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Corinne Chaton Marie-Laure Guillerminet Feed-in Tariffs promoting renewable energy sources and quotas of CO2 emissions have been implemented jointly in France to reduce CO2 emissions. We develop on GAMS a supply-demand model applied to the electricity sector. Demand is uncertain and is characterized by load curves. We find that if both policies reduce emissions, feed-in tariffs involve a substantial extra-cost without significant gain for sure in terms of emissions. Read more [...]

Nazim Regnard, Jean-Michel Zakoïan  A novel GARCH(1,1) model, with coecients function of the realizations of an exogenous process, is considered for the volatility of daily gas prices. A distinctive feature of the model is that it produces non-stationary solutions. The probability properties, and the convergence and asymptotic normality of the Quasi-Maximum Likelihood Estimator (QMLE) have been derived by Regnard and Zakoian (2009). The prediction properties of the model are considered. We derive Read more [...]

J. André, J.F. Bonnans Optimization and Engineering 12(1-2), pp 175-198 - Novembre 2009 Plus d'infos.

D. Lautier Bankers, Markets & Investors 102, pp 59-66 - Novembre 2009 Plus d'infos.

R. Aïd, L. Campi, A. Nguyen Huu, N. Touzi International Journal of Theoretical and Applied Finance 2(7) pp 925-947 - Novembre 2009 Plus d'infos.

Ivar Ekeland, Alfred Galichon, Marc Henri We propose a multivariate extension of a well-known characterization by S. Kusuoka of regular and coherent risk measures as maximal correlation functionals. This involves an extension of the notion of comonotonicity to random vectors through generalized quantile functions. Moreover, we propose to replace the current law invari- ance, subadditivity and comonotonicity axioms by an equivalent property we call strong coherence and that we argue has more natural Read more [...]

René Aïd, Olivier Féron, Nizar Touzi, Christine Vialas This paper proposes an Heath-Jarrow-Morton model of the yield curve that can fit the particular requirements of long-term asset and liability management (ALM). In particular, the proposed HJM model can reproduce expected long-term statistical properties of any two interest rates, while still satisfying the no-arbitrage constraints. We describe the methodology to calibrate the model in this particular constrainted setting, i.e. to find the Read more [...]

Arash Fahim, Nizar Touzi, Xavier Warin We consider the probabilistic numerical scheme for fully nonlinear PDEs suggested in [10], and show that it can be introduced naturally as a combination of Monte Carlo and finite differences scheme without appealing to the theory of backward stochastic differential equations. Our first main result provides the convergence of the discrete-time approximation and derives a bound on the discretization error in terms of the time step. An explicit implementable scheme Read more [...]

René Carmona, Max Fehr, Juri Hinz, Arnaud Porchet This paper is concerned with the mathematical analysis of emissions markets. We review the existing quantitative analyses on the subject and introduce some of the mathematical challenges posed by the implementation of the new phase of the European Union Emissions Trading Scheme as well as the cap-and-trade schemes touted by the US, Canada, Australia and Japan. From a practical point of view, the main thrust of the paper is the design and numerical Read more [...]

Christian Musso, Nadia Oudjane This paper presents a general methodology to estimate a probability density under linear constraints (on the support, bounded moments or quantiles,. . . ). The proposed approximation is the projection of the free density estimation on the set of the probability densities satisfying the constraints. In some cases, the solution of this projection problem can be expressed in a simple parametric form as a function of the free density estimate. Plus d'infos. Read more [...]