vocaª não pode olhar para o sistema de pensaµes separadamente do sistema de saúde ou do sistema de educação", diz Alexia Fa¼rnkranz-Prskawetz. “Sabemos que nosso sistema previdencia¡rio precisa ser reformado. Mas, em qualquer reforma futura, éessencial levar em conta que diferentes grupos da população se beneficiam do sistema previdencia¡rio de maneiras muito diferentes. Se vocêignorar isso, pode facilmente acabar com o oposto do que vocêqueria alcana§ar. "