Bond Equivalent Yield Calculator
Convert a short-term discount instrument into an annualized bond-equivalent yield. This page also keeps the formula, examples, FAQs, and references close by so you can check the result with confidence.
What This Bond Equivalent Yield Calculator Helps You Do
Bond equivalent yield annualizes the discount between face value and purchase price using the time to maturity. Review the formula and examples below if you want to see how the result is derived.
This page is meant to give you a fast answer, but it also helps you double-check the math before you make a decision. Start with the inputs that you already know, run the calculation, and then compare the output with the formula, examples, and FAQs below so you can see whether the answer fits the situation you are modeling.
If the result looks off, the usual causes are a unit mismatch, a missing decimal, the wrong scenario, or a value that needs to be entered as a rate instead of a total. The notes on this page are designed to make those checks easy without forcing you to leave the calculator and search for context elsewhere.
- Use the calculator first for a quick estimate.
- Use the formula to understand how the result is built.
- Use the examples to compare common use cases.
- Use the references when the answer depends on a standard or assumption.
Common Checks
A quick result is useful, but the best result is one that still makes sense when you look at it a second time. If you are comparing scenarios, try changing one input at a time so you can see which variable has the biggest impact on the final answer. That makes it much easier to spot whether the calculation matches your expectations.
It also helps to keep the context of the problem in mind. A calculator can tell you the math, but you still need to decide whether the input represents a total, a rate, an average, or a category-specific assumption. When in doubt, start with a simple example from the page and scale up from there.
- Check that every unit matches the rest of the problem.
- Keep rates, totals, and averages separate.
- Adjust one variable at a time when testing scenarios.
- Use the smallest realistic input first, then scale upward.
Scenario Planning
This calculator is especially useful when you want a quick answer before you commit time, money, or effort. Try one baseline input set, then change a single number and compare the result so you can see how sensitive the answer is to that variable.
That makes the page useful for more than just arithmetic. It becomes a small decision aid that helps you compare options, test assumptions, and explain the final number with confidence when you need to share it with someone else.
Result
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How to Calculate Bond Equivalent Yield Calculator
- Enter the face value: Use the amount repaid at maturity.
- Enter the purchase price: Use the amount you pay today.
- Set days to maturity: Use the remaining days on the bill.
Bond Equivalent Yield Calculator Formula
| Variable | Meaning | Unit |
|---|---|---|
| Face value | Redemption value at maturity | $ |
| Purchase price | Amount paid today | $ |
| Days to maturity | Remaining days until maturity | days |
Worked Examples
- Face value: $1,000
- Purchase price: $975
- Days to maturity: 180
Result: 5.07%
A modest discount on a half-year bill annualizes to about five percent.
- Face value: £10,000
- Purchase price: £9,875
- Days to maturity: 90
Result: 5.06%
A shorter maturity increases the annualized yield from the same discount.
- Face value: €1,000
- Purchase price: €960
- Days to maturity: 120
Result: 12.71%
A bigger discount creates a much higher bond-equivalent yield.
BEY reference
Useful Treasury-bill checkpoints.
| Range | Meaning | Action |
|---|---|---|
| Lower BEY | Smaller annualized discount return | Compare with other short-term instruments. |
| Typical BEY | Common money-market style return | Use it to compare against bond yields. |
| Higher BEY | Large annualized discount return | Check whether the discount reflects greater risk or shorter maturity. |
| Metric | Meaning | Notes |
|---|---|---|
| Face value | Redemption amount | Paid at maturity |
| Purchase price | Amount paid today | Lower price raises BEY |
| Days to maturity | Remaining term | Shorter terms annualize faster |
Frequently Asked Questions
References
Last reviewed: March 30, 2026