The effective duration of a bond measures its price sensitivity to changes in the benchmark yield curve. The correct calculation is:
EffDur=2×(ΔCurve)×(PV0)(PV+)−(PV−)
Where:
- PV0=95.35 (current price)
- PV+=99.50 (price if yield decreases by 0.5%)
- PV−=92.25 (price if yield increases by 0.5%)
- ΔCurve=0.005 (change in yield)
Substituting the values:
EffDur=2×0.005×95.3599.50−92.25=7.60
Why? Effective duration and convexity are the most appropriate measures for bonds with embedded options, as they account for potential changes in cash flows due to interest rate movements.