Investing & Retirement 401(k), IRA & Tax-Advantaged Accounts IRC §219 (traditional IRA) & §408A (Roth)

Traditional vs Roth IRA Comparison Calculator

The choice between a pre-tax and a Roth contribution is a bet on one number: your marginal tax rate in retirement compared with your marginal tax rate today. This calculator settles it properly. It compounds an identical contribution in both accounts, taxes the traditional balance on the way out, and — critically — invests the up-front tax deduction that the pre-tax route hands you, in a taxable side fund, so that both options cost you the same out-of-pocket. It then reports the dollar difference and the break-even retirement tax rate at which the two are exactly equal.

Calculator

This calculator runs in your browser. Enable JavaScript for live results — the inputs, formula and worked example below remain fully readable without it.

Inputs this calculator takes, with typical values
InputWhat to enterExample
Annual contributionThe gross amount you put in each year — the same figure goes into both options.7000 $
Years until withdrawalHow long you contribute and how long the money compounds before you spend it.25 yr
Marginal tax rate todayCombined federal and state marginal rate on the last dollar of your current income.24 %
Expected marginal rate in retirementThe rate you expect to pay on withdrawals — usually driven by pensions, Social Security and required minimum distributions.22 %
Expected annual returnNominal return on the same investments held in both accounts, net of fund costs.7 %
Tax rate on the side fundLong-term capital gains rate if the side fund is held to the end, or your income tax rate if it is taxed annually.15 %
How the side fund is taxedBuy and hold is the friendlier assumption for the traditional option; annual taxation is the harsher one.Buy and hold — gains taxed once at the end
Invest the tax deductionUntick this if you would spend the tax refund rather than invest it — the honest assumption for many savers.Yes

It returns

  • Roth advantage over traditional — Positive means the Roth wins; negative means the pre-tax route plus its side fund wins.
  • Roth: spendable at retirement
  • Traditional: spendable, including side fund
  • After-tax value of the side fund — What the invested tax deduction is worth after its own tax.
  • Break-even retirement tax rate — The retirement rate at which both options give identical spendable money.
  • Total contributed

The formula

t=SF,F=C(1+r)n1r
S=Ptcg(Pbasis)

In plain text: Roth = F ; Traditional = F(1 − t_ret) + S ; break-even t* = S / F

  • FBalance built by the contribution stream in either account before tax ($)
  • CAnnual contribution, identical in both options ($)
  • rExpected annual return (decimal)
  • nNumber of years of contributions and growth (years)
  • t_retMarginal tax rate applied to traditional withdrawals (decimal)
  • t_nowMarginal tax rate today, which sets the size of the deduction (decimal)
  • SAfter-tax value of the side fund built from the annual deduction C·t_now ($)
  • t*Break-even retirement tax rate at which the two options are equal (decimal)

Setting Traditional = Roth gives F(1 − t*) + S = F, so t* = S/F. When the side fund pays no tax of its own, S = t_now · F exactly, and the break-even reduces to t* = t_now — the textbook symmetry between the two account types.

Updated Category 401(k), IRA & Tax-Advantaged Accounts Verified against published test cases Reading time 13 min

The question this actually settles

Pre-tax and Roth contributions differ in exactly one respect: when the government takes its share. A traditional IRA or pre-tax 401(k) deferral reduces your taxable income now and is taxed as ordinary income when you withdraw. A Roth contribution gets no deduction and is never taxed again, provided the distribution is qualified. Everything else — the investments, the growth, the compounding — is identical.

That makes the decision a comparison of two tax rates, not a comparison of two investment products. If your marginal rate in retirement matches your marginal rate today, and you invest the deduction the traditional route hands you, the two options finish in exactly the same place. That is not a rule of thumb; it falls out of the algebra, and the calculator reproduces it as a break-even figure.

The reason most online comparisons get this wrong is the deduction. Putting $7,000 into a Roth costs you $7,000 of money you have already been taxed on. Putting $7,000 into a traditional account at a 24% marginal rate costs you only $5,320 after the deduction, leaving $1,680 in your pocket. Compare the two accounts without doing something with that $1,680 and you have compared unequal outlays, which flatters whichever account you forgot to fund.

This calculator invests the $1,680 in a taxable side fund each year, so both options cost you exactly $7,000 out of pocket. The traditional side of the ledger then has two pieces — the taxed retirement balance plus the after-tax side fund — and the comparison is honest. If you would in practice spend the refund rather than invest it, untick the side-fund box; the calculator tells you plainly what that assumption does to the answer.

Why the break-even rate is a ratio, not a guess

Write F for the balance the contribution stream builds in either account before any tax — the same number both times, since both hold the same investments. The Roth is worth F at retirement, full stop. The traditional account is worth F(1 − t_ret) plus the side fund S.

Set them equal and solve. F(1 − t*) + S = F gives F − F·t* + S = F, so F·t* = S, so t* = S / F. The break-even retirement tax rate is simply the side fund expressed as a fraction of the account balance. Nothing else enters it — not the return, not the horizon, except through their effect on those two quantities.

Now check the special case. If the side fund pays no tax of its own, it is built from deposits of C·t_now compounded exactly like the main account's deposits of C, so S = t_now · F and the break-even collapses to t* = t_now. This is the symmetry that makes the whole comparison tractable: with no drag on the side fund, the two accounts are equal precisely when the two tax rates are equal. Give the side fund a positive tax rate and, in every case where that fund actually shows a gain, S shrinks below t_now·F, so t* falls below your current rate. (At a zero return there is no gain, nothing is taxed, and the break-even sits exactly on t_now whatever rate you enter.) Taxing the side fund therefore tilts the comparison toward the Roth, and the size of the tilt is the drag on that fund.

The direction to remember is this: the traditional total falls as the retirement rate rises, while the Roth total is flat. So a retirement rate below the break-even leaves the traditional route ahead, and a rate above it leaves the Roth ahead. The table and chart in the results show that crossing explicitly for your own numbers.

Worked example: $7,000 a year for 25 years, 24% now, 32% later

Assume $7,000 a year for 25 years at 7%, a 24% marginal rate today, a 32% marginal rate in retirement, and a side fund held untouched and taxed at 15% on its gain at the end.

  1. Annuity factor. 1.0725 = 5.427433, so (5.427433 − 1) ÷ 0.07 = 63.249037.
  2. Balance in either account. 7,000 × 63.249037 = $442,743.26.
  3. Roth spendable value. $442,743.26 — a qualified distribution is untaxed.
  4. Traditional after tax. 442,743.26 × (1 − 0.32) = $301,065.42.
  5. Side-fund deposits. 7,000 × 24% = $1,680 a year, so 25 × 1,680 = $42,000 of basis.
  6. Side fund before its own tax. 1,680 × 63.249037 = $106,258.38.
  7. Tax on the side fund. The gain is 106,258.38 − 42,000 = $64,258.38, taxed at 15% = $9,638.76, leaving $96,619.62.
  8. Traditional total. 301,065.42 + 96,619.62 = $397,685.04.
  9. Roth advantage. 442,743.26 − 397,685.04 = $45,058.22.
  10. Break-even. 96,619.62 ÷ 442,743.26 = 21.82%. Because the expected retirement rate of 32% is well above 21.82%, the Roth wins here — and it would still win at any retirement rate above 21.82%, even though that is below the 24% rate you pay today.

That last point is the one worth sitting with. The 15% tax on the side fund costs the traditional route about $9,600, which is why the break-even lands two percentage points below the current marginal rate rather than exactly on it.

How to pick your two tax rates

Your current marginal rate is the easy one: it is the federal band your last dollar of income falls into, plus your state rate if your state taxes income and does not exempt retirement contributions. Use the marginal rate, never the effective rate — the deduction comes off the top of your income, so it is worth the top rate.

The retirement rate is the hard one, and it is a forecast rather than a fact. Three considerations dominate. First, most retirees have lower gross income than they did while working, which argues for a lower rate. Second, required minimum distributions from pre-tax accounts start in your seventies and can push a large balance into a higher band whether you want the money or not; a $2 million pre-tax balance throws off roughly $75,000 in its first required distribution year under the Uniform Lifetime Table in IRS Publication 590-B, which on top of Social Security can leave a retiree in a higher band than they ever paid while employed. Third, statutory rates themselves change — the current federal schedule is a policy choice, not a constant, and forecasting it twenty-five years out is guesswork.

Because of that uncertainty, treat the break-even figure as a decision boundary rather than a prediction. If your break-even comes out at 22% and you think your retirement rate will be somewhere between 12% and 32%, the calculator has not chosen for you — it has told you the coin lands near the middle of your range, which is the classic argument for splitting contributions between the two account types and hedging.

Two structural factors sit outside the arithmetic and both favour the Roth. A Roth IRA has no required minimum distributions during the original owner's lifetime, so it can be left untouched and passed on. And at the contribution limit, a Roth contribution is economically larger than a traditional one: $7,000 of after-tax money is worth more than $7,000 of pre-tax money, and the limit is the same for both. A saver who genuinely maxes out every year is therefore sheltering more real value in the Roth. Model that case with the Roth IRA growth calculator.

After-tax retirement money at each possible retirement rate

$7,000 a year for 25 years at 7%, a 24% rate today, a side fund taxed once at 15% on its gain. The balance in either account is $442,743.26 and the after-tax side fund is $96,619.62; every traditional figure is 442,743.26 × (1 − rate) + 96,619.62.
Marginal rate in retirementTraditional + side fundRothRoth advantage
0%$539,362.88$442,743.26−$96,619.62
10%$495,088.55$442,743.26−$52,345.29
15%$472,951.39$442,743.26−$30,208.13
20%$450,814.23$442,743.26−$8,070.97
21.8249% (break-even)$442,743.26$442,743.26$0
24%$433,104.50$442,743.26$9,638.76
32%$397,685.04$442,743.26$45,058.22
37%$375,547.87$442,743.26$67,195.39

The Roth column never moves, because a qualified distribution carries no tax. Every dollar of difference comes from the traditional column, and the crossing point is the break-even rate the calculator reports.

Deductibility is not automatic

A traditional IRA contribution is only deductible in full if neither you nor your spouse is covered by a workplace retirement plan, or if your modified adjusted gross income falls below a threshold the IRS resets annually. Above the range the contribution is still permitted but non-deductible, which destroys the entire premise of this comparison — there is no tax saving to invest on the side, so a non-deductible traditional contribution is worse than a Roth contribution in nearly every case. Roth IRA contributions have their own separate MAGI phase-out, above which savers commonly use a conversion instead. Pre-tax and Roth 401(k) deferrals have no income limits at all, which is why the same comparison often points to a different answer inside a workplace plan than it does for an IRA. Check the current-year thresholds in IRS Publication 590-A before you rely on either deduction.

Assumptions this model makes, and where they bite

  • One flat rate in retirement. Real withdrawals fill the standard deduction and the lower bands before reaching your top rate, so the effective tax on a traditional balance is usually below the marginal rate you enter. That biases the comparison toward the Roth. If you expect modest withdrawals, enter a blended rate rather than your top band.
  • Contributions arrive at year end. This is the conservative convention. Funding in January instead adds roughly one extra year of growth to every contribution, in both options equally, so it moves both totals but barely touches the break-even.
  • The side fund is a single asset with a single tax rate. Real taxable portfolios throw off dividends taxed yearly and gains taxed on sale. The two side-fund settings bracket that reality; run both and see whether the conclusion changes.
  • No state-tax arbitrage. Moving from a high-tax state while working to a no-tax state in retirement is one of the strongest arguments for pre-tax contributions, and it is not modelled separately — fold it into your two rates.
  • No required minimum distributions. Pre-tax balances must begin distributing in your seventies whether you need the money or not; Roth IRAs need not during your lifetime. That difference is real and this model ignores it.
  • Contribution limits are treated as equal. They are equal in nominal dollars, which means the Roth limit is larger in economic terms. If you consistently max out, that advantage is worth more than most of the arithmetic above.

How this fits with the rest of the decision

Order of operations matters more than account type. Capture the full employer match before anything else, because that return dwarfs any tax effect here — the 401(k) growth calculator shows what the match alone contributes over a career. Then choose the wrapper using the break-even rate above, then think about where the money is invested.

Splitting contributions between pre-tax and Roth is not a failure to decide; it is a defensible hedge against tax-rate uncertainty, and it gives you two pools with different tax characteristics to draw on in retirement, which is what makes withdrawal sequencing possible. Many savers use pre-tax deferrals in peak earning years and Roth contributions in early-career or low-income years, which follows the arithmetic exactly.

Two adjacent decisions use different tools. A Roth conversion — moving existing pre-tax money into a Roth and paying tax now — turns on the same rate comparison but adds the question of where the tax payment comes from and how much of a single year's income you are willing to push into a higher band. And if you are considering pulling money out of a retirement account early rather than deciding where to put it, price that first with the early withdrawal penalty calculator; the combined income tax and 10% additional tax usually exceeds anything the Roth-versus-traditional choice is worth.

For comparing a retirement contribution against a completely different use of the money — repaying a loan, buying an asset, funding a business — put both on a discounted basis with the net present value calculator or find the hurdle rate with the internal rate of return calculator.

Frequently asked questions

Is a Roth or a traditional IRA better?

Whichever matches your tax rates. If your marginal rate in retirement will be higher than the break-even rate this calculator reports, the Roth ends ahead; if it will be lower, the pre-tax route plus its invested deduction ends ahead. For a 24% taxpayer with a 15% side-fund tax over 25 years the break-even sits near 22%, so anyone expecting a retirement rate above that should lean Roth. Young savers in low brackets almost always should.

What is the break-even tax rate and why is it below my current rate?

It is the retirement marginal rate at which both options give identical spendable money, and it equals the after-tax side fund divided by the account balance. It sits below your current rate whenever the side fund pays tax of its own, because that tax shrinks the offset the traditional route relies on. Set the side-fund tax rate to zero and the break-even lands exactly on your current marginal rate — the textbook symmetry result.

Why does the calculator invest the tax deduction separately?

To make the two options cost the same. A $7,000 Roth contribution uses $7,000 of after-tax money; a $7,000 traditional contribution at a 24% rate costs only $5,320 after the deduction. Comparing them without doing anything with the $1,680 difference compares unequal outlays and systematically flatters the Roth. If you would really spend the refund, untick the side-fund box — and expect the Roth to win by a wide margin on that assumption.

What retirement tax rate should I assume?

Start from your expected retirement income rather than your salary. Planners commonly size retirement spending at 70% to 85% of pre-retirement spending as a starting rule of thumb, and on that basis many households land a band lower. Push it back up if you expect a pension, large Social Security benefits, or a pre-tax balance big enough that required minimum distributions force sizeable withdrawals in your seventies. Because the number is a forecast, run the calculator at both ends of your plausible range and see whether the answer flips.

Does this work for a Roth 401(k) versus a pre-tax 401(k)?

Yes — the arithmetic is identical, only the contribution limit differs. Enter your annual deferral instead of the IRA limit. Two workplace-specific points: employer matching contributions may go to either a pre-tax or a designated Roth account under SECURE 2.0 depending on plan terms, and 401(k) deferrals have no income-based eligibility limits, so the deduction is always available to you regardless of income.

Should I split my contributions between both?

Splitting is a reasonable response to genuine uncertainty about future tax rates, not a failure to decide. It also gives you two pools with different tax treatment to draw from in retirement, which lets you manage your taxable income year by year — filling the low brackets from the pre-tax account and topping up from the Roth. If your break-even rate sits in the middle of the range you consider plausible, a split is the arithmetically defensible answer.

What if I cannot deduct my traditional IRA contribution?

Then choose the Roth. A non-deductible traditional contribution gives you no tax saving to invest on the side, so the traditional column loses its entire offset while still owing tax on the earnings at withdrawal. Deductibility phases out by modified adjusted gross income when you or your spouse is covered by a workplace plan. Some savers in that position use a non-deductible contribution followed by a conversion, which brings the pro-rata rule into play across all their traditional IRAs.

Does the comparison account for required minimum distributions?

No, and that omission favours the traditional side. Pre-tax IRAs and 401(k)s must start distributing in your seventies whether you need the money or not, which can force taxable income you would rather defer and can raise the tax on your Social Security benefits. A Roth IRA has no lifetime required distributions. Treat that as a thumb on the scale toward the Roth, on top of whatever the dollar figures say.

How much difference does the return assumption make?

Less than you would expect to the decision, and a great deal to the totals. A higher return scales both the account balance and the side fund by the same annuity factor, so the break-even rate barely moves; what changes is the size of the dollar advantage. That is a useful property — it means the choice between pre-tax and Roth is robust to being wrong about markets, and sensitive mainly to being wrong about tax rates.

References