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Research on the relationship between managerial overconfidence and M&A decision-making-moderating role based on board vigilance

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Introduction

M&A is an important strategy of rapid-scale expansion, and as our country's enterprises are in the third wave of M&A, many companies are keen to note that the M&A performance is not ideal. Therefore, people can not help but ask about the M&A performance, which is not ideal. Therefore, the question arises as to why people are so keen on M&A, though the M&A performance is not ideal, and whether there are governance measures to curb M&A.

Scholars generally believe that manager overconfidence is the main cause of M&A, and overconfidence is a common psychological feature of people [1]. Managers have more overconfidence than ordinary people [2]. Research results of Zhang et al. [3] also show that company managers are more likely to be overconfident, overconfident managers initiate more M&A [4], and management of overconfidence is positively related to M&A Shi and Zhu [5].

Managers’ overconfidence is an easy way to initiate M&A, but since M&A performance is not ideal, it is necessary to explore and restrain managers’ overconfidence and curb M&A governance factors. Scholars have two perspectives to explore the corresponding governance factors; one is through reasonable power set to realise power checks and balances, weaken the management power and curb its overconfidence psychology, such as through equity checks and balances [6] and use the scientific setting of equity concentration degree [7] to reduce the power of the largest shareholder, avoid its ‘collusion’ with managers, weaken their power and their overconfidence and inhibit M&A; the second discusses the power of the board to restrain irrational M&A from the perspective of the non-actual controller [8]. To sum up, the existing literature mainly, from the perspective of power checks and balances and the board power set, helps to suppress managers’ overconfidence and curb M&A. While the board power is often related to board vigilance premise, and if the board vigilance is not high, it will inevitably limit the board supervision, which in turn will make the board regulation managers difficult to curbing more irrational M&A. Measures have to be found by improving the board vigilance, which can curb managers’ overconfidence and curb the M&A decisions. Therefore, it has great significance to explore the impact of board vigilance on managers’ overconfidence and then curb M&A decisions.

The objectives of this study are: first, to further test whether manager overconfidence can still positively affect M&A decisions from the perspective of surplus prediction; second, whether board vigilance can restrain manager overconfidence and indirectly inhibit M&A. The contributions of this study are as follows: first, integrate manager overconfidence, board vigilance, and M&A decision into a unified framework; second, the test of board vigilance can regulate manager overconfidence and M&A decision, that is, inhibit manager overconfidence through board vigilance.

Theoretical analysis and research hypothesis
Overconfidence and M&A decision

Research by Shi and Zhu [5] show that companies with overconfident managers are about 20% more involved in implementing M&A than those that are not overconfident. CEO overconfidence is more likely to lead to M&A, [9], Doukas and Petmezas [10], Brown and Sarma [11] where studies also prove this. Gervais et al. [12] also found that CEO overconfidence underestimated investment risks and made more investment decisions, venture incentives encourage the manager to take on investment and acquisition with excessive overconfidence [13], SOE managers are more overconfident and tend to initiate M&A than private enterprise executives [14], and manager overconfidence is significantly and positively associated with M&A decisions [15]. Although the study of Shi et al. [16] believes that the motivation of manager for frequent M&A is more in the pursuit of selfish interests, the ‘leverage effect’ of managers’ overconfidence strengthen the willingness of M&A, when corporate cash flow is abundant, and management overconfidence promotes more significant M&A [17]. To sum up, many scholars’ research conclusions show that managers’ overconfidence leads to M&A decision, which is likely because managers of listed companies have a famous background, have rich management experience, have advanced management concept and strong management skills, and have thought process to control the process of M&A and after resource integration, they feel it is so easy to initiate M&A, based on the above analysis. We have put forward the following assumptions:

H1: Overconfident managers are more likely to initiate M&A than non-overconfident management

Board vigilance moderate overconfident manager and M&A decision

There is no clear definition of board vigilance, only found in a few pieces of literature on board vigilance. According to the definition of Cihai, vigilance refers to the nature of the alert, so this paper defines board vigilance as the board of directors for the steady development of the enterprise and keeping alert and guarding against a psychological and a series of preventive measures. By this definition, increased board vigilance may be beneficial to correcting irrational decisions.

Improved vigilance measures have a variety of impacts. There are two ways in which we can improve the board vigilance; The first way is when the chairman, not the concurrent general manager, can step in and better play the role of supervisor and improve vigilance. Otherwise, it will weaken the board's vigilance, and in turn will lead to the general manager's overconfident decision, which cannot be corrected in time [18]. This situation can be conducive to weakening M&A [19]. The second way is through the independent director, who can also enhance the vigilance of the board of directors, and who can play an important role in making major M&A decisions [20] by increasing the proportion of independent directors and help restrain the irrational M&A of managers [11]. The increase in the number of independent directors has significantly inhibited the M&A scale and frequency of enterprise [21], which has improved the level and quality of M&A decisions [22] by reducing M&A probability [23]. However, the study by Zhu and Yu [24] found that increasing the proportion of independent directors did not have a significant impact on managers’ overconfidence and M&A decisions. Rao and Wang [25] found that the proportion of independent directors had no significant impact on CEO overconfidence. Board vigilance can also be indicated by the greater the number of board meetings; the more regulatory the board conducts itself, the more important will be its role, indicating increased board vigilance [26].

In summary, foreign scholars believe that the vigilance of the board of directors inhibits the overconfidence of managers. The research conclusions of domestic scholars are not completely consistent with those of foreign studies, perhaps because of the short history of China's listed companies, imperfect systems and mechanisms, in not having transparent disclosure, due to incomplete or unrepresentative samples, or because of the differences in the selection orientation of the study sample. With the continuous improvement of the system and mechanism of listed companies in China, information disclosure is becoming more transparent, sample selection is more scientific and reasonable, perhaps concluding similar to those of foreign studies, and increasing board vigilance suppresses manager overconfidence and M&A [27]. Based on the above analysis, the following assumptions are hereby proposed:

H2: The vigilance of the board of directors can adjust the positive impact of managers’ overconfidence on M&A, and can restrain managers’ overconfidence and M&A

Research design
Sample data

In this paper, the A-share data of Chinese listed companies from 2016 to 2020 were selected as samples, and some data from 2015 to 2019 were used due to the need for research design. Sample selection obeys the following principles: (1) Excluding listed companies with abnormal financial conditions, including ST*, ST and PT listed companies; (2) Excluding unsuccessful listed companies; (3) Excluding insolvent listed companies; (4) Excluding listed companies with missing and abnormal data; (5) Excluding listed companies during the sample period because the combination affects the independence of the board of directors; (6) Limited data integrity, after the above operations, a total of 935 samples came from 187 listed companies. Sample data are from the Tai’an (CSMAR) database and using software including Excel and Stata 12.

Variable measure
Interpreted variable

The explained variable is the M&A decision, and the M&A decision (M&A) is the binary virtual variable. If the listed company initiates the M&A in the year t, the value is 1, while the other value is 0.

Explain variable

The explanatory variable is manager overconfidence, and this paper draws on the measures of Lin et al. [28], using earnings forecast to measure overconfidence; data processing is expressed as the difference between EPS forecast value and actual EPS value, and if the party in the sample period for at least one earnings per share forecast value is >0, we can think of the company managers’ overconfidence, and the value is 1, otherwise it is not overconfidence, and hence the value is 0; so managers’ overconfidence (Oc) is a binary virtual variable.

Regulate variable

Regulatory variables are board vigilance. So far, no measure of board vigilance has been found in the literature. According to the literature review, board vigilance can be reflected in terms of board diligence, the separation of the two positions, and the proportion of independent directors. However, the separation of the two positions and the proportion of independent directors both improve the vigilance of the board of directors from the power setting, which does not reflect the usual concerns and vigilance of the board, so it is not appropriate to measure the vigilance of the board of directors. Board diligence means that the more diligent they are, the more opportunities or the more frequency they have to understand the state of managers. The managers should be kept in a state of alert by higher vigilance by the board in the long termso that the board can better supervise management behaviour through more board meetings. Therefore, this paper uses board diligence as the alternative variable for board vigilance (Bd). In data processing, the board vigilance in year t can be reflected by the board diligence in year t, which can be expressed by the natural logarithm of the number of board meetings in that year.

Control variable

This paper refers to Yu et al. [29], Jiang et al. [30] and Wang et al. [31], where the treatment method takes into account the company size, the average age of executives, cash stock, executive cash compensation and asset-liability ratio as the control variables. The definition and calculation method of each variable are shown in Table 1.

Variable definition and calculation method

Type of variable Variable name Variable symbol Variable metric

Dependent variable Acquisition decision Merger The listed company initiates the M&A in year t, the value is 1, and the value is 0.
Independent variable Managers are over-confident Oc During the sample period, if the CEO of the acquirer compares the forecast earnings per share to the actual earnings per share at least once, the high company manager is regarded as the overconfidence manager, and the value is 1, while the value is 0.
Regulated Variable Board vigilance Bd Board vigilance in year t is expressed by the natural logarithm of the number of board meetings in year t.
Controlle d variable Company size Size Natural logarithm of the total assets at the end of t − 1.
Executive age Avage The average age of acquirer executives
Cash stock Cash Cash stock of the purchaser at the end of t − 1/total assets at the end of t − 1.
Cash compensation Cashcomp Total compensation of the acquiring party's CEO.
Asset-liability ratio Lev Total liabilities in year t/total assets in year t, take the average asset-liability ratio at the end of the period.
Model construction

To test the relevant hypotheses, building Models (1) and (2) are used to test Hypothesis (1) and Assumption (2), respectively: Merger=β0+β1OC+controlvariable+ɛ Merger = {\beta _0} + {\beta _{1{O_{C + }}}}{control\, variable} + \varepsilon Merger=β0β1OC+β2OC×Bd+controlvariable+ɛ Merger = {\beta _0}{\beta _{1OC}} + {\beta _{2{O_{C \times }}}} {\rm Bd} + {control\, variable} + \varepsilon In the model, M&A is the M&A decision, OC for manager overconfidence, Bd for the board vigilance, control variable for the control variable, β i is the regression coefficient used, which ɛ is a random error term.

Empirical analysis
Descriptive statistics

Table 2 presents descriptive statistics for the variables, including M&A decision (M&A), overconfidence (Oc), and board vigilance (Bd). The maximum value of an M&A decision is 1, the minimum is 0, while the mean is 0.8, indicating that most managers tend to go after M&A and the standard deviation is 0.40, indicating that managers of listed companies differ in M&A. The maximum value of manager overconfidence (Oc) is 1, the minimum is 0, and the mean is 0.96, indicating that most managers tend to be overconfident and the standard deviation is 0.2, indicating the dispersion of overconfidence is small. Bd maximum is 3.67, and the minimum value is 0.69, which shows that the different listed companies’ board vigilance difference is big, the supervision of managers also is different, and the average of these is 2.27, which on the whole, the board of directors of listed companies has a strong supervision effect on managers; with the standard deviation of 0.05, the dispersion of the board of directors’ vigilance of listed companies is small. Descriptive statistical results of the other control variables are presented in Table 2, which are limited to space, and will not be detailed here.

Descriptive statistical result

Variable Crest value Least value Mean Standard deviation Observed value

Merger 1 0 0.80 0.40 935
Oc 1 0 0.96 0.20 935
Bd 3.67 0.69 2.27 0.05 935
Size 25.38 14.00 21.76 1.44 935
Average 59 35.6 47.44 3.28 935
Cash 8.45 −0.01 0.21 0.40 935
Cashcomp 6,600,000 6,700 720,526.90 787,884.20 935
Lev 11.51 −0.19 0.54 0.51 935
Correlation analysis

The correlation analysis covers nine variables, including M&A decision, management overconfidence, board diligence, company size, executive average age, cash stock, executive cash compensation and asset-liability ratio, and the correlation analysis result is shown in Table 3.

Correlation analysis

Variable Merer Oc Bd Size Average Cash Cash comp Lev

Merger 1.0000
Oc 0.0493 1.0000
Bd 0.0340 −0.0267 1.0000
Size 0.0556 −0.0965 0.0375 1.0000
Average −0.0220 0.0480 −0.0239 0.1856* 1.0000
Cash −0.0104 −0.0072 0.0435 −0.2778* −0.0441 1.0000
Cash comp 0.1451* −0.0389 −0.0304 0.2854* 0.0199 −0.0372 1.0000
Lev 0.0384 −0.0064 −0.0626 0.0720 0.0401 −0.0330 0.0185 1.0000

For a 1% significance level.

For a 5% significance level.

For a 10% significance level

According to Table 3, manager overconfidence is positively correlated to M&A decisions. It preliminarily shows that managers’ overconfidence can positively affect M&A decisions. While board diligence is positively related to the M&A decision, it can be preliminarily determined that the board diligence performance positively affects the M&A decision, and further empirical analysis is needed. As enterprise size is positively correlated with M&A decisions, preliminary evidence shows that the larger the enterprise scale, the more likely to initiate M&A. Average age of the executive is negatively associated with M&A decisions, and a preliminary study shows that the older the manager, the more conducive to inhibiting M&A. Cash stock is negatively correlated to M&A decision, which indicates that cash stock will not promote M&A. Executive compensation is significantly and positively correlated with M&A decisions, and it shows that executive compensation can significantly affect M&A decisions. While the asset-liability ratio is positively correlated with M&A decisions, it indicates that enterprises are likely to be acquired through debt. According to Table 3, the absolute value of the correlation coefficients of any two variables is <0.7, and multi-collinearity was excluded, it also shows that with the appropriate selection of indicators, the next study can be conducted.

Regression analysis

Due to the missing variables caused by unobserved individual differences or heterogeneity, this paper adopts panel data, and because the M&A decision is a binary virtual variable, this paper uses Xtlogit model for regression analysis. The regression data is shown in Table 4. Column 1 is based on Model (1), and column 2 is based on Model (2) of the regression results, and with each column of regression data is the regression coefficient, the M&A decision can be tested according to the regression coefficient.

The impact of managers’ overconfidence on M&A decision and the moderating effect of the board of directors’ diligence

Variable Forecast Oc with surplus Oc is measured by executive compensation
Merger Merger Merger Merger Merger Merger

Oc 0.7246** (0.3662) −3.3092 (2.1999) 0.4200* (0.2193) −1.9747 (1.2562) 0.3200* (0.2123) −1.6247 (1.2262)
Size 0.0258 (0.0669) 0.0179 (0.0660) 0.0171 (0.0388) 0.0110 (0.0384) 0.0071 (0.0328) 0.0100 (0.0324)
Bd −1.3316 (0.8780) −0.7984 (0.5035) −0.6232 (0.3035)
Ocbd 1.7055* (0.9038) 1.0138* (0.5186) 1.0124* (0.2183)
Average −0.0270 (0.0259) −0.0231 (0.0255) −0.0155 (0.0149) −0.0135 (0.0147) −0.0125 (0.0119) −0.0135 (0.0123)
Cash 0.0099 (0.1875) −0.0107 (0.1881) 0.0077 (0.1107) −0.0025 (0.1112) 0.0067 (0.1003) −0.0023 (0.1010)
Cashcomp 0.0012*** (0.0000) 0.0013*** (0.0000) 0.0011*** (0.0000) 0.0012*** (0.0000) 0.0011*** (0.0000) 0.0010*** (0.0000)
Lev 0.3360 (0.3036) 0.3599 (0.3094) 0.1959 (0.1733) 0.2121 (0.1782) 0.1059 (0.1233) 0.2011 (0.1722)
Constant 0.6688 (1.7311) 3.8381 (2.6362) 0.3741 (1.0050) 2.3127 (1.5183) 0.3141 (1.0030) 2.1127 (1.2183)
Observations 935 935 935 935 935 935

For a 1% significance level.

For a 5% significance level.

For a 10% significance level

The impact of manager overconfidence on M&A decision

According to column 1 of Table 4, the regression coefficient of manager overconfidence (Oc) and M&A decision (M&A) is approximately 0.7246 and significant at 5%, indicating that manager overconfidence significantly promotes M&A and that Hypothesis 1 holds. Therefore, the research conclusion of this paper is the same as that of many scholars. Considering the relation between control variables and the M&A decision, executive cash pay was significantly positively correlated with the M&A decision, indicating that executive pay could significantly promote M&A. The relationship between the average age of managers and M&A decisions, and other control variables are positively correlated with M&A decisions, but none of them is significant.

The regulatory role of the board of directors in management overconfidence and M&A decision-making relationship

According to the data in column 2 of Table 4, after joining the board vigilance (Bd), the regression coefficient of manager overconfidence (Oc) and M&A decisions (M&A) is −3.3092, which is <0 and not significant, and the results show that board vigilance (Bd) moderates the relationship between managers’ overconfidence and M&A decisions to a certain extent. Since the regression coefficient of board vigilance and M&A decision-making is −1.3316, which is <0, it can also be preliminarily judged that the vigilance of the board of directors can directly inhibit the M&A decision to a certain extent. While the regression coefficient of the passenger term Oc * bd and the M&A decision is 1.7055, which is >0, and was significant at the 10% level, it shows that board vigilance has a good moderating effect and can significantly regulate the relationship between managers’ overconfidence and M&A decisions.

In conclusion, board vigilance can not only directly inhibit M&A decisions but also significantly inhibit M&A by inhibiting managers’ overconfidence, indicating that Hypothesis 2 is valid. In addition, the correlation and significance of control variables and M&A decisions did not change.

Robustness test

Although this regression analysis uses the Xtlogit model, to some extent, the negative impact of the analytical conclusions is reduced, which is caused by possible missing variables. However, to further test the reliability of the empirical analysis conclusion, the robustness test was performed using the Xtprobit model, and the test data are shown in columns 3 and 4 of Table 4. Column 3 is based on the regression result of Model (1), while column 4 is based on the regression result of Model (2). Each column of data is also the regression coefficient of each variable and the M&A decision, according to the regression coefficient to test the hypothesis. Considering that the overconfidence of managers is related to their own compensation, the higher the compensation is, the higher the degree of overconfidence tends to be. To further test the robustness of the empirical analysis conclusion, the executive compensation ratio is used to substitute earnings forecast to measure the overconfidence of managers, and the Xtprobit model is used again to conduct the robustness test. Data processing uses the listed top three highest-paid companies. The sum of executive compensation, that is, all executives pay combined ratios measure managers’ overconfidence;, if the ratio is greater than the sample of all the companies’ combined ratio on average, the companies’ managers are regarded as having overconfidence and the value is 1, then the company managers overconfidence conversely turns to value 0.

Managers’ overconfidence affects the robustness of M&A decision

According to the data in column 3 of Table 4, the regression coefficient between M&A decisions and manager overconfidence (Oc) is 0.4200 >0 and is significant at 10%, still indicating that manager overconfidence can significantly promote M&A, further indicating that Hypothesis 1 holds and that the empirical analysis conclusion is robust. In terms of the relationship between control variables and M&A decision, executive cash compensation is still significantly and positively correlated with M&A decision, which still shows that executive compensation can significantly promote M&A, and the correlation and significance of other control variables and M&A decision remain unchanged, which once again shows that the empirical analysis conclusion is robust. When considering executive pay than managers’ overconfidence robustness inspection, the regression results as shown in column 5 of Table 4, according to the column data, managers’ overconfidence (Oc) and M&A decisions are still significant positive correlations. It once again shows that managers’ overconfidence can significantly promote M&A, showing that Hypothesis 1 is set up again, and the conclusion of empirical analysis has good robustness.

The vigilance of the board regulates the robustness of managers’ overconfidence and M&A decision-making relationship

According to the data in column 4 of Table 4, when performing the robustness test, after joining the board vigilance (Bd), the regression coefficient of manager overconfidence (Oc) and M&A decision (M&A) is −1.9747, which is <0 and not significant, again shows the manager overconfidence under the vigilance of the board, and also has the possibility to inhibit M&A. Regression coefficient of board vigilance and M&A decision is −0.7984, which is <0, it can also further judge that the vigilance of the board can directly inhibit the M&A decision to a certain extent. The regression coefficient of the passenger term Oc*bd and the M&A decision is 1.0138 >0, and significantly at the 10% level, still indicating a good regulation of board vigilance, can significantly adjust the relationship between manager overconfidence and M&A decision. That is, board vigilance can directly curb M&A decision, it can also significantly suppress M&A decision by inhibiting manager overconfidence, which Hypothesis 2 holds. The correlation and significance between each control variable and the M&A decision remain unchanged, indicating that the empirical analysis conclusion is robust. According to the data in column 6 of Table 4, when the executive compensation ratio is used to measure managers’ overconfidence, the regression coefficient is −1.6247 of managers’ overconfidence (Oc) and M&A decision is <0, managers’ overconfidence is negatively correlated with M&A decision, again indicating that board vigilance plays a moderating role. The regression coefficient of −0.6232 between board vigilance and M&A decision is <0, which can further determine that board vigilance can directly inhibit M&A to a certain extent. The regression coefficient 1.0124 was >0 and the significant level was 10%, indicating that board vigilance had a good moderating effect and could significantly regulate the relationship between management overconfidence and M&A decisions.

In conclusion, through the robustness test, the empirical robustness test conclusion and the robustness test conclusion are completely consistent, indicating that the empirical analysis conclusion is robust.

Research conclusion

In the empirical analysis, regression analysis was carried out according to the Xtlogit model, followed by a robustness test. In the robustness test, first of all, earnings forecast is used to measure managers’ overconfidence, and the Xtprobit model is used for regression analysis. Second, the measurement method of managers’ overconfidence is changed to the executive compensation ratio, and the Xtprobit model is also used for regression analysis. Through empirical analysis and robustness test, it is found that managers’ overconfidence can positively influence M&A decisions, and board vigilance can directly inhibit M&A decisions, and indirectly inhibit M&A decisions through inhibiting management overconfidence, board vigilance is a relatively effective governance measure. Based on the above research conclusions, listed companies can prevent the performance decline of listed companies to a certain extent by improving the vigilance of the board of directors to restrain irrational M&A due to overconfidence in management.

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