Tax planning

Tax Deferred Accumulation Calculator

Run identical contributions through a taxable account charged a modeled rate on its earnings every year, and a tax-deferred account charged once at the end.

Written by , Editor

Reviewed by Ugo Candido, MBA

Last reviewed

Introduction

Tax deferral is usually explained as paying tax later. That undersells half of it and oversells the other half. The half it undersells: money that would have gone to tax each year stays invested and compounds, so deferral raises the rate at which a balance actually grows rather than simply moving a payment to the end. The half it oversells: the tax still arrives, and if it lands on a larger balance at a higher rate, the arithmetic can go the other way.

This calculator makes both halves visible by running the same contributions through two accounts and carrying each to an after-tax value. The taxable account is charged a single modeled rate on its investment earnings at each year end. The tax-deferred account is charged nothing during accumulation and once at the comparison date. Nothing else differs between them.

It is a tax-drag model, not a tax return. It has no brackets, no dividend or capital-gain rates, no realisation lots, no deductions and no required distributions. Two numbers you enter carry the whole comparison, and the calculator's job is to show exactly what those two numbers do — including the modeled rate at which the two paths break even.

Taxable against tax-deferred

Equal nominal contributions into both accounts. The taxable one is charged a modeled rate on its earnings every year; the deferred one is charged once, at the end.

Cash flows
End: the period's growth is credited, then the deposit lands. Start: the deposit lands first and earns that period's growth too. Both accounts use the same convention.
Optional. Year one uses the amount above; each subsequent year steps up by this much, in both accounts alike.
Return and modeled tax
Treated as an effective annual return: the period rate is its exact n-th root, so the contribution frequency never changes the annual return you assumed.
One modeled rate standing in for interest, dividends and realised gains together. It is charged at each year end on that year's investment earnings only — never on contributions or principal — and a losing year is charged nothing.
Applied once, to the tax-deferred account, at the comparison date.
Whole balance: the simplified pre-tax assumption, where every dollar is taxable on the way out. Earnings only: what a nondeductible contribution would leave behind. These are different economic models — see the note under the result.
Sensitivity band
Taxable path is higher after tax
$3,941

$347,444 after tax in the deferred account against $351,386 in the taxable one, on equal nominal contributions over 25 years at 6.00% a year. Under these assumptions only.

Taxable ending balance$351,386$55,701 of tax modeled along the way
Tax-deferred, before withdrawal tax$445,441Also the no-tax benchmark for the same cash flows
Tax modeled at withdrawal$97,99722.00% of the whole balance
Tax-deferred after tax$347,444
Cost of taxing along the way$94,05621.1% of the untaxed balance — $38,355 of it growth those taxes never earned
After-tax difference−$3,941-1.12% against the taxable balance

What equal contributions mean here. Both accounts receive the same nominal dollars. Because the withdrawal tax is applied to the whole deferred balance, the deferred contributions are being treated as pre-tax dollars — but no current-year deduction is credited for them. That understates a real deductible contribution, and it is why this setting can leave the taxable path ahead. Switch the base to earnings only to model contributions that were already taxed.

Modeled break-even withdrawal tax rate: 21.12%. Re-running the whole comparison at the exact solved rate leaves $0.00 between the two paths; typing the rounded 21.12% back into the field above leaves -$21.48, which is the two-decimal rounding on a $445,441 base. Your 22.00% sits above it, which is why the deferred path is behind here. It is a break-even point, not a recommendation.

Taxable account: what the modeled tax leaves behind
  • Contributions and starting balance: $175,000 (39.3%)
  • Growth kept: $176,386 (39.6%)
  • Tax modeled during accumulation: $55,701 (12.5%)
  • Growth those taxes would have earned: $38,355 (8.6%)
Tax-deferred account: the same money, taxed once at the end
  • Contributions and starting balance: $175,000 (39.3%)
  • Growth kept: $172,444 (38.7%)
  • Tax modeled at withdrawal: $97,997 (22.0%)
  • Growth those taxes would have earned: $0 (0.0%)
Where each path pays, and when
MeasureTaxable accountTax-deferred account
Contributions and starting balance$175,000$175,000
Gross investment growth modeled$232,086$270,441
Tax modeled during accumulation$55,701$0
Balance at the comparison date$351,386$445,441
Tax modeled at withdrawal$0$97,997
After-tax value$351,386$347,444

Nothing is modeled as paid by the deferred account during accumulation, and nothing by the taxable account at withdrawal. That timing is the whole comparison.

Scroll the table sideways on a narrow screen to see every column.

After-tax difference under different assumptions (drag ±8 points, withdrawal rate ±8 points)
Annual drag ↓ / Withdrawal →14% at withdrawal22% at withdrawal30% at withdrawal
16% drag$3,082-$32,553-$68,188
24% drag (selected)$31,694-$3,941-$39,577
32% drag$57,881$22,246-$13,389

A positive figure means the tax-deferred path ends higher after tax. Heavier annual drag pushes the comparison toward deferral; a heavier withdrawal rate pushes it away.

Scroll the table sideways on a narrow screen to see every column.

How time changes the cost of annual tax drag, at 24.00% a year
YearsTaxable ending balanceDeferred after-tax balanceDifferenceTax paid during accumulation
5$64,787$53,195-$11,592$3,091
10$114,512$98,286-$16,226$9,320
20$254,322$239,380-$14,942$34,523
30$472,692$492,058$19,366$84,534
40$813,766$944,566$130,799$173,295

Each row is a full run at that horizon, not an interpolation. The sign of the difference does not have to move in one direction: a terminal tax charged on principal costs the same fraction whenever it lands, while the compounding advantage keeps building.

Scroll the table sideways on a narrow screen to see every column.

The same comparison across annual drag rates
Annual tax dragTaxable ending balanceTax paid along the wayDifference vs deferred
0.0%$445,441$0-$97,997
10.0%$403,186$25,354-$55,741
20.0%$365,374$47,594-$17,930
30.0%$331,530$67,084$15,915
40.0%$301,224$84,149$46,220

Scroll the table sideways on a narrow screen to see every column.

Year by year
YearTaxable openingGross earningsTax paidContributionsTaxable endingDeferred endingTax to dateBalance gap
1$25,000$1,663$399$6,000$32,264$32,663$399$399
2$32,264$2,099$504$6,000$39,859$40,786$903$927
3$39,859$2,555$613$6,000$47,801$49,397$1,516$1,596
4$47,801$3,031$728$6,000$56,105$58,524$2,244$2,419
5$56,105$3,530$847$6,000$64,787$68,199$3,091$3,411
6$64,787$4,051$972$6,000$73,866$78,454$4,063$4,588
7$73,866$4,595$1,103$6,000$83,358$89,324$5,166$5,966
8$83,358$5,165$1,240$6,000$93,283$100,847$6,405$7,564
9$93,283$5,760$1,382$6,000$103,661$113,061$7,788$9,400
10$103,661$6,383$1,532$6,000$114,512$126,008$9,320$11,496
11$114,512$7,034$1,688$6,000$125,858$139,732$11,008$13,874
12$125,858$7,715$1,852$6,000$137,721$154,279$12,859$16,558
13$137,721$8,427$2,022$6,000$150,125$169,699$14,882$19,573
14$150,125$9,171$2,201$6,000$163,095$186,044$17,083$22,949
15$163,095$9,949$2,388$6,000$176,656$203,370$19,470$26,714
16$176,656$10,763$2,583$6,000$190,836$221,735$22,053$30,899
17$190,836$11,613$2,787$6,000$205,662$241,203$24,841$35,541
18$205,662$12,503$3,001$6,000$221,164$261,838$27,841$40,674
19$221,164$13,433$3,224$6,000$237,374$283,712$31,065$46,338
20$237,374$14,406$3,457$6,000$254,322$306,898$34,523$52,576
21$254,322$15,423$3,701$6,000$272,043$331,475$38,224$59,432
22$272,043$16,486$3,957$6,000$290,572$357,527$42,181$66,954
23$290,572$17,598$4,223$6,000$309,947$385,141$46,404$75,195
24$309,947$18,760$4,502$6,000$330,204$414,413$50,907$84,209
25$330,204$19,976$4,794$6,000$351,386$445,441$55,701$94,056

Every headline figure above is a total of these rows. Each year's tax is that year's gross earnings multiplied by the drag rate, charged at year end; the balance gap is measured before the withdrawal tax is applied.

Scroll the table sideways on a narrow screen to see every column.

How to read this result

Three assumptions drive the answer and a fourth decides how much they matter. The return sets how much there is to tax. The annual drag rate sets how much the taxable account loses each year. The withdrawal rate sets what the deferred account gives back at the end. Time is the fourth, and it is the reason deferral can win despite the tax still being paid: a dollar not sent to the tax authority in year three is a dollar still compounding in year twenty-five.

The cost-of-taxing-along-the-way figure is the clearest single diagnostic, because it is always larger than the tax bills themselves. In the worked example below, $55,701 of tax is charged over 25 years but the taxable account ends $94,056 behind — the extra $38,355, roughly two-fifths of the total, is growth those tax dollars would have earned had they stayed invested. That gap is the entire mechanism, and it widens with the horizon.

Read the break-even withdrawal rate before reading the difference. It is the modeled rate at which the two paths land level, and it tells you which side of the line your own assumption sits on. Below it the deferred path ends higher; above it the taxable path does. It is a property of the arithmetic, not a recommendation about which account to use.

The setting that matters most, and is easiest to miss, is what the withdrawal tax applies to. Taxing the whole deferred balance treats the contributions as pre-tax dollars while still comparing them against equal nominal after-tax dollars in the taxable account — which is why that setting can leave the taxable path ahead. Taxing earnings only compares like with like. Neither is wrong; they answer different questions, and the calculator says which one is running.

  • Taxable ending balance, and the tax modeled during accumulation.
  • Tax-deferred balance before the withdrawal tax — also the no-tax benchmark for the same cash flows.
  • Tax modeled at withdrawal, and the after-tax value that leaves.
  • The cost of taxing along the way, split into the tax bills and the growth they never earned.
  • After-tax difference, in dollars and as a percentage of the taxable balance.
  • The modeled break-even withdrawal tax rate, with the comparison re-run at that rate.

Formula and methodology

One period-by-period run produces every figure on this page. Both accounts receive identical cash flows and compound at the same gross period rate. The entered return is an effective annual rate and the period rate is its exact n-th root, i = (1 + r)^(1/n) − 1, so moving from monthly to weekly contributions changes when money lands but never the annual return assumed.

The taxable account is charged at each year end, on that year's total gross investment earnings, at the drag rate you enter. Nothing is charged on contributions and nothing on principal — only on modeled earnings. A year of negative earnings is charged nothing and generates no credit, because no loss-offset model is implemented; losses are not carried forward either.

Charging tax annually against an explicit earnings figure is a deliberate choice. It means every row of the schedule can be checked by hand: that year's tax is that year's gross earnings multiplied by the rate, and nothing else. The alternative — compounding the taxable account at r(1 − t) — happens to land within about a hundredth of a percent of this over long horizons, but it never shows what was charged on what, so it cannot be audited. With annual periods and no contributions the two are identical, which is the boundary case pinned in the test suite.

The tax-deferred account is charged nothing during accumulation. Because it receives the same cash flows and pays nothing along the way, its gross balance is also the no-tax benchmark for those contributions, which is why the page uses one number for both.

At the comparison date a single modeled rate is applied to the deferred balance, against one of two bases you choose. The whole balance is the simplified traditional pre-tax assumption: every dollar is taxable on the way out. Earnings only is what a contribution made from already-taxed money would leave behind. The choice changes the answer materially, so it is an explicit input rather than a hidden default.

Contribution timing changes the order of operations inside each period and nothing else, identically in both accounts: at end-of-period the balance grows and the deposit lands afterwards; at start-of-period the deposit lands first and earns that period's growth too. An annual contribution increase steps the deposit once a year, on the anniversary, in both accounts alike.

Period rate from the entered annual return

i = (1 + r)^(1/n) − 1
  • r — the effective annual return you entered; n — contributions per year
  • The convention used by Quantus investment calculators that do not expose a separate compounding-frequency input

The taxable account, one year at a time

E = Σ over the year of (balance × i) tax = t × max(E, 0) balance ← balance + E + contributions − tax
  • E — that year's gross investment earnings; t — the modeled annual drag rate
  • The tax base is E alone: never contributions, never principal
  • A losing year is charged nothing, and no credit or carry-forward is modeled

The tax-deferred account

balance compounds gross with no annual charge, then: after-tax = balance − f × base
  • f — the modeled withdrawal tax rate
  • base = the whole balance, or the balance less principal, as selected
  • Its gross balance is also the no-tax benchmark for the same cash flows

Modeled break-even withdrawal tax rate

f* = (deferred balance − taxable balance) ÷ base
  • The after-tax deferred value is linear in f, so the root is exact rather than searched
  • The comparison is then re-run at f* and the residual reported
  • Reported as having no solution when the base is zero, or when f* falls outside the supported rate range

The break-even rate is solved analytically and verified in the test suite against an independent bisection run on a reference ledger written separately from the engine. The ledger itself is checked the same way: an independent accumulation loop with its own year-end tax charge has to reproduce every balance, every annual tax figure and every schedule total.

This calculator compares generic tax timing. The Roth conversion calculator handles a specific decision with IRA basis, Form 8606 pro-rata and the tax due on converting now. The retirement savings calculator answers whether a plan reaches a retirement capital target. The savings goal planner solves for the deposit, the time or the balance behind a fixed target. None of them overlaps with the question here, which is only what annual taxation costs compounding and what deferring it is worth.

Worked example

Take $25,000 to start and $500 a month for 25 years at a 6% effective annual return, with 24% modeled as the annual drag on investment earnings and 22% modeled at withdrawal. Contributions total $150,000, so $175,000 goes in altogether.

In year one the taxable account earns $1,663.26 gross and is charged $399.18 — exactly 24% of those earnings — leaving it at $32,264.08 against the deferred account's $32,663.26. The gap after one year is the single tax bill. By year 25 the taxable account holds $351,385.54 having paid $55,700.70 in total, while the deferred account holds $445,441.25. The $94,055.71 between them is more than the tax bills: $38,355.02 of it, about two-fifths, is growth the tax dollars would have earned.

What happens next depends entirely on the withdrawal base. Taxing the whole deferred balance at 22% takes $97,997.07 and leaves $347,444.17 — $3,941.36 below the taxable account. Taxing the $270,441.25 of earnings alone takes $59,497.07 and leaves $385,944.17, which is $34,558.63 above it, or 9.83% more. Same accumulation, opposite conclusion, because the second version compares equal after-tax dollars and the first does not.

The break-even rates say the same thing more precisely. Against the whole balance the two paths land level at a modeled 21.12% — just under the 22% assumed, which is why the taxable path edges ahead. Against earnings only they land level at 34.78%, well above 22%, so deferral leads comfortably. Neither figure is a recommendation; both are the point at which the arithmetic changes sign.

How time changes the cost of annual tax drag
YearsTaxable ending balanceDeferred after-tax balanceDifferenceTaxes paid during accumulation
5$64,787$53,195−$11,592$3,091
10$114,512$98,286−$16,226$9,320
20$254,322$239,380−$14,942$34,523
30$472,692$492,058+$19,366$84,534
40$813,766$944,566+$130,799$173,295

$25,000 plus $500 a month at 6%, 24% annual drag, 22% modeled at withdrawal on the whole deferred balance. The difference is negative at first because that terminal rate falls on contributions as well as growth; the compounding advantage overtakes it somewhere in the twenties and then runs away.

Assumptions and limitations

What this calculator does not do

  • Equal nominal contributions are not a full economic comparison. When the withdrawal tax applies to the whole deferred balance, those contributions are being treated as pre-tax dollars while the taxable account's identical dollars are after-tax — and no current-year deduction is credited for the difference. That understates a real deductible contribution. Use the earnings-only base to compare already-taxed dollars on both sides.
  • The annual drag is one modeled assumption standing in for several different things. A real taxable portfolio faces ordinary rates on interest, different rates on qualified dividends, and capital-gains rates only when a position is actually sold — each on its own timing. Compressing all of that into a single rate is the central simplification here.
  • It does not model tax brackets, thresholds, surtaxes or any jurisdiction's specific rules, and it does not change either rate over time.
  • It does not model tax-lot realisation, loss harvesting, wash sales or a step-up in basis.
  • It does not model contribution deductions, account-specific limits, eligibility rules, required minimum distributions, early-withdrawal penalties or partial withdrawals across several years.
  • It does not model Roth treatment, where qualified withdrawals are untaxed — the Roth conversion calculator covers that decision.
  • Both rates are modeling assumptions you enter, not tax advice, and the calculator embeds no rate of its own.

Not tax advice. This is a simplified comparison for education, not tax advice. Actual tax treatment depends on the account type, the security held, your jurisdiction and rules that change over time. Consult a qualified tax professional before acting on it.

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Further reading

Sources and references

  • Publication 550: Investment Income and Expenses Internal Revenue Service
    Covers the treatment of interest, dividends and capital gains in a taxable account — the three streams this calculator compresses into one modeled annual rate.
  • Publication 590-B: Distributions from Individual Retirement Arrangements Internal Revenue Service
    Covers how distributions from tax-deferred retirement accounts are taxed, including why a fully deductible account is taxable in full on the way out.
  • 26 U.S.C. § 408 — Individual retirement accounts Office of the Law Revision Counsel, U.S. House of Representatives
    The statute behind the publications above, including the rule that amounts paid out of an individual retirement account are included in gross income. That is the basis for the whole-balance withdrawal option modeled on this page, as against the earnings-only option.
  • What You Should Know About Your Retirement Plan U.S. Department of Labor, Employee Benefits Security Administration
    Eligibility, participation and vesting rules for employer-sponsored plans — the account-specific limits this comparison explicitly does not apply. The page models tax timing only, and assumes both accounts accept identical contributions.

The calculator embeds no tax rates or thresholds. It applies only the rates you enter, which is why they must be checked against current rules.

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About the author

This page was written by , editor of Quantus Tools & Intelligence, who is the named author of the calculator documentation and the written analysis published on this site.

It was reviewed before publication by Ugo Candido, MBA, and last verified on . The editorial policy sets out what that review checks and how a correction is made.