Risk Aversion and Portfolio Selection in a Continuous-Time Model
نویسنده
چکیده
The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and deterministic coefficients. It turns out that the indirect utility functions inherit the order of risk aversion (in the Arrow-Pratt sense) from the von Neumann-Morgenstern utility functions, and therefore, a more risk-averse agent would invest less wealth (in absolute value) in the risky assets. JEL classification: G11, D9.
منابع مشابه
A Novel Selection Model of Optimal Portfolio based on Fuzzy Goal Planning, Considering Types of Investors
Assessing risk assets is one of the most important research issues in the financial field. There are various pricing models of capital assets in financial. In many models, it is not possible to consider a lot of restrictions on portfolio selection. In this paper, for choosing optimal portfolios, taking into account the prosperity and recession periods, and the types of investors in terms of ris...
متن کاملOutperformance Testing of a Dynamic Assets Portfolio Selection Supplemented with a Continuous Paths Levy Process
This study aims at getting a better performance for optimal stock portfolios by modeling stocks prices dynamics through a continuous paths Levy process. To this end, the share prices are simulated using a multi-dimensional geometric Brownian motion model. Then, we use the results to form the optimal portfolio by maximizing the Sharpe ratio and comparing the findings with the outputs of the conv...
متن کاملComparison of Portfolio Optimization for Investors at Different Levels of Investors' Risk Aversion in Tehran Stock Exchange with Meta-Heuristic Algorithms
The gaining returns in line with risks is always a major concern for market play-ers. This study compared the selection of stock portfolios based on the strategy of buying and retaining winning stocks and the purchase strategy based on the level of investment risks. In this study, the two-step optimization algorithms NSGA-II and SPEA-II were used to optimize the stock portfolios. In order to de...
متن کاملContinuous time portfolio optimization
This paper presents dynamic portfolio model based on the Merton's optimal investment-consumption model, which combines dynamic synthetic put option using risk-free and risky assets. This paper is extended version of methodological paper published by Yuan Yao (2012). Because of the long history of the development of foreign financial market, with a variety of financial derivatives, the study on ...
متن کاملLifetime Portfolio Selection under Uncertainty: the Continuous-time Case
M OST models of portfolio selection have been one-period models. I examine the combined problem of optimal portfolio selection and consumption rules for an individual in a continuous-time model where his income is generated by returns on assets and these returns or instantaneous "growth rates" are stochastic. P . A. Samuelson has developed a similar model in discrete-time for more general proba...
متن کاملA Fuzzy Goal Programming Model for Efficient Portfolio Selection.
This paper considers a multi-objective portfolio selection problem imposed by gaining of portfolio, divided yield and risk control in an ambiguous investment environment, in which the return and risk are characterized by probabilistic numbers. Based on the theory of possibility, a new multi-objective portfolio optimization model with gaining of portfolio, divided yield and risk control is propo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 49 شماره
صفحات -
تاریخ انتشار 2011