Potential Future Exposure (PFE) is a standard risk metric for managing business unit counterparty credit risk but there is debate on how it should be calculated. The debate has been whether to use one of many historical ("physical") measures (one per calibration setup), or one of many...

We develop quantitative methods to support financial product analysis-redesign required by the Carbon Equivalence Principle (CEP) to achieve financial net-zero and thus carbon net-negative positions. We then apply the CEP analysis-redesign to project finance for power generation across a range...

We introduce the Carbon Equivalence Principle that requires carbon-equivalent flows enabled, or caused, by a financial product to have equal status with cashflows. This reveals that existing financial products already have environmental impact and so are ESG-linked, without the need for any...

Banks representing 40% of global banking assets are members of the Net-Zero Banking Alliance (NZBA) who commit to net-zero carbon in their portfolio impacts by roughly 2050. Here we present methods for steering their derivative portfolios based on the mitigation cost (benefit) of CO2-equivalent...

We introduce Dirac processes, using Dirac delta functions, for short-rate-type pricing of financial derivatives. Dirac processes add spikes to the existing building blocks of diffusions and jumps. Dirac processes are Generalized Processes, which have not been used directly before because the...

XVA models for the calculation of CVA, FVA (see for example (Burgard and Kjaer 2013)), KVA(Green, Kenyon, and Dennis 2014), MVA (Green and Kenyon 2014) and TVA (Kenyon and Green 2014a) have frequently been formulated at the counterparty level. However, it is clear that some elements of the...

Banks must manage their trading books, not just value them. Pricing includes valuation adjustments collectively known as XVA (at least credit, funding, capital and tax), so management must also include XVA. In trading book management we focus on pricing, hedging, and allocation of prices or...

Bilateral CVA as currently implement has the counter-intuitive effect of profiting from one's own widening CDS spreads, i.e. increased risk of default, in practice. The unified picture of CVA and liquidity introduced by Morini & Prampolini 2010 has contributed to understanding this. However,...

Changes in collateralization have been implicated in significant default (or near-default) events during the financial crisis, most notably with AIG. We have developed a framework for quantifying this effect based on moving between Merton-type and Black-Cox-type structural default models. Our...