NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

Generalized Transform Analysis of Affine Processes and Applications in Finance

Hui Chen, Scott Joslin

NBER Working Paper No. 16906
Issued in March 2011
NBER Program(s):   AP

Nonlinearity is an important consideration in many problems of finance and economics, such as pricing securities, computing equilibrium, and conducting structural estimations. We extend the transform analysis in Duffie, Pan, and Singleton (2000) by providing analytical treatment of a general class of nonlinear transforms for processes with tractable conditional characteristic functions. We illustrate the applications of the generalized transform method in pricing contingent claims and solving general equilibrium models with preference shocks, heterogeneous agents, or multiple goods. We also apply the method to a model of time-varying labor income risk and study the implications of stochastic covariance between labor income and dividends for the dynamics of the risk premiums on financial wealth and human capital.

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Document Object Identifier (DOI): 10.3386/w16906

Published: Hui Chen & Scott Joslin, 2012. "Generalized Transform Analysis of Affine Processes and Applications in Finance," Review of Financial Studies, Society for Financial Studies, vol. 25(7), pages 2225-2256. citation courtesy of

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