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 is a material component of a trade valuation and hence it must impact the decision to exercise options within a given netting set. This is true for both unsecured trades and secured/cleared trades where KVA and MVA play a material role even if CVA and FVA do not. However, this effect has...

The two main issues for managing wrong way risk (WWR) for the credit valuation adjustment (CVA, i.e. WW-CVA) are calibration and hedging. Hence we start from a novel model-free worst-case approach based on static hedging of counterparty exposure with liquid options. We say "start from" because...

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...

Bank behaviour is important for pricing XVA because it links different counterparties and thus breaks the usual XVA pricing assumption of counterparty independence. Consider a typical case of a bank hedging a client trade via a CCP. On client default the hedge (effects) will be removed...

We introduce Normal-based smile models for year-on-year inflation motivated by the observation that market Log-Normal caplet volatilities of lt;1% imply Normality for maturities of up to 30 years. We are also motivated by the range of quoted strikes (from negative to positive) for caps and...

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...

Credit risk may be warehoused by choice, or because of limited hedging possibilities. Credit risk warehousing increases capital requirements and leaves open risk. Open risk must be priced in the physical measure, rather than the risk neutral measure, and implies profits and losses. Furthermore...

Initial margin requirements are becoming an increasingly common feature of derivative markets. However, while the valuation of derivatives under collateralisation (Piterbarg, 2010, 2012a), under counterparty risk with unsecured funding costs (FVA) (Burgard and Kjaer, 2011a, 2011b, 2013) and in...

Regulations impose idiosyncratic capital and funding costs for holding derivatives. Capital requirements are costly because derivatives desks are risky businesses; funding is costly in part because regulations increase the minimum funding tenor. Idiosyncratic costs mean no single measure makes...