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A DISSERTATION ON
THE MESUREMENT OF RISK-
BETA OR ABSOLUTE VOLATILITY?
SUBMITTED TOWARDS FULFILLMENT OF
POST GRADUATE DIPLOMA IN
BUSINESS MANAGEMENT
(Approved by AICTE, Govt. of India)
(Equivalent to MBA)
Under the Guidance of: Submitted By:
Dr. VIDYA SEKHRI ANAGH RASTOGI
Chairperson Finance PGDM (2009-11)
IMS Ghaziabad BM09032
Institute of Management Studies
C-238, Bulandshahr Road, Lal Quan
Ghaziabad 201009
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TO WHOMSOEVER IT MAY CONCERN
This is to certify that the project entitled, BETA OR ABSOLUTE VOLATILITY A
TECHNICAL ANALYSIS? is submitted by Anagh Rastogi, student of PGDM (Full
Time) 2009-2011 batch, IMS Ghaziabad for the fulfillment of the requirements for the
award of two year Post Graduate Diploma in Business Management is a bonafied
record of the work done by him under my guidance from and that this has not been
submitted by him for any other Degree or Diploma.
Dr. Vidya Sekhri
CHAIRPERSON FINANCE
IMS, GHAZIABAD
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DECLARATION
I the Student of PGDM (2009-11) of Institute of Management Studies, Ghaziabad
hereby declare that the project on BETA OR ABSOLUTE VOLATILITY A
TECHNICAL ANALYSIS? has been done under the guidance of Dr. VIDYA
SEKHRI.
Anagh Rastogi
(Candidates name & Signature)
This is to certify that the above project submitted is correct to the best of myknowledge.
Dr. Vidya Sekhri
Chairperson Finance
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ACKNOWLEDGEMENT
Every accomplishment requires a lot of efforts, hard work, support and blessings. This
project is no exception. This project would not have been possible without the support
and cooperation of a lot of people.
I am grateful to my project guide Dr. Vidya Sekhri, who provided me her constructive
ideas and advice at every stage of this project. Her expertise helped me a lot in
accomplishing the objectives of the project.
Last but not the least I would like to thank my family and friends for their support and
blessings without which I would not have succeeded.
Thank You,
Anagh Rastogi
(BM-09032)
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TABLE OF CONTENT
CONTENTS PAGE NO.
1. ABSTRACT 6
2. INTRODUCTION 7
3. LITERATURE REVIEW 8
4. OBJECTIVE OF THE STUDY 9
5. RESEARCH METHODOLOGY 10
6. WHAT IS THE BETA AND A.V 11
7. THE VALUE OF A.V, R, BETA OF ALL THE COMPANIES(CALCULATED)
- TABLE ANALYSIS OF ABOVE CALCULATED A.V, RAND BETA
16
8. ANALYSIS (Certain Tests) 19
9. LIMITATIONS 25
10. CONCLUSION 26
11. BIBLIOGARHY 27
12. ANNEXURE
- 50 NIFTY COMPANIES WITH SYMBOLS
28
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ABSTRACT
There are plenty of soothsayers/financial wizard offering advice and strategies to
investors. However, to play safe and manage their funds optimally, they need
organized information, logical reasoning backed by scientific methods and
techniques. There are two ways to see the stock exchange volatility, Beta or absolute
volatility. Now the question is which gives the perfect result as per as volatility is
concern. In the paper emphasises is given to find out that, Is there any difference
between the results given by absolute volatility and beta of a share.
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INTRODUCTION
This dissertation report is all about Beta or Absolute Volatility that how should I
constrain my portfolio's BETA OR ABSOLUTE VOLATILITY in order to achieve
market neutrality?
That is the practical question to be answered.
Market neutrality is a very useful feature, and is well worth pursuing. The value of a
fund to an investor is partly based on the return that it generates, and partly based on
its correlation to the rest of the investor's portfolio. The lower the correlation, the
more valuable it is? But the question is should we just go for beta and correlation or
that other thing which is absolute volatility. In my dissertation report, I have tried my
level best to have an answer to this question.
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LITERATURE REVIEW:
Published studies that have examined Beta and Absolute volatility in the stock market
appear to be limited.
According to Keppler M. (1990) if you ask investors what risk they assume when
buying stocks, they likely will respond, Losing money. Modern portfolio theorists
do not, however, define risk as a likelihood of loss, but as volatility, which are
determined using statistical measures of variance such as standard deviation and beta.
While standard deviation is a measure of absolute volatility that shows how much an
investments return varies from its average return over time, beta is a measure of
relative volatility that indicates the price variance of an investment compared to the
market as a whole.
Burns P. (2003) suggested that Simulations are performed which shows the
difficulty of actually achieving realized market neutrality. Results suggest that
restrictions on the net value of the fund are particularly ineffective. A negative
correlation that is-market negativity, is proposed as a more reasonable target, both on
theoretical and practical grounds. Random portfolios, portfolios that obey given
constraints but are otherwise unrestricted, prove themselves to be a very effective tool
to study issues such as this.
Cotter, John (2004) suggested that the use of absolute return volatility has many
modeling benefits. Volatility modeling is a key issue for the finance industry from an
academic and practitioner perspective. This is understandable given the importance
that volatility plays in risk management and the development of accurate risk
measures. To illustrate, successful market risk management requires the use of
accurate risk measures such as minimum capital requirements.
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OBJECTIVE OF THE STUDY:
1. Is there any difference between the results given by absolute volatility and
beta of a share?
2. Should we shift from beta to absolute volatility for better understanding the
share and market performance?
3. Is there any significant role of correlation of a particular share and market in
the end result of volatility?
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RESEARCH METHODOLOGY:
- Technical Analysis
- Sample Size- 50 Nifty Shares
- Time duration - one year (1 February. 2010 31 January. 2011)
- Test correlation, t-test, chi-square test, regression and few more.
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that the asset inversely follows the market; the asset generally decreases in value if
the market goes up and vice versa
Do you know your stocks beta?
If you do, what does it mean and should you be concerned?
Beta is one of the most used and misused of the financial ratios. First off, lets review
what a beta is, then look at how you can use it in a meaningful way.
The beta is a measure of a stocks price in relation to the rest of the market. In other
words, how does the stocks price move relative to the overall market?
Beta and Risk
Of course, there is more to it than that. Risk also implies return. Stocks with a high
beta should have a higher return than the market. If you are accepting more risk, you
should expect more reward.
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Few Examples:
Stock Beta = 2
Market % Return Individual Stock % Return
10% (10% x 2) = 20%
-8% (-8% x 2) = -16%
If the market provides a 10% return to ordinary investors, the stock with a Beta of 2
will provide a 20% return (higher risk, higher return!). However, if the market
provides a negative 8% return, then the Stock with a Beta of 2 will provide a -16%
(higher risk, probability of lower returns!).
Here's another example, with a stock that has a Beta of 0.5
Stock Beta = 0.5
Market % Return Individual Stock % Return
10% (10% x 0.5) = 5%
-8% (-8% x 0.5) = -4%
If the market provides a 10% return to ordinary investors, the stock with a Beta of 0.5
will provide a 5% return (lower risk, lower return!). However, if the market provides
a negative 8% return, then the Stock with a Beta of 2 will provide only a -4% loss,
(lower risk, lower returns!).
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How to Use Beta
Investors can find the best use of the beta ratio in short-term decision-making, where
price volatility is important. If you are planning to buy and sell within a short period,
beta is a good measure of risk.
However, as a single predictor of risk for a long-term investor, the beta has too many
flaws. Careful consideration of a companys fundamentals will give you a much better
picture of the potential long-term risk.
Problems with Beta
While the may seem to be a good measure of risk, there are some problems with
relying on beta scores alone for determining the risk of an investment.
1. Beta looks backward and history is not always an accurate predictor of the
future.
2. Beta also doesnt account for changes that are in the works, such as new lines
of business or industry shifts.
3. Beta suggests a stocks price volatility relative to the whole market, but that
volatility can be upward as well as downward movement. In a sustained
advancing market, a stock that is outperforming the whole market would have
a beta greater than 1.
Absolute volatility (A.V):
Absolute volatility is equal to standard deviation of share divided by standard
deviation of market. Above we have written that = r * share / market.
Here: r = correlation between share and market and the balance share / market theabsolute volatility.
In other words A.V = share / market
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The value of A.V, r, Beta of all the companies are given below:
COMPANY
SYMBOL
S.D OF
SHARE
VARIANCE
OF SHARE
S.D OF
MARKET
ABSOLUTE
VOLITILITY
(A.V) R r2 BETA
(S.D OF
SHARE / S.D
OF
MARKET)
ABB 0.03096 0.000958522 0.02451 1.2630 0.657 0.432 0.830
ACC 0.03061 0.000936972 0.02451 1.2487 0.644 0.414 0.804
AMBUJACEM 0.03383 0.001144469 0.02451 1.3801 0.608 0.369 0.838
AXISBANK 0.04008 0.001606406 0.02451 1.6350 0.771 0.594 1.260
BHEL 0.03008 0.000904806 0.02451 1.2271 0.797 0.636 0.978
BPCL 0.02841 0.000807128 0.02451 1.1590 0.369 0.136 0.428
BHARTIARTL 0.04669 0.002179956 0.02451 1.9047 0.500 0.250 0.953
CAIRN 0.03394 0.001151924 0.02451 1.3846 0.704 0.496 0.975
CIPLA 0.02415 0.000583223 0.02451 0.9852 0.467 0.218 0.460
DLF 0.05525 0.003052563 0.02451 2.2539 0.708 0.502 1.596
GAIL 0.02904 0.000843322 0.02451 1.1847 0.568 0.323 0.673
GRASIM 0.03112 0.000968454 0.02451 1.2695 0.614 0.377 0.780
HCLTECH 0.04411 0.001945692 0.02451 1.7994 0.608 0.370 1.094
HDFCBANK 0.02696 0.000726842 0.02451 1.0998 0.758 0.575 0.834
HEROHONDA 0.02651 0.00070278 0.02451 1.0815 0.514 0.264 0.556
HINDALCO 0.04077 0.001662193 0.02451 1.6632 0.715 0.511 1.189
HINDUNILVR 0.02048 0.00041943 0.02451 0.8355 0.400 0.160 0.334
HDFC 0.03734 0.001394276 0.02451 1.5233 0.762 0.580 1.160
ITC 0.02393 0.000572645 0.02451 0.9762 0.553 0.305 0.539
ICICIBANK 0.04421 0.001954524 0.02451 1.8035 0.826 0.682 1.490
IDEA 0.03686 0.00135866 0.02451 1.5037 0.762 0.580 1.146
INFOSYSTCH 0.02649 0.00070172 0.02451 1.0806 0.632 0.399 0.683
IDFC 0.04541 0.002062068 0.02451 1.8525 0.718 0.515 1.329
JPASSOCIAT 0.05416 0.002933306 0.02451 2.2094 0.769 0.592 1.700
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COMPANY
SYMBOL
S.D OF
SHARE
VARIANCE
OF SHARE
S.D OF
MARKET
ABSOLUTE
VOLITILITY
(A.V) r r2 BETA
JINDALSTEL 0.06711 0.004503752 0.02451 2.7377 0.436 0.190 1.194
LT 0.03581 0.001282356 0.02451 1.4608 0.843 0.711 1.232
M&M 0.03991 0.001592808 0.02451 1.6281 0.667 0.445 1.087
MARUTI 0.02861 0.000818532 0.02451 1.1671 0.553 0.306 0.646
NTPC 0.02411 0.000581292 0.02451 0.9836 0.672 0.451 0.661
ONGC 0.02976 0.000885658 0.02451 1.2140 0.729 0.532 0.885
POWERGRID 0.02761 0.000762312 0.02451 1.1263 0.646 0.417 0.727PNB 0.03194 0.001020164 0.02451 1.3030 0.685 0.469 0.892
RANBAXY 0.03923 0.001538993 0.02451 1.6004 0.492 0.242 0.787
RELCAPITAL 0.05076 0.002576578 0.02451 2.0707 0.798 0.636 1.652
RCOM 0.04751 0.0022572 0.02451 1.9381 0.786 0.617 1.523
RELIANCE 0.03546 0.001257412 0.02451 1.4466 0.854 0.730 1.236
RELINFRA 0.04911 0.002411792 0.02451 2.0034 0.812 0.660 1.628
RPOWER 0.03441 0.001184048 0.02451 1.4037 0.765 0.586 1.074SIEMENS 0.03937 0.001549997 0.02451 1.6061 0.649 0.421 1.042
SBIN 0.03416 0.001166906 0.02451 1.3935 0.822 0.675 1.145
SAIL 0.04531 0.002052996 0.02451 1.8484 0.824 0.679 1.523
STER 0.04671 0.002181824 0.02451 1.9055 0.754 0.568 1.437
SUNPHARMA 0.02995 0.000897003 0.02451 1.2218 0.385 0.148 0.470
SUZLON 0.05611 0.003148332 0.02451 2.2890 0.669 0.447 1.530
TCS 0.04569 0.002087576 0.02451 1.8639 0.437 0.191 0.815
TATAMOTOR 0.04724 0.002231618 0.02451 1.9271 0.643 0.414 1.240
TATAPOWER 0.02986 0.00089162 0.02451 1.2181 0.714 0.510 0.870
TATASTEEL 0.04811 0.002314572 0.02451 1.9626 0.742 0.550 1.456
UNITECH 0.06112 0.003735654 0.02451 2.4933 0.663 0.440 1.653
WIPRO 0.03168 0.001003622 0.02451 1.2924 0.633 0.401 0.818
VARIANCE OF MARKET of market is = (S.D OF MARKET) 2 = (0.02451) 2
= 0.000600898
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Following table shows the analysis of above calculated A.V, r and Beta.
HIGH A.V HIGHBETA
LOW A.VHIGH BETA
HIGH A.V LOWBETA
LOW A.V LOWBETA
AXISBANK ABB CIPLA
BHARTIARTL ACC HINDUNILVR
BHEL AMBUJACEM ITC
CAIRN BPCL NTPC
DLF GAIL
HCLTECH GRASIM
HINDALCO HDFCBANK
HDFC HEROHONDA
IDEA INFOSYSTCH
IDFC MARUTI
ICICIBANK POWERGRID
JPASSOCIAT RANBAXY
JINDALSTEL SUNPHARMA
LT TCS
M&M TATAPOWER
ONGC WIPRO
PNB
RELCAPITAL
RCOMRELIANCE
RELINFRA
RPOWER
SIEMENS
SBIN
SAIL
STER
SUZLON
TATAMOTORS
TATASTEEL
UNITECH
TOTAL
30 0 16 4
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ANALYSIS (Certain Tests)
HIGH V.R
(no. of shares)
LOW V.R
(no. of shares)
HIGH BETA 30 0
LOW BETA 16 4
So there are 30 shares of High V.R and High Beta, 0 of Low V.R but High Beta, 16 of
Low Beta but High V.R and finally 4 of Low V.R and Low Beta.
There are many benefits of A.V over the beta. First of all let us see the relation of A.V
with beta.
Chi-Square Tests of A.V and beta of 50 Shares:
Crosstabs
Case Processing Summary
CasesValid Missing Total
N Percent N Percent N Percent
A_V *BETA
50 100.0% 0 .0% 50 100.0%
A_V * BETA Cross tabulationCount
BETA
0 1 Total
0 4 0 4A_V
1 16 30 46
Total 20 30 50
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Symmetric Measures
ValueAsymp. Std.
ErrorApprox.
TbApprox.
Sig.ExactSig.
Interval by
Interval
Pearson's R.377 .093 2.817 .007c .017
Ordinal byOrdinal
SpearmanCorrelation
.377 .093 2.817 .007c .017
N of Valid Cases 50
a. Not assuming the nullhypothesis.
b. Using the asymptotic standard error assuming the null hypothesis.
c. Based on normal approximation.
Chi-Square Tests
Value dfAsymp. Sig.
(2-sided)Exact Sig.(2-sided)
Exact Sig.(1-sided)
PointProbabili
ty
Pearson Chi-Square 7.094a 1 .008 .017 .017
ContinuityCorrectionb
4.522 1 .033
N of Valid Cases 50
a. 2 cells (50.0%) have expected count less than 5. The minimum expectedcount is 1.52.
b. Computed only for a 2x2 table
c. The standardized statistic is 2.637.
Degree of freedom=1
Level of significant= 5%
H0= there is no significant relation between A.V and Beta
H1=there is significant relation between A.V and Beta
2
tab, 0.05,1 = 3.841
2
cal = 7.094
Now, 2cal >2tab, (7.094 > 3.841)
So, 2 cal isaccepted.H1is accepted which means there is significant relation between A.V and Beta,
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The Chi-Square Test analysis shows thatthere is significant relation between A.V
and Beta. Although the factors by which, these two has been calculated are different.
The difference is ofcorrelation (r). But still according to Chi-Square Test analysis
Regression Test on A.V and Beta of 50 Shares:
Descriptive Statistics
MeanStd.
Deviation N
BETA 1.037040 .3670012 50
AV 1.548586 .4304356 50
Correlations
BETA AV
BETA 1.000 .835PearsonCorrelation AV .835 1.000
BETA . .000Sig. (1-tailed)
AV .000 .
BETA 50 50N
AV 50 50
Model Summary
Change Statistics
Model R R Square Adjusted RSquare Std. Error ofthe Estimate R SquareChange F Change df1 df2
Sig.F
Change
1 .835a .697 .691 .2039436 .697 110.676 1 48 .000
a. Predictors: (Constant), AV
Strength of association = R Square = 0.691
That signifies the proportion of the total variation in beta that account for by the
variation Of A.V.Now here it means in Beta, the total variation of A.V is 0.69
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Coefficients
UnstandardizedCoefficients
StandardizedCoefficients
Model B Std. Error Beta T Sig.(Constant) -.066 .109 -.604 .5491
AV .712 .068 .835 10.520 .000
a. Dependent Variable: BETA
Correlation between A.V & Beta = 0.835
Correlation between A.V & r = 0.22057662
Correlation between Beta & r = 0.69865757
Regression equation = BETA = 0.712 * A.V + (-0.066)
Or 0.712 * A.V - 0.066
This data is of last one year from here if we know the value of A.V for any share we
can easily calculate the value of Beta but main problem with beta is that it is 0.712 *
A.V - 0.066, Now can we take Beta as a true measure of volatility?
For this let us try further with other tests to prove that A.V is better than Beta
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The common thing between A.V and Beta is r:
Now there can be 3 types of r between stock market and a particular share:
Case 1
r = 1
Case 3
r < 1
Case 2
r > 1
Case 4
r 0.5
Now let us take some examples to prove that A.V is more powerful tool to judge
any shares volatility then Beta.
We know, Beta= r * share / market.
A.V = share / market
It means Beta = r * A.V
1st
case:Now if, r = 1,and A.V is 1.29 or 1 or 0.85 etc.
Than Beta in this case is equal to A.V because r = 1 and Beta = r * A.V, than in this
case what is the use of Beta.
2nd
case:Now if, r >1,and A.V is 0.5 or 0.75 or 1 or 1.5 etc.
Than beta in this case will be always more then A.V, means the Beta value is showing
exaggerate value of volatility.
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3rd
case:Now if, r
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LIMITATIONS
1. I have taken 50 nifty shares only it is possible that it may not give the true
picture of total shares in the market.
2. The time duration of my study is one year (1 February. 2010 - 31 January.
2011); this also may not give the actual picture.
3. This study is technical analyses study not a fundamental one, so there are
chances that it may not give the correct picture.
4. The test, tool, analysis and recommendations regarding Beta or A.V are truly
personal, it maybe possible that some people dont agree with this.
5. These findings are based on the assumption that, If Beta is 0.85 then it is a low
beta, otherwise high Beta and if A.V is less then 1 then its a low A.V,
otherwise it is a high A.V.
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CONCLUSION
BETA is a measure the check the volatility of a share but when we see its comparison
with the ABSOLUTE VOLATILITY, the result is in front of us. Absolute volatility
is giving much accurate result than Beta. We have seen in Chi-Square Test analysis
that there is significant relationship between Beta and A.V. after proving the
relationship between Beta and A.V; I have proved in Regression test analysis that A.V
is telling the right volatility than Beta, if we know the value of A.V for any share we
can easily calculate the value of Beta but main problem with beta is that it is 0.712 *
A.V - 0.066, Now can we take Beta as a true measure of volatility? Than in the
further analysis when I have taken correlation (r) as a base I have again proved that
the value given by A.V is far more reliable the value given by Beta. There is no end
for this discussion that whether A.V is good or Beta is Better but one thing is clear
from this that A.V is better and reliable than Beta.
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BIBLIOGARHY
Cotter, John University College Dublin, Absolute Return Volatility (2004)
Michael Keppler,Risk is Not The Same as Volatility (November 1990)
Patrick Burns, Does my beta look big in this? (15th July 2003)
Financial Management by Khan and Jain.
Portfolio Management, Volume 6, CFA, Level 1,2011
Quantitative Techniques, Volume 6, CFA, Level 1, 2011.
www.burns-stat.com/pages/Working/betalookbig.pdf
www.kamny.com/load/publications/p03_eng.pdf
www.moneycontrol.com
www.nse.com
www.ucd.ie/bankingfinance/docs/wp/COTTER5.PDF
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ANNEXURE
THESE ARE THE 50 NIFTY COMPANIES ON WHICH ANALYSIS HAS
BEEN DONE:
COMPANY NAME INDUSTRY SYMBOL
ABB Ltd. ELECTRICAL EQUIPMENT ABB
ACC Ltd.
CEMENT AND CEMENT
PRODUCTS ACC
Ambuja Cements Ltd.
CEMENT AND CEMENT
PRODUCTS AMBUJACEM
Axis Bank Ltd. BANKS AXISBANK
Bharat Heavy Electricals
Ltd. ELECTRICAL EQUIPMENT BHEL
Bharat Petroleum
Corporation Ltd. REFINERIES BPCL
Bharti Airtel Ltd.
TELECOMMUNICATION -
SERVICES BHARTIARTL
Cairn India Ltd.
OIL
EXPLORATION/PRODUCTION CAIRN
Cipla Ltd. PHARMACEUTICALS CIPLA
DLF Ltd. CONSTRUCTION DLF
GAIL (India) Ltd. GAS GAIL
Grasim Industries Ltd.
CEMENT AND CEMENT
PRODUCTS GRASIM
HCL Technologies Ltd. COMPUTERS SOFTWARE HCLTECH
HDFC Bank Ltd. BANKS HDFCBANK
Hero Honda Motors Ltd.
AUTOMOBILES - 2 AND 3
WHEELERS HEROHONDA
Hindalco Industries Ltd. ALUMINIUM HINDALCO
Hindustan Unilever Ltd. DIVERSIFIED HINDUNILVR
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Housing Development
Finance Corporation Ltd. FINANCE HOUSING HDFC
I T C Ltd. CIGARETTES ITC
ICICI Bank Ltd. BANKS ICICIBANK
Idea Cellular Ltd.
TELECOMMUNICATION -
SERVICES IDEA
Infosys Technologies Ltd. COMPUTERS SOFTWARE INFOSYSTCH
Infrastructure
Development Finance Co.
Ltd. FINANCIAL INSTITUTION IDFC
Jaiprakash Associates Ltd. DIVERSIFIED JPASSOCIATJindal Steel & Power Ltd. STEEL AND STEEL PRODUCTS JINDALSTEL
Larsen & Toubro Ltd. ENGINEERING LT
Mahindra & Mahindra
Ltd. AUTOMOBILES - 4 WHEELERS M&M
Maruti Suzuki India Ltd. AUTOMOBILES - 4 WHEELERS MARUTI
NTPC Ltd. POWER NTPC
Oil & Natural GasCorporation Ltd.
OILEXPLORATION/PRODUCTION ONGC
Punjab National Bank BANKS PNB
Ranbaxy Laboratories Ltd. PHARMACEUTICALS RANBAXY
Reliance Capital Ltd. FINANCE RELCAPITAL
Reliance Communications
Ltd.
TELECOMMUNICATION -
SERVICES RCOM
Reliance Industries Ltd. REFINERIES RELIANCEReliance Infrastructure
Ltd. POWER RELINFRA
Reliance Power Ltd. POWER RPOWER
Siemens Ltd. ELECTRICAL EQUIPMENT SIEMENS
State Bank of India BANKS SBIN
Steel Authority of India
Ltd. STEEL AND STEEL PRODUCTS SAIL
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Sterlite Industry Ltd. METALS STER
Sun Pharmaceutical
Industries Ltd. PHARMACEUTICALS SUNPHARMA
Suzlon Energy Ltd. ELECTRICAL EQUIPMENT SUZLON
Tata Consultancy Services
Ltd. COMPUTERS SOFTWARE TCS
Tata Motors Ltd. AUTOMOBILES - 4 WHEELERS TATAMOTORS
Tata Power Co. Ltd. POWER TATAPOWER
Tata Steel Ltd. STEEL AND STEEL PRODUCTS TATASTEEL
Unitech Ltd. CONSTRUCTION UNITECH
Wipro Ltd. COMPUTERS SOFTWARE WIPRO
The share price of these 50 shares and market has been collected from
www.nseindia.com from 1 February. 2010 - 31 January. 2011, time duration is one
year.