What is the convexity of a bond?
A measure of how a bond’s duration changes as interest rates change — it shows the curvature of the price–yield relationship. Higher convexity = less price drop when rates rise
How to calculate the convexity?
Formula :
%price change=(-DurationDy)+(1/2 convexityDy^2)
On the bond function:
Sum of : Time to receipt(Time to receipt+1)weight*(1+YTM/2)-2
How to calculate approximate convexity?
((pv-)+(pv+)-(2pvo))/(DYield)2Pvo
Convexity definition
Curvature of price-yield relationship
Convexity benefit
Improves duration estimate
Price change formula
–DurΔy + ½Conv(Δy²)
Positive convexity
Normal bonds
Negative convexity
Callable bonds
Money convexity
Convexity × price
Portfolio convexity
Weighted average
Convexity effect
Larger for big yield changes
Callable bond convexity
Negative at low yields
Putable bond convexity
Always positive