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After you file
That's possible, because the IRS Tax Tables are in $50 increments.
So if you were almost to the next $50 level, the $2 in interest could
have put you over into the next $50 bracket.
It's easier to see in this example for a single filer:
Income Tax (from IRS Tax Table)
40,000 but less than 40,050 4,745
40,050 but less than 40,100 4,756
40,100 but less than 40,150 4,767
So if a filer originally had 40,098 in taxable income, his tax would be 4,756. If another $2 in income, then that would put him at 40,100 in income, and the tax would be 4,767. So in this example the filer owed an extra $11 in tax because the $2 put him in the next $50 income "bracket."
Depending on where you are in that $50 bracket when you add additional income, the refund meter may go down (or tax due meter go up), or it may not change at all.