Key Takeaway

Macaulay Duration measures a bond's sensitivity to interest rate changes. Higher duration means greater price volatility. A bond with 5-year duration drops ~5% in price for every 1% interest rate increase.

8%
9%
3 Years
Macaulay Duration2.78 Years
Modified Duration2.55%
Bond Market Price975

Interest Cash Flows & Present Value (PV):

YearCash FlowPresent Value (PV)
Year 18073
Year 28067
Year 31,080834

💡 **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%**.

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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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