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Bond Macaulay Duration from Coupon and YTM Calculator

Weighted average time to receive cash flows.

Calculates Macaulay duration = Σ(t × PV(CF_t)) / Bond Price and modified duration = Macaulay / (1 + YTM/n) for a coupon-paying bond.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

$
%
%
yr

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_mac = Σ[t · C/(1+y)^t + T·FV/(1+y)^T] / Price

In depth

Calculates Macaulay duration = Σ(t × PV(CF_t)) / Bond Price and modified duration = Macaulay / (1 + YTM/n) for a coupon-paying bond.