Author Archives: admin

by Olivier Guéant, Roger Guesnerie & Jean-Michel Lasry This article discusses the discount rate to be used in projects that aimed at preserving the environment. The model has two di§erent goods, one is the usual consumption good whose production may … Continue reading →

by Adrien Nguyen Huu We study the situation of an investor-producer who can trade on a financial market in continuous time and can transform some assets into others by means of a discrete time production system, in order to price … Continue reading →

by Céline Grislain-Letrémy & Bertrand Villeneuve Uncontrolled urbanization in exposed areas increases the cost of natural and industrial disas- ters. In the case of industrial risks, these land use externalities are directly exerted on the firm which is liable for … Continue reading →

by Olivier Guéant, Charles-Albert Lehalle & Joaquin Fernandez Tapia This paper addresses the optimal scheduling of the liquidation of a portfolio using a new angle. Instead of focusing only on the scheduling aspect like Almgren and Chriss in [2], or … Continue reading →

by Olivier Guéant, Charles-Albert Lehalle & Joaquin Fernandez Tapia Market makers have to continuously set bid and ask quotes for the stocks they have under consideration. Hence they face a complex optimization problem in which their return, based on the bid-ask … Continue reading →

by Olivier Guéant This paper presents recent results from Mean Field Game theory underlying the intro- duction of common noise that imposes to incorporate the distribution of the agents as a state variable. Starting from the usual mean field games … Continue reading →

By Ludovic Moreau Stochastic Target Problems with Controlled Loss in Jump Diffusion Models In this paper, we consider a mixed diffusion version of the stochastic target problem introduced in [3]. This consists in finding the minimum initial value of a … Continue reading →

By Aimé Lachapelle & Marie-Therese Wolfram (Cahier de la Chaire n°40) In this paper we present a new class of pedestrian crowd models based on the mean field games theory introduced by Lasry and Lions in 2006. This macroscopic approach … Continue reading →

By Jean-Michel Zakoïan (Cahier de la Chaire n°39) This paper considers Dynamic Conditional Correlations (DCC) GARCH models in which the time-varying coefficients, including the conditional correlation matrix, are functions of the realizations of an exogenous stochastic process. Time series generated … Continue reading →

By René Aïd, Luciano Campi & Nicolas Langrené (Cahier de la Chaire n°38) We develop a structural risk-neutral model for energy market modifying along several directions the approach introduced in [Aïd et al., 2009]. In particular a scarcity function is … Continue reading →

By Delphine Lautier & Franck Raynaud (Cahier de la Chaire n°37) This article presents an empirical study of thirteen derivative markets for commodity and financial assets. This paper goes beyond statistical analysis by including the maturity as a variable for … Continue reading →

By Gilles-Edouard Espinosa & Nizar Touzi (Cahier de la Chaire n°36) Let X be a mean reverting scalar process, X the corresponding running maximum, T0 the first time X hits the level zero and ` a loss function, mainly increasing and … Continue reading →

By Dylan Possamai, H. Mete Soner & Nizar Touzi (Cahier de la Chaire n°35) We consider a financial market with liquidity cost as in Cetin, Jarrow and Protter (2004) where the supply function  depends on a parameter  with  corresponding to … Continue reading →

By H. Mete Soner, Nizar Touzi & Jianfeng Zhang (Cahier de la Chaire n°34) We provide an existence and uniqueness theory for an extension of backward SDEs to the second order. While standard Backward SDEs are naturally connected to semilinear … Continue reading →

By Bruno Bouchard & Nizar Touzi (Cahier de la Chaire n°33) We prove a weak version of the dynamic programming principle for standard stochastic control problems and mixed control-stopping problems, which avoids the technical difficulties related to the measurable selection argument. In … Continue reading →

By Arash Fahim, Nizar Touzi & Xavier Warin (Cahier de la Chaire n°32) We consider the probabilistic numerical scheme for fully nonlinear PDEs suggested in Cheridito et al (2007), and show that it can be introduced naturally as a combination of … Continue reading →