Asset pricing and consumption-portfolio choice with recursive utility and unspanned risk : [version 1 june 2014]

  • We study consumption-portfolio and asset pricing frameworks with recursive preferences and unspanned risk. We show that in both cases, portfolio choice and asset pricing, the value function of the investor/representative agent can be characterized by a specific semilinear partial differential equation. To date, the solution to this equation has mostly been approximated by Campbell-Shiller techniques, without addressing general issues of existence and uniqueness. We develop a novel approach that rigorously constructs the solution by a fixed point argument. We prove that under regularity conditions a solution exists and establish a fast and accurate numerical method to solve consumption-portfolio and asset pricing problems with recursive preferences and unspanned risk. Our setting is not restricted to affine asset price dynamics. Numerical examples illustrate our approach.

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Author:Holger KraftGND, Thomas Seiferling, Frank Thomas Seifried
Parent Title (German):SAFE working paper series ; No. 52
Series (Serial Number):SAFE working paper (52)
Place of publication:Frankfurt am Main
Document Type:Working Paper
Year of Completion:2014
Year of first Publication:2014
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2014/06/17
Tag:FBSDE; asset pricing; consumption-portfolio choice; fixed point approach; incomplete markets; stochastic differential utility
Issue:vers. June 1, 2014
Page Number:51
Date: first version: March 6, 2014; this version: June 1, 2014.
Institutes:Wirtschaftswissenschaften / Wirtschaftswissenschaften
Wissenschaftliche Zentren und koordinierte Programme / House of Finance (HoF)
Wissenschaftliche Zentren und koordinierte Programme / Center for Financial Studies (CFS)
Wissenschaftliche Zentren und koordinierte Programme / Sustainable Architecture for Finance in Europe (SAFE)
Dewey Decimal Classification:3 Sozialwissenschaften / 33 Wirtschaft / 330 Wirtschaft
Licence (German):License LogoDeutsches Urheberrecht