It was upon a time, the Risk Neutral "pricing" world. Under this world every payoff actualised was a martingale. The industry became more and more complex but still managed to provide prices for exotics, indeed via a Monte Carlo Method almost everything was possible under this measure. After...

After Lehman default (credit crisis which started in 2007), practitioners considered the default risk as a major risk. The Industry began to charge for the default risk of any derivatives. In this article we defined a methodology in order to fully adjusted the close out premium used to compute...

We propose a new model for the pricing of wind power futures written on the wind power production index. Our approach is based on an arithmetic multi-factor pure-jump Ornstein-Uhlenbeck setup with time-dependent coefficients. We express the wind power production index and the corresponding...

We identify the three types of risks involved in an art-secured lending operation and present a framework to assess their combined effects via a Monte Carlo simulation. Also, we derive some useful closed-form expressions that are suitable when the collateral consists of only one painting. To...

We introduce a theoretical model of executives with insider information who receive executive stock options (ESOs) as incentives and optimize their “outside wealth” portfolios. We show that insider information nullifies ESO incentivizing, misaligning executives' and shareholders' interests....

We analyze the guarantees that art-auction houses offer from an options viewpoint. This approach allows us to derive analytical expressions to value the positions involved in such arrangements. We further validate these formulas with a Monte Carlo simulation applied to a realistic example....

We propose a new stochastic volatility model for pricing options on assets that exhibit seasonal trends in volatility. Such assets are prevalent among commodities, with futures on grains and energy being an example. The model is based on the 3/2 stochastic volatility model, but includes a...

We introduce the class of affine forward variance (AFV) models of which both the conventional Heston model and the rough Heston model are special cases. We show that AFV models can be characterized by the affine form of their cumulant generating function, which can be obtained as solution of a...

This paper proposes a data-driven approach, by means of an Artificial Neural Network (ANN), to value financial options within the setting of interest rate term structure models. This aims to accelerate existing numerical methods which is important for applications like historical VaR or exposure...

Given the inherent complexity of financial markets, a wide area of research in the field of mathematical finance is devoted to develop accurate models for the pricing of contingent claims. Focusing on the stochastic volatility approach (i.e. we assume to describe asset volatility as an...