Bond Convexity Calculator

Understand the investment calculation

What the Bond Convexity Calculator is for

Estimate conventional discrete bond convexity.

It makes the prices, cash flows, rates, time periods, weights, and model conventions explicit so you can inspect an entered scenario without hidden live-market assumptions.

Calculation structure

Follow the stated model and units

Convexity = Σ[CF×t(t+1)/(1+y)^(t+2)] ÷ (price×frequency²).

Visual explanation

See how the inputs become the result

Coupons+Face value→Present valueDiscount every cash flow using the entered timing conventionConvexity = Σ[CF×t(t+1)/(1+y)^(t+2)] ÷ (price×frequency²).

Read the estimate correctly

Use the result within its boundaries

The 1,000 face, 5% coupon, 6% yield, 10-year semiannual example has approximate convexity 71.785 years².

Cash flows begin one full coupon period after a coupon-date valuation; this discrete convexity convention is reported in years squared.

Quick guide

How to use this calculator

Enter contractual cash flows, prices, rates, dates or day counts, and frequency assumptions.
Use one consistent currency and the exact nominal/effective convention shown.
Read the callable, curve, day-count, and duration limitations before interpreting the result.

Calculation method

Convexity = Σ[CF×t(t+1)/(1+y)^(t+2)] ÷ (price×frequency²).

Iterative yields and curve results use bounded numerical solves and are marked approximate.

Worked example

The 1,000 face, 5% coupon, 6% yield, 10-year semiannual example has approximate convexity 71.785 years².

Convexity = Σ[CF×t(t+1)/(1+y)^(t+2)] ÷ (price×frequency²).

Supported inputs

Precision and limits

Visible input limits

At most 1,200 cash-flow periods or rows are supported. Payment periods must be whole and formula domains are validated explicitly.

International scope

No issuer, currency, exchange, settlement date, holiday calendar, day-count convention, tax rule, credit rating, yield curve, or contract term is selected automatically.

Decision boundary

Outputs are entered scenarios, not executable prices, credit opinions, duration hedges, call forecasts, risk limits, or recommendations.

Calculator-specific assumptions

Cash flows begin one full coupon period after a coupon-date valuation; this discrete convexity convention is reported in years squared.