Credit Value Adjustment (CVA) has been one of the "hot topics" in the financial industry since 2009. There have been several papers on the subject and the topic has been widely discussed in all banking conferences around the world. However, often, the fundamentals of this topic have been...

Financial institutions now face the important challenge of having to do multiple portfolio revaluations for their risk computation. The list is almost endless: from XVAs to FRTB, stress testing programs, etc. These computations require from several hundred up to a few million revaluations. The...

The use of CVA to cover credit risk is widely spread, but has its limitations. Namely, dealers face the problem of the illiquidity of instruments used for hedging it, hence forced to warehouse credit risk. As a result, dealers tend to offer a limited OTC derivatives market to highly risky...

Inspired by a series of remarkable papers in recent years, that use Deep Neural Nets to substantially speed up the calibration of pricing models, we investigate the use of Chebyshev Tensors instead of Deep Neural Nets. Given that Chebyshev Tensors can be, under certain circumstances, more...

We present two methods, based on Chebyshev tensors, to compute dynamic sensitivities of financial instruments within a Monte Carlo simulation. These methods are implemented and run in a Monte Carlo engine to compute Dynamic Initial Margin as defined by ISDA (SIMM). We show that the levels of...

"The computational demand of risk calculations in financial institutions has ballooned. Traditionally, this has led to the acquisition of more and more computer power -- some banks have farms in the order of 50,000 CPUs, with running costs in the multimillions of dollars -- but this path is no...

Cover -- Title Page -- Copyright Page -- Contents -- Acknowledgements -- Foreword -- Motivation and aim of this book -- Part One Fundamental Approximation Methods -- Chapter 1 Machine Learning -- 1.1 Introduction to Machine Learning -- 1.1.1 A brief history of Machine Learning Methods -- 1.1.2...