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Bond Modified Duration Calculator

Macaulay duration / (1 + y / m) for a vanilla coupon bond.

Compute the Macaulay and modified durations of a vanilla annual-coupon bond from face value, coupon rate, yield-to-maturity, and years to maturity (≤ 10). Modified duration measures price sensitivity to a 1 % change in yield.

Nadia Almasri By Nadia Almasri
Published Last reviewed 1 min read

Inputs

$
%
%

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

D_Macaulay = Σ(t · PV_CF_t) / price; D_modified = D_Macaulay / (1 + y).

In depth

Compute the Macaulay and modified durations of a vanilla annual-coupon bond from face value, coupon rate, yield-to-maturity, and years to maturity (≤ 10). Modified duration measures price sensitivity to a 1 % change in yield.