Transform Analysis and Asset Pricing for Affine Jump-Diffusions
AbstractIn 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 intensityy-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 amplitude as well as jump timing.
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Bibliographic InfoPaper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 7105.
Date of creation: Apr 1999
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Publication status: published as Duffie, Darrell, Jun Pan and Kenneth Singleton. "Transform Analysis And Asset Pricing For Affine Jump-Diffusions," Econometrica, 2000, v68(6,Nov), 1343-1376.
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- Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, Econometric Society, vol. 68(6), pages 1343-1376, November.
- G1 - Financial Economics - - General Financial Markets
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