Table 6 Robustness test after substituting AT proxy variables

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 \(Volatility_{i,t}\)

Pooled

−18.511***

  

3.243***

−0.552***

−403.758***

1.790***

0.290***

 

(−12.92)

  

(9.85)

(−10.12)

(−13.89)

(20.45)

(21.02)

GEM

−14.087***

  

5.819***

−0.953***

−342.227***

1.743***

0.275***

 

(−6.41)

  

(4.23)

(−3.61)

(−6.21)

(13.56)

(15.18)

MBM

−27.253***

  

3.258***

−0.491***

−599.643***

2.125***

0.342***

 

(−12.28)

  

(11.54)

(−11.36)

(−12.09)

(8.48)

(15.45)

SME

−17.350***

  

3.288***

−0.628***

−336.498***

1.632***

0.292***

 

(−7.64)

  

(5.23)

(−4.90)

(−9.23)

(12.50)

(13.20)

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

Pooled

−0.336***

  

0.038***

−0.003

−7.023***

0.004***

0.005***

 

(−11.98)

  

(4.27)

(−0.89)

(−12.08)

(2.67)

(19.13)

GEM

−0.384***

  

0.045***

0.011**

−8.718***

0.002

0.007***

 

(−7.22)

  

(2.97)

(2.55)

(−6.81)

(0.76)

(14.61)

MBM

−0.258***

  

0.023***

−0.002

−7.020***

0.011***

0.003***

 

(−7.07)

  

(3.75)

(−1.53)

(−8.00)

(4.00)

(8.92)

SME

−0.288***

  

0.017***

0.006**

−6.136***

0.004**

0.005***

 

(−6.94)

  

(2.58)

(2.13)

(−8.66)

(2.01)

(12.11)

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

Pooled

−6.959***

0.646***

 

0.771***

−0.079***

−115.307***

0.091***

0.076***

 

(−17.65)

(9.27)

 

(15.84)

(−6.25)

(−20.11)

(4.95)

(18.34)

GEM

−5.789***

1.029***

 

0.706***

0.036

−107.101***

0.051*

0.065***

 

(−10.95)

(8.02)

 

(4.01)

(0.81)

(−12.23)

(1.89)

(11.39)

MBM

−7.215***

−0.267**

 

0.736***

−0.082***

−123.412***

0.161***

0.078***

 

(−10.62)

(−2.11)

 

(10.26)

(−8.17)

(−12.26)

(3.41)

(10.85)

SME

−7.642***

0.449***

 

0.889***

−0.060***

−126.176***

0.111***

0.084***

 

(−10.55)

(4.25)

 

(9.53)

(−2.81)

(−12.67)

(3.80)

(11.06)

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

Pooled

−12.834***

14.706***

0.103***

2.595***

−0.501***

−288.112***

1.720***

0.204***

 

(−11.96)

(22.80)

(35.88)

(9.53)

(−6.83)

(−13.10)

(19.81)

(17.45)

GEM

−7.897***

14.587***

0.096***

5.098***

−1.113***

−203.937***

1.710***

0.168***

 

(−5.40)

(10.86)

(20.75)

(4.02)

(−3.90)

(−5.67)

(13.40)

(9.12)

MBM

−23.436***

11.713***

0.111***

2.909***

−0.456***

−503.894***

1.979***

0.294***

 

(−11.70)

(6.79)

(17.36)

(11.79)

(−9.68)

(−10.91)

(8.04)

(14.24)

SME

−12.433***

14.276***

0.103***

2.945***

−0.702***

−235.608***

1.563***

0.211***

 

(−7.24)

(18.86)

(22.97)

(5.13)

(−5.31)

(−7.94)

(11.89)

(11.70)