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    International financial

    Management

    Harisha.B.V.AIP(finance & control)IIMB

    HARISHA.B.V.

    AIP(FINANCE AND CONTROL)

    IIM BANGALORE

    MODULE 2

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    Module 2

    Foreign exchange markets-

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    unc ons Participants

    Currency derivatives

    interest rate futures

    Speculations.

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    Foreign exchange markets

    The foreign exchange market is that in whichcurrencies are bought and sold against each other.

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    The bulk of this is accounted for a small number

    of currencies US dollar,deutsche mark, yen,

    pound ,Swiss franc, Canadian dollar,Dutch

    guider,Italian lira,Belgian franc,euro.

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    Over the counter market

    Foreign exchange market is an over the countermarket.

    The market s ans all the time zones of the world

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    and function virtually round the clock,enabling atrader to offset a position created in one market

    using another market.

    The major ones are London, New York,Tokyo,Zurich,Frankfurt,Hong Kong, and

    Singapore.

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    Structure of foreign exchange

    market

    It is made up of

    Retail market-travellers and tourists and other

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    individuals uses this market.the total turnover andaverage size are very small.

    Wholesale market- this is interbankmarket.commercial banks,investmentbanks,corporations and central bank participate.theaverage transaction and size is very large.

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    Primary price markers and

    secondary price makers

    Primary price makers or professional dealers make

    a two way market to each other and to theirclients.they will give a two way price .They makethe prices.

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    First tier consists of a giant MNB deal in a largenumber currencies in large amounts and often dealdirectly with each other without using brokers.

    The second tier are large banks who deal in asmaller number of currencies and use the services

    of brokers more often.

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    Secondary price makers

    Secondary price makers are entities whichmake foreign exchange prices but do not

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    MARKET).

    Restaurants , hotels, shops catering to

    tourists buy foreign currency in payment ofbills.

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    Other important points

    The spread between buying and selling prices with

    secondary price makers or retail market will be

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    price makers.

    Foreign exchange brokers act as middle menbetween two market makers. The brokers do not

    buy or sell on their own account.

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    Role o central banks

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    Central banks intervene in the market from

    time to time to attempt to move exchange

    rates in a particular direction.

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    Contribution of volume

    Cross border exchanges of goods and servicesaccount for a very small proportion .

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    The large volume will be from capital account .

    As banks usually aim to maintain square or near

    square positions, a lot of turnover is simple

    attributable to banks offsetting their positions.

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    speculators

    There is no distinct class of speculators inthe foreign exchange market.

    Price makin banks often carr uncovered

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    positions to profit from exchange ratemovements.

    A non financial corporations which does not

    hedge its foreign currency export receivableor import payable is as much a speculator.

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    The mechanics of currency

    trading

    The international standard organization has developed three lettercodes.

    USD-US DOLLAR

    GBP-GREAT BRITAIN POUND

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    -

    CHF-SWISS FRANC

    SEK-SWEDISH KRONER

    CAD-CANADIAN DOLLAR

    BEF-BELGIAN FRANC

    NLG-DUTCH GUIDER

    DEM-DEUTSCHE MARK

    SAR-SAUDI RIYAL

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    Inter bank dealing

    A typical spot transaction

    Monday 21 sep 10.45 a.m.

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    an : p ease Bank B: 40-45

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    Bank B is specifying a two way price, it isquoting last two digits.

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    The actual price will be 0.8740/0.8745

    The last two digits are called points or pips.

    Then bank A says mine(willing to buy)

    If it wants to sell then it might have said yours

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    Warehousing deal and Back to

    Back dealing

    When Bank B gives the quote which isbased on information about the currentmarket it is called as warehousing deal.

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    When B calls C and gets the quote and thengives to A .If A does a deal, B will

    immediately offset it with C.this is back toback dealing.

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    Short and long positions

    If any bank has sold more then what it has

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    bought it is said to have a net short position. If any bank has bought more then what it

    has sold it is said to have a net long

    position.

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    SWIFT

    Society for World wide Interbank FinancialTelecommunication.

    This is non rofit Bel ian co o erative with main

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    and regional centers around the world connectedby data transmission lines.

    When bank deals through brokers,they transmit

    their buy and sell orders to a broker who showsthem to the market without revealing the identities

    of the parties.

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    Types of transactions

    The day on which transfers are effected iscalled the settlement date or the value date.

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    are

    Spot

    Forward Swap.( a combination of spot and forward)

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    Value dates or settlement dates

    Spot transaction is normally T+2 days. Forward contract maturities are normally 1 ,

    2 3 6 9 12 months.

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    Swap transaction

    If a bank A purchases USD from Bank Bspot,and simultaneously enter into forwardtransaction with the same counter party tosell USD after 1 month.

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    Outright forward and

    forward forward swap

    Forward contracts without anaccompanying spot deal are known as

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    .

    A one month forward purchase of USD

    against GBP coupled with three monthsForward sale of USD against GBP isforward forward swap.

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    Exchange rate quotations and

    arbitrage

    Quotation will be given either on

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    units of a currency per US dollar.exampleINR 45/ USD

    American terms(quotes given as number ofUS dollars per unit of currency.exampleUSD 1.6525/ GBP)

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    Direct and indirect quotes

    Direct quotes- it give units of the homecurrency per unit of foreign

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    .

    Indirect quotes number of units of foreign

    currency per unit of the homecurrency.example USD 2.051010/ INR 100

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    Bid ask spreads

    A bid is the price at which dealer will buyone currency for another currency.

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    currency for another currency

    The difference between bid and ask is called

    as spread which will the dealers margin.

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    Example

    USD/CHF spot: 1.4550/ 1.4560

    Dealer will bu at 1.4550

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    Dealer will sell at 1.4560

    Spread = 1.4560-1.4550

    Percentage spread =

    (1.4560-1.4550)/1.4560* 100

    Quotations are generally shortened to 1.4550/60

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    Arbitrage

    Arbitrage in finance refers to a set oftransactions, selling and buying or lending

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    groups of assets ,to profit from pricediscrepancies within a market or across

    markets.

    Equivalent here means having identical cash

    flows and risk characteristics.

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    Arbitraging between banks

    Though the term market rate is used there isno one single market rate among all the

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    .

    The rate will be close to each other .

    Obviously such a situation gives rise to

    arbitrage opportunity.

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    Example

    Bank A is quotingGBP/USD 1.4550/1.4560

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    Bank B is quoting

    GBP/USD 1.4538/1.4548

    Here there is a possibility of arbitrage

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    Example 2

    Bank A

    GBP/ USD 1.4550/1.4560

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    Bank BGBP/USD 1.4545/1.4555

    Here there is no arbitrage possibilities.

    What is its implications?

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    Inverse quotes and two point

    arbitrage

    BANK IN NEW YORKUSD/ AUD 1.8885/90( SPOT )

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    BANK IN ZURICH

    AUD/USD: 0.5275/0.5280(SPOT)

    IS THERE ANY ARBITRAGE?

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    CROSS RATES

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    that is derived from the exchange rates ofthose currencies with a third currency is

    known as a cross rate.

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    Example

    GBP/USD ; 1.6545/1.6552 EUR/USD: 1.3655/1.3665

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    WHAT IS GBP/EUR?

    GBP/EUR bid = (GBP/USD) bid * (USD/EUR)bid

    GBP/EUR ask = (GBP/USD) ask * (USD/EUR)ask

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    Triangular Arbitrage

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    GBP 1 = USD 1.96 IN NEW YORKGBP 0.2 = 1 DEM IN LONDON

    2.5 DEM = USD 1 IN FRANKFURT.

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    COVERED INTEREST RATE

    ARBITRAGE

    Spot Rate 50 Rs = 1$ Interest rate in India 8%

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    n eres ra e n s . One year forward rate is 48 RS.

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    Golden rule

    If the interest rate differential is greater than

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    e prem um or scoun . p ace e moneyin the currency that has higher rate of

    interest or vice versa.

    Interest rate differential = differencebetween two countries.

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    Forward premium or discount

    (Forward rate spot rate) / spot rate * 100 * 12/N

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    Example

    Spot rate RS 42.0010 = $ 1 6 month forward rate : RS 42.8020

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    rupee=12% Annualized interest rate on 6 month dollar =

    8%

    Calculate the arbitrage possibilitiesassuming 1000 $ as investment.

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    Swap markets exchange rate

    determination

    A typical swap quotations appears asfollows

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    .

    1- MONTH SWAP 15/8

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    PROBLEM

    USD/INR SPOT 48.75/80 2 MONTH SWAP 12/20

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    . .

    2 MONTH SWAP 20/15

    FIND INR/JPY 2 MONTH OUTRIGHT

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    Derivatives

    A derivative is a two party contract whose value isderived from the value of an underlying asset.

    The underl in asset ma be Index, stock,

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    currency, interest rate, commodity. In finance derivatives means a financial product

    which has been derived from a market .

    It has no independent existence.

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    Types of derivatives

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    Futures (Forwards)

    Options

    Swaps ?

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    MARKET CREATED PRODUCTS

    USED FOR HEDGING THE PRICE VARIATION RISK

    Often investors split the risk of underlying position intoseveral components and manage the risk which they dontwant to have through derivatives

    Derivatives products

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    TWO TYPES OF DERIVATIVE PRODUCTS

    PRODUCTS WHICH ENSURE A FIXED PRICE(FUTURES)

    PRODUCTS WHICH ELIMINATES DOWNSIDE RISKOF THE PRICE (OPTIONS)

    DERIVATIVE PRODUCTS EXIST ON BOTHCOMMODITY AND FINANCIAL PRODUCTS

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    Exchange-traded futures and options

    standardized products

    trading floor or computerized trading

    virtuall no credit risk

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    Over-the-Counter forwards, options, & swaps

    often non-standard (customized) products

    telephone (dealer) marketsome credit risk

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    Uses of Derivatives

    To hedge or insure risks; i.e., shift risk. To reflect a view on the future direction of themarket, i.e., to s eculate.

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    To lock in an arbitrage profit To change the nature of an asset or liability. To change the nature of an investment without

    incurring the costs of selling one portfolio andbuying another.

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    Currency future

    At a glance a currency future like a forwardcontract is a contract for future delivery.

    A currenc future is the rice of a articular

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    currency for settlement at a specified future date. The two popular future exchanges are the

    Singapore international Monetary Exchange

    (SIMEX) and International Money Market(Chicago, IMM).

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    PRODUCTS TRADED IN FUTURES EXCHANGESPRODUCTS TRADED IN FUTURES EXCHANGES

    (FINANCIAL PRODUCTS)(FINANCIAL PRODUCTS)

    CURRENCY: AUSTRALIAN DOLLAR, POUND,

    DEUTSCHEMARK, FINNISH CURRENCY, FRENCH

    FRANC, JAPANESE YEN, NZ DOLLAR, SWISS FRANC,

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    CROSS-CURRENCY RATE, CURRENCY INDEXINTEREST RATE: T.BILL, BONDS, EURODOLLAR,

    BOND INDICES

    STOCK INDEX & EQUITY CONTRACTS

    MISCELLANEOUS PRODUCTS

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    Features of futures contract

    Futures are traded on organized exchanges.

    Clearing houseFutures are traded through brokers.

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    The contracts are standardized.

    margins

    Marking to market

    Actual delivery is rare

    S t f M i

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    System of MarginsInitial margin : When position is opened

    Variation Margin: Settlement of daily gains and losses

    Maintenance Margin : Minimum balance in margin account.

    Balance falls below this, margin call issued. If not met,position liquidated.

    Regulators specify minimum margins between clearing

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    members and clearinghouse. Margins at other levelsnegotiated

    Margins can be deposited in cash or specified securities such

    as T-bills. Interest on securities continues to accrue to owner.

    Margin is a performance bond.

    Levels of margins may be changed if volatility increases.

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    System of Margins

    With clearing house guarantee, buyer-seller need notworry about each others creditworthiness.

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    liquidity.

    Protects clearing house; enhances financial

    integrity of the exchange. Credit risk issues

    almost eliminated

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    Futures and Forwards: A Comparison Table

    Default Risk: Borne by Clearinghouse Borne by Counter-Parties

    What to Trade: Standardized Negotiable

    The Forward/Futures Agreed on at Time Agreed on at TimePrice of Trade Then, of Trade. Payment at

    Marked-to-Market Contract Termination

    Futures Forwards

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    When to Trade: Standardized Negotiable

    Liquidity Risk: Clearinghouse Makes it Cannot Exit as Easily:

    Easy to Exit Commitment Must Make an Entire

    New Contrtact

    How Much to Trade: Standardized Negotiable

    What Type to Trade: Standardized Negotiable

    Margin Required Collateral is negotiable

    Typical Holding Pd. Offset prior to delivery Delivery takes place

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    Theoretical Futures Price

    Let C denote the present value of carrying costs, St the

    s ot rice, r the interest rate, and FU the futures rice

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    ,

    for delivery at T, Then theoretical futures price is givenby

    FUt,T = (St + C)[1 + r(T-t)]

    F t d F d

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    Futures and Forwards on

    Currencies

    A foreign currency isanalogous to a security

    providing a dividend yield

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    yield is the foreign risk-free interest rate

    It follows that if rf is the

    foreign risk-free interest

    rate F S e r r T

    f0 0=

    ( )

    F Ser r Tf0 0=( )

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    In practice futures price does not exactly equaltheoretical futures price. Reasons:

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    ,

    2 In some cases, restrictions on short sales (Does not

    apply to currency futures)

    3 Non-constant interest rates

    4 Mark-to-market gains/losses.

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    Hedging with futures/forwards typically involves taking a position in a futuresmarket that is opposite the position already held in a cash market.

    A Short (or selling) Hedge: Occurs when a firm holds a long cash position andthen sells futures/forward contracts for protection against downward price exposurein the cash market.

    Hedging Fundamentals

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    A Long (or buying) Hedge: Occurs when a firm holds a short cash position andthen buys futures/forward contracts for protection against upward price exposure inthe cash market. Also known as an anticipatory hedge.

    A Cross Hedge: Occurs when the asset underlying the futures/forward contractdiffers from the product in the cash position.

    Firms can hold long and short hedges simultaneously (but for different price risks).

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    Options Terminology

    The two parties to an option contract are theoption buyerand the option seller also calledoption writer

    Call Option: A call option gives the optionbuyer the right to purchase a currency Y against

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    a currency X at a stated price Y/X, on or beforea stated date.

    Put Option: A put option gives the option buyerthe right to sell a currency Y against a currencyX at a specified price on or before a specifieddate

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    Options Contracts: PreliminariesAn option gives the holder the right, but not the obligation,

    to buy or sell a given quantity of an asset in the future, at

    prices agreed upon today.

    Calls vs. Puts

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    Call options gives the holder the right, but not theobligation, to buy a given quantity of some asset at sometime in the future, at prices agreed upon today.

    Put options gives the holder the right, but not theobligation, to sell a given quantity of some asset at sometime in the future, at prices agreed upon today.

    Options Terminology

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    Options Terminology

    A call option is said to be at-the-money ifCurrent Spot Price (St ) = Strike Price (X),

    in-the-money if St > X and out-of-the-money if

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    St< X

    A put option is said to be at-the-money if

    St = X, in-the-money if St < X and out-of-the-money if St > X

    In the money options have positive intrinsicvalue; at-the-money and out-of-the moneyoptions have zero intrinsic value.

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    Options Contracts: Preliminaries

    European vs. American options

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    European options can only be exercised on the

    expiration date.

    American options can be exercised at any time up

    to and including the expiration date.

    Since this option to exercise early generally has

    value, American options are usually worth more

    than European options, other things equal.

    A CALL OPTION

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    A trader buys a call option on US dollar with a strike price of

    Rs.46.50 and pays a premium of Rs.1.50. The current spot rate, St,

    is Rs.45.50. His gain/loss at time T when the option expires

    depends upon the value of the spot rate, ST, at that time :

    ST Gain(+)/Loss(-)44.5000 -Rs.1.50

    45.0000 -Rs.1.50

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    45.5000 -Rs.1.50

    46.0000 -Rs.1.50

    46.5000 -Rs.1.50

    47.0000 -Rs.1.00

    47.5000 -Rs.0.5048.0000 Rs.0.0048.5000 +Rs.0.5049.0000 +Rs.1.00

    49.5000 +Rs.1.50

    PUT OPTION

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    A trader buys a put option on pound sterling at a strike price of$1.7500, for a premium of $0.07 per sterling. The spot rate at the

    time is $1.7465. At expiry, his gains/losses are as follows :

    ST Gain(+)/Loss(-)1.6000 +$0.0800

    1.6300 +$0.0500

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    . .

    1.6600 +$0.02001.6800 $0.0000

    1.6900 -$0.0100

    1.7300 -$0.0500

    1.7500 -$0.0700

    1.7700 -$0.0700

    1.8000 -$0.0700

    Option Payoff

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    Option Payoff

    LONG CALL SHORTCALL

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    LONG PUT SHORT PUT

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    The BSOPM Formula

    dNSdNeKpdNeKdNSc

    rT

    rT

    =

    =

    102

    210

    )()()()(

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    where N(di) = the cumulative standard normal distributionfunction, evaluated at d

    i, and:

    TdT

    TrKS

    d

    T

    TrKSd

    =

    +

    =

    ++

    =

    1

    0

    2

    01

    )2/2()/ln(

    )2/()/ln(

    where

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    Black scholes

    C = S N(d1) - E e -rtN(d2)

    C = CALL VALUE

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    r = RISK-FREE RATE

    S = CURRENT MARKET PRICE

    t = TIME TO EXPIRATION

    E = EXERCISE PRICE

    N(d) = Cumulative normal probability density function d1 = {ln(S/E) + (r + 0.5 VAR) t} / {SD * SQRT(t)}

    d2 = d1 - {SD * SQRT(t)}

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    Computing Volatility

    Find the daily return of the stock over a period Rt = ln(Pt/Pt-1)

    Find the Standard Deviation of daily returns as computed in

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    the above step This is standard deviation of daily return

    To annualise the standard deviation of daily return,

    SD (daily return) * SQRT(250)

    where 250 refers to number of trading days in a year.

    Formulas for Currency Options

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    Formulas for Currency Options

    dNeSdNKep

    dNKedNeSc

    TrrT

    rTTr

    f

    f

    =

    =

    )()(

    )()(

    102

    210

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    T

    TfrrKSd

    Tf

    rr

    d

    +

    =

    ++

    =

    )2/2()/ln(

    n

    0

    2

    0

    1

    where

    Alternative Formulas

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    Alternative Formulas

    F S e r r Tf

    0 0=

    ( )

    UsingdKNdNFec rT = 210 )]()([

    Harisha.B.V.AIP(finance & control)IIMB

    TddT

    TKFd

    dNFdKNep rT

    =

    +=

    =

    12

    2

    01

    102

    2/)/ln(

    )]()([

    Elementary Option Strategies

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    Elementary Option Strategies

    Spread Strategies

    Bullish Call Spread: Consists of selling the call with the higherstrike price and buying the call with the lower strike price

    Bearish Call spread: If the investor expects the foreign currencyto depreciate, he can adopt the reverse strategy viz. buy the

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    Bullish Put Spread: Consists of selling puts with higher strikeand buying puts with lower strike

    Bearish Put Spread: Opposite of Bullish Put Spread

    These strategies, involving options with same maturity butdifferent strike prices are called vertical or price spreads

    Bull Spread Using Calls

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    ull Sp ead Using Calls

    Profit

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    K1 K2

    ST

    Bull Spread Using Puts

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    p g

    Profit

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    K1 K2 ST

    Butterfly Spreads

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    Butterfly Spreads

    This is an extension of the idea of vertical spreads. Suppose

    the current spot rate NZD/USD is 0.6000. The call options with

    same expiry date are available :

    Strike Premium

    0.58 0.07

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    0.62 0.03

    0.66 0.01

    A butterfly spread is boughtby buying two calls with the

    middle strike price of 0.62, and writing one call each with strikeprices on either side, here, 0.58 and 0.66. The profit table is as

    below :

    Butterfly Spread Using Calls

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    f y p g

    Profit

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    K1 K3 STK2

    Butterfly Spread Using Puts

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    f y p g

    Profit

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    K1 K3 STK2

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    Elementary Option StrategiesStraddles and Strangles Volatility Bets

    A long straddle consists of buying a call and a putboth with identical strikes and maturity. Usually bothare at-the-money.

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    A long strangle consists of buying an out-of-the-money call and an out-of-the-money put

    Both are bets that the underlying price is going to

    make a strong move up or down I.e. market is goingto be more volatile.

    Delta

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    Theta.

    Delta

    Delta (D) is the rate of change of the option price with

    respect to the underlying

    Theta of a derivative or ortfolio of

    derivatives) is the rate of change of the value withrespect to the passage of time

    The theta of a call or put is usually negative. This

    means that, if time passes with the price of theunderlying asset and its volatility remaining the

    same, the value of the option declines

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    Gamma

    Gamma () is the rate of change of delta ()

    with respect to the price of the underlying

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    asset

    Gamma is greatest for options that are close

    to the money

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    Vega

    Vega () is the rate of change of the value

    of a derivatives portfolio with respect tovolatility

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    Vega tends to be greatest for options that

    are close to the money

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    Rho

    Rho is the rate of change of thevalue of a derivative with respect to

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    For currency options there are 2

    rhos

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    Forward Rate Agreements (FRAs)

    A FRA is a forward contract on an interest rate (not on abond, or a loan).

    The buyer of a FRA profits from an increase in interest

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    . .

    The buyer effectivelyhas agreed to borrow an amount ofmoney in the future at the stated forward (contract) rate. Theseller has effectively locked in a lending rate.

    FRAs are cash settled.

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    Forward Rate Agreements (FRAs)

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    Only the difference in interest rates is paid. The principal

    is not exchanged.

    FRAs are cash settled.

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    An Example of an FRA

    A firm sells a 5X8 FRA, with a NP of $300MM, and acontract rate of 5.8% (3-mo. forward LIBOR).

    On the settlement date (five months hence), 3 mo.

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    spo s . .

    There are 91 days in the contract period (8-5=3months), and a year is defined to be 360 days.

    Five months hence, the firm receives:

    Source- debousfky

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    FRA Example (continued)

    $524,077.11, which is calculated as:

    -

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    =

    , , . .

    1+[(0.051)(91/360)]

    , , . - .

    1+[(0.051)(91/360)](300,000,000)(0.058-0.051)(91/360)

    1+[(0.051)(91/360)]300000000*(.058-.051)(91/360)

    1+(.051*91/360)