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    1. Industry Overview

    The Indian equity market has widely been regarded as the best performing

    amongst the emerging markets of the world. This has also been proved beyond

    doubt across the financial world that the regulatory norms in place governing

    the Indian Capital Market are one of the best in the world. Recently NSE has

    been awarded Derivative Exchange of the year by Asia Risk Magazine.

    Morgan Stanley research has estimated that trading volumes in the Indian

    Markets isexpected to double to $ 3.2 trillion in 2010 from about $1.6 trillion currently

    translating into 2530 percent annual growth. Morgan Stanley has also projects

    the Indian brokerage business to grow to $3.9 billion by 2015. Hence lots of

    international financial services major like Citigroup,Standard Chartered,

    Frances Societe Generale, Kuwait based Global investment house,Duetche

    Bank, ABN Amro, UBS, Fortis (European banking and insurance major), BNP

    Paridas, E*Trade (Fourth largest online broking firm in US) have announced

    their foray in the securities and wealth management business in India either

    through joint ventured with leading Indian broking houses or plans to venture

    in at their own in a big way.

    The government of Indias increasing thrust too on use of derivatives for risk

    management in the area of Commodity Prices, Foreign Currency and Interest

    Rates also call for investigating the risk-return dynamics of investing/trading

    with derivatives.

    The growth of these markets has led to increasing involvement by institutions,

    private equity, and international employees pension/insurance/provident funds

    like CalPERS and individuals for investment purposes. As a result, there is

    demand for academic research considering advantages and disadvantages of

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    including managed derivatives in investors' portfolios. The proposed study

    imbibes to enrich the body of knowledge in the field of managed stock futures

    that will have far-reaching application.

    Traded Value in Derivative Segment

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    Records achieved in F&O Segment

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    2. Company Overview

    2.1 Holding Company

    The Bangalore Stock Exchange Limited (BgSE) is a self regulatory

    organisation located in the garden city of India. The Exchange is managed by

    the Governing Board consisting of members nominated by Securities Exchange

    Board of India (SEBI), Public Representatives, Elected members and an

    Executive Director. The Exchange has been serving the investor community

    continuously since its inception in the year 1963.

    Over the decades, it has been a journey of progress to the Exchange from the

    pith to the pinnacle, from the alcove to the acme and, has emerged as a premier

    Exchange in India. The continuous change alone is the changeless law.

    As the saying goes, to keep pace with the fast changing technology and

    financial system, the Exchange went On-line in 1996. The Exchange has come

    a long way since the launch of BEST (Bangalore Electronic Securities

    Trading), its On-line trading system on 29th July 1996.

    Empowerment of the investors in the market has been the focus of the

    Exchange. Information needs of market participants are met through the

    Service Centres established by the Exchange at various places in Karnataka. In

    addition to this, Investment Education Centre at Bangalore plays a vital role in

    enhancing the knowledge base of the participants through several short and

    long duration programmes.

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    2.1.1 Members

    The Exchange has 241 members serving the diverse needs of investors. The

    corporate members constitute more than 25% of the total membership of the

    Exchange. Members operate within the overall framework of policies and

    practices developed over a period of time by the Exchange.

    2.1.2 ListingThe securities listed at the Exchange includes a number of innovative and

    seasoned corporates from different sectors of industry. As on 31st March 2006,

    the number of companies listed on the Exchange are 384 consisting of 186

    regional and 198 non regional companies.

    2.1.3 Investor Services Centre

    With a view to support the investors to resolve their grievances expeditiously,

    Exchange has established a Investor Services Committee comprising of Public

    Representatives, members and Executive Director, who oversee the functioning

    of the Cell and they take appropriate steps for amicable settlement.

    To enable the investors at other places to have access to various services,

    Centres have been set up at Davangere, Hassan, Hubli, Mysore, Madkeri,

    Mangalore Shimoga and Tumkur.

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    2.1.4 Investor Information Centre

    The Exchange has established a well equipped Library and Investor

    Information Centre to cater to varied information needs of investors, corporates

    members and others. The Centre has a collection of wide range of books,

    periodicals, journals, annual reports, prospectus and research publications

    relating to Capital markets. Circulars, notifications issued by authorities are

    available. Draft prospectus, offer documents and other related information are

    displayed regularly.

    In addition, information on over 4000 companies is available in the Corporate

    data-bank for investors, corporates and members to help them in investment

    decision making process. This data bank consists of details of promoters,

    previous public issues, track record, digital form annual reports, financial

    performance of companies. Fundamental analysis and Technical analysis, other

    general information on industry, sector and economic scenario etc., are

    available.

    2.1.5 Investment Education Centre

    Empowerment of investors through education is the focus of the Exchange. The

    Exchange has established an exclusive investment education centre to cater to

    the needs of the market participants. This Centre conducts regular and intensive

    training sessions, seminars and workshops. In addition to this, the Exchange

    continuously holds monthly Investors Meet at Bangalore on last sunday of

    every month on various current topics and issues

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    2.2 BgSE Financials Limited, a company jointly promoted by Bangalore

    Stock Exchange Limited and its members was incorporated in the year 1999.

    The tech savy company inherits from its parent, Bangalore Stock Exchange, a

    strong legacy of nearly four decades of uninterrupted & unmatched expertise

    and trust with the investing public in the Capital Market.

    The Company has a vision of being one of the leading financial super markets

    in India covering a wide array of products & services supported by a large

    network of delivery channels spread across the Country as well as being thetrusted name amongst the broking fraternity in the Country through

    strategic alliances both at national and international levels.

    BgSE Financials Limited has corporate membership with both National Stock

    Exchange of India Ltd. (NSE) and Bombay Stock Exchange Ltd. (BSE). The

    Company facilitates trading on these premier exchanges through a strong

    network of registered traders. The unique feature of BgSE Financials Limited is

    that it does not trade on its own account instead provides facilities to its Sub-

    brokers to offer quality services to investing public. BgSE Financials Limited

    has more than 150 registered Sub-brokers with presence in the state of

    Karnataka, Chennai, Delhi, Kolkatta and Mumbai.

    The Companys unique trading system allows the Trader to access multiple

    markets viz.NSE (Cash and F&O Segments) and BSE (Cash Segment) through

    a single window, thus giving the advantage of instant choice of the Exchange

    where he/she would like his/her order to be executed. Using state-of-the-art

    technology, trading on these exchanges is made possible even from remote

    locations through VSAT and leased lines. The company offers Trading Floor

    facilities at its Corporate Office at Bangalore as also at key centres in the State

    of Karnataka at Davangere, Hubli, Hassan, Madikeri, Mysore, Mangalore,

    Shimoga and Tumkur.

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    2.2.1 SERVICES OFFERED BY THE COMPANY :

    DP Services

    Real Time Trading at NSE/BSE

    Online/Internet Trading at NSE/BSE & F&O

    Trading in F&O

    Distribution of Mutual Funds

    GOI Relief Bonds/Capital Gain Bonds/Tax Saving Bond

    Retail Debt Market segment of NSE

    IPO

    Registrar & Share Transfer Agent

    2.2.2 Depository Participant (DP) Services

    The Company is a registered Depository Participant(DP) of National Securities

    Depository Limited(NSDL). The Company offers DP services to varied clients

    spread across the Country viz., clearing members, traders and

    investors. Currently, the client base is around 75000 and the same is increasing

    day-by-day.

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    2.2.3Salient Features of the DP Services are:

    Low transaction charges: Charges levied by BgSE Financials Limited are

    perhaps the lowest in the industry.

    Quicker Settlement: Having trading arrangements with the broking

    intermediary which is also a Depository Participant gives an edge in terms of

    savings in time and cost.

    Greater Convenience: Multiple services all under one roof thereby avoiding

    the hassle of dealing with multiple agencies for different services.

    Network: An ever increasing network of service points brings BgSE Financial

    Limited to close proximity with its clients and investing public.

    Technology: State-of-art-technology has been implemented to provide better

    and faster service.

    Registrar & Share Transfer Agent

    The Securities and Exchange Board of India has recently granted the

    Certificate of Registration to the Company to take up activities as \" Category I

    - Registrar to an Issue and Share Transfer Agent\" . The company is

    commencing the above operations very shortly.

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    2.3 Board of Directors

    Chairman Justice R Jayasimha Babu

    Independent Director Mr. N. Nityananda

    Independent Director Major General. T.M.John

    Independent Director Mr. M.R. Mayya

    Director Mr. M.K. Ananda KumarChief Executive Officer Mr.K.N.Ramanatha

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    3. Some of the competitors for Sharavu Securities Pvt Ltd are as follows-:

    3.1 Indiabulls

    Indiabulls is Indias leading Financial Services and Real Estate company

    having over 640 branches all over India. Indiabulls serves the financial needs

    of more than 4,50,000 customers with its wide range of financial services and

    products from securities, derivatives trading, depositary services, research &

    advisory services, consumer secured & unsecured credit, loan against shares

    and mortgage & housing finance. With around 4000 Relationship Managers,

    Indiabulls helps its clients to satisfy their customized financial goals. Indiabulls

    through its group companies has entered Indian Real Estate business in 2005. It

    is currently evaluating several large-scale projects worth several hundred

    million dollars.

    3.1.1 Indiabulls Financial Services Ltd is listed on the National Stock

    Exchange, Bombay Stock Exchange and Luxembourg Stock Exchange. The

    market capitalization of Indiabulls is around USD 2500 million (29th

    December 2006). Consolidated net worth of the group is around USD 700

    million. Indiabulls and its group companies have attracted USD 500 million of

    equity capital in Foreign Direct Investment (FDI) since March 2000. Some of

    the large shareholders of Indiabulls are the largest financial institutions of the

    world such as Fidelity Funds, Goldman Sachs, Merrill Lynch, Morgan Stanley

    and Farallon Capital.

    3.2 Way 2 Wealth

    Way2Wealth is a premier Investment Consultancy Firm that has been launched

    with the aim of making investing simpler, more understandable and profitable

    for the investors. Way2Wealth brings a wide range of product offerings from

    Fixed Income Securities, Life Insurance and Mutual Funds to Equity and

    Derivatives (on the National Stock Exchange) for the convenience and benefit

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    of it customers. Way2Wealth has over 40 easily accessible Investment Outlets

    spread across 20 major towns and cities in the country.

    Mission

    Way2Wealth is a premier Investment Consultancy Firm, launched with

    the mission to be the pre-eminent destination for personalized financial

    solutions helping individuals create wealth.

    Philosophy

    We believe that our knowledge combined with our investors trust and

    involvement will lead to the growth of wealth and make it an exciting

    experience.

    Sivan Securities started in 1984, has a long and illustrious track record of being

    amongst the premier Financial Intermediaries in the country as well as being anincubator for IT start-up firms.

    The Venture Capital division came to be known as Global Technology

    Ventures (GTV has provided venture capital to companies such as Kshema

    Technologies, MindTree, Ivega etc.) and the Financial Intermediary Division

    was spun off as Way2Wealth in the year 2000. Way2Wealth is promoted by

    Sivan Securities and Global Technology Ventures Ltd.

    3.3 ASIT C MEHTA

    Mission:

    To build reputation synonymous with quality, competitiveness, reliability,

    fairness and transparency in business dealings and be a responsible corporate

    citizen.

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    Capital and Currency Market Intermediation:

    Asit C. Mehta investment Intermediates Ltd. currently provides most of the services

    as follows:

    Equity Market Trade Execution Service:-Membership of the National

    Stock Exchange (NSE),The Stock Exchange, Mumbai (BSE) Trade

    Execution is done through Private Network which is approved by theExchanges and efficiency is offered in trading by display of rates of both

    the exchanges simultaneously.

    Derivatives Trading:-Membership of Futures and Options segment of

    National Stock Exchange and derivatives segment of The Stock

    Exchange Mumbai.

    On Line Trading Facility:-Approval granted by NSE and BSE as per

    norms laid down by SEBI for providing such facility,

    www.investmentz.com is the website that provides on line trading

    facility.

    Depository Services: -A depository participant of Central Depository

    Services of India (CDSL).

    IPO Services: -Using the technology backbone the company provides

    an online services to bid for various IPOs . It is also possible to actively

    participate in IPO market even from centers, which do not have

    collection bank facilities.

    Mutual Fund distribution: -The company is an approved distributor of

    various Mutual funds. The company has developed the necessary

    software to aid the investor in deciding the mutual fund scheme that is

    best suited to his investment objectives.

    Portfolio Management Service: -The group company, Nucleus Netsoftand GIS (India) Ltd. holds a license for providing Portfolio Management

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    Services. The company is in the process of finalizing various schemes

    for investing through PMS service.

    3.4 Motilal Oswal

    Motilal Oswal Financial Services is a well-diversified financial services group

    having businesses in securities, commodities, investment banking and venture

    capital.

    With 1160 Business locations and more than 2,00,000 investors in over 360

    cities, Motilal Oswal is well suited to handle all your wealth creation and

    wealth management needs.

    The company has in the last year placed 9.48% with two leading private equity

    investors - New Vernon Private Equity Limited and Bessemer Venture Partners

    at post money company valuation of Rs. 1345 crore. (Rs. 13.45 billion).

    Motilal Oswal Financial Services Ltd., consists of four companies.

    Motilal Oswal Investment Advisors Pvt. Ltd. is our Investment Banking arm

    with collective experience of over 100 years in investment banking/corporate

    banking and advisory services

    Motilal Oswal Commodities Broker (P) Ltd. has been providing commodity

    trading facilities and related products and services since 2004.

    Motilal Oswal Venture Capital Advisors Private Limited has launched the

    India Business Excellence Fund (IBEF), a US$100 mn India focused Private

    EquityFund..

    3.4.1 Motilal Oswal Securities Ltd. (MOSt) is a leading research and

    advisory based stock broking house of India, with a dominant position in both

    institutional equities and retail wealth management. Our services include

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    equities, derivatives, e-broking, portfolio management, mutual funds,

    commodities, IPOs and depositary.

    Motilal Oswal Securities Ltd. was founded in 1987 as a small sub-broking unit,

    with just two people running the show. Focus on customer-first-attitude, ethical

    and transparent business practices, respect for professionalism, research-based

    value investing and implementation of cutting-edge technology have enabled

    us to blossom into an almost two thousand-member team.

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    BRANCHES OF BGSE FINANCIALS LIMITED

    ARSIKERE

    CHITRADURGA

    (DP Collection Centre)

    DAVANGERE

    HASSAN

    DHARWAD

    HUBLI

    MADIKER

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    4. Theoretical background of the project :

    Rational investors wish to maximize the returns on their funds for a given level

    of risk. All the investment decisions possess varying degree of risks. Returns

    come in the form of income such as interest or dividends or through growth in

    capital values (i.e. capital gains) short terms as well as long term.

    The Indian equity market has widely been regarded as the best performing

    amongst the emerging markets of the world. This has also been proved beyond

    doubt across the financial world that the regulatory norms in place governing

    the Indian Capital Market are one of the best in the world. Recently NSE has

    been awarded Derivative Exchange of the year by Asia Risk Magazine.In

    India, NSE has close to 95 percent market share in the total traded volume of

    business transacted in India and more than 99.5 percent market share in the

    total traded volume in the derivative segment. The derivative volumes has been

    more than 80 percent of the combined traded volumes (Equity & Derivative

    Segment) and are growing with an accelerated pace.

    Trading volumes in the equity segment have grown rapidly with average daily

    turnover increasing from Rs.17 crores during 1994-95 to Rs.6,253 crores

    during 2005-06., where as in the derivative segment it has grown to Rs. 19,220

    from merely Rs. 413 crores in the year 2001-02. As of now, for the month of

    March 2007 average daily turnover was Rs. 7998 crores for equity segment and

    Rs. 33,036 for derivative segment. The volumes in the derivatives have been

    progressively more escalating in the case of index

    based derivatives. In the month of December 2006, S&P CNX Nifty has 39

    percent and 83 percent share in the traded volumes of futures segment and

    options segment respectively (Derivatives Update, December 2006, NSE). The

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    aggregate share of Nifty in futures and options has been 58.27 percent for the

    month of March 2007.

    Morgan Stanley research has estimated that trading volumes in the Indian

    Markets is expected to double to $ 3.2 trillion in 2010 from about $1.6 trillion

    currently translating into 25- 30 percent annual growth. Morgan Stanley has

    also projects the Indian brokerage business to grow to $3.9 billion by 2015.

    Hence lots of international financial services major like Citigroup, StandardChartered, Frances Societe Generale, Kuwait based Global investment house,

    Duetche Bank, ABN Amro, UBS, Fortis (European banking and insurance

    major), BNP Paridas, E*Trade (Fourth largest online broking firm in US) have

    announced their foray in the securities and wealth management business in

    India either through joint ventured with leading Indian broking houses or plans

    to venture in at their own in a big way.

    The government of Indias increasing thrust too on use of derivatives for risk

    management in the area of Commodity Prices, Foreign Currency and Interest

    Rates also call for investigating the risk-return dynamics of investing/trading

    with derivatives. The growth of these markets has led to increasing

    involvement by institutions, private equity, and international employees

    pension/insurance/provident funds like CalPERS and individuals

    for investment purposes. As a result, there is demand for academic research

    considering advantages and disadvantages of including managed derivatives in

    investors' portfolios. The proposed study imbibes to enrich the body of

    knowledge in the field of managed stock futures that will have far-reaching

    application.

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    Hence, the researcher has realized that there is definite need to look into the

    derivative based investment strategies in general and the index based

    derivatives in particular.

    The proposed research would focus on the sources of economic efficiency

    gains from the use of derivatives. These sources are based on the premise that

    derivatives provide much needed liquidity in helping to complete capital

    markets, lowering transaction costs, and reducing agency costs. Now themillion dollar question lies in how the characteristics of derivatives may be

    capitalized by investors for their enhanced efficiency and utility relative to the

    assets that underlie them. The basic idea behind is to find if at all derivatives

    can be used as a good investment alternative to suit to the requirement of

    different class of investors with varying risk appetite.

    The proposed study would go a long way in assisting/helping the large number

    of market participants in designing and regulating the challenges and

    opportunities posed by the use of derivative products as an integral part of the

    investment strategy.

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    5. Rationale of the project

    Rational investors wish to maximize the returns on their funds for a given level

    of risk. All the investment decisions possess varying degree of risks. Returns

    come in the form of income such as interest or dividends or through growth in

    capital values (i.e. capital gains) short terms as well as long term.

    The Indian equity market has widely been regarded as the best performing

    amongst the emerging markets of the world. This has also been proved beyond

    doubt across the financial world that the regulatory norms in place governing

    the Indian Capital Market are one of the best in the world. Recently NSE has

    been awarded Derivative Exchange of the year by Asia Risk Magazine.

    Morgan Stanley research has estimated that trading volumes in the Indian

    Markets is

    expected to double to $ 3.2 trillion in 2010 from about $1.6 trillion currently

    translating into 2530 percent annual growth. Morgan Stanley has also projects

    the Indian brokerage business to grow to $3.9 billion by 2015. Hence lots of

    international financial services major like Citigroup,Standard Chartered,

    Frances Societe Generale, Kuwait based Global investment house,Duetche

    Bank, ABN Amro, UBS, Fortis (European banking and insurance major), BNP

    Paridas, E*Trade (Fourth largest online broking firm in US) have announced

    their foray in the securities and wealth management business in India either

    through joint ventured with leading Indian broking houses or plans to venture

    in at their own in a big way.

    The government of Indias increasing thrust too on use of derivatives for risk

    management in the area of Commodity Prices, Foreign Currency and Interest

    Rates also call for investigating the risk-return dynamics of investing/trading

    with derivatives.

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    The growth of these markets has led to increasing involvement by institutions,

    private equity, and international employees pension/insurance/provident funds

    like CalPERS and individuals for investment purposes. As a result, there is

    demand for academic research considering advantages and disadvantages of

    including managed derivatives in investors' portfolios. The proposed study

    imbibes to enrich the body of knowledge in the field of managed stock futures

    that will have far-reaching application.

    Hence, there is a need for the research to look into the derivative based

    investment strategies in general and the index based derivatives in particular &

    the company in which the project is undertaken has less volume of trading in

    derivatives as compared to equites because the investors think there is more

    risk involved entering in derivatives, so if the risk & returns are defined or

    valuated then investors can plan their strategies before investing, this in turn

    will benefit the company to increase the volume o derivative trading

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    6. Utility of the project

    As the number of traders in the derivative segment are very less as

    compared to equity segment i.e 20% in the company which is due to

    ineffective hedging and insufficient knowledge of rational trading, this

    data helps the traders to hedge their risk effectively.

    The turnover can be increased as the traders will increase their

    efficiency in hedging their risk in derivative segment.

    The data also helps to hedge the traders risk effectively when there are

    volatile sessions in the market.

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    7. Objectives of the study

    1. Examine the performance of selected companies through option greeks

    & suggest various derivative based investment strategies like Long

    Future (Naked), Covered call (Long future with short call), Protective

    put (Short future with long put), Straddle, Strangle.

    2. Examine the risk associated with each of the above investment

    strategies.

    3. Examine the extent to which the derivatives have been able to hedge the

    risk.

    4. Examine whether derivatives can be used as an alternative to delivery

    based investing.

    7.1 Methodology

    The daily data on futures and options for the period starting from 10th Dec

    2007 to 3rd April 2008 would be used to calculate option greeks.

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    8. An Introduction to Futures & Options

    8.1 HistoryIn the mid-1840s, Chicago began to emerge as the market center for farmers in

    neighboring states. At harvest time, farmers converged on the city to sell their

    grain. There was often so much grain that the farmers had to dump a lot of it

    into Lake Michigan because there were not enough buyers and no way to store

    it. This was unfortunate, because by the time spring rolled around, grain was in

    short supply. How did these extreme conditions of having too much grain and

    then not enough of it affect grain prices? Lets take a closer look at the forces

    of supply and demand to give us a clue.

    8.2 A Tomato Story

    As an example, take a look at what happens to the price of tomatoes in the

    summer. Farmers have so many tomatoes to sell that they must lower their

    prices to get people to buy all of them. (Who can resist a bargain?) When prices

    fall because of excess supply, buyers have the upper hand.But what happens in

    the winter? People want tomatoes then just as much as in the summer.But as

    you know, fewer tomatoes are available. Tomatoes cant be grown in the cold,

    so

    most are grown in greenhouses (or these days, shipped from warm places). You

    cant grow nearly as many tomatoes in a greenhouse as you can on a large

    farm, and shipping is more difficult than having a supply nearby, so fewertomatoes are brought to the market. People who want tomatoes for their salads

    and BLTs during the winter find that there is more demand for tomatoes than

    supply. When a lot of people want to buy something thats not readily

    available, they end up competing with one another to purchase what they want,

    and in this process prices go up.

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    People who still want tomatoes in the winter find that they must be willing to

    spend more money to buy them. Prices of tomatoes rise to a point where a lot

    of buyers drop out tomato prices have become too expensive for them. The

    tomatoes go to the people willing to pay that higher price, and get sold despite

    that higher price.

    8.3 CME (Chicago Mercantile Exchange)

    The success of the CBOT inspired others to create exchanges that would assist

    the process of buying and selling futures contracts on other farm products. In

    1874, merchants formed the Chicago Produce Exchange, later named the

    Chicago Butter and Egg Board, and then in 1919 the CME (Chicago Mercantile

    Exchange). The commodities traded at the exchange throughout these years

    were butter and eggs. Later, CME began offering trading in hides, onions andpotatoes.During the 1950s, CME also began trading contracts on turkeys and

    frozen eggs. And in

    1961 CME introduced a new contract that really put the exchange on the map

    frozen pork belly futures. Youve probably heard of pork bellies dozens of

    times, and youre more familiar with them than you realize. It is from pork

    bellies that we get bacon, a necessary part of those BLTs In 1972, CME

    introduced financial futures, with the launch of eight currency futures contracts.

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    With its reputation for innovation firmly established, CME went on to become

    a leading provider of options on futures and cash-settled futures contracts, and

    also developed an electronic trading platform to permit trading nearly twenty-

    four hours a day.

    Today, CME is the largest futures exchange in the U.S. and the second largest

    in the world, trading a record 1.05 billion contracts in 2005.

    8.4 Futures ContractsStandardized forward contracts evolved into todays futures contracts. For

    example, a JuneCME Live Cattle futures contract would require the seller to

    deliver 40,000 pounds of livecattle of a certain quality to the buyer upon

    expiration of the contract.A great advantage of standardized contracts was that

    they were easy to trade. As a result,the contracts usually changed hands many

    times before their specified delivery dates. Many people who never intended to

    make or take delivery of a commodity began to actively engage in buying and

    selling futures contracts. Why? They were speculating taking a chance

    that as market conditions changed they would be able to buy or sell the

    contracts at a profit. The ability to eliminate a position on a contract by

    buying or selling it before the delivery date called offsetting is a key

    feature of futures trading. Actually, only about 3% of all futures contracts

    currently result in physical delivery, because most people clear or eliminate

    their positions before the contract expires. Every futures contract has a last day

    of trading, and all open positions must be closed out by this Last Trading Day.

    For a physical delivery contract like CME Live Cattle, the open positions can

    be closed out by making an offsetting futures trade or by making/taking

    physical delivery of the cattle. For cash-settled futures contracts, positions can

    be closed out by making an offsetting futures trade or by leaving the position

    alone and having it closed out by one final mark to market settlementadjustment.

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    9. Some terminologies

    9.1 Bull Market

    A bull market is a market in which prices are rising. When someone is referred

    to as being bullish, that person has an optimistic outlook that prices will be

    rising.

    9.2 Bear Market

    A bear market is one in which prices are falling. Therefore, a bearish view is

    pessimistic, and that person would believe that prices are heading downward.

    9.3 Going Long

    If you were to buy a futures contract to initiate a position, you would be long.

    A person who has purchased 10 pork belly futures contracts is long 10 pork

    belly contracts.

    Someone who is long in the market expects prices to rise. They expect to make

    money by later selling the contracts at a higher price than they originally paid

    for them.

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    9.4 Going Short

    A more difficult concept involves the sale of futures contracts before buying

    them. Someone who sells a futures contract to initiate a position is said to be

    short for example, short 10 pork belly contracts would mean that a person

    initiated a position by selling those 10 contracts.A short seller has entered into

    an obligation to deliver a commodity at a future date, at a price agreed upon

    today, but with the ability to offset that obligation by buying back the futures

    contract.

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    9.5Contract Maturity

    Futures contracts have limited lives, known as contract maturities. Contract

    maturity is expressed in terms of months, such as December. The contract

    maturity designates the time at which deliveries are to be made or taken, unless

    the trader has offset the contract by an equal, opposite transaction prior to

    maturity.

    9.6 DeliveryOnly about 3% of all futures contracts actually result in physical delivery or

    cash settlement of the commodity. The other 97% are simply offset. That

    means that the majority of participants close out their positions prior to the

    contracts delivery date (sellers buy back the futures they sold, and buyers sell

    back the futures they bought).

    9.7 Hedge

    If you hedge, you buy or sell a futures contract as a temporary substitute for a

    cash market transaction to be made at a later date. Hedging usually involves

    holding opposite positions in the cash market and futures market at the same

    time. Hedging is a business management tool used to manage price risk.

    9.8 Long Hedge

    If you put on a long hedge you purchase a futures contract in anticipation of

    an actual cash market purchase. Processors or exporters typically use long

    hedges as protection against an increase in the cash price.

    9.9 Short Hedge

    To put on a short hedge you would sell a futures contract in anticipation of a

    later cash market sale. Traders use short hedges to eliminate or lessen the

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    possible decline in value of ownership of an approximately equal amount of a

    cash financial instrument or physical commodity.

    9.10 Speculator

    You would be considered a speculator if you bought and sold futures

    contracts for the sole purpose of making a profit. Speculators attempt to

    anticipate price changes. They do not use the futures markets in connection

    with the production, processing, marketing or handling of a product, and haveno interest in making or taking delivery.

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    9.11 Hedging Is Not Always Perfect

    Hedging works best when the hedger has carefully calculated the basis. The

    basis is the difference between the specific commodity the hedger buys or sells

    in the local cash market and the standardized specifications of the futures

    contract. For example, CME cattle futures contract quality specifications are

    based on corn-fed steers. But what if a rancher is hedging grass-fed steers and

    bulls a lower quality grade of cattle? The rancher needs to recognize that his

    local price for these animals will typically be lower than the cattle futuresmarket price.

    And unlike a feedlot operator raising corn-fed steers near a CME delivery city

    and who can choose to make delivery against his short position, this particular

    rancher cannot. The rancher must therefore always close out the futures

    position and sell the cattle at the local market.

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    10.An Introduction to option greeks

    10.1 What are greeks ?

    There are ways of estimating the risks associated with options, such as the risk

    of the stock price moving up or down, implied volatility moving up or down, or

    how much money is made or lost as time passes. They are numbers generated

    by mathematical formulas. Collectively, they are known as the "greeks.

    10.2 Why use Greeks?

    For the general investor and retail options trader, knowing the delta of your

    options position gives you an indication of how your options value will change

    with movements in the underlying stock price - all other variables remaining

    the same. Knowing your time decay (theta) gives you an indication of how

    much time value your option position is losing each day - all other variables

    remaining the same. Other measures are explained below.

    The professional market uses the Greeks to measure exactly how much they

    need to hedge their portfolio. The Greeks also enable the measurement of how

    much risk the portfolio is exposed to, and where that risk lies (with movements

    in interest rates or volatility, for example)

    10.3 Delta

    A by-product of the Black Scholes model is the calculation of delta: the degree

    to which an option price will move given a change in the underlying stock

    price, all else being equal. For example, an option with a delta of 0.5 will move

    half a cent for every one cent movement in the underlying stock.

    A far out-of-the-money call will have a delta very close to zero; an at-the-

    money call a delta of 0.5; a deeply in-the-money call will have a delta close to

    1.

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    Call deltas are positive; put deltas are negative, reflecting the fact that the put

    option price and the underlying stock price are inversely related. The put delta

    equals the call delta minus 1.

    The delta is often called the neutral hedge ratio. For example if you have a

    portfolio of n shares of a stock then n divided by the delta gives you the

    number of calls you would need to write to create a neutral hedge - i.e. a

    portfolio which would be worth the same whether the stock price rose by a

    small amount or fell by a small amount. In such a "delta neutral" portfolio anygain in the value of the shares held due to a rise in the share price should be

    exactly offset by a loss on the value of the calls written, and vice versa.

    Formula:

    10.4 Gamma

    Gamma is a measure of the change in delta for a change in the underlying stock

    price. If you are hedging a portfolio using the delta-hedge technique described

    above, then you will probably want to keep gamma as small as possible. The

    smaller gamma is, the less often you will have to adjust the hedge to maintain a

    delta neutral position. If gamma is too large a small change in stock price could

    break your hedge. Adjusting gamma, however, can be tricky and is generally

    done using options - unlike delta, it cannot be done by buying or selling the

    underlying asset, as the gamma of the underlying asset is, by definition, always

    zero so more or less of it will not affect the gamma of the total portfolio.

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    Formula:

    10.5Vega

    Vega (sometimes known as kappa) is the change in option price given a one

    percentage point change in volatility. Vega is used for hedging volatility risk.

    Long calls and long puts always have negative theta. Long calls and long putsboth always have positive vega. Short calls and short puts both always have

    negative vega. Stock has zero vega it's value is not affected by volatility.

    Positive vega means that the value of an option position increases when

    volatility increases, and decreases when volatility decreases. Negative vega

    means that the value of an option position decreases when volatility increases,

    and increases when volatility decreases.

    10.6 Theta

    Theta is the change in option price given a one day decrease in time to

    expiration. It is a measure of time decay. Theta is generally regarded as a

    descriptive statistic, used to gain an idea of how time decay is affecting your

    portfolio, rather than as the basis of a hedge. Hedging a portfolio against time

    decay, the effects of which are completely predictable, would be pointless.

    Short calls and short puts always have positive theta. Stock has zero theta its

    value is not eroded by time. All other things being equal, an option with more

    days to expiration will have more extrinsic value than an option with fewer

    days to expiration

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    10.7Rho

    Rho is the change in option price given a one percentage point change in the

    risk-free interest rate. The more expensive it is to hold a stock position, the

    more expensive the call option. An increase in interest rates increases the value

    of calls and decreases the value of puts. A decrease in interest rates decreases

    the value of calls and increases the value of puts.

    10.1.1 In The Money OptionsA call option is considered In The Money ( ITM ) when the call option's strike

    price is lower than the prevailing market price of the underlying stock, thus

    allowing its owner to buy the underlying stock at lower than the prevailing

    market price by exercising the call option.

    Example : If GOOG is trading at $300, it's $200 strike call options are In The

    Money ( ITM ) as it allows one to buy GOOG at $200 when it is trading at

    $300 now. The $200 strike call options therefore has an intrinsic value of $100.

    A put option is considered In The Money ( ITM ) when the put option's strike

    price is higher than the prevailing market price of the underlying stock, thus

    allowing its owner to sell the underlying stock at higher than the prevailing

    market price by exercising the put option.

    Example : If GOOG is trading at $300, it's $400 strike put options are In The

    Money ( ITM ) as it allows one to sell GOOG at $400 when it is trading at

    $300 now. The $400 strike call options therefore has an intrinsic value of $100.

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    10.1.2At The Money Options

    Stock Options whose strike price is exactly at or very near the prevailing price

    of the underlying stock. At The Money Options ( ATM ) is one of the three

    option money ness states that all option traders has to be familiar with before

    even thinking of actual options trading.

    For example, if QQQQ is trading at $50, it's $50 strike price call and put

    options are At The Money. Usually, this situation is very rare as stock prices

    changes every single minute. Industry experts usually refer to strike priceswithin a few cents of the prevailing stock price as At The Money too. At The

    Money is also the only status where both call option and put option occurs

    together.

    10.1.3 Out of The Money Options

    A call option is considered Out Of The Money ( OTM ) when the call option's

    strike price is higher than the prevailing market price of the underlying stock. It

    confers you the right to buy the underlying stock at a HIGHER price than the

    prevailing stock price and hence it has no intrinsic value. Such a call option

    will gain in value very quickly should the underlying stock rally above it's

    strike price. As it has completely no intrinsic value and requires the underlying

    stock to gain in price significantly in order to realise a profit, it is also the

    cheapest to buy in terms of absolute dollars.

    Example : If GOOG is trading at $300, it's $400 strike call options are Out Of

    The Money ( OTM ) as it allows one to buy GOOG at $400 when it is trading

    at only $300 now.

    A put option is considered Out Of The Money ( OTM ) when the put option's

    strike price is lower than the prevailing market price of the underlying stock.

    This allows you to sell the undelying stock for lower than the prevailing market

    price which will not make any sense and therefore contains no intrinsic value.

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    Example : If GOOG is trading at $300, it's $200 strike put options are Out Of

    The Money ( OTM ) as it allows one to sell GOOG at $200 when it is trading at

    $300 now.

    10.2 Trading Strategies: Meaning

    10.2.1 Covered Call

    An options strategy whereby an investor holds a long position in an asset and

    writes (sells) call options on that same asset in an attempt to generate increased

    income from the asset. This is often employed when an investor has a short-

    term neutral view on the asset and for this reason hold the asset long and

    simultaneously have a short position via the option to generate income from the

    option premium.

    This is also known as a "buy-write".

    For example, let's say that you own shares of the TSJ Sports Conglomerate and

    like its long-term prospects as well as its share price but feel in the shorter term

    the stock will likely trade relatively flat, perhaps within a few dollars of its

    current price of, say, $25. If you sell a call option on TSJ for $26.00, you earn

    the premium from the option sale but cap your upside.

    10.2.2 Naked Call WritingIn options terminology, "naked" refers to strategies in which the underlying

    stock is not owned and options are written against this phantom stock position.

    (In the articles Come One, Come All -Covered Calls and Married Puts: A

    Protective Relationship, we deal exclusively with options that have underlying

    stock positions.) The naked strategy is a more aggressive, having a lot more

    risk, but it can be used to generate income as part of a diversified portfolio. If

    not used properly, however, a naked call position can have disastrous

    consequences since a stock can theoretically rise to infinity

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    Let us consider the following example: ABC's stock trades for $100 and the

    $105 call that is one month to expiry trades at $2. You, not owning any ABC

    stock, can sell (write) a naked call at $2 and collect $200. By doing so, you are

    speculating that ABC stock will be below $107 ($105 + $2 premium) at expiry

    (if it is below $107, the person to whom you sold the naked call will not

    exercise it). Consider the payoff diagram

    10.2.3 Protective Put

    The investor employing the protective put strategy owns shares of underlying

    stock from a previous purchase, and generally has unrealized profits accrued

    from an increase in value of those shares. He might have concerns about

    unknown, downside market risks in the near term and wants some protection

    for the gains in share value. Purchasing puts while holding shares of underlying

    stock is a directional strategy, but a bullish one.

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    10.2.4 Straddles

    An options strategy with which the investor holds a position in both a call and

    put with the same strike price and expiration date.

    Straddles are a good strategy to pursue if an investor believes that a stock's

    price will move significantly, but is unsure as to which direction. The stock

    price must move significantly if the investor is to make a profit. As shown in

    the diagram above, should only a small movement in price occur in either

    direction, the investor will experience a loss. As a result, a straddle is extremely

    risky to perform. Additionally, on stocks that are expected to jump, the market

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    tends to price options at a higher premium, which ultimately reduces the

    expected payoff should the stock move significantly

    10.2.5 Strangles

    An options strategy where the investor holds a position in both a call and put

    with different strike prices but with the same maturity and underlying asset.

    This option strategy is profitable only if there are large movements in the price

    of the underlying asset.

    This is a good strategy if you think there will be a large price movement in the

    near future but are unsure of which way that price movement will be.

    The strategy involves buying an out-of-the-money call and an out-of-the-

    money put option. A strangle is generally less expensive than a straddle as the

    contracts are purchased out of the money..

    For example, imagine a stock currently trading at $50 a share. To employ the

    strangle option strategy a trader enters into two option positions, one call and

    one put. Say the call is for $55 and costs $300 ($3.00 per option x 100 shares)

    and the put is for $45 and costs $285 ($2.85 per option x 100 shares). If the

    price of the stock stays between $45 and $55 over the life of the option the loss

    to the trader will be $585 (total cost of the two option contracts). The trader

    will make money if the price of the stock starts to move outside of the range.

    Say that the price of the stock ends up at $35. The call option will expire

    worthless and the loss will be $300 to the trader. The put option however has

    gained considerable value, it is worth $715 ($1,000 less the initial option value

    of $285). So the total gain the trader has made is $415.

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    11.Company: ABB LtdDate N(d1) N(d2) sigma Gamma

    0.279 0.399087 0.2 0.000279

    10-Dec-07 0.335 0.368978 0.0684 0.00065

    11-Dec-07 0.080 -0.14598 0.7863 9.1E-05

    12-Dec-07 0.226 0.240338 0.1604 0.000389

    13-Dec-07 0.411 0.257839 0.8436 3.73E-05

    14-Dec-07 0.499 0.497804 0.3602 2.38E-06

    17-Dec-07 0.237 -0.49953 4.1041 1.95E-05

    18-Dec-07 -0.412 -0.42084 0.2177 0.000198

    19-Dec-07 0.026 -0.4953 2.8113 4.14E-05

    20-Dec-07 0.007 -0.4967 2.8726 4.6E-0524-Dec-07 -0.500 -0.5 0.0756 2.79E-33

    26-Dec-07 -0.144 -0.49823 2.5983 0.000126

    27-Dec-07 -0.473 -0.49412 0.6524 8.34E-05

    28-Dec-07 0.103 0.151819 0.1751 0.000327

    31-Dec-07 0.041 -0.39897 1.6707 3.62E-05

    1-Jan-08 -0.315 -0.25107 0.0694 0.000587

    2-Jan-08 -0.500 -0.5 0.0099 2.39E-14

    3-Jan-08 -0.019 -0.19166 0.7311 8.68E-05

    4-Jan-08 -0.026 -0.16413 0.6299 0.000103

    7-Jan-08 -0.063 -0.20572 0.6392 0.000106

    8-Jan-08 -0.087 -0.02573 0.0967 0.000714

    9-Jan-08 -0.048 -0.06218 0.2803 0.00025710-Jan-08 0.073 0.12091 0.1171 0.000626

    11-Jan-08 0.080 -0.47191 2.3447 3.27E-05

    14-Jan-08 -0.235 -0.22562 0.1887 0.000378

    15-Jan-08 0.014 -0.41335 1.6057 5.65E-05

    16-Jan-08 0.036 -0.49008 2.6235 3.71E-05

    17-Jan-08 -0.300 -0.40726 0.6789 0.000108

    18-Jan-08 -0.107 -0.46377 1.7125 6.26E-05

    21-Jan-08 0.154 -0.5 6.8997 1.86E-05

    22-Jan-08 -0.008 -0.5 5.0167 3.3E-05

    23-Jan-08 -0.046 -0.4998 3.5763 4.95E-05

    24-Jan-08 0.048 -0.5 6.6339 2.95E-05

    25-Jan-08 0.094 -0.5 7.559 2.73E-05

    28-Jan-08 -0.240 -0.49999 3.6253 6.49E-05

    29-Jan-08 -0.304 -0.46606 1.0447 0.000247

    30-Jan-08 0.249 -0.49966 4.1185 0.000107

    31-Jan-08 -0.338 -0.49973 2.5242 0.000144

    1-Feb-08 #REF! #REF! 1.902 #REF!

    4-Feb-08 0.337 -0.5 6.6027 1.05E-05

    5-Feb-08 0.287 -0.49997 5.0265 1.52E-05

    6-Feb-08 0.500 0.5 0.0587 3.76E-43

    7-Feb-08 0.500 0.5 0.0587 7.44E-44

    8-Feb-08 0.452 0.414366 0.5205 5.16E-05

    11-Feb-08 0.237 -0.31435 1.7441 5.35E-0512-Feb-08 0.499 0.498844 0.2615 3.75E-06

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    13-Feb-08 0.275 -0.19421 1.4661 6.21E-05

    14-Feb-08 0.272 -0.28591 1.7331 5.31E-0515-Feb-08 0.250 -0.4968 3.591 2.65E-05

    18-Feb-08 0.500 0.5 0.0517 3.4E-116

    19-Feb-08 0.225 -0.476 2.7334 4.36E-05

    20-Feb-08 0.192 -0.49923 3.8165 3.73E-05

    21-Feb-08 0.165 -0.49989 4.2522 4.03E-05

    22-Feb-08 0.142 -0.40481 1.802 0.000112

    25-Feb-08 0.300 0.051489 0.802 0.00027

    26-Feb-08 0.500 0.5 0.1416 3.07E-09

    27-Feb-08 0.500 0.496085 0.9386 1.04E-06

    28-Feb-08 -0.500 -0.5 0.9299 1.15E-07

    29-Feb-08 0.098 -0.49899 3.6085 2.85E-05

    3-Mar-08 0.170 -0.49811 3.5921 3.05E-054-Mar-08 -0.192 -0.42502 1.1896 9.61E-05

    5-Mar-08 -0.195 -0.43603 1.2585 9.25E-05

    7-Mar-08 0.097 -0.49992 4.2669 3.26E-05

    10-Mar-08 0.089 -0.49994 4.2836 3.54E-05

    11-Mar-08 -0.500 -0.5 0.1079 1.86E-24

    12-Mar-08 -0.041 -0.49441 2.6364 5.86E-05

    13-Mar-08 -0.100 -0.49906 3.0509 5.12E-05

    14-Mar-08 -0.076 -0.49473 2.5546 6.48E-05

    17-Mar-08 0.161 -0.5 8.4737 2.22E-05

    18-Mar-08 -0.135 -0.49934 3.025 7.13E-05

    19-Mar-08 -0.170 -0.49988 3.3757 6.13E-0524-Mar-08 -0.500 -0.5 0.0543 0

    25-Mar-08 -0.165 -0.5 4.7832 8.04E-05

    26-Mar-08 -0.500 -0.5 0.7601 9.24E-10

    27-Mar-08 0.056 -0.00968 0.2186 0.002531

    28-Mar-08 0.174 -0.44688 2.3394 4.05E-05

    31-Mar-08 0.007 -0.36541 1.3791 7.99E-05

    1-Apr-08 0.044 -0.40591 1.678 6.65E-05

    2-Apr-08 -0.500 -0.5 0.0083 9.2E-105

    3-Apr-08 0.184 -0.49999 5.1131 2.12E-05

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    11.2 2-month Options

    Date N(d1) N(d2) sigma Gamma

    0.279131 0.399087 0.2 0.000279

    10-Dec-07 0.307485 0.058083 1.1 0.00041

    11-Dec-07 0.492314 -0.5 12.65 2.76E-06

    12-Dec-07 0.279747 -0.42765 2.6 0.00019

    13-Dec-07 0.494816 -0.5 13.7 1.85E-06

    14-Dec-07 0.380294 -0.49999 5.8 5.92E-05

    17-Dec-07 0.5 -0.5 65.85 9.58E-35

    18-Dec-07 0.27789 -0.48738 3.35 0.000166

    19-Dec-07 0.5 -0.5 43.35 1.56E-17

    20-Dec-07 0.5 -0.5 43.05 4.61E-1724-Dec-07 0.218769 -0.07854 1.1 0.000652

    26-Dec-07 0.5 -0.5 37.85 4.42E-13

    27-Dec-07 0.440719 -0.5 9.75 2.63E-05

    28-Dec-07 0.117484 -0.47703 2.6 0.000323

    31-Dec-07 0.499855 -0.5 24.85 5.12E-08

    1-Jan-08 0.11245 -0.14141 1.05 0.0006

    2-Jan-08 -0.02684 0.071935 0.15 0.004404

    3-Jan-08 0.485809 -0.5 11.05 5.51E-06

    4-Jan-08 0.468698 -0.5 9.45 1.26E-05

    7-Jan-08 0.466246 -0.5 9.65 1.37E-05

    8-Jan-08 0.122716 -0.27744 1.45 0.000468

    9-Jan-08 0.284784 -0.49882 4.2 0.00012610-Jan-08 0.15545 -0.33733 1.75 0.000385

    11-Jan-08 0.5 -0.5 35 3.83E-14

    14-Jan-08 0.192625 -0.47099 2.75 0.000249

    15-Jan-08 0.499977 -0.5 23.45 8.59E-09

    16-Jan-08 0.5 -0.5 37.7 1.8E-14

    17-Jan-08 0.445839 -0.5 9.5 2.45E-05

    18-Jan-08 0.499966 -0.5 23.8 1.32E-08

    21-Jan-08 0.5 -0.5 94.25 6.95E-56

    22-Jan-08 0.5 -0.5 63.8 7.18E-28

    23-Jan-08 0.5 -0.5 43.2 2.58E-15

    24-Jan-08 0.5 -0.5 83 2.12E-41

    25-Jan-08 0.5 -0.5 88.3 4.71E-45

    28-Jan-08 0.5 -0.5 45.55 7.52E-15

    29-Jan-08 0.493163 -0.5 12.65 3.19E-06

    30-Jan-08 0.5 -0.5 49.35 1.03E-25

    31-Jan-08 0.5 -0.5 29 4.2E-12

    1-Feb-08 0.499981 -0.5 21.3 8.6E-09

    4-Feb-08 0.5 -0.5 75.35 6.27E-48

    5-Feb-08 0.5 -0.5 61.15 6.87E-33

    6-Feb-08 0.356893 0.251463 0.75 0.00065

    7-Feb-08 0.356347 0.249492 0.75 0.000659

    8-Feb-08 0.401051 -0.5 6.65 5.74E-05

    11-Feb-08 0.499946 -0.5 22.4 2.27E-0812-Feb-08 0.277575 -0.48598 3.3 0.00021

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    13-Feb-08 0.499176 -0.5 18.55 3.53E-07

    14-Feb-08 0.499899 -0.5 22.25 4.14E-0815-Feb-08 0.5 -0.5 46.9 2.94E-18

    18-Feb-08 0.398428 0.31238 0.7 0.000596

    19-Feb-08 0.5 -0.5 37 1.77E-12

    20-Feb-08 0.5 -0.5 50.25 3.19E-18

    21-Feb-08 0.5 -0.5 53.85 1.11E-19

    22-Feb-08 0.499429 -0.5 21.85 2.61E-07

    25-Feb-08 0.41776 -0.5 9.55 4.7E-05

    26-Feb-08 0.26316 -0.26007 1.7 0.000547

    27-Feb-08 0.445886 -0.5 11.25 2.97E-05

    28-Feb-08 0.424166 -0.5 11.25 3.97E-05

    29-Feb-08 0.5 -0.5 43.25 9.82E-21

    3-Mar-08 0.5 -0.5 41.5 1.16E-184-Mar-08 0.492865 -0.5 13.25 3.64E-06

    5-Mar-08 0.49439 -0.5 13.85 2.8E-06

    7-Mar-08 0.5 -0.5 47.55 1.72E-21

    10-Mar-08 0.5 -0.5 45.7 2.54E-19

    11-Mar-08 -0.06653 -0.34622 1.2 0.00085

    12-Mar-08 0.5 -0.5 29.3 1.2E-10

    13-Mar-08 0.5 -0.5 34.8 9.5E-13

    14-Mar-08 0.499999 -0.5 28.25 5.43E-10

    17-Mar-08 0.5 -0.5 96.1 9.36E-58

    18-Mar-08 0.5 -0.5 31.4 1.56E-10

    19-Mar-08 0.5 -0.5 36.1 3.85E-1224-Mar-08 -0.34485 -0.40711 0.6 0.001234

    25-Mar-08 0.5 -0.5 52.85 8.44E-18

    26-Mar-08 0.381509 -0.5 8.8 6.85E-05

    27-Mar-08 0.171613 -0.46627 2.55 0.000438

    28-Mar-08 0.499905 -0.5 27.35 4.26E-08

    31-Mar-08 0.484208 -0.5 16.5 7.93E-06

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    11.33-month

    Date N(d1) N(d2) sigma Gamma

    0.279 0.399087 0.2 0.000279

    10-Dec-07 0.271 0.137151 0.8584 0.000366

    11-Dec-07 0.301 0.19964 0.7863 2.93E-05

    12-Dec-07 0.499 0.499567 0.1604 2.08E-06

    13-Dec-07 0.270 0.138378 0.8436 3E-05

    14-Dec-07 0.408 0.423097 0.3602 3.88E-05

    17-Dec-07 0.342 -0.49602 4.1041 5.32E-06

    18-Dec-07 0.398 0.433005 0.2177 7.74E-05

    19-Dec-07 0.260 -0.45201 2.8113 1.09E-05

    20-Dec-07 0.279 -0.4523 2.8726 1.08E-0524-Dec-07 0.500 0.5 0.0756 9.89E-10

    26-Dec-07 0.263 -0.42846 2.5983 1.3E-05

    27-Dec-07 0.285 0.209834 0.6524 4.86E-05

    28-Dec-07 0.416 0.446678 0.1751 9.71E-05

    31-Dec-07 0.230 -0.24388 1.6707 2.19E-05

    1-Jan-08 0.260 0.130247 0.8594 0.000404

    2-Jan-08 0.500 0.5 0.0099 6.38E-56

    3-Jan-08 0.334 0.264251 0.7311 3.13E-05

    4-Jan-08 0.363 0.326339 0.6299 3.23E-05

    7-Jan-08 0.353 0.310572 0.6392 3.39E-05

    8-Jan-08 0.500 0.5 0.0967 8.33E-12

    9-Jan-08 0.481 0.488197 0.2803 1.58E-0510-Jan-08 0.500 0.499967 0.1171 4.32E-07

    11-Jan-08 0.256 -0.38413 2.3447 1.35E-05

    14-Jan-08 0.476 0.487388 0.1887 3.13E-05

    15-Jan-08 0.212 -0.22632 1.6057 2.28E-05

    16-Jan-08 0.273 -0.42434 2.6235 1.3E-05

    17-Jan-08 0.285 0.20864 0.6789 5.05E-05

    18-Jan-08 0.192 -0.28083 1.7125 2.49E-05

    21-Jan-08 0.429 -0.5 6.8997 2.68E-06

    22-Jan-08 0.362 -0.49977 5.0167 6.77E-06

    23-Jan-08 0.299 -0.48985 3.5763 1.24E-05

    24-Jan-08 0.415 -0.5 6.6339 3.85E-06

    25-Jan-08 0.441 -0.5 7.559 2.57E-06

    28-Jan-08 0.285 -0.49255 3.6253 1.32E-05

    29-Jan-08 0.158 -0.09477 1.0447 6.08E-05

    30-Jan-08 0.293 -0.49818 4.1185 1.28E-05

    31-Jan-08 0.286 -0.40987 2.5242 2.29E-05

    1-Feb-08 0.282 -0.24041 1.902 2.54E-05

    4-Feb-08 0.449 -0.5 6.6027 2.44E-06

    5-Feb-08 0.403 -0.49944 5.0265 4.71E-06

    6-Feb-08 0.500 0.5 0.0587 4.86E-15

    7-Feb-08 0.500 0.5 0.0587 7.62E-15

    8-Feb-08 0.324 0.306411 0.5205 6.65E-05

    11-Feb-08 0.228 -0.25526 1.7441 2.63E-0512-Feb-08 0.437 0.456364 0.2615 6.7E-05

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    13-Feb-08 0.227 -0.16312 1.4661 3.16E-05

    14-Feb-08 0.238 -0.24458 1.7331 2.56E-0515-Feb-08 0.311 -0.48857 3.591 9.81E-06

    18-Feb-08 0.500 0.5 0.0517 2.47E-09

    19-Feb-08 0.240 -0.45242 2.7334 1.58E-05

    20-Feb-08 0.293 -0.49506 3.8165 1.07E-05

    21-Feb-08 0.309 -0.49848 4.2522 1E-05

    22-Feb-08 0.125 -0.35798 1.802 3.54E-05

    25-Feb-08 0.031 -0.12605 0.802 8.63E-05

    26-Feb-08-

    0.193 -0.09732 0.1416 0.000433

    27-Feb-08 0.189 -0.01991 0.9386 6.57E-05

    28-Feb-08 0.011 -0.19544 0.9299 7.55E-05

    29-Feb-08 0.311 -0.49029 3.6085 1.39E-053-Mar-08 0.350 -0.48062 3.5921 1.03E-05

    4-Mar-08 0.262 0.003812 1.1896 4.37E-05

    5-Mar-08 0.279 -0.00251 1.2585 3.98E-05

    7-Mar-08 0.364 -0.49643 4.2669 9E-06

    10-Mar-08 0.371 -0.49635 4.2836 8.83E-06

    11-Mar-08 0.500 0.5 0.1079 3.22E-10

    12-Mar-08 0.301 -0.40795 2.6364 1.81E-05

    13-Mar-08 0.305 -0.45829 3.0509 1.56E-05

    14-Mar-08 0.263 -0.41664 2.5546 2.11E-05

    17-Mar-08 0.473 -0.5 8.4737 1.41E-06

    18-Mar-08 0.265 -0.46836 3.025 2.06E-05

    19-Mar-08 0.311 -0.48 3.3757 1.54E-05

    24-Mar-08 0.500 0.499996 0.0543 2.93E-07

    25-Mar-08 0.373 -0.49936 4.7832 8.08E-06

    26-Mar-08 0.353 0.259983 0.7601 5.36E-05

    27-Mar-08 0.499 0.499609 0.2186 2.17E-06

    28-Mar-08 0.239 -0.40098 2.3394 2.41E-05

    31-Mar-08 0.204 -0.17042 1.3791 4.41E-05

    1-Apr-08 0.255 -0.22209 1.678 3.32E-05

    2-Apr-08 0.500 0.5 0.0083 6.09E-28

    3-Apr-08 5.1131 #DIV/0!

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    1-month Call

    N(d1)

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0 5 10 15 20 25 30 35 40

    N

    1 month put

    Time to Expire

    0

    5

    10

    15

    20

    25

    30

    35

    40

    -0.6 -0.4 -0.2 0 0.2 0.4 0.6

    Time to Ex

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    2-month Call

    -0.4

    -0.3

    -0.2

    -0.10

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0 10 20 30 40 50 60 70

    Seri

    2-Month Put

    0

    10

    2030

    40

    50

    60

    70

    -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4

    Seri

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    3-Month Call

    -0.3

    -0.2

    -0.10

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0 20 40 60 80 100

    Seri

    3-Month Put

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0 20 40 60 80 100

    Seri

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    11.2 Analysis :

    11.2.1 Delta for Call Options

    1-Month

    For this Company, Call options for 1 month are very volatile and they react

    very heavily with a small change in the spot price, in all there are 31 options

    which are highly insignificant to exercise & the other remaining options are in

    between 0.2 & 0.6 which signifies ATM options i.e it will not cause any losses

    to the traders if they exercise the option.

    2-Months

    The analysis for this month option is completely opposite from the previous

    one because there are hardly 3 options which are of deep OTM, so this is a very

    safe bet for the traders because majority of the options are in the range of 0.5,

    the hedging is effective in case of purchasing 2 month options of ABB

    Company

    3-Months

    Only one option is deep OTM which is negative, so in this company as the

    options time to expiry goes on increasing the effectiveness of hedging also

    increases. But when we consider theta for analysis, the value of the option goes

    on diminishing, but nevertheless the options of this company are turning intopure OTM options. The hedging will be effective for these options which is

    risk free.

    11.2.2 Put Options for Delta

    1 Month

    Around 17 options are deep OTM which are highly insignificant to exercise,

    the same has been reflected from the 1 month call options, so the hedging is not

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    at all effective in case of this scrip, this is a very riskier option specially 1

    month options, other options are lying between 0.0 to 0.6, in that also most of

    them are OTM options.

    2 Months

    As said in the earlier analysis, as the time frame of the option is increasing, the

    scrip is giving out a real significant option to exercise, it shows a better

    position as compared to 1 month options, so exercising this will not harm any

    trader but yes it does not benefit any trader but very safe on hedging.3 Months

    The case has completely turned down in 3 months contract because most of the

    options are highly insignificant to exercise and a trader will suffer losses by

    exercising this option, hedging through this scrip is not at all effective.

    11.2.3 Interpretation for Gamma

    There is a positive correlation between delta & gamma. It also tells that a mereincrease in gamma shows an increase in the value for an increase in the price of

    the option, the pace has went on decreasing subsequently in all the terms of the

    contract. So as previously said there exists a positive correlation between both.

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    11.2.4 Strategies for ABB

    As the options in 1 month are very riskier & very volatile, so the best

    type of strategy suggested for this one is Naked Call because

    exercising this option would be a heavy loss trade.

    Straddles can also be one of the good strategy for this type of option

    because of high volatility in the call as well as in the put options &

    strangles in case of 3 month options because of deep OTM Options.

    According to the research done, straddles can be used as an effective

    hedging tool for 1 & 2 month contracts because the opton is getting

    non-riskier as it is approaching the expiry date & this is the best

    recommended strategy, but not in the case of 3 months because of

    deep OTM options in this scrip.

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    12.Company ACC

    12.1 1-Month

    Date N(d1) N(d2) sigma Gamma

    0.279 0.234946 0.2 0.000279

    10-Dec-07 -0.374 -0.39475 0.5 0.001805

    11-Dec-07 0.365 -0.38273 10.95 8.8E-05

    12-Dec-07 -0.110 -0.21649 1.45 0.001216

    13-Dec-07 0.314 -0.34975 9.85 0.00013

    14-Dec-07 0.500 -0.4999 39.25 5.33E-08

    17-Dec-07 0.498 -0.49823 34.95 1.06E-06

    18-Dec-07 -0.219 -0.28591 1.35 0.001491

    19-Dec-07 0.495 -0.49662 35.9 2.44E-0620-Dec-07 0.483 -0.48614 31.15 9.93E-06

    24-Dec-07 -0.449 -0.46553 2 0.000575

    26-Dec-07 -0.153 -0.22241 3.75 0.00187

    27-Dec-07 -0.274 -0.29971 1.7 0.003367

    28-Dec-07 0.344 -0.35317 6.75 0.000115

    31-Dec-07 0.480 -0.48173 14.25 1.12E-05

    1-Jan-08 0.165 -0.22304 3.55 0.000348

    2-Jan-08 0.264 -0.2806 5.3 0.000201

    3-Jan-08 0.486 -0.48808 16.1 7.91E-06

    4-Jan-08 0.321 -0.35667 7.3 0.000132

    7-Jan-08 0.117 -0.10496 2.2 0.000675

    8-Jan-08 0.481 -0.48122 16.55 1.13E-05

    9-Jan-08 0.472 -0.46701 15.3 1.74E-05

    10-Jan-08 0.500 -0.49992 31.15 5.84E-08

    11-Jan-08 0 .500 -0.5 40.15 8.54E-10

    14-Jan-08 0.490 -0.49291 22.15 6.34E-06

    15-Jan-08 0.201 -0.32838 7.05 0.00027

    16-Jan-08 0.369 -0.41357 12.25 0.0001

    17-Jan-08 -0.119 -0.29754 2.7 0.000838

    18-Jan-08 0.143 -0.23707 5.3 0.000431

    21-Jan-08 0.500 -0.5 128.35 1E-29

    22-Jan-08 0.404 -0.43516 17.95 8.42E-05

    23-Jan-08 0.489 -0.49159 31.55 8.46E-0624-Jan-08 -0.112 -0.27951 3.5 0.001048

    25-Jan-08 0.461 -0.47046 28.5 2.93E-05

    28-Jan-08 0.215 -0.30506 15.75 0.000298

    29-Jan-08 -0.142 -0.27436 5.25 0.001211

    30-Jan-08 0.278 0.172427 6.1 0.001166

    31-Jan-08 0.318 -0.26313 31 0.000212

    1-Feb-08 0.457 -0.44512 12.2 3.63E-05

    4-Feb-08 0.437 -0.41686 11.35 5.57E-05

    5-Feb-08 0.273 0.153284 1.45 0.0011

    6-Feb-08 0.238 -0.10758 3.8 0.000467

    7-Feb-08 0.342 -0.29131 7.75 0.000172

    8-Feb-08 0.327 -0.26542 7.3 0.00019711-Feb-08 0.500 -0.5 42 1.92E-09

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    12-Feb-08 0.481 -0.47758 19.45 1.61E-05

    13-Feb-08 0.484 -0.48139 20.9 1.25E-0514-Feb-08 0.421 -0.40155 13.8 7.23E-05

    15-Feb-08 0.258 -0.15023 5.75 0.000379

    18-Feb-08 0.229 0.090875 2.3 0.001149

    19-Feb-08 0.496 -0.49495 33.25 2.9E-06

    20-Feb-08 0.456 -0.44597 22.4 3.64E-05

    21-Feb-08 0.348 -0.29628 13.4 0.000162

    22-Feb-08 0.237 -0.09182 6.75 0.000487

    25-Feb-08 0.480 -0.47458 44.3 1.44E-05

    26-Feb-08 0.265 -0.08915 12.8 0.00039

    27-Feb-08 0.003 -0.25929 13.6 0.000685

    28-Feb-08 0.249 0.079492 9 0.000836

    29-Feb-08 0.453 -0.46252 12.7 3.58E-053-Mar-08 0.292 -0.34899 7.2 0.000197

    4-Mar-08 0.500 -0.5 42.05 4.62E-11

    5-Mar-08 0.236 -0.25996 5.45 0.000329

    7-Mar-08 0.260 -0.28557 6.4 0.000282

    10-Mar-08 0.500 -0.49982 32.7 1.69E-07

    11-Mar-08 0.500 -0.5 45.7 5.8E-10

    12-Mar-08 0.194 -0.25813 5.95 0.00036

    13-Mar-08 0.497 -0.49736 28.2 2.21E-06

    14-Mar-08 0.467 -0.47153 19.8 2.49E-05

    17-Mar-08 0.490 -0.49171 28.5 7.42E-06

    18-Mar-08 0.267 -0.33092 10.75 0.00023819-Mar-08 0.392 -0.41444 17.6 9.17E-05

    24-Mar-08 0.381 -0.40351 27.4 9.92E-05

    25-Mar-08 0.129 -0.23073 12.75 0.00049

    26-Mar-08 -0.500 -0.5 0.05 0

    27-Mar-08 -0.057 -0.17023 5.7 0.001608

    28-Mar-08 0.482 -0.48172 15.4 1.26E-05

    31-Mar-08 0.450 -0.43793 12.4 3.94E-05

    1-Apr-08 0.327 0.218103 1.45 0.000853

    2-Apr-08 0.463 -0.45273 14.1 2.77E-05

    3-Apr-08 0.432 -0.41333 11.9 5.55E-05

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    12.22-Month

    Date N(d1) N(d2) sigma 0.000279

    0.279 0.399087 0.2 0.001062

    10-Dec-07 0.368 0.340479 0.5 1.01E-05

    11-Dec-07 0.482 -0.5 10.95 0.000565

    12-Dec-07 0.238 -0.17124 1.45 1.88E-05

    13-Dec-07 0.468 -0.5 9.85 2.29E-16

    14-Dec-07 0.500 -0.5 39.25 1.86E-13

    17-Dec-07 0.500 -0.5 34.95 0.000661

    18-Dec-07 0.230 -0.15189 1.35 1.7E-13

    19-Dec-07 0.500 -0.5 35.9 3.11E-11

    20-Dec-07 0.500 -0.5 31.15 0.00056224-Dec-07 0.167 -0.39353 2 0.000253

    26-Dec-07 0.275 -0.49634 3.75 0.000644

    27-Dec-07 0.213 -0.29595 1.7 0.000104

    28-Dec-07 0.366 -0.5 6.75 1.03E-05

    31-Dec-07 0.482 -0.5 14.25 0.000192

    1-Jan-08 0.299 -0.4896 3.55 0.000106

    2-Jan-08 0.355 -0.49994 5.3 3.67E-07

    3-Jan-08 0.499 -0.5 16.1 4.84E-05

    4-Jan-08 0.427 -0.5 7.3 0.000425

    7-Jan-08 0.189 -0.40815 2.2 5.2E-07

    8-Jan-08 0.499 -0.5 16.55 1.26E-06

    9-Jan-08 0.498 -0.5 15.3 3.33E-1210-Jan-08 0 .500 -0.5 31.15 8.95E-17

    11-Jan-08 0 .500 -0.5 40.15 2.93E-08

    14-Jan-08 0 .500 -0.5 22.15 8.05E-05

    15-Jan-08 0.403 -0.5 7.05 1.11E-05

    16-Jan-08 0.484 -0.5 12.25 0.000412

    17-Jan-08 0.240 -0.45702 2.7 0.000162

    18-Jan-08 0.335 -0.49997 5.3 1.03E-98

    21-Jan-08 0.500 -0.5 128.35 1.5E-06

    22-Jan-08 0 .498 -0.5 17.95 2.26E-10

    23-Jan-08 0.500 -0.5 31.55 0.00048

    24-Jan-08 0.075 -0.49866 3.5 5.44E-09

    25-Jan-08 0.500 -0.5 28.5 7.64E-06

    28-Jan-08 0.489 -0.5 15.75 0.000135

    29-Jan-08 0.361 -0.49992 5.25 8.64E-05

    30-Jan-08 0.408 -0.49999 6.1 5.16E-13

    31-Jan-08 0.500 -0.5 31 6.28E-06

    1-Feb-08 0.492 -0.5 12.2 1.19E-05

    4-Feb-08 0.485 -0.5 11.35 0.000728

    5-Feb-08 0.279 -0.12408 1.45 0.000262

    6-Feb-08 0.304 -0.49509 3.8 6.25E-05

    7-Feb-08 0.430 -0.5 7.75 7.51E-05

    8-Feb-08 0.418 -0.5 7.3 2.22E-16

    11-Feb-08 0.500 -0.5 42 4.19E-0712-Feb-08 0.499 -0.5 19.45 1.9E-07

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    13-Feb-08 0.500 -0.5 20.9 9.61E-06

    14-Feb-08 0.487 -0.5 13.8 0.00020115-Feb-08 0.293 -0.5 5.75 0.00073

    18-Feb-08 0.009 -0.47514 2.3 9.54E-11

    19-Feb-08 0.500 -0.5 33.25 2.48E-07

    20-Feb-08 0.500 -0.5 22.4 1.86E-05

    21-Feb-08 0.475 -0.5 13.4 0.000174

    22-Feb-08 0.312 -0.5 6.75 1.47E-13

    25-Feb-08 0.500 -0.5 44.3 3.06E-05

    26-Feb-08 0.458 -0.5 12.8 2.07E-05

    27-Feb-08 0.473 -0.5 13.6 8.7E-05

    28-Feb-08 0.405 -0.5 9 4.22E-06

    29-Feb-08 0.494 -0.5 12.7 6.43E-05

    3-Mar-08 0.428 -0.5 7.2 1.17E-184-Mar-08 0.500 -0.5 42.05 0.000142

    5-Mar-08 0.369 -0.49996 5.45 0.000106

    7-Mar-08 0.395 -0.5 6.4 3.13E-12

    10-Mar-08 0.500 -0.5 32.7 5.78E-19

    11-Mar-08 0.500 -0.5 45.7 0.000124

    12-Mar-08 0.376 -0.5 5.95 5.13E-10

    13-Mar-08 0.500 -0.5 28.2 2.69E-07

    14-Mar-08 0.500 -0.5 19.8 1.3E-09

    17-Mar-08 0.500 -0.5 28.5 3.21E-05

    18-Mar-08 0.462 -0.5 10.75 1.83E-06

    19-Mar-08 0.497 -0.5 17.6 1.9E-0824-Mar-08 0.500 -0.5 27.4 2.21E-05

    25-Mar-08 0.471 -0.5 12.75 7.22E-89

    26-Mar-08 0.500 0.5 0.05 0.000192

    27-Mar-08 0.334 -0.5 5.7 1.09E-05

    28-Mar-08 0.485 -0.5 15.4 3.72E-05

    31-Mar-08 0.453 -0.5 12.4 0.000552

    1-Apr-08 0.318 -0.05623 1.45 1.31E-06

    2-Apr-08 0.498 -0.5 14.1 4.97E-06

    3-Apr-08 0.493 -0.5 11.9

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    12.33-Month

    Date N(d1) N(d2) sigma Gamma

    0.279 0.399087 0.2 0.000279

    10-Dec-07 0.268 0.258373 0.5 0.001224

    11-Dec-07 0.495 -0.5 10.95 2.63E-06

    12-Dec-07 0.211 -0.16683 1.45 0.000475

    13-Dec-07 0.489 -0.5 9.85 5.99E-06

    14-Dec-07 0.500 -0.5 39.25 7.15E-23

    17-Dec-07 0.500 -0.5 34.95 1.19E-18

    18-Dec-07 0.228 -0.11789 1.35 0.000519

    19-Dec-07 0.500 -0.5 35.9 5.89E-19

    20-Dec-07 0.500 -0.5 31.15 2.15E-1524-Dec-07 0.213 -0.34444 2 0.0004

    26-Dec-07 0.329 -0.49136 3.75 0.000161

    27-Dec-07 0.248 -0.23091 1.7 0.00045

    28-Dec-07 0.430 -0.5 6.75 4.8E-05

    31-Dec-07 0.498 -0.5 14.25 1.06E-06

    1-Jan-08 0.346 -0.47966 3.55 0.000134

    2-Jan-08 0.416 -0.49971 5.3 5.87E-05

    3-Jan-08 0.500 -0.5 16.1 2.74E-08

    4-Jan-08 0.464 -0.5 7.3 2.27E-05

    7-Jan-08 0.233 -0.36626 2.2 0.000318

    8-Jan-08 0.500 -0.5 16.55 3.04E-08

    9-Jan-08 0.500 -0.5 15.3 1.04E-0710-Jan-08 0.500 -0.5 31.15 2.16E-16

    11-Jan-08 0.500 -0.5 40.15 1.33E-23

    14-Jan-08 0.500 -0.5 22.15 1.99E-10

    15-Jan-08 0.445 -0.5 7.05 4.07E-05

    16-Jan-08 0.497 -0.5 12.25 1.99E-06

    17-Jan-08 0.285 -0.42947 2.7 0.000287

    18-Jan-08 0.395 -0.49985 5.3 9.09E-05

    21-Jan-08 0.500 -0.5 128.35 1.9E-167

    22-Jan-08 0.500 -0.5 17.95 5.14E-08

    23-Jan-08 0.500 -0.5 31.55 1.48E-14

    24-Jan-08 0.316 -0.48558 3.5 0.000243

    25-Jan-08 0.500 -0.5 28.5 1.22E-12

    28-Jan-08 0.499 -0.5 15.75 4.52E-07

    29-Jan-08 0.382 -0.49988 5.25 0.000119

    30-Jan-08 0.408 -0.49999 6.1 8.58E-05

    31-Jan-08 0.500 -0.5 31 4.05E-13

    1-Feb-08 0.498 -0.5 12.2 1.23E-06

    4-Feb-08 0.496 -0.5 11.35 2.67E-06

    5-Feb-08 0.209 -0.16783 1.45 0.000661

    6-Feb-08 0.331 -0.49138 3.8 0.000188

    7-Feb-08 0.466 -0.5 7.75 2.73E-05

    8-Feb-08 0.457 -0.5 7.3 3.51E-05

    11-Feb-08 0.500 -0.5 42 1.79E-2412-Feb-08 0.500 -0.5 19.45 5.68E-09

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    13-Feb-08 0.500 -0.5 20.9 1.4E-09

    14-Feb-08 0.499 -0.5 13.8 8.88E-0715-Feb-08 0.399 -0.49997 5.75 9.34E-05

    18-Feb-08 0.205 -0.40914 2.3 0.000466

    19-Feb-08 0.500 -0.5 33.25 7.06E-16

    20-Feb-08 0.500 -0.5 22.4 9.01E-10

    21-Feb-08 0.497 -0.5 13.4 1.84E-06

    22-Feb-08 0.421 -0.5 6.75 6.82E-05

    25-Feb-08 0.500 -0.5 44.3 1.56E-22

    26-Feb-08 0.495 -0.5 12.8 3.41E-06

    27-Feb-08 0.497 -0.5 13.6 2.33E-06

    28-Feb-08 0.468 -0.5 9 2.49E-05

    29-Feb-08 0.494 -0.5 12.7 4.22E-06

    3-Mar-08 0.465 -0.5 7.2 2.79E-054-Mar-08 0.500 -0.5 42.05 5.92E-28

    5-Mar-08 0.413 -0.49984 5.45 8.1E-05

    7-Mar-08 0.441 -0.49999 6.4 5.26E-05

    10-Mar-08 0.500 -0.5 32.7 5.98E-18

    11-Mar-08 0.500 -0.5 45.7 5.95E-30

    12-Mar-08 0.427 -0.49997 5.95 6.24E-05

    13-Mar-08 0.500 -0.5 28.2 2.64E-14

    14-Mar-08 0.500 -0.5 19.8 1.92E-09

    17-Mar-08 0.500 -0.5 28.5 5.91E-14

    18-Mar-08 0.492 -0.5 10.75 6.15E-06

    19-Mar-08 0.500 -0.5 17.6 3.39E-0824-Mar-08 0.500 -0.5 27.4 1.72E-12

    25-Mar-08 0.497 -0.5 12.75 2.29E-06

    26-Mar-08 0.500 0.5 0.05 9.74E-10

    27-Mar-08 0.392 -0.49997 5.7 9.52E-05

    28-Mar-08 0.499 -0.5 15.4 4.54E-07

    31-Mar-08 0.494 -0.5 12.4 4.08E-06

    1-Apr-08 0.188 -0.21243 1.45 0.000742

    2-Apr-08 0.498 -0.5 14.1 1.46E-06

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    1-Month Call

    N(d1) 0.279131361

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0 5 10 15 20 25 30 35 40

    N(d1) 0.279131

    1-Month Put

    -0.6

    -0.5

    -0.4

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0 5 10 15 20 25 30 35 40Seri

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    2-Month Call

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0 10 20 30 40 50 60 70

    Seri

    2 month put

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0 10 20 30 40 50 60 70

    Seri

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    3-Month Call

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0 20 40 60 80 100

    Seri

    3-Month Put

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0 20 40 60 80 100

    Seri

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    12.1Analysis

    12.1.1 Delta for Call Options1-MonthAlmost all the options in 1 month are ATM options, except some of them i.e

    around 10 options are running deep OTM options which is due to high reaction

    to the delta because of high volatility in the market. So most of the times its a

    non-risky investment in this scrip. Traders can hedge their risk effectively in

    this scrip.

    2-Month

    This is one of the safest investment vehicle because from past 6 months, not

    even one option is in negative delta which shows an active sign of hedging &

    almost all the options are lying in the the range of 0.3 to 0.6 which are of ATM

    options. So in all a risk less investment with effective hedging.

    3-Month

    The same trend has been followed as it was in the 2 month contracts, so it is a

    carbon copy of the 2 month call options.

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    12.1.2Delta for Put Options

    1-Month

    The scatter diagram has been distributed in a very wide range, there are Deep

    OTM Options, ATM Options but not ITM options. Sometimes it is very riskier

    because of volatile sessions but only few numbers of options have behaved in

    such a way, but the other options have behaved in great way as the highest

    turnover providing scrip in F&O segment is supposed to be behaved.

    2 & 3 Months

    The options have been very very consistent in both these months, almost all the

    options are of OTM Options which signifies a risk less investment in this

    company scrip. The options which are of deep ITM are not showcased in delta

    because it cannot sustain huge values & that part is taken care by gamma.

    12.1.2 Gamma

    As expected, gamma is positive & it is positively correlated with delta, so it

    shows that any increase in the price will lead to increase in the value of the

    option & as delta cannot withstand huge values, gamma is used to measure the

    pace of change in the values of the delta, in other words it signifies an increase

    in the delta will lead to increase in the value of gamma, which again is a

    positive sign

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    12.2 Strategies for ACC

    As it can be seen from the analysis, some of them are of OTM options &

    for those options which can be riskier sometimes a strategy called as

    Strangles can be used which is also a low cost & also has less margin

    money.

    Covered call is also one of the recommended strategy for this company

    scrip because it is one of the risk less strategy as compared to other

    strategies & as most of them are of ATM options so the investment will

    be partially protected from decline in the prices which may lead to loss

    in the future.

    By going for a covered call, sometimes it provides an additional income

    from the traders investment in this scrip.

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    13.Company : Bharti Airtel

    1-Month

    Date N(d1) N(d2) sigma 0.000279

    0.279 0.399087 0.2 3.95E-05

    10-Dec-07 0.440 -0.5 14.45 1.06E-14

    11-Dec-07 0.500 -0.5 62.95 6.08E-06

    12-Dec-07 0.489 -0.5 22.6 1.29E-15

    13-Dec-07 0.500 -0.5 70.6 4.29E-07

    14-Dec-07 0.499 -0.5 33.85 1.35E-08

    17-Dec-07 0.500 -0.5 49.5 0.000474

    18-Dec-07 0.099 -0.5 5.7 0.000633

    19-Dec-07 0.003 -0.5 4.7 0.000173

    20-Dec-07 0.288 -0.5 13.15 4.98E-06

    24-Dec-07 0.491 -0.5 53.25 0.000688

    26-Dec-07 0.019 -0.5 11.25 0.000418

    27-Dec-07 0.117 -0.5 18.05 6.26E-08

    28-Dec-07 0.500 -0.5 24 2.64E-19

    31-Dec-07 0.500 -0.5 55 9.41E-09

    1-Jan-08 0.500 -0.5 28.8 0.001083

    2-Jan-08 -0.027 -0.3718 1.35 5.59E-06

    3-Jan-08 0.491 -0.5 17.15 0.001764

    4-Jan-08 0.212 0.032279 0.75 5.32E-057-Jan-08 0.423 -0.5 11.3 2.91E-10

    8-Jan-08 0.500 -0.5 38.85 0.000953

    9-Jan-08 -0.013 -0.43777 1.75 0.000196

    10-Jan-08 0.268 -0.5 6.7 0.00052

    11-Jan-08 0.267 -0.