investor's utility in portfolio rebalancing strategies

Subject Areas : Financial Knowledge of Securities Analysis

Alireza Validi ¹ , M. Ebrahim Aghababaei ²

1 - MA. Of Financial Engineering, Kharazmi University, Tehran, Iran.
2 - Assistant Professor of Financial Management, Kharazmi University, Tehran, Iran.

Received: 2017-04-15 Accepted : 2017-06-22 Published : 2019-01-21

Keywords: Portfolio Rebalancing, Rebalancing Frequency, Log-optimal Approach, Hybrid Rebalancing Strategy,

Abstract :

Choosing an appropriate strategy for portfolio rebalancing is a crucial matter in today's financial markets with logarithmic and high frequency transactions. In log-optimal approach named also active strategy, portfolio rebalancing is a continuous time process and the optimality of such strategy is assured only for very long-term investment horizons. But continuous-time rebalancing is impractical and portfolios have finite horizon usually. In this article we will introduce another strategy with less rebalancing frequency to attain log-optimal utility at least, because of costly and infeasibility of continuous rebalancing for investors. Then we will implement these strategies on a portfolio consist of several Tehran exchange stocks. The results showed that «Hybrid Rebalancing Strategy» offers more utility for investors in comparison to other strategies.

References:

*      زندیه، مصطفی و امیری، مقصود (1392). «تأثیر متوازن‌سازی مجدد مدل چند دوره‌ای پرتفوی سرمایه‌گذاری، بر روی بازدهی پرتفوی، با استفاده از الگوریتم فرا ابتکاری»، پایان‌نامه کارشناسی ارشد، موسسه آموزش عالی غیرانتفاعی و غیردولتی رجاء قزوین.

*      فدایی نژاد، محمد اسماعیل و بنائیان، حمید (1389). «طراحی مدل متوازن‌سازی مجدد پرتفوی سرمایه‌گذاری با در نظر گرفتن هزینه‌های معاملاتی بر مبنای رویکرد تصمیم‌گیری فازی»، هشتمین کنفرانس بین‌المللی مدیریت، گروه پژوهشی آریانا.

*      Algoet, P. Cover, T. (1988). "Asymptotic optimality and asymptotic equipartition properties of log-optimum investment". The Annals of Probability

*      Arnott, R. Lovell, R. (1993). "Rebalancing: Why? When? How often?". Journal of investing   (1)

*      Bernstein, W. "The rebalancing bonus: Theory and practice". Available At: http://www.efficientfrontier.com/ef/996/rebal.htm.

*      Branger, N. Breuer, B. Schlag, C. (2010). "Discrete-time implementation of continuous-time portfolio strategies" European Journal of Finance 16 (2)

*      Calvet, L. Campbell, J. Sodini, P. (2009)."Fight or flight? Portfolio rebalancing by individual investors". Quarterly Journal of Economics 124 (1)

*      Collins, P. Stampfli, J. (2005). "Risk, return and rebalancing". Tech. rep., Schultz Collins Lawson Chambers, Inc.

*      Das, S. Goyal, M. (2014). "Discrete-Time Log-Optimal Portfolio Rebalancing: A Scalable Efficient Algorithm". IEEE Computational Intelligence for Financial Engineering and Economics

*      Fenton, L. (1960). "The sum of log-normal probability distributions in scatter transmission systems". Communications Systems, IRE Transactions on 8 (1)

*      GyRfi, L. UrbN, A. Vajda, I. (2007). "Kernel-based semi-log-optimal empirical portfolio selection strategies". International Journal of Theoretical and Applied Finance (IJTAF) 10 (03)

*      Hull, J. (2011). "Options, Futures, and Other Derivatives". Prentice Hall, New Jersey

*      Johnson, B. (2010). "Algorithmic trading & DMA". 4Myeloma Press.

*      Kritzman, S. Page, S. (2009). "Optimal rebalancing: a scalable solution". Journal of Investment Management 7 (1)

*      Liu, J. Longstaff, F. Pan, J. (2003). "Dynamic asset allocation with event risk". Journal of Finance

*      Luenberger, D. (1988). "Investment science". Oxford Univ. Press, New York

*      Masters, S. (2003). "Rules for rebalancing". Journal of Portfolio Management

*      Merton, R. (1971). "Optimum consumption and portfolio rules in a continuous-time model". Journal of Economic Theory 3 (4)

*      Neftci, S. (2000). "An Introduction to the Mathematics of Financial Derivatives". Advanced Finance, Academic Press, London

*      Sun, W. Fan, A. Chen, L. Schouwenaars, T. Albota, M. (2006). "Using dynamic programming to optimally rebalance portfolios". The Journal of Trading 1 (2)

*      Thompson, J. "What history tells us better to have rebalanced regularly than not at all". Financial Planning

*      Tokat, Y. "Portfolio rebalancing in theory and practice". Journal of Investing.