Since the 2008-2009 financial crisis, banks have introduced a family of X-valuation adjustments (XVAs) to quantify the cost of counterparty risk and of its capital and funding implications. XVAs represent a switch of paradigm in derivative management, from hedging to balance sheet optimization....

Deep learning for option pricing has emerged as a novel methodology for fast computations with applications in calibration and computation of Greeks. However, many of these approaches do not enforce any no-arbitrage conditions, and the subsequent local volatility surface is never considered. In...

The 2007 subprime crisis has induced a persistent disconnection between the Libor derivative markets of different tenors and the OIS market. Commonly proposed explanations for the corresponding spreads are a combination of credit risk and liquidity risk. However in the literature the meaning of...

We consider a bottom-up Markovian copula model of portfolio credit risk where dependence among credit names mainly stems from the possibility of simultaneous defaults. Due to the Markovian copula nature of the model, calibration of marginals and dependence parameters can be performed separately...

In the aftermath of the 2007 global financial crisis, banks started reflecting into derivative pricing the cost of capital and collateral funding through XVA metrics. XVA is a catch-all acronym whereby X is replaced by a letter such as C for credit, D for debt, F for funding, K for capital and...

Banking operations are being rewired around a pair of KVA/FVA metrics which quantify market incompleteness, i.e. the impossibility of perfect replication. The FVA is the cost of funding of debt liabilities while the KVA is the risk adjustment for equity liabilities, also called cost of capital....

The 2007 subprime crisis has induced a persistent disconnection between the LIBOR derivative markets of different tenors and the OIS swap market. Commonly proposed explanations for the corresponding spreads are a combination of credit risk and liquidity risk. However in these explanations the...

In this paper, we prove that the conditional dependence structure of default times in the Markov model of "A Bottom-Up Dynamic Model of Portfolio Credit Risk. Part I: Markov Copula Perspective" belongs to the class of Marshall-Olkin copulas. This allows us to derive a factor representation in...

We devise simulation/regression numerical schemes for pricing the CVA on CDO tranches, where CVA stands for Credit Valuation Adjustment, or price correction accounting for the defaultability of a counterparty in an OTC derivatives transaction. This is done in the setup of a continuous-time...