Macaulay Duration Calculator

Understand the investment calculation

What the Macaulay Duration Calculator is for

Estimate present-value-weighted cash-flow time.

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

Macaulay duration = Σ(time × PV cash flow) ÷ price.

Visual explanation

See how the inputs become the result

Coupons+Face value→Present valueDiscount every cash flow using the entered timing conventionMacaulay duration = Σ(time × PV cash flow) ÷ price.

Read the estimate correctly

Use the result within its boundaries

A 1,000 face, 5% coupon, 6% yield, 10-year semiannual bond has approximate Macaulay duration 7.895 years.

Cash flows begin one full coupon period after a coupon-date valuation; duration is reported in years.

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

Macaulay duration = Σ(time × PV cash flow) ÷ price.

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

Worked example

A 1,000 face, 5% coupon, 6% yield, 10-year semiannual bond has approximate Macaulay duration 7.895 years.

Macaulay duration = Σ(time × PV cash flow) ÷ price.

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; duration is reported in years.