Data Source and Methodology
Authoritative Data Source: New York State Department of Taxation and Finance — 2024 IT-201/IT-203 Instructions: Tax Rate Schedules, NYC Resident Tax, and Yonkers Surcharges. See: https://www.tax.ny.gov/pit/file/tax-rates.htm. All schedules and deduction amounts are applied as specified by filing status.
Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.
The Formula Explained
For taxable income T and bracket ranges [b_i^L, b_i^U) with marginal rates r_i:
1) New York taxable income:
$$ T = \max\{0, I - D\} $$ 2) Progressive NYS tax:
$$ \mathrm{Tax}_{\mathrm{NYS}}(T) = \sum_i r_i \cdot \max\left(0, \min\left(T, b_i^U\right) - b_i^L\right) $$ 3) NYC resident tax (if applicable):
$$ \mathrm{Tax}_{\mathrm{NYC}}(T) = \sum_j r_j^{\mathrm{NYC}} \cdot \max\left(0, \min\left(T, u_j^U\right) - u_j^L\right) $$ 4) Yonkers resident surcharge:
$$ \mathrm{Tax}_{\mathrm{YON,res}} = \alpha \cdot \mathrm{Tax}_{\mathrm{NYS}}, \quad \alpha = 0.1675 $$ 5) Yonkers nonresident earnings tax:
$$ \mathrm{Tax}_{\mathrm{YON,nonres}} = \beta \cdot W_{\mathrm{YON}}, \quad \beta = 0.005 $$ 6) Total:
$$ \mathrm{Tax}_{\mathrm{Total}} = \mathrm{Tax}_{\mathrm{NYS}} + \mathrm{Tax}_{\mathrm{NYC}} + \mathrm{Tax}_{\mathrm{YON}} $$ Effective rate: $$ \mathrm{Eff} = \frac{\mathrm{Tax}_{\mathrm{Total}}}{I} $$ Marginal rate (combined, if NYC applies): $$ r_{\mathrm{marg}} = r_k^{\mathrm{NYS}} + r_m^{\mathrm{NYC}} $$
1) New York taxable income:
$$ T = \max\{0, I - D\} $$ 2) Progressive NYS tax:
$$ \mathrm{Tax}_{\mathrm{NYS}}(T) = \sum_i r_i \cdot \max\left(0, \min\left(T, b_i^U\right) - b_i^L\right) $$ 3) NYC resident tax (if applicable):
$$ \mathrm{Tax}_{\mathrm{NYC}}(T) = \sum_j r_j^{\mathrm{NYC}} \cdot \max\left(0, \min\left(T, u_j^U\right) - u_j^L\right) $$ 4) Yonkers resident surcharge:
$$ \mathrm{Tax}_{\mathrm{YON,res}} = \alpha \cdot \mathrm{Tax}_{\mathrm{NYS}}, \quad \alpha = 0.1675 $$ 5) Yonkers nonresident earnings tax:
$$ \mathrm{Tax}_{\mathrm{YON,nonres}} = \beta \cdot W_{\mathrm{YON}}, \quad \beta = 0.005 $$ 6) Total:
$$ \mathrm{Tax}_{\mathrm{Total}} = \mathrm{Tax}_{\mathrm{NYS}} + \mathrm{Tax}_{\mathrm{NYC}} + \mathrm{Tax}_{\mathrm{YON}} $$ Effective rate: $$ \mathrm{Eff} = \frac{\mathrm{Tax}_{\mathrm{Total}}}{I} $$ Marginal rate (combined, if NYC applies): $$ r_{\mathrm{marg}} = r_k^{\mathrm{NYS}} + r_m^{\mathrm{NYC}} $$
Glossary of Variables
- I: Annual income (AGI or taxable wages entered).
- D: Deduction (standard by status, or itemized amount entered).
- T: NY taxable income (I − D, floored at 0).
- Tax_NYS: New York State income tax on T via progressive brackets.
- Tax_NYC: NYC resident tax on T (if NYC resident).
- Tax_YON: Yonkers resident surcharge or nonresident earnings tax.
- Eff: Effective (average) total tax rate = Total Tax / Income.
- r_marg: Marginal tax rate at your bracket (NYS plus NYC if applicable).
How It Works: A Step-by-Step Example
Suppose you earn I = $120,000, file as Single, live in NYC, and take the standard deduction.
- Standard deduction for Single: D = $8,000.
- Taxable income: T = max(0, 120,000 − 8,000) = $112,000.
- Compute NYS tax using the progressive schedule (summing each bracket portion). For T = $112,000 in the 6.33% bracket, the total NYS tax is approximately $6,573.
- Compute NYC resident tax using NYC brackets on T: approximately $4,216.
- Total ≈ $6,573 + $4,216 = $10,789. Effective rate ≈ $10,789 / $120,000 = 9.0%. Marginal rate ≈ 6.33% (NYS) + 3.876% (NYC) = 10.206%.
Note: This example ignores credits and special adjustments and is for illustration only.
Frequently Asked Questions (FAQ)
Which tax year does this calculator use?
It targets the 2024 tax year and applies NYS tax rate schedules and deduction amounts by filing status as published by the NYS Department of Taxation and Finance.
Does it include New York City tax?
Yes. If you select NYC residency, the tool applies NYC’s progressive resident tax rates to your NY taxable income.
How does the Yonkers tax work?
Residents pay a surcharge (16.75%) on their NYS tax. Nonresidents who work in Yonkers pay a 0.50% earnings tax on Yonkers wages.
Standard vs. itemized deductions?
If itemized deductions exceed your standard deduction for NY, select Itemized and enter your amount. Otherwise, keep Standard.
Are credits like EITC or household credit included?
No. This tool focuses on base NYS, NYC, and Yonkers taxes before most credits. Credits can reduce your liability.
Is this tax advice?
No. It’s an educational estimate. For personalized guidance, consult a licensed tax professional.
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
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Formula (extracted LaTeX)
\[T = \max\{0, I - D\}\]
T = \max\{0, I - D\}
Formula (extracted LaTeX)
\[\mathrm{Tax}_{\mathrm{NYS}}(T) = \sum_i r_i \cdot \max\left(0, \min\left(T, b_i^U\right) - b_i^L\right)\]
\mathrm{Tax}_{\mathrm{NYS}}(T) = \sum_i r_i \cdot \max\left(0, \min\left(T, b_i^U\right) - b_i^L\right)
Formula (extracted LaTeX)
\[\mathrm{Tax}_{\mathrm{NYC}}(T) = \sum_j r_j^{\mathrm{NYC}} \cdot \max\left(0, \min\left(T, u_j^U\right) - u_j^L\right)\]
\mathrm{Tax}_{\mathrm{NYC}}(T) = \sum_j r_j^{\mathrm{NYC}} \cdot \max\left(0, \min\left(T, u_j^U\right) - u_j^L\right)
Formula (extracted LaTeX)
\[\mathrm{Tax}_{\mathrm{YON,res}} = \alpha \cdot \mathrm{Tax}_{\mathrm{NYS}}, \quad \alpha = 0.1675\]
\mathrm{Tax}_{\mathrm{YON,res}} = \alpha \cdot \mathrm{Tax}_{\mathrm{NYS}}, \quad \alpha = 0.1675
Formula (extracted LaTeX)
\[\mathrm{Tax}_{\mathrm{YON,nonres}} = \beta \cdot W_{\mathrm{YON}}, \quad \beta = 0.005\]
\mathrm{Tax}_{\mathrm{YON,nonres}} = \beta \cdot W_{\mathrm{YON}}, \quad \beta = 0.005
Formula (extracted text)
For taxable income T and bracket ranges [b_i^L, b_i^U) with marginal rates r_i: 1) New York taxable income: $ T = \max\{0, I - D\} $ 2) Progressive NYS tax: $ \mathrm{Tax}_{\mathrm{NYS}}(T) = \sum_i r_i \cdot \max\left(0, \min\left(T, b_i^U\right) - b_i^L\right) $ 3) NYC resident tax (if applicable): $ \mathrm{Tax}_{\mathrm{NYC}}(T) = \sum_j r_j^{\mathrm{NYC}} \cdot \max\left(0, \min\left(T, u_j^U\right) - u_j^L\right) $ 4) Yonkers resident surcharge: $ \mathrm{Tax}_{\mathrm{YON,res}} = \alpha \cdot \mathrm{Tax}_{\mathrm{NYS}}, \quad \alpha = 0.1675 $ 5) Yonkers nonresident earnings tax: $ \mathrm{Tax}_{\mathrm{YON,nonres}} = \beta \cdot W_{\mathrm{YON}}, \quad \beta = 0.005 $ 6) Total: $ \mathrm{Tax}_{\mathrm{Total}} = \mathrm{Tax}_{\mathrm{NYS}} + \mathrm{Tax}_{\mathrm{NYC}} + \mathrm{Tax}_{\mathrm{YON}} $ Effective rate: $ \mathrm{Eff} = \frac{\mathrm{Tax}_{\mathrm{Total}}}{I} $ Marginal rate (combined, if NYC applies): $ r_{\mathrm{marg}} = r_k^{\mathrm{NYS}} + r_m^{\mathrm{NYC}} $
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Finance — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/finance - US Taxation (State) — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/subcategories/taxes - https://www.tax.ny.gov/pit/file/tax-rates.htm — tax.ny.gov · Accessed 2026-01-19
https://www.tax.ny.gov/pit/file/tax-rates.htm
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.