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INTRODUCTIOTO PORTFOLIO MANAGEMENT
Portfolio management and investment decision as a concept came
to be familiar with the conclusion of second world war when thing can be
in the stock market can be liberally ruined the fortune of individual,
companies ,even government s it was then discovered that the investing
in various scripts instead of putting all the money in a single securities
yielded weather return with low risk percentage, it goes to the credit of
HARYMERKOWITZ, 1991 noble laurelled to have pioneered the concept
of combining high yielded securities with these low but steady yielding
securities to achieve optimum correlation coefficient of shares.
Portfolio management refers to the management of portfolios for
others by professional investment managers it refers to the management
of an individual investors portfolio by professionally qualified person
ranging from merchant banker to specified portfolio company.
Definition by SEBI:
A portfolio management is the total holdings of securities belonging
to any person. Portfolio is a combination of securities that have returns
and risk characteristics of their own; port folio may not take on the
aggregate characteristics of their individual parts.
Thus a portfolio is a combination of various assets and /or
instruments of investments.
Combination may have different features of risk and return separate
from those of the components. The portfolio is also built up of the wealth
or income of the investor over a period of time with a view to suit is
return or risk preference to that of the port folio that he holds. The
portfolio analysis is thus an analysis is thus an analysis of risk return
characteristics of individual securities in the portfolio and changes that
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may take place in combination with other securities due interaction among
them and impact of each on others.
Security analysis is only a tool for efficient portfolio management;
both of them together and cannot be dissociated. Portfolios are
combination of assets held by the investors.
These combination may be various assets classed like equity and
debt or of different issues like Govt. bonds and corporate debts are of
various instruments like discount bonds, debentures and blue chip equity
nor scripts of emerging Blue chip companies.
Portfolio analysis includes portfolio construction, selection of
securities revision of portfolio evaluation and monitoring of the
performance of the portfolio. All these are part of the portfolio
management
The traditional portfolio theory aims at the selection of such
securities that would fit in will with the asset preferences, needs and
choices of the investors. Thus, retired executive invests in fixed income
securities for a regular and fixed return. A business executive or a young
aggressive investor on the other hand invests in and rowing companies
and in risky ventures.
The modern portfolio theory postulates that maximization of
returns and minimization of risk will yield optional returns and the choice
and attitudes of investors are only a starting point for investment
decisions and that vigorous risk returns analysis is necessary for
optimization of returns.
Portfolio analysis includes portfolio construction, selection of
securities, and revision of portfolio evaluation and monitoring of the
performance of the portfolio. All these are part of the portfolio
management.
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IMPORTANCE & NEED OF STUDY
Portfolio management or investment helps investors in effective and
efficient management of their investment to achieve this goal. The rapid
growth of capital markets in India has opened up new investment avenues
for investors.
The stock markets have become attractive investment options for the
common man. But the need is to be able to effectively and efficiently
manage investments in order to keep maximum returns with minimum
risk.
Hence this study on PORTFOLIO MANAGEMENT & INVESTMENT
DECISION to examine the role process and merits of effective
investment management and decision.
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OBJECTIVES
To study the investment decision process.
To analysis the risk return characteristics of sample scripts.
Ascertain portfolio weights.
To construct an effective portfolio which offers the maximum returnfor minimum risk
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METHODOLOGY
Primary source
Information gathered from interacting with Mr. Prabakar in the
Class room. And the data from the textbooks and other magazines.
Secondary source:Daily prices of scripts from news papers
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REVIEW OF LITERATURE
PORTFOLIO:
A portfolio is a collection of securities since it is really desirable to
invest the entire funds of an individual or an institution or a single
security, it is essential that every security be viewed in a portfolio context.
Thus it seems logical that the expected return of the portfolio. Portfolio
analysis considers the determine of future risk and return in holding
various blends of individual securities
Portfolio expected return is a weighted average of the expected
return of the individual securities but portfolio variance, in short contrast,
can be something reduced portfolio risk is because risk depends greatly on
the co-variance among returns of individual securities. Portfolios, which
are combination of securities, may or may not take on the aggregate
characteristics of their individual parts.
Since portfolios expected return is a weighted average of the
expected return of its securities, the contribution of each security the
portfolios expected returns depends on its expected returns and its
proportionate share of the initial portfolios market value. It follows that
an investor who simply wants the greatest possible expected return
should hold one security; the one which is considered to have a greatestexpected return. Very few investors do this, and very few investment
advisors would counsel such and extreme policy instead, investors should
diversify, meaning that their portfolio should include more than one
security.
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OBJECTIVES OF PORTFOLIOMANAGEMENT
The main objective of investment portfolio management is
to maximize the returns from the investment and to minimize the risk
involved in investment. Moreover, risk in price or inflation erodes the
value of money and hence investment must provide a protection against
inflation.
Secondary objectives:
The following are the other ancillary objectives:
Regular return.
Stable income.
Appreciation of capital.
More liquidity.
Safety of investment.
Tax benefits.
Portfolio management services helps investors to make a
wise choice between alternative investments with pit any post trading
hassles this service renders optimum returns to the investors by proper
selection of continuous change of one plan to another plane with in the
same scheme, any portfolio management must specify the objectives likemaximum returns, and risk capital appreciation, safety etc in their offer.
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Return From the angle of securities can be fixed income
securities such as:
(a) Debentures partly convertibles and non-convertibles debentures debt
with tradable Warrants.
(b) Preference shares
(c) Government securities and bonds
(d) Other debt instruments
(2) Variable income securities
(a) Equity shares
(b) Money market securities like treasury bills commercial papers etc.
Portfolio managers has to decide up on the mix of
securities on the basis of contract with the client and objectives of
portfolio
NEED FOR PORTFOLIO MANAGEMENT:
Portfolio management is a process encompassing many activities of
investment in assets and securities. It is a dynamic and flexible concept
and involves regular and systematic analysis, judgment and action. The
objective of this service is to help the unknown and investors with the
expertise of professionals in investment portfolio management. It involves
construction of a portfolio based upon the investors objectives,
constraints, preferences for risk and returns and tax liability. The portfolio
is reviewed and adjusted from time to time in tune with the market
conditions. The evaluation of portfolio is to be done in terms of targets set
for risk and returns. The changes in the portfolio are to be effected to
meet the changing condition.
Portfolio construction refers to the allocation of surplus funds in hand
among a variety of financial assets open for investment. Portfolio theory
concerns itself with the principles governing such allocation. The modern
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view of investment is oriented more go towards the assembly of proper
combination of individual securities to form investment portfolio.
A combination of securities held together will give a beneficial
result if they grouped in a manner to secure higher returns after taking
into consideration the risk elements.
The modern theory is the view that by diversification risk can be
reduced. Diversification can be made by the investor either by having a
large number of shares of companies in different regions, in different
industries or those producing different types of product lines. Modern
theory believes in the perspective of combination of securities under
constraints of risk and returns
PORTFOLIO MANAGEMENT PROCESS:
Investment management is a complex activity which may be broken
down into the following steps:
1) Specification of investment objectives and constraints:
The typical objectives sought by investors are current income,capital appreciation, and safety of principle. The relative importance of
these objectives should be specified further the constraints arising from
liquidity, time horizon, tax and special circumstances must be identified.
2) choice of the asset mix :
The most important decision in portfolio management is the asset mix
decision very broadly; this is concerned with the proportions of stocks
(equity shares and units/shares of equity-oriented mutual funds) and
bonds in the portfolio.
The appropriate stock-bond mix depends mainly on the risk
tolerance and investment horizon of the investor.
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ELEMENTS OF PORTFOLIO MANAGEMENT:
Portfolio management is on-going process involving the
following basic tasks:
Identification of the investors objectives, constraints and
preferences.
Strategies are to be developed and implemented in tune with
investment policy formulated.
Review and monitoring of the performance of the portfolio.
Finally the evaluation of the portfolio
Risk:
Risk is uncertainty of the income /capital appreciation or loss or
both. All investments are risky. The higher the risk taken, the higher is
the return. But proper management of risk involves the right choice of
investments whose risks are compensating. The total risks of two
companies may be different and even lower than the risk of a group of
two companies if their companies are offset by each other.
SOURCES OF INVESTMENT RISK:
Business risk:
As a holder of corporate securities (equity shares or
debentures), you are exposed to the risk of poor business performance.
This may be caused by a variety of factors like heightened competition,emergence of new technologies, development of substitute products,
shifts in consumer preferences, inadequate supply of essential inputs,
changes in governmental policies, and so on.
Interest rate risk:
The changes in interest rate have a bearing on the welfare on
investors. As the interest rate goes up, the market price of existing firmed
income securities falls, and vice versa. This happens because the buyer of
a fixed income security would not buy it at its par value of face value o its
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fixed interest rate is lower than the prevailing interest rate on a similar
security. For example, a debenture that has a face value of RS. 100 and a
fixed rate of 12% will sell a discount if the interest rate moves up from,
say 12% to 14%.while the chances in interest rate have a direct bearing
on the prices of fixed income securities, they affect equity prices too,
albeit some what indirectly.
The two major types of risks are:
Systematic or market related risk.
Unsystematic or company related risks.
Systematic risks affected from the entire market are (the problems,
raw material availability, tax policy or government policy, inflation risk,
interest risk and financial risk). It is managed by the use of Beta of
different company shares.
The unsystematic risks are mismanagement, increasing inventory,
wrong financial policy, defective marketing etc. this is diversifiable or
avoidable because it is possible to eliminate or diversify away this
component of risk to a considerable extent by investing in a large portfolio
of securities. The unsystematic risk stems from inefficiency magnitude of
those factors different form one company to another.
RETURNS ON PORTFOLIO:
Each security in a portfolio contributes return in the proportion
of its investments in security. Thus the portfolio expected return is the
weighted average of the expected return, from each of the securities, with
weights representing the proportions share of the security in the total
investment. Why does an investor have so many securities in his
portfolio? If the security ABC gives the maximum return why not he
invests in that security all his funds and thus maximize return? The
answer to this questions lie in the investors perception of risk attached to
investments, his objectives of income, safety, appreciation, liquidity and
hedge against loss of value of money etc. this pattern of investment in
different asset categories, types of investment, etc., would all be
described under the caption of diversification, which aims at the reduction
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or even elimination of non-systematic risks and achieve the specific
objectives of investors
RISK ON PORTFOLIO :The expected returns from individual securities carry some
degree of risk. Risk on the portfolio is different from the risk on individual
securities. The risk is reflected in the variability of the returns from zero to
infinity. Risk of the individual assets or a portfolio is measured by the
variance of its return. The expected return depends on the probability of
the returns and their weighted contribution to the risk of the portfolio.
These are two measures of risk in this context one is the absolute
deviation and other standard deviation.
Most investors invest in a portfolio of assets, because as to
spread risk by not putting all eggs in one basket. Hence, what really
matters to them is not the risk and return of stocks in isolation, but the
risk and return of the portfolio as a whole. Risk is mainly reduced by
Diversification.
RISK AND RETURN ANALYSIS:All investment has some risk. Investment in shares of companies has its
own risk or uncertainty; these risks arise out of variability of yields and
uncertainty of appreciation or depreciation of share prices, losses of
liquidity etc
The risk over time can be represented by the variance of the returns.
While the return over time is capital appreciation plus payout, divided by
the purchase price of the share.
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Normally, the higher the risk that the investor takes, the
higher is the return. There is, how ever, a risk less return on capital of
about 12% which is the bank, rate charged by the R.B.I or long term,
yielded on government securities at around 13% to 14%. This risk less
return refers to lack of variability of return and no uncertainty in the
repayment or capital. But other risks such as loss of liquidity due to
parting with money etc., may however remain, but are rewarded by the
total return on the capital. Risk-return is subject to variation and the
objectives of the portfolio manager are to reduce that variability and thus
reduce the risky by choosing an appropriate portfolio.
Traditional approach advocates that one security holds the
better, it is according to the modern approach diversification should not
be quantity that should be related to the quality of scripts which leads to
quality of portfolio.
Experience has shown that beyond the certain securities by adding more
securities expensive.
Simple diversification reduces:
An assets total risk can be divided into systematic plus unsystematic risk,
as shown below:
Systematic risk (undiversifiable risk) + unsystematic risk
(diversified risk) =Total risk =Var (r).
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Unsystematic risk is that portion of the risk that is unique to the firm (for
example, risk due to strikes and management errors.) Unsystematic risk
can be reduced to zero by simple diversification.
Simple diversification is the random selection of securities that are to
be added to a portfolio. As the number of randomly selected securities
added to a portfolio is increased, the level of unsystematic risk
approaches zero. However market related systematic risk cannot be
reduced by simple diversification. This risk is common to all securities.
Persons involved in portfolio management:
Investor:
Are the people who are interested in investing their funds?
Portfolio managers:
Is a person who is in the wake of a contract agreement with a
client, advices or directs or undertakes on behalf of the clients, the
management or distribution or management of the funds of the client asthe case may be.
Discretionary portfolio manager:
Means a manager who exercise under a contract relating to a
portfolio management exercise any degree of discretion as to the
investment or management of portfolio or securities or funds of clients as
the case may be
.The relation ship between an investor and portfolio manager is of
a highly interactive nature
The portfolio manager carries out all the transactions
pertaining to the investor under the power of attorney during the last two
decades, and increasing complexity was witnessed in the capital market
and its trading procedures in this context a key (uninformed) investor
formed ) investor found him self in a tricky situation , to keep track of
market movement ,update his knowledge, yet stay in the capital market
and make money , there fore in looked forward to resuming help from
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portfolio manager to do the job for him .The portfolio management seeks
to strike a balance between risks and return.
The generally rule in that greater risk more of the profits but
S.E.B.I. in its guidelines prohibits portfolio managers to promise any
return to investor.
Portfolio management is not a substitute to the inherent risks associated
with equity investment.
Who can be a portfolio manager?
Only those who are registered and pay the required license fee
are eligible to operate as portfolio managers. An applicant for this purpose
should have necessary infrastructure with professionally qualified persons
and with a minimum of two persons with experience in this business and a
minimum net worth of Rs. 50lakhs. The certificate once granted is valid
for three years. Fees payable for registration are Rs 2.5lakhs every fortwo years and Rs.1lakhs for the third year. From the fourth year onwards,
renewal fees per annum are Rs 75000. These are subjected to change by
the S.E.B.I.
The S.E.B.I. has imposed a number of obligations and a code of
conduct on them. The portfolio manager should have a high standard of
integrity, honesty and should not have been convicted of any economic
offence or moral turpitude. He should not resort to rigging up of prices,
insider trading or creating false markets, etc. their books of accounts are
subject to inspection to inspection and audit by S.E.B.I... The observance
of the code of conduct and guidelines given by the S.E.B.I. are subject to
inspection and penalties for violation are imposed. The manager has to
submit periodical returns and documents as may be required by the SEBI
from time-to- time.
Functions of portfolio managers:
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Advisory role: advice new investments, review the existing ones,
identification of objectives, recommending high yield securities etc.
Conducting market and economic service:this is essential for
recommending good yielding securities they have to study the
current fiscal policy, budget proposal; individual policies etc further
portfolio manager should take in to account the credit policy,
industrial growth, foreign exchange possible change in corporate
laws etc.
Financial analysis:he should evaluate the financial statement of
company in order to understand, their net worth future earnings,
prospectus and strength.
Study of stock market : he should observe the trends at various
stock exchange and analysis scripts so that he is able to identify
the right securities for investment
Study of industry:he should study the industry to know its future
prospects, technical changes etc, required for investment proposal
he should also see the problems of the industry.
Decide the type of port folio:keeping in mind the objectives of
portfolio a portfolio manager has to decide weather the portfolio
should comprise equity preference shares, debentures,
convertibles, non-convertibles or partly convertibles, money
market, securities etc or a mix of more than one type of proper
mix ensures higher safety, yield and liquidity coupled with balanced
risk techniques of portfolio management.
A portfolio manager in the Indian context has been
Brokers (Big brokers) who on the basis of their experience, market trends,
Insider trader, helps the limited knowledge persons. Registered merchant
bankers can acts as portfolio managers Investors must look forward, for
qualification and performance and ability and research base of the
portfolio managers.
Techniques of portfolio management:
As of now the under noted technique of portfolio management: are in
vogue in our country
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1. equity portfolio: is influenced by internal and external factors
the internal factors effect the inner working of the companys
growth plans are analyzed with referenced to Balance sheet, profit
& loss a/c (account) of the company. Among the external factor are
changes in the government policies, Trade cycles, Political stability
etc.
2. equity stock analysis: under this method the probable future
value of a share of a company is determined it can be done by
ratios of earning per share of the company and price earning ratio
EPS = PROFIT AFTER TAX
NO: OF EQUITY SHARES
PRICE EARNING RATIO = MARKET PRICE
E.P.S (earnings per share)
One can estimate trend of earning by EPS, which reflects trends of earning
quality of company, dividend policy, and quality of management.
Price earning ratio indicate a confidence of market about the company
future, a high rating is preferable
The following points must be considered by portfolio
managers while analyzing the securities.
1. Nature of the industry and its product: long term trends of
industries, competition with in, and out side the industry, Technical
changes, labour relations, sensitivity, to Trade cycle.
2. Industrial analysis of prospective earnings, cash flows,
working capital, dividends, etc.
3. Ratio analysis: Ratio such as debt equity ratios current ratios
net worth, profit earning ratio, return on investment, are worked
out to decide the portfolio.
The wise principle of portfolio management suggests that Buy when
the market is low or BEARISH, and sell when the market is
risingorBULLISH.
Stock market operation can be analyzed by:
a) Fundamental approach :- based on intrinsic value of shares
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b) Technical approach:-based on Donjons theory, Random walk
theory, etc.
Prices are based upon demand and supply of the market.
i. Traditional approach assumes that
ii. Objectives are maximization of wealth and minimization of risk.
iii. Diversification reduces risk and volatility.
iv. Variable returns, high illiquidity; etc.
Capital Assets pricing approach (CAPM) it pays more weight age, to risk
or portfolio diversification of portfolio.
Diversification of portfolio reduces risk but it should be
based on certain assessment such as:
Trend analysis of past share prices, Valuation of intrinsic value of
company (trend-marker moves are known for their Uncertainties they are
compared to be high, and low prompts of wave market trends are
constituted by these waves it is a pattern of movement based on past).
The following rules must be studied while cautious portfolio manager
before decide to invest their funds in portfolios.1. Compile the financials of the companies in the immediate past 3
years such as turn over, gross profit, net profit before tax, compare
the profit earning of company with that of the industry average nature
of product manufacture service render and it future demand ,know
about the promoters and their back ground, dividend track record,
bonus shares in the past 3 to 5 years ,reflects companys commitment
to share holders the relevant information can be accessed from the
RDC(registrant of companies)published financial results financed
quarters, journals and ledgers.
2. Watch out the highs and lows of the scripts for the past 2 to 3
years and their timing cyclical scripts have a tendency to repeat their
performance ,this hypothesis can be true of all other financial ,
3. The higher the trading volume higher is liquidity and still higher
the chance of speculation, it is futile to invest in such shares whos
daily movements cannot be kept track, if you want to reap rich returnskeep investment over along horizon and it will offset the wild intra day
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trading fluctuations, the minor movement of scripts may be ignored,
we must remember that share market moves in phases and the span
of each phase is 6 months to 5 years.
a. Long term of the market should be the guiding factor to
enable you to invest and quit. The market is now bullish and the
trend is likely to continue for some more time.
b. UN tradable shares must find a last place in portfolio apart from
return; even capital invested is eroded with no way of exit with no way
of exit with inside.
How at all one should avoid such scripts in future?
(1) Never invest on the basis of an insider trader tip in a company which
is not sound (insider trader is person who gives tip for trading in securities
based on prices sensitive up price sensitive un published information
relating to such security).
(2) Never invest in the so called promoter quota of lesser known
company
(3) Never invest in a company about which you do not have appropriate
knowledge.(4) Never at all invest in a company which doesnt have a stringent
financial record your portfolio
(4) Shuffle the portfolio and replace the slow moving sector with active
ones , investors were shatter when the technology , media, software ,
stops have taken a down slight.
(5) Never fall to the magic of the scripts dont confine to the blue chip
companys, look out for other portfolio that ensure regular dividends.
(6) In the same way never react to sudden raise or fall in stock market
index such fluctuation is movement minor corrections in stock market
held in consolidation of market their by reading out a weak player often
taste on wait for the dust and dim to settle to make your move .
PORT FOLIO MANAGEMENT AND DIVESIFICATOIN:
Combinations of securities that have high risk and return features
make up a portfolio. Portfolios may or may not take on the aggregatecharacteristics of individual part, portfolio analysis takes various
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components of risk and return for each industry and consider the effort of
combined security.
Portfolio selection involves choosing the best portfolio to suit the
risk return preferences of portfolio investor management of portfolio is a
dynamic activity of evaluating and revising the portfolio in terms of
portfolios objectives. It may include in cash also, even if one goes bad the
other will provide protection from the loss even cash is subject to inflation
the diversification can be either vertical or horizontal the vertical
diversification portfolio can have script of different companys with in the
same industry. In horizontal diversification one can have different scripts
chosen from different industries.
CEMENT INDUSTRY .TEXTILE INDUSTRY
ACC CEMENT
JK CEMENT
ULTRA TECH
BIRLA CEM
VISHNU CEM
PRIYA CEM
RAM CO CEM
RELILANCE INDUSTRIES
GARDEN SILK MILLS
NECP TEXTILE
BOMBAY DEYING
GRASIM INDUSTRIES
BORODA RAYON
CHESLIND TEXTILE
Horizontal Diversification
TISCO MANUFACTURING
ACC
GARDEN TEXTILEINFOSYS (SOFTWARE)
BSES LTD (POWER)
ULTRA TECH (CONSTRUCTION)
It should be an adequate diversification looking in to the size of
portfolio. Traditional approach advocates the more security one holds in a
portfolio , the better it is according to modern approach diversification
should not be quantified but should be related to the quality of scripts which
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leads to the quality and portfolio subsequently experience can show that
beyond a certain number of securities adding more securities become
expensive.
Investment in a fixed return securities in the current market scenario which is
passing through a an uncertain phase investors are facing the problem of lack
of liquidity combined with minimum returns the important point to both is that
the equity market and debt market moves in opposite direction .where the
stock market is booming, equities perform better where as in depressed
market the assured returns related securities market out perform equities.
It is cyclic and is evident in more global market keeping this in mind
an investor can shift from fixed income securities to equities and vise versa
along with the changing market scenario , if the investment are wisely planned
they , fetch good returns even when the market is depressed most , important
the investor must adopt the time bound strategy in differing state of market to
achieve the optimum result when the aim is short term returns it would be
wise for the investor to invest in equities when the market is in boom & it could
be reviewed if the same is done.
Maximum of returns can be achieved by following a composite pattern
of investment by having, suitable investment allocation strategy among the
available resources.
Never invest in a single securities your investment can be
allocated in the following areas:
1. Equities:-primary and secondary market.
2. Mutual Funds
3. Bank deposits
4. Fixed deposits & bonds and the tax saving schemes
The different areas of fixed income are as:-
Fixed deposits in company
BondsMutual funds schemes
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with an investment strategy to invest in debt investment in fixed deposit can
be made for the simple reason that assured fixed income of a high of 14-17%
per annum can be expected which is much safer then investing a highly
volatile stock market, even in comparison to banks deposit which gives a
maximum return of 12% per annum, fixed deposit s in high profile esteemed
will performing companies definitely gives a higher return.
BETA:
The concept of Beta as a measure of systematic risk is useful in
portfolio management. The beta measures the movement of one script in
relation to the market trend*. Thus BETA can be positive or negative
depending on whether the individual scrip moves in the same direction as
the market or in the opposite direction and the extent of variance of one
scrip vis--vis the market is being measured by BETA. The BETA is negative
if the share price moves contrary to the general trend and positive if it
moves in the same direction. The scrips with higher BETA of more than one
are called aggressive, and those with a low BETA of less than one are called
defensive.
It is therefore it is necessary, to calculate Betas for all scrips and
choose those with high Beta for a portfolio of high returns.
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INVESTMENT DECISIONS
Definition of investment:
According to F. AMLING Investment may be defined as thepurchase by an individual or an Institutional investor of a financial or real
asset that produces a return proportional to the risk assumed over some
future investment period. According to D.E. Fisher and R.J. Jordon,
Investment is a commitment of funds made in the expectation of some
positive rate of return. If the investment is properly undertaken, the return
will be commensurate with the risk of the investor assumes.
Concept of Investment:
Investment will generally be used in its financial sense and as such
investment is the allocation of monetary resources to assets that are
expected to yield some gain or positive return over a given period of time.
Investment is a commitment of a persons funds to derive future income in
the form of interest, dividends, rent, premiums, pension benefits or the
appreciation of the value of his principal capital.
Many types of investment media or channels for making
investments are available. Securities ranging from risk free instruments tohighly speculative shares and debentures are available for alternative
investments.
All investments are risky, as the investor parts with his money. An
efficient investor with proper training can reduce the risk and maximize
returns. He can avoid pitfalls and protect his interest.
There are different methods of classifying the investment
avenues. A major classification is physical Investments and Financial
Investments. They are physical, if savings are used to acquire physical
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assets, useful for consumption or production. Some physical
assets like ploughs, tractors or harvesters are useful in agricultural
production. A few useful physical assets like cars, jeeps etc., are useful in
business.
The investment process may be described in the following
stages:
Investment policy:
The first stage determines and involves personal financial
affairs and objectives before making investment. It may also be called the
preparation of investment policy stage. The investor has to see that he
should be able to create an emergency fund, an element of liquidity and
quick convertibility of securities into cash. This stage may, therefore be called
the proper time of identifying investment assets and considering the various
features of investments.
investment analysis:
After arranging a logical order of types of investment preferred,
the next step is to analyze the securities available for investment. The
investor must take a comparative analysis of type of industry, kind of
securities etc. the primary concerns at this stage would be to form beliefs
regarding future behavior of prices and stocks, the expected return and
associated risks
.Investment valuation:
Investment value, in general is taken to be the present worth to theowners of future benefits from investments. The investor has to bear in mind
the value of these investments. An appropriate set of weights have to be
applied with the use of forecasted benefits to estimate the value of the
investment assets such as stocks, debentures, and bonds and other assets.
Comparison of the value with the current market price of the assets allows a
determination of the relative attractiveness of the asset allows a
determination of the relative attractiveness of the asset. Each asset must be
value on its individual merit.
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Portfolio construction and feed-back:
Portfolio construction requires knowledge of different
aspects of securities in relation to safety and growth of principal, liquidity of
assets etc. In this stage, we study, determination of diversification level,
consideration of investment timing selection of investment assets, allocation
of invest able wealth to different investments, evaluation of portfolio for
feed-back.
INVESTMENT DECISIONS- GUIDELINES FOR EQUITY
INVESTMENT
Equity shares are characterized by price fluctuations, which can
produce substantial gains or inflict severe losses. Given the volatility and
dynamism of the stock market, investor requires greater competence and
skill-along with a touch of good luck too-to invest in equity shares. Here are
some general guidelines to play to equity game, irrespective of weather you
aggressive or conservative.
Adopt a suitable formula plan.
Establish value anchors. Assets market psychology.
Combination of fundamental and technical analyze.
Diversify sensibly.
Periodically review and revise your portfolio.
Requirement of portfolio:
1. Maintain adequate diversification when relative values of varioussecurities in the portfolio change.
2. Incorporate new information relevant for return investment.
3. Expand or contrast the size of portfolio to absorb funds or with draw
funds.
4.Reflect changes in investor risk disposition.
Qualitiles For successful Investing:
Contrary thinking
Patience
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Composure
Flexibility
Openness
INVESTORS PORTFOLIO CHOICE:
An investor tends to choose that portfolio, which yields him
maximum return by applying utility theory. Utility Theory is the foundation
for the choice under uncertainty. Cardinal and ordinal theories are the two
alternatives, which is used by economist to determine how people and
societies choose to allocate scare resources and to distribute wealth
among one another.
The former theory implies that a consumer is capable of assigning
to every commodity or combination of commodities a number
representing the amount of degree of utility associated with it. Were as
the latter theory, implies that a consumer needs not be liable to assign
numbers that represents the degree or amount of utility associated with
commodity or combination of commodity. The consumer can only rank
and order the amount or degree of utility associated with commodity.
In an uncertain environment it becomes necessary to ascertain
how different individual will react to risky situation. The risk is defined as
a probability of success or failure or risk could be described as variability
of out comes, payoffs or returns. This implies that there is a distribution of
outcomes associated with each investment decision. Therefore we can say
that there is a relationship between the expected utility and risk. Expected
utility with a particular portfolio return. This numerical value is calculated
by taking a weighted average of the utilities of the various possible
returns. The weights are the probabilities of occurrence associated with
each of the possible returns.
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MARKOWITZ MODEL
THE MEAN-VARIENCE CRITERION
Dr. Harry M.Markowitz is credited with developing the first
modern portfolio analysis in order to arrange for the optimum allocation of
assets with in portfolio. To reach this objective, Markowitz generated
portfolios within a reward risk context. In essence, Markowitzs model is a
theoretical framework for the analysis of risk return choices. Decisions are
based on the concept of efficient portfolios.
A portfolio is efficient when it is expected to yield the highest
return for the level of risk accepted or, alternatively, the smallest portfolio
risk for a specified level of expected return. To build an efficient portfolioan expected return level is chosen, and assets are substituted until the
portfolio combination with the smallest variance at the return level is
found. At this process is repeated for expected returns, set of efficient
portfolio is generated.
ASSUMPTIONS:
1. Investors consider each investment alternative as being
represented by a probability distribution of expected returns over
some holding period.
2. Investors maximize one period-expected utility and posses utility
curve, which demonstrates diminishing marginal utility of wealth.
3. Individuals estimate risk on the risk on the basis of the variability
of expected returns.
4. Investors base decisions solely on expected return and variance or
returns only.
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5. For a given risk level, investors prefer high returns to lower return
similarly for a given level of expected return, Investors prefer risk
to more risk.
Under these assumptions, a single asset or portfolio
of assets is considered to be efficient if no other asset or portfolio of
assets offers higher expected return with the same risk or lower risk with
the same expected return.
THE SPECIFIC MODEL
In developing his model, Morkowitz first disposed of the
investment behavior rule that the investor should maximize expected
return. This rule implies that the non-diversified single security portfolio
with the highest return is the most desirable portfolio. Only by buying that
single security can expected return be maximized. The single-security
portfolio would obviously be preferable if the investor were perfectly
certain that this highest expected return would turn out be the actual
return. However, under real world conditions of uncertainty, most risk
adverse investors join with Markowitz in discarding the role of calling formaximizing expected returns. As an alternative, Markowitz offers the
expected returns/variance of returns rule.
Markowitz has shown the effect of diversification by reading
the risk of securities. According to him, the security with covariance which
is either negative or low amongst them is the best manner to reduce risk.
Markowitz has been able to show that securities which have less than
positive correlation will reduce risk without, in any way bringing the return
down. According to his research study a low correlation level between
securities in the portfolio will show less risk. According to him, investing in
a large number of securities is not the right method of investment. It is
the right kind of security which brings the maximum result.
CONSTRUCTION OF THE STUDY
Purpose of the study:
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The purpose of the study is to find out at what percentage of
investment should be invested between two companies, on the basis of
risk and return of each security in comparison. These percentages helps in
allocating the funds available for investment based on risky portfolios.
Implementation of study:
For implementing the study,8 securitys or scripts constituting the
Sensex market are selected of one month closing share movement price
data from Economic Times and financial express from Jan 3rd to 31st Jan
2008.
In order to know how the risk of the stock or script, we use the
formula, which is given below:
Standard deviation = variance
n _
Variance = (1/n-1) (R-R) ^2
t =1
Where (R-R) ^2=square of difference between sample and mean.
n=number of sample observed.
After that, we need to compare the stocks or scripts of two companies
with each other by using the formula or correlation co-efficient as givenbelow.
Co-variance(COVAB) = 1/n (RA-RA) (RB-RB)
t =1
(COV AB)Correlation-Coefficient (P AB) = --------------------- (Std. A) (Std. B)
Where (RA-RA) (RB-RB) = Combined deviations of A&B
(Std. A) (Std B) =standard deviation of A&B
COVAB= covariance between A&B
n =number of observation.
The next step would be the construction of the optimal portfolio on the
basis of what percentage of investment should be invested when two
securities and stocks are combined i.e. calculation of two assets portfolio
weight by using minimum variance equation which is given below.
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FORMULA (Std. b) ^2 pab (Std. a) (Std. b) Xa =------------------- -------------------------
(Std. a) ^2 + (std. b) ^2 2pab (Std. a) (Std. b)
Where
Std. b= standard deviation of b
Std. a = standard deviation of a
Pab= correlation co-efficient between A&B
The next step is final step to calculate the portfolio risk (combined risk)
,that shows how much is the risk is reduced by combining two stocks or
scripts by using this formula:
p= X1^21^2+X2^22^2+2(X1)(X2)(X12)1
Where
X1=proportion of investment in security 1.
X2=proportion of investment in security 2.
1= standard deviation of security 1.
2= standard deviation of security 2.X12=correlation co-efficient between security 1&2.
p=portfolio risk
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COMPANY PROFILE
ARIHANT CAPITAL MARKETS LIMITED
Introduction
Arihant Capital Markets Limited is a leading financial intermediary
established in 1994. Arihant is managed by a team of experienced and
qualified professionals across all the Levels of management. The company
is promoted by Mr. Ashok Kumar Jain, a Chartered Accountant having
more than 20 years of experience in capital markets. Arihant has been on
a growth path under his able leadership and rich experience. He has been
our guide all throughout our success path. His values of integrity and
transparency have been inculcated in over the years Arihant has played a
successful role in client's wealth creation. In the Process Arihant also
refined itself, as an investment advisor and is poised to provide Complete
Investment Management Solutions Arihant's values of integrity and
transparency in all its transactions are embedded deep into roots helps it
to provide excellent services, steady growth and complete satisfaction toall its clients. Arihant strongly believes that success is only the end result
of client's growth. Arihant has followed a consistent growth path and is
established as one of the leading broking houses of the country with the
support and confidence of clients, Investors, employees and associates.
Services
Over the period of time Arihant has acquired memberships of
National Stock Exchange (NSE), Bombay Stock Exchange (BSE), National
Securities Depositories Limited (NSDL), Central Depository Services Ltd.
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(CDSL), National Commodities Exchange (NCDEX), Multi Commodities
Exchange (MCX) and also registered with SEBI for Portfolio Management
Services (PMS).Over the period of time Arihant has acquired memberships
of National Stock Exchange (NSE), Bombay Stock Exchange (BSE),
National Securities Depositories Limited (NSDL), Central Depository
Services Ltd. (CDSL), National Commodities Exchange (NCDEX), Multi
Commodities Exchange (MCX) and also registered with SEBI for Portfolio
Management Services (PMS)
VISION
To be a leader in setting standards for quali ty, investor
satisfaction and to enhance the wealth of our investors.
PHILOSOPHY
Integrity and transparency in all transactions.
Providing investment solutions based on quality and unbiased
research.
Providing personalized services to all investors, institutions, business
associates.
Achieving success through client's growth.
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MILE STONES
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RESOURCES
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People...Arihant has always invested in quality human resources
continuously striving to provide Best services to valued clientele. Arihant's
strong pool consists of a team of 200+ Professionals including CAs, CS.
MBAs. Engineers. Arihant's professionals are fully geared towards
achieving excellence in the field of equity research, investment advisory,
derivative strategies, efficient execution, customer relationship and back
office Operations.
Infrastructure...
In its efforts to continuously provide value added services Arihant has
adopted latest technology and offers excellent execution and post sales
support at all branches. Arihant'sWeb enabled back office operationsenables clients to have online information about their transactions. Arihant
ensures continuous information flow to clients on their mobile phones
through SMS and on their desktops through email and chat. Arihant uses
latest Software for market analysis in order to ensure continuous
information flow to clients.Arihant also provides trading terminals at
client's location through CTCL technology providing live trading at their
ownlocations.
Network...
Arihant has a strong network of 150+ branches/business associates
providing services to a more than 50000+ number of active retail clients
across the country. Arihant provides complete investment solutions to
clients offering a gamut of products and services. All branches are
equipped to provide complete advisory to clients for investments in
equities, derivatives, commodities, mutual funds and bonds.
RESEARCH
Fundamental Equity Research
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Arihant has a strong team of analysts covering large cap, mid cap & small
cap companies across sectors. Arihant research team is credited with the
discovery of a number of multi-Baggers creating immense wealth for
investors. Arihant's research reports have clarity, Accuracy, in-depth
coverage and the latest information about companies.
Technical Equity Research
Arihant provides technical analysis on various securities and markets on
website as well as on e-mail to valued clientele. Arihant also provides "On
line market commentary" to make the intra day trading more profitable
and for minimizing the risk of investors. Arihant's analysts' team keeps
minute-to-minute track of the market and broadcasts buy and sell
recommendations on the basis of market momentum. Arihant's research
team sends trading and investment call alerts on daily basis on mobile
phones. This facility is available free of cost to all investors, associates
and active traders.
ABOUT MANAGEMENT
Arihant is managed by a team of experienced and qualified professionals
across all the levels of management. The company is promoted by Mr.
Ashok Kumar Jain, a Chartered Accountant. The company currently
employs more than 200+ professionals dedicatedly Working in equity
research, risk management, marketing and wealth management.
KEY PERSONNEL
M. AshokJain, Chairman
Arihant has been on a growth path under his able leadership and rich
experience. He is a Chartered Accountant aged 50 years having more than
20 years of experience in capital markets. He has been our guide all
throughout our success path. His values of integrity and transparency
have been inculcated in all our employees. He always innovates new
ideas, adapt latest technology so as to provide quality andunbiasedinvestmentsolutiontotheinvestors.
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Ms Anita Gandhi, Head Institutional Business
A Chartered Accountant having overall 12 years experience in Financial-
Services and 6 Years of experience in the Manufacturing Industry. She is
with the organization since June, 2002. She is instrumental in setting up
Mutual Funds Distribution and Research wing of the company. She is
overall in-charge of the Institutional business of the Company.
Mr.ArpitAgrawal,HeadEquityResearch
A Chartered Accountant with an experience of 5 years in Financial
Services, Management Consulting and Financial Audit. He joined Arihant inNov 2008 and played an important role in new technology initiatives,
business development and equity research. He is presently handling
portfolio management and investment advisory division of the company.
MrRakeshGarg,CTO
His administrative and technical skills help us to continuously improve our
operations and provide excellent services to all our clients. A Company
Secretary by profession, he has been in the forefront of our technology
drive ensuring completely web-enabled back-office providing prompt
services to our clients.
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Mutual Funds
High Cost
Standard investment
approach
Lack of flexibility
reducing returns
Large corpus return
negative
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What you get?
Professional Management: t
specialist investment team through disciplined investment
process, who look over the portfolios constantly, reacting
instantly to changes and taking investment decisions on your
behalf. These decisions are based on many years of experience, a
deep understanding of the market and the latest, most
comprehensive investment research.
Continuous Monitoring : You are always informed abo
investment decisions.
Hassle Free Operation : High standards of service a
complete portfolio transparency.
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EQUITY BROKING BSE AND NSE
Arihant provides online trading facility to retail clients, High Net worth
Individuals (HNI's ). Through branches, sub-brokers, franchisees and
remises. All its offices are connected to the exchange through leased lineor VSAT technology. Arihant also uses CTCL technology to provide trading
terminals at investors home or office. Arihant has appointed experienced
and NCFM CERTIFIED dealers at all its branches making "share trading
just a phone call away' for valued clientele. Arihant's trading facilities are
supported by equity research input which are available online as well as
offline. Arihantensures complete client satisfaction by a routine audit of
service standards.
DERIVATIVES (FUTURES AND OPTIONS)
Arihant offers online derivative trading facilities. Arihant provides support
in terms of recommending trading strategies for derivatives and
monitoring of positions of clients. Arihant has a derivative research team,
which keeps working on new trading strategies on a continuous basis.
Arihant team is able to provide clients with the best possible derivative
products in the constantly expanding market.
FUTURES
A Future is financial contract obligating the buyer to purchase an asset (or
the seller to sell an asset), such as a physical commodity or a financial
instrument, at a predetermined future date and price. Futures contracts
detail the quality and quantity of the underlying asset; they are
standardized to facilitate trading on a futures exchange. Some futures
contracts may call for physical delivery of the asset, while others are
settled in cash. The futures markets are characterized by the ability to use
very high leverage relative to stock markets
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ADVISORY SERVICES
On Investments in Equity
On both primary and secondary markets
On both local and offshore
On mutual funds
Port folio management services
On Commodities & Currencies
On Arbitrage Opportunities
Financial planning services
MARCHANT BANKING SERVICES
Arihants Merchant Banking Division is strongly positioned to offer
perfect financial solutions to your business. We are registered with
SEBI as Category I Merchant Banker. At Arihant we believe that
meeting our clients needs requires an in-depth knowledge and
understanding of the financial markets, thorough knowledge of
industry dynamics, individual strategic issues and competitive
challenges. Our merchant banking team comprises of leading
professionals who deliver high-quality strategic advice and creative
financing solutions to our clients including capital issues, corporate
and financial restructuring, private equity, mergers and acquisitions.
Situations range from determining the appropriate capital structure
for a leveraged buy-out, advising a company on a merger,
structuring the Initial public offering of a subsidiary or managing a
reverse book building. We have a devoted team and office in Mumbai
which is exclusively dedicated to financial services offerings. This
office houses the Merchant banking and allied financial services such
as research, HNI services. Our large retail base and nation-wide
presence supplements the specialized Merchant Banking activities.
Our association with institutional investors and companies via
research route augments business acquisition and execution for
Investment Banking services.
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Our approach is characterized by an emphasis on developing strong
relationships with clients through: Long-term commitment
Understanding the needs and businesses of our clients Focusing on
adding value through the generation of new ideas for business
development and in the structuring, negotiation and execution of
transactions Building close working relationships at all levels
DEPOSITORY SERVICES
Arihant is a depository participant with National Securities Depositories
Limited(NSDL) and Central Depository Services Limited(CDSL).Arihant
offers depository facility at attractive rates to investors and traders. The
depository operations are net enabled and user friendly. Arihant gives
complete support to clients in dematerialization of their physical shares.
Holding statements are regularly sent to clients and are also available on
emails.
UNIQICNESS OF ARIHANTH
At Arihant, you can enjoy a personal relationship with our executives. You
will benefit from an outstanding service, up-to-date technology,
comprehensive financial products And services, complete guidance and
support. That is not it. We make constant endeavor to understand your
needs and make every effort to fulfill them. We strongly believe that our
clients growth is strongly correlated to our growth.
Personal Relationship
At Arihant we believe that it is not just the product or service that we are
offering, it is a relationship we are building with our clients. Being a client
you deserve a personal relationship based on trust, reliability,
understanding and respect. This relationship is the underpinning from
which we will support you in meeting your financial objective. Our clients
growth is our objective.
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Unbiased and comprehensive Research
We can help you make more informed decisions through our in-depth,
unbiased research. Whether you want help managing your own portfolio
or want us to manage it for you, youll get investment guidance and
portfolio planning thats right for you. Our research team will offer
excellent investment opportunities, will help you identify significant
market trends, and will make sure that the information
reaches you at the earliest. We will provide you an integrated approach of
fundamental and technical research. Short-term, long-term or intraday
trading, whatever your investment objective, we will meet your needs.
Our solitary objective is to help you achieve your goals.
Nationwide branch/franchisee network
Our offices are scattered all over the country. Get individualized
assistance and personal guidance by visiting one of our nationwide
branches or franchisee near you. Our executive will guide you about all
the products and services we offer to help you meet your investment
needs. Whatever you require, well cater to your need.
Potent Trading and Service tools
We have made transacting with markets convenient for you. You can seize
potential market opportunities with our online trading tools. Whether you
are at office, at home, on a holiday or on the move, with our online
services you can - trade, view your trade orders and bill summary,
subscribe for IPO, view your DP holdings from wherever you want1[1]. Ourinternet trading portal gives you continuous flow of market information
and investment opportunities. We have sophisticated, state-of- the-art
order routing technology which allows speedy and accurate execution of
your orders. We offer full Backoffice support through internet. All this is
for you to make informed decisions on time and with convenience
1
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Excellent service and complete support
Were here for you. On the phone, through email, or one-on-one through
personal service. No matter what level of support you need, our
executives are always ready to assist you. We have always been known to
provide quality and genuine information. To make our dealings convenient
for you, we offer doorstep servicei[2] to our valued clients whether it is
regarding collection of payments.
BOARD OF DIRECTORS
Size and Composition of the Board:
The current policy of your Company is to have an optimum combination of
executive and Non executive directors, with not less than 50 per cent
consisting of no executivedirectorsto maintain the independence of the
Board, and to separate the Board functions of governance and
management. Besides, with an Executive Director as the head of the
Board, half of the Board members are independent directors. This is aptly
in conformity with the provisions of the amended clause 49. The Board, at
present consists of 6members and the Board believes that the current
sizeis appropriate, based on the Companys present circumstances The
composition of the Board and the number of outside directorships held by
each of the Directors is given in the table below:
Mr. Ashok Kumar Jain Executive 3
Mr. Sunil Kumar Jain Non-
Executive 3Mr. Ashish Maheshwari Non-
Executive1Mr. Achilles Rathi Independent 1
Mr. Pramod Devpura Independent
NILMr. Rakesh Jain Independent NIL
.
DATA ANALYSIS
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Calculation of return of ICICI
Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 141.45 295.45 7.50
2005 297.90 371.35 7.50
2006 375.00 585.05 8.50
2007 587.70 891.5 8.50
2008 892.00 1238.7 10.00
Return=Dividend+(Ending Price-Beginning price)Beginning Price
Return(2004)= 7.50+(295.45-141.45) * 100 = 114.17%141.45
Return(2005) = 7.50+(371.35-297.90) * 100 = 27.17%297.90
Return(2006) = 8.50+(585.05-375) * 100 =58.28%375
Return(2007) = 8.50+(891.5-587.70) * 100 =53.13%
587.70
Return(2008) = 10.00+(1238.7-892) * 100 =39.98%892
CALCULATION OF RETURN OF HDFC
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Return = Dividend+(Ending Price-Beginning price)
Beginning Price
Return(2004) = 3+(645.55-358.5) *100 =80.9%358.5
Return(2005) = 3.50+(769.05-645.9) * 100 =19.60%645.9
Return(2006) = 4.50+(1207-771) * 100 =57.13%771
Return(2007) = 5.00+(1626.9-1195) * 100 =36.6%
1195.9
Return(2008) = 7.00+(2877.75-1630) * 100 =76.97%1630
Calculation of return of WIPRO
Year Beginning
Price
Ending price Dividend
2004 358.5 645.55 3
2005 645.9 769.05 3.50
2006 771 1207 4.50
2007 1195 1626.9 5.50
2008 1630 2877.75 7.00
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Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 1630.60 1736.05 1.00
2005 1752.00 748.8 29.00
2006 755.00 463.35 5.00
2007 462.00 605.9 5.00
2008 603.00 525.65 8.00
Return=Dividend+(Ending Price-Beginning price)Beginning Price
Return(2004) = 1.00+(1736.05-1630.60) * 100 = 8.184%1630.60
Return(2005) = 29.00+(748.8-1752.00) * 100 = -55.60%1752.00
Return(2006) = 5.00+(463.35-755.00) * 100 = -37.96%755.00
Return(2007) = 5.00+(605.9-462.00) * 100 = 32.23%462.00
Return(2008) = 8.00+(525.65-603.00) * 100 = -11.5%
603.00
Calculation of return of ITC
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Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 667 983.5 15
2005 990 1310.75 202006 1318.95 142.1 31.80
2007 142 176.1 2.65
2008 176.5 209.45 3.10
Return=Dividend+(Ending Price-Beginning pBeginning Price
Return (2004) =15+(983.5-667) * 100 = 49.7%667
Return (2005) =20+ (1310.75-990) * 100 = 34.4%990
Return (2006) = 31+(142.1-1318.95) * 100 = 86.87%1318.95
Return (2007) = 2.65+(176.1-142) * 100 = 25.8% 142
Return (2008) =3.10+(209.45-176.5) * 100 = 20.45176.5
Calculation of return of COLGATE&PALMOLIVE
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Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 133.65 159.7 6.75
2005 161.5 179.1 6.752006 179.2 269.15 7.25
2007 270.5 388.45 6.00
2008 390.9 382.1 11.25
Return=Dividend+(Ending Price-Beginning pBeginning Price
Return (2004) =6.75+(159.7-133.65) * 100 = 24.5%133.65
Return (2005) =6.75+(179.1-161.5)* 100 = 13.58161.5
Return (2006) =7.25+(269.15-179.2) * 100 = 54.2179.2
Return (2007) =6.00+(388.45-270.5) * 100 = 45.8270.5
Return (2008)=11.25+(382.1-390.9) * 100 = 0.62390.9
Calculation of return of CIPLA
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Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 898.00 1371.05 10.00
2005 1334.00 317.8 3.002006 320.00 448 3.50
2007 447.95 251.35 2.00
2008 251.5 212.65 2.00
Return=Dividend+(Ending Price-Beginning price)Beginning Price
Return (2004) =10.00+(1375.05-898.00) * 100 = 54.23%898.00
Return (2005) = 3.00+(317.8-1334.00) * 100 = -75.95%1334
Return (2006) = 3.50+(448-320.00) * 100 = 41.09%320
Return (2007) = 2.00+(251.35-447.95) * 100 = -43.44%447.95
Return (2008) = 2.00+(212.65-251.5) * 100 = -14.65%251.5
Calculation of return of RANBAXY
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Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 598.45 1095.25 15.00
2005 1109.00 1251.15 17.002006 1268 362.75 14.50
2007 363 391.8 8.50
2008 391 425.5 8.50
Return=Dividend+(Ending Price-Beginning price)Beginning Price
Return (2004) = 15.00+(1095.25-598.45) * 100 = 85.52%598.45
Return (2005) = 17.00+ (1251.15-1109.00) * 100 = 14.35%1109
Return (2006) = 14.50+ (362.75-1268.00) * 100 = -70.24%1268.00
Return (2007) = 8.50+ (391.8-363) * 100 = 10.27%363
Return (2008) = 8.50+ (425.5-391.00) * 100 = 10.99%391.00
Calculation of return of MAHENDRA&MAHENDRA
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Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 113.45 388.8 5.50
2005 392.55 545.45 9.002006 547.10 511.6 13.00
2007 514.80 908.45 10.00
2008 913.00 861.95 11.50
Return=Dividend+(Ending Price-Beginning pBeginning Price
Return (2004) =5.50+ (388.8-113.45) * 100 = 247.55%113.45
Return (2005)=9.00+(545.45-392.55)*100 = 41.24%392.55
Return (2006) = 13.00+ (511.6-547.10) * 100 = _-4.11%547.10
Return (2007) =10.00+ (908.45-514.80) * 100 = 78.41%514.50
Return (2008) =11.50+(861.95-913.00) * 100 = -4.3%913.00
Calculation of return of BAJAJ AUTO
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Year Beginning
price(Rs)
Ending
price(Rs)
Dividend(Rs)
2004 502 1136.3 14.00
2005 1125.05 1131.2 25.002006 1149.00 2001.1 25.00
2007 2016.00 2619.15 40.00
2008 2648.65 2627.9 40.00
Return=Dividend+(Ending Price-Beginning pBeginning Price
Return (2004) =14.00+ (1136.3 -502) * 100 = 129.14%502
Return (2005) =25.00+ (1131.2-1125.05)* 100 = 2.77%1125.05
Return (2006) = 25.00+ (2001.1-1149.00) * 100 = _76.34%1149.00
Return (2007) =40.00+ (2619.15-2016.00) * 100 = 31.9%2016.00
Return (2008)=40.00+(2627.9-2648.65) * 100 = 0.726%2648.65
Calculation of standard deviation of ICICI
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Year Return (R)
_
R
_
R-R
_
( R-R )2
2004 114.7 58.652 56.048 3486.6
2005 27.17 58.652 -31.482 991.11
2006 58.28 58.652 -0.372 0.138384
2007 53.13 58.652 -5.522 30.492
2008 39.98 58.652 -18.672 348.64
293.26 4856.98
_
Average (R) = R = 293.26 = 58.652N 5
_
Variance = 1 (R-R) 2
N-1
Standard Deviation = Variance
= 1 (11905.379)
5-1
= 34.846
Calculation of standard deviation of HDFC
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Year Return (R)
_
R
_
R-R
_
( R-R )2
2004 80.9 54.24 26.66 710.75
2005 19.60 54.24 -34.64 1199.92
2006 57.13 54.24 2.89 8.3521
2007 36.6 54.24 -17.64 311.16
2008 76.97 54.24 22.73 516.65
271.2 2476.8
_
Average (R) = R = 271.2 = 54.24N 5
_
Variance = 1 (R-R) 2N-1
Standard Deviation = Variance
= 1 (2476.8)
5-1
= 24.88
Calculation of standard deviation of WIPRO
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_
Average (R) = R = -64.646 = -12.93N 5
_
Variance = 1/n-1 (R-R) 2
Standard Deviation = Variance
= 1 (4934.5)4
= 35.12
Calculation of standard deviation of ITC
Year Return (R)
_
R
_
R-R
_
( R-R )2
2004 8.184 -12.93 21.114 445.81
2005 -55.60 -12.93 -42.67 1820.73
2006 -37.96 -12.93 -25.03 626.5
2007 32.23 -12.93 45.16 2039.4
2008 -11.5 -12.93 1.43 2.0449
-64.646 4934.5
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Year Return
(R)
_
R
_
R-R
_
( R-R )2
2004 49.7 8.686 41.04 1682.14
2005 34.4 8.686 25.714 661.209
2006 -86.87 8.686 -95.556 9130.94
2007 25.8 8.686 17.114 293.88
2008 20.4 8.686 11.714 137.21
43.43 11905.379
_
Average (R) = R = 43.43 = 8.686N 5
__
Variance = 1 (R-R) 2N- 1
Standard Deviation = Variance
= 1 (11905.379)5-1 __
S.D = 54.55
Calculation of standard deviation of COLGATE&PALMOLIVE
Year Return
_
R
_
R-R
_
( R-R )2
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(R)
2004 24.5 27.74 -3.24 10.5
2005 13.58 27.74 -14.16 200.52006 54.2 27.74 26.46 700.13
2007 45.8 27.74 18.06 326.16
2008 0.62 27.74 -27.12 735.5
138.7 27.74 1972.79
__Average R = R
N
= 138.7 = 27.745
__
Variance = 1 (R-R) 2N-1
Standard Deviation = Variance
1 (1972.79)4
= 22.2
Calculation of standard deviation of CIPLA
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Year
Return (R)
_
R
_
R-R
_
( R-R )2
2004 54.23 -7.744 61.974 3840
2005 -75.95 -7.744 -68.206 4652
2006 41.09 -7.744 48.834 2384
2007 -43.44 -7.744 -35.696 1274
2008 -14.65 -7.744 -6.906 47.692
-38.72 12197.692
_
Average (R) = R = -38.72 = -7.744n 5
_
Variance = 1/n-1 (R-R)2
Standard Deviation = Variance _
= 1 (12197.692)4
=55.22
Calculation of standard deviation of RANBAXY
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_
Average (R) = R = 50.89 = 10.18n 5
Variance = 1 (R-R) 2n-1
Standard Deviation = Variance
= 1(12161)4
= 55.13
Calculation of standard deviation of MAHENDRA&MAHENDRA
Year Return (R)
_
R
_
R-R
_
( R-R )2
2004 85.52 10.18 75.34 5676
2005 14.35 10.18 4.17 17.39
2006 -70.24 10.18 -80.42 6467
2007 10.27 10.18 0.09 0.0081
2008 10.99 10.18 0.81 0.6561
50.89 12161
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Year Return
(R)
_
R
_
R-R
_
( R-R )2
2004 247.45 71.758 175.79 30902.8
2005 41.24 71.758 -30.52 931.47
2006 -4.11 71.758 -75.868 5755.95
2007 78.41 71.758 6.652 44.25
2008 -4.3 71.758 -76.058 5784.82
358.79 43419.3
__
Average R = Rn
= 358.79 =71.7585
__
Variance = 1 (R-R) 2n-1
Standard Deviation = Variance
= 1 (43419.3) = 104.1864
Calculation of standard deviation of BAJAJ AUTO
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Year Return
(R)
_
R
_
R-R
_
( R-R )2
2004 129.14 48.175 80.965 6555.3
2005 2.77 48.175 -45.405 2061.6
2006 76.34 48.175 28.165 793.3
2007 31.9 48.175 -16.275 264.9
2008 0.726 48.175 -47.449 2251.4
240.876 11926.5
__
Average R = RN
= 240.876 = 48.1755
__
Variance = 1 (R-R) 2
N-1
Standard Deviation = Variance
= 1 (11926.5)
4
= 54.6
Correlation between HDFC & ICICI
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Year
DEVIATIONOFHDFC
___
RA-RA
DEVIATION OF ICICI
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 26.66 56.048 1494.24
2005 -34.64 -31.482 1090.5
2006 2.89 -0.372 -1.075
2007 -17.64 -5.522 97.41
2008 22.73 -18.672 -424.4
2256.675
n
Co-variance (COVAB) =1/n (RA-RA) (RB-RB)
t=1
Co-variance (COVAB)=1/5 (2256.675)
=451.335
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 451.335(24.88) (34.846)
= 0.5206
Correlation between WIPRO& SATYAM
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Year
DEVIATION OF
WIPRO
___
RA-RA
DEVIATION OF
SATYAM
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 21.114 15.176 320.426
2005 -42.67 -4.694 200.30
2006 -25.03 62.996 1576.79
2007 45.16 -49.994 2257.73
2008 1.43 -23.484 33.582
4388.83
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (4388.83)
=877.766
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 877.766(35.123) (42.63)
=0.586
Correlation between ITC&COLGATE -PALMOLIVE
-
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Year
DEVIATIONOF ITC
___
RA-RA
DEVIATION OF
COLGATE-
PALMOLIVE
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)
2004 41.04 -3.24 -132.97
2005 25.714 -14.16 -364.1
2006 -95.556 26.46 -2528.4
2007 17.114 18.06 309.07
2008 11.714 -27.12 -317.68
-3034.08
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (-3034.08)
=-606.816
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= - 606.816
(54.55) (22.21)
= - 0.5008
Correlation between CIPLA & RANBAXI
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Year
DEVIATION 0F
CIPLA
___
RA-RA
DEVIATION OF
RANBAXI
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 61.974 75.34 4669.12
2005 -68.206 4.17 -284.42
2006 48.834 -80.42 -3927.23
2007 -35.696 0.09 -3.213
2008 -6.906 0.81 -5.59
448.667
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 448.667
= 89.7334
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 89.7334(55.22)(55.13)
=0.0295
Correlation between BAJAJ AUTO &MAHENDRA
-
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Year
DEVIATIONOF
BAJAJ
___
RA-RA
DEVIATION OF M&M
___
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 80.965 175.79 14232.84
2005 -45.405 -30.52 1385.76
2006 28.165 -75.868 -1909.22
2007 -16.275 6.652 -108.26
2008 -47.449 -76.058 3608.87
17210
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (17210)
=3442
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 3442(54.60) (104.586)
= 0.605
Correlation between HDFC&WIPRO
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Year
DEVIATION OF
HDFC
___
RA-RA
DEVIATION OF
WIPRO
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 26.06 21.114 550.23
2005 -34.64 -42.67 1478.1
2006 2.89 -25.03 -72.34
2007 -17.64 45.16 -796.6
2008 22.73 1.43 32.50
1191.89
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (1191.89)
=238.38
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 238.38(24.88) (35.123)
=0.273
Correlation between BAJAJ& ITC
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Year
DEVIATION OF
BAJAJ
___
RA-RA
DEVIATION OF ITC
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 80.965 41.04 3322.80
2005 -45.405 25.714 -1167.54
2006 28.165 -95.556 -2691.33
2007 -16.275 17.114 -278.53
2008 -47.449 11.714 -555.82
-1370.42
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (-1370.42)
=-274.08
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= - 274.08(54.60) (54.55)
=-0.092
Correlation between CIPLA& HDFC
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Year
DEVIATION OF
CIPLA
___
RA-RA
DEVIATION OF HDFC
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 61.974 26.06 1615.04
2005 -68.206 -34.64 2362.66
2006 48.834 2.89 141.13
2007 -35.696 -17.64 629.68
2008 -6.906 22.73 -156.97
4591.54
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (4591.54)
=918.31
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 918.31(55.22) (24.88)
=0.668
Correlation between RANBAXY&WIPRO
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Year
DEVIATION OF
RANBAXY
___
RA-RA
DEVIATION OF
WIPRO
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 75.34 21.114 1590.73
2005 4.17 -42.67 -177.93
2006 -80.42 -25.03 2012.91
2007 0.09 45.16 4.0644
2008 0.81 1.43 1.158
3430.93
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (3430.93)
=686.19
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 686.19(55.13)(35.123)
= 0.354
Correlation between CIPLA&BAJAJ
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Year
DEVIATION OF
CIPLA
___
RA-RA
DEVIATION OF
BAJAJ
__
RB-RB
COMBINED DEVIATION
___ ___
(RA-RA ) (RB-RB)2004 61.974 80.965 5017.72
2005 -68.206 -45.405 3096.90
2006 48.834 28.165 1375.41
2007 -35.696 -16.275 580.95
2008 -6.906 -47.449 327.68
10398.70
n
Co-variance(COVAB)=1/n (RA-RA) (RB-RB)
t=1
Co-variance(COVAB)=1/5 (10398.70)
=2079.74
Correlation Coefficient (PAB) = COV AB(Std. A) (Std. B)
= 2079.74(55.22)(54.60)
= 0.690
STANDARD DEVIATION
COMPANY STANDARED
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DEVIATIONITC 54.55COL-PAL 22.21BAJAJ 54.60M&M 104.186
HDFC 24.88ICICI 34.846RANBAXY 55.13WIPRO 35.123CIPLA 55.22
Standared deviation
0
20
40
60
80
100
120
IT
COL-P
BAJA
M&
HDF
ICIC
RANB
A
WIPR
CIPL
Series2
AVERAGE
COMPANY AVERAGE
ITC 8.686
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COLGATE&PALMOLIVE 27.74
BAJAJ 48.175
M&M 71.758
HDFC 54.24
ICICI 58.652RANBAXY 10.18
WIPRO -12.93
CIPLA -7.744
-20
-10
0
10
20
30
40
50
60
70
80
1
ITC
COLGATE&PALM
OLIVE
BAJAJ
M&M
HDFC
ICICI
RANBAXY
WIPRO
CORRELATION COEFFICIENT
COMPANY R
HDFC&ICICI 0.5206ITC&COLGATE 0.5008
BAJAJAUTO&MAHINDRA 0.605
CIPLA&RANBAXY 0.0295HDFC&WIPRO 0.0273
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COLGATE&SATYAM 0.30
BAJAJ&ITC -0.09
CIPLA&HDFC 0.668
RANBAXY&WIPRO 0.354
CIPLA&BAJAJ 0.690
0.5206
0.5008
0.605
0.0295
0.0273
0.3
0.09 -
0.354
0.69
0.668
1
CIPLA&BAJA
J
RANBAXY&WI
PRO
CIPLA&HDFC
BAJAJ&ITC
COLGATE&S
ATYAM
HDFC&WIPR
O
CIPLA&RANB
PORTFOLIO WEIGHTS
HDFC&ICICI
Formula:
X a = (Std.b) 2 p ab (std.a )(std.b)(std.a) 2 + (std.b) 2 -2 pab (std.a) (std.b)
X b = 1 X a
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Where X a = HDFC
X b = ICICI
Std.a = 24.88
Std.b = 34.85
p ab = 0.5206
X a = (34.85) 2 (0.5206) (24.88 )(34.85)(24.88) 2 + (34.85) 2 - 2 (0.5206) (24.88) (34.85)
X b = 1 X a
X a = 0.8199
X b = 0.1801
PORTFOLIO WEIGHTS
ITC&COLGATE:
Formula:
X a = (Std.b) 2 p ab (std.a )(std.b)(std.a) 2 + (std.b) 2 -2 pab (std.a) (std.b)
X b = 1 X a
Where X a = ITC
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X b = COLGATE
Std.a = 54.55
Std.b = 22.21
p ab = 0.5008
X a = (22.21) 2 (0.5008) (54.55 )(22.21)(54.55) 2 + (22.21) 2 - 2 (0.5008) (54.55) (22.21)
X b = 1 X a
X a = 0.0503
X b = 0.9497
PORTFOLIO WEIGHTS
CIPLA&RANBAXY:
Formula:
X a = (Std.b) 2 p ab (std.a )(std.b)(std.a) 2 + (std.b) 2 -2 pab (std.a) (std.b)
X b = 1 X a
Where X a = CIPLA
X b = RANBAXY
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Std.a = 55.22
Std.b = 55.13
p ab = 0.0295
X a = (55.13) 2 0.0295 (55.22) (55.13)(55.22) 2 + (55.13) 2 - 2 (0.0295) (55.22) (55.13)
X b = 1 X a
X a = 0.49916
X b = 0.50084