Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- 365-day simple annualization for a single-payment discount instrument; not compounded APY or a coupon-bond YTM.
Example Calculation
- Redemption value: 1000
- Purchase price: 980
- Days to maturity: 90
Redemption value = 1000; Purchase price = 980; Days to maturity = 90. The primary result is 8.2766439909.
Frequently asked questions
How do I use this calculator?
Enter redemption value, purchase price, days to maturity. The result updates automatically. Use Reset to restore the example values.
What method does it use?
BEY=(redemption−price)/price ×365/days.. 365-day simple annualization for a single-payment discount instrument; not compounded APY or a coupon-bond YTM.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.