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Table 16 Granger-causality test on volatility-to-liquidity at 10 liquidity levels

From: A theory of very short-time price change: security price drivers in times of high-frequency trading

Lag

F-value

p-value

Adj. R2

Null hypothesis of NO Granger causation

Volatility →  liquidity (10 levels)

    

1

5.66481

0.01731

0.00661

REJECT the null hypothesis at 5%

2

7.06459

0.00086

0.00737

REJECT the null hypothesis at 1%

3

5.91824

0.00049

0.00755

REJECT the null hypothesis at 1%

4

6.17625

0.00006

0.00823

REJECT the null hypothesis at 1%