Bond Equivalent Yield Calculator

Convert discount rate to bond yield.

Bond equivalent yield (%) 21.345
Step-by-step with your numbers:
1. Values used:
2. Face value = 1,000 $
3. Purchase price = 950 $
4. Days to maturity = 90 days
5. Bond equivalent yield = 21.345%
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Annualizes the discount for comparison.

How the Math Works

The Bond Equivalent Yield Calculator transforms a security's discount rate into an annualized yield that can be directly compared to other bonds. The calculation uses the formula BEY = (Discount Rate / Current Price) x (365 / Days to Maturity), which annualizes the return by accounting for the actual time until the bond matures. This adjustment is crucial because discount instruments like Treasury bills quote yield on a discount basis that doesn't reflect the true annual return an investor receives.

Practical Applications

To use this calculator, input the discount rate quoted by your broker, the current market price you'd pay for the security, and the number of days remaining until maturity. The calculator will instantly compute the bond equivalent yield, allowing you to compare this investment against coupon-bearing bonds, certificates of deposit, or other fixed-income securities. Financial analysts use this conversion when building portfolio models or evaluating whether to allocate capital between different types of fixed-income investments.

Day-to-Day Use

Understanding bond equivalent yield helps you make smarter investment decisions with shorter-term securities like money market funds, Treasury bills, or commercial paper. When you see a 30-day T-bill with a discount rate of 2.5%, the BEY calculation reveals whether this outperforms your savings account or a 6-month CD. This knowledge empowers you to find the best yields on your cash reserves, potentially earning significantly more on idle funds without taking on additional risk.

FAQ

Vs YTM?

BEY is simpler — YTM is more complete.