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I don't know where to find it, but I would find it hard to believe that those who earn more, and thus pay more in Medicare Premiums during their earning years are much more likely to live old enough to take advantage of Medicare.

I could be wrong, but is it not true that those who earn less die earlier?

Here's a working paper from the Social Security Administration that shows that for males born in 2 cohorts (1912 and 1941), the life expectancies for those in the top half of earners are, indeed, longer, with the 1941 difference being more prounounced. (See Chart 1)

The paper is actually focused on 'mortality improvement' and determined that higher earners have had a faster rate of 'mortality improvement' than lower earners.

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