Yes, the long term capital gains rate is $0 for your tax bracket.
The $13,000 long term capital gain will be included in your taxable income. But the Qualified Dividends and Capital Gain Tax Worksheet is used to calculate the tax if you have qualified dividends or long term capital gains on your return.
You can preview your 1040 and see if the Qualified Dividends and Capital Gain Tax Worksheet was used when you scroll down to the "Tax Smart Worksheet".
To preview Form 1040:
- Click on "Tax Tools" in the left menu
- Click "Tools"
- Click "View Tax Summary" in the Tool Center window
- Click on "Preview my 1040" on the left
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