Industry WIKI

In probability theory, Girsanov's theorem or the Cameron-Martin-Girsanov theorem explains how stochastic processes change under changes in measure.

In financial mathematics, the implied volatility (IV) of an option contract is that value of the volatility of the underlying instrument which, when input in an option pricing model (usually Black–Scholes), will return a theoretical value equal to the price of the option. A non-option financial instrument that has embedded optionality, such as an interest rate cap, can also have an impl

Volatility smiles are implied volatility patterns that arise in pricing financial options. It is a parameter (implied volatility) that needs to be modified for the Black–Scholes formula to fit market prices. Generally, for a given expiration, options whose strike price differs substantially from the underlying asset's forward price tend to have prices that deviate from their expected pri