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Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations
Campanato space degenerate-elliptic di erential operator degenerate di usion process Heston stochastic volatility process Holder regularity mathematical nance Schauder a priori estimate Sobolev regularity variational equation weighted Sobolev space.
2012/9/17
We establish higher-order weighted Sobolev and Holder regularity for solutions to variational equations de ned by the elliptic Heston operator, a linear second-order degenerate-elliptic operator aris...
C^{1,1} regularity for degenerate elliptic obstacle problems in mathematical finance
American-style option degenerate elliptic di erential operator degenerate di usion process, free boundary problem Heston stochastic volatility process mathematical nance obstacle problem variational inequality weighted Sobolev space.
2012/9/14
The Heston stochastic volatility process is a degenerate di usion process where the degeneracy in the di usion coecient is proportional to the square root of the distance to the boundary of the half-...
Stochastic finite differences and multilevel Monte Carlo for a class of SPDEs in finance
Stochastic finite differences multilevel Monte Carlo class of SPDEs finance Computational Finance
2012/4/28
In this article, we propose a Milstein finite difference scheme for a stochastic partial differential equation (SPDE) describing a large particle system. We show, by means of Fourier analysis, that th...
Even before the August 2007 credit crunch the interaction between real and financial variables had become a central issue in macroeconomics, particularly to Central Bankers. Different theoretical mode...
Even before the August 2007 credit crunch the interaction between real and financial variables had become a central issue in macroeconomics, particularly to Central Bankers. Different theoretical mode...