Black-Scholes
Valuing scenarios with real option pricing
Risk managers could use Black-Scholes to help drive strategy, writes René Doff
A positive response to negative oil prices
Overhauling pricing models could reap rewards even if prices don’t cross zero again
A tale of two (or three, or four) models
Performance measure based on quality of replicating portfolios outperforms ‘P&L explain’, new paper claims
Quantifying model performance
Quality of replicating portfolio is used to measure performance of a model
Bachelier – a strange new world for oil options
Model tuned to negative prices has implications for pricing, margining and delta hedging
CME was ill-prepared for negative oil prices, FCMs say
Bourse draws criticism over timing of options model change; delay in sending key margin file
Three adjustments in calibrating models with neural networks
New research addresses fundamental issues with ANN approximation of pricing models
Pricing American call options using the Black–Scholes equation with a nonlinear volatility function
In this paper, the authors investigate a nonlinear generalization of the Black–Scholes equation for pricing American-style call options, where the volatility term may depend on both the underlying asset price and the Gamma of the option.
The Chebyshev method for the implied volatility
In this paper, the authors propose a bivariate interpolation of the implied volatility surface based on Chebyshev polynomials. This yields a closed-form approximation of the implied volatility, which is easy to implement and to maintain.
Path independence of exotic options and convergence of binomial approximations
In this paper, the authors analyse the convergence of tree methods for pricing barrier and lookback options.
Deep hedging and the end of the Black-Scholes era
Quants are embracing the idea of ‘model free’ pricing and hedging
How AI could tear up risk modelling canon
BlackRock, MSCI, LFIS among firms looking to replace traditional, linear risk models
Podcast: Hans Buehler on deep hedging and harnessing data
Quant says a new machine learning technique could change the way banks hedge derivatives
JP Morgan turns to machine learning for options hedging
New models sidestep Black-Scholes and could slash hedging costs for some derivatives by up to 80%
Application of the Heath–Platen estimator in the Fong–Vasicek short rate model
In this paper, the authors construct a Heath-Platen-type Monte Carlo estimator that performs extraordinarily well compared with the crude Monte Carlo estimation.
Efficient conservative second-order central-upwind schemes for option-pricing problems
In this paper, the authors propose improvements to the approach of Ramírez-Espinoza and Ehrhardt (2013) for option-pricing PDEs formulated in the conservative form.
Vibrato and automatic differentiation for high-order derivatives and sensitivities of financial options
This paper deals with the computation of second-order or higher Greeks of financial securities. It combines two methods, vibrato and automatic differentiation (AD), and compares these with other methods.
Polynomial upper and lower bounds for financial derivative price functions under regime-switching
In this paper, the authors present a new approach to bounding financial derivative prices in regime-switching market models from both above and below.
Importance sampling applied to Greeks for jump–diffusion models with stochastic volatility
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.
Rogue traders versus value-at-risk and expected shortfall
VAR and ES are ineffective to deter rogue trading
Validation of profit and loss attribution models for equity derivatives
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.
What financialisation means for oil: Ilia Bouchouev of Koch
Investor demand now drives oil prices as much as physical fundamentals
Quant of the year: Jean-Philippe Bouchaud
Risk Awards 2017: Physicist takes on classic models with data and empirical research