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PEFORMANCE BENCHMARKING OF FOREIGN
BANKS-A BILATERAL COMPARISON
DR.RAM PRATAP SINHA
ASSOCIATE PROFESSOR OF ECONOMICS
GOVERNMENT COLLEGE OF ENGINEERING AND LEATHER
TECHNOLOGY
LB BLOCK, SALT LAKE, SECTOR-III,KOLKATA-700098
E Mail:rampratapsinha39@gmail.com
The Background
• Commercial banking in pre-independent India commenced with the establishment
British owned foreign banks during the 1840s and 1850s. Banks from countries like
France, Germany, US and Japan also entered in the Indian market. This trend persisted
during the pre-independence phase. Thus at the time of independence, foreign banks
occupied commanding heights of the Indian economy.occupied commanding heights of the Indian economy.
• However, during the first four decades of independent India, the relative importance
of foreign banks in the Indian banking sector diminished considerably due to the
policy stance taken by the government as well as the Reserve Bank of India. The
market share of foreign banks in the deposit market declined from 8.3 per cent to
4.16 per cent and in respect of loans and advances from 8.56 percent to 2.8 per cent.
Resurgence of Foreign Banks in India
• The operation of foreign banks got a fresh boost in the post 1992
phase as a fall out of the initiation of banking sector reform and
commitments given by the Indian government to open up its
banking sector to the foreign participants in a gradual fashion.banking sector to the foreign participants in a gradual fashion.
• During this period, the operation of indigenous private sector
commercial banks also had a significant growth following the
announcement of new entry policies towards private sector banks
in 1993 and 2001.
Relaxed Entry Norms
• Since the 1990s the Government of India / R.B.I. initiated a slew of measures
which benefited the business prospects of foreign banks in India.
• A major relaxation for the foreign banks came in the form of liberalization of
entry norms. In the initial provisions of Financial Services Agreement
(December 1994), India permitted foreign bank presence only through
branches at the rate of five licenses per year. An ATM outside the branch
premises was treated as a branch. What is even more important was that
India’s offers were based on reciprocity.India’s offers were based on reciprocity.
• However, in December 1997, during the final round of negotiations relating
to financial services agreement India made the following commitments:
• (a) The MFN exemption was deleted in respect of all areas of financial
services.
• (b) The limit on the number of bank licences granted per year was raised
from eight to 12 while keeping the market share unchanged at 15 per cent
for foreign banks. Now the market share was computed on the basis of both
on- and off-balance sheet items. Moreover, licences issued for ATMs
installed by foreign banks were not included in the ceiling of 12 licences.
2004 Guidelines
• In March 2004, the Government of India revised the then existing guidelines on foreign
direct investment (FDI) in the banking sector. The revised guidelines also included
investment by non-resident Indians (NRIs) and FIIs in the banking sector.
• As per the revised (2004) guidelines, the aggregate foreign investment from all sources
was allowed up to a cap of 74 per cent of the paid up capital of the bank and the resident
Indian holding of the capital was to be at least 26 per cent. The revised also stipulated that
foreign banks may operate in India through only one of the three channels, namely (i)
branches (ii) a Wholly owned Subsidiary or (iii) a subsidiary with an aggregate foreign
investment up to a maximum of 74 per cent in a private bank.
Road Map for Presence (2005)
• In February 2005, the RBI in consultation with the Government of India,
released the road map for presence of foreign banks in India. The
roadmap was framed with the objective of implementation of the
guidelines. The roadmap permitted the foreign banks to establish
presence in the Indian market by either setting up a wholly owned
banking subsidiary (WOS) or conversion of the existing branches into a
WOS. The RBI also issued detailed guidelines for setting up/conversion
process.process.
• The guidelines covered, inter alia, the eligibility criteria of the applicant
foreign banks encompassing ownership pattern, financial soundness,
supervisory rating and the international ranking. The WOS is to have a
minimum capital requirement of Rs. 300 crore, i.e., Rs 3 billion and
would need to ensure sound corporate governance. The WOS is treated
on par with the existing branches of foreign banks for branch expansion
with flexibility to go beyond the existing WTO commitments of 12
branches in a year and preference for branch expansion in under-banked
areas.
2011 Discussion Paper
Revised Caps:
The discussion paper proposed that when the capital and reserves of the foreign
banks inIndia including WOS and branches exceed 25% of the capital of the
banking system, restrictions would be placed on (i) further entry of new foreign
banks, (ii) branch expansion in Tier I and Tier II centres of WOS and (iii) capital
infusion into the WOS – this will require RBI’s prior approval. Presently, the capinfusion into the WOS – this will require RBI’s prior approval. Presently, the cap
exists in the form of 15% of the assets (both on balance sheet as well as off-
balance sheet items) of the banking system.
Revised Priority Sector Lending Norms:
The RBI has issued revised priority sector lending norm for the foreign banks
which suggest that while the foreign banks with less than 20 branches in India
will continue to get preferential treatments in respect of priority sector lending,
banks with more than 20 branches would have to fulfil same priority sector
lending requirement as that of domestic banks.
Foreign Banks in India: A Snapshot View
Particulars 2006-07 2007-08 2008-09 2009-10 2010-11
No of banks 29 28 31 32 33
No. of offices 272 277 295 308 316
No. of
employees
28426 31301 29582 28012 27968
employees
Business per
employee
(in Rs Lakh)
974.77 1125.50 1282.74 1411.39 1559.74
Profit per
employee
(in Rs Lakh)
16.13 21.12 25.39 16.92 27.59
Return on
Assets
2.28 2.09 1.99 1.26 1.74
CRAR 12.39 13.05 14.32 17.26 16.72
Net NPA Ratio 0.73 0.77 1.81 1.82 0.67
Private Banks in India: A Snapshot View
Particulars 2006-07 2007-08 2008-09 2009-10 2010-11
No of banks 25 23 22 22 21
No. of offices 7322 8325 9241 10452 11968
No. of
employees
139054 158823 176339 182520 218679
Business perBusiness per
employee
(in Rs Lakh)
695.23 751.42 743.85 797.31 823.26
Profit per
employee
(in Rs Lakh)
4.65 6.00 6.16 7.18 8.10
Return on
Assets
1.02 1.13 1.13 1.28 1.43
CRAR 12.01 14.34 15.23 17.43 16.46
Net NPA Ratio 0.97 1.09 1.29 1.03 0.56
Objective of the Study
• In the context of growing presence of foreign and indigenous private sector
commercial banks in the Indian banking scene, the present study makes a
bilateral comparison of performance of these two category of banks.
• Conceptually the analysis is based on the concept of distance function first
coined by Shephard (1953,1970) provide a functional characterisation of thecoined by Shephard (1953,1970) provide a functional characterisation of the
structure of production technology. The input set of the production technology is
characterised by the input distance function which gives the maximum amount
by which the producer’s input vector can be radially contracted. The output set,
on the other hand, is characterised by the output distance function which gives
the minimum amount by which the producer’s output vector can be deflated and
yet remain feasible for a given input vector.
Output Distance Function
Input Distance Function
Estimation of Distance Function
• There are several approaches to the estimation of input and
output distance functions:
(i) Stochastic Frontier Analysis
(ii) Data Envelopment Analysis
(iii) Free Disposal Hull Analysis
• The present study uses DEA. However, the model used is
slightly different from the model commonly used.
The BCC Model for Data Envelopment Analysis
The Banker-Charnes-Cooper (1984) model introduced performance
benchmarking of productive entities based on local technology. In order
to provide an extremely brief review of the model, let us consider a
productive firm which produces a scalar output Y from a bundle of k
inputs x=(x1, x2, …, xk).Let (xi, yi) be the observed input-out bundle of
firm i (i=1, 2, …,n). The technology used by the firm is defined by the
production possibility set- Ps = {(x, y) : y can be produced from x }
An input-output combination (x0, y0) is feasible if and only if (x0, y0) ∈∈∈∈Ps
BCC Optmisation Program
We assume the firm to be input minimiser given the level of output(s).The firm’s
optimization exercise can be written as:
Min θ
Subject to: θ x0≥ Xλ , y0 ≤ Yλ, ,eλ=1,λ≥0
If we write the production function as: Y=f(X) → X=f-1(Y). Let X* represent the miniimumIf we write the production function as: Y=f(X) → X=f-1(Y). Let X* represent the miniimum
input corresponding to a given level of output (say Yf ). In the presence of technical
inefficiency X0≤X* where X* represents optimal input. Technical efficiency of the firm is
Optimal input usage / Actual input usage = X* /X0=1/ θ
A characteristic feature of the BCC envelopment model is that the technical efficiency varies
between 0 and 1. This is because the data set which is used to evaluate the observed firm
includes the firm’s data also.
DEA Based Comparison of Different Systems
• One of the basic assumptions of the traditional DEA models is that the
underlying production possibility set is convex. The immediate implication of this
is that if two activities (x1,y1) and (x2,y2) belong to Ps then every point on the line
segment joining the aforementioned two activities also belong to Ps.
• However, there are cases where this assumption is not valid. In particular,
problems may arise when the decision making units belong to two different
systems. For example, the activities (x1,y1) and (x2,y2) may be accomplished by
using different kinds of instruments. Consequently, any activity which is basically
an weighted average of the two may not be feasible.
Comparison of Efficiency Between Two Systems
• For the purpose of comparison of DMUs corresponding to the two
different systems (say A and B), the inputs are divided in to Xa and Xb and
the outputs in to Ya and Yb. The convexity assumption holds within the
same system but not across systems.
• The DMUs corresponding to the two systems are now evaluated using a
bilateral comparison framework. The distinguishing feature of the
bilateral comparison framework is that when DMUs belonging to a
particular system (say system A) are evaluated, the data set from which
the benchmark is constructed does not include DMUs included in that
system (here system A).
The Optimisation Program
The technical efficiency score for any observed DMU
‘a’ (which is a member of system A) is computed
from the following optimization program:
Min θMin θ
∑xjλj ≤ θxa , yjλj ≥ ya
λj ≥ 0, j ϵ B
Then Technical Efficiency θ = ∑ xjλj /xa
Similar procedure may be adopted for any observed
DMU included in system B.
Rank Sum Test of Efficiency Scores
• In the present context, we can use the Rank-Sum Test for comparing the
distribution of efficiency scores of the in-sample DMUs pertaining to the two
systems: A and B.The test is based on the ranking of data.
• Let the data pertaining to two groups of observation be represented by A={a1,
a2,…..,ap} and B={b1, b2,……,bq}.Now we form a new sequence C by merging A and
B in which the data are arranged in descending order. C is now ranked from 1 to
R(=p+q). If there is a tie, the mid rank is used for the tied observation. Next, the
A’s rank data are summed. Let the resultant figure be S.A’s rank data are summed. Let the resultant figure be S.
• The statistic S, follows an approximately normal distribution with mean
p(p+q+1)/2 and variance pq(p=q+1)/12 for m,n 10.By normalizing S, we have:
Z=[S- p(p+q+1)/2]/√ pq(p=q+1)/12
• Z has an approximately standard normal distribution. Using Z, we can test the
normal hypothesis that the two groups have same distribution against the
alternative hypothesis at a significance level α. The null hypothesis is rejected if Z
-Z α/2 or Z Z α/2.Here Z α/2 correspond to the upper α/2 percentile of the standard
normal distribution.
Selection of Outputs/Inputs
• There are at least three approaches used for defining the outputs/inputs
of the banking industry.
• The production approach [due to Benston (1965) and Bell and Murphy
(1968)] considers indicators like the number of accounts, number of
transactions etc. Most of the researchers following this approach have
taken deposits and loans etc as outputs of the banking industry
produced by inputs like labour and physical capital.
The intermediation approach [ advanced by Benston, Hanweck and• The intermediation approach [ advanced by Benston, Hanweck and
Humphrey (1982) ] focused on net interest margin (difference between
interest earned and interest expended).
• The risk management approach [Huges and Mester (1993, 1994)]
considers risk management and intermediation processing activities as
the prime outputs of commercial banks. On the expense side, deposit
servicing cost, labour cost and fixed capital related over heads constitute
the major expenses on inputs by banks. Some have also taken branches
maintained by commercial banks as one of the inputs.
Framework of the Present Study
• The present study takes an eclectic view of the banking industry
and considers two outputs: Business (=Deposits plus Advances)
and Other Income and one input: Operating Expenses of the
commercial banks.commercial banks.
• The data corresponding to the output and input indicators relate
to the five year span: 2006-07 to 2010-11.
• The data relating to the inputs and outputs used in the study have
been collected from the Indian Banks’ Association website.
Descriptive Statistics of the Results
Particulars 2006-07 2007-08 2008-09 2009-10 2010-11
No of Foreign
Banks
16 16 16 16 16
No of Private
Banks
20 20 20 20 20
Mean
Technical
Efficiency (FB)
2.1255 2.0404 1.6497 1.7063 2.1974
Mean
Technical
Efficiency
(PB)
1.1768 1.1679 1.9271 1.3596 1.2800
CV (FB) 67.68 64.25 65.50 81.56 70.45
CV (PB) 46.29 61.56 62.86 51.21 51.10
Statistical Inference
Particulars 2006-07 2007-08 2008-09 2009-10 2010-11
Rank Sum
Statistics for
Foreign banks
226 228 327 288 255
Rank Sum
Statistics for
Private banks
440 438 339 378 411
Test Statistics -2.2285 -2.1648 0.9869 -0.2547 -1.30526Test Statistics -2.2285 -2.1648 0.9869 -0.2547 -1.30526
Standard
Normal
Distribution
0.012924 0.0152 0.1618 0.3995 0.095901
Inference
drawn
Null hypothesis
is rejected at a
confidence
level of 2.58%
Null hypothesis
is rejected at a
confidence
level of 3.04%
Null hypothesis
can not be
rejected at 10%
level of
confidence
Null hypothesis
can not be
rejected at 10%
level of
confidence
Null hypothesis
can not be
rejected at 10%
level of
confidence
Performance of
Foreign banks
relative to the
private banks
Foreign banks
out perform
private banks
Foreign banks
out perform
private banks
No definite
conclusion
No definite
conclusion
No definite
conclusion
Implications
• While during the first two years of observation (2006-07 and 2007-08)
the banks included in the category ‘Foreign Banks’ outperformed the
banks included in the category ‘Private Sector Banks’, no definite
conclusion could be made for the next three years.
• This is because the gap observed in respect of rank sum has narrowed
down in the latter years (relative to the earlier years). Thus the evidence
is suggestive of a converging trend in terms of performance in respect of
the two groups of banks.
THANK YOUTHANK YOU

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Rps iift2013-foreign banks

  • 1. PEFORMANCE BENCHMARKING OF FOREIGN BANKS-A BILATERAL COMPARISON DR.RAM PRATAP SINHA ASSOCIATE PROFESSOR OF ECONOMICS GOVERNMENT COLLEGE OF ENGINEERING AND LEATHER TECHNOLOGY LB BLOCK, SALT LAKE, SECTOR-III,KOLKATA-700098 E Mail:rampratapsinha39@gmail.com
  • 2. The Background • Commercial banking in pre-independent India commenced with the establishment British owned foreign banks during the 1840s and 1850s. Banks from countries like France, Germany, US and Japan also entered in the Indian market. This trend persisted during the pre-independence phase. Thus at the time of independence, foreign banks occupied commanding heights of the Indian economy.occupied commanding heights of the Indian economy. • However, during the first four decades of independent India, the relative importance of foreign banks in the Indian banking sector diminished considerably due to the policy stance taken by the government as well as the Reserve Bank of India. The market share of foreign banks in the deposit market declined from 8.3 per cent to 4.16 per cent and in respect of loans and advances from 8.56 percent to 2.8 per cent.
  • 3. Resurgence of Foreign Banks in India • The operation of foreign banks got a fresh boost in the post 1992 phase as a fall out of the initiation of banking sector reform and commitments given by the Indian government to open up its banking sector to the foreign participants in a gradual fashion.banking sector to the foreign participants in a gradual fashion. • During this period, the operation of indigenous private sector commercial banks also had a significant growth following the announcement of new entry policies towards private sector banks in 1993 and 2001.
  • 4. Relaxed Entry Norms • Since the 1990s the Government of India / R.B.I. initiated a slew of measures which benefited the business prospects of foreign banks in India. • A major relaxation for the foreign banks came in the form of liberalization of entry norms. In the initial provisions of Financial Services Agreement (December 1994), India permitted foreign bank presence only through branches at the rate of five licenses per year. An ATM outside the branch premises was treated as a branch. What is even more important was that India’s offers were based on reciprocity.India’s offers were based on reciprocity. • However, in December 1997, during the final round of negotiations relating to financial services agreement India made the following commitments: • (a) The MFN exemption was deleted in respect of all areas of financial services. • (b) The limit on the number of bank licences granted per year was raised from eight to 12 while keeping the market share unchanged at 15 per cent for foreign banks. Now the market share was computed on the basis of both on- and off-balance sheet items. Moreover, licences issued for ATMs installed by foreign banks were not included in the ceiling of 12 licences.
  • 5. 2004 Guidelines • In March 2004, the Government of India revised the then existing guidelines on foreign direct investment (FDI) in the banking sector. The revised guidelines also included investment by non-resident Indians (NRIs) and FIIs in the banking sector. • As per the revised (2004) guidelines, the aggregate foreign investment from all sources was allowed up to a cap of 74 per cent of the paid up capital of the bank and the resident Indian holding of the capital was to be at least 26 per cent. The revised also stipulated that foreign banks may operate in India through only one of the three channels, namely (i) branches (ii) a Wholly owned Subsidiary or (iii) a subsidiary with an aggregate foreign investment up to a maximum of 74 per cent in a private bank.
  • 6. Road Map for Presence (2005) • In February 2005, the RBI in consultation with the Government of India, released the road map for presence of foreign banks in India. The roadmap was framed with the objective of implementation of the guidelines. The roadmap permitted the foreign banks to establish presence in the Indian market by either setting up a wholly owned banking subsidiary (WOS) or conversion of the existing branches into a WOS. The RBI also issued detailed guidelines for setting up/conversion process.process. • The guidelines covered, inter alia, the eligibility criteria of the applicant foreign banks encompassing ownership pattern, financial soundness, supervisory rating and the international ranking. The WOS is to have a minimum capital requirement of Rs. 300 crore, i.e., Rs 3 billion and would need to ensure sound corporate governance. The WOS is treated on par with the existing branches of foreign banks for branch expansion with flexibility to go beyond the existing WTO commitments of 12 branches in a year and preference for branch expansion in under-banked areas.
  • 7. 2011 Discussion Paper Revised Caps: The discussion paper proposed that when the capital and reserves of the foreign banks inIndia including WOS and branches exceed 25% of the capital of the banking system, restrictions would be placed on (i) further entry of new foreign banks, (ii) branch expansion in Tier I and Tier II centres of WOS and (iii) capital infusion into the WOS – this will require RBI’s prior approval. Presently, the capinfusion into the WOS – this will require RBI’s prior approval. Presently, the cap exists in the form of 15% of the assets (both on balance sheet as well as off- balance sheet items) of the banking system. Revised Priority Sector Lending Norms: The RBI has issued revised priority sector lending norm for the foreign banks which suggest that while the foreign banks with less than 20 branches in India will continue to get preferential treatments in respect of priority sector lending, banks with more than 20 branches would have to fulfil same priority sector lending requirement as that of domestic banks.
  • 8. Foreign Banks in India: A Snapshot View Particulars 2006-07 2007-08 2008-09 2009-10 2010-11 No of banks 29 28 31 32 33 No. of offices 272 277 295 308 316 No. of employees 28426 31301 29582 28012 27968 employees Business per employee (in Rs Lakh) 974.77 1125.50 1282.74 1411.39 1559.74 Profit per employee (in Rs Lakh) 16.13 21.12 25.39 16.92 27.59 Return on Assets 2.28 2.09 1.99 1.26 1.74 CRAR 12.39 13.05 14.32 17.26 16.72 Net NPA Ratio 0.73 0.77 1.81 1.82 0.67
  • 9. Private Banks in India: A Snapshot View Particulars 2006-07 2007-08 2008-09 2009-10 2010-11 No of banks 25 23 22 22 21 No. of offices 7322 8325 9241 10452 11968 No. of employees 139054 158823 176339 182520 218679 Business perBusiness per employee (in Rs Lakh) 695.23 751.42 743.85 797.31 823.26 Profit per employee (in Rs Lakh) 4.65 6.00 6.16 7.18 8.10 Return on Assets 1.02 1.13 1.13 1.28 1.43 CRAR 12.01 14.34 15.23 17.43 16.46 Net NPA Ratio 0.97 1.09 1.29 1.03 0.56
  • 10. Objective of the Study • In the context of growing presence of foreign and indigenous private sector commercial banks in the Indian banking scene, the present study makes a bilateral comparison of performance of these two category of banks. • Conceptually the analysis is based on the concept of distance function first coined by Shephard (1953,1970) provide a functional characterisation of thecoined by Shephard (1953,1970) provide a functional characterisation of the structure of production technology. The input set of the production technology is characterised by the input distance function which gives the maximum amount by which the producer’s input vector can be radially contracted. The output set, on the other hand, is characterised by the output distance function which gives the minimum amount by which the producer’s output vector can be deflated and yet remain feasible for a given input vector.
  • 13. Estimation of Distance Function • There are several approaches to the estimation of input and output distance functions: (i) Stochastic Frontier Analysis (ii) Data Envelopment Analysis (iii) Free Disposal Hull Analysis • The present study uses DEA. However, the model used is slightly different from the model commonly used.
  • 14. The BCC Model for Data Envelopment Analysis The Banker-Charnes-Cooper (1984) model introduced performance benchmarking of productive entities based on local technology. In order to provide an extremely brief review of the model, let us consider a productive firm which produces a scalar output Y from a bundle of k inputs x=(x1, x2, …, xk).Let (xi, yi) be the observed input-out bundle of firm i (i=1, 2, …,n). The technology used by the firm is defined by the production possibility set- Ps = {(x, y) : y can be produced from x } An input-output combination (x0, y0) is feasible if and only if (x0, y0) ∈∈∈∈Ps
  • 15. BCC Optmisation Program We assume the firm to be input minimiser given the level of output(s).The firm’s optimization exercise can be written as: Min θ Subject to: θ x0≥ Xλ , y0 ≤ Yλ, ,eλ=1,λ≥0 If we write the production function as: Y=f(X) → X=f-1(Y). Let X* represent the miniimumIf we write the production function as: Y=f(X) → X=f-1(Y). Let X* represent the miniimum input corresponding to a given level of output (say Yf ). In the presence of technical inefficiency X0≤X* where X* represents optimal input. Technical efficiency of the firm is Optimal input usage / Actual input usage = X* /X0=1/ θ A characteristic feature of the BCC envelopment model is that the technical efficiency varies between 0 and 1. This is because the data set which is used to evaluate the observed firm includes the firm’s data also.
  • 16. DEA Based Comparison of Different Systems • One of the basic assumptions of the traditional DEA models is that the underlying production possibility set is convex. The immediate implication of this is that if two activities (x1,y1) and (x2,y2) belong to Ps then every point on the line segment joining the aforementioned two activities also belong to Ps. • However, there are cases where this assumption is not valid. In particular, problems may arise when the decision making units belong to two different systems. For example, the activities (x1,y1) and (x2,y2) may be accomplished by using different kinds of instruments. Consequently, any activity which is basically an weighted average of the two may not be feasible.
  • 17. Comparison of Efficiency Between Two Systems • For the purpose of comparison of DMUs corresponding to the two different systems (say A and B), the inputs are divided in to Xa and Xb and the outputs in to Ya and Yb. The convexity assumption holds within the same system but not across systems. • The DMUs corresponding to the two systems are now evaluated using a bilateral comparison framework. The distinguishing feature of the bilateral comparison framework is that when DMUs belonging to a particular system (say system A) are evaluated, the data set from which the benchmark is constructed does not include DMUs included in that system (here system A).
  • 18. The Optimisation Program The technical efficiency score for any observed DMU ‘a’ (which is a member of system A) is computed from the following optimization program: Min θMin θ ∑xjλj ≤ θxa , yjλj ≥ ya λj ≥ 0, j ϵ B Then Technical Efficiency θ = ∑ xjλj /xa Similar procedure may be adopted for any observed DMU included in system B.
  • 19. Rank Sum Test of Efficiency Scores • In the present context, we can use the Rank-Sum Test for comparing the distribution of efficiency scores of the in-sample DMUs pertaining to the two systems: A and B.The test is based on the ranking of data. • Let the data pertaining to two groups of observation be represented by A={a1, a2,…..,ap} and B={b1, b2,……,bq}.Now we form a new sequence C by merging A and B in which the data are arranged in descending order. C is now ranked from 1 to R(=p+q). If there is a tie, the mid rank is used for the tied observation. Next, the A’s rank data are summed. Let the resultant figure be S.A’s rank data are summed. Let the resultant figure be S. • The statistic S, follows an approximately normal distribution with mean p(p+q+1)/2 and variance pq(p=q+1)/12 for m,n 10.By normalizing S, we have: Z=[S- p(p+q+1)/2]/√ pq(p=q+1)/12 • Z has an approximately standard normal distribution. Using Z, we can test the normal hypothesis that the two groups have same distribution against the alternative hypothesis at a significance level α. The null hypothesis is rejected if Z -Z α/2 or Z Z α/2.Here Z α/2 correspond to the upper α/2 percentile of the standard normal distribution.
  • 20. Selection of Outputs/Inputs • There are at least three approaches used for defining the outputs/inputs of the banking industry. • The production approach [due to Benston (1965) and Bell and Murphy (1968)] considers indicators like the number of accounts, number of transactions etc. Most of the researchers following this approach have taken deposits and loans etc as outputs of the banking industry produced by inputs like labour and physical capital. The intermediation approach [ advanced by Benston, Hanweck and• The intermediation approach [ advanced by Benston, Hanweck and Humphrey (1982) ] focused on net interest margin (difference between interest earned and interest expended). • The risk management approach [Huges and Mester (1993, 1994)] considers risk management and intermediation processing activities as the prime outputs of commercial banks. On the expense side, deposit servicing cost, labour cost and fixed capital related over heads constitute the major expenses on inputs by banks. Some have also taken branches maintained by commercial banks as one of the inputs.
  • 21. Framework of the Present Study • The present study takes an eclectic view of the banking industry and considers two outputs: Business (=Deposits plus Advances) and Other Income and one input: Operating Expenses of the commercial banks.commercial banks. • The data corresponding to the output and input indicators relate to the five year span: 2006-07 to 2010-11. • The data relating to the inputs and outputs used in the study have been collected from the Indian Banks’ Association website.
  • 22. Descriptive Statistics of the Results Particulars 2006-07 2007-08 2008-09 2009-10 2010-11 No of Foreign Banks 16 16 16 16 16 No of Private Banks 20 20 20 20 20 Mean Technical Efficiency (FB) 2.1255 2.0404 1.6497 1.7063 2.1974 Mean Technical Efficiency (PB) 1.1768 1.1679 1.9271 1.3596 1.2800 CV (FB) 67.68 64.25 65.50 81.56 70.45 CV (PB) 46.29 61.56 62.86 51.21 51.10
  • 23. Statistical Inference Particulars 2006-07 2007-08 2008-09 2009-10 2010-11 Rank Sum Statistics for Foreign banks 226 228 327 288 255 Rank Sum Statistics for Private banks 440 438 339 378 411 Test Statistics -2.2285 -2.1648 0.9869 -0.2547 -1.30526Test Statistics -2.2285 -2.1648 0.9869 -0.2547 -1.30526 Standard Normal Distribution 0.012924 0.0152 0.1618 0.3995 0.095901 Inference drawn Null hypothesis is rejected at a confidence level of 2.58% Null hypothesis is rejected at a confidence level of 3.04% Null hypothesis can not be rejected at 10% level of confidence Null hypothesis can not be rejected at 10% level of confidence Null hypothesis can not be rejected at 10% level of confidence Performance of Foreign banks relative to the private banks Foreign banks out perform private banks Foreign banks out perform private banks No definite conclusion No definite conclusion No definite conclusion
  • 24. Implications • While during the first two years of observation (2006-07 and 2007-08) the banks included in the category ‘Foreign Banks’ outperformed the banks included in the category ‘Private Sector Banks’, no definite conclusion could be made for the next three years. • This is because the gap observed in respect of rank sum has narrowed down in the latter years (relative to the earlier years). Thus the evidence is suggestive of a converging trend in terms of performance in respect of the two groups of banks.