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...

The ongoing controversy about whether or not the FVA and KVA should be an adjustment to fair valuation originates from the attempt to shoehorn metrics quantifying market incompleteness into the traditional valuation paradigm based on complete markets. After reviewing the concept of fair...

Implementations of the Standard Initial Margin Model (SIMM) and the Sensitivity Based Approach (SBA) in the Fundamental Review of the Trading Book (FRTB), both call for the calculation of sensitivities with respect to a standardised set of risk factors. Since standard factors are generally...

We recently introduced the FVA/FDA accounting framework for funding costs, aiming to provide an accounting method that reasonably balances the, often conflicting, concerns of accountants, regulators, traders, and financial economists. While introduction of FVA/FDA accounting does not lead to...

Partial differential equation (PDE) pricing methods such as backward and forward induction are typically implemented as unconditionally marginally stable algorithms in double precision for individual transactions. In this paper, we reconsider this strategy and argue that optimal GPU...

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...

In the first quarter of 2006 Chicago Board Options Exchange (CBOE) introduced, as one of the listed products, options on its implied volatility index (VIX). This opened the challenge of developing a pricing framework that can simultaneously handle European options, forward-starts, options on the...

We present a numerical method for pricing derivatives on electricity prices. The method is based on approximating the generator of the underlying process and can be applied for stochastic processes that are combinations of diffusions and jump processes. The method is accurate even in the case of...

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...