Xva Analysis: Probabilistic, Risk Measure, and Machine Learning Issues - Couverture rigide

Crépey, Stéphane

 
9781041014201: Xva Analysis: Probabilistic, Risk Measure, and Machine Learning Issues

Synopsis

XVA Analysis: Probabilistic, Risk Measure, and Machine Learning Issues offers readers an up-to-date and comprehensive exploration of the X-Value Adjustment (XVA) universe and of the embedded risk measure issues inherent within it. The book tackles this subject through the triple lens of finance (wealth transfers), stochastic analysis (enlargement of filtration and BSDEs), and numerical computations.

The traditional Credit Valuation Adjustment (CVA) desk compensates the trading desks for the cash flows that they lose in case of defaults of their counterparties. The Treasury of the bank funds the activity of the trading desks and of the CVA desk at the risk-free rate. The CVA desk and the Treasury charge their costs to the clients of the bank at a valuation level ensuring corresponding PnL processes that are martingales relative to a fininsurance probability measure calibrated to the market and consistent with the physical probability measure given the market. The management of the bank charges to the clients of the bank an additional risk premium, turning the overall dividend process of the bank shareholders into a submartingale in line with a target hurdle rate on their capital at risk within the bank.

This is the essence of the cost-of-capital XVA approach, which can also be used in reverse engineering mode, for determining the price range of a new deal that improves the implied hurdle rate of the bank shareholders. The advent of XVAs reflects a shift of paradigm regarding the pricing and risk management of financial derivatives, from hedging to balance sheet optimization. It is this approach which this book shall explore.

Features

- Numerous illustrative figures and examples

- Unprecedented coverage of neural network regression methodologies

- Suitable as supplementary reading for graduate students and as a practical reference for professional quantitative analysts and risk managers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Stéphane Crépey is a professor at the mathematics department of Univ Evry, Université Paris-Saclay, in charge of the probability and finance group and of the quantitative finance master 2 program.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.