Compare after-tax retirement value for the same gross annual contribution.
2024 IRA limit: $7,000 ($8,000 if 50+).
Traditional (after-tax)
$694,833
Roth (tax-free)
$890,811
Better outcome
Trajectory
At these assumptions, the Roth IRA wins by $195,978.
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Explore โBoth vehicles compound the same gross annual contribution at the same expected return. The decision reduces to a tax-timing question: pay income tax now (Roth) or later(Traditional). If your withdrawal-year bracket is lower than today's, Traditional usually wins; if higher, Roth wins.
FV_y = (FV_{yโ1} + Contribution) ร (1 + r)
r = ExpectedReturn / 100Contributions are added at the start of each year and grow through year-end.
TraditionalAfterTax = FV_n ร (1 โ RetirementTaxRate / 100)
Pre-tax contributions reduce taxable income today; entire balance is taxed on withdrawal.
RothAfterTax = FV_n
Contributions are post-tax now; qualified withdrawals (after age 59ยฝ, 5-year rule) are tax-free.
Winner = argmax(TraditionalAfterTax, RothAfterTax)