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Don't accept a low rate
If you're looking to earn high interest, you may have to ignore the big banks.
In fact, the big 4 banks -- Chase, Bank of America, Wells Fargo and Citibank -- offer few, if any, competitive rates on any banking product they offer.
The amount of money kept in low-yielding money market funds is staggering. But there is lots of competition for that money, which can be easily moved out of a savings account at an institution that's paying you well below the rate of inflation.
If you find a great deal on a savings or money market account, you can't just park your money and forget it. Plan to move it frequently because there's no guarantee that great rate today will remain great tomorrow.