Abstract:To explore the impacts of dividend volatility on the evolution characteristics of stock prices, this paper constructs a heterogeneous investor model, and analyzes this model through theoretical derivation, numerical simulation and empirical testing. The main research conclusions include: The state of stock price evolution is sensitive to the learning intensity of the trend investors. When the learning intensity is low, the stock price would converge to its basic value. When a certain threshold is exceeded, the stock price deviates from its basic value and shows a new equilibrium. With the further increase of learning intensity, the stock price will show a closed-loop cyclic solution. There is also a threshold for the dividend volatility. The impacts of dividend volatility on the volatility of stock price are in the opposite direction on two sides of this threshold.
郭战兵, 张盼盼, 马雨帆. 分红波动程度对股价演化特征的影响分析[J]. 复杂系统与复杂性科学, 2024, 21(4): 73-80.
GUO Zhanbing, ZHANG Panpan, MA Yufan. Analysis on the Influence of Dividend Volatility on the Evolution Characteristics of Stock Price[J]. Complex Systems and Complexity Science, 2024, 21(4): 73-80.
[1] 李加棋, 樊国华, 邱强, 等. 上市公司分红政策与股价波动实证分析[J]. 财会通讯, 2012, 33(32): 48-49. LI J Q, FAN G H, QIU Q, et al. Empirical study of dividend policy and stock price volatility of listed companies[J]. Communication of Finance and Accounting, 2012, 33(32): 48-49. [2] 宋逢明, 姜琪, 高峰. 现金分红对股票收益率波动和基本面信息相关性的影响[J]. 金融研究, 2010, 33(10): 103-116. SONG F M, JIANG Q, GAO F. The effect of cash dividend on the relevance of stock return volatility to fundamental values[J]. Journal of Financial Research, 2010, 33(10): 103-116. [3] 俞乔, 程滢. 我国公司红利政策与股市波动[J]. 经济研究, 2001, 36(4): 32-40,95. YU Q, CHENG Y. The firm’s dividend policy and stock market fluctuation in China[J]. Economic Research Journal, 2001, 36(4): 32-40,95. [4] 张一, 刘志东, 张永超等. 基于元模型的异质交易行为主体下股票市场微观结构仿真研究[J]. 管理工程学报, 2021, 35(1): 92-103. ZHANG Y, LIU Z D, ZHANG Y C, et al. Microstructure simulation of stock market with meta model in a heterogeneous market environment [J]. Journal of Management Engineering, 2021, 35(1): 92-103. [5] BROCK W A, HOMMES C H. Heterogeneous beliefs and routes to chaos in a simple asset pricing model[J]. Journal of Economic Dynamics and Control, 1998, 22(8/9): 1235-1274. [6] ZHAO D, LI K. Bounded rationality, adaptive behaviour, and asset prices[J]. International Review of Financial Analysis, 2022, 80: 102037. [7] 王婧, 杨志. 基于不同角色下的做市商制金融市场模型研究[J]. 运筹与管理, 2021, 30(6): 139-143. WANG J, YANG Z. Research on financial market model based on different roles of market maker[J]. Operations Research and Management, 2021, 30(6): 139-143. [8] ANUFRIEV M, TICHY′ T, LAMANTIA F,et al. An asset pricing model with accuracy-driven evolution of heterogeneous expectations[J]. Communications in Nonlinear Science and Numerical Simulation, 2023, 117: 106975. [9] SCHMITT N. Heterogeneous expectations and asset price dynamics[J]. Macroeconomic Dynamics, 2021, 25(6): 1538-1568. [10] DÍAZ A, ESPARCIA C. Dynamic optimal portfolio choice under time-varying risk aversion[J]. International Economics, 2021, 166: 1-22. [11] DEMIRER R, GKILLAS K, GUPTA R, et al. Time-varying risk aversion and realized gold volatility[J]. The North American Journal of Economics and Finance, 2019, 50: 101048. [12] PFLUEGER C, RINALDI G. Why does the Fed move markets so much? a model of monetary policy and time-varying risk aversion [J]. Journal of Financial Economics, 2022, 146(1): 71-89. [13] CUILMI C D, HE X Z, LI K. Herding, trend chasing and market volatility[J]. Journal of Economic Dynamics and Control, 2014, 48: 349-373. [14] BOSWIJK H P, HOMMES C H, MANZAN S. Behavioral heterogeneity in stock prices[J]. Journal of Economic Dynamics and Control, 2007, 31(6): 1938-1970. [15] PARK B J. Time-varying, heterogeneous risk aversion and dynamics of asset prices among boundedly rational agents[J]. Journal of Banking and Finance, 2014, 43: 150-159. [16] AGLIARI A, NAIMZADA A, PECORA N. Boom-bust dynamics in a stock market participation model with heterogeneous traders[J]. Journal of Economic Dynamics & Control, 2018, 91: 458-468. [17] BRIANZONI S, CAMPISI G. Dynamical analysis of a financial market with fundamentalists, chartists, and imitators[J]. Chaos, Solitons and Fractals, 2020, 130: 109434. [18] 王铎, 彭建平, 郑敏. 做市商调整价格速度与资产价格的波动[J]. 管理评论, 2004, 16(11): 28-34,63-64. WANG D, PENG J P, ZHENG M. The price adjustment speed of market makers and the fluctuation of asset price[J]. Management Review, 2004, 16(11): 28-34,63-64. [19] 姚远, 姜雅芳, 翟佳. 投资者情绪与CPPI策略最优风险乘数选择[J]. 管理评论, 2018, 30(8): 43-57. YAO Y, JIANG Y F, ZHAI J. Investor sentiment and optimizing risk multiplier of CPPI[J]. Management Review, 2018, 30(8): 43-57. [20] 李乃明. 含学习强度的资本资产定价模型及其实证分析[D]. 乌鲁木齐: 新疆大学, 2017. LI N M. A capital asset pricing model with learning strength and empirical analysis[D]. Urumqi: Xinjiang University, 2017. [21] 田英楠, 王嘉琪, 张新立. 不同理性预期下量子库诺特模型的动态演化分析[J]. 复杂系统与复杂性科学, 2021, 18(3): 45-50. TIAN Y N, WANG J Q, ZHANG X L. Analysis of the dynamic evolution of the quantum Cournot model under different rational expectations[J]. Complex Systems and Complexity Science, 2021, 18(3): 45-50. [22] 李超然, 刘举胜, 宋美, 等. 演化博弈视角下的医患关系分析及对策研究[J]. 复杂系统与复杂性科学, 2022, 19(3): 44-54. LI C R, LIU J S, SONG M, et al. Analysis of doctor-patient relationship and countermeasures from the perspective of evolutionary game[J]. Complex Systems and Complexity Science, 2022, 19(3): 44-54. [23] XIE L, HOU P, HAN H. Implications of government subsidy on the vaccine product R&D when the buyer is risk averse[J]. Transportation research Part E, Logistics and transportation review, 2021, 146: 102220. [24] MAI F, ZHANG J, SUN X. Dynamic analysis of pricing model in a book supply chain[J]. International Journal of Production Economics, 2021, 233: 108026.