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    Impact of Introduction of Futures Index on the Spot Market: An Empirical Study

    M.P. Birla Institute of Management . 1

    A Research ReportOn

    Impact of the Introduction of Futures MarketOn the Spot Market: An Empirical Study

    Submitted in partial fulfillment of requirement for the award of thedegree of

    Master of Business AdministrationOf

    Bangalore UniversityBy

    VINAY.R

    Reg. No: 05XQCM6114

    Under the Guidance and Supervision

    OfProf.S.SANTHANAM

    M.P.BIRLA INSTITUTE OF MANAGEMENTAssociate Bharathiya Vidya Bhavan

    #43, Race Course Road, BANGALORE-560001

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    Declaration

    I hereby declare, that this project report titled Impact of the

    Introduction of Futures Market on the Spot Market , has been

    successfully completed under the guidance of Prof.S.Santhanam , Project

    Guide, M P Birla Institute of Management in partial fulfillment of Masters inBusiness Administration degree at Bangalore University.

    I further declare that this project report is the result of my own

    efforts and that it has not been submitted to any other university for the

    award of a degree or does not form the basis of any degree or diploma of

    other similar title of recognition in any other university.

    Place: Bangalore Vinay.R

    Date: (Reg. No. 05XQCM6114)

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    Principals Certificate

    This to certify that this report entitledImpact of the Introduction ofFutures Market on the Spot Market has been prepared byMr.Vinay.R bearing Reg.No.05XQCM6114 of M P Birla Institute ofManagement in partial fulfillment of the award of the degree,Masterof Business Administration at Bangalore University , under theguidance and supervision ofProf.S.Santhanam , MPBIM , Bangalore.This report or a similar report on this topic has not been submitted forany other examination and does not form a part of any other courseundergone by Mr.Vinay.R

    Place: Bangalore (Dr. N S Malavalli)Date: Principal

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    ACKNOWLEDGMENT

    I sincerely thank Dr.Nagesh.S.Malavalli (Principal), M.P.Birla Institute of

    Management, Bangalore for granting me the permission to do this Research

    Project.

    I extend my gratitude to Prof. T.V.N.Rao, and also Prof S.Santhanam,

    professor, MPBIM who kindly spared their valuable time giving information

    without which this report would have been incomplete.

    I extend my deep sense of gratitude to my parents who have encouraged and

    helped me to complete this project successfully.

    I would like to extend my thanks to all my friends & the unseen hands that

    have made this project possible.

    Place: Bangalore Vinay.R

    Date : ( Reg. No. 05XQCM6114)

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    TABLE OF CONTENTS

    CHAPTERS PARTICULARS PAGE NO.

    ABSTARCT 1

    1. INTRODUCTION & THEORICALBACKGROUND

    2 -18

    2. LITERATURE REVIEW 19

    2.1 Theoretical consideration 20-22

    2.2 Survey of empirical literature 22-31

    3 RESEARCH METHODOLOGY 32

    3.1 Research problem statement 33

    3.2 Methodology 33-36

    3.3 Software packages used 37

    4 DATA ANALYSIS ANDINTERPRETATION

    38

    4.1 Empirical Results 39-46

    5. CONCLUSION 48

    BIBLIOGRAPHY 49

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    ABSTRACT:

    Among all the innovations that have flooded the international financial markets,

    financial derivatives occupy the driver's seat. Derivatives are financial instruments whose

    values depend on the values of underlying assets.

    Index Futures were introduced in the Indian stock markets in the year 2000 . There has

    been considerable increase in the volumes of trading in these derivative instruments since

    then. Volatility is the most important input in the pricing of an option. For a sophisticated

    trader, a future trading is volatility trading and the trader who can forecast volatility the

    best is the most successful trader.

    The objective of the study is to find out whether the introduction of Index futures has any

    impact on the volatility of the Spot market. This is done by considering the before

    introduction closing prices of index and after introduction closing prices of index. The

    prices are tested for stationarity and volatility is calculated. Using the simple standard

    deviation model the volatilities are calculated. F-test is used for find whether they are

    significant or not.

    Specifically, it is found that new information is assimilated into prices more rapidly than

    before, and there is a decline in the persistence of volatility since the onset of futures

    trading. These results for NSE Nifty are obtained even after accounting for world market

    movements, asymmetric effects and sub-period analysis, and, contrasting the same with a

    control index. Thus it is concluded that such a change in the volatility structure appears to

    be the result of futures trading, which has expanded the routes over which information

    can be conveyed to the market.

    The findings of the study are the index returns are stationary series and average variation

    seems to reduce statistically. It is showing a significant difference for the period June

    1995 to May 2005. Market volatility has not decreased or increased but it remains

    fluctuating day in and day out.

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    INTRODUCTION

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    Introduction

    It has been said in the past that derivatives are a kind of a sideshow; where the main event

    takes place in the money and capital markets. One could attend the sideshow without

    taking part in the main event an vice versa. With respect to derivative and money/capital

    markets, that is simply not true today. Derivatives are so widely used that even if one has

    no intention of using them, it is important to understand how they are used by others and

    what effects, positive and negative, they could have on money and capital markets.

    Without financial futures, investors would have only one trading location to alterportfolio positions when they get new information that is expected to influence either

    value of assets the cash market. The futures market is an alternative market that

    investors can use to alter their risk exposure to an asset when new information is

    acquired. Futures trading is widely used by advanced investors and fund managers to

    hedge their portfolios.

    With the introduction of index futures contracts on two of the existing Indian Stock

    Exchanges, BSE and NSE, in June 2000, questions regarding the impact of the

    introduction of Futures Market on Financial Markets have been up most in the minds of

    the analysts and investors.

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    Derivatives

    Derivative is a product whose value is derived from the value of one or more basic

    variables, called bases i.e. underlying asset, index, or reference rate, in a contractual

    manner. The underlying asset can be equity, forex, commodity or any other asset.

    Derivatives are used by :

    1. Hedgers :

    For protecting against adverse movement. Hedging is a mechanism to

    reduce price risk inherent in open positions. Derivatives are widely used for hedging. A

    Hedge can help lock in existing profits. Its purpose is to reduce the volatility of a

    portfolio, by reducing the risk.

    2. Speculators :

    To make quick fortune by anticipating/forecasting future market

    movements. Hedgers wish to eliminate or reduce the price risk to which they are alreadyexposed. Speculators, on the other hand are those class of investors who willingly take

    price risks to profit from price changes in the underlying. While the need to provide

    hedging avenues by means of derivative instruments is laudable, it calls for the existence

    of speculative traders to play the role of counter-party to the hedgers. It is for this reason

    that the role of speculators gains prominence in a derivatives market.

    3. Arbitrageurs :

    To earn risk-free profits by exploiting market imperfections.

    Arbitrageurs profit from price differential existing in two markets by simultaneously

    operating in the two different markets.

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    Functions

    1. Prices in an organized derivatives market reflect the perception of market

    participants about the future and lead the prices of underlying to the perceivedfuture level. The prices of derivatives converge with the prices of the underlying

    at the expiration of the derivative contract. Thus derivatives help in discovery of

    future as well as current prices.

    2. The derivatives market helps to transfer risks from those who have them but maynot like them to those who have an appetite for them.

    3. Derivatives, due to their inherent nature, are linked to the underlying cashmarkets. With the introduction of derivatives, the underlying market witnesses

    higher trading volumes because of participation by more players who would not

    otherwise participate for lack of an arrangement to transfer risk.

    4. Speculative trades shift to a more controlled environment of derivatives market.In the absence of an organized derivatives market, speculators trade in the

    underlying cash markets. Margining, monitoring and surveillance of the activities

    of various participants become extremely difficult in these kind of mixed markets.

    5. Derivative acts as a catalyst for new entrepreneurial activity i.e. it has a history of

    attracting many bright, creative, well-educated people with an entrepreneurialattitude. They often energize others to create new businesses, new products and

    new employment opportunities, the benefit of which are immense.

    6. Derivatives markets help increase savings and investment in the long run.Transfer of risk enables market participants to expand their volume of activity.

    Types of Derivatives

    Derivatives are basically classified into two based upon the

    mechanism that is used to trade on them.

    1. Over the Counter derivatives

    2. Exchange traded derivatives

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    The OTC derivatives are between two private parties and are designed to suit the

    requirements of the parties concerned.

    The Exchange traded ones are standardized ones where the exchange sets the standards

    for trading by providing the contract specifications and the clearing corporation provides

    the trade guarantee and the settlement activities.

    Exchange-traded vs. OTC derivatives markets

    The OTC derivatives markets have witnessed rather sharp growth over the last few years,

    which have accompanied the modernization of commercial and investment banking andglobalization of financial activities. The recent developments in information technology

    have contributed to a great extent to these developments. While both exchange-traded

    and OTC derivative contracts offer many benefits, the former have rigid structures

    compared to the latter. It has been widely discussed that the highly leveraged institutions

    and their OTC derivative positions were the main cause of turbulence in financial

    markets in 1998. These episodes of turbulence revealed the risks posed to market stability

    originating in features of OTC derivative instruments and markets. The OTC derivatives

    markets have the following features compared to exchange-traded derivatives:

    1. The management of counter-party (credit) risk is decentralized and located within

    individual institutions,

    2. There are no formal centralized limits on individual positions, leverage, or margining,

    3. There are no formal rules for risk and burden-sharing,

    4. There are no formal rules or mechanisms for ensuring market stability and integrity,

    and for safeguarding the collective interests of market participants, and

    5. The OTC contracts are generally not regulated by a regulatory authority and theexchanges self regulatory organization, although they are affected indirectly by

    national legal systems, banking supervision and market surveillance.

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    Some of the features of OTC derivatives markets embody risks to

    financial market stability. The following features of OTC derivatives markets can give

    rise to instability in institutions, markets, and the international financial system:

    (i) the dynamic nature of gross credit exposures;(ii) information asymmetries;(iii) the effects of OTC derivative activities on available aggregate credit;

    (iv) the high concentration of OTC derivative activities in major institutions; and(v) the central role of OTC derivatives markets in the global financial system.

    Instability arises when shocks, such as counter-party credit events and sharp

    movements in asset prices that underlie derivative contracts occur, which significantly

    alter the perceptions of current and potential future credit exposures. When asset prices

    change rapidly, the size and configuration of counter-party exposures can becomeunsustainably large and provoke a rapid unwinding of positions. There has been some

    progress in addressing these risks and perceptions. However, the progress has been

    limited in implementing reforms in risk management, including counterparty, liquidity

    and operational risks, and OTC derivatives markets continue to pose a threat to

    international financial stability. The problem is more acute as heavy reliance on OTC

    derivatives creates the possibility of systemic financial events, which fall outside the

    more formal clearing house structures. Moreover, those who provide OTC derivative

    products, hedge their risks through the use of exchange traded derivatives. In view of the

    inherent risks associated with OTC derivatives, and their dependence on exchange traded

    derivatives, Indian law considers them illegal.

    Classification of Derivatives -

    The financial Derivatives Products can be classified as 1. Forward2. Futures3. Option4. SWAP

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    Forward

    A forward contract is an agreement to buy or sell an asset on a specified date for a

    specified price. One of the parties to the contract assumes a long position and agrees to

    buy the underlying asset on a certain specified future date for a certain specified price.The other party assumes a short position and agrees to sell the asset on the same date for

    the same price. Other contract details like delivery date, price and quantity are negotiated

    bilaterally by the parties to the contract. The forward contracts are normally traded

    outside the exchanges.

    The salient features of forward contracts are as follows -

    1. They are bilateral contracts and hence exposed to counterparty risk.2. Each contract is custom designed, and hence is unique in terms of contract size,

    expiration date and the asset type and quality.

    3. The contract price is generally not available in public domain.4. On the expiration date, the contract has to be settled by delivery of the asset.5. If the party wishes to reverse the contract, it has to compulsorily go to the same

    counterparty, which often results in high prices being charged.

    However forward contracts in certain markets have become very standardized,

    as in the case of foreign exchange, thereby reducing transaction costs and increasing

    transactions volume. This process of standardization reaches its limit in the organized

    futures market.

    Forward contracts are very useful in hedging and speculation. The classic

    hedging application would be that of an exporter who expects to receive payment in

    dollars three months later. He is exposed to the risk of exchange rate fluctuations. By

    using the currency forward market to sell dollars forward, he can lock on to a rate today

    and reduce his uncertainty. Similarly an importer who is required to make a payment in

    dollars two months hence can reduce his exposure to exchange rate fluctuations by

    buying dollars forward.

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    If a speculator has information or analysis, which forecasts an upturn in a price, then he

    can go long on the forward market instead of the cash market. The speculator would go

    long on the forward, wait for the price to rise, and then take a reversing transaction to

    book profits. Speculators may well be required to deposit a margin upfront. However, this

    is generally a relatively small proportion of the value of the assets underlying the forward

    contract. The use of forward markets here supplies leverage to the speculator.

    Limitations of forward contract

    Lack of centralization of trading,

    Illiquidity, and

    Counterparty risk

    Futures

    A futures contract is an agreement between two parties to buy or sell an 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 standardized exchange-traded contracts. These

    contracts are traded on exchanges. In a nutshell futures markets are the extension of the

    forward contracts. These markets being organized/standardized are very liquid by theirown nature. Therefore, liquidity problem, which persists in the forward market, does not

    exist in the futures market. In these markets, clearing corporation/house becomes the

    counter-party to all the trades or provides the unconditional guarantee for the settlement

    of trades i.e.: assumes the financial integrity of the whole system. In other words, we

    may say that the credit risk of the transactions is eliminated by the exchange through the

    clearing corporation/house.

    The standardized items in a futures contract are:

    1. Quantity of the underlying2. Quality of the underlying3. The date and the month of delivery4. The units of price quotation and minimum price change5. Location of settlement

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    Distinction between futures and forwards

    Futures Forwards

    1. Trade on an organized exchange 1. OTC in nature

    2. Standardized contract terms 2. Customized contract termshence more liquid hence less liquid

    3. Requires margin payments 3. No margin payment4. Follows daily settlement 4. Settlement happens at end of period

    Forward contracts are often confused with futures contracts. The confusion

    is primarily because both serve essentially the same economic functions of allocating risk

    in the presence of future price uncertainty. However futures are a significantimprovement over the forward contracts as they eliminate counterparty risk and offer

    more liquidity. Table 3.1 lists the distinction between the two.

    Futures terminology

    Spot price : The price at which an asset trades in the spot market.

    Futures price : The price at which the futures contract trades in the futures market.

    Contract cycle : The period over which a contract trades. The index futures

    contracts on the NSE have one-month, two-months and three-month expiry cycles

    which expire on the last thursday of the month. Thus a January expiration contract

    expires on the last Thursday of January and a February expiration contract ceases

    trading on the last Thursday of February. On the Friday following the last

    Thursday, a new contract having a three-month expiry is introduced for trading.

    Expiry date : It is the date specified in the futures contract. This is the last day on

    which the contract will be traded, at the end of which it will cease to exist.

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    Contract size : The amount of asset that has to be delivered under one contract.

    For instance, the contract size on NSEs futures market is 200 Nifties.

    Basis : In the context of financial futures, basis can be defined as the futures price

    minus the spot price. There will be a different basis for each delivery month for

    each contract. In a normal market, basis will be positive. This reflects that futures

    prices normally exceed spot prices.

    Cost of carry : The relationship between futures prices and spot prices can be

    summarized in terms of what is known as the cost of carry. This measures the

    storage cost plus the interest that is paid to finance the asset less the income

    earned on the asset.

    Initial margin : The amount that must be deposited in the margin account at the

    time a futures contracts first entered into is known as initial margin.

    Marking-to-market : In the futures market, at the end of each trading day, the

    margin account is adjusted to reflect the investors gain or loss depending upon

    the futures closing price. This is called markingtomarket.

    Maintenance margin : This is somewhat lower than the initial margin. This is set

    to ensure that the balance in the margin account never becomes negative. If the

    balance in the margin account falls below the maintenance margin, the investor

    receives a margin call and is expected to top up the margin account to the initial

    margin level before trading commences on the next day.

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    Option

    An option is a contract, which gives the buyer (holder) the right, but not the obligation,

    to buy or sell specified quantity of the underlying assets, at a specific price on or before a

    specified time. The underlying may be physical commodities like wheat/ rice/ cotton/ gold/ oil etc. or financial instruments like equity stocks/ stock index/ bonds etc.

    Option terminology

    Index options : These options have the index as the underlying. Some options are

    European while others are American. Like index futures contracts, index optionscontracts are also cash settled.

    Stock options : Stock options are options on individual stocks. Options currently trade on

    over 500 stocks in the United States. A contract gives the holder the right to buy or sell

    shares at the specified price.

    Buyer of an option : The buyer of an option is the one who by paying the option

    premium buys the right but not the obligation to exercise his option on the seller/writer.

    Writer of an option : The writer of a call/put option is the one who receives the option

    premium and is thereby obliged to sell/buy the asset if the buyer exercises on him. There

    are two basic types of options, call options and put options.

    Call Option - A call option gives the holder (buyer/ one who is long call), the right to

    buy specified quantity of the underlying asset at a specified price on or before a specified

    time. The seller (one who is short call) however, has the obligation to sell the underlying

    asset if the buyer of the call option decides to exercise his option to buy.

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    Put Option A Put option gives the holder (buyer/ one who is long Put), the right to sell

    specified quantity of the underlying asset at a specified price on or before a specified

    time. The seller (one who is short put) however, has the obligation to buy the underlying

    asset if the buyer of the put option decides to exercise his opti on to sell.

    Option price : Option price is the price which the option buyer pays to the option seller. It

    is also referred to as the option premium.

    _ Expiration date : The date specified in the options contract is known as the expiration

    date, the exercise date, the strike date or the maturity.

    Strike price : The price specified in the options contract is known as the strike price or theexercise price.

    American options : American options are options that can be exercised at any time upto

    the expiration date. Most exchange-traded options are American.

    _ European options : European options are options that can be exercised only on the

    expiration date itself. European options are easier to analyze than American options, and

    properties of an American option are frequently deduced from those of its European

    counterpart.

    In-the-money option : An in-the-money (ITM) option is an option that would lead to a

    positive cashflow to the holder if it were exercised immediately. A call option on the

    index is said to be in-the-money when the current index stands at a level higher than the

    strike price (i.e. spot price _ strike price). If the index is much higher than the strike price,

    the call is said to be deep ITM. In the case of a put, the put is ITM if the index is below

    the strike price.

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    At-the-money option : An at-the-money (ATM) option is an option that would lead to

    zero cashflow if it were exercised immediately. An option on the index is at-the-money

    when the current index equals the strike price (i.e. spot price = strike price).

    Out-of-the-money option : An out-of-the-money (OTM) option is an option that would

    lead to a negative cashflow it was exercised immediately. A call option on the index is

    out-of-the-money when the current index stands at a level which is less than the strike

    price (i.e. spot price _strike price). If the index is much lower than the strike price, the call

    is said to be deep OTM. In the case of a put, the put is OTM if the index is above the

    strike price.

    Distinction between futures and options

    Futures Options

    1. Exchange traded, with novation 1. Same as futures.2. Exchange defines the product 2. Same as futures.3. Price is zero, strike price moves 3. Strike price is fixed, price moves.4. Price is zero 4. Price is always positive.

    5. Linear payoff 5. Nonlinear payoff.6. Both long and short at risk 6. Only short at risk.

    SWAP Swap can be defined as "A financial transaction in which two counterparties agree to

    exchange streams of payments, or cash flows, over time". Generally, two types of swaps

    are generally seen i.e. interest rate swaps and currency swaps. A swap results in reducing

    the borrowing cost of both parties. The two major types of swaps are as follows-

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    1. Interest Rate Swap

    These entail swapping only the interest related cash flows between the

    parties in the same currency . There are two main types:

    Coupons swaps : fixed for floating rates

    Basic swaps : the exchange of one bench-mark for another under floating rates

    2. Currency swap

    These entail swapping both principal and interest between the

    parties, with the cash flows in one direction being in a different currency than those in the

    opposite direction. The exchange rate used is the ruling spot rate between the two

    currencies. A currency swap can also be considered as a series of forward contracts. Even

    a currency swap can be combined with an interest rate swap; in that case, the dollar

    outflows would carry LIBOR-based interest rate. As weaker counter parties would not be

    able to get swap quotes for a longer maturity.

    Introduction to derivatives market

    Early forward contracts in the US addressed merchants concerns about ensuring that

    there were buyers and sellers for commodities. However credit risk remained a serious

    problem. To deal with this problem, a group of Chicago businessmen formed the

    Chicago Board of Trade (CBOT) in 1848. The primary intention of the CBOT was to

    provide a centralized location known in advance for buyers and sellers to negotiate

    forward contracts. In 1865, the CBOT went one step further and listed the first exchange

    traded derivatives contract in the US, these contracts were called futures contracts. In

    1919, Chicago Butter and Egg Board, a spin-off of CBOT, was reorganized to allow

    futures trading. Its name was changed to Chicago Mercantile Exchange (CME). TheCBOT and the CME remain the two largest organized futures exchanges, indeed the two

    largest financial exchanges of any kind in the world today. The first stock index futures

    contract was traded at Kansas City Board of Trade . Currently the most popular stock

    index futures contract in the world is based on S&P 500 index, traded on Chicago

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    Mercantile Exchange. During the mid eighties, financial futures became the most active

    derivative instruments generating volumes many times more than the commodity futures.

    Index futures, futures on T-bills and Euro-Dollar futures are the three most popular

    futures contracts traded today. Other popular international exchanges that trade

    derivatives are LIFFE in England, DTB in Germany, SGX in Singapore, TIFFE in Japan,

    MATIF in France, Eurex etc.

    Development of exchange-traded derivatives

    Derivatives have probably been around for as long as people have been trading with one

    another. Forward contracting dates back at least to the 12th century, and may well have

    been around before then. Merchants entered into contracts with one another for future

    delivery of specified amount of commodities at specified price. A primary motivation for

    pre-arranging a buyer or seller for a stock of commodities in early forward contracts was

    to lessen the possibility that large swings would inhibit marketing the commodity after a

    harvest. The following factors have been driving the growth of financial derivatives:

    1. Increased volatility in asset prices in financial markets,

    2. Increased integration of national financial markets with the international markets,

    3. Marked improvement in communication facilities and sharp decline in their costs,

    4. Development of more sophisticated risk management tools, providing economic agents

    a wider choice of risk management strategies, and

    5. Innovations in the derivatives markets, which optimally combine the risks and returns

    over a large number of financial assets leading to higher returns, reduced risk as well

    as transactions costs as compared to individual financial assets.

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    Derivatives market in India

    Approval for derivatives trading

    The first step towards introduction of derivatives trading in India was the promulgation of

    the Securities Laws (Amendment) Ordinance, 1995, which withdrew the prohibition on

    options in securities. The market for derivatives, however, did not take off, as there was

    no regulatory framework to govern trading of derivatives. SEBI set up a 24member

    committee under the Chairmanship of Dr.L.C.Gupta on November 18, 1996 to develop

    appropriate regulatory framework for derivatives trading in India. The committee

    submitted its report on March 17, 1998 prescribing necessary preconditions for

    introduction of derivatives trading in India. The committee recommended that derivativesshould be declared as securities so that regulatory framework applicable to trading of

    securities could also govern trading of securities. SEBI also set up a group in June 1998

    under the Chairmanship of Prof..J.R.Varma, to recommend measures for risk

    containment in derivatives market in India. The report, which was submitted in October

    1998, worked out the operational details of margining system, methodology for charging

    initial margins, broker net worth, deposit requirement and realtime monitoring

    requirements. The SCRA was amended in December 1999 to include derivatives within

    the ambit of securities and the regulatory framework was developed for governing

    derivatives trading. The act also made it clear that derivatives shall be legal and valid

    only if such contracts are traded on a recognized stock exchange, thus precluding OTC

    derivatives. The government also rescinded in March 2000, the threedecade old

    notification, which prohibited forward trading in securities. Derivatives trading

    commenced in India in June 2000 after SEBI granted the final approval to this effect in

    May 2000. SEBI permitted the derivative segments of two stock exchanges, NSE and

    BSE, and their clearing house/corporation to commence trading and settlement in

    approved derivatives contracts. To begin with, SEBI approved trading in index futures

    contracts based on S&P CNX Nifty and BSE30 (Sensex) index. This was followed by

    approval for trading in options based on these two indexes and options on individual

    securities. The trading in index options commenced in June 2001 and the trading in

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    options on individual securities commenced in July 2001. Futures contracts on individual

    stocks were launched in November 2001. Trading and settlement in derivative contracts

    is done in accordance with the rules, bye laws, and regulations of the respective

    exchanges and their clearing house/corporation duly approved by SEBI and notified in

    the official gazette.

    Derivatives market at NSE

    The derivatives trading on the exchange commenced with S&P CNX Nifty Index futures

    on June 12, 2000. The trading in index options commenced on June 4, 2001 and trading

    in options on individual securities commenced on July 2, 2001. Single stock futures were

    launched on November 9, 2001. The index futures and options contract on NSE are based

    on S&P CNX Nifty Index. Currently, the futures contracts have a maximum of 3-month

    expiration cycles. Three contracts are available for trading, with 1 month, 2 months and 3

    months expiry. A new contract is introduced on the next trading day following the expiry

    of the near month contract.

    Trading mechanism

    The futures and options trading system of NSE, called NEAT-F&O trading system,

    provides a fully automated screenbased trading for Nifty futures & options and stock futures & options on a nationwide basis and an online monitoring and surveillance

    mechanism. It supports an anonymous order driven market which provides complete

    transparency of trading operations and operates on strict pricetime priority. It is similar

    to that of trading of equities in the Cash Market (CM) segment. The NEAT-F&O trading

    system is accessed by two types of users. The Trading Members(TM) have access to

    functions such as order entry, order matching, and order & trade management. It provides

    tremendous flexibility to users in terms of kinds of orders that can be placed on the

    system. Various conditions like Good-till-Day, Good-till-Cancelled, Good-till- Date,

    Immediate or Cancel, Limit/Market price, Stop loss, etc. can be built into an order. The

    Clearing Members (CM) use the trader workstation for the purpose of monitoring the

    trading member(s) for whom they clear the trades. Additionally, they can enter and set

    limits to positions, which a trading member ca n take.

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    LITERATURE REVIEW

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    3.1 IMPACT OF THE INTRODUCTION OF FUTURES MARKET

    ON THE SPOT MARKET: AN EMPIRICAL STUDY

    Nupur Hetamsaria, Niranjan Swain

    Using Standard Deviation model: Analyzing the structure of Volatility

    The general approach adopted in the literature is assessed by comparing the spot markets

    volatility before and after the introduction of futures trading. Here volatility is measured

    using standard deviation (Hodgson et al, 1991, herbst et al, 1992) and GARCH model has

    also been a preferred measure of volatility by many researchers (Kalok chan et al 1991,Antoniou and Holmes, 1995, Gregory et al, 1996, Butterworth, University of Durham) to

    accommodate for heteroskedasticity in the observed returns. In this study, they have

    measured volatility by computing the standard deviation of the daily returns. The

    problem of heteroscedasticity does not exist as the data spans for the short period of

    about five years and GARCH is not relevant for measuring volatility for a short time

    span.

    In the first place, the daily returns based on closing prices were computed using equation;

    Rt = (Ct Ct-1)/Ct-1

    Where Ct and Ct-1 are the closing prices on day t and t-1 respectively. Rt represents the

    return in relation to day t. Next, they have computed the variance of this return series to

    understand the inter-day volatility by using equation:

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    The impact of introduction of futures contract on the contracts on the underlying stock

    market has been examined by comparing the daily volatility (measured by standard

    deviation) before and after futures introduction in terms of (Ct-Ct-1)/Ct-1. For this

    purpose they have used monthly periods including the overall period. The question of

    relative volatility f the two markets (futures and spot) have been studied on a

    contemporaneous basis and tested for statistical significance by using F-Test. To examine

    the equality of variance before and after introduction of futures trading researcher, in

    general, have used four tests, viz., a) The F-test, B) the Bartlett test, c) the Levene test

    and D) the modified Levene test. However, in this study, they have only used the F-test.

    As there might be other factors responsible for changes responsible in

    observed volatility, other factors with potential to influence volatility are taken intoaccount. Hence, in order to determine whether the onset of futures trading has had any

    impact on underlying spot market volatility it is necessary to separate the volatility

    arising form market wide factors form the volatility which is specific to futures trading.

    Previous studies have sought to alter out the factors that lead to market wide volatility by

    regressing spot market returns against a proxy variable for which there was no related

    futures contract (antonious and Holmes, 1995, Kamara et al, 1992, Gregory et al, 1996,

    Darren Butterworth). For the purpose of this study, the spot market volatility is regressed

    with the Nifty Junior Index returns (which essentially capture the market wide volatility)

    and a dummy variable. The dummy assumes the value of one for the post futures period

    and zero before the introduction of the futures trading. If the dummy variable is

    significantly different from zero it is considered to have influenced the spot market

    volatility with the inception of futures trading. The data has been analyzed using ordinary

    least squares multiple regression technique. The following model is used for examine the

    impact:

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    Findings and Conclusion

    Volatility of spot index in the pre-futures and post-futures period

    A comparison of Nifty volatility as measured by standard deviation shows that the

    volatility of the post futures period is less than the volatility before the introduction of

    futures volatility. Though the explanatory power due to introduction of futures is low,

    there seems to be statistically significant difference between the volatility before and after

    introduction of futures.

    Below are the Literature review done by studying three research papers

    3.1.1 BEHAVIOUR OF STOCK MARKET VOLATILITY AFTER DERIVATIVES

    - Golaka C Nath

    INTRODUCTION

    The introduction of equity and equity index derivative contracts in Indian market has not

    been very old but today the total notional trading values in derivatives contracts are much

    ahead of cash market. On many occasions, the derivatives notional trading values are

    double the cash market trading values. Given such dramatic changes, we would like to

    study the behavior of volatility in cash market after the introduction of derivatives.

    Impact of derivatives trading on the volatility of the cash market in India has been studied

    by Thenmozhi(2002), Shenbagaraman(2003), Gupta and Kumar (2002) . Gupta and

    Kumar(2002) did find that the overall volatility of underlying market declined after

    introduction of derivatives contracts on indices. Thenmozhi(2002) reported lower level

    volatility in cash market after introduction of derivative contracts. Shenbagaraman(2003)

    reported that there was no significant fall in cash market volatility due to introduction of

    derivatives contracts in Indian market. Raju and Karande (2003) reported a decline in

    volatility of the cash market after derivatives introduction in Indian market. All these

    studies have been done using the market index and not individual stocks. These studies

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    were conducted using data for a smaller period and when the notional trading volume in

    the market was not significant and before tremendous success of futures on individual

    stocks. Today derivatives market in India is more successful and we have more than 3

    years of derivatives market. Hence the present study would use the longer period of data

    to study the behaviour of volatility in the market after derivatives was introduced. The

    study would use indices as well as individual stocks for analysis.

    METHODOLOGY

    This study uses the daily stock market data from January 1999 (for IGARCH data used is

    from January 1998) to October 2003. Thus the daily returns are calculated using the

    following equation:Rt = Log(Pt / Pt -1) *100 (1)

    where Rt is the daily return, Pt is the value of the security on day t and Pt-1

    is the value of the security on day t-1.

    Standard deviation of returns is calculated using the following methods:

    S.D = (Rt -R)2 /(n -1) (2)t =1Where R is the average return over the period. This study calculates the rolling standard

    deviation for 1 year window as well as for a 6 month window to capture the conditional

    dynamics. Next volatility is calculated using Risk Metrics method with l = 0.94

    (IGARCH) and the initial volatility was computed using one year data from January 1998

    to December 1998. Then we have used a GARCH model to estimate the daily volatility.

    In the linear ARCH (q) model originally introduced by Engle (1982), the conditional

    variance ht is postulated to be a linear function of the past q squared innovations:

    In empirical applications of ARCH (q) models a long lag length and a large number of

    parameters are often called for. An alternative and more flexible lag structure is often

    provided by the generalized ARCH, or GARCH (p,q) model proposed independently by

    Bollerslev (1986) and Taylor (1986). In many applications especially with daily

    frequency financial data the estimate for a1 +a2 + ... +aq + b1 + b2 + ... + b p turns out to

    be very close to unity. Engle and Bollerslev (1986) were the first to consider GARCH

    processes with a1 + a2 + ... +a q + b1 + b2 + ... + b p = 1 as a distinct class of models,

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    which they termed integrated GARCH (IGARCH). In the IGARCH class of models a

    shock to the conditional variance is persistent in the sense that it remains important for

    future forecasts of all horizons.

    DATA and DATA CHARACTERISTICS

    The study uses two benchmark indices: S&P CNX NIFTY and S&P CNX NIFTY

    JUNIOR along with selected few stocks for studying the volatility behaviour during the

    period January 1999 to October 2003. 20 stocks have been considered a from the NIFTY

    and Junior NIFTY category. Out of the 20 stocks, 13 have single stock futures and

    options while 7 do not have the same. Futures and options are available on S&P CNX

    NIFTY but not on S&P CNX NIFTY Junior.

    CONCLUSION

    The paper studies the behavior of volatility in equity market in pre and post derivatives

    period in India using static and conditional variance. Conditional volatility has been

    modeled using four different method: GARCH(1,1), IGARCH with l = 0.94, one year

    rolling window of standard deviation and a 6 month rolling standard deviation. We have

    considered 20 stocks randomly from the NIFTY and Junior NIFTY basket as well as

    benchmark indices itself. Also static point volatility analysis has been used dividing the

    period under study among various time buckets and justified the creation of such time

    buckets. While studying conditional volatility it is observed that for most of the stocks,

    the volatility has come down in the post derivative period while for only few stocks in the

    sample (details are in Annexure II and III) the volatility in the post derivatives has either

    remained more or less same or has increased marginally. All these methods suggested

    that the volatility of the market as measured by benchmark indices like S&P CNX

    NIFTY and S&P CNX NIFTY JUNIOR have fallen after in the post derivatives period.

    The finding is in line with the earlier findings of Thenmozhi (2002), Shenbagaraman

    (2003), Gupta and Kumar (2002) and Raju and Karande (2003). The earlier studies used

    shorter period of data and pre single stock futures and options period data while we have

    used data for a longer period that has taken into account various cyclical trends into

    consideration.

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    3.1.2 EFFECT OF INTRODUCTION OF INDEX FUTURES ON

    STOCK MARKET VOLATILITY: THE INDIAN EVIDENCE

    - O.P. Gupta

    INTRODUCTION

    The Indian capital market has witnessed a major transformation and structural change

    during the past one decade or so as a result of on going financial sector reforms initiated

    by the Government of India since 1991 in the wake of policies of liberalization and

    globalization. The major objectives of these reforms have been to improve market

    efficiency, enhancing transparency, checking unfair trade practices, and bringing theIndian capital market up to international standards. As a result of the reforms several

    changes have also taken place in the operations of the secondary markets such as

    automated on-line trading in exchanges enabling trading terminals of the National Stock

    Exchange (NSE) and Bombay Stock Exchange (BSE) to be available across the country

    and making geographical location of an exchange irrelevant; reduction in the settlement

    period, opening of the stock markets to foreign portfolio investors etc. In addition to these

    developments, India is perhaps one of the real emerging markets in South Asian region

    that has introduced derivative products on two of its principal existing exchanges viz.,

    BSE and NSE in June 2000 to provide tools for risk management to investors. There had,

    however, been a considerable debate on the question of whether derivatives should be

    introduced in India or not. The L.C. Gupta Committee on Derivatives, which examined

    the whole issue in details, had recommended in December 1997 the introduction of stock

    index futures in the first place (1). The preparation of regulatory framework for the

    operations of the index futures contracts took another two and a half-year more as it

    required not only an amendment in the Securities Contracts (Regulation) Act, 1956 butalso the specification of the regulations for such contracts. Finally, the Indian capital

    market saw the launching of index futures on June 9, 2000 on BSE and on June 12, 2000

    on the NSE. A year later options on index were also introduced for trading on these

    exchanges. Later, stock options on individual stocks were launched in July 2001. The

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    latest product to enter in to the derivative segment on these exchanges is contracts on

    stock futures in November 2001. Thus, with the launch of stock futures, the basic range

    of equity derivative products in India seems to be complete.

    METHODOLOGY

    Following Ibrahim et al. [1999] and Kar et.al. [2000], the study has used four measures of

    volatility. The first measure is based upon close-to-close prices. Therefore, in the first

    place, the daily returns based on closing prices were computed using equation

    Rt = ln (Ct/Ct-1) (1)

    Where Ct and Ct-1 are the closing prices on day t and t-1 respectively;

    Rt represents the return in relation to day t. Next, we have computed the variance of this

    return series to understand the inter-day volatility. The second measure of volatility isbased upon open-to-open prices. Analogously, variance of the daily has been computed

    from returns series based on open-to-open prices. The third measure of volatility

    estimates intra- day volatility. It has been estimated by using Parkinson .s [1980]extreme value estimator, which is considered to be more efficient.

    2.1 The Data

    The data employed in the study consists of daily prices of two major stock market indices

    viz., the S&P CNX Nifty Index (henceforth Nifty Index) and the BSE Sensex (BSE

    Index) for a four year period from June 8, 1998 to June 30, 2002. For each of these

    indices four sets of prices were used. These were daily high, low, open, and close prices.

    Likewise, daily high, low, open, and close prices were used from June 9, 2000 to March

    31, 2002 for the BSE Index Futures (7) and from June 12, 2000 to June 30, 2001 for the

    Nifty Index Futures. The necessary data have from collected from the Derivative

    Segments of both of these exchanges.

    CONCLUSIONS

    This paper has been aimed at examining the impact of index futures introduction on stock

    market volatility. Further, it has also examined the relative volatility of spot market and

    futures market. The study utilized daily price data (high, low, open and close) for BSE

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    Sensex and S&P CNX Nifty Index from June 1998 to June 2002. Similar data from June

    9, 2000 to March 31, 2002 have also been used for BSE Index Futures and from June 12,

    2000 to June 30, 2002 for the Nifty Index Futures. The study has used four measures of

    volatility: (a) the first is based upon close-to-close prices, (b) the second is based upon

    open-to-open prices, (c) the third is Parkinson .s Extreme Value Estimator, and (d) thefourth is Garman-Klass measure volatility (GKV). The empirical results reported here

    indicate that the over-all volatility of the underlying stock market has declined after the

    introduction of index futures on both the indices in terms of all the three measures i.e. ln

    (Ct/Ct-1) ln(Ot/Ot-1) and ln(Ht/Lt). It must, however, be noted that since the introduction

    of index futures the Indian stock market has witnessed several changes in its market

    micro-structure such as the abolition of the traditional `badla system , reduction in the

    trading cycle etc. Therefore, these results should be interpreted in the light of thesechanges. However, there is no conclusive evidence, which suggests that, the futures

    volatility is higher (lower) in comparison to the underlying stock market for both the

    indices in terms of all the four measures of volatility. In fact, there is some evidence that

    the futures volatility is lower in some months in comparison to the underlying stock

    market for both of these indices. These results are in contrast to those reported for the

    other emerging markets. The study, being first in the Indian context, has several policy

    implications for regulators, policy makers, and investors.

    3.1.3 DO FUTURES AND OPTIONS TRADING INCREASE STOCK

    MARKET VOLATILITY?

    -Dr. Premalata Shenbagaraman

    INTRODUCTION

    In the last decade, many emerging and transition economies have started introducing

    derivative contracts. As was the case when commodity futures were first introduced on

    the Chicago Board of Trade in 1865, policymakers and regulators in these markets are

    concerned about the impact of futures on the underlying cash market. One of the reasons

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    for this concern is the belief that futures trading attract speculators who then destabilize

    spot prices. This concern is evident in the following excerpt from an article by John

    Stuart Mill (1871):

    The safety and cheapness of communications, which enable a deficiency in one place tobe, supplied from the surplus of another render the fluctuations of prices much lessextreme than formerly. This effect is much promoted by the existence of speculativemerchant. Speculators, therefore, have a highly useful office in the economy of society ..Since futures encourage speculation, the debate on the impact of speculators intensifiedwhen futures contracts were first introduced for trading; beginning with commodity

    futures and moving on to financial futures and recently futures on weather and electricity.

    However, this traditional favorable view towards the economic benefits of speculative

    activity has not always been acceptable to regulators. For example, futures trading wasblamed by some for the stock market crash of 1987 in the USA, thereby warranting more

    regulation. However before further regulation in introduced, it is essential to determine

    whether in fact there is a causal link between the introduction of futures and spot market

    volatility. It therefore becomes imperative that we seek answers to questions like: What is

    the impact of derivatives upon market efficiency and liquidity of the underlying cash

    market? To what extent do derivatives destabilize the financial system, and how should

    these risks be addressed? Can the results from studies of developed markets be extended

    to emerging markets? This paper seeks to contribute to the existing literature in many

    ways. This is the first study to examine the impact of financial derivatives introduction on

    cash market volatility in an emerging market, India. Further, this study improves upon the

    methodology used in prior studies by using a framework that allows for generalized auto-

    regressive conditional heteroskedasticity (GARCH) i.e., it explicitly models the volatility

    process over time, rather than using estimated standard deviations to measure volatility.

    This estimation technique enables us to explore the link between information/news

    arrival in the market and its effect on cash market volatility. The study also looks at the

    linkages in ongoing trading activity in the futures market with the underlying spot market

    volatility by decomposing trading volume and open interest into an expected component

    and an unexpected (surprise) component. Finally this is the first study to our knowledge

    that looks at the effects of both stock index futures introduction as well as stock index

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    options introduction on the underlying cash market volatility. The results of this study are

    crucial to investors, stock exchange officials and regulators. Derivatives play a very

    important role in the price discovery process and in completing the market. Their role in

    risk management for institutional investors and mutual fund managers need hardly be

    overemphasized. This role as a tool for risk management clearly assumes that derivatives

    trading do not increase market volatility and risk. The results of this study will throw

    some light on the effects of derivative introduction on the efficiency and volatility of the

    underlying cash markets.

    METHODOLOGY

    One of the key assumptions of the ordinary regression model is that the errors have the

    same variance throughout the sample. This is also called the homoskedasticity model. If the error variance is not constant, the data are said to be heteroskedastic. Since ordinary

    least-squares regression assumes constant error variance, heteroskedasticity causes the

    OLS estimates to be inefficient. Models that take into account the changing variance can

    make more efficient use of the data. There are several approaches to dealing with

    heteroskedasticity. If the error variance at different times is known, weighted regression

    is a good method. If, as is usually the case, the error variance is unknown and must be

    estimated from the data, one can model the changing error variance. In the past, studies of

    volatility have used constructed volatility measures like estimated standard deviations,

    rolling standard deviations, etc, to discern the effect of futures introduction. These studies

    implicitly assume that price changes in spot markets are serially uncorrelated and

    homoskedastic. However, findings of heteroskedasticity in stock returns are well

    documented (Mandelbrot 1963), Fama (1965), Bollerslev (1986). Thus the observed

    differences in variances from models assuming homoscedasticity may simply be due to

    the effect of return dependence and not necessarily due to futures introduction. The

    GARCH model assumes conditional heteroscedasticity, with homoskedastic

    unconditional error variance. That is, the model assumes that the changes in variance are

    a function of the realizations of preceding errors and that these changes represent

    temporary and random departures from a constant unconditional variance, as might be the

    case when using daily data. The advantage of a GARCH model is that it captures the

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    tendency in financial data for volatility clustering. It therefore enables us to make the

    connection between information and volatility explicit, since any change in the rate of

    information arrival to the market will change the volatility in the market. Thus, unless

    information remains constant, which is hardly the case, volatility must be time varying,

    even on a daily basis. The impact of stock index futures and option contract introduction

    in the Indian market is examined using a unvaried GARCH (1, 1) model. The time series

    of daily returns on the S&P CNX Nifty Index is modeled as a univariate GARCH

    process. Following Pagan and Schwert (1990) and Engle and Ng (1993), we need to

    remove from the time series any predictability associated with lagged world returns

    and/or day of the week effects. Further, it is required to control for the effect of market

    wide factors, since one is interested in isolating the unique impact of the introduction of

    the futures/options contracts. Fortunately for the Indian stock market there is an index,the Nifty Junior, which comprises stocks for which no futures contracts are traded. As

    such, it serves as a perfect control variable for us to isolate market wide factors and

    thereby concentrate on the residual volatility in the Nifty as a direct result of the

    introduction of the index derivative contracts. Therefore the study introduces the return

    on the Nifty Junior index as an additional independent variable.

    CONCLUSION

    In this study one has examined the effects of the introduction of the Nifty futures and

    options contracts on the underlying spot market volatility using a model that captures the

    heteroskedasticity in returns that characterize stock market returns. The results indicate

    that derivatives introduction has had no significant impact on spot market volatility. This

    result is robust to different model specifications. However, futures introduction seems to

    have changed the sensitivity of nifty returns to the S&P500 returns. Also, the day-of-the

    week effects seem to have dissipated after futures introduction. Later the model is

    estimated separately for the pre and post futures period and finds that the nature of the

    GARCH process has changed after the introduction of the futures trading. Pre-futures, the

    effect of information was persistent over time, i.e. a shock to todays volatility due to

    some information that arrived in the market today, has an effect on tomorrow s volatilityand the volatility for days to come. After futures contracts started trading the persistence

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    has disappeared. Thus any shock to volatility today has no effect on tomorrows volatility

    or on volatility in the future. This might suggest increased market efficiency, since all

    information is incorporated into prices immediately. Next, using a procedure inspired by

    Bessembinder and Sequin (1992), it is found that after the introduction of futures trading,

    one is unable to pick up any link between the volume of futures contracts traded and the

    volatility in the spot market.

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    RESEARCH METHODOLOGY

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    RESEARCH PROBLEM STATEMENT

    In the last decade, many emerging and transition economies have started introducing thederivatives contracts. As was the case when commodity trading were first introduced on

    Chicago Board of Trading in 1865, policymakers and regulators were worried about

    impact of future on the underlying cash market. One of the reason for this concern was

    futures trading attracts speculators who then destabilize the spot market. In India too,

    Index Futures were introduced during June 2000 with the purpose of offering the

    investors a hedging tool to minimize their risk aroused mixed feeling amongst the

    inventors. The general belief was, after the introduction of Index Futures the market has

    become more volatile. Implying there is more return at the cost of more risk. The purpose

    of this study is to test whether the market volatility has increased significantly after the

    introduction of Index Futures.

    SCOPE OF THE STUDY

    The limited scope of the study is to find out: Whether the introduction of stock index

    futures reduces stock market volatility. The Study does not intend to find out whether

    changes of any other international markets affected the market during the same period.

    3.1 METHODOLOGY

    3.1.1 OBJECTIVEThe objective of this study is to test, whether the introduction of Index Futures has had

    any impact on the volatility of Indian stock market.

    3.1.2 DATA3.1.2.1 Nature of data

    The nature of the data for the above study will be a time series secondary data showing

    heteroskedastic nature.

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    3.2.2.2 Sources of data The data employed in the study consists of daily prices of the S@P CNX Nifty Index,

    NSE 500 for the period June 1, 1995 to May 2005. The prices used are daily open and

    close prices. These data will be collected from National Stock Exchange website.

    3.2.2.3 Data Period The period of data is from June 1, 1995 to May 31, 2005.

    HYPOTHESIS OF STUDY

    H0 : Introduction of Index Futures has no impact on the volatility of Spot Market.H1 : Introduction of Index Futures has an impact on the volatility of Spot Market.

    STATISTICAL PROCEDURE

    3.3.1 The first objective is to find out whether the data is stationary or non stationary?

    This is tested by using Unit Root test.

    3.3.2 The second objective is to test the hypothesis by F-test..

    CALCULATION OF VOLATILITY:

    As this volatility is calculated using historical prices this is called Historical volatility

    We have used the daily stock market data from June 1995 to May 2005. We have

    calculated daily returns using the following equation:

    Rt = LN(Pt/Pt-1)*100 Where Rt is the daily return, Pt is the value of the security on day t and Pt-1 is the value

    of the security on day t-1 .

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    We have calculated the standard deviation of returns using the following methods:

    N _ 2 = (Rt-R)^2 /(N-1)

    t =1

    where R is the average return over the period.

    TEST FOR STATIONARITY:

    STATIONARY STOCHASTIC PROCESS:A random or stochastic process is a collection of random variables ordered in time. A

    stochastic process is said to be stationary if its mean and variance are constant over timeand the value of the covariance between the two time periods depends only on the

    distance or gap or lag between the two time periods and the actual time at which the

    covariance is computed.

    NON STATIONARY STOCHASTIC PROCESS:A stochastic process is said to be non stationary if its mean and variance change over

    time. An example for non stationary is random walk model.

    There are two types of random walk:Random walk without drift

    Random with drift

    UNIT ROOT TEST:A test of stationarity (or nonstationarity) that is well known is the UNIT ROOT TEST.

    The starting point of unit root test is

    Y t=Y (t-1) +Ut

    Where,

    Ut =white noise term.

    Yt = random variable at discrete time interval t.

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    If =1, then the unit root exist. That is: the time series under consideration is

    Non-stationary or follows a random walk.

    If ! = 1, then unit root does not exist. That is: the time series under consideration is

    stationary.

    Theoretically, value can be calculated by regressing Yt with one period lag values.

    AUGMENTED DICKEY FULLER (ADF) TEST:

    ADF Test is used for calculating , where = -1.Hypothesis:

    H0= Time series is non stationary.

    If = 0.(unit root)H1= Time series is stationary.

    If ! =0.

    Decision Rule:

    1) If T*>ADF critical value, not reject the null hypothesis i.e., unit root exists.

    2) If T*

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    3.3 STATISTICAL SOFTTWARE PACKAGES USED

    E views

    This software has been used to conduct the Augmented Dickey Fuller Unit root.

    Limitations of the study

    1. The results may not give accurate picture as there could be many other factors which

    influence the volatility of Market Index.

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    DATA ANALYSIS &

    INTERPRETATION

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    EMPIRICAL RESULTS

    Daily closing prices for S & P CNX Nifty were obtained from www.nseindia.com over

    the period 1 st May 1995 to 30 th June 2005. The data comprises 1240 observations relatedto the period prior to the introduction of futures trading and the remaining 1281

    observations to the period after the introduction of futures trading. Continuously

    compounded percentage returns are estimated as the log price relative. That is for an

    index with daily closing price P t, its return R t is defined as log (P t/P t-1). All the return

    series (before and after introduction period) are subjected to Augmented Dickey Fuller

    test.

    Fig 1and Fig 2 plots the returns of Nifty daily closing price, Fig 3 and Fig 4 plot

    the log data of the returns showing the phenomenon of volatility clustering and Fig 5

    plots the log price difference indicating price change volatility. The study of these graphs

    provides an initial view of volatility for NSE Nifty indices. It can be observed from the

    graph that the pre-futures NSE Nifty volatility is greater than that of post-futures. This

    broadly suggests that the introduction of index futures has not destabilized the spot

    market. However, inferences cannot be drawn from these figures alone, as they are not

    supported by any statistical data.

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    GRAPHICAL EVIDENCE

    GRAPH OF CLOSING PRICES

    GRAPH SHOWING MOVEMENT OF NIFTY DAILY CLOSING

    PRICES

    0

    500

    1000

    1500

    2000

    1 101 201 301 401 501 601 701 801 901 1001 1101 1201

    NO. OF OBSERVATIONS

    CLOSING PRICES

    (BEFORE INTRODUCTION PERIOD)

    GRAPH SHOWING MOVEMENT OF NIFTY DAILY CLOSING

    PRICES

    0

    500

    1000

    1500

    2000

    2500

    1 105 209 313 417 521 625 729 833 937 1041 1145 1249

    NO. OF OBSERVATIONS

    CLOSING PRICE

    (AFTER INTROCDUTION PERIOD)

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    GRAPH OF LOG PRICE DATA

    GRAPH OF LOG PRICE DATA

    -10

    -5

    0

    5

    10

    15

    1 99 197 295 393 491 589 687 785 883 981 1079 1177

    NO. OF OBSERVATIONS

    LOG PRICE

    (BEFORE INTRODUCTION PERIOD)

    GRAPH OF LOG PRICE DATA

    -15

    -10

    -5

    0

    5

    10

    1 102 203 304 405 506 607 708 809 910 1011 1112 1213

    NO. OF OBSERVATIONS

    LOG PRICE

    (AFTER INTROCDUTION PERIOD)

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    GRAPH OF LOG PRICE DIFFERENCE

    GRAPH OF LOG PRICE DIFFERENCE

    -15

    -10

    -5

    0

    5

    10

    1 102 203 304 405 506 607 708 809 910 1011 1112 1213

    NO. OF OBSERVATIONS

    LO

    G PRICE DIFFEREN

    CE

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    STATISTICAL PROCEDURE

    UNIT ROOT TEST

    Before Introduction of Futures

    ADF Test Statistic -15.259 1% Level of significance -3.4395% Level of significance -2.864310% Level of significance -2.5683

    The computed AUGMENTED DICKEY FULLER test-statistic( -15.259) at 4 lag, issmaller than the critical values -3.439at 1% level, -2.8643at 2% level, and -2.5683at 10% level. It doesn t have unit root problem, the data is stationary. It is clear that it haspassed the Durbin-Watson test and we can trust the regression result. Hence data is

    stationary.

    After Introduction of Futures

    ADF Test Statistic -14.2496 1% Level of significance -3.43845% Level of significance -2.864310% Level of significance -2.5683

    The computed AUGMENTED DICKEY FULLER test-statistic( -14.2496)at 4 lag, is smaller than the critical values -3.4384at 1% level, -2.8643at 2% level, and-2.5683at 10% level. It doesn t have unit root problem, the data is stationary. It is clearthat it has passed the Durbin-Watson test and we can trust the regression result. Hence

    data is stationary.

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    TEST FOR HETEROSKEDASTICITY

    One of the key assumptions of the ordinary regression model is that the errors have the

    same variance throughout the sample. This is also called the homoskedasticity model. If

    the error variance is not constant, the data are said to be heteroskedastic. Since ordinary

    least-squares regression assumes constant error variance, heteroskedasticity causes the

    OLS estimates to be inefficient. In the past, studies of volatility have used constructed

    volatility measures like estimated standard deviations, rolling standard deviations, etc, to

    discern the effect of futures introduction. These studies implicitly assume that price

    changes in spot markets are serially uncorrelated and homoskedastic. However, findings

    of heteroskedasticity in stock returns are well documented. Performing aDESCRIPTIVE ANALYSIS on the daily stock returns of both S&P CNX Nifty proves

    the heteroskedastic nature of the above data. As seen below from the analysis we can

    conclude that the variance of before introduction period and after introduction period is

    different thus proving that the data considered is heteroskedastic .

    STATISTICAL EVIDENCES

    Further to prove the heteroskedastic nature of the stock returns statistically, F-TEST is

    carried out. The F is named in the honour of the great statistician R.A. Fisher. The object

    of the F- test is to find out whether the two independent estimates of population variance

    differ significantly , or whether the two samples may be regarded as drawn from normal

    populations having the same variances.

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    before intro std. dev after intro std. dev F-Test

    Jun-95Jul-95

    Aug-95Sep-95Oct-95Nov-95Dec-95Jan-96Feb-96Mar-96Apr-96

    May-96Jun-96Jul-96

    Aug-96Sep-96Oct-96Nov-96Dec-96Jan-97Feb-97Mar-97Apr-97

    May-97Jun-97Jul-97

    Aug-97Sep-97Oct-97Nov-97Dec-97Jan-98Feb-98Mar-98Apr-98

    May-98Jun-98Jul-98

    Aug-98Sep-98Oct-98Nov-98Dec-98Jan-99

    0.75391.14580.79790.66530.75361.35581.04580.99422.59841.28741.6562

    1.51591.06191.54071.06991.08431.76521.30291.79482.06011.20352.48591.6354

    0.84840.86051.40241.55520.95513.10101.70731.40001.53291.00511.46431.5708

    1.38683.12201.88151.57391.31011.85331.20661.49172.0643

    Jun-00Jul-00Aug-00Sep-00Oct-00Nov-00Dec-00Jan-01Feb-01Mar-01Apr-01

    May-01Jun-01Jul-01Aug-01Sep-01Oct-01Nov-01Dec-01Jan-02Feb-02Mar-02Apr-02

    May-02Jun-02Jul-02Aug-02Sep-02Oct-02Nov-02Dec-02Jan-03Feb-03Mar-03Apr-03

    May-03Jun-03Jul-03Aug-03Sep-03Oct-03Nov-03Dec-03Jan-04

    1.39261.76491.08202.00751.61311.40041.45491.20991.59942.97102.2899

    0.89451.25691.03360.54922.62721.22201.20211.24971.00621.52670.91981.1128

    1.35431.13550.98630.86440.73410.84580.69210.92470.79730.86791.12641.3978

    0.76310.95801.06361.55071.83701.56061.16130.88712.1929

    3.41172.37261.83909.10554.58181.06691.93541.48080.37895.32611.9116

    0.34821.40100.45010.26355.87080.47920.85130.48490.23861.60910.13690.4630

    2.54781.74120.49460.30890.59080.07440.16430.43620.27050.74560.59180.7919

    0.30270.09420.31950.97071.96600.70900.92630.35361.1285

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    Feb-99Mar-99Apr-99

    May-99Jun-99Jul-99

    Aug-99Sep-99Oct-99Nov-99Dec-99Jan-00Feb-00Mar-00Apr-00

    May-00

    1.73331.39293.35152.19021.35931.60191.34561.33322.09061.36631.45001.94831.89441.82773.60742.4301

    Feb-04Mar-04Apr-04May-04Jun-04Jul-04Aug-04Sep-04Oct-04Nov-04Dec-04Jan-05Feb-05Mar-05Apr-05May-05

    1.64801.36271.30144.42851.45081.26351.01190.84770.91940.69830.75701.66720.79721.09681.18200.6854

    0.90410.95720.15084.08841.13930.62210.56550.40430.19340.26120.27250.73230.17710.36010.10740.0796

    Interpretation :

    If F-Test value is below 1.53 tabulated value = Significant

    If F-Test value is above 1.53 tabulated value = Non-significant

    Even though Average variation seems to reduce statistically, it is not showing a

    significant difference. Out of 60 pairs of tested observations 46 are not significant and 14

    are highly significant from June 1995 to May 2005.

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    CONCLUSION

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    Volatility of Spot Index in the pre-futures & post-futures period.

    A comparison of Nifty volatility as measured by standard deviation shows that the

    volatility in the post-futures period has not changed much but there is a declining trend in

    volatility after the introduction of futures volatility, although statistically there is no

    significant difference between the volatility before and after introduction of futures.

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    BIBLIOGRAPHY

    REFERNCE BOOKS

    Investment Analysis & Portfolio Management Prasanna Chandra.l

    WEBSITES

    www.nseindia.com

    www.finance.yahoo.com

    www.google.com

    www.investorpedia.com

    REFERNCE ARTICLES

    Behaviour of stock market volatility after derivatives - golaka c nath

    Do futures and options trading increase stock market volatility?

    Dr. premalata shenbagaraman

    Effect of introduction of index futures on stock market volatility: the indian

    evidence - o.p. gupta