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Bond Price and Convexity Scenario Calculator — result sheet
Estimate a plain fixed-coupon bond price and cash-flow convexity from supplied terms and yield.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Price=Σ cash flow/(1+y/m)^t; convexity=Σ cash flow×t(t+1)/(1+y/m)^(t+2) divided by price×m².
The cash-flow loop is explicit for a plain coupon bond; callable, floating-rate, credit, tax, and market-liquidity effects are not modeled.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Face value — minimum 1.0E-6; maximum 1000000000
- Annual coupon rate — minimum 0; maximum 2
- Number of coupon periods — minimum 1; maximum 1000
- Annual yield rate — minimum -0.99; maximum 10
- Coupon payments per year — minimum 1; maximum 365
Worked example
| Input | Value |
|---|---|
| Face value | 1000 |
| Annual coupon rate | 0.05 |
| Number of coupon periods | 10 |
| Annual yield rate | 0.05 |
| Coupon payments per year | 1 |
Price ≈1,000; convexity ≈74.998 periods².
Assumptions and limits
- Coupon rate, yield, periods, and payment frequency are compatible.
- The final period includes face value and every earlier period includes the coupon payment.
- This is a deterministic scenario, not a live quote or investment recommendation.
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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