This book provides a rigorous introduction to the theory, computation, and applications of variational inequalities (VIs), with a focus on applications in management science and finance. It aims to bridge the gap between the abstract mathematical treatments of the subject and simplistic,...

Recent empirical studies report predictable dynamics in the volatility surfaces implied by observed index option prices, as prescribed by general equilibrium models. Using an extensive data set from the over-the-counter options market, we document similar predictability in the factors that...

Volatility implied from observed option contracts systematically varies with the contracts' strike price and time to expiration, giving rise to an instantaneously non-flat implied volatility surface (IVS) that exhibits substantial time variation. We identify a number of latent factors that drive...