Whether the national debt or household debt, the major concern about its existence should be the "redistribution of income" resulting from that debt. With household debt, it's easy to recognize the
transfer of wealth that occurs --- who benefits, who loses. If a household doesn't mind paying 20% more (e.g., principle + interest) for the things they buy, then debt really isn't an issue.
With the national debt, the winners and losers aren't quite so transparent, but the same type of "redistribution of income" occurs between winners/losers. Who might these two groups be? Who benefits? Who loses out?
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