基于动态参照点的损失厌恶投资组合优化模型

doi:10.12005/orms.2015.0195

运筹与管理 ›› 2015, Vol. 24 ›› Issue (6): 51-57.DOI: 10.12005/orms.2015.0195

基于动态参照点的损失厌恶投资组合优化模型

王佳¹, 金秀¹, 苑莹¹, 王旭²

1.东北大学工商管理学院,辽宁沈阳 110819;
2.东北大学信息科学与工程学院,辽宁沈阳 110819

收稿日期:2014-04-17 出版日期:2015-12-25
作者简介:王佳(1986-),女,河北唐山人,博士,讲师,研究方向:金融工程、行为金融;金秀(1963-),女,辽宁辽阳人,教授,博士生导师,研究方向:金融工程、行为金融。
基金资助:
国家自然科学基金资助项目(71271047,70901017)

Loss Aversion Portfolio Optimal Model with Dynamic Reference Point

WANG Jia¹, JIN Xiu¹, YUAN Ying¹, WANG Xu²

1.College of Business Administration, Northeastern University, Shenyang 110819, China;
2.College of Information Science & Engineering, Northeastern University, Shenyang 110819, China

Received:2014-04-17 Online:2015-12-25

摘要/Abstract

摘要： 在连续时间下,考虑损失厌恶投资者参照点的动态调整特征,构建基于动态参照点的损失厌恶投资组合模型,使用鞅方法对模型进行求解,得到最优风险资产权重的解析表达式。并计算损失厌恶投资者在参照点动态调整条件下的预期最优期末财富。进一步应用数值算例,分析投资者的参照点动态调整幅度和损失厌恶水平对模型最优风险资产权重和预期最优期末财富的影响。

关键词: 动态参照点, 损失厌恶, 投资组合, 连续时间

Abstract: Under continuous time, considering dynamic updating character of reference point of loss aversion investors, we construct loss aversion portfolio model with dynamic reference point. Then, using martingale method, we derive the analytical expression of optimal risky asset weight, based on which we obtain the expected optimal terminal wealth of loss aversion investors whose reference point is dynamically adjusted. Furthermore, using numerical cases, we analyze the effects of dynamic adjustment amplitude of reference point and loss aversion degree of investors on model from the aspects of optimal risky asset weight and expected optimal terminal wealth.

Key words: dynamic reference point, loss aversion, portfolio, continuous time

中图分类号:

F830

王佳, 金秀, 苑莹, 王旭. 基于动态参照点的损失厌恶投资组合优化模型[J]. 运筹与管理, 2015, 24(6): 51-57.

WANG Jia, JIN Xiu, YUAN Ying, WANG Xu. Loss Aversion Portfolio Optimal Model with Dynamic Reference Point[J]. Operations Research and Management Science, 2015, 24(6): 51-57.

参考文献

[1] Benartzi S,Thaler R H. Myopic loss aversion and the equity premium puzzle[J]. Quarterly Journal of Economics, 1995, 110(1): 73-92.
[2] Siegel J, Thaler R H. Anomalies: the equity premium puzzle[J]. Journal of Economic Perspectives, 1997, 11(1): 191-200.
[3] Kahneman D, Tversky A. Prospect theory: an analysis of decision under risk[J]. Econometrica, 1979, 47(2): 263-291.
[4] Gomes F J. Portfolio choice and trading volume with loss-averse investors [J]. Journal of Business, 2005, 78(2): 675-706.
[5] Pirvu T A, Schulze K. Multi-stock portfolio optimization under prospect theory[J]. Mathematics and Financial Economics, 2012, 6(4): 337-362.
[6] Fortin I, Hlouskova J. Optimal asset allocation under linear loss aversion[J]. Journal of Banking and Finance, 2011, 35(11): 2974-2990.
[7] Merton R C. The financial system and economic performance[J]. Journal of Financial Services Research, 1990, 4(4): 263-300.
[8] Berkelaar A, Kouwenberg R. From boom ‘til bust: how loss aversion affects asset prices[J]. Journal of Banking and Finance, 2009, 33(6): 1005-1013.
[9] Jin H Q, Zhou X Y. Behavioral portfolio selection in continuous time[J]. Mathematical Finance, 2008, 18(3): 385-426.
[10] De Giorgi E G. Loss aversion with multiple investment goals[J]. Mathematics and Financial Economics, 2011, 5(3): 203-227.
[11] De Giorgi E G, Legg S. Dynamic portfolio choice and asset pricing with narrow framing and probability weighting[J]. Journal of Economic Dynamics and Control, 2012, 36(7): 951-972.
[12] Rásonyi M, Rodrigues A M. Optimal portfolio choice for a behavioral investor in continuous-time markets[J]. Annals of Finance, 2013, 9(2): 291-318.
[13] Yao J, Li D. Bounded rationality as a source of loss aversion and optimism: a study of psych-ological adaptation under incomplete information[J]. Journal of Economic Dynamic and Control, 2013, 37(1): 18-31.
[14] 米辉,张曙光.财富约束条件下损失厌恶投资者的动态投资组合选择[J].系统工程理论与实践,2013,33(5):1107-1115.
[15] Barberis N, Huang M. Mental accounting, loss aversion, and individual stock returns[J]. Journal of Finance, 2001, 56(4): 1247-1292.
[16] Zhang W, Semmler W. Prospect theory for stock markets: empirical evidence with time-series data[J]. Journal of Economic Behavior and Organization, 2009, 72(3): 835-849.
[17] Berkelaar A, Kouwenberg R, Post T. Optimal portfolio choice under loss aversion[J]. The Review of Economics and Statistics, 2004, 86(4): 973-987.
[18] Harrison J M, Pliska S R. Martingales and stochastic integrals in the theory of continuous trading[J]. Stochastic processes and their applications, 1981, 11(3): 215-206.

基于动态参照点的损失厌恶投资组合优化模型

Loss Aversion Portfolio Optimal Model with Dynamic Reference Point

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