Negative Convexity When the shape of a bond's yield curve is concave. A bond’s convexity is the rate of change of its duration, and is measured as the second derivative of price with respect to yield.
Most mortgage bonds are negatively convex. Investopedia Says: Callable bonds are negatively convex at lower yields than the yield at which the bond is likely to be called.
One property of a non-callable bond is that as interest rates fall, its price will increase. However, with a callable bond, as interest rates fall, the incentive for the issuer to call the bond at par increases; therefore, its price will not rise as quickly as the price of a non-callable bond.
The price of a callable bond might actually drop as the likelihood that the bond will be called increases. This is why the shape of a callable bond's curve of price with respect to yield is concave or "negatively convex." Related Terms: Bond Convexity Duration Loan Servicing Mortgage Bond Mortgage-Backed Securities - MBS Yield |