Bonds & Yields

Discount Instrument Bond-Equivalent Yield

Annualize the holding-period gain on a discount instrument using purchase price as the base.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

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How to use this calculator

  1. Enter redemption value, purchase price, days to redemption.
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

Simple investment-basis yield=(face−price)/price×365/days.

Assumptions and limitations

Simple365-day convention for a term up to one year; not an effective compound yield or market-specific Treasury pricing rule.

Worked example

With redemption value = 1000, purchase price = 980, days to redemption = 180, simple bond-equivalent yield is approximately 4.138322%.

What the result means

Annualize the holding-period gain on a discount instrument using purchase price as the base.

Common questions

How should I interpret simple bond-equivalent yield?

Annualize the holding-period gain on a discount instrument using purchase price as the base.

What should I check before using this result?

Simple365-day convention for a term up to one year; not an effective compound yield or market-specific Treasury pricing rule.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.