scholarly journals OPTIMAL INVESTMENT WITH INTERMEDIATE CONSUMPTION AND RANDOM ENDOWMENT

2014 ◽  
Vol 27 (1) ◽  
pp. 96-114 ◽  
Author(s):  
Oleksii Mostovyi
Keyword(s):  
Optimal Investment ◽  
Intermediate Consumption ◽  
Random Endowment

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.

scholarly journals Optimal investment with intermediate consumption under no unbounded profit with bounded risk

2017 ◽  
Vol 54 (3) ◽  
pp. 710-719 ◽  
Author(s):  
Huy N. Chau ◽  
Andrea Cosso ◽  
Claudio Fontana ◽  
Oleksii Mostovyi
Keyword(s):  
Utility Maximization ◽  
Optimal Investment ◽  
Incomplete Market ◽  
Value Functions ◽  
Stochastic Field ◽  
Intermediate Consumption ◽  
Bounded Risk ◽  
Primal And Dual

Abstract We consider the problem of optimal investment with intermediate consumption in a general semimartingale model of an incomplete market, with preferences being represented by a utility stochastic field. We show that the key conclusions of the utility maximization theory hold under the assumptions of no unbounded profit with bounded risk and of the finiteness of both primal and dual value functions.

scholarly journals On the existence of shadow prices for optimal investment with random endowment

Stochastics ◽  
2017 ◽  
Vol 89 (6-7) ◽  
pp. 1082-1103 ◽  
Author(s):  
Lingqi Gu ◽  
Yiqing Lin ◽  
Junjian Yang
Keyword(s):  
Optimal Investment ◽  
Shadow Prices ◽  
Random Endowment

A Dynamic Investment Model with Profit-Sharing in an Interest-Free Economy

1991 ◽  
Vol 8 (1) ◽  
pp. 109-127
Author(s):  
Zaidi Sattar
Keyword(s):  
Optimal Investment ◽  
Integrated Approach ◽  
Building Blocks ◽  
Profit Sharing ◽  
Comparative Statics ◽  
Investment Model ◽  
Financial Contracts ◽  
Endogenous Variables ◽  
Rate Of Profit ◽  
Component Models

The present paper is a contribution to the building blocks of an investmentmodel within the framework of an integrated macroeconomic model of anIslamic economy. Investment behavior in the model is guided by an Islamicethicalvalue system and profit-sharing financial contracts. The typical firm’sinvestment decision is believed to emerge from a dynamic inter-temporalmaximization exercise within an infinite time horizon. The method of Calculusof Variations is applied to arrive at the optimal investment and employmentcriteria for the firm. The result is then incorporated into a macroeconomicmodel to study the behavior of key endogenous variables like national incomeand the rate of profit-share. Comparative statics exercised within a generalequilibrium framework reveal the potency of monetary policy but the neutralityof fiscal policy with respect to output and employment.IntroductionThe past decade has witnessed a tremendous outpouring of interest aswell as effort in the formalization of economic models based on profit-sharingfinancial arrangements as an Islamic alternative to the conventional interestbasedeconomic system. Several macroeconomic models for interest-freeeconomies have been proposed (Anwar 1987; Habibi 1987; Metwally 1981& 1983). The rigor of an integrated approach to such macroeconomic modelhgdepends on the rigor of the component models, namely, the consumption,investment, monetary, and fiscal relationships. Economists have writtenextensively on different aspects of consumer behavior in Islamic societies.Kahf (1978) and Khan (1984), among others, have contributed to the conceptualand analytical formulation of the consumption function under ...

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