Preface: It is necessary to thank many people at the end of a big project like writing a book. First, my thanks go to my patient editor Sunil Nair and his editorial assistants Rachel Holt and Sarah Gelson. Two anonymous reviewers made very thorough and useful comments on an earlier manuscript....

In the forty years since the seminal article by Black and Scholes (1973), quantitative methods have become indispensable in the assessment, pricing and hedging of financial risk. This is most evident in the techniques used to price derivative financial instruments, but permeates all areas of...

"This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and...

Martingales and optimal stopping -- Derivatives in general and binomial markets -- Fundamental theorems of asset pricing -- Superhedging -- Hedging with risk -- Martingales in continuous time and optimal stopping -- Introduction to stochastic analysis -- Derivatives in the Black-Scholes market...