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Generalized Transform Analysis of Affine Processes and Applications in Finance

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  • Hui Chen
  • Scott Joslin
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Abstract

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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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 16906.

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Date of creation: Mar 2011
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Publication status: published as 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.
Handle: RePEc:nbr:nberwo:16906

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Cited by:
  1. Jean-David Fermanian, 2013. "The Limits of Granularity Adjustments," Working Papers 2013-27, Centre de Recherche en Economie et Statistique.
  2. Matyas Barczy & Leif Doering & Zenghu Li & Gyula Pap, 2013. "Parameter estimation for a subcritical affine two factor model," Papers 1302.3451, arXiv.org, revised Apr 2014.
  3. Filipović, Damir & Mayerhofer, Eberhard & Schneider, Paul, 2013. "Density approximations for multivariate affine jump-diffusion processes," Journal of Econometrics, Elsevier, vol. 176(2), pages 93-111.
  4. Roussanov, Nikolai, 2014. "Composition of wealth, conditioning information, and the cross-section of stock returns," Journal of Financial Economics, Elsevier, vol. 111(2), pages 352-380.
  5. Buss, Adrian & Uppal, Raman & Vilkov, Grigory, 2014. "Asset prices in general equilibrium with recursive utility and illiquidity induced by transactions costs," SAFE Working Paper Series 41, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
  6. Matyas Barczy & Leif Doering & Zenghu Li & Gyula Pap, 2013. "Stationarity and ergodicity for an affine two factor model," Papers 1302.2534, arXiv.org, revised Sep 2013.
  7. Matyas Barczy & Leif Doering & Zenghu Li & Gyula Pap, 2012. "On parameter estimation for critical affine processes," Papers 1210.1866, arXiv.org, revised Mar 2013.
  8. Matyas Barczy & Gyula Pap, 2013. "Maximum likelihood estimation for Heston models," Papers 1310.4783, arXiv.org.
  9. Ovidiu Costin & Michael B. Gordy & Min Huang & Pawel J. Szerszen, 2013. "Expectations of functions of stochastic time with application to credit risk modeling," Finance and Economics Discussion Series 2013-14, Board of Governors of the Federal Reserve System (U.S.).
  10. Satoshi Yamashita & Toshinao Yoshiba, 2010. "Analytical Solution for Expected Loss of a Collateralized Loan: A Square-root Intensity Process Negatively Correlated with Collateral Value," IMES Discussion Paper Series 10-E-10, Institute for Monetary and Economic Studies, Bank of Japan.
  11. Georgy Chabakauri, 2012. "Asset Pricing with Heterogeneous Investors and Portfolio Constraints," FMG Discussion Papers dp707, Financial Markets Group.
  12. Ian Martin, 2011. "The Lucas Orchard," NBER Working Papers 17563, National Bureau of Economic Research, Inc.

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