Transform Analysis and Asset Pricing for Affine Jump-diffusions
Article first published online: 10 DEC 2003
Econometric Society 2000
Volume 68, Issue 6, pages 1343–1376, November 2000
How to Cite
Duffie, D., Pan, J. and Singleton, K. (2000), Transform Analysis and Asset Pricing for Affine Jump-diffusions. Econometrica, 68: 1343–1376. doi: 10.1111/1468-0262.00164
- Issue published online: 10 DEC 2003
- Article first published online: 10 DEC 2003
- Affine jump diffusions;
- option pricing;
- stochastic volatility;
- Fourier transform.
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 of jumps in volatility and jumps in the underlying asset price, through both jump amplitude as well as jump timing.