Abstract

Although transfer entropy can test the nonlinear causal relationship between sequences, it is mainly used for stationary data. For nonstationary sequences with large fluctuations, the traditional transfer entropy method has obvious defects. Based on traditional transfer entropy, this paper proposes a transfer entropy method with rolling windows. We verify that this new method can capture the dynamic order between sequences and better reveal the nonlinear causality between nonstationary time series. Furthermore, we construct an investor sentiment index based on principal component analysis, and based on the proposed dynamic transfer entropy model, we analyze the information transfer relationship among economic policy uncertainty (EPU), investor sentiment and stock markets. The results of the information flow analysis of EPU and investor sentiment show that EPU influenced investor sentiment mainly from August 2015 to June 2016. Among different policies, China’s exchange rate reform policy and ‘circuit-breaker’ policy in the stock market have played an important role. The analysis of the information flow between sentiment and stock price returns shows that investor sentiment is more a reflection of changes in stock price returns with a 1-month lag order and that the stock market has a significant bargainer effect and a weaker bandwagon effect. There is no significant information flow transmission relationship between EPU and stock market volatility, which indicates that stock market fluctuations are basically not affected by national policy fluctuations. Although investor sentiment is affected by changes such as exchange rate reform and stock market policies, many investors do not form consensus expectations.

Highlights

  • Transfer entropy arises from the formulation of conditional mutual information

  • In section An Improved Effective Transfer Entropy Method Based on a Sliding Window, we propose an improved effective transfer entropy (ETE) method based on sliding windows

  • Based on the dynamic transfer entropy notation (TE) method, we analyze the causal relationship between economic policy uncertainty (EPU) and investor sentiment

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Summary

Introduction

Transfer entropy arises from the formulation of conditional mutual information. When conditioning on past values of variables, it quantifies the reduction in uncertainty provided by these past values in predicting the dependent variable, which presents a natural way to model statistical causality between variables in multivariate distributions. In the general formulation, transfer entropy is a model-free statistic that is able to measure the time-directed transfer of information between stochastic variables and provides an asymmetric method to measure information transfer. The information transfer method has been widely used in the finance field. Kwon & Yang [1] employed it to measure the relationship between equities indices, showing that the information transfer was greatest from the US and toward the Asia Pacific region. Kyrtsou et al [3] proposed a Granger causality method based on partial

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