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Bond Yield to Maturity Calculator — result sheet
Estimate the annual yield to maturity that equates a coupon bond's future cash flows with its current price.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Price = Σ coupon/(1+y/m)^t + face value/(1+y/m)^n; YTM is the annual nominal rate y that solves the equation.
The calculator numerically solves the discount rate implied by the entered price, coupon, maturity, and payment frequency.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Current bond price — currency; minimum 1.0E-6; maximum 1000000000000
- Face value — currency; minimum 1.0E-6; maximum 1000000000000
- Annual coupon rate — %; minimum 0; maximum 1000
- Years to maturity — years; minimum 1.0E-6; maximum 1000
- Coupon payments per year — 4 choices
Worked example
| Input | Value |
|---|---|
| Current bond price | 950 |
| Face value | 1000 |
| Annual coupon rate | 6 |
| Years to maturity | 5 |
| Coupon payments per year | 2 |
Estimated yield to maturity is about 7.2% annually.
Assumptions and limits
- Coupons are level and paid at regular intervals until maturity.
- The bond is held to maturity and all promised cash flows are received.
- Calls, defaults, taxes, accrued interest, day-count conventions, and reinvestment risk are excluded.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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