Arbeitspapier

Optimal consumption and investment with Epstein-Zin recursive utility

We study continuous-time optimal consumption and investment with Epstein-Zin recursive preferences in incomplete markets. We develop a novel approach that rigorously constructs the solution of the associated Hamilton-Jacobi-Bellman equation by a fixed point argument and makes it possible to compute both indirect utility and, more importantly, optimal strategies. Based on these results, we also establish a fast and accurate method for numerical computations. Our setting is not restricted to affine asset price dynamics; we only require boundedness of the underlying model coefficients.

Sprache
Englisch

Erschienen in
Series: SAFE Working Paper ; No. 52

Klassifikation
Wirtschaft
Portfolio Choice; Investment Decisions
Asset Pricing; Trading Volume; Bond Interest Rates
Incomplete Markets
Micro-Based Behavioral Economics: Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making‡
Optimization Techniques; Programming Models; Dynamic Analysis
Computable General Equilibrium Models
Thema
consumption-portfolio choice
asset pricing
stochastic di erential utility
incomplete markets
fixed point approach
FBSDE

Ereignis
Geistige Schöpfung
(wer)
Kraft, Holger
Seiferling, Thomas
Seifried, Frank Thomas
Ereignis
Veröffentlichung
(wer)
Goethe University Frankfurt, SAFE - Sustainable Architecture for Finance in Europe
(wo)
Frankfurt a. M.
(wann)
2016

DOI
doi:10.2139/ssrn.2444747
Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Kraft, Holger
  • Seiferling, Thomas
  • Seifried, Frank Thomas
  • Goethe University Frankfurt, SAFE - Sustainable Architecture for Finance in Europe

Entstanden

  • 2016

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