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Basic Bond Price — result sheet
Fair price of an annual-coupon bond from yield to maturity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P = C x ((1-(1+y)^-n)/y) + F/(1+y)^n.
Price is coupons as an annuity plus discounted face value. Yield above coupon means a discount bond (price below face), shown in the verdict.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Face value — minimum 0.01; maximum 1000000000000
- Annual coupon rate — %; minimum 0; maximum 100
- Yield to maturity — %; minimum 0.01; maximum 100
- Years to maturity — minimum 0.01; maximum 100
Worked example
| Input | Value |
|---|---|
| Face value | 1000 |
| Annual coupon rate | 5 |
| Yield to maturity | 6 |
| Years to maturity | 10 |
Price 926.40 (discount bond).
Assumptions and limits
- Annual coupons, held to maturity, no default or calls.
- Constant yield; fractional years used exactly.
- One currency; accrued interest 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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