The assessment of productive efficiency and the factors affecting the productive efficiency of commercial banks in the market economy are not an easy task as the bank efficiency is specific in relation to many entities and strong dependence on subjective and objective, direct and indirect determinants. In this study, the author utilized the model of Data Envelopment Analysis (DEA) to quantify the technical efficiency, then used regression model Tobit to assess factors affecting technical efficiency in the period of 2005 - 2011 of Vietnam Joint Stock Commercial Bank for Industry and Trade (VietinBank). In addition, the study used regression model with dependent variable ROA to assess the factors affecting the profitability of VietinBank. The results from the models were collected and analyzed to suggest some implications on improving productive efficiency of VietinBankin the coming time
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Fixed assets/Total asset has proportional
relation to EF. The increased rate would raise the tech-
nical efficiency and vice versa. It can be seen that
VietinBank's increased investment in fixed assets
would improve its efficiency. The machinery and
equipment will improve the bank's infrastructure and
facilitate the development of products and services to
best serve the clients.
* Testing factors affecting productive efficiency
by regression model with ROAdependent variables
- Statistical description of variables in regression
model with ROAdependent variables
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Table 4: Results of Tobit regression model
*;**;*** significant at 1%, 5%, 10%
(Source:Author's calculation byStata 13)
Variables DLR LOTA FATA TCTA
DLR -0.757***
(0.174)
LOTA 1.307***
(0.315)
FATA 60.68**
(20.92)
TCTA -6.710**
(2.163)
Constant 1.833*** -0.0826 0.252 1.453***
(0.225) (0.229) (0.221) (0.193)
LLL 3.86 4.15 1.330 2.463
Table 5: Statistical description of variables in regression model with ROA dependent variables
(Source:Author's calculation byStata 13)
Variables Mean Deviation Min Max
ROA 0.012136 0.005112 0.0039 0.0203
EQRE 0.062858 0.01626 0.041422 0.09382
LPNL 0.013816 0.008277 0.004758 0.031342
FATA 0.010684 0.002059 0.00731 0.013526
TRAD 7.615003 3.139801 4.176325 14.40462
SIZE 33.386 0.674638 32.38259 34.28965
The study described the variables in the model.
Accordingly, ROAaveraged at 1.21% with max value
of 2.03% and min of 0.39%. Other factors were also
presented as mean, deviation, min and max in the
table.
- Correlation matrix
The large correlation coefficient shows the
strong relation between variables. From the
results, ROAhas the strongest relation with SIZE -
Bank size (0.79), and weakest relation with LPNL (-
0.4095).It is necessary to use regression analysis to
evaluate the one-way impact of variables on ROA.
- Results of regression model
It is required to do some tests to
check the significant results.
a. Regression equation specification
error test
It showed that the equation model was suitable
with P-value = 0.1494 greater than 0.05. With the
result, hypothesis Howas accepted,so the linear equa-
tion was rational.
b. Heteroscedasticity test
White's test led to P-value= 0.3575 greater than
0.05. Therefore, hypothesis Ho was accepted and there
was no homoscedasticity in the model.
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Table 6: Correlation matrix of coefficient between variables
(Source:Author's calculation byStata 13)
Ramsey RESET test using powers of the fitted values of ROAA
Ho: model has no omistted variables
F (3,2) = 5.85
Prob > F = 0.1494
Variables ROA EQRE LPNL FATA TRAD SIZE
ROA 1
EQRE 0.5703 1
LPNL -0.4095 -0.1468 1
FATA 0.3716 0.2669 -0.614 1
TRAD -0.3868 -0.349 0.4036 -0.475 1
SIZE 0.7986 0.7402 -0.5213 0.2151 -0.166 1
Table 7: Results of regression model with ROA dependent variables
(Source: Author's calculation byStata 13)
ROA dependent
variables Coefficients
Standard
error T P>t
Confidence interval
95%
EQRE -0.29739 0.097742 -3.04 0.029 -0.54864 -0.04613
LPNL 0.582112 0.180001 3.23 0.023 0.119406 1.044818
FATA 1.407584 0.513214 2.74 0.041 0.088324 2.726843
TRAD -0.00087 0.000292 -2.97 0.031 -0.00162 -0.00012
SIZE 0.013486 0.002593 5.2 0.003 0.006819 0.020152
_cons -0.43588 0.085137 -5.12 0.004 -0.65473 -0.21703
Whites test for Ho: homoskedasticity
against Ha: unrestricted heteroskedasticity
chi2 (10) = 11.00
Prob > chi2 = 0.3575
c. Auto-correlation test
The test results showed P-value = 0.2382 greater
than 0.05, then we accepted hypothesis Ho and con-
cluded that the model did not have auto-correlation.
d. Multicollinearity
VIF < 10 showed that there was no multicollinear-
ity in the model, all variables could enter the model
simultaneously.
Analysis of regression model with ROA dependent
variables
EQRE coefficient - Equity/Total capitalhas oppo-
site effect on ROA with P-value < 0.05 and negative
beta coefficient. The negative effect of EQRE on pro-
ductive efficiency showed that the bank increased its
capital too rapidly without effective use of capital,
which reduces its efficiency.
LPNL - Loan loss provision/ Total loan has propor-
tional effect on ROA. VietinBank fulfilled its duties to
classify and provide for risks in order to form a strong
financial source for its operation and improve the effi-
ciency. Furthermore, the increased provision may
result from increased non-performing loan, but it can
be solved by other methods related to capital, technol-
ogy and labour. This helps increase the bank's produc-
tive efficiency.
FATA - Fixed asset/Total asset has positive effect
on ROA. The increased ratio of fixed assets on total
asset leads to the increase in productive efficiency, and
vice versa. It showed that VietinBank investment in
fixed assets promoted its efficiency.
Therefore, the facilities and equipment
help the bank create good infrastructure for
developing products and services and
improving its profitability.
TRAD - Interest income/Operating incomehas
opposite effect on ROA with the significance less than
0.05. VietinBank focused on interest income, which
led to a decrease in the productive efficiency.
Therefore, VietinBank should pay attention to other
products and services to increase its non-interest
income.
SIZE - Bank size (Logarithm of Total assets) has
positive effect on ROA with the significance of less
than 5%. It means that the increased bank size can
result in higher productive efficiency. However, it had
limited effect (0.013). Thus, VietinBankshould consid-
er before building expansion strategies to improve its
efficiency.
5. Conclusion
The regression results of Tobit model and regres-
sion model with ROA dependent variable showed that
(1) FATA - Fixed assets/ Total assets has positive effect
on technical efficiency (EF) and returns on assets
(ROA). Over the past few years, the investment in
fixed assets has increased VietinBank's efficiency and
it has been a right decision. (2) The effect of some fac-
tors on the efficiency of VietinBank showed that each
model had different factors and different influencing
levels. The testing results were supplemented and
combined the system of factors affecting the produc-
tive efficiency of VietinBank. (3) The results from two
supplementing models presented highly valued con-
clusions. Regarding ROA model, SIZE has positive
effect, which means the increase in size leads to the
increase in profitability, but the effect is still limited. In
addition, under DEA model, the bank had lowering
technical efficiency in returns to scale from 2010 to
2015. As the combined results from the two models,
VietinBank should carefully plan the expansion strate-
gy to increase its efficiency.
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Breusch-Godfrey LM test for autocorrelationg
H0: no serial correlation
lags (p) chi2 df Prob>chi2
1 1.391 1 0.2382
Variable VIF
SIZE 6.71
EQRE 5.54
LPNL 4.86
FATA 2.45
TRAD 1.85
Mean VIF 4.28
References:
1. Banker, R.D., Charnes, A. and Cooper, W.W.
(1984), "Some models for estimating technical and
scale inefficiencies in data envelopment analysis",
Management Science, Vol. 30, No. 9 September 1984.
2. Berger, N.A. and Humphrey, B.D. (1997),
"Efficiency of financial institutions: International sur-
vey and directions for future research", European
Journal of Operational Research 98 pp. 175-212.
3. Dawood, U. (2014), "Factors impacting prof-
itability of commercial banks in Pakistan for the peri-
od of (2009-2012)", MS Finance, University of Gujrat.
Pakistan, International Journal of Scientific and
Research Publications, Volume 4, Issue 3, March 2014.
4. Farrell, MJ (1957), "The measurement of pro-
ductive efficiency", Journal of the royal statistical soci-
ety (Series A), 120/3, pp. 253-281.
5. Tobin, J. (1958), "Estimation of relationships for
limited dependent variables", Econometrica 26(1), pp.
24-36.
6. Syafri (2012), "Factors affecting bank prof-
itability in Indonesia", The 2012 international confer-
ence on Business and Management.
Summary
Vieäc ñaùnh giaù hieäu quaû kinh doanh (HQKD) vaø
xem xeùt caùc yeáu toá taùc ñoäng ñeán HQKD cuûa ngaân
haøng thöông maïi (NHTM) trong neàn kinh teá thò
tröôøng laø noäi dung phöùc taïp vì hoaït ñoäng kinh doanh
cuûa ngaân haøng coù tính ñaëc thuø, lieân quan ñeán nhieàu
nhoùm chuû theå, phuï thuoäc nhieàu yeáu toá chuû quan vaø
khaùch quan, caùc yeáu toá coù theå taùc ñoäng tröïc tieáp hoaëc
giaùn tieáp. Taïi nghieân cöùu naøy, taùc giaû söû duïng moâ
hình bao döõ lieäu (DEA-Data Envelopment Analysis)
ñeå öôùc löôïng hieäu quaû kyõ thuaät, sau ñoù duøng moâ hình
hoài qui Tobit ñeå ñaùnh giaù caùc yeáu toá taùc ñoäng ñeán
hieäu quaû kyõ thuaät trong giai ñoaïn 2005-2011cuûa
Ngaân haøng thöông maïi coå phaàn Coâng Thöông Vieät
Nam (VietinBank). Ngoaøi ra, nghieân cöùu söû duïng moâ
hình hoài qui vôùi bieán phuï thuoäc ROA ñeå ñaùnh giaù caùc
yeáu toá taùc ñoäng ñeán hieäu quaû sinh lôøi cuûa
VietinBank. Keát quaû töø caùc moâ hình ñöôïc toång hôïp
ñaùnh giaù vaø haøm yù moät soá giaûi phaùp ñeå naâng cao
HQKD cuûa VietinBank trong thôøi gian tôùi.
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DANG THI MINH NGUYET
1. Personal Profile
- Name: Dang Thi Minh Nguyet
- Date of birth: August 17th 1981
- Title: Master
- Workplace: Thuongmai University
- Position: lecturer
2. Major research directions: Productive efficiency in commercial bank, finance and bank-
ing, securities.
3. Publications the author has published his works:
- Economy and Forecast Review
- Viet Nam Trade and Industry Review
- Trade Science Review
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