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Chapter 3
Methodology
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CHAPTER 3
METHODOLOGY
A systematic and careful analysis of information is inevitable in any research. In
order to obtain reliable results, it is essential to evolve scientific methods of data
collection and apply appropriate and reliable techniques for the analysis of information.
The methodology followed in the current study is discussed under the following heads:
3.1 DATA COLLECTION
The study is purely based on secondary data. The data for the study has been
collected from the RBI Bulletins, Reports on Trend and Progress of Banking in India,
Schedule of Commercial Banks in India, Report on Currency and Finance, Statistical
Tables relating to Banks in India which were published by the Statistical Department of
RBI. Further, for the purpose of analysis, detailed information is collected from books
relating to Commercial Banks, Journals, Magazines, and Unpublished Reports.
3.2 PERIOD OF THE STUDY
The study covers a period of ten financial years from 2002-03 to 2011-12. The
financial year starts from 1st day of April of a calendar year and ends on the 31st day of
March of next year.
3.3 SAMPLING DESIGN
Keeping in view the problem and the scope of the study, the researcher has
decided to include select Indian Scheduled Commercial Banks (Public, Private and
Foreign Banks) functioning in India for the financial period from 2002-03 to 2011-12. The
researcher selected banks based on the criteria that the banks should have maintained
its identity and reported its accounts without any gap for the ten consecutive financial
years 2002-03 to 2011-12. However, commercial banks which discontinued or started
their operation in the middle of the period under review were not considered. Screening
on the basis of this criterion led to the selection of a sample of 67 banks. The selected
banks were grouped into five categories; namely SBI group (6 Banks), Nationalised banks
group (20 Banks), Old private sector banks group (13 Banks), New private sector banks
group (5 Banks) and Foreign banks group (23 Banks). The Regional Rural Banks
(RRBs) and Co-operative Banks are not included in this study. The detailed list of banks
selected under each bank group is as follows:
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TABLE 2
LIST OF COMMERCIAL BANKS SELECTED FOR THE STUDY
BANK GROUPS S.No NAME OF THE BANKS
SBI GROUP (6)
1 State Bank of India
2 State Bank of Bikaner & Jaipur
3 State Bank of Hyderabad
4 State Bank of Mysore
5 State Bank of Patiala
6 State Bank of Travancore
NATIONALISED BANKS
GROUP (20)
7 Allahabad Bank
8 Andhra Bank
9 Bank of Baroda
10 Bank of India
11 Bank of Maharashtra
12 Canara Bank
13 Central Bank of India
14 Corporation Bank
15 Dena Bank
16 IDBI Bank Ltd
17 Indian Bank
18 Indian Overseas Bank
19 Oriental Bank of Commerce
20 Punjab & Sind Bank
21 Punjab National Bank
22 Syndicate Bank
23 UCO Bank
24 Union Bank of India
25 United Bank of India
26 Vijaya Bank
NEW PRIVATE SECTOR
BANKS GROUP (5)
27 Axis Bank
28 Development Credit Bank
29 HDFC Bank
30 ICICI Bank
31 IndusInd Bank
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OLD PRIVATE SECTOR
BANKS (13)
32 Catholic Syrian Bank
33 City Union Bank
34 Dhanlaxmi Bank
35 Federal Bank
36 ING Vysya Bank
37 Jammu & Kashmir Bank
38 Karnataka Bank
39 Karur Vysya Bank
40 Lakshmi Vilas Bank
41 Nainital Bank
42 Ratnakar Bank
43 South Indian Bank
44 Tamil Nad Mercantile Bank
FOREIGN BANKS GROUP
(23)
45 AB Bank
46 Abu Dhabi Commercial Bank
47 Antwerp Diamond Bank
48 Bank of America
49 Bank of Bahrain & Kuwait
50 Bank of Ceylon
51 Bank of Nova Scotia
52 Bank of Tokyo Mitsubishi UFJ
53 Barclays Bank
54 BNP Paribas
55 Chinatrust Commercial Bank
56 Citibank
57 DBS Bank
58 Deutsche Bank
59 Hongkong & Shanghai Banking Corporation
60 Krung Thai Bank
61 Mashreq Bank
62 Mizuho Corporate Bank
63 Oman International BanK
64 Societe Generale Bank
65 Sonali Bank
66 Standard Chartered Bank
67 State Bank of Mauritius
A total of 67 Scheduled Commercial Banks are selected for the study.
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3.4 TOOLS AND TECHNIQUES USED FOR DATA ANALYSIS
To draw meaningful inferences, a sound methodology accompanied by appropriate
tools and techniques of analysis is necessary.
3.4.1 To assess the financial performance of scheduled commercial banks
The performance of a bank can be measured by a number of indicators. Among
these, profitability and efficiency are the most important and reliable indicators as it give
a broad indication of the capability of bank to increase its earning. To assess the
financial performance and overall efficiency among the SBI Group, Nationalised banks
group, Old private sector banks group, New private sector banks group and Foreign
banks group, the study employs the following three methods viz.,
a) Summary Statistics
b) Ratio Analysis
c) Indexed Ratios
a) Ratio Analysis
Ratio analysis was carried on a CRAMEL basis to find out the actual
performance of the banks individually and collectively among its group. Six sets of
CRAMEL ratios have been employed for assessing the financial performance of
scheduled commercial banks, viz., Capital adequacy ratios (C), Resource Deployed
Ratios (R), Asset Quality Ratios (A), Management Efficiency Ratios (M), Earnings
Quality Ratios (E) and Liquidity Ratios (L). These ratios were calculated for the individual
banks for 10 year period of 2002-03 to 2011-12 and then the average of individual banks
was calculated year wise. Thereafter, from this individual figure the average ratios for the
group were calculated. Therefore, the calculated ratios reveal a true and fair
representation of each group. The study uses following ratios to assess the profitability,
efficiency and liquidity of select scheduled commercial banks in India.
i) Capital Adequacy Ratios (C)
The capital base of financial institutions facilitates depositors in forming their risk
perception about the institutions. It is the ratio which determines the capacity of the
banks in terms of meeting the liabilities and others. Capital adequacy ultimately
determines how well financial institutions can cope with shock to their balance sheets.
The ratios considered under this category are:
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1. Advances to Assets (C1),
2. Government Securities to Total Assets (C2),
3. Government Securities to Investment (C3),
4. Capital Adequacy ratio (C4) and
5. Debt-Equity ratio (C5).
ii) Resource deployed ratios (R)
Resource deployment ratio analysis makes the balance sheet of a bank more
noteworthy. This is arrived as the total proportion of resources deployed in liquid assets,
which generates relatively low yields. Five resource deployed ratios to be employed in
the present study are:
1. Investment to Assets (R1),
2. Other Assets to Total Assets (R2),
3. Credit-Deposit Ratio( R3),
4. Fixed Assets to Total Assets (R4) and
5. Investment - Deposit Ratio (R5).
iii) Asset quality ratios (A)
Asset quality determines the health of financial institutions against loss of value
in the assets. The solvency of financial institutions is typically at risk when their assets
become impaired. So it is important to monitor the quality of assets and hence the study
seeks to analyse the following asset quality ratios:
1. Return on Advances (A1),
2. Return on Investment (A2),
3. Non-Performing loans to Loans (A3),
4. Priority Sector Advances to Advances (A4) and
5. Interest Income to Assets (A5).
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iv) Management Efficiency ratios (M)
Management efficiency is another important dimension in CRAMEL Model. The
following ratios are considered to capture the possible dynamics of management
efficiency which affects the financial performance of the banks.
1. Profit per Employee (M1),
2. Business per Employee (M2),
3. Intermediation cost to Total assets (M3),
4. Business per branch (M4),
5. Return on Net worth (M5).
v) Earnings Quality ratios (E)
Strong earnings and profitability profile of banks reflects the ability to support
present and future operations. More specifically, this determines the capacity to absorb
losses, finance its expansion, pay dividends to its shareholders and build an adequate
level of capital. Being front line of defense against erosion of the capital base from
losses, the need for high earnings and profitability can hardly be overemphasized. The
following ratios measure earnings quality:
1. Spread or Net Interest Income to Total Assets (E1),
2. Burden to Total Assets (E2),
3. Operating profit to Total Assets (E3),
4. Return on assets (E4),
5. Interest Income to Total Income (E5) and
6. Non- Interest Income to Total Assets (E6).
vi) Liquidity ratios (L)
An adequate liquidity position refers to a situation, where institutions can obtain
sufficient funds, either increasing liabilities or by converting its assets quickly at a
reasonable cost. Inability of the banks to manage its short term liquidity liabilities and
loan commitments can adversely affect the performance of the banks by substantially
increasing its cost and over exposure to unrated asset category. Therefore, the following
ratios are used in this study to measure liquidity.
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1. Deposits to Total Assets (L1),
2. Liquid Assets to Total Assets (L2),
3. Liquid Assets to Demand Deposits (L3),
4. Liquid Assets to Total Deposits (L4),
5. Provisions and Contingencies to Total Assets (L5) and
6. Cash -Deposit Ratio (L6).
To get a better picture of the performance of banks, these ratios shall be
analyzed and interpreted by calculating Mean (X), Standard Deviation (S.D) and
Co-efficient of variation (C.V) at three levels:
- At the individual bank level, i.e., by computing X, S.D and C.V for each year
under the period of study.
- At the bank group level, i.e. by computing X, S.D and C.V for each bank
group under the period of study.
- At Industry level, i.e., by computing X, S.D and C.V at the industry level.
Summary Statistics
The above discussed CRAMEL ratios are analyzed with help of summary statistics
like arithmetic mean, standard deviation and coefficient of variation.
i) Arithmetic Mean
A measure of the central tendency of a data set, the mean is the average value
in a data set. It is determined by adding all the values and dividing the sum by the
number of values in the data set.
Xi Mean = ------
n
where i = 1, 2, 3…n,
n = number of samples
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ii) Standard Deviation
The Standard Deviation is less affected than the range by extreme and untypical
values. It is a very accurate measurement for showing how closely the values in a list
cluster around or diverge from the average. The standard deviation is lower if the values
cluster closely around the mean and becomes higher the more they diverge from it. For
the mathematically inclined, the Standard Deviation is defined as the square root of the
variance, or
Standard Deviation = n
)xx( 2
= Sum of squares of deviation taken from an arithmetic average
number of items.
iii) Co-efficient of Variation
The co-efficient of variation (CV) is a measure of dispersion of a probability
distribution. It is defined as the ratio of the standard deviation to the mean. The
coefficient of variation is a dimensionless number that allows comparison of the variation
of populations that have significantly different mean values. It is used in this study, to
check the consistency of the variables among the selected bank groups.
SD
CV = ------- 100 Mean
a) Overall financial performance based on Indexed Ratios
In order to judge the overall financial performance of SBI group, Nationalised
banks group, Old private sector banks group, New private sector banks group and
Foreign banks group, indices be applied by converting the ratios into an index form. To
compute these indices, at first, the respective ratios will be calculated over the period
from 2002-03 to 2011-12, then, these ratios shall be averaged bank-wise and the
respective indices are computed by the method given below:
Average ratio for the concerned bank group Index = ------------------------------------------------------------------------------------------ Average ratio for aggregate of all Indian Scheduled Commercial banks
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Further, the study seeks to classify the banks with regard to these financial
performance indices at four performances level viz., excellent, good, fair and poor.
‘Excellent’ performance level includes the banks lying at the top 25 per cent area of the
normal distribution i.e., where the growth index value is greater than (X + 0.6745σ).
‘Good’ performance category stands for banks whose growth index score lies between
50 -75 per cent area of the normal distribution, i.e., where the growth index value lies in
between X to (X + 0.6745σ). ‘Fair’ category includes those banks whose growth index
value lies in between 25 – 50 per cent area under normal curve i.e., where growth index
value between (X - 0.6745σ) to X. ‘Poor’ category comprises the banks which show
their growth index value lying at the bottom 25 per cent area of the normal distribution
i.e., where growth index value lies below (X - 0.6745σ) (Stockson et al.1971).
3.4.2. To examine the determinants of profitability of scheduled commercial banks
Apart from assessing the financial performance of banks, the study also
attempts to examine the determinants of profitability of scheduled commercial banks. For
this purpose, a multivariate approach viz., Correlation Analysis, Step-wise Multiple
Regression Analysis, Factor Analysis and Path Analysis have been adopted. The data of
selected variables have been pooled together for each of the individual group i.e., SBI
Group, Nationalised banks group, Old private sector banks group, New private sector
banks group and Foreign banks group for the period of 2002-03 to 2011-12. The
variables identified by the researcher are grouped into
a) Capital Adequacy ratios
b) Resource Deployed ratios
c) Asset Quality ratios
d) Management Efficiency ratios
e) Earnings Quality ratios and
f) Liquidity ratios.
Table 3 shows the variables which have been selected for the multivariate
techniques.
* Value of ± 0.6745 σ refers to the standard normal distribution, which divides the
distribution at 25 per cent and 75 per cent respectively.
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TABLE 3
VARIABLES SELECTED FOR THE STUDY
Category Variables
Capital Adequacy
(C)
C1 - Advances to Assets
C2 - Government Securities to Total Assets
C3 - Government Securities to Investment
C4 - Capital Adequacy
C5 - Debt -Equity
Resource Deployed
(R)
R1 - Investment to Assets
R2 - Other Assets to Total Assets
R3 - Credit -Deposit Ratio
R4 - Fixed Assets to Total Assets
R5 - Investment -Deposit Ratio
Asset Quality
(A)
A1 - Return on Advances
A2 - Return on Investment
A3 - Non-Performing loans to Loans
A4 - Priority Sector Advances to Advances
A5 - Interest Income to Assets
Management Efficiency
(M)
M1 - Profit per Employee
M2 - Business per Employee
M3 - Intermediation cost to Total assets
M4 - Business per branch
M5 - Return on Net worth
Earnings Quality
(E)
E1 - Spread or Net Interest Income to Total Assets
E2 - Burden to Total Assets
E3 - Operating profit to Total Assets
E4 - Return on Assets
E5 - Interest Income to Total Income
E6 - Non- Interest Income to Total Assets
Liquidity
(L)
L1 - Deposits to Total Assets
L2 - Liquid Assets to Total Assets
L3 - Liquid Assets to Demand Deposits
L4 - Liquid Assets to Total Deposits
L5 - Provisions and Contingencies to Total Assets
L6 - Cash- Deposit Ratio
Out of the above mentioned variables the ratio of Return on assets (E4) is taken as
dependent variable and the remaining variables are considered as independent
variables.
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a) Correlation Analysis
Correlation analysis is applied to study the relationship that exists between two
variables and to test the hypothesis framed under this study. The correlation co-efficient
of the selected independent variables with the dependent variable (Return on assets)
has been worked out in order to identify the most important variable, which have
relationship with the dependent variable.
b) Step-wise Multiple Regression
The step-wise regression technique is used to have a better idea of the
independent contribution of each explanatory variable. Under these techniques, the
researcher adds the independent contribution of each explanatory variable into the
prediction equation one by one, computing betas and R2 at each step. Hence, step-wise
regression analysis consists of procedures via which a forward inclusion is combined
with the deletion of variables that no longer meet the pre-established criteria at each
successive step.
c) Path Analysis
The technique of path analysis is based on a series of multiple regression
analyses with the added assumption of a causal relationship between independent and
dependent variables. It is applied to find out the direct and indirect effect of independent
variables on the dependent variable.
d) Factor Analysis
It aims at studying the effect of two or more predictor variables on certain
evaluation criterion. One among it is the Factor Analysis which is intended to group the
original input variables into factors which underlie the input variables. Each factor will
account for one or more input variables. By performing factor analysis the total number
of factors in the study can be reduced by dropping the insignificant factors based on the
criterion.
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To find out the factors determining the efficiency of the banks, factor analysis was
applied.
Xi = Ai1 F1 + Ai2 F2 + Ai3 F3 + …… + Aim Fm + Vi Ui
where,
Xi = ith standardized variable,
Aij = Standardized multiple regression coefficient of variable i on
common factor j
F = Common factor,
Vi = Standardized regression coefficient of variable i on unique factor i
Ui = The unique factor for variable i
M = Number of common factors
The unique factors are uncorrelated with one another and with the common
factors. The common factors themselves can be expressed as linear combinations of the
observed variables.
Fi = Estimate of ith factor
Wi = Weight or factor score coefficient
K = Number of variables.
It is possible to select weights or factor score coefficients so that the first factor
explains the largest portion of the total variance. Then, a second set of weights can be
selected, so that the second factor accounts for most of the residual variance, subject to
being uncorrelated with the first factor. This same principle could be applied to selecting
additional weights for the additional factors. Thus, the factors can be estimated so that
their factor scores, unlike the value of the original variables, are not correlated.
Furthermore, the first factor accounts for the highest variance in the data, the second
factor for the second highest and so on.
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3.4.3 To evaluate the financial soundness of scheduled commercial banks
Following IMF (2000) recommendations and Shar et al. (2010), the researcher
used the procedure of a Bankometer Model to evaluate the financial soundness of
scheduled commercial banks in India. This procedure has the quality of minimum
number of parameters with maximum accurate results.
Bankometer Parameters:
1. Capital Adequacy Ratio : 40 %≤CAR≥08%
2. Capital to Assets Ratio (Capita / Asset) : ≥04%
3. Equity to total Assets (Equity / Asset) : ≥ 02%
4. NPLs to Loans (NPLs / Loans) : ≤15%
5. Cost to Income ratio (Cost / Income) : ≤40%
6. Loans to Assets (Loan / Asset) : ≤ 65%
These percentages explain a bank that;
has capital adequacy ratio between 8% to 40%,
has more than 4% capital to assets ratio,
has equity to assets ratio greater than 2%,
has controlled non-performing loans (NPLs) ratio below 15% and
has controlled cost to income ratio below 40%.
has maintained loans to assets ratio below 65%.
Under Bankometer model, the following formula is used to analyse the solvency of the
banks.
Where ‘S’ stands for solvency
CA stands for the capital assets ratio
EA stands for equity to assets
CAR stands for the capital adequacy ratio
S = 1.5*CA + 1.2*EA + 3.5*CAR + 0.6*NPL + 0.3*CI + 04*LA
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NPL stands for non -performing loans to loans
CI stands for cost to income
LA stands for loans to assets
Based on the calculated Solvency score (S), the banks were classified as follows:
‘S’ Value Classification of Banks
>70% Super sound banks
50% - 70% Grey Area
<50% Not solvent
Altman (1968); Sher et.al. (2010).
3.4.4 To analyse the growth and progress of scheduled commercial banks
The growth pattern of the bank has been analysed by adopting the following
techniques: a) Compound Growth Rate and b) Linear Trend Method.
The following variables have been adopted to assess the growth and trend
pattern of the commercial banks under this study.
1. Advance 2. Deposits 3. Borrowings
4. Interest Income 5. Total Income 6. Net worth
7. Total Assets 8. Liquid Assets 9. Fixed Assets
10. Provisions and Contingencies 11. Investment 12. Net Profit
a) Compound Annual Growth Rate (CAGR)
The general performance of the banks can be analysed more meaningfully and
objectively for a given period of time by comparing their growth patterns over the period
rather than on a year-to-year basis. The best measure available for such an exercise is
the compound growth rate technique.
Since the growth curves for many of the variables were non-linear, the compound
growth rates were estimated using the following equation.
Let,
Yt = Y0 (1 + r/100)t
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be the growth curve where y0 and yt are the initial and the tth period value of Y
respectively and r is the compound growth rate.
Taking logarithms on both sides,
Log Yt = log Y0 + t log ( 1 + r/100 )
i.e., log Yt = A + Bt
where B = log [ 1 + (r/100)] and A = log Y0. Using the value of B, r can be obtained from
the following formula:
r = [antilog (B) – 1] x 100
From the above, the resultant value is the Compound Growth Rate in per cent.
b) Linear Trend Analysis
Trend analysis reveals the direction of changes or it is a good guide to the
movement of facts and figures revealed while comparing the financial statements of
different periods. It is a mathematical method and with its help a trend line is fitted to the
data in such a manner that the following two conditions are satisfied:
a) ( Y – Yc ) = 0
i.e. the sum of deviations of the actual values of Y and the computed values of Y is zero.
b) (Y – Yc )2 is least
i.e., the sum of the squares of the deviations of the actual and computed values
is least from trend line. The method of least squares is used to fit a straight-line trend,
which is represented by the equation as:
Yc = a + bx
where,
Yc = Trend value; a = Constant;
b = Regression co-efficient; and x = Time.
3.5 Summary
It can be concluded that this study analysed the performance of five bank groups
in the categorisation of SBI group, Nationalised banks group, Old private sector banks
Group, New private sector banks group and Foreign banks group. The study assessed
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profitability and efficiency of banks through CRAMEL ratios and financial soundness
through Bankometer model. To examine the determinants of profitability of banks, a
multivariate approach viz., Correlation analysis, Step-wise Regression analysis, Path
analysis and Factor analysis have been adopted. Besides the above mentioned tools of
analysis, charts, graphs and diagrams are used wherever necessary.