Macaulay Duration Calculator
Interest Cash Flows & Present Value (PV):
| Year | Cash Flow | Present Value (PV) |
|---|---|---|
| Year 1 | ₹80 | ₹73 |
| Year 2 | ₹80 | ₹67 |
| Year 3 | ₹1,080 | ₹834 |
💡 **Duration Insight**: A Macaulay Duration of **2.78 Years** means you recover the cost of the bond in 2.78 years. A Modified Duration of **2.55%** indicates that if market yields rise by 1.0%, the bond's price is expected to decrease by **2.55%**.
What to do next
Based on your Macaulay Duration Calculator, here are the tools you should try next:
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Macaulay Duration Weighted Formula
Calculates the weighted average time (in years) required to recover the bond's purchase cost, indicating price volatility.
Worked Example: 3-year bond with Face Value ₹1,000, 8% annual coupon, YTM at 9%
Macaulay Duration: Measuring bond price sensitivity to interest rates
Vikram invested in a 3-year corporate bond with an 8% coupon rate. Interest rates in the economy began to fluctuate, and Vikram wanted to know how sensitive his bond portfolio was to these rate changes.
He calculated the Macaulay Duration of the bond to be 2.78 years. This meant that, on average, he would recover his purchase cost in 2.78 years. His Modified Duration was 2.55%, meaning a 1% rise in rates would cause a 2.55% fall in bond price.
Macaulay Duration measures a bond's weighted recovery time, indicating its price sensitivity to interest rate fluctuations.
Use Macaulay Duration to manage portfolio risk. Choose shorter durations when interest rates are rising to minimize bond capital losses.
Frequently Asked Questions
What does Macaulay Duration indicate?
Macaulay Duration measures the time (in years) required for an investor to recover their initial bond purchase price from cash flows.
How does duration relate to interest rate risk?
Bonds with longer Macaulay durations are more sensitive to changes in market interest rates, carrying higher price volatility.
What is the difference between Macaulay and Modified Duration?
Macaulay duration calculates weighted time in years. Modified duration measures the percentage price change of the bond for a 1% change in YTM.
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