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Bond Equivalent Yield Calculator — result sheet
Annualize a discount instrument's price gain using face value, purchase price, and days to maturity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: BEY = (face value−price)/price×365/days×100.
The simple annualization uses purchase price as the investment base and a 365-day convention.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Face value — currency; minimum 1.0E-6; maximum 1000000000
- Purchase price — currency; minimum 1.0E-6; maximum 1000000000
- Days to maturity — days; minimum 1.0E-6; maximum 3660
Worked example
| Input | Value |
|---|---|
| Face value | 1000 |
| Purchase price | 980 |
| Days to maturity | 180 |
Bond equivalent yield ≈4.13%.
Assumptions and limits
- Face value and price use one currency, price and days are positive, and face value is not below price in this discount model.
- No interim coupons, fees, reinvestment, taxes, or day-count alternatives are included.
- This is an estimate, not a market quote or investment recommendation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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