Transform Analysis and Asset Pricing for Affine Jump-Diffusions
43 Pages Posted: 3 Apr 1999
Date Written: March 25, 1999
In the setting of "affine" jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example applications include fixed-income pricing models, with a role for intensity-based models of default, as well as a wide range of option-pricing applications. An illustrative example examines the implications of stochastic volatility and jumps for option valuation. This example hightlights the impact on option 'smirks' of the joint distribution of jumps in volatility and jumps in the underlying asset price, through both jump amplitude as well as jump timing.
JEL Classification: C10, G13
Suggested Citation: Suggested Citation