Transform Analysis and Asset Pricing for Affine Jump-Diffusions

Abstract

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 highlights the impact on option 'smirks' of the joint distribution ofjumps in volatility and jumps in the underlying asset price, through both amplitude as well as jump timing.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 44 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.