Archives

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 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 [...]

René Aïd, Luciano Campi, Adrien Nguyen Huu, Nizar Touzi The objective of this paper is to present a model for electricity spot prices and the corresponding forward contracts, which relies on the underlying market of fuels, thus avoiding the electricity non-storability restriction. The structural aspect of our model comes from the fact that the electricity spot prices depend on the dynamics of the electricity demand at the maturity T, and on the random available capacity of each production means. Read more [...]

A. Porchet, N. Touzi, X. Warin Mathematical Methods of Operations research 70(1) pp 47-75 - Juin 2009 Plus d'infos.

P. Vezolle, S.Vialle, X.Warin Large-Scale Parallel Processing 2009 Mai 2009 Plus d'infos.

René Aïd, Gilles Chemla, Arnaud Porchet, Nizar Touzi This paper analyzes the interactions between vertical integration and (wholesale) spot, forward and retail markets in risk management. We develop an equilibrium model that fits electricity markets well. We point out that vertical integration and forward hedging are two separate levers for demand and spot price risk diversification. We show that they are imperfect substitutes as to their impact on retail prices and agents’ utility because the Read more [...]

C. Chaton, A. Creti, B. Villeneuve Resource & Energy Economics 31(1), pp 24-38 - Janvier 2009 Plus d'infos.

I. Ekeland, A. Galichon, M. Henry Economic Theory 42(2) pp. 355-374 - Janvier 2009 Plus d'infos.

Alexandre Klein, Julian Bouchard, Sabine Goutier In this paper, we deal with generation capacity expansion under long-term uncertainties regarding fuel prices and CO2 emissions regulation. We present a model based on stochastic dynamic programming which gives optimal generation investment planning for perfectly competitive power markets. It is applied to the US continuous electricity market with DOE's fuel price scenarios. We show that taking into account uncertainties on fuel costs and on CO2 emissions Read more [...]