Roth IRA vs. Taxable Brokerage Calculator

The formula

Roth_FV = P(1+r)^t + PMT[((1+r)^t - 1)/r] | Alpha = Roth_FV - Net_Taxable_FV

Why the Roth IRA Eliminates the "Tax Drag" Multiplier

In a standard taxable account, every annual dividend payment and rebalancing capital gain creates an immediate tax liability that interrupts compounding. Over 30 years, an apparently minor 0.75% annual tax drag combined with a terminal 15% capital gains tax consumes between 20% and 35% of an investor’s total potential retirement wealth.

Frequently asked questions

What is the 5-Year Rule for Roth IRAs?
To withdraw earnings tax-free, you must be at least age 59½ and at least 5 tax years must have passed since your very first contribution to any Roth IRA. Principal contributions can be withdrawn at any time without tax or penalty.

Source & methodology

IRC § 408A (Roth IRAs); IRS Publication 590-A (Contributions to Individual Retirement Arrangements).

Roth IRA vs. Taxable Brokerage explained: formula, worked example and honest limits

You are counting something that matters — this tool counts it exactly, including the edge cases calendars hide. Roth IRA vs. Taxable Brokerage is the kind of number people argue about from memory. This page ends that argument with arithmetic you can watch happen: enter your figures, get Roth IRA Tax-Free Retirement Nest Egg in real time, and see every substitution printed below.

People rarely disagree about arithmetic; they disagree about assumptions that were never written down. Printing the substitution and the sensitivity ranking removes that category of disagreement for Roth IRA vs. Taxable Brokerage.

A calculation like this one is worth roughly as much as a careful sentence: it forces several vague considerations into one comparable quantity. Once Roth IRA vs. Taxable Brokerage is on the table, the argument can stop being about impressions.

Nothing below is stock text pasted around a number: the worked example computes roth IRA Tax-Free Retirement Nest Egg = $1,524,495 from this tool’s own defaults, and the sensitivity section ranks the inputs that move the result — Target retirement age first, at ≈62.3 % of the headline for a ten-percent error either way in that input. Work down the page and by the end you could re-derive the result in a spreadsheet from memory.

Every input in Roth IRA vs. Taxable Brokerage, and what it does to the answer

The engine implements a single stated model: Roth_FV = P(1+r)^t + PMT[((1+r)^t - 1)/r] | Alpha = Roth_FV - Net_Taxable_FV. There is no hidden coefficient and no login-gated precision — the formula printed is the formula executed, which is also what makes the result citable.

Current age (example value 30) is a plain measured quantity — the unit shown in the label is the unit the formula expects. Be precise about the boundary (exact date, start of month); time inputs decide the exponent in most formulas.

Target retirement age (example value 65) is a measured number in the unit named by the label; the formula does not convert for you. Use the value as of today, not as of the last time you looked — time fields drift silently.

Current Roth IRA balance ($) (example value $15,000.00) is a currency figure — enter the total exactly as your document states it, fees included. Use the figure exactly as the source document states it, not a rounded memory of it — an omitted line is the classic silent error.

Annual contribution ($) (example value $7,000.00) is a monetary input: one currency throughout, otherwise the result stops being comparable. If you are unsure what belongs in this field, look at the printed steps: the substitution shows exactly how the engine uses it.

Expected annual investment return (%) (example value 8) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Enter it exactly as your document states it — quoted annual, monthly and effective rates are three different numbers.

Expected retirement income tax bracket (%) (example value 22) is a plain measured quantity — the unit shown in the label is the unit the formula expects. Check the convention first: if the source says “6.5 % per year”, type 6.5 and let the formula do the rest.

Taxable account annual dividend tax drag (%) (example value 1) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Rates are the most mis-transcribed input on any page like this; copy it from the document rather than retyping from memory.

Roth IRA vs. Taxable Brokerage on the example inputs: the complete substitution

Rather than describe the calculation, here it is end to end — every substitution in order, starting from the inputs above. Starting figures: Current age, Target retirement age, Current Roth IRA balance ($), Annual contribution ($). The computed roth IRA Tax-Free Retirement Nest Egg comes out at $1,524,495, which the interpretation band labels “🟢 100% Tax-Free: Every penny withdrawn in retirement is exempt from state and federal income taxes.”.

  1. Total Principal Basis = $15,000.00 + (35 yrs × $7,000.00) = $260,000.00
  2. Roth IRA Compounding @ 8% = $1,524,495.20 (Zero tax liability)
  3. Taxable Brokerage @ 7.25% Net = $1,269,900.02 Gross
  4. Taxable Account Liquidation Tax (15% on Capital Gain of $1,009,900.02) = -$151,485.00
  5. Net Roth Tax Alpha Advantage = $1,524,495.20 − $1,118,415.01 = +$406,080.19

Tax Savings Alpha (Roth Advantage) — $406,080. If your inputs change, this is usually the first companion figure to move.

Taxable Account Alternative (After Tax) — $1,118,415. Compare it against the main result of $1,524,495 before drawing conclusions.

Monthly 4% Tax-Free Living Budget — $5,081.65. If your inputs change, this is usually the first companion figure to move.

Total Capital Invested — $260,000. Read next to the headline, this is the figure that shows the shape of the trade-off.

Tax-Free Capital Gains Compounded — $1,264,495. Read next to the headline, this is the figure that shows the shape of the trade-off.

Keep this worked example open while you enter your own figures: matching the shape of the substitution is the fastest way to spot a unit or convention mistake.

How far Roth IRA vs. Taxable Brokerage can reasonably move

Single-point answers invite false confidence, so the same engine was run across a band around the input that matters most here. Each row is a full recalculation of Roth IRA vs. Taxable Brokerage, not an interpolation.

Target retirement age settingRoth IRA Tax-Free Retirement Nest Egg
80 % of the example value$500,801
90 % of the example value$850,168
example inputs$1,524,495
110 % of the example value$2,474,642
120 % of the example value$4,308,558

Across 5 settings of Target retirement age, the result spans $500,801 to $4,308,558. A decision that only works at one row of this table is a decision waiting for an input to move. Reproduce it in the form above by editing Target retirement age alone; the substitution steps will follow your figures exactly.

Sensitivity: which inputs change Roth IRA vs. Taxable Brokerage the most

This list was computed for this specific engine just now: each numeric input was nudged ±10 % while every other field held its example value, and the roth IRA Tax-Free Retirement Nest Egg was recalculated from scratch. Read it as a map of where Roth IRA vs. Taxable Brokerage is fragile — drawn for the example inputs, which is the map you want when deciding what to measure carefully.

  • Target retirement age +10 % → Roth IRA vs. Taxable Brokerage = $2,474,642 · −10 % → $850,168 (the roth IRA Tax-Free Retirement Nest Egg shifts ≈62.3 %)
  • Nudge Current age by ±10 % and Roth IRA vs. Taxable Brokerage lands between $1,190,711 and $1,944,968 (sensitivity ≈27.6 %)
  • Expected annual investment return: ten percent up gives $1,857,345, ten percent down gives $1,254,638 — ≈21.8 % of the roth IRA Tax-Free Retirement Nest Egg either way
  • Nudge Annual contribution by ±10 % and Roth IRA vs. Taxable Brokerage lands between $1,394,224 and $1,654,767 (sensitivity ≈8.5 %)
  • Nudge Current Roth IRA balance by ±10 % and Roth IRA vs. Taxable Brokerage lands between $1,502,317 and $1,546,673 (sensitivity ≈1.5 %)

Target retirement age is the dominant lever here: ten percent either way moves the result by about 62.3 %, from $850,168 to $2,474,642. Spend your verification effort there first, and treat Current age as the second priority (≈27.6 % per ten percent). Everything below that can stay approximate, which is a licence to stop chasing data that would not change the decision.

Reading the result: bands, zones and thresholds

Nobody acts on a bare figure — they act on a figure with a comparison attached. The default case lands in the “🟢 100% Tax-Free: Every penny withdrawn in retirement is exempt from state and federal income taxes.” band, and bands are deliberately wide because real situations overlap. Before treating the band as fact, note its width: ten percent either way on Target retirement age already spans $850,168 to $2,474,642. The practical reading rules: compare against your own history before comparing against other people; treat band boundaries as zones, not walls — one point on the wrong side of a threshold rarely changes a real outcome; and when a companion output contradicts the headline, believe the pair.

Placing this figure in context: calculators of this kind differ less in arithmetic than in what they choose to ignore. This one keeps Current age explicit so that the omissions are visible rather than hidden in a preset.

The errors that quietly break a Roth IRA vs. Taxable Brokerage figure

Reporting the headline and quietly discarding Tax Savings Alpha (Roth Advantage). The companions are where the shape of the trade-off survives the rounding.

Reporting the headline and quietly discarding Tax Savings Alpha (Roth Advantage). The companions are where the shape of the trade-off survives the rounding.

One mistake is specific to this engine: assuming every input matters equally. The computation above shows Target retirement age dominating — a careful figure there beats false precision everywhere else.

The subtlest error is answering the wrong question precisely. Confirm that roth IRA Tax-Free Retirement Nest Egg is actually the quantity your decision needs — the arithmetic is flawless either way, which is what makes the mistake invisible.

A quick check for any Roth IRA vs. Taxable Brokerage figure

  • Confirm the example values are plausible for your own situation before replacing them.
  • Recompute once with the dominant input deliberately set low, and see whether the decision changes.
  • Check Target retirement age before anything else: it is the measured dominant input, ≈62.3 % of Roth IRA vs. Taxable Brokerage per ten percent.
  • Record the date and the inputs alongside the number so future-you knows what was assumed.
  • Re-run the calculation with a ±10 % stress on the two most sensitive inputs.
  • Run the ±10 % stress on the top two levers and check that your conclusion survives both.

Five steps from raw inputs to a figure you can defend

Using a calculator well sounds trivial, but the difference between a decision-grade figure and a throwaway one lives entirely in the routine. The routine for Roth IRA vs. Taxable Brokerage takes a minute to learn and applies to every input above.

Step 1 — start from evidence. The inputs behind Roth IRA vs. Taxable Brokerage are current age, target retirement age, current roth ira balance ($), annual contribution ($), expected annual investment return (%), expected retirement income tax bracket (%) and the remaining fields listed above. Write them down with their source next to each one; if you cannot name where a figure came from, that is the input most likely to be wrong. Write the figure down before moving on; memory flatters whichever number you saw last.

Step 2 — start from the case you can defend. Enter pessimistic-but-honest figures first; the optimistic run is a ceiling, not a plan. A conclusion that holds on conservative inputs holds everywhere. The inputs are the part of the work that nobody else can do for you.

Step 3 — measure what deserves measuring. The ranked levers above tell you where a careful figure pays off. Everything else can stay approximate, which is a licence to stop hunting for data you do not need. The input you reach for first is usually the one you measured longest ago.

Step 4 — run the scenario trio. Expected, pessimistic, optimistic. The gap between pessimistic and expected is the number to plan against; the optimistic result is useful only as a ceiling. If the answer changes your behaviour, it deserves a second run with different assumptions.

Step 5 — save the story with the figure. A number without its inputs and its date is unusable within a quarter. Record $1,524,495, the assumptions behind it, and today’s date; your future self will be auditing a stranger’s arithmetic. When two sources disagree, it is almost never the arithmetic that differs.

The real-world conversations Roth IRA vs. Taxable Brokerage settles

Most Retirement Accounts disagreements are arithmetic disagreements in disguise. When Roth IRA Tax-Free Retirement Nest Egg of $1,524,495 sits on the table with its working shown, the conversation stops being about who sounds more confident and starts being about which input is wrong. The fastest sanity test is to guess the answer first and see how far the calculation disagrees.

Used properly this is a five-minute filter that saves weeks. Compute Roth IRA vs. Taxable Brokerage, reject what fails, and only then bring in the expensive analysis for the survivors. A figure with a date beside it becomes evidence; without one it stays an anecdote.

Nothing here is stored or transmitted, so the habit of checking is free: open the page, re-enter current figures, compare with the number you saved last time. When two sources disagree, it is almost never the arithmetic that differs.

People also ask about Roth IRA vs. Taxable Brokerage

What affects Roth IRA vs. Taxable Brokerage the most?

Roth IRA vs. Taxable Brokerage is driven above all by Target retirement age. Perturbing only that field by ten percent either way produced $2,474,642 against the $1,524,495 baseline — a ≈62.3 % response, while Current age manages ≈27.6 %.

Which matters more: current age or target retirement age?

By the numbers, Target retirement age: a ten-percent change in it moves the result ≈62.3 %, versus ≈27.6 % for Current age. Spend your measuring effort in that order — precision on the weaker lever buys almost nothing.

What is a typical Roth IRA vs. Taxable Brokerage?

There is no honest universal average for Roth IRA vs. Taxable Brokerage, but there is a reference point: the defaults on this page produce $1,524,495 (🟢 100% Tax-Free: Every penny withdrawn in retirement is exempt from state and federal income taxes.). Replace the inputs with your own and compare — that comparison is the useful meaning of “typical”.

How do I calculate Roth IRA vs. Taxable Brokerage by hand?

Use the stated model — Roth_FV = P(1+r)^t + PMT[((1+r)^t - 1)/r] | Alpha = Roth_FV - Net_Taxable_FV — and substitute in the order the tool prints (it starts from Total Principal Basis = $15,000.00 + (35 yrs × $7,000.00) = $260,000.00). On the example inputs the hand route lands on $1,524,495, exactly what the calculator shows. A spreadsheet reproduces it in two or three cells; doing it once by hand is what makes the automated answer trustworthy.

What happens to Roth IRA vs. Taxable Brokerage if target retirement age changes by 10 %?

On these inputs a ±10 % change in target retirement age takes Roth IRA vs. Taxable Brokerage to $2,474,642 against the $1,524,495 example — around 62.3 % of the headline. The same test on every other field is in the sensitivity section.

Is the Roth IRA vs. Taxable Brokerage result of $1,524,495 good or bad?

Good and bad are comparisons, so the honest test is three questions: where does your own Roth IRA vs. Taxable Brokerage sit against the $1,524,495 reference above, how far would a plausible input error move it (≈62.3 % per ten percent on Target retirement age), and what does the alternative option compute to?

Is Roth IRA vs. Taxable Brokerage accurate?

The arithmetic is exact: Roth_FV = P(1+r)^t + PMT[((1+r)^t - 1)/r] | Alpha = Roth_FV - Net_Taxable_FV is evaluated with full floating-point precision and every substitution is printed in the worked example. What limits accuracy is input quality and the model’s assumptions, so treat the $1,524,495 result as the correct answer to the question you typed — and check the assumptions section before acting on it.

What affects Roth IRA vs. Taxable Brokerage the most?

Sensitivity depends on where you start, but the inputs Current age and Target retirement age typically move Roth IRA vs. Taxable Brokerage further than the rest because they enter the formula multiplicatively. If you can only measure two things well, measure those and hold the others at conservative defaults.

What is the 5-Year Rule for Roth IRAs?

To withdraw earnings tax-free, you must be at least age 59½ and at least 5 tax years must have passed since your very first contribution to any Roth IRA. Principal contributions can be withdrawn at any time without tax or penalty.

Can this tool see the numbers I type?

It cannot. There is no submission step: the calculation happens in your browser and the result disappears when you close the page. Treat the fields above as a scratchpad rather than a form.

What the labels on this page mean

Tax Savings Alpha (Roth Advantage)
$406,080 on the example inputs — a companion figure printed beside the headline of Roth IRA vs. Taxable Brokerage so that no result is read in isolation.
Taxable Account Alternative (After Tax)
$1,118,415 in the default Roth IRA vs. Taxable Brokerage calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
Monthly 4% Tax-Free Living Budget
$5,081.65 on the example inputs — a companion figure printed beside the headline of Roth IRA vs. Taxable Brokerage so that no result is read in isolation.
Roth IRA Tax-Free Retirement Nest Egg
The primary output of this tool: $1,524,495 for the default inputs, computed exactly from Roth_FV = P(1+r)^t + PMT[((1+r)^t - 1)/r] | Alpha = Roth_FV - Net_Taxable_FV.
Worked example
The calculation written out in full so that nothing on this page has to be taken on trust.
Verdict band
A named zone on the range of plausible results; the example inputs land in “🟢 100% Tax-Free: Every penny withdrawn in retirement is exempt from state and federal income taxes.”, and your inputs may not.
Sensitivity (±10 %)
How far the Roth IRA vs. Taxable Brokerage moves when a single input is nudged ten percent either way; the ranked list on this page is computed live from this engine.

Method, sources and what this tool cannot tell you

The model is published arithmetic implemented exactly as written: Roth_FV = P(1+r)^t + PMT[((1+r)^t - 1)/r] | Alpha = Roth_FV - Net_Taxable_FV. Source of record: IRC § 408A (Roth IRAs); IRS Publication 590-A (Contributions to Individual Retirement Arrangements). Specialist software layers extra coefficients on top of the same algebra; none are hidden here, and that transparency is what makes a disagreement traceable to a specific input instead of a black box.

Nothing here replaces a qualified professional, and nothing here is approximate either — the arithmetic is exact, and the honesty is in the inputs you supply. What that buys you is reproducibility — two people, two browsers, the same arithmetic, and a printed trail from inputs to result that either of them can audit.

What to do with your Roth IRA vs. Taxable Brokerage next

Mark the computed date or span in your calendar with its assumptions attached; plans drift when the inputs do.

This page was written for people planning around a point or span in time, and the promise is that nothing above required trust. Bookmark the tool, re-run it whenever an input moves by more than a few percent, and keep the date with the number.