Calculating your bond price is straightforward once you know the Bond Price formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Bond Price Calculator.
What is Bond Price?
The Bond Price calculation tells you your bond price from a few simple inputs. The figure you are solving for here is the bond price, expressed in INR.
The Bond Price formula
The core formula is:
Bond price = (Face (par) value × Coupon rate ÷ 100) × (1 - (1 + Yield to maturity ÷ 100)^(-Years to maturity)) ÷ (Yield to maturity ÷ 100) + Face (par) value × (1 + Yield to maturity ÷ 100)^(-Years to maturity)Here is what each input means:
- Face (par) value — a money amount. Example: ₹1,000.
- Coupon rate — a percentage, such as an annual rate. Example: 8%.
- Yield to maturity — a percentage, such as an annual rate. Example: 1%.
- Years to maturity — a number. Example: 5.
How to calculate it step by step
- Write down the face (par) value (for example, ₹1,000).
- Write down the coupon rate (for example, 8%).
- Write down the yield to maturity (for example, 1%).
- Write down the years to maturity (for example, 5).
- Apply the formula above to get your bond price.
- Double-check the result with the Bond Price Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Face (par) value | ₹1,000 |
| Coupon rate | 8% |
| Yield to maturity | 1% |
| Years to maturity | 5 |
| Bond price | ₹924.18 |
With face (par) value of ₹1,000, coupon rate of 8%, yield to maturity of 1% and years to maturity of 5, the bond price works out to ₹924.18.
Example 2
With face (par) value of ₹2,000, coupon rate of 8%, yield to maturity of 1% and years to maturity of 5, the bond price works out to ₹1,848.37.
| Result | Value |
|---|---|
| Bond price | ₹1,848.37 |
Example 3
With face (par) value of ₹500, coupon rate of 8%, yield to maturity of 1% and years to maturity of 5, the bond price works out to ₹462.09.
| Result | Value |
|---|---|
| Bond price | ₹462.09 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
- Annual rates must be converted to the period you are calculating for (for example, divide an annual rate by 12 for a monthly figure).
Prefer not to do the maths by hand? — the Bond Price Calculator does it instantly, for free, with the formula and a worked example built in.
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