On asymptotic optimality of Merton's myopic portfolio strategies under time discretization
نویسندگان
چکیده
This paper studies the properties of discrete time stochastic optimal control problems associated with portfolio selection. We investigate if optimal continuous time strategies can be used effectively for a discrete time market after a straightforward discretization. We found that Merton’s strategy approximates the performance of the optimal strategy in a discrete time model with the sufficiently small time steps.
منابع مشابه
Continuous 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 کاملOptimality of quasi myopic strategies for multi-stock discrete time market with exponential utility function
This paper presents a multi-stock discrete time market model. In this model, we consider an optimal solution in the multi-stock portfolio selection. Specially, the model allows that the optimal strategy to maximize an exponent function of the expected value is quasi myopic.
متن کاملMean Variance and Goal Achieving Portfolio for Discrete-time Market with Currently Observable Source of Correlations
The paper studies optimal portfolio selection for discrete time market models in meanvariance and goal achieving setting. The optimal strategies are obtained for models with an observed process that causes serial correlations of price changes. The optimal strategies are found to be myopic for the goal-achieving problem and quasi-myopic for the mean variance portfolio. Mathematics Subject Classi...
متن کاملOptimal Discretization of Hedging Strategies with Directional Views
We consider the hedging error of a derivative due to discrete trading in the presence of a drift in the dynamics of the underlying asset. We suppose that the trader wishes to find rebalancing times for the hedging portfolio which enable him to keep the discretization error small while taking advantage of market trends. Assuming that the portfolio is readjusted at high frequency, we introduce an...
متن کاملAsymptotic analysis of hedging errors in models with jumps
Most authors who studied the problem of option hedging in incomplete markets, and, in particular, in models with jumps, focused on finding the strategies that minimize the residual hedging error. However, the resulting strategies are usually unrealistic because they require a continuously rebalanced portfolio, which is impossible to achieve in practice due to transaction costs. In reality, the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- IMA J. Math. Control & Information
دوره 33 شماره
صفحات -
تاریخ انتشار 2016