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Asian Journal
of Research in
Banking
and
Finance Asian Journal of Research in Banking and Finance Vol. 6, No. 1, January 2016, pp. 22-31.
ISSN 2249-7323 A Journal Indexed in Indian Citation Index
22
www.aijsh.org
Asian Research Consortium
A Comparative Study on the Synchronicity of Indian
Public Sector Banks‟ Shares during the Sub-Prime Crisis
Period with that of the Pre and the Post Crisis Periods
Som Sankar Sen*; Abhisek Saha Roy**
*Assistant Professor,
The University of Burdwan,
West Bengal, India.
**Research Scholar,
The University of Burdwan,
West Bengal, India.
DOI NUMBER-10.5958/2249-7323.2015.00151.0
Abstract
The turmoil in the international financial markets of advanced economies that started around mid-
2007 and intensified substantially since August 2008 had engulfed many developed and emerging
countries within its blaze. India, a great example of an emerging economy was not far away from
the heat. The present study in this context attempted to examine whether there was any significant
change in the behaviour of share price synchronicity of the Indian Public Sector Banks during the
crisis period in compare to pre and post crisis period or not. It was found that Indian Public Sector
Banks‟ stock prices were more aligned to the market during the crisis period compared to the pre
crisis and the post crisis period.
_______________________________________________________________________________
1. Introduction
The phase of mayhem in world economy that started from mid-2007 and continued until the end of
2009 reckoned as one of the most hazardous phases in recent times. New Economic Policy of 1991
has led to a huge transformation of Indian Economy. Globalization as one of the goals of this policy
has undoubtedly brought about positive changes in India, but not without incurring some costs for
it. India is now open to any menace originating in the International Market. Thus, demanding the
regulatory bodies along with Government in India, to be more cautious in managing any downside
ramifications of integrating with International market. The recent turmoil in the international
financial markets and the role of regulatory bodies protecting an economy has influenced many
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
23
researchers to consider the role of informational environment and governance mechanisms of a
country while explaining Stock market Synchronicity. [Where, stock price synchronicity measures
the extent to which stock prices co-move with the market (Li et al., 2003, Morck et al., 2000, Roll,
1988, Skaife et al., 2005, Khandaker and Heaney, 2008)]. The literature reveals that there is a
significant relationship between the information environments of a firm with Stock synchronicity,
making the latter a strong determinant in explaining firm‟s exposure to financial crisis. Chan and
Hameed (2006), provided a positive relationship between information environment of a firm and
stock price synchronicity. Farooq and Ahmed (2014) also testified analogous findings by stating a
positive relationship between stock price synchronicity and governance mechanisms. Dasgupta et
al. (2010) documented that good information environment and improvement in governance
mechanism leads investors to make accurate future forecast of firms‟ specific events. An attempt
was made in this study to investigate whether the public sector bank stock price synchronicity
significantly differed from that during the pre crisis period and that of the post crisis period or not.
2. Literature Review
Does Information Environment and good governance mechanism affect Stock Price Synchronicity
or not?
In search of the answer for the above question one comes across with two views.
2.1: Stock Synchronicity rises when transparency level and good governance mechanism
increases or there is low opacity
Investor takes little interest to corporate governance during the days of tranquil but becomes
conscious when the market passes through a turmoil phase. The natural phenomenon during this
phase is that the manager tries to hide good information. As a result, sincere disclosure of
information is overlooked (Rajan and Zingales, 1998). This results in an information asymmetry
(Leuz et al., 2003). Absence of true information makes investors petrified enough to pull out capital
from the market creating a shortage of liquidity in the market adding more fuel to the fire.
According to Johnson et al. (2000) there is a tendency to expropriate information as the investor‟s
expected return decline during the crisis. Furthermore, the decline in the expected return makes
investors brood over the functioning of corporate mechanism. Thus, disclosing the supply of
relevant information is the need of the hour. It is argued that poor corporate governance mechanism
makes a firm vulnerable during financial crisis. Hence, low synchronicity is the outcome of firms
having poor corporate mechanism (Mitton, 2002). Now, symmetry of information leads to good
governance resulting in superior financial performance, relegate risk, consecutively building the
confidence of the investors. Economic theory (Diamond and Verrecchia, 1991) suggests that
greater disclosure of corporate governance lowers information asymmetry and estimating risk.
Morck et al. (2006) argued that the investors are discouraged while capitalizing on firms‟
information. The reason is weak legal protection of property rights. As a result, the stock prices are
driven by the information, predominant in the market making the stock prices synchronous. Thus,
transparency of information abets investors to appraise the banks having poor financial
performance with banks having strong financial performance.
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
24
2.2: Stock Synchronicity increases when transparency level and good governance mechanism
decreases or high opacity
According to Jin and Myer (2006), less protection for property rights only partially explains
synchronicity in a market. Imperfect protection for investors does not affect synchronicity if the
firm is completely transparent. A decrease in transparency coupled with value capture by firm
insiders leads to lower firm-specific risk and higher synchronicity. They are of opinion that the
level of transparency adopted by a firm determines the division of risk borne by investors and
insiders. In economies where there is lack of transparent information sources to assess a firm‟s
financial performance and value, investors may not be able to confirm a firm‟s value as conveyed
by insiders (managers).Campbell et al. (2001) stated that large investors are exposed to greater risk
as stock co-movement increases. Morck et al. (2000) found that there is a threshold level for
institutional development of property rights. Below a certain threshold, synchronicity does not
decrease. For developed countries, synchronicity is higher when there is lower financial governance
in place. Beny (2000) reported a significant positive correlation between the strictness of a
country‟s proscriptions against insider trading and the lack of synchronicity of individual stock
returns. Durnev et al. (2004) found that corporate investment is more efficient when R² is low,
consistent with the notion that low R² stocks have more informationally efficient prices.
3. Data
Currently there are 25 public sector banks operating in India. The study has taken 16 such banks for
the purpose of empirical analysis. Nine banks are left out due to non-availability of data for the
entire study period. Daily stock price data of the above banks have been collected from 6th
September, 2005 to 31st December 2012 from the Capitaline database.
4. Determination of the sub period
This is very difficult to determine the exact time span of recent global financial crisis. This paper
has considered 9th
August, 2007 as the beginning of the crisis period as on that day BNP Paribus
froze three of their Collateralized Debt obligations (CDOs). As the situation eased within the year
2009, the present study has considered the period starting from 9th
august 2007 to 31st December
2009 as the crisis period. Hence, period from 6th
September 2005 to 8th
August 2007 has been
considered as the pre crisis period and the period after 31st December, 2009 to 31
st December, 2012
as the post crisis period.
5. Measure of Synchronicity
The R square measure of synchronicity is the most popular measure of synchronicity used by
researchers. Morck et al. (2000) are one of the proponents of R square statistics to measure stock
synchronicity.
In this study, the following simple market model with slight variation has been used to calculate R
square of each bank for three sub periods.
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
25
--------------------------- (1)
Where,
is the return of firm i for the„t‟ th period.
is the SENSEX return for the same period.
is the auto regressive term included to deal with the problem of auto correlation .
is the error term.
The measure is the percentage of variation daily return of stock I explained by the variation in
the market return.
--------------------------- (2)
Where is the covariance between the share returns and share market returns and
the standard deviation for asset i and is the standard deviation for asset m.
The above measure has been applied in this study to capture synchronicity of bank stock.
In this study, synchronicity of all 16-bank stocks for the three sub periods has been calculated to
finds any difference between them.
6. Two Way Analysis of Variance (ANOVA) without replication
Two Way Analysis of Variance without replication has been used in this study to investigate
whether the synchronicity ( ), measured in three sub periods are significantly different or not.
Here, observations have been taken such that there should have only one observation per cell of the
cross tabulation table.
The General model can be written as
…………………..(3)
Where,
denotes the general effect
is the effect of i th class according to column factor
is the effect to the j th class according to row factor
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
26
is the error component with „0‟ mean and variance
Hence, the null hypotheses are
: ,
: , H12 : At list two j ‟s are different
Decision rule:
If accept
General ANOVA table for Two-way classification without replication
Source of Variation Sum of
Square
Degree of
Freedom
Mean sum of
square
F ratio
Between
columns(Treatments)
SSC c-1 MSTR=SSC/c-1 MSIR/MSE
Between Rows
(Blocks)
SSB r-1 MSB=SSB/r-1 MSB/MSE
Residual Error SSE (c-1)(r-1) MSE=SSE/(c-
1)(r-1)
7. Comparing two population means: t test (unequal variance)
Present study also applies t test (unequal variance) to compare means of sub period synchronicity
(taking two sub periods at a time)
Test Statistics
df = ( approximately)
Decision Rule:
If
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
27
8. Results and Discussions
R² values of three sub periods derived from the equation 1 have been reported in Table 1
Table 1. R² Values
R2
Name of Bank Pre-Crisis Period Crisis Period Post-Crisis Period
ALLAHABAD BANK 29.2 39.9 34
ANDHRA BANK 32.2 39.1 32
BANK OF BARODA 38.5 42.8 29.2
BOI 42.5 40.8 31.8
BANK OF MAHARASTRA 21.6 28.8 25.5
CANARA BANK 42.2 38.8 30.6
DENA BANK 27.4 45.4 42.2
IDBI BANK 43.3 50.6 51
INDIAN OVERSEAS BANK 30.8 39.4 33.8
ORIENTAL BANK OF COMMERCE 36.1 38.1 28.2
PNB 45.1 49.2 34.8
SBI 48 63.1 48.7
SYNDICATE BANK 37.6 37.7 40.9
UCO BANK 27.7 41.4 41.7
UNION BANK 37.7 35.1 28.3
VIJAYA BANK 33.9 41.3 41.7
8.1. The two factor ANOVA without replication
In the following two tables, the results of Two Factors ANOVA without replication have been
reported. In Table 2 the means and variances of synchronicity (R²) of all banks for three sub periods
have been reported. Moreover, cross sectional means and variances of three sub periods are also
reported.
Table 2 Means and Variances of Synchronicity (R²)
Summary Count Sum Average Variance
ALLAHABAD BANK 3 103.1 34.36667 28.72333
ANDHRA BANK 3 103.3 34.43333 16.34333
BANK OF BARODA 3 110.5 36.83333 48.32333
BOI 3 115.1 38.36667 33.06333
BANK OF MAHARASTRA 3 75.9 25.3 12.99
CANARA BANK 3 111.6 37.2 35.56
DENA BANK 3 115 38.33333 92.21333
IDBI BANK 3 144.9 48.3 18.79
INDIAN OVERSEAS BANK 3 104 34.66667 19.05333
ORIENTAL BANK OF COMMERCE 3 102.4 34.13333 27.40333
PNB 3 129.1 43.03333 55.04333
SBI 3 159.8 53.26667 72.64333
SYNDICATE BANK 3 116.2 38.73333 3.523333
UCO BANK 3 110.8 36.93333 63.96333
UNION BANK 3 101.1 33.7 23.56
VIJAYA BANK 3 116.9 38.96667 19.29333
Pre-Crisis Period 16 573.8 35.8625 54.3025
Crisis Period 16 671.5 41.96875 58.05696
Post-Crisis Period 16 574.4 35.9 57.55067
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
28
From the ANOVA table (table no3) one can easily understand that both the F ratios for Rows and
columns are significant at one percent level. This indicates that both the null hypothesis should be
rejected and at least i ‟s and j ‟s are different. In other language at least in two sub periods
synchronicity is different and banks have different synchronicity among themselves.
Table 3. Two-Factor without Replication
ANOVA
Source of Variation SS df MS F P-value F crit
Rows 1802.965 15 120.1977 4.835714 0.000121 2.014804
Columns 395.2929 2 197.6465 7.951584 0.001695 3.31583
Error 745.6871 30 24.85624
Total 2943.945 47
8.2. Results of t- tests
Since there is enough evidence that there is significant difference in synchronicity between at least
two sub periods, t tests have been applied pair wise between sub period‟s synchronicity taking two
periods at a time.
In the table 4 results of t test taking period one and period two ( that is pre crisis and post crisis
period) have been reported .The computed t value (-2.3042) is highly significant and negative sign
clearly indicates that synchronicity in crisis period is greater than that of the pre-crisis period.
Table 5 shows the results of t test between synchronicity of crisis period and that of the post crisis
period. Again, the significant t statistic shows that there is a significant difference in synchronicity
in both periods. The positive sign in t statistic also indicates that synchronicity in crisis period is
higher than that of the post crisis period.
Finally, table 6 returns the result of t test between synchronicity of pre-crisis and post crisis periods.
The result shows that there is no significant difference in synchronicities between these two
periods. Hence, it is clear from the above results that synchronicity in crisis period is significantly
different from pre and post crisis periods.
Table 4. t-Test: Two-Sample Assuming Unequal Variances
(between pre-crisis and crisis period)
Pre-Crisis Period Crisis Period
Mean 35.8625 41.96875
Variance 54.3025 58.05696
Observations 16 16
Hypothesized Mean Difference 0
df 30
t Stat -2.304250837
P(T<=t) one-tail 0.014155586
t Critical one-tail 1.697260851
P(T<=t) two-tail 0.028311171
t Critical two-tail 2.042272449
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
29
Table 5. t-Test: Two-Sample Assuming Unequal Variances
(between Crisis and Post-Crisis period)
Crisis Period Post- Crisis Period
Mean 41.96875 35.9
Variance 58.05695833 57.55067
Observations 16 16
Hypothesized Mean Difference 0
df 30
t Stat 2.257698783
P(T<=t) one-tail 0.015700087
t Critical one-tail 1.697260851
P(T<=t) two-tail 0.031400174
t Critical two-tail 2.042272449
Table 6. t-Test: Two-Sample Assuming Unequal Variances
(between Pre-Crisis and Post-Crisis period)
Pre-Crisis Period Post- Crisis Period
Mean 35.8625 35.9
Variance 54.3025 57.55067
Observations 16 16
Hypothesized Mean Difference 0
df 30
t Stat -0.014182968
P(T<=t) one-tail 0.494388956
t Critical one-tail 1.697260851
P(T<=t) two-tail 0.988777912
t Critical two-tail 2.042272449
9. Conclusion
Present study attempted to study the synchronous movements of Public Sector Banks‟ stock with
BSE SENSEX. The study period was sub divided into three sub periods. Pre crisis period, crisis
period (that is period of global meltdown) and post crisis period. It was established that
synchronicity in terms of R² was higher in the crisis period than that of the other sub-periods. The
reason behind this should be researched in a future study.
Sen & Roy (2016). Asian Journal of Research in Banking and Finance,
Vol. 6, No.1, pp. 22-31.
30
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