Macaulay Duration Calculator
Macaulay duration is a crucial concept in bond valuation and portfolio management. It measures the weighted average time until all the bond’s cash flows are received. Understanding how to calculate Macaulay duration by hand is essential for investors and financial analysts.
- Enter the coupon rate, frequency, and redemption value.
- Click ‘Calculate’.
- View the results and chart below.
The formula for Macaulay duration is:
D = (∑(t * CFt * (1 + r)^(-t)) / (PV))
Where:
Dis the Macaulay durationtis the time periodCFtis the cash flow at timetris the coupon ratePVis the present value of the bond
| Coupon Rate | Frequency | Macaulay Duration |
|---|---|---|
| 5% | Annually | 10.00 |
| 5% | Semi-Annually | 9.52 |
| 5% | Quarterly | 9.20 |
| 5% | Monthly | 8.93 |
- Macaulay duration is sensitive to changes in interest rates.
- It’s used to estimate the price sensitivity of a bond to changes in interest rates.
- For long-term bonds, Macaulay duration can be approximated by the bond’s maturity.
What is the difference between Macaulay duration and modified duration?
Macaulay duration measures the weighted average time until all the bond’s cash flows are received, while modified duration adjusts for the bond’s yield to maturity.