The standard deduction is where the refund starts
Before a single bracket applies, the standard deduction wipes out a chunk of your income. For 2026 a single filer deducts $16,100 — the first $16,100 of income is never taxed — a married couple filing jointly deducts $32,200, a head of household $24,150, and married filing separately $16,100. On the defaults — income $75,000.00, filing status single, withholding $9,000.00, credits $0.00 — the taxable income is $58,900.00, the federal tax is $7,670.00, the net tax is $7,670.00, the refund is $1,330.00, the amount owed is $0.00, the effective rate is 10.23% and the marginal rate is 22%.
2026 federal tax brackets (single filer)
| Rate | Taxable income from | Taxable income to |
|---|
| 10% | $0 | $12,400 |
| 12% | $12,400 | $50,400 |
| 22% | $50,400 | $105,700 |
| 24% | $105,700 | $201,775 |
| 32% | $201,775 | $256,225 |
| 35% | $256,225 | $640,600 |
| 37% | $640,600 | — |
| Scenario | Taxable | Tax | Net | Refund | Owed | Effective | Marginal |
|---|
| Default ($75,000 income, single, $9,000 withholding, $0 credits) | $58,900.00 | $7,670.00 | $7,670.00 | $1,330.00 | $0.00 | 10.23% | 22% |
| Income $50,000 | $33,900.00 | $3,820.00 | $3,820.00 | $5,180.00 | $0.00 | 7.64% | 12% |
| Income $120,000 | $103,900.00 | $17,570.00 | $17,570.00 | $0.00 | $8,570.00 | 14.64% | 22% |
| Income $250,000 | $233,900.00 | $51,304.00 | $51,304.00 | $0.00 | $42,304.00 | 20.52% | 32% |
| Married filing jointly, income $120,000 | $87,800.00 | $10,040.00 | $10,040.00 | $0.00 | $1,040.00 | 8.37% | 12% |
| Head of household, income $120,000 | $95,850.00 | $13,988.00 | $13,988.00 | $0.00 | $4,988.00 | 11.66% | 22% |
| Withholding $5,000 | $58,900.00 | $7,670.00 | $7,670.00 | $0.00 | $2,670.00 | 10.23% | 22% |
| Withholding $12,000 | $58,900.00 | $7,670.00 | $7,670.00 | $4,330.00 | $0.00 | 10.23% | 22% |
| Credits $2,000 | $58,900.00 | $7,670.00 | $5,670.00 | $3,330.00 | $0.00 | 7.56% | 22% |
| Credits $8,000 | $58,900.00 | $7,670.00 | $0.00 | $9,000.00 | $0.00 | 0.00% | 22% |
At the defaults — income $75,000.00, filing status single, withholding $9,000.00, credits $0.00 — the taxable income is $58,900.00, the federal tax is $7,670.00, the net tax is $7,670.00, the refund is $1,330.00, the amount owed is $0.00, the effective rate is 10.23% and the marginal rate is 22%. Check the identities: taxable income = max(0, income − standard deduction); federal tax = 2026 brackets on taxable income; net tax = max(0, federal tax − nonrefundable credits); refund = max(0, withholding − net tax); amount owed = max(0, net tax − withholding); effective rate = net tax ÷ income × 100; marginal rate = the bracket rate of the top dollar of taxable income. Rounding convention: totals are computed from unrounded values, so rounded parts may differ by a cent from their rounded sum.
The worked example, line by line
Setup: income $75,000.00, filing status single, withholding $9,000.00, credits $0.00.
Line 1 — the taxable income. $75,000 − $16,100 = $58,900.00. The first $16,100 is never taxed.
Line 2 — the federal tax. The first $12,400 at 10% is $1,240.00; the next $38,000 ($12,400 to $50,400) at 12% is $4,560.00, bringing the running tax to $5,800.00; the remaining $8,500 ($50,400 to $58,900) at 22% is $1,870.00. Total: $7,670.00.
Line 3 — the net tax. There are no credits, so the net tax is $7,670.00.
Line 4 — the refund. $9,000.00 of withholding minus $7,670.00 of tax = $1,330.00. The amount owed is $0.00.
Line 5 — the rates. The effective rate is $7,670.00 ÷ $75,000 × 100 = 10.23%. The marginal rate is 22%, because the top dollar of taxable income sits in the 22% bracket.
Reverse: the income for a $0 refund is $81,045.45 (exact 81045.4545); at $81,045.45 the tax is $8,999.9990, at $81,045.44 it is $8,999.9968 — the exact value decides. The withholding for a $0 refund is $7,670.00 — exactly the tax; at $7,670.00 the refund is $0.00 and the amount owed is $0.00, at $7,669.00 the amount owed is $1.00, at $7,671.00 the refund is $1.00. The income for a $5,000 refund is $51,500.00 (exact 51500.0000); at $51,500.00 the tax is $4,000.00 and the refund is $5,000.00, at $51,499.00 the tax is $3,999.88 and the refund is $5,000.12. The income for $10,000 owed is $126,108.33 (exact 126108.3333); at $126,108.33 the tax is $18,999.9992 and the amount owed is $10,000.00, at $126,108.32 the tax is $18,999.9968. The credits for a $5,000 refund are $3,670.00; at $3,670.00 the net tax is $4,000.00 and the refund is $5,000.00, at $3,669.00 the net tax is $4,001.00 and the refund is $4,999.00. The married-filing-jointly income for a $0 refund is $111,333.33 (exact 111333.3333); at $111,333.33 the tax is $8,999.9996, at $111,333.32 it is $8,999.9984.
Every branch, checked
Income $50,000: Taxable $33,900.00, tax $3,820.00, net $3,820.00, refund $5,180.00, owed $0.00, effective 7.64%, marginal 12%. A lower income stays in the 12% bracket, so the tax is only $3,820.00 and the refund is the biggest on the page.
Income $120,000: Taxable $103,900.00, tax $17,570.00, net $17,570.00, refund $0.00, owed $8,570.00, effective 14.64%, marginal 22%. The extra $45,000 of income pushes the tax to $17,570.00 — more than the $9,000 withheld — so the refund flips to an amount owed of $8,570.00.
Income $250,000: Taxable $233,900.00, tax $51,304.00, net $51,304.00, refund $0.00, owed $42,304.00, effective 20.52%, marginal 32%. The top dollars land in the 32% bracket, so the tax is $51,304.00 and the amount owed is $42,304.00.
Married filing jointly, income $120,000: Taxable $87,800.00, tax $10,040.00, net $10,040.00, refund $0.00, owed $1,040.00, effective 8.37%, marginal 12%. The couple’s $32,200 standard deduction and wider brackets cut the tax to $10,040.00 — the amount owed is only $1,040.00 against $8,570.00 filing single.
Head of household, income $120,000: Taxable $95,850.00, tax $13,988.00, net $13,988.00, refund $0.00, owed $4,988.00, effective 11.66%, marginal 22%. The $24,150 deduction sits between single and joint, so the tax is $13,988.00 and the amount owed is $4,988.00.
Withholding $5,000: Taxable $58,900.00, tax $7,670.00, net $7,670.00, refund $0.00, owed $2,670.00, effective 10.23%, marginal 22%. The tax is unchanged at $7,670.00 — only the gap moves — so the refund disappears and the amount owed is $2,670.00.
Withholding $12,000: Taxable $58,900.00, tax $7,670.00, net $7,670.00, refund $4,330.00, owed $0.00, effective 10.23%, marginal 22%. Paying $3,000 more during the year turns the $1,330.00 refund into $4,330.00 — the same tax, a different gap.
Credits $2,000: Taxable $58,900.00, tax $7,670.00, net $5,670.00, refund $3,330.00, owed $0.00, effective 7.56%, marginal 22%. The credits cut the net tax to $5,670.00 and lift the refund to $3,330.00.
Credits $8,000: Taxable $58,900.00, tax $7,670.00, net $0.00, refund $9,000.00, owed $0.00, effective 0.00%, marginal 22%. The credits are bigger than the tax, so the net tax floors at $0.00 and the whole $9,000.00 of withholding comes back — the extra $330.00 of credit is simply unused.
What the defaults assume
The model assumes the 2026 standard deductions and brackets from IRS Rev Proc 2025-32, that the income is ordinary income taxed at the bracket rates, and that the credits you enter are nonrefundable — they cut the tax to $0 but never below it. It assumes the withholding you enter is federal income tax already paid, not state tax or FICA. It does not model state tax, FICA, self-employment tax, refundable credits (which can push a refund above the withholding), or estimated-tax payments. With a $0 income the tax is $0.00 and the refund is $9,000.00 — all the withholding comes back — and the effective and marginal rates are — (no income, no rate). With an income of exactly $16,100 the taxable income is $0.00 and the refund is $9,000.00. With $0 withholding the amount owed is $7,670.00. With $10,000 of credits the net tax is $0.00 and the refund is $9,000.00. With a $1,000,000 income the tax is $320,000.25, the amount owed is $311,000.25, the effective rate is 32.00% and the marginal rate is 37%. Rounding convention: totals are computed from unrounded values, so rounded parts may differ by a cent from their rounded sum; the reverses are nearest-value solutions, and the exact unrounded figures (81045.4545, $7,670.00, 51500.0000, 126108.3333, $3,670.00, 111333.3333) are stated wherever the rounded figures appear.
Output · formula · meaning
| Output | Formula | What it means |
|---|
| Taxable income | income − standard deduction, floored at $0 | $58,900.00. |
| Federal tax | 2026 brackets on taxable income | $7,670.00. |
| Net tax after credits | max(0, federal tax − nonrefundable credits) | $7,670.00. |
| Refund | max(0, withholding − net tax) | $1,330.00. |
| Amount owed | max(0, net tax − withholding) | $0.00. |
| Effective rate | net tax ÷ income × 100 | 10.23%. |
| Marginal rate | the bracket rate of the top dollar of taxable income | 22%. |
| Income for a $0 refund | bisection: the income where tax = withholding | 81045.4545 → $81,045.45. |
| Withholding for a $0 refund | exactly the federal tax | $7,670.00 → $7,670.00. |
| Income for a $5,000 refund | bisection: the income where tax = withholding − $5,000 | 51500.0000 → $51,500.00. |
| Income for $10,000 owed | bisection: the income where tax = withholding + $10,000 | 126108.3333 → $126,108.33. |
| Credits for a $5,000 refund | federal tax − the $4,000 net tax that leaves a $5,000 refund | $3,670.00 → $3,670.00. |
| Married-filing-jointly income for a $0 refund | bisection: the MFJ income where tax = withholding | 111333.3333 → $111,333.33. |
| Income $50,000 | same model | Taxable $33,900.00, tax $3,820.00, net $3,820.00, refund $5,180.00, owed $0.00, effective 7.64%, marginal 12%. |
| Income $120,000 | same model | Taxable $103,900.00, tax $17,570.00, net $17,570.00, refund $0.00, owed $8,570.00, effective 14.64%, marginal 22%. |
| Income $250,000 | same model | Taxable $233,900.00, tax $51,304.00, net $51,304.00, refund $0.00, owed $42,304.00, effective 20.52%, marginal 32%. |
| Married filing jointly, income $120,000 | same model | Taxable $87,800.00, tax $10,040.00, net $10,040.00, refund $0.00, owed $1,040.00, effective 8.37%, marginal 12%. |
| Head of household, income $120,000 | same model | Taxable $95,850.00, tax $13,988.00, net $13,988.00, refund $0.00, owed $4,988.00, effective 11.66%, marginal 22%. |
| Withholding $5,000 | same model | Taxable $58,900.00, tax $7,670.00, net $7,670.00, refund $0.00, owed $2,670.00, effective 10.23%, marginal 22%. |
| Withholding $12,000 | same model | Taxable $58,900.00, tax $7,670.00, net $7,670.00, refund $4,330.00, owed $0.00, effective 10.23%, marginal 22%. |
| Credits $2,000 | same model | Taxable $58,900.00, tax $7,670.00, net $5,670.00, refund $3,330.00, owed $0.00, effective 7.56%, marginal 22%. |
| Credits $8,000 | same model | Taxable $58,900.00, tax $7,670.00, net $0.00, refund $9,000.00, owed $0.00, effective 0.00%, marginal 22%. |
Who uses this
- The employee checking withholding before year-end: they learn a $75,000.00 income gets $1,330.00 back — and they check the $81,045.45 zero point to see how much of a raise the refund survives.
- The $120,000 earner who owes: they learn the amount owed is $8,570.00 filing single — but only $1,040.00 filing jointly — and they check the $250,000 branch ($42,304.00 owed) to see how fast the bill grows.
- The parent filing head of household: they learn the tax on $120,000 is $13,988.00 — between the single and joint figures — and they check the $5,000-withholding branch to see the gap when less is withheld.
- The planner sizing credits to a refund target: they learn $3,670.00 of credits buys exactly a $5,000.00 refund — and they check the $8,000 branch to see the credits cap at the tax.
Accuracy & limitations
The math is the 2026 federal brackets and standard deductions: taxable income = max(0, income − standard deduction); federal tax = 2026 brackets on taxable income; net tax = max(0, federal tax − nonrefundable credits); refund = max(0, withholding − net tax); amount owed = max(0, net tax − withholding); effective rate = net tax ÷ income × 100; marginal rate = the bracket rate of the top dollar of taxable income. The 4-decimal exact is shown where the rounding matters: the income for a $0 refund is 81045.4545 (shown as $81,045.45); at $81,045.45 the tax is $8,999.9990, at $81,045.44 it is $8,999.9968. The income for a $5,000 refund is 51500.0000 (shown as $51,500.00); at $51,500.00 the tax is $4,000.00 and the refund is $5,000.00. The income for $10,000 owed is 126108.3333 (shown as $126,108.33); at $126,108.33 the tax is $18,999.9992, at $126,108.32 it is $18,999.9968. The married-filing-jointly income for a $0 refund is 111333.3333 (shown as $111,333.33); at $111,333.33 the tax is $8,999.9996, at $111,333.32 it is $8,999.9984. What the model cannot do is your actual return: it does not model state tax, FICA, self-employment tax, refundable credits, or estimated-tax payments, and the brackets and standard deduction change every year — check the 2026 federal tax brackets page for the current figures. For the quarterly payments behind the withholding, see the estimated quarterly tax calculator; for what actually lands in your bank each month, see the take-home pay calculator. This is a calculator, not tax advice.
Cite this calculatorBright Side Kit. “Tax Refund Calculator: What You Will Get Back in 2026” brightoolbox.com, 2026. Method: standard deduction (2026, IRS Rev Proc 2025-32) — single $16,100, married filing jointly $32,200, head of household $24,150, married filing separately $16,100; taxable income = max(0, income − standard deduction); federal tax = 2026 brackets on taxable income (single: 10% $0–$12,400; 12% $12,400–$50,400; 22% $50,400–$105,700; 24% $105,700–$201,775; 32% $201,775–$256,225; 35% $256,225–$640,600; 37% above); net tax = max(0, federal tax − nonrefundable credits); refund = max(0, withholding − net tax); amount owed = max(0, net tax − withholding); effective rate = net tax ÷ income; marginal rate = the bracket rate of the top dollar of taxable income. This is federal income tax only — state tax, FICA and self-employment tax are separate. Key idea: the refund is simply withholding minus tax — a bigger refund usually means you over-withheld, and the first $16,100 of a single filer’s income is never taxed. Defaults: income $75,000, single, withholding $9,000, credits $0 → taxable $58,900.00, federal tax $7,670.00, net tax $7,670.00, refund $1,330.00, amount owed $0.00, effective 10.23%, marginal 22%. Branches: Income $50,000 → Taxable $33,900.00, tax $3,820.00, net $3,820.00, refund $5,180.00, owed $0.00, effective 7.64%, marginal 12%; Income $120,000 → Taxable $103,900.00, tax $17,570.00, net $17,570.00, refund $0.00, owed $8,570.00, effective 14.64%, marginal 22%; Income $250,000 → Taxable $233,900.00, tax $51,304.00, net $51,304.00, refund $0.00, owed $42,304.00, effective 20.52%, marginal 32%; Married filing jointly, income $120,000 → Taxable $87,800.00, tax $10,040.00, net $10,040.00, refund $0.00, owed $1,040.00, effective 8.37%, marginal 12%; Head of household, income $120,000 → Taxable $95,850.00, tax $13,988.00, net $13,988.00, refund $0.00, owed $4,988.00, effective 11.66%, marginal 22%; Withholding $5,000 → Taxable $58,900.00, tax $7,670.00, net $7,670.00, refund $0.00, owed $2,670.00, effective 10.23%, marginal 22%; Withholding $12,000 → Taxable $58,900.00, tax $7,670.00, net $7,670.00, refund $4,330.00, owed $0.00, effective 10.23%, marginal 22%; Credits $2,000 → Taxable $58,900.00, tax $7,670.00, net $5,670.00, refund $3,330.00, owed $0.00, effective 7.56%, marginal 22%; Credits $8,000 → Taxable $58,900.00, tax $7,670.00, net $0.00, refund $9,000.00, owed $0.00, effective 0.00%, marginal 22%. Reverses: income for a $0 refund = $81,045.45 (exact 81045.4545; at $81,045.45 the tax is $8,999.9990, at $81,045.44 it is $8,999.9968); withholding for a $0 refund = $7,670.00 (at $7,670.00 the refund is $0.00 and the amount owed is $0.00, at $7,669.00 the amount owed is $1.00, at $7,671.00 the refund is $1.00); income for a $5,000 refund = $51,500.00 (exact 51500.0000; at $51,500.00 the tax is $4,000.00 and the refund is $5,000.00, at $51,499.00 the tax is $3,999.88 and the refund is $5,000.12); income for $10,000 owed = $126,108.33 (exact 126108.3333; at $126,108.33 the tax is $18,999.9992 and the amount owed is $10,000.00, at $126,108.32 the tax is $18,999.9968); credits for a $5,000 refund = $3,670.00 (at $3,670.00 the net tax is $4,000.00 and the refund is $5,000.00, at $3,669.00 the net tax is $4,001.00 and the refund is $4,999.00); married-filing-jointly income for a $0 refund = $111,333.33 (exact 111333.3333; at $111,333.33 the tax is $8,999.9996, at $111,333.32 it is $8,999.9984). Edges: $0 income → Taxable $0.00, tax $0.00, net $0.00, refund $9,000.00, owed $0.00, effective —, marginal —; $16,100 income → Taxable $0.00, tax $0.00, net $0.00, refund $9,000.00, owed $0.00, effective 0.00%, marginal —; $0 withholding → Taxable $58,900.00, tax $7,670.00, net $7,670.00, refund $0.00, owed $7,670.00, effective 10.23%, marginal 22%; $10,000 credits → Taxable $58,900.00, tax $7,670.00, net $0.00, refund $9,000.00, owed $0.00, effective 0.00%, marginal 22%; $1,000,000 income → Taxable $983,900.00, tax $320,000.25, net $320,000.25, refund $0.00, owed $311,000.25, effective 32.00%, marginal 37%. Bright Side Kit. "Tax Refund Calculator: What You Will Get Back in 2026" https://brightoolbox.com/tax-refund-calculator/ Accessed October 25, 2026.
Embed this calculatorPaste this into any web page to embed the live calculator. The “Powered by Bright Side Kit” link below it must stay intact.