Tax-Equivalent Yield Calculator (Tax-Free vs. Taxable Bonds)

Compare tax-free bond yields with taxable deposits using TEY = Yield_taxfree / (1 − TaxRate).

Tax-Equivalent Pre-Tax Yield (TEY)
5.71 %
Annual Tax-Free Cash Income USD 4,000.00
Pre-Tax Income Needed if Taxable USD 5,714.29
Tax Drag Saved Annually USD 1,714.29
Inputs
Amounts are treated in the selected currency; no foreign-exchange conversion is applied.
% / yr
Annual yield on the tax-exempt bond or instrument (%).
%
Investor combined marginal income tax rate (%).
currency
Investment principal to compare annual post-tax cash income.
Results & Graph
Tax-Equivalent Pre-Tax Yield (TEY)
5.71 %
Annual Tax-Free Cash Income
USD 4,000.00
Pre-Tax Income Needed if Taxable
USD 5,714.29
Tax Drag Saved Annually
USD 1,714.29

Tax-Equivalent Pre-Tax Yield (TEY)

Graph 1 • Tax Free Yield Pct Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 % 4.6 % 9.3 % 50%: 2.86 % 2.9 50% 75%: 4.29 % 4.3 75% 100%: 5.71 % 5.7 100% 125%: 7.14 % 7.1 125% 150%: 8.57 % 8.6 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Tax-Equivalent Pre-Tax Yield (TEY) 5.71 % Annual Tax-Free Cash Income USD 4,000.00 Pre-Tax Income Needed if Taxable USD 5,714.29 Tax Drag Saved Annually USD 1,714.29
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Tax-Equivalent Pre-Tax Yield (TEY)5.71 %Annual Tax-Free Cash IncomeUSD 4,000.00Pre-Tax Income Needed if TaxableUSD 5,714.29Tax Drag Saved AnnuallyUSD 1,714.29
Summary: In a 30% tax bracket, a 4% tax-free yield equals a 5.71% taxable bond or FD yield.
Summary: In a 30% tax bracket, a 4% tax-free yield equals a 5.71% taxable bond or FD yield.

Formula & Mathematical Methodology: Tax-Equivalent Yield Financial Formula

TaxEquivalentYield = TaxFreeYield / (1 − MarginalTaxRate)
TaxEquivalentYield = TaxFreeYield / (1 − MarginalTaxRate)
  • taxFreeYieldPct: Tax Free Yield Pct (% / yr)
  • marginalTaxBracketPct: Marginal Tax Bracket Pct (%)
  • investmentAmount: Investment Amount (currency)

Rounding: Internal compounding uses full floating-point precision; currency outputs round to 2 decimal places.

Worked Example: Financial Planning Example: Tax-Equivalent Yield

Compare tax-free bond yields with taxable deposits using TEY = Yield_taxfree / (1 − TaxRate).

  1. Select your preferred display currency and enter your current financial figures.
  2. Evaluate the governing financial equation: TaxEquivalentYield = TaxFreeYield / (1 − MarginalTaxRate).
  3. Review the primary result, supporting breakdown, and 3 interactive SVG charts.
Result: Evaluates Tax-Equivalent Yield using TaxEquivalentYield = TaxFreeYield / (1 − MarginalTaxRate).

Frequently Asked Questions

How does the Tax-Equivalent Yield Calculator (Tax-Free vs. Taxable Bonds) compute its result?

It evaluates TaxEquivalentYield = TaxFreeYield / (1 − MarginalTaxRate) using your entered parameters and updates all three custom financial charts in real time.

Does changing the currency convert exchange rates?

No. Selecting USD, INR, GBP, EUR, or any of the 150+ currencies formats all monetary amounts in your chosen denomination.

Are my financial numbers kept private?

Yes. All calculations run 100% locally in your browser with zero external server requests.

Finance & Investing • Fixed Income & Bonds Guide

How to Use the Tax-Equivalent Yield Calculator (Tax-Free vs. Taxable Bonds): Practical Guide & Visual Analysis

Calculate the pre-tax yield a taxable bond or FD must pay to match a tax-exempt bond’s return given your marginal income tax bracket. Supports 150+ display currencies, textbook mathematical formulas, and three custom SVG financial visualizations. Whether you are researching tax-equivalent yield calculator (tax-free vs. taxable bonds), tax-equivalent yield, tax equivalent municipal bond yield, fixed income & bonds calculator, this interactive tool helps you calculate the pre-tax yield a taxable bond or FD must pay to match a tax-exempt bond’s return given your marginal income tax bracket.

Interpreting the 3 Custom Visual Graphs & Key Outputs

As you adjust Display Currency, Tax Free Yield Pct, Marginal Tax Bracket Pct, Investment Amount, the calculator immediately computes Primary financial result, Supporting cash-flow & yield metrics, 3-Panel custom financial SVG charts and updates all three domain-specific SVG charts in real time. Instead of relying on a single static figure, you can inspect the primary domain diagram, component breakdown, and multi-point trajectory curve to see how changing your inputs shifts the final result. Use the Compare (up to 3 scenarios) button to evaluate side-by-side variations before making a decision.

Real-World Benchmark & Planning Tips (Global & India Financial Planning Reference)

In our benchmark scenario (Financial Planning Example: Tax-Equivalent Yield), Evaluates Tax-Equivalent Yield using TaxEquivalentYield = TaxFreeYield / (1 − MarginalTaxRate). Keep in mind that rates, yields, and tax percentages are treated as constant over the modeled horizon unless varied in scenario comparison. For related calculations in Finance & Investing, explore Compound Interest Calculator, Loan & EMI Calculator, SIP Calculator (Systematic Investment Plan).