This paper analyses the implementation and calibration of the Heston Stochastic Volatility Model. We first explain how characteristic functions can be used to esti-mate option prices. Then we consider the implementation of the Heston model, showing that relatively simple solutions can lead to...

This paper analyses the implementation and calibration of the Heston Stochastic Volatility Model. We first explain how characteristic functions can be used to estimate option prices. Then we consider the implementation of the Heston model, showing that relatively simple solutions can lead to...

We consider a tractable affine stochastic volatility model that generalizes the seminal Heston (1993) model by augmenting it with jumps in the instantaneous variance process. In this framework, we consider options written on the realized variance, and we examine the impact of the distribution of...

Monte Carlo simulation or probability simulation is a technique used to understand the impact of risk and uncertainty in financial and other forecasting models. It is very useful when complex financial instruments need to be priced. Exotic options are listed on the JSE on its Can-Do platform....

Integrated Trend Analysis is an attempt to study and analysis the diverse forces which affect the price of a security with the help of Triple Trend Oscillator (TTO). TTO is a trend following oscillator devised to identify the exact technical strength of a stock or indices over multiple...

We introduce a new method of optimising the accuracy and time taken to calculate risk for a complex trading book, focusing on the use case of XVA. We dynamically choose the number of paths and time discretisation to target computational effort on calculations that give the most information in...

Pricing financial or real options with arbitrary payoffs in regime-switching models is an important problem in finance. Mathematically, it is to solve, under certain standard assumptions, a general form of optimal stopping problems in regime-switching models. In this article, we reduce an...

Our objective is to learn the natural curve shapes with the help of Artificial Neural Networks (ANN). Our research aims to improve curve dynamics generated by the parametric models and the PCA. By running the ANN on the dataset of historically observed term structures of forward commodity prices...

We provide a survey of recent results on model calibration by Optimal Transport. We present the general framework and then discuss the calibration of local, and local-stochastic, volatility models to European options, the joint VIX/SPX calibration problem as well as calibration to some...