Category Rapports

Juil
2018

Estimating fast mean-reverting jumps in electricity Market models - Thomas Deschatre, Olivier Féron, and Marc Hoffmann

Based on empirical evidence of fast mean-reverting spikes, we model electricity price processes as the sum of a continuous Itö semimartingale and a a mean-reverting compound Poisson process. In a first part, ...

Juin
2018

Fast and stable multivariate kernel density estimation by fast sum updating - N. Langrené, X. Warin

Kernel density estimation and kernel regression are powerful but computationally expensive techniques: a direct evaluation of kernel density estimates at M evaluation points given N input sample points requires a ...

Juin
2018

Monte Carlo for high-dimensional degenerated Semi Linear and Full Non Linear PDEs - Xavier Warin

We extend a recently developed method to solve semi-linear PDEs to the case of a degenerated diffusion. Being a pure Monte Carlo method it does not su er from the so ...

Juin
2018

Option valuation and hedging using asymmetric risk function: asymptotic optimality through fully nonlinear Partial Differential Equations - Emmanuel Gobet, Isaque Pimentel and Xavier Warin

Discrete time hedging produces a residual risk, namely, the tracking error. The major problem is to get valuation/hedging policies minimizing this error. We evaluate the risk between trading dates through ...

Mai
2018

Nesting Monte Carlo for high-dimensional Non Linear PDEs - Xavier Warin

A new method based on nesting Monte Carlo is developed to solve highdimensional semi-linear PDEs. Convergence of the method is proved and its convergence rate studied. Results in high dimension ...

Nov
2017

Assessing the implementation of the Market Stability Reserve

Corinne Chaton, Anna Creti, and Maria-Eugenia Sanin, Abstract In October 2015 the European Parliament has established a market stability reserve (MSR) in the Phase 4 of the EU-ETS, as part ...

Juin
2017

An Adverse Selection Approach to Power Tarification

Clémence Alasseur, Ivar Ekeland, Romuald Élie, Nicolás Hernández Santibáñez and Dylan Possamaï We study the optimal design of electricity contracts among a population of consumers with different needs. This question is ...

Mar
2017

Capacity Expansion Games with Application to Competition in Power Generation Investments

R. Aid, L. Li, M. Ludkovski, We consider competitive capacity investment for a duopoly of two distinct producers. The producers are exposed to stochastically uctuating costs and interact through aggregate ...

Fév
2017

The financialization of the term structure of risk premia in commodity markets

Edouard Jaeck In this paper, I examine how financialization affects the term structure of risk premia by using an equilibrium model for commodity futures markets. I define financialization as the ...

Jan
2017

Unbiased Monte Carlo estimate of stochastic differential equations expectations

Mahamadou Doumbia, Nadia Oudjane,  Xavier Warin  We propose an unbiased Monte Carlo method to compute E(g(XT ))  where g is a Lipschitz function and X an Ito process. This ...

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