In this paper, the authors develop a procedure to reduce the variance when numerically computing the Greeks obtained via Malliavin calculus for jump–diffusion models with stochastic volatility.
VAR and ES are ineffective to deter rogue trading
The aim of this paper is to validate profit and loss attribution generated by daily movements of option prices as seen through their Black–Scholes (Black and Scholes 1973) and Merton (1973) implied volatilities.
Pricing multidimensional financial derivatives with stochastic volatilities using the dimensional-adaptive combination technique
In this paper, the authors present a new and general approach to price derivatives based on the Black–Scholes partial differential equation (BS-PDE) in a multidimensional setting.
Investor demand now drives oil prices as much as physical fundamentals
Risk Awards 2017: Physicist takes on classic models with data and empirical research
Peter Austing introduces an analytic or semi-analytic valuation of basket options
Julien Guyon introduces cross-dependent volatility models and calibrate them to market smiles
Negative rates causing pricing model rethink
Wujiang Lou calculates CVA and FVA abiding by the law of one price
Sponsored feature: Commerzbank
The damped Crank–Nicolson time-marching scheme for the adaptive solution of the Black–Scholes equation
This paper deals with error estimators and mesh adaptation for a space-time finite element discretization of the basic Black-Scholes equation. An interesting modern numerical mathematical technique for a fundamental pricing equation in finance is…
HSBC quant builds funding costs and haircuts into Black-Scholes option pricing formula
Wujiang Lou shows the impact of funding costs on option valuation
Regulations impose idiosyncratic capital and funding costs for holding derivatives. Idiosyncratic costs mean that no single measure makes derivatives martingales for all market participants. Chris Kenyon and Andrew Green demonstrate that regulatory…
New areas for quant research are in abundance, but resources are not
Application of quantitative analysis to energy was far from smooth
In celebration of our 25th anniversary this year, Risk re-publishes a landmark article by Fischer Black, offering a critique of the Black-Scholes model
In defence of FVA