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20122022
most citedOn the Optimal Stopping of a One-dimensional Diffusion

38 citations

Showing 2013Show all

7 papers · 1 filter

math.PR2013★ 6 cited

On the distance between probability density functions

Vlad Bally, Lucia Caramellino

We give estimates of the distance between the densities of the laws of two functionals and on the Wiener space in terms of the Malliavin-Sobolev norm of We actually…

math.PR2013

On the long time behavior of stochastic vortices systems

Joaquin Fontbona, Benjamin Jourdain

In this paper, we are interested in the long-time behaviour of stochastic systems of n interacting vortices: the position in R2 of each vortex evolves according to a Brownian motio…

q-fin.CP2013★ 18 cited

A hybrid approach for the implementation of the Heston model

Maya Briani, Lucia Caramellino, Antonino Zanette

We propose a hybrid tree-finite difference method in order to approximate the Heston model. We prove the convergence by embedding the procedure in a bivariate Markov chain and we s…

math.PR2013★ 15 cited

The small noise limit of order-based diffusion processes

Benjamin Jourdain, Julien Reygner

We introduce order-based diffusion processes as the solutions to multidimensional stochastic differential equations, with drift coefficient depending only on the ordering of the co…

q-fin.CP2013★ 4 cited

A robust tree method for pricing American options with CIR stochastic interest rate

Elisa Appolloni, Lucia Caramellino, Antonino Zanette

We propose a robust and stable lattice method which permits to obtain very accurate American option prices in presence of CIR stochastic interest rate without any numerical restric…

math.PR2013

Reducing the debt : is it optimal to outsource an investment?

Gilles Edouard Espinosa, Caroline Hillairet, Benjamin Jourdain +1

We deal with the problem of outsourcing the debt for a big investment, according two situations: either the firm outsources both the investment (and the associated debt) and the ex…

q-fin.PM2013★ 1 cited

Dynamic robust duality in utility maximization

Bernt Øksendal, Agnès Sulem

A celebrated financial application of convex duality theory gives an explicit relation between the following two quantities: (i) The optimal terminal wealth …