Optimal consumption-investment under partial information in conditionally log-Gaussian models
DOI10.3934/puqr.2023005OpenAlexW4327790569MaRDI QIDQ2699282
Publication date: 26 April 2023
Published in: Probability, Uncertainty and Quantitative Risk (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/puqr.2023005
Feynman-Kac formulaHJB equationsforward-backward equationsoptimal consumption-investment problemconditionally log-Gaussian models
Dynamic programming in optimal control and differential games (49L20) Optimal stochastic control (93E20) Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Cites Work
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- Optimum consumption and portfolio rules in a continuous-time model
- Optimal investment and consumption under partial information
- Forward-backward systems for expected utility maximization
- Adapted solution of a backward stochastic differential equation
- Exponential utility maximization under partial information
- Optimal investment under partial information
- Optimal consumption and investment under partial information
- Optimal consumption and portfolio policies when asset prices follow a diffusion process
- A minimum principle for stochastic control problems with output feedback
- Risk-sensitive dynamic asset management
- Conjugate convex functions in optimal stochastic control
- An optimal consumption model with stochastic volatility
- Optimizing the terminal wealth under partial information: the drift process as a continuous time Markov chain
- Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I: The case of bounded stochastic evolutions
- Risk-sensitive control and an optimal investment model. II.
- Risk-sensitive dynamic portfolio optimization with partial information on infinite time horizon.
- Backward stochastic differential equations and partial differential equations with quadratic growth.
- Utility maximization with partial information
- H-J-B equations of optimal consumption-investment and verification theorems
- Backward stochastic differential equations and applications to optimal control
- BSDE with quadratic growth and unbounded terminal value
- The tradeoff between consumption and investment in incomplete financial markets
- Risk-Sensitive Control and an Optimal Investment Model
- On the Hamilton--Jacobi--Bellman Equation for an Optimal Consumption Problem: I. Existence of Solution
- On the Hamilton--Jacobi--Bellman Equation for an Optimal Consumption Problem: II. Verification Theorem
- Nonlinear semigroup arising in the control of diffusions with partial observation
- Risk-sensitive benchmarked asset management
- Utility Maximization with Habit Formation: Dynamic Programming and Stochastic PDEs
- Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions
- Optimal Portfolio and Consumption Decisions for a “Small Investor” on a Finite Horizon
- Stochastic Hamilton–Jacobi–Bellman Equations
- Linear Quadratic Optimal Stochastic Control with Random Coefficients
- The Maximum Principle for Partially Observed Optimal Control of Stochastic Differential Equations
- Optimal Strategies for Risk-Sensitive Portfolio Optimization Problems for General Factor Models
- General Linear Quadratic Optimal Stochastic Control Problems with Random Coefficients: Linear Stochastic Hamilton Systems and Backward Stochastic Riccati Equations
- An Application of Stochastic Control Theory to Financial Economics
- Risk-sensitive portfolio optimization on infinite time horizon
- An optimal consumption and investment problem with partial information
- Necessary Conditions for Continuous Parameter Stochastic Optimization Problems
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