billycalc

Macaulay Duration (Duration, years)

Calculate Macaulay Duration instantly with the exact formula and a worked example.

Macaulay Duration

Bond face value$
Annual coupon rate%
Yield to maturity per year%
Time to maturityyears
Coupons per year (0 = 1, 1 = 2, 2 = 4, 3 = 12)
Duration, years
7.895years
Calculate Macaulay Duration instantly with the exact formula and a worked example.
Modified duration
7.665
Bond price
925.61$
Price change for +1 pp yield
-7.67%

More about: Macaulay Duration (Duration, years)

What it calculates

The “Macaulay Duration (Duration, years)” calculator computes Duration, years in years from 5 parameters: bond face value ($), annual coupon rate (%), yield to maturity per year (%), time to maturity (years), coupons per year (0 = 1, 1 = 2, 2 = 4, 3 = 12).

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters Bond face value = 1,000 $, Annual coupon rate = 5 %, Yield to maturity per year = 6 %, Time to maturity = 10 years, Coupons per year (0 = 1, 1 = 2, 2 = 4, 3 = 12) = 1 the result is 7.89 years.

How to use

  1. Enter bond face value, annual coupon rate, yield to maturity per year, time to maturity and coupons per year (0 = 1, 1 = 2, 2 = 4, 3 = 12) — each field above is adjustable with a slider.
  2. Duration, years (years) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

Related calculators

FAQ

How is Macaulay Duration (Duration, years) calculated?
The Macaulay Duration (Duration, years) calculator computes Duration, years (in years) from bond face value, annual coupon rate, yield to maturity per year, time to maturity, coupons per year (0 = 1, 1 = 2, 2 = 4, 3 = 12). Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Macaulay Duration (Duration, years) calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

More calculators in this category

Explore related free tools

Greatest Common Divisor (GCD / GCF)Least Common Multiple (LCM)Prime Number CheckerModulo (Remainder)Absolute ValueFloor and CeilingRounding NumbersFraction to DecimalRatio Solver (a:b = c:x)Proportion SolverScientific Notation ConverterLinear Equation (ax + b = 0)