A Bond Equivalent Yield calculator designed for financial professionals. Enter the face value, purchase price, and days to maturity to get a standardized annualized yield assessment.
Enter bond params to calculate BEY
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Addressing the challenge of comparing short-term discount bond yields, this tool provides a standardized assessment by calculating the Bond Equivalent Yield (BEY). BEY is a financial metric that converts the yield of short-term discount bonds (such as Treasury bills) into an annualized yield based on a 365-day year. The core formula is: BEY = [(Face Value - Purchase Price) / Purchase Price] × (365 / Days to Maturity) × 100%. This allows investors to intuitively compare the actual returns of bonds with different maturities.
Q: What exactly is the Bond Equivalent Yield (BEY)?
A: BEY is a standardized annualized yield metric used to compare the returns of discount bonds. Its core formula is: [(F - P) / P] × (365 / D) × 100%, where F is the face value, P is the purchase price, and D is the days to maturity.
Q: How should I interpret the result if the purchase price is higher than the face value?
A: When the purchase price > face value, it results in a negative BEY, indicating an expected loss due to purchasing at a premium. For example, buying a bond with a 10,000 face value for 10,100 with 180 days to maturity will result in an annualized loss rate of -2.02%.
Days to maturity must be an integer between 1 and 365; the purchase price must be > 0 and is typically < face value; results do not include the impact of transaction taxes and fees; it is recommended to keep sensitive financial data locally and not upload it to the cloud.
It is recommended to consistently use a 365-day basis for comparison calculations. A typical example: a bond with a 10,000 face value purchased for 9,500 with 180 days to maturity has a BEY of 10.67%; if the maturity is shortened to 90 days, the BEY rises to 21.92%, clearly demonstrating the leverage effect of the time period on annualized returns. Please note that this result does not account for compound interest and reinvestment risk; long-term holding requires the use of other evaluation models.
