The infinite-horizon investment-consumption problem for Epstein-Zin stochastic differential utility. I: Foundations
From MaRDI portal
Publication:2111245
DOI10.1007/s00780-022-00495-6zbMath1502.91054OpenAlexW4313288202MaRDI QIDQ2111245
Joseph W. Jerome, David G. Hobson, Martin Herdegen
Publication date: 28 December 2022
Published in: Finance and Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00780-022-00495-6
backward stochastic differential equationsdiscounted aggregatorEpstein-Zin stochastic differential utilitylifetime investment and consumption
Utility theory (91B16) Applications of stochastic analysis (to PDEs, etc.) (60H30) Portfolio theory (91G10)
Related Items (2)
The infinite-horizon investment-consumption problem for Epstein-Zin stochastic differential utility. I: Foundations ⋮ The infinite-horizon investment-consumption problem for Epstein-Zin stochastic differential utility. II: Existence, uniqueness and verification for \(\vartheta \in (0,1)\)
Cites Work
- Stochastic differential utility as the continuous-time limit of recursive utility
- Consumption-investment optimization with Epstein-Zin utility in incomplete markets
- Rational equilibrium asset-pricing bubbles in continuous trading models
- Efficient intertemporal allocations with recursive utility.
- PDE solutions of stochastic differential utility
- Optimal consumption and portfolio selection with stochastic differential utility
- Sensitivity of optimal consumption streams
- The infinite-horizon investment-consumption problem for Epstein-Zin stochastic differential utility. I: Foundations
- The infinite-horizon investment-consumption problem for Epstein-Zin stochastic differential utility. II: Existence, uniqueness and verification for \(\vartheta \in (0,1)\)
- Local martingales, bubbles and option prices
- A Mathematical Theory of Financial Bubbles
- Stochastic Differential Utility
- Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework
- Convex duality for Epstein–Zin stochastic differential utility
- Lifetime investment and consumption with recursive preferences and small transaction costs
- An elementary approach to the Merton problem
This page was built for publication: The infinite-horizon investment-consumption problem for Epstein-Zin stochastic differential utility. I: Foundations