Bond Yield to Maturity
Solve a fixed-coupon bond yield from its coupon-date price.
Your numbers
Nominal annual yield
Educational estimate using your assumptions; no live rates, tax rules or investment recommendations. Returns can be negative and are not guaranteed. Uses equal coupon periods and settlement on a coupon date; excludes default and accrued interest.
Scenario comparison
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Formula
Solve P = Σ C/(1+y/m)^k + F/(1+y/m)^N for y. P is market price, F is face value, C is each coupon payment, m is payments per year, and N is total coupon periods. y is the nominal annual yield fraction.
Solve a fixed-coupon bond yield from its coupon-date price.
Worked example
- Face value
- 1000
- Annual coupon rate (%)
- 5
- Whole years to maturity
- 5
- Coupon payments per year
- 2
- Market price
- 1000
- Nominal annual yield
- 5 %
Scope and limitations
Educational estimate using your assumptions; no live rates, tax rules or investment recommendations. Returns can be negative and are not guaranteed. Uses equal coupon periods and settlement on a coupon date; excludes default and accrued interest.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: fad3afa36633 · Example checked: