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Semi-Closed Form Cubature and Applications to Financial Diffusion Models
Semi-Closed Cubature Applications Financial Diffusion Models
2010/10/21
Cubature methods, a powerful alternative to Monte Carlo due to Kusuoka~[Adv.~Math.~Econ.~6, 69--83, 2004] and Lyons--Victoir~[Proc.~R.~Soc.\\Lond.~Ser.~A 460, 169--198, 2004], involve the solution to...
Explicit solutions for the exit problem for a class of Lévy processes. Applications to the pricing of double barrier options
Explicit solutions exit problem Lévy processes
2010/4/27
Lewis and Mordecki have computed the Wiener-Hopf factorization of a L\'evy process whose restriction on $]0,+\infty[$ of their L\'evy measure has a rational Laplace transform. That allows to compute t...
Financial Applications of Random Matrix Theory: a short review
Financial Applications Random Matrix Theory short review
2010/11/2
The Marˇcenko-Pastur 1967 paper [1] on the spectrum of empirical correlation matrices is both remarkable and precocious. It turned out to be useful in many, very different contexts (neural networks, i...