Optimal Investment and Consumption with Return Predictability and Execution Costs

2018 ◽  
Author(s):  
Guiyuan Ma ◽  
Chi Chung Siu ◽  
Song-Ping Zhu
Keyword(s):  
Optimal Investment ◽  
Return Predictability ◽  
Execution Costs ◽  
Optimal Investment And Consumption

scholarly journals Optimal Investment-Consumption Strategy under Inflation in a Markovian Regime-Switching Market

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Huiling Wu
Keyword(s):  
Regime Switching ◽  
Stock Price ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Power Utility ◽  
Optimal Investment Strategy ◽  
Admissible Strategies ◽  
Definition Of ◽  
Markovian Regime Switching ◽  
Optimal Investment And Consumption

This paper studies an investment-consumption problem under inflation. The consumption price level, the prices of the available assets, and the coefficient of the power utility are assumed to be sensitive to the states of underlying economy modulated by a continuous-time Markovian chain. The definition of admissible strategies and the verification theory corresponding to this stochastic control problem are presented. The analytical expression of the optimal investment strategy is derived. The existence, boundedness, and feasibility of the optimal consumption are proven. Finally, we analyze in detail by mathematical and numerical analysis how the risk aversion, the correlation coefficient between the inflation and the stock price, the inflation parameters, and the coefficient of utility affect the optimal investment and consumption strategy.

scholarly journals Optimal Investment and Consumption for Multidimensional Spread Financial Markets with Logarithmic Utility

Stats ◽  
2021 ◽  
Vol 4 (4) ◽  
pp. 1012-1026
Author(s):  
Sahar Albosaily ◽  
Serguei Pergamenchtchikov
Keyword(s):  
Financial Markets ◽  
Numerical Simulations ◽  
Financial Market ◽  
Optimal Investment ◽  
Optimal Consumption ◽  
Dynamical Programming ◽  
Verification Theorem ◽  
Logarithmic Utility ◽  
Hamilton Jacobi Bellman ◽  
Optimal Investment And Consumption

We consider a spread financial market defined by the multidimensional Ornstein–Uhlenbeck (OU) process. We study the optimal consumption/investment problem for logarithmic utility functions using a stochastic dynamical programming method. We show a special verification theorem for this case. We find the solution to the Hamilton–Jacobi–Bellman (HJB) equation in explicit form and as a consequence we construct optimal financial strategies. Moreover, we study the constructed strategies with numerical simulations.

scholarly journals Legendre Transform-Dual Solution for a Class of Investment and Consumption Problems with HARA Utility

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hao Chang ◽  
Xi-min Rong
Keyword(s):  
Absolute Risk ◽  
Optimal Investment ◽  
Dynamic Programming Principle ◽  
Legendre Transform ◽  
Power Utility ◽  
Transform Method ◽  
Intermediate Consumption ◽  
Special Cases ◽  
Hara Utility ◽  
Optimal Investment And Consumption

This paper provides a Legendre transform method to deal with a class of investment and consumption problems, whose objective function is to maximize the expected discount utility of intermediate consumption and terminal wealth in the finite horizon. Assume that risk preference of the investor is described by hyperbolic absolute risk aversion (HARA) utility function, which includes power utility, exponential utility, and logarithm utility as special cases. The optimal investment and consumption strategy for HARA utility is explicitly obtained by applying dynamic programming principle and Legendre transform technique. Some special cases are also discussed.

Optimal Investment and Consumption with Default Risk: HARA Utility

2013 ◽  
Vol 20 (3) ◽  
pp. 261-281 ◽  
Author(s):  
Lijun Bo ◽  
Xindan Li ◽  
Yongjin Wang ◽  
Xuewei Yang
Keyword(s):  
Default Risk ◽  
Optimal Investment ◽  
Hara Utility ◽  
Optimal Investment And Consumption

OPTIMAL TRADING STRATEGY WITH PARTIAL INFORMATION AND THE VALUE OF INFORMATION: THE SIMPLIFIED AND GENERALIZED MODELS

2001 ◽  
Vol 04 (05) ◽  
pp. 759-772 ◽  
Author(s):  
ZHAOJUN YANG ◽  
CHAOQUN MA
Keyword(s):  
Value Of Information ◽  
Optimization Problem ◽  
Partial Information ◽  
Optimal Investment ◽  
General Situation ◽  
Martingale Method ◽  
Optimal Trading ◽  
Security Price ◽  
The Interest Rate ◽  
Optimal Investment And Consumption

In this paper we deal with the optimization problem of maximizing the expected total utility from consumption under the case of partial information. By means of the martingale method and filter theory, we have acquired an explicit solution to optimal investment and consumption determined by the security prices for a special security price process. Furthermore, we establish a simple formula for valuing information, provided that the utility function is logarithmic. In the end, we extend most of the conclusions to a general situation where both the interest rate and dispersion coefficient of risk security follow some stochastic processes.

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