We study triangulation schemes for the joint kernel of a diffusion process with uniformly continuous coefficients and an adapted, non-resonant Abelian process. The prototypical example of Abelian process to which our methods apply is given by stochastic integrals with uniformly continuous...

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...

By halting the LIBOR's publication, large volumes of fixed income securities, from loans to derivatives, will fall back to an alternative fixing reference. The initial proposal of a SOFR fallback eliminated any degree of subjectivity but opened up funding risk. Overlaying a credit spread over...

The Dodd-Frank Act and the recently proposed Basel Committee regulatory framework for CCPs are a game changer for counterparty credit risk management. The practice of charging an upfront fee as a Credit Valuation Adjustment (CVA) to provision against counterparty credit risk liabilities is being...

Valuing, hedging and securitizing counterparty credit risk involves analyzing large portfolios of netting sets over time horizons spanning decades. Theory dictates that the simulation measure should be coherent, i.e. arbitrage free. It should also be used consistently both to simulate and to...

Banks hold and routinely exercise the option of freely re-hypothecating variation margin across counterparties and trades. However, the emerging FCA/FBA standards for funding cost accounting are mostly formulated in terms of netting set specific metrics that fail to properly account for...

We introduce an innovative theoretical framework for the valuation and replication of derivative transactions between defaultable entities based on the principle of arbitrage freedom. Our framework extends the traditional formulations based on Credit and Debit Valuation Adjustments (CVA and...

We introduce an innovative theoretical framework for the valuation and replication of derivative transactions between defaultable entities based on the principle of arbitrage freedom. Our framework extends the traditional formulations based on credit and debit valuation adjustments (CVA and...