Research on ‘rough volatility’ gives fresh insight into financial fluctuations, quant expert explains
The authors consider the problem of finding a valid covariance matrix in the foreign exchange market given an initial nonpositively semidefinite (non-PSD) estimate of such a matrix.
Risk managers could use Black-Scholes to help drive strategy, writes René Doff
Overhauling pricing models could reap rewards even if prices don’t cross zero again
Performance measure based on quality of replicating portfolios outperforms ‘P&L explain’, new paper claims
Quality of replicating portfolio is used to measure performance of a model
Model tuned to negative prices has implications for pricing, margining and delta hedging
Bourse draws criticism over timing of options model change; delay in sending key margin file
New research addresses fundamental issues with ANN approximation of pricing models
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.
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.
In this paper, the authors analyse the convergence of tree methods for pricing barrier and lookback options.
Quants are embracing the idea of ‘model free’ pricing and hedging
BlackRock, MSCI, LFIS among firms looking to replace traditional, linear risk models
Quant says a new machine learning technique could change the way banks hedge derivatives
New models sidestep Black-Scholes and could slash hedging costs for some derivatives by up to 80%
In this paper, the authors construct a Heath-Platen-type Monte Carlo estimator that performs extraordinarily well compared with the crude Monte Carlo estimation.
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.
In this paper, the authors present a new approach to bounding financial derivative prices in regime-switching market models from both above and below.
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.