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That's definitely not universally true; my US bank pays 3.2% interest on savings
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And what is inflation?
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A general, continuous increase in the overall price level of goods and services in an economy over time.

Not really related to the discussion here though, since we were determining whether the interest rate is zero.

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Any interest rate that is equal to or less than inflation is functionally zero (or less).
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This is a thread about a EU bank, and banks in the EU both have some standard interest rate on savings accounts, and moreover might offer time-restricted savings accounts with an even higher rate. That said, they track poorly with inflation compared to actual investment.
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I get 4% (instant access savings account with Revolut, UK)
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Ally has been 2% from before Covid and currently is at 3.2%
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Zero is also a number, although not all Mathematicians accept that. 0% interest does not change the essence of the monetary relationship with your bank, or the risk profile.
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My bank in the uk pays me 3%
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I have been able to easily find a US bank that pays roughly SOFR minus 25 basis points for FDIC insured savings accounts, even before 2020.
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