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    Introduction To Derivatives

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    Der i v a t i v e s

    Some say the world will end in fire Some say in ice

    Fire and Ice Poem by Robert Frost (1874

    1963)

    This is what the Derivative world is.

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    Contents

    Introduction to Derivatives

    Derivatives in India

    Basic purpose of derivatives

    Application of Derivatives for Risk Management & Speculation (Leveraging)

    Basic Terms

    Properties of

    Forwards Futures

    Options

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    What is Derivatives? A derivative can be defined as a financial instrument whose value

    depends on (or derives from) the values of other, more basic underlying

    variables. -John C. Hull

    Aderivative is simply a financial instrument (or even more simply an

    agreement between two people) which has a value determined by the

    price of something else. -Robert L. McDonald

    The Securities Contracts (Regulation) Act, 1956 defines "derivatives" to

    include:

    1. A security derived from a debt instrument, share, loan whether securedor unsecured, risk instrument, or contract for differences or any other

    form of security.

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

    of underlying securities.

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    Derivatives in India In India, derivatives markets have been functioning since the

    nineteenth century with organized trading in cotton through

    the establishment of the Cotton Trade Association in 1875.

    Derivatives, as exchange traded financial instruments were

    introduced in India in June 2000. (Nifty 50 index futures

    contract)

    First to be traded were futures contract on Index.

    After this came, options on individual securities and index

    Futures contract on individual stocks were launched in

    November,2001

    In 1999, the Securities Contracts (Regulation) Act of 1956, or

    SC(R)A, was amended so that derivatives could be declared

    as securities.

    The Act considers derivatives on equities to be legal andvalid, but only if they are traded on exchanges.

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    Milestones in the development of

    Indian derivative market November 18, 1996 L.C. Gupta Committee set up to draft a policy

    framework for introducing derivatives

    May 11, 1998 L.C. Gupta committee submits its report

    on the policy framework

    May 25, 2000 SEBI allows exchanges to trade in index

    futures

    June 12, 2000 Trading on Nifty futures commences on

    the NSE

    June 4, 2001 Trading for Nifty options commences on the

    NSE July 2, 2001 Trading on Stock options commences on the

    NSE

    November 9, 2001 Trading on Stock futures commences on the

    NSE

    August 29, 2008 Currency derivatives trading commences on theNSE

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    Derivatives Markets

    Exchange Traded Contracts

    Over The Counter Market

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    Market Participants

    Hedger

    Hedgers face risk associated with the price of an asset. They

    use futures or options markets to reduce or eliminate this risk

    Speculators

    Speculators wish to bet on future movements in the price of an

    asset. Derivatives can give them an extra leverage to enhance

    their returns

    Arbitrageurs

    Arbitragers work at making profits by taking advantage of

    discrepancy between prices of the same product across

    different markets

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    Basic purpose of derivatives In derivatives transactions, one partys loss is always

    another partys gain.

    The main purpose of derivatives is to transfer risk

    from one person or firm to another, that is, to provide

    insurance. If a farmer before planting can guarantee a certain

    price he will receive, he is more likely to plant

    Derivatives improve overall performance of the

    economy Thus, the basic purpose of derivatives is to transfer

    the price risk (inherent in fluctuations of the asset

    prices) from one party to another; they facilitate the

    allocation of risk to those who are willing to take it.

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    Example of Derivatives

    a reimbursement program for college credit.Consider that if your firm reimburses 100% of

    costs for an A, 75% of costs for a B, 50% for a

    C and 0% for anything less.

    Your right to claim this reimbursement, then is

    tied to the grade you earn. The value of that

    reimbursement plan, therefore, is derived from

    the grade you earn.

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    Applications of Derivatives

    Derivatives are used by investors for the following:

    1. Provide leverage (or gearing), such that a small movement

    in the underlying value can cause a large difference in the

    value of the derivative2. Speculate and make a profit if the value of the underlying asset moves the

    way they expect (e.g., moves in a given direction, stays in or out of a

    specified range, reaches a certain level)

    3. Hedge risk in the underlying, by entering into a derivative contract whose

    value moves in the opposite direction to their underlying position and

    cancels part or all of it out

    4. Obtain exposure to the underlying where it is not possible to trade in the

    underlying (e.g., weather derivatives)

    5. Create option ability where the value of the derivative is linked to a specificcondition or event e. . the underl in reachin a s ecific rice level

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    Types of Financial Derivative

    There is no definitive list of derivative productsand the types of derivative products that can be

    developed are limited by human imagination only.

    However the most common financial derivatives

    can be classified as

    1. Forwards

    2. Futures

    3. Options

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    Forwards

    A forward contract is an agreement between twoparties to buy or sell an asset at a certain future time

    for a certain future price.

    Features:

    These are bilateral contract These contracts are customized

    There is a counter party risk

    Forward contracts are normally not exchange traded.

    The party that agrees to buy the asset in the future is

    said to have the long position. The party that agrees to sell the asset in the future is said

    to have the short position.

    The specified future date for the exchange is known asthe delivery (maturity) date.

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    ForwardsAn example

    11thAugust 2013

    Mr. Tushar wants to buy 20 grm Gold, but his wife says

    he should buy Gold only on the occasion of Diwali (on

    11thNovember, 2013-Dhantreys)

    Worried about price fluctuations

    Jeweler thinks Prices of gold are very high currently

    and may not go up during this Diwali

    Worried about price fluctuations

    Current gold price is Rs. 29000 per 10 grm

    Both face a Price Risk

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    Transaction

    Mr. Tushar and Jeweler enter into a contract on11thAugust 2013

    Mr. Tushar Jeweler

    Will buy 20 grm. Gold Will sell 20 grm.

    goldWill Pay Rs. 30,000 per 10grm Will receive Rs.

    30,000 per 10grm

    Date of settlement : 11thNov, 2013

    This is a Forward contract,

    trade happens today, settlement in futureJewelers OBLIGATION is to give Gold and Mr.

    TusharsOBLIGATIONis to pay

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    ContractTerms :

    Underlying : Gold Contract Date : August 11, 2013

    Contract Price : Rs. 30,000 per 10 grm

    Quantity : 20 grm.

    Settlement date : November 11, 2013

    By entering into the contract on August 11, 2013what have the two parties done?

    Lo cked in a futu re price of Rs . 30,000/- per10grm.

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    Settlement

    On November 11, 2013 :

    Mr. Tushar buys 20 grm Gold from Jeweler

    Jeweler Recieves Rs. 60,000

    The contract entered on Aug 11, 2013 is settled. Price of Gold quoting in the spot market

    (underlying price) is Rs. 28000/- per 10 grm.

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    CashSettlement

    On Nov11, 2013 :

    Price of Gold quoting in the spot market (underlying price)

    is Rs. 28000/- per 10 grm.

    Who gains? By how much? Jeweler Rs. 2000 per 10 grm.

    Settlement :

    Loser pays to the Gainer the profit / loss

    Jeweler receives Rs. 4000 from Mr. Tushar

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    PayOff

    Pay Off = STK (for the long forward) - Buyer

    Pay Off = K ST(for the short forward) Seller

    Where,

    T = Time to expiry of the contract

    ST= Spot Price of the underlying asset at time T

    K = Strike Price or the price at which the asset will bebought/sold

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    Forward Contract Payoff

    K

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    Futures Futures were designed to solve the problems that existed in theforward markets

    Counter Party risk

    Liquidity

    A future is a forward contract that has been standardized andsold through an organized exchange

    Structure of a futures contract: Seller (has short position) is obligated to deliver the commodity or a

    financial instrument to the buyer (has long position) on a specificdate, this date is called settlement, or delivery date

    The long and short party usually do not deal with each otherdirectly or even know each other for that matter. Theexchange acts as a clearinghouse. As far as the two sidesare concerned they are entering into contracts with theexchange. In fact, the exchange guarantees performance of

    the contract regardless of whether the other party fails.

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    Futures terminology

    Spot price : Price at which asset trades in the spot market

    Futures : Price at which Futures contracts trade in the

    futures market

    Contract cycle : The period over which a contract trades

    Expiry Date : Last date of the contract

    Contract size : Amount or value of each contract

    Initial margin: Amount deposited initially to trade futures

    (by both buyer & seller)

    Cost of Carry: Relationship between futures and spot price is

    determined by cost of carry. For

    financial assets it is interest cost.

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    Contract Life Cycle- exampleFutures contracts in NIFTY on Feb 2012: Any given time upto 3

    months duration contracts.

    Contract Month Expiry/settlement date

    Feb 2012 25thFeb

    March 2012 25thMarch

    April 2012 29thApril

    *Expirylast Thursday of the month

    You are on Feb 10.You have a Near Month , Middle Month and Far Month c on tracts

    to choose from.

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    Steps in trading Futures

    Pay Initial Margin

    Buy or Sell Futures

    Daily Mark to Market Settlement

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    Initial Margin (IM)

    Stock (ABC Ltd.) Futures (ABC Ltd. Futures)

    Rs. 500 Rs. 510

    Buy 1000 shares Buy 1000 Futures

    Value = Rs. 5,00,000 Value = Rs. 5,10,000

    Pay Rs. 5,00,000 Pay IM = Rs. 51,000

    After 10 days :

    Rs. 600 Rs. 610

    RETURN = 20% RETURN = 196%

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    Pricing of Futures

    Futures price = Spot Price + Cost of carry

    Cost of carry = interest rate*

    At expiry : Futures price = Spot price

    *for financial futures

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    Pricing - Futures

    Feb 10, you have Rs. 100.

    How much will it become on March 10.

    Depends on how much interest you can earn

    If it is 12% p.a., then after 1 month Rs. 100 will become =

    Rs. 101

    F = S + Int.

    Rs. 101 = Rs. 100 + Re. 1

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    Points to remember.

    LongBuy (going long) [Bullish view]

    ShortSell (going short) [Bearish view]

    Squaring off (turn around trades) opposite

    transaction to the previous one

    Buy low, sell high- gives a profit

    Sell high, buy low- also gives a profit

    Sell low, buy highgives a loss Buy high, sell lowalso gives a loss

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    Daily Mark to Market SettlementFutures contracts

    Date

    Oct 1, 200811:00 am

    Spot Price of

    ABC Ltd. :

    Rs. 490

    Mr. Raju Buys

    ABC Ltd.

    Futures @

    Rs. 510

    MTM Gain

    / Loss

    Mr. Ajay Sells

    ABC Ltd.

    Futures @

    Rs. 510

    MTM Gain

    / Loss

    Remarks :

    Gainer receives

    MTM amount from

    the loser on a daily

    basis

    Oct 1, 2008

    3:30 pmRs. 500 Rs. 512 + Rs. 2 Rs. 512 - Rs. 2

    Ajay Pays Rs. 2 to

    Raju

    Oct 2, 2008

    3:30 pmRs. 510 Rs. 520 + Rs. 8 Rs. 520 - Rs. 8

    Ajay Pays Rs. 8 toRaju

    Oct 3, 2008

    3:30 pmRs. 495 Rs. 510 - Rs. 10 Rs. 510 + Rs. 10

    Raju Pays Rs. 10 to

    Ajay

    Oct 4, 2008

    3:30 pm Rs. 505 Rs. 515 + Rs. 5 Rs. 515 - Rs. 5

    Ajay Pays Rs. 5 to

    Raju

    Oct 5, 2008

    3:30 pmRs. 515 Rs. 525 +Rs. 10 Rs. 525 - Rs. 10

    Ajay Pays Rs. 10 to

    Raju

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    Futures Payoff

    A payoff is the likely profit or loss that wouldaccrue to a market participant with change in the

    price of the underlying asset

    Futures have a linear payoff, i.e. the losses as

    well as profits for the trader of futures contract are

    unlimited

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    Payoff diagram for futures

    P

    R

    O

    F

    I

    T

    S

    L

    O

    S

    S

    E

    S

    Rs. 2500 Rs. 500

    Buy RELIANCE

    FUTURES @ Rs. 250

    Rs. 300

    Sell @ Rs. 300

    Linear Pay Off

    Rs. 50

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    P

    R

    O

    F

    I

    T

    S

    L

    O

    S

    S

    E

    S

    Payoff diagram for futures

    Sell RELIANCE

    FUTURES @ Rs. 250

    Buy @ Rs. 200

    Linear Pay Off

    Rs. 250Rs. 200

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    Final Settlementconvergence of Futures to Spot

    Time

    (a)

    Futures

    Price

    Spot Price

    No Arbitrage Principle

    On the final settlement day/

    expiry day, the Futures

    contract is settled at the

    underlying closing price

    (spot price)

    Cash Settlement

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    DISTINCTIONS BETWEEN FUTURES

    & FORWARDS

    Forwards

    Traded in dispersed

    interbank market 24 hr a day.

    Lacks price transparency

    Transactions are customized

    and flexible to meet

    customers preferences.

    Futures

    Traded in centralized

    exchanges during specified

    trading hours. Exhibits price

    transparency.

    Transactions are highly

    standardized to promote

    trading and liquidity.

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    DISTINCTIONS BETWEEN FUTURES

    & FORWARDSForwards

    Counter party risk is variable

    No cash flows take placeuntil the final maturity of the

    contract.

    Futures

    Being one of the two parties,the clearing housestandardizes the counterpartyrisk of all contracts.

    On a daily basis, cash mayflow in or out of the marginaccount, which is marked tomarket.

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    Options

    Example :-

    TATA is launching a carNano

    Price is Rs. 1Lakh. [Purchase price]

    You can book the car by paying Rs. 20,000 [deposit] By booking the car, what have you bought?

    oA RIGHT to buy the car

    When booking matures, can TATA force you to buy

    Nano?

    o TATA has only OBLIGATION

    Can you force TATA to sell Nano?

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    Introduction to Options

    An options contract gives the buyer the

    right, but not the obligation to Buy or Sell a

    specified underlying at a set price on or

    before a specified date

    : eg. Car Purchase, Insurance

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    Options Terminology

    Index options

    Stock Options

    Option buyer

    Option seller

    Option premium Strike / Exercise price

    Expiry date: Its last Thursday of the month for

    options to be exercised/ traded. Options cease toexist after expiry

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    Options

    Calls give the buyer the right but not the obligationto buy.

    Puts give the buyer the right, but not the obligation

    to sell.

    CALL OPTIONS : Gives the buyer of the Call Option

    the RIGHT to buy at the STRIKE PRICE CALL OPTIONS: The Seller of the Call Option has to

    meet his OBLIGATION of selling when the buyer

    EXERCISES his right

    The Buyer retains the RIGHT to Exercise or notExercise

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    Call Option

    Exercise Point : U > SP

    Break Even point : U = SP + Premium

    Net profit : U > SP + Premium

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    Call Option

    December 15,

    Underlying Price Strike Price PremiumRs. 100 Rs. 80Rs. 30

    December 28,

    Underlying Price can be above, at or below Strike PriceRs. 112

    Rs. 80

    Rs. 75

    At which underlying price Buyer will exercise the Option ?

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    Certain Concepts - Options

    In the money- positive cash flow if

    exercised

    immediately

    At the money- zero cash flow if

    exercised immediately

    Out of the money- negative cash flow if

    exercised

    immediately

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    Call Option

    The Buyer of an Options needs to pay to theSeller the PRICE of the Option.

    This is called as the PREMIUM.

    It is paid immediately on buying the Option.

    The Seller receives the Premium on T+1 day.

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    Call Option

    Buyer : Unlimited Profits, Limited Losses

    Seller : Unlimited Losses, Limited Profits

    Buyer : Losses Limited to the premium (max. loss)

    Seller : Profits Limited to the premium

    (max. gain)

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    Classification of Options

    Type Call or Put

    Exercise style

    EUROPEAN is an option that can be exercised only

    on its expiration date

    AMERICAN is an option that can be exercised any

    time up until and including its expiration date

    Settlement Cash or physical

    CALLS & PUTS RIGHTS AND OBLIGATION

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    RIGHT

    CALLS Buyer Buy at the strike price at expiry

    OBLIGATION

    Seller Sell at the strike price at expiry

    RIGHT

    PUTS Buyer Sell at the strike price at expiry

    OBLIGATIONSeller Buy at the strike price at expiry

    CALLS & PUTSRIGHTS AND OBLIGATION

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    BUYER OF AN OPTION

    PAYS PREMIUM

    PREMIUM IS THE MAXIMUM LOSS THE BUYER CAN SUFFER

    SELLER OF AN OPTION

    RECEIVES PREMIUM

    PREMIUM IS THE MAXIMUM PROFIT THE SELLER CAN MAKE

    APPLICABLE FOR BOTH CALLS AND PUTS

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    Intrinsic value

    Priceof an option is called Premium

    Premium = Intrinsic value + time value

    Intrinsic value is the amount the contract is inthe moneye.g. Spot = 1000, Strike Price = 990 March CallPremium = Rs 15 (Intrinsic value = Rs. 10, time

    value = 5)

    O

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    Options Pricing

    Intrinsic Value (IV )

    Difference between spot and strike

    ITM has IV, ATM and OTM have zero IV

    Time Value ( TV )

    Difference between the premium and intrinsic value

    ITM have both IV and TV, ATM and OTM have only

    TVLonger the expiry more the TV, on expiry TV is 0

    Options Payoff

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    Options Payoff

    Optional characteristics of options results in a non

    linear payoff for options. Non linear payoffs provideflexibility to create combinations

    Losses of the buyer is limited to the premium paid and

    profits are unlimited

    For writers/sellers losses are unlimited and profitslimited to the premium received

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    Options Payoffs

    Payoff profile of buyer of asset: Long assetPayoff for investor who went Long Nifty at 2220

    Payoff profile for seller of asset:

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    Payoff profile for seller of asset:

    Short asset

    Payoff for investor who went Short Nifty at2220

    Payoff profile for buyer of call

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    Payoff profile for buyer of call

    options: Long call

    Payoff for the buyer of a three month calloption with a strike of 2250 bought at a

    premium of 86.60

    Payoff profile for writer of call

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    Payoff profile for writer of call

    options: Short call

    Payoff for the writer of a three month calloption with a strike of 2250 sold at a premium

    of 86.60.

    Payoff profile for buyer of put options:

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    Payoff profile for buyer of put options:

    Long put

    Payoff for the buyer of a three month putoption with a strike of 2250 bought at a

    premium of 61.70.

    Payoff profile for writer of put options:

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    Payoff profile for writer of put options:

    Short put

    Payoff for the writer of a three month putoption with a strike of 2250 sold at a premium

    of 61.70

    THE PAY OFF DIAG - OPTIONS

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    THE PAY OFF DIAG. OPTIONS

    PROFITS AND LOSSES ON CALLS AND PUTS

    SecurityACC

    100

    PROFITS

    CALLS

    LOSSES

    100

    LOSSES

    PROFITS

    PUTS

    20 120

    20

    80

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    Any Questions?

    Now we have some Questions.

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    Spot value of NIFTY is 2240. An investor buys a one

    Month NIFTY 2227 put option for a premium of Rs.17.The option is

    ________.

    Out of the money

    In the money

    At the money

    Above the money

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    A call option that is out-of-the-money or at-the-moneyhas ________.

    only time value only intrinsic

    value

    face value no value

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    A put option is in-the-money if the price of

    the underlying asset is __________ thestrike price.

    Above

    Below

    Equal to

    Between the premium and strike price

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    Spot value of NIFTY is 2230. An investor buys a one

    Month NIFTY 2245 call option for a premium of Rs.5.After One month the spot value of NIFTY is 2250. The

    Option is _________.

    In the money

    At the money

    Above the money

    Out of the money

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    An index put option at a strike of Rs.

    2176 is selling at a premium of Rs. 28.At what index level will it break even for

    the buyer of the option?

    Rs. 2148

    Rs. 2196

    Rs. 2204Rs. 2194

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    Thank You !!