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Density Approximations for Multivariate Affine Jump-Diffusion Processes
Affine Processes Asymptotic Expansion Density Approximation
2011/7/25
Abstract: We introduce closed-form transition density expansions for multivariate affine jump-diffusion processes. The expansions rely on a general approximation theory which we develop in weighted Hi...
Solvable Nonlinear Volatility Diffusion Models with Affine Drift
Solvable Nonlinear Volatility Diffusion Models Affine Drift
2010/11/1
We present a method for constructing new families of solvable one-dimensional di usions with linear drift and nonlinear di usion coecient functions, whose tran-sition densities are obtainable in anal...
Affine processes on positive semidefinite matrices
affine processes Wishart processes stochastic volatility stochastic invariance
2010/11/2
The article provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices. This analysis has been motivated by a large and...
Abstract. Bernstein processes are Brownian diffusions that appear in Euclidean Quantum Mechanics. The consideration of the symmetries of the associated Hamilton-Jacobi-Bellman equation allows one to o...