Explanation:
The approximate convexity of a bond is calculated using the formula:
ApproxCon=(ΔY)2×(PV0)(PV+)+(PV−)−2×(PV0)
Where:
- PV+ is the price when the yield decreases by 10 basis points (96.30).
- PV− is the price when the yield increases by 10 basis points (95.80).
- PV0 is the original price (96.00).
- ΔY is the change in yield (0.001 or 10 basis points).
Substituting the values:
ApproxCon=(0.001)2×96.0096.30+95.80−2×96.00=0.000001×96.00192.10−192.00=0.0000960.10≈1,042
Option A (521) is incorrect because the denominator is mistakenly multiplied by 2, as in the calculation of approximate duration.
Option C (2,604) is incorrect because the change in yield (0.001) is not squared, leading to an erroneous calculation.