Category Reports

Dec
2009

Variance Optimal Hedging for Continuous Time Processes with Independent Increments and Applications

Stéphane Goutte, Nadia Oudjane, Francesco Russo For a large class of vanilla contingent claims, we establish an explicit Föllmer-Schweizer decomposition when the underlying is a process with independent increments (PII) ...

Dec
2009

Structure and Estimation of a Class of Nonstationary Yet Nonexplosive GARCH Models

Nazim Regnard, Jean-Michel Zakoïan  This paper considers GARCH(1,1) models in which the time-varying coefficients are functions of the realizations of an exogenous stochastic process. Time series generated by this model ...

Dec
2009

Environmental Policies in an Electricity Sector: Test on the French Electricity Sector

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 ...

Dec
2009

A Conditionally Heteroskedastic Model with Time-Varying Coefficients for Daily Gas Spot Prices

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 ...

Nov
2009

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 ...

Nov
2009

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 ...

Nov
2009

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 ...

Oct
2009

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 ...

Sep
2009

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 ...

Jun
2009

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 ...

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