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Bond Equivalent Yield Calculator

Calculate BEY to analyze annual returns on zero-coupon bonds and discount securities

Calculate Bond Equivalent Yield

Current market price of the bond

Principal amount paid at maturity

Number of days until bond matures (typically ≤ 365 days)

Example Calculation

Treasury Bill Example

Type: 180-day Treasury Bill

Face Value: $1,000

Purchase Price: $980

Days to Maturity: 180 days

Discount: $20

Calculation

BEY = ($1,000 - $980) / $980 × (365 / 180)

BEY = $20 / $980 × 2.028

BEY = 0.0204 × 2.028

BEY = 4.14%

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BEY Formula Components

1

Discount Amount

Face Value - Purchase Price

Dollar profit at maturity

2

Discount Yield

Discount / Purchase Price

Return over holding period

3

Annualization

× (365 / Days to Maturity)

Convert to annual yield

BEY Tips

BEY is best for bonds under 1 year maturity

Uses 365-day year convention

Perfect for Treasury bills and commercial paper

Enables comparison with annual yield securities

Understanding Bond Equivalent Yield

What is Bond Equivalent Yield?

Bond Equivalent Yield (BEY) is a standardized measure that converts the yield on a discount bond to an annual basis. It's particularly useful for zero-coupon bonds and Treasury bills that don't pay periodic interest.

Why is it Important?

  • Enables comparison with annual yield securities
  • Standardizes yields across different maturities
  • Helps evaluate short-term investment opportunities
  • Provides annualized return perspective

Formula Explanation

BEY = (Face Value - Price) / Price × (365 / Days to Maturity)

  • BEY: Bond Equivalent Yield (%)
  • Face Value: Principal paid at maturity ($)
  • Price: Current market price ($)
  • Days to Maturity: Days until bond matures
  • 365: Days in year for annualization

Note: BEY assumes reinvestment at the same rate and uses simple interest calculation

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