Wrong way risk (WWR) is a consideration for regulatory capital for credit valuation adjustment (CVA). WWR is also of interest for pricing and accounting and in these cases must include funding as well as exposure and default in CVA and FVA calculation. Here we introduce a model independent...

We present the first step in a program to develop a comprehensive, unified equilibrium theory of asset and liability pricing. We give a mathematical framework for pricing insurance products in a multiperiod financial market. This framework reflects classical economic principles (like utility...

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...

This paper considers the valuation of a spread call when asset prices are lognormal. The implicit strategy of the Kirk formula is to exercise if the price of the long asset exceeds a given power function of the price of the short asset. We derive a formula for the spread call value, conditional...

The standard approach of evaluating flexible power plants in deregulated markets is by modelling the spark spread. While this takes account of the volatility of electricity prices and cost of gas and CO2, it does not take account of technical costs (such as ramping up and down) and it ignores...

Empirical studies on quoted options highlight deviations from the theoretical model of Black and Scholes; this is due to different causes, such as assumptions regarding the price dynamics, markets frictions and investors' attitude toward risk. In this contribution, we focus on this latter issue...

Motivated by problems in mathematical finance and insurance, this paper discusses optimal stopping problem in general setting. It considers discounted running cost and stopping cost in addition to terminal gain in the objective function, subject to be optimized over finite-time period. The...

The covered call writing, which entails selling a call option on one's underlying stock holdings, is perceived by investors as a strategy with limited risk. It is a very popular strategy used by individual, professional and institutional investors; moreover, the CBOE developed the Buy Write...