scholarly journals OPTIMAL INVESTMENT WITH INTERMEDIATE CONSUMPTION AND RANDOM ENDOWMENT

2014 ◽  
Vol 27 (1) ◽  
pp. 96-114 ◽  
Author(s):  
Oleksii Mostovyi
2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hao Chang ◽  
Xi-min Rong

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.


2017 ◽  
Vol 54 (3) ◽  
pp. 710-719 ◽  
Author(s):  
Huy N. Chau ◽  
Andrea Cosso ◽  
Claudio Fontana ◽  
Oleksii Mostovyi

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.


Stochastics ◽  
2017 ◽  
Vol 89 (6-7) ◽  
pp. 1082-1103 ◽  
Author(s):  
Lingqi Gu ◽  
Yiqing Lin ◽  
Junjian Yang

1991 ◽  
Vol 8 (1) ◽  
pp. 109-127
Author(s):  
Zaidi Sattar

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 ...


Sign in / Sign up

Export Citation Format

Share Document