This paper compares two methods to calibrate two popular models that are widely used for stochastic volatility modeling (ie, the SABR and Heston models) with the time series of options written on the Nasdaq 100 index to examine the regularization effect…
Optimal transport theory offers a data-driven way to calibrate derivatives pricing models
Volatility models and SPX/VIX joint dynamics are calibrated using optimal transport theory
Calibration of rating grades to point-in-time and through-the-cycle levels of probability of default
The paper argues for the need for and importance of the dual calibration of a probability of default (PD) model (ie, calibration to both point-in-time and through-the-cycle PD levels.)
This paper presents a backtesting framework for a probability of default model, assuming that the latter is calibrated to both point-in-time and through-the-cycle levels.
A new solution to calibrate derivatives with multiple strikes is proposed
This paper calibrates a perpetual-debt structural model (PDSM) by using Moody’s historical credit ratings.
This work presents an efficient computational framework for pricing a general class of exotic and vanilla options under a versatile stochastic volatility model.
Calibration of local-stochastic and path-dependent volatility models to vanilla and no-touch options
In this paper, the authors consider a large class of continuous semi-martingale models and propose a generic framework for their simultaneous calibration to vanilla and no-touch options.
A stochastic time change helps the modelling of rating transition
Quants unveil new technique for controlling extrapolation by neural networks
In this paper, the authors review the different methods designed to estimate matrixes from their marginals and potentially exogenous information.
This paper provides a comprehensive review of the field of neural networks, comparing articles in terms of input features, output variables, benchmark models, performance measures, data partition methods and underlying assets. Related work and…
A combination of rough volatility and price-feedback effect allows for SPX-Vix joint calibration
Steering a portfolio of non-linear derivatives, such as options and more exotic products, is challenging at the best of times. Market risks change as markets move and time passes, risks offset in complex ways and proxy hedging is common. In this feature,…
SPX and Vix derivatives are modelled jointly in an arbitrage-free setting
New research addresses fundamental issues with ANN approximation of pricing models
Addressing model calibration and the issue of no-arbitrage in a deep learning approach
This paper considers a definition of through-the-cycle as independent from an economic state that can result in a time-varying TTC probability of default.
In this paper, the authors propose and investigate a new method for the calibration to American option price data.
Validation of the backtesting process under the targeted review of internal models: practical recommendations for probability of default models
This paper provides practical recommendations for the validation of the backtesting process under the targeted review of internal models (TRIM).
This paper extends Gatheral and Jacquier’s surface stochastic volatility-inspired (SSVI) parameterization by making the correlation maturity dependent and obtaining the necessary and sufficient conditions for no calendar-spread arbitrage.
Thin trade volumes in local derivatives threaten to undermine key tests for initial margin models