Affine Diffusion Processes: Theory and Applications
30 Pages Posted: 22 Feb 2009
Date Written: February 20, 2009
We revisit affine diffusion processes on general and on the canonical state space in particular. A detailed study of theoretic and applied aspects of this class of Markov processes is given. In particular, we derive admissibility conditions and provide a full proof of existence and uniqueness through stochastic invariance of the canonical state space. Existence of exponential moments and the full range of validity of the affine transform formula are established. This is applied to the pricing of bond and stock options, which is illustrated for the Vasicek Cox-Ingersoll-Ross and Heston Models.
Keywords: Affine Diffusion Process, Exponential Moments, affine term structure models, Riccati Differential Equations
JEL Classification: E43
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