Calculate Zero Coupon Bond Convexity
Zero coupon bond convexity is a measure of the curvature of the price-yield relationship of a zero-coupon bond. It’s crucial for understanding and managing interest rate risk in fixed income portfolios.
- Enter the price, maturity, and yield of the zero-coupon bond.
- Click ‘Calculate’.
- View the results and chart below.
The convexity of a zero-coupon bond can be calculated using the following formula:
Convexity = (Maturity^2 * (1 + Yield)^Maturity * Price) / ((1 + Yield)^(2*Maturity) - 1)
| Price | Maturity (years) | Yield (%) | Convexity |
|---|---|---|---|
| $850 | 5 | 3.5 | 12.34 |
| $1000 | 10 | 4.2 | 21.45 |
| $1200 | 15 | 3.8 | 34.56 |
| Yield (%) | Convexity |
|---|---|
| 3 | 8.23 |
| 4 | 14.56 |
| 5 | 23.45 |
- Higher convexity indicates greater sensitivity to changes in interest rates.
- Convexity is particularly important for long-term bonds and when yields are low.
What is the difference between convexity and duration?
Duration measures the weighted average time to receive the cash flows from a bond, while convexity measures the curvature of the price-yield relationship.
Why is convexity important?
Convexity helps investors understand the potential impact of interest rate changes on their bond portfolio.
For more information, see the Federal Reserve and Investopedia.