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Improved Frechet bounds and model-free pricing of multi-asset options
copulas Frechet-Hoeffding bounds concordance order
2010/10/19
We compute the improved bounds on the copula of a bivariate random vector when partial information is available, such as the values of the copula on the subset of $[0,1]^2$, or the value of a function...
In the LIBOR market model, forward interest rates are log-normal under their respective forward measures. This note shows that their distributions under the other forward measures of the tenor structu...
The framework of this paper is that of uncertainty, that is when no reference probability measure is given. To every convex regular risk measure $\rho$ on ${\cal C}_b(\Omega)$, we associate a canonica...
Laplace transform analysis of a multiplicative asset transfer model
wealth distribution master equation Laplace transform Boltzmann entropy
2010/10/20
We analyze a simple asset transfer model in which the transfer amount is a fixed fraction $f$ of the giver's wealth. The model is analyzed in a new way by Laplace transforming the master equation, sol...
A Fast Mean-Reverting Correction to Heston's Stochastic Volatility Model
Stochastic volatility Heston model fast mean-reversion
2010/10/21
We propose a multi-scale stochastic volatility model in which a fast mean-reverting factor of volatility is built on top of the Heston stochastic volatility model. A singular pertubative expansion is...
The aim of this work is to provide fast and accurate approximation schemes for the Monte-Carlo pricing of derivatives in the L\'evy LIBOR model of Eberlein and \"Ozkan (2005). Standard methods can be...
Risk assessment for uncertain cash flows: Model ambiguity, discounting ambiguity, and the role of bubbles
Risk assessment uncertain cash flows Model ambiguity
2010/10/18
We study the risk assessment of uncertain cash flows in terms of dynamic convex risk measures for processes as introduced in Cheridito, Delbaen, and Kupper (2006). These risk measures take into accou...
We analyze operational risk in terms of a spin glass model. Several regimes are investigated, as a functions of the parameters that characterize the dynamics. The system is found to be robust against...