Table 13 Efficiency Conditional β-convergence of Pakistan’s Banking Industry during 2006–2020.

From: Analysing the impact of digital technology diffusion on the efficiency and convergence process of the commercial banking industry of Pakistan

  

(1)

(2)

(3)

(4)

Decision

Hypothesis

Variables

\(\Delta {\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}}\)

\(\Delta {\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}}\)

\(\Delta {\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}}\)

\(\Delta {\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}}\)

Two-step DPDSYS-GMM

 

\(\Delta {\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}-1}\)

0.0586 (0.0590)

0.0598 (0.0587)

0.0507 (0.0630)

0.0540 (0.0612)

 

H5a

\({\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}-1}\)

−0.8169*** (0.1224)

−0.8290*** (0.1254)

−0.8111*** (0.1310)

−0.8045*** (0.1256)

Accepted

Bank-Specific Digitalisation Factor

     

H5d

DIG INDEX

0.0118** (0.0052)

0.0117** (0.0053)

0.0123** (0.0055)

0.0121** (0.0054)

Accepted

Country-Specific Digitalisation Factors

H5e

DICTA Index

−0.0179 (0.0261)

−0.0526** (0.0233)

−0.0180 (0.0265)

−0.0251 (0.0259)

Rejected

 

DICTA Index*SCBs

−0.0478** (0.0172)

    
 

DICTA Index*PSBs

 

0495** (0.0204)

   
 

DICTA Index*SPBs

  

−0.0419 (0.0397)

  
 

DICTA Index*FBs

   

−0.0038 (0.0165)

 

H5f

DICTU Index

0.0203* (0.0109)

0.0212* (0.0110)

0.0215** (0.0108)

0.0202* (0.0109)

Accepted

Bank-Specific Control Factors

 

lnCIR

−0.0848** (0.0388)

−0.0885** (0.0387)

−0.0909** (0.0403)

−0.0838** (0.0389)

 
 

SIZE

0.0615** (0.0218)

0.0602** (0.0208)

0.0594** (0.0217)

0.0591** (0.0222)

 
 

LGR

0.0002** (8.32e5)

0.0002** (9.39e5)

0.0002** (8.96e5)

0.0002** 8.42e5

 
 

LLPTNPL

0.0006** (0.0002)

0.0006** (0.0002)

0.0006** (0.0002)

0.0006** (0.0002)

 
 

NPLTTL

0.0004 (0.0002)

0.0002 (0.0003)

0.0002 (0.0003)

0.0004** (0.0003)

 
 

lnHR

−0.0081 (0.0187)

−0.0059 (0.0185)

−0.0076 (0.0181)

−0.0071 (0.0188)

 

Macroeconomic Control Factors

 

M2_GR

0.0039* (0.0022)

0.0039* (0.0022)

0.0039* (0.0022)

0.0039* (0.0022)

 
 

INFRATE

−0.0015 (0.0031)

−0.0013 (0.0032)

−0.0014 (0.0033)

−0.0016 (0.0031)

 
 

GDPGR

0.0096** (0.0033)

0.0093** (0.0034)

0.0092** (0.0034)

0.0095** (0.0033)

 
 

\({\rm{YEA}}{{\rm{R}}}_{{\rm{DUMMIES}}}\)

YES

YES

YES

YES

 
 

Constant

−1.0920** (0.3985)

−1.0700** (0.3913)

−1.0226** (0.4155)

−1.0562** (0.4164)

 
 

Arellano-Bond AR(1) Test in first differences

−3.70

−3.73

−3.60

−3.63

 
 

Pr > z

0.000

0.000

0.000

0.000

 
 

Arellano-Bond AR(2) Test in first differences

1.61

1.54

1.44

1.56

 
 

Pr > z

0.108

0.123

0.151

0.118

 
 

Sargan Test of Overid. Restrictions

2.94

3.32

4.02

3.27

 
 

Prob > \({\chi }^{2}\)

0.401

0.346

0.260

0.351

 
 

Hansen Test of Overid. Restrictions

1.64

1.87

2.09

1.77

 
 

Prob > \({\chi }^{2}\)

0.651

0.600

0.554

0.622

 
 

Wald \({\chi }^{2}\)

1508.68***

1194.41***

760.60***

2293.79***

 
 

No. of Instruments

26

26

26

26

 
 

No. of Banks

29

29

29

29

 
 

No. of observations

377

377

377

377

 
  1. \(\Delta {\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}}\); banking efficiency growth rate, \(\Delta {\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}-1}\); first lag of banking efficiency growth rate, \({\rm{Ln}}{{\rm{Eff}}}_{{\rm{i}},{\rm{t}}-1}\); initial level of banking efficiency, lnABTR natural logarithm of total number of ATM based transactions, lnIBTR natural logarithm of total number internet based transactions, lnPOSBTR natural logarithm of total number point of sale based transactions, DIG INDEX Digitalisation Index constructed using principal component analysis (PCA) based on lnABTR, lnIBTR and lnPOSBTR, DICTA Index digital information and communication technology availability index is based on natural logarithm of fixed broad band subscribers per hundred, DICTU Index digital information and communication technology utilisation index is created using principal component analysis (PCA) based on natural logarithm of mobile cellphone subscribers per hundred and fixed telephone subscribers per thousand, lnCIR Natural logarithm of cost-to-income ratio, SIZE Natural logarithm of total assets, LGR Loans growth ratio, LLPTNPL Loan loss provisions to nonperforming loans ratio, NPLTTL Non performing loans to total loans ratio, lnHR Natural logarithm of total number of employees, M2_GR M2 money supply growth rate, INFRATE Inflation rate, GDPGR Gross domestic product growth rate, SCBs state controlled banks = 1 otherwise = 0, PSBs private sector banks = 1 otherwise = 0, SPBs special purpose banks = 1 otherwise = 0; FBs foreign banks = 1 otherwise = 0, Windmeijer finite-sample corrected standard errors are in parentheses.
  2. ***p < 0.01, **p < 0.05, *p < 0.1.