Archives

1
Nov

Optimal features of gas transmission trunklines

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

1
Nov

Convenience yield and commodity markets

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

1
Nov

A Structural Risk Neutral Model of Electricity Prices

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.

1
Nov

An Arbitrage-Free Interest Rate Model Consistent with Economic Constraints for Long-Term Asset Liability Management

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 …

1
Nov

A Probabilistic Numerical Method for Fully Nonlinear Parabolic PDEs

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 …

1
Nov

Comonotonic Measures of Multivariate Risks

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 …

1
Oct

Market Design for Emission Trading Schemes

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 …

1
Sep

L2 Density Estimation Under Constraints

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 …

1
Juin

A Structural Risk-Neutral Model of Electricity Prices

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 …

1
Juin

Valuation of a powerplant under production constraints and markets incompleteness

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

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