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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 and solving equilibrium models. This article provides analytical treatment of a general class of nonlinear transforms for processes with tractable conditional characteristic functions. We extend existing results on characteristic function-based transforms to a substantially wider class of nonlinear functions while maintaining low dimensionality by avoiding the need to compute the density function. We illustrate the applications of the generalized transform in pricing defaultable bonds with stochastic recovery. We also use the method to analytically solve a class of general equilibrium models with multiple goods and apply this model to study the effects of time-varying labor income risk on the equity premium. The Author 2012. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com., Oxford University Press.

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Bibliographic Info

Article provided by Society for Financial Studies in its journal The Review of Financial Studies.

Volume (Year): 25 (2012)
Issue (Month): 7 ()
Pages: 2225-2256

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Handle: RePEc:oup:rfinst:v:25:y:2012:i:7:p:2225-2256

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Cited by:
  1. Nikolai Roussanov, 2010. "Composition of Wealth, Conditioning Information, and the Cross-Section of Stock Returns," NBER Working Papers 16073, National Bureau of Economic Research, Inc.
  2. 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.
  3. Georgy Chabakauri, 2012. "Asset Pricing with Heterogeneous Investors and Portfolio Constraints," FMG Discussion Papers, Financial Markets Group dp707, Financial Markets Group.
  4. Jean-David Fermanian, 2013. "The Limits of Granularity Adjustments," Working Papers, Centre de Recherche en Economie et Statistique 2013-27, Centre de Recherche en Economie et Statistique.
  5. Matyas Barczy & Leif Doering & Zenghu Li & Gyula Pap, 2012. "On parameter estimation for critical affine processes," Papers 1210.1866, arXiv.org, revised Mar 2013.
  6. Ian Martin, 2011. "The Lucas Orchard," NBER Working Papers 17563, National Bureau of Economic Research, Inc.
  7. Matyas Barczy & Gyula Pap, 2013. "Asymptotic properties of maximum likelihood estimators for Heston models based on continuous time observations," Papers 1310.4783, arXiv.org, revised Jul 2014.
  8. 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.
  9. Filipović, Damir & Mayerhofer, Eberhard & Schneider, Paul, 2013. "Density approximations for multivariate affine jump-diffusion processes," Journal of Econometrics, Elsevier, Elsevier, vol. 176(2), pages 93-111.
  10. 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, Board of Governors of the Federal Reserve System (U.S.) 2013-14, Board of Governors of the Federal Reserve System (U.S.).
  11. 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.
  12. 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.

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