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    PrefaceMost of financial derivatives trading activities began extensively during

    seventies as recently as 1973 with the introduction of futures trading in foreignexchange which was followed by the interest rate futures in 1975, stock index

    futures in 1982 and so on.

    Due to globalization and liberalization process initiated by the states all over

    the world, the international trade and financial activities have grown in multifold

    resulting into rising level of all types of risks for market participants such as

    market risk, interest rate risk, foreign exchange risk, inflation risk and price risk.

    Financial derivatives like options, futures, forwards and swaps have emerged in the

    financial markets to handle and emerged in the financial markets to handle and

    manage such risks.

    Options and futures trading in India commenced from June, 2000 on

    National Stock Exchange and Bombay Stock Exchange in stock index futures,

    stock futures, stock index option and stock option. It was a welcome step on the

    part of the government since it was important in the present environment. This was

    significant development in the history of Indian stock markets. A lot of trading in

    futures and options segment in India stock market was seen and the number of

    market participants increased phenomenal in a short period. As a result, awareness

    about the financial derivatives instruments and their application has increased

    among the investing people at large. On the other side of this development was

    that element of risk and volatility in the stock market has risen.

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    Key FeaturesThis project is written with the objective that investor may get clear and

    logical way that why they should invest in selected stocks for option trading. This

    project gives investors knowledge about highly volatile stocks. Investors gainprofit at lesser risk by investing in this stocks. It determines the strategy that will

    hedge the funds of investors in buying options.

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    OBJECTIVE OF RESEARCH

    1.SEARCH FOR BEST COMPANIES FOR INVESTMENT IN BUYING OF

    OPTIONS IN INDIAN DERIVATIVE MARKET.

    2. DETERMINING STRETEGY THAT WILL HEDGE THE FUNDS OF

    INVESTORS IN BUYING OPTIONS.

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    HistoryIn the 1988s the process of liberalization and deregulation of the financial markets

    gain momentum when British & American leadership led, what could perhaps be

    considered as the world wide deregulatory movement.

    With the integration of the financial markets and free mobility of capital, risks also

    multiplied and risk diversification came to occupy the center stage. This logically

    led to the risk hedging mechanisms, first in the forex market, later in the other

    segments of financial service industry and these have come to be known generally

    as Derivatives.

    After emerging in USA, the derivatives business expanded rapidly and flourished

    in the European markets.

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    IntroductionFinancial derivative is a financial instrument whose payoff is based on the

    price of an underlying asset, reference rate, or an index. The term derivatives is

    hardly thirty years old in the academic discipline of finance, though it does notnecessarily mean that they are a modern invention. Since derivatives market have

    been in existence for as long, and by many accounts even longer than that for

    securities, it has been their growth in the past 30 years that has made them a

    significant segment of the financial markets.

    Today, the financial derivatives have become increasingly popular and most

    commonly used in the world of finance. This has grown with so phenomenal speed

    all over the world that now it is called as the derivatives revolution. In an estimate,

    the present annual trading volume of derivative markets has crossed US $ 30,000 billion, representing more than 100 times gross domestic product of India.

    DefinitionThe Securities Contracts (Regulation) Act 1956 defines

    derivativesas under:

    Derivatives includes

    1. Security derived from a debt instrument, share, loan whether secured or

    unsecured, risk instrument or contract for differences or any other form of

    security.

    2. A contract which derives its value from the prices, or index of prices of

    underlying securities.

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    Types of derivatives;

    Derivatives

    Financials Commodities

    Basic Complex

    Forwards Futures Options Warrants Swaps Exotics

    & (Non-standard), Convertibles

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    Types as per availability

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    Commodity derivativesThe underlying instrument is a commodity which may be

    wheat, cotton, pepper, sugar, jute, turmeric, corn, crude oil, natural gas, gold,

    silver, copper and so on.

    Financial derivativesThe underlying instrument may be treasury bills, stocks,

    bonds, foreign exchange, stock index, cost of living index, etc.

    Financial derivative is fairly standard and there are no quality

    issues whereas in commodity derivative, the quality may be the

    underlying matters.

    Basic financial derivativesA forward contract is a simple customized contract between two parties to

    buy or sell an asset at a certain time in the future for a certain price. Unlike future

    contracts, they are not traded on an exchange, rather traded in the over-the-counter

    market, usually between two financial institutions or between a financial institution

    and one of its clients.

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    Derivative contracts have several variations. Themost common variants are following:

    FORWARD:A forward contract is a customized contract between two entities,where the settlement takes place on a specific date in the future at todays pre-

    agreed price.

    FUTURES: A future contact is an agreement between two parties to buy or sellan asset at a certain time in the future at a certain price. Futures contracts are

    special types of forward contracts in the sense that the former are standardizedexchange-traded contracts.

    OPTIONS: Options are of two types

    CALL: calls give the buyer the right but not the obligation to buy a givenquantity of the underlying assets, at a given future date.

    PUT: Puts give the buyer right, but not the obligation to sell a given quantity ofassets at a given price on or before a g given date.

    SWAPS: swaps are private agreements between two parties to exchange flows inthe future according to a prearranged formula. They can be regarded as portfolios

    of forward contracts.

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    HEDGING:For limiting financial risk Hedging take two positions that will offset each other if

    prices change.

    In regards to financial market hedging is done by investing funds in more than

    financial product in such a way that losses that may occur due to one investment

    will be covered by other.

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    (b) The Sample

    The research requires comparison of fluctuation in share prices of all thecompanies in which derivative trading is allowed. Therefore data of all the

    companies are collected. Since few companies are recently listed with Stock

    exchange board of India, data of those companies are not available for whole year

    therefore they are excluded from the study.

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    (c)TOOLS

    FOR DATA COLLECTION:

    The data require for the project are shareprices of last 52 weeks. Internet is used for the collection of data. Web site of

    national stock exchange keep record of share prices of all companies listed to

    Stock exchange Board of India. The data is collected from the web site of national

    stock exchange.

    FOR DATA ANALYSIS: Standard deviation and coefficient of variation are

    statistical tools used for the analysis of data.

    Dispersion is the measure of the variation of the item

    A.L bowley:Dispersion is the degree of the scatter or variation of the variable about a central

    value.

    Brooks and Dick:Standard deviation is a statistical tool to measure dispersion in a series.

    Definition: Standard deviation is a square root of arithmetic average of thesquare of derivative measured from mean.

    Standard deviation = [((x*X)-(X*X)/N]/N

    Where,

    X= value of the item.

    N= Number of items.

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    Coefficient of variation:For purpose of relative measure of dispersion. Wecalculate coefficient of variation.

    Coefficient .of variation= standard deviation /X*

    Where,

    X* =mean value of all items in a given series

    BETA: The most important source of risk is the market risk because it cannot beeliminated through diversification. The Modern Portfolio Theory, therefore, argues

    that the riskiness of a security should be measured by its vulnerability to market

    risk. If the market were to go down by 1%, would the security go down by 0.5%,

    by 1% or by 2%? This sensitivity of the security to the movement of the market is

    known as the beta coefficient of the security.

    BETA= (nxy-x*y)/ (nx2-(x2))Where,

    X= % change in Nifty

    Y=% change in particular stock

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    Steps in calculating standard deviation

    1. Find the square of the values of various variables and total them.

    2. Find square of total of all the values. Divide it by the number of items.

    3. Subtract the above values from sum of square of variables and divide it bynumber of items.

    4. Find square root of above calculation.

    RESULTS

    NAME OF THE COMPANY BETASTANDARDDEVIATION

    COEFFICIENT OFVARIATION

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    AXIS BANK 1.69 57.006 8.34

    BHEL 1.17 103.67 6.917

    CAIRN0.2190

    8 24.456 9.574

    CHAMBAL FERTILISERS 1.693 9.7633 13.387

    DLF 0.175 46.16 9.85GMR 1.416 13.566 14

    HDIL 0.86 87.542 17.77

    ICICI BANK 1.699 78.681 11.639

    IDBI 1.093 6.369 8.755

    IDEA 0.44 10.073 10.65

    IDFC 1.696 15.342 13.585

    IFCI 1.81 9.103 19.489

    INFOSYS 0.7006 141.955 8.125

    ISPAT 1.407 3.149 12.585

    JP ASSOCIATES 1.716 19.246 11.55MTNL 0.47 4.637 4.919

    NTPC 0.639 9.925 5.99

    ONGC 0.815 59.023 6.622

    POWER GRID 1.161 7.1909 8.308

    RELIANCE CAPITAL 1.861 122.35 11.19

    RELIANCE COMMUNICATION 1.413 51.536 10.64

    RELIANCE INDUSTRIES 1.0369 112.699 5.22

    RELIANCE INFRASTRUCTURE 2.091 123.994 13.3

    RELIANCE PETROLEUM 0.8271 7.627 4.53

    RELIANCE POWER 1.594 26.1 16.108

    RANBAXY 0.4678 39.305 7.637

    RENUKA 1.197 9.379 8.641

    RNRL 2.0274 12.75 15.725

    SAIL 1.0728 12.622 8.761

    SATYAM 0.6713 46.056 10.377

    SBI 1.3103 112.282 8.767

    STER 0.7093 91.445 12.902

    TATA MOTORS 0.9843 55.443 12.151

    TATA TELESERVICES 0.994 2.497 9.55

    UNITECH 1.6063 19.433 11.05

    INTERPRETATIONThe profit by investing in purchasing of options in derivative market of a particular

    company is directly proportional to the fluctuation in price of share of that

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    company in the cash market. In the research the nature of share price of all the

    companies are made by studying the share prices of companies in last 2 months

    .By applying statistical tools, the estimation of fluctuation in prices of shares in

    future is done. The companies which were highly fluctuating last year are

    suggested for investment

    Mathematical expression:

    P F

    Where

    P=profit.

    F=fluctuation in share price

    SUGGESTIONS

    On the basis of the above research study following companies are suggested for

    purchasing of options in derivative market since the fluctuation in these companies

    are higher as compare to other companies.

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    1.

    2.

    3.

    4.

    5.

    6.

    7.

    STRATEGIES TO HEDGE THE FUND

    While investing in buying the options in derivative market the investors should

    apply strategy that will give return at comparatively low risk.

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    1. Investors may buy call and put options of particular company in samequantity.

    2. If investor has bought future option, a put option may be purchased in orderto hedge the fund.

    3. If investor has sold future option, a call option may be purchased in order tohedge the fund.

    4. If investor has invested in the shares of a particular company for long term.The fund can be hedged by purchasing put option to safeguard against shortterm volatility.

    IMPLICATIONThe above research study estimates the nature of share prices of companies

    regarding fluctuation. Thus it guides the investors about in which companies they

    should invest in. Apart from investment derivative has also been used as an

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    instrument to hedge other investment. The study also gives the information of the

    companies in which it will beneficial to hedge the funds.

    By applying investment strategy investors can safeguard themselves from losses.One investment may cover the losses that may occur due to the other investment.

    In this way funds can be invested in a way that ensures higher return to investors at

    comparatively lower risk.

    EXAMPLE:

    Suppose an investor purchase call and put option of suggested companies. As per

    our estimation in the study the prices of shares will increase/decrease to a high

    extent, since the nature of share of these companies are highly volatile. Let us

    consider various possibilities.

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    CASE I. Price of share increases in the cash market.

    There will be loss on purchasing of put option.

    Loss = price of put option at the time of purchasing.

    There will be profit on purchasing of call option.

    Profit = Increase in prices of shares.

    CASEII: Price of share decreases in the cash market.

    There will be loss on purchasing of call option.

    Loss = price of call option at the time of purchasing.

    There will be profit on purchasing of put option.

    Profit = Increase in prices of shares.

    LIMITATIONSShare prices of companies are influenced by many factors like performance of

    company, government policies, international market, interest rates, inflation,

    investment of foreign investors, and overall performance of sensex etc. Thus the

    nature of the companies may not be exactly as expected in the research study.

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    The above research is for short term only as data keeps on changing with

    market conditions and investor has to react accordingly.

    REFERENCES

    BOOKS:

    Elhance D.N, Elhance veena, Fundamental of Statistics.1. NCFM book,Derivative Market (dealer) module.2. Kothari C.R.,Research Methodology methods and techniques.

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    WEB SITES:

    1. www.nseindia.com.2. www.myiris.com.3. www.google.co.in.

    Appendices

    1. Last Thursday of every month is expiry day of option. Therefore closingprice of last Thursday was taken for the study.

    2. Brokerage has to be given for trading in derivative market.

    3. Other formula may also be applied for calculating standard deviation.

    http://www.nseindia.com/http://www.myiris.com/http://www.google.co.in/http://www.nseindia.com/http://www.myiris.com/http://www.google.co.in/
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    4. Example of calculation of standard deviation, beta and coefficient of

    variation is shown below:

    SymbolSeries Date

    ClosePrice(Y) clo*clo

    %CHANGE(Y) Close

    %CHANGE(X) X*X X

    RPOWER EQ 2-Jun-08 228.6 52257.96 4739.6RPOWER EQ 3-Jun-08 218.75 47851.5625 -4.3088364 4715.9 -0.50004

    0.250042

    RPOWER EQ 4-Jun-08 202.6 41046.76

    -7.3828571

    4 4585.6 -2.762997.63413

    22

    RPOWER EQ 5-Jun-08 198.6 39441.96

    -1.97433366

    4676.95 1.992106

    3.968485 3

    RPOWER EQ 6-Jun-08 193.6 37480.96

    -2.5176233

    6 4627.8 -1.05091.10438

    82

    RPOWER EQ 9-Jun-08 185.15 34280.5225

    -4.3646694

    24500.9

    5 -2.741047.51331

    81

    RPOWER EQ

    10-Jun-08 182.25 33215.0625 -1.5662976 4449.8 -1.13643

    1.291466

    1

    RPOWE

    R EQ

    11-Jun-

    08 182.3 33233.29

    0.0274348

    42 4523.6 1.658502

    2.75062

    7

    0

    RPOWER EQ

    12-Jun-08 186.15 34651.8225

    2.111903456

    4539.35 0.348174

    0.121225 0

    RPOWER EQ

    13-Jun-08 187.65 35212.5225

    0.805801773 4517.1 -0.49016

    0.240255 0

    RPOWER EQ

    16-Jun-08 184.7 34114.09

    -1.5720756

    7 4572.5 1.2264511.50418

    1 1RPOWER EQ

    17-Jun-08 190.95 36461.9025

    3.383865728 4653 1.760525

    3.099448 5

    RPOWE

    R EQ

    18-Jun-

    08 186.35 34726.3225

    -2.4090075

    9 4582.4 -1.5173

    2.30220

    1

    3

    RPOWER EQ

    19-Jun-08 180.9 32724.81

    -2.9246042

    44504.2

    5 -1.705442.90851

    94

    RPOWER EQ

    20-Jun-08 174.95 30607.5025

    -3.2891100

    14347.5

    5 -3.47894 12.1031

    RPOWER

    EQ 23-Jun-08

    162.6 26438.76 -7.0591597

    4266.4 -1.86657 3.484078

    1

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    6

    RPOWER EQ

    24-Jun-08 152.7 23317.29

    -6.0885608

    9 4191.1 -1.764953.11506

    31

    RPOWER EQ

    25-Jun-08 155.6 24211.36

    1.899148657

    4252.65 1.468588

    2.156751

    2

    RPOWER EQ

    26-Jun-08 154.05 23731.4025

    -0.9961439

    64315.8

    5 1.4861322.20858

    9 RPOWER EQ

    27-Jun-08 145 21025 -5.874716

    4136.65 -4.15214

    17.24024

    2

    RPOWER EQ

    30-Jun-08 136.65 18673.2225

    -5.7586206

    94040.5

    5 -2.32314 5.396961

    RPOWER EQ 1-Jul-08 127.55 16269.0025 -6.6593487

    3896.75 -3.55892

    12.66592 2

    RPOWER EQ 2-Jul-08 132.35 17516.5225

    3.763230106

    4093.35 5.04523

    25.45435

    1

    RPOWER EQ 3-Jul-08 130.35 16991.1225

    -1.5111446

    93925.7

    5 -4.0944516.7644

    9 RPOWER EQ 4-Jul-08 135.95 18482.4025

    4.296125815 4016 2.298924

    5.285051

    9

    RPOWER EQ 7-Jul-08 135.6 18387.36

    -0.2574475

    9 4030 0.3486060.12152

    6 0RPOWER EQ 8-Jul-08 136.9 18741.61

    0.958702065

    3988.55 -1.02854

    1.057886 0

    RPOWER EQ 9-Jul-08 148.65 22096.8225

    8.582907232 4157.1 4.225846

    17.85778

    3

    RPOWER EQ

    10-Jul-08 147.75 21830.0625

    -0.6054490

    4 4162.2 0.1226820.01505

    1 0RPOWER EQ

    11-Jul-08 140.6 19768.36 -4.8392555 4049 -2.71972

    7.396853 1

    RPOWER EQ

    14-Jul-08 137.6 18933.76

    -2.1337126

    6 4039.7 -0.229690.05275

    60

    RPOWER EQ

    15-Jul-08 131.05 17174.1025

    -4.7601744

    2 3861.1 -4.4211219.5463

    1 2

    RPOWER EQ 16-Jul-08 127.85 16345.6225 -2.4418161 3816.7 -1.14993 1.322342 2

    RPOWER EQ

    17-Jul-08 131.8 17371.24

    3.089558076 3947.2 3.419184

    11.69082

    1

    RPOWER EQ

    18-Jul-08 132.3 17503.29

    0.379362671

    4092.25 3.674757

    13.50384

    1

    RPOWER EQ

    21-Jul-08 132.2 17476.84

    -0.0755857

    9 4159.5 1.64335 2.7006 0

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    RPOWER EQ

    22-Jul-08 142.75 20377.5625

    7.980332829 4240.1 1.937733

    3.754809

    1

    RPOWER EQ

    23-Jul-08 171.1 29275.21

    19.85989492 4476.8 5.582416

    31.16336

    1

    RPOWER EQ

    24-Jul-08 176 30976

    2.863822326

    4433.55 -0.96609

    0.933333 2

    RPOWER EQ

    25-Jul-08 168.85 28510.3225 -4.0625

    4311.85 -2.74498

    7.534908

    1

    RPOWER EQ

    28-Jul-08 169.2 28628.64

    0.207284572 4332.1 0.469636

    0.220558

    0

    RPOWER EQ

    29-Jul-08 154.15 23762.2225

    -8.8947990

    54189.8

    5 -3.2836310.7822

    1 2RPOWER EQ

    30-Jul-08 163.15 26617.9225

    5.838469024

    4313.55 2.952373

    8.716506

    1

    RPOWER EQ

    31-Jul-08 165.6 27423.36

    1.501685565

    4332.95 0.449746

    0.202271

    0

    7129.4 1185163.45

    -

    26.7783203 -7.57613

    279.1365

    4

    BETA=1.594

    S.D.=26.100C.V.=16.108

    BETA = (nxy-x*y)/ (nx2-(x2))

    Standard deviation = [((X*X)-(X*X)/N]/N

    Coefficient .of variation= (standard deviation /X*)*100

    BETA= (44* 447.6527- (-7.57613* -26.7783203))/ (44*279.1365-(-7.57613))

    =1.594

    STANDARD DEVIATION= ((1185163.45*1185163.45)-(7129.4*7129.4)/44)44

    =26.100

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    COEFFECIENT OF VARIATION= (26.100/162.031)*100

    =16.108

    MEAN=7129.4/44

    =162.031

    5. The price of call and put are very less as compare to price of share in cash

    market.