# CONVEXITY Definition

CONVEXITY is the price change that occurs for a bond not accounted for or predicted by modified dU1"ation. Convexity explains why price change estimates using modified duration increase in error as the yield changes, generally by more than 100 basis points. Bonds with positive (negative) convexity have increased (decreased) duration as interest rates fall (rise). Bonds with positive convexity, such as those with put options, have returns higher than those predicted by duration alone. Mortgage-backed securities and callable bonds gener­ally have negative convexity, which means that the price increase predicted by duration for a steep rate decline is too high.

# Learn new Accounting Terms

RECOVERABLE AMOUNT is, in relation to an asset, the net amount that is expected to be recovered through the cash inflows and outflows arising from its continued use and subsequent disposal.

CAPITAL ASSET PRICING MODEL (CAPM) is an equilibrium model which describes the pricing of assets, as well as derivatives. The model concludes that the expected return of an asset (or derivative) equals the riskless return plus a measure of the assets non-diversiable risk ("beta") times the market-wide risk premium (excess expected return of the market portfolio over the riskless return). That is: expected security return = riskless return + beta x (expected market risk premium). It concludes that only the risk which cannot be diversified away by holding a well-diversified portfolio (e.g. the market portfolio) will affect the market price of the asset. This risk is called systematic risk, while risk that can be diversified away is called diversifiable risk (or "nonsystematic risk"). Unfortunately, The CAPM is more difficult to implement in practice than the binomial option pricing model or the Black-Scholes formula because to price an asset it requires measurement of the assets expected return and its beta. But, on the other hand, it also attempts to answer a more difficult question: The binomial option pricing model or the Black-Scholes formula asks what is the value of a derivative relative to the concurrent value of its underlying asset. The CAPM asks what is the value of an asset (or derivative) relative to the return of the market portfolio. Because of this, the option models are often referred to as "relative" valuation models, while the CAPM is considered an "absolute" valuation model. William Sharpe won the Nobel Prize in Economics principally for his role in the development of the CAPM.