The Logic Behind Backdoor Roth IRA Conversions
The core calculation determines how much of your conversion is taxable using the IRS pro-rata rule, then projects long-term Roth growth versus keeping funds in a Traditional IRA.
totalTradBalance = tradBalanceBefore + contribution
proRataRatio = tradBalanceBefore / totalTradBalance
taxableConversion = conversionAmount x proRataRatio
taxLiability = taxableConversion x (incomeTaxRate / 100)
rothBalanceAfter = rothBalanceBefore + conversionAmount
rothFutureValue = rothBalanceAfter x (1 + annualReturn)^years
tradFutureValue = tradBalanceBefore x (1 + annualReturn)^years
tradAfterTax = tradFutureValue x (1 - incomeTaxRate / 100)
taxFreeGain = rothFutureValue - tradAfterTax
effectiveCostRate = taxLiability / conversionAmount
The pro-rata rule treats all your IRA assets proportionally — even though you are converting newly added after-tax dollars, a large pre-tax balance drives most of the conversion into taxable territory.
The taxFreeGain compares the projected Roth value against what the traditional balance would be worth after taxes at withdrawal, showing whether the conversion delivers a net benefit over the holding period.
Worked Example: High Earner with $50,000 Pre-Tax IRA
With $50,000 pre-tax Traditional IRA, a $7,000 non-deductible contribution, $10,000 existing Roth, 25% tax rate, 20-year horizon, and 7% returns:
- Total Traditional IRA balance: $50,000 + $7,000 = $57,000
- Pro-rata ratio: $50,000 / $57,000 = 87.7% taxable
- Taxable conversion: $7,000 x 0.877 = $6,140
- Tax liability: $6,140 x 25% = $1,535
- Roth future value (20 yrs at 7%): $17,000 x (1.07)^20 = $65,785
- Traditional after-tax comparison: $50,000 x (1.07)^20 = $193,484 pre-tax, $145,113 after 25% tax
- Tax savings vs traditional: $65,785 - $145,113 = -$79,329 (Traditional wins with this large pre-tax balance)
- Effective conversion cost: $1,535 / $7,000 = 21.9%
The negative result shows a large pre-tax balance makes the conversion costly.
Rolling those funds into a 401(k) first reduces the pro-rata ratio toward zero.
When This Calculator May Understate Your Costs
The calculator does not account for state income taxes — if you live in a state with income tax, your actual tax liability will exceed the displayed amount.
It also assumes a single tax rate throughout; if you expect your rate to change significantly in retirement, model multiple scenarios.
Finally, if you hold SEP or SIMPLE IRA balances in addition to Traditional IRAs, all of those count toward the pro-rata calculation — make sure to include them in the "Traditional IRA Balance Before Conversion" field for an accurate result.
