Table 4 Parameter estimation for the serial multiple mediation model

From: Research on the impact of algorithmic trading on market volatility

    

Control variables

Sample

\(\widehat{AT}_{i,t}\)

\(Sentiment_{i,t}\)

\(Herds_{i,t}\)

\(Depth1_{i,t}\)

\(Depth5_{i,t}\)

\(1/P_{i,t}\)

\(RQS_{i,t}\)

\(Vol_{i,t}\)

Panel A: Impact of AT on \(Sentiment_{i,t}\)

Pooled

−0.015***

  

−0.010

0.002

0.106

−0.005***

0.001***

 

(−12.08)

  

(−1.15)

(0.72)

(0.25)

(−3.33)

(5.14)

GEM

−0.017***

  

−0.010

0.016***

−0.569

−−0.008***

0.002***

 

(−7.29)

  

(−0.88)

(3.98)

(−0.80)

(−3.44)

(3.63)

MBM

−0.011***

  

−0.014***

0.002

−1.572**

0.004

0.000

 

(−7.20)

  

(−2.80)

(1.17)

(−2.57)

(1.61)

(0.77)

SME

−0.013***

  

−0.024***

0.010***

−0.020

−0.004**

0.001***

 

(−6.99)

  

(−3.67)

(3.76)

(−0.03)

(−2.03)

(5.35)

Panel B: Impact of AT and \(Sentiment_{i,t}\) on \(Herds_{i,t}\)

Pooled

−0.306***

0.642***

 

−0.216***

0.027**

30.938***

−0.090***

−0.011***

 

(−17.67)

(9.21)

 

(−6.79)

(2.35)

(7.05)

(−5.70)

(−11.60)

GEM

−0.253***

1.026***

 

−0.116

0.123***

14.304**

−0.100***

−0.008***

 

(−10.95)

(7.99)

 

(−0.73)

(2.84)

(2.03)

(−4.18)

(−4.82)

MBM

−0.319***

−0.268**

 

−0.290***

0.028***

28.643***

−0.027

−0.013***

 

(−10.65)

(−2.13)

 

(−6.87)

(3.81)

(3.10)

(−0.58)

(−8.74)

SME

−0.336***

0.445***

 

−0.195***

0.056***

34.455***

−0.088***

−0.012***

 

(−10.56)

(4.21)

 

(−3.21)

(2.88)

(4.71)

(−3.68)

(−6.90)

Panel C: Impact of AT, \(Sentiment_{i,t}\) and \(Herds_{i,t}\) on \(Volatility_{i,t}\)

Pooled

−0.562***

14.700***

0.103***

0.776***

−0.306***

−18.649

1.386***

0.043***

 

(−11.94)

(22.80)

(35.93)

(2.96)

(−4.14)

(−1.07)

(16.59)

(5.73)

GEM

−0.343***

14.584***

0.096***

3.977***

−0.994***

−38.575

1.505***

0.070***

 

(−5.38)

(10.86)

(20.77)

(3.20)

(−3.48)

(−1.43)

(12.32)

(3.92)

MBM

−1.036***

11.709***

0.111***

−0.421**

−0.098**

−10.216

1.371***

0.000

 

(−11.73)

(6.79)

(17.36)

(−2.01)

(−2.05)

(−0.28)

(5.69)

(0.01)

SME

−0.544***

14.272***

0.103***

1.184**

−0.513***

25.196

1.238***

0.055***

 

(−7.22)

(18.85)

(22.99)

(2.16)

(−3.91)

(0.98)

(9.75)

(5.59)