Mike Milligan walks through a Roth conversion: convert a $20,000 pre-tax IRA, pay $4,400 in federal tax at 22%, and move the full $20,000 into a Roth. He notes this simplified example skips state taxes and bracket changes, so real conversions need a fuller picture.
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There's strategies floating around the internet about do not pay that tax or have your tax paid for you, but you're consciously making a decision to recognize taxable income now in exchange for the Roth's potential future tax treatment. Let's use a deliberately simple hypothetical example. Suppose you convert $20,000 of entirely pre-tax IRA money, and every dollar of that conversion is taxed at an assumed 22% federal rate. The extra federal income tax in that example is $4,400. We're assuming you pay it with money outside of your IRA, so the full $20,000 goes from Box Traditional IRA to Box Roth IRA. See, that illustration though leaves something out. It leaves out state taxes, other income-related effects, and any change in your tax bracket.