Aplications Using Options

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    gricultural

    conomics Rpt No.

    200

    Commercial

    nd

    Producer

    Applications

    Using

    Options

    on

    rain

    Futures

    by

    John

    P Satrom

    Alfred K

    Chan

    William

    W Wilson

    Department

    of

    gricultural

    Economics

    gricultural

    Experiment

    Station

    North Dakota

    State

    University

    Fargo

    North Dakota

    581 5

    May

    198

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    i hli hts

    Trading

    of

    options on agricultural

    commodity futures began

    on

    an

    experimental basis in

    ctober 1984. This report

    provides

    a

    brief

    descrip-

    tion on use of

    options by

    merchants

    and

    producers. The

    advantage

    of using

    options is

    their ability to

    lock

    in a

    floor or ceiling

    price for the

    underlying

    future allowing the

    merchant

    or

    producer to

    take

    advantage

    of

    favorable

    price

    movements.

    To do so the he ger

    pays premium.

    n

    this

    sense

    options

    are analogous

    to price insurance whereby

    a

    premium is

    paid

    to

    protect against an

    adverse

    movement in

    prices.

    Options can be viewed

    as

    an innovation

    or new

    technology in he

    marketing system.

    They

    can

    be

    used for a

    multitude

    of purposes including

    hedging

    long and short cash positions forward contracting s well as

    speculating.

    n

    many cases options are

    more appropriate

    hedging vehicles

    when

    quantity

    or yield

    risk

    is present.

    Mechanics and examples of each

    of

    these applications

    are

    presented in this

    publication.

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    TABLE

    OF

    CONTENTS

    Page

    List

    of

    Tables

    .

    .

    .

    ii

    List of

    Examples

    .

    . .

    ii

    List of

    Figures

    .

    .

    .

    .

    Commodity

    Options:

    Introduction

    1

    History

    .

    1

    Definitions

    .

    2

    Simple

    Mechanics

    of Option

    Trading

    .

    3

    Buying

    Puts

    .

    4

    Buying

    Calls

    .

    4

    Selling

    Puts

    .

    .

    5

    Selling

    Calls

    .

    5

    Summary

    on

    Use of

    Options

    Versus

    Futures

    .

    6

    Application

    of Options

    by Merchants

    8

    Long

    Cash

    .

    . .

    .

    8

    Long

    Cash/Long

    Puts

    .

    9

    Long

    Cash/Short

    Calls

    .

    . 10

    Summary

    of

    Long

    Cash Position

    ..

    11

    Short

    Cash

    .

    11

    Short

    Cash/Long

    Calls

    .

    13

    Short

    Cash/Short

    Puts

    .

    14

    Summary

    of

    Short

    Cash

    Position

    .

    15

    Forward

    Contracts

    with Floor

    and

    Ceiling

    Prices

    .

    17

    Forward

    Contracts

    with

    Floor

    Prices

    .

    17

    Forward

    Contracts

    with

    Ceiling

    Prices

    .

    19

    Summary

    of

    Forward

    Contracts

    .

    . 21

    Quantity

    Risk

    . 22

    Overnight Transactions

    .

    .

    .

    22

    Summary

    of

    Quantity

    Risk

    .

    . 25

    Selected

    Decisions

    to

    be

    Made

    in he

    Use of

    Options

    .

    26

    Terminating

    Option

    Positions

    .

    . 26

    In the Money

    Vs.

    Out of the Money

    Options

    .

    27

    Long

    Cash/Long

    Puts

    .

    ...

    ...

    .

    27

    Short

    Cash/Long

    Calls

    .

    .

    30

    Summary

    of

    Options

    31

    Pricing

    of Commodity

    Options

    .

    .

    .

    33

    Concept

    .

    ...........

    Length

    of Time

    .

    ...........

    33

    Market Volatility

    .

    34

    Interest

    Rates

    . 36

    Relationships

    Between

    Market

    and Strike

    Price

    .

    .

    36

    Black Scholes

    Pricing

    Model

    .

    ........

    38

    Delta

    Factor

    .

    .. 41

    Recent

    Premiums

    .

    . . 41

    Summary

    .

    .....

    Selected Bibliography

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    List

    of

    Tables

    Table

    No.

    Pag

    1

    MERCHANT

    CASH

    POSITIONS

    AND

    USE OF

    FUTURES

    AND OPTIONS

    7

    2

    OUT OME

    OF

    A

    CH NGE

    N

    FUTURES

    PRICES

    O

    LONG

    ITM ND

    OTM

    POSITIONS

    ..

    . .

    .

    ............

    .

    ....

    .

    3

    3

    OPTION

    PREMIUMS

    FOR

    VARIABLE

    MATURITIES

    .

    34

    4

    OPTION

    PREMIUMS

    FOR

    DIFFERENT

    LEVELS

    OF

    MARKET

    VOLATILITY

    .

    36

    5

    OPTION

    PREMIUMS

    FOR

    VARIABLE

    INTEREST

    RATE

    37

    6 OPTION

    PREMIUMS

    FOR

    VARIABLE

    STRIKE

    PRICE

    37

    7

    INTRINSIC

    AND

    EXTRINSIC

    VALVE

    FOR DIFFERENT

    STRIKE

    PRICES

    OF

    CALL

    OPTIONS

    38

    8

    OPTION

    PREMIUMS

    AND

    DELTA

    COMPUTED

    FROM

    BLACK/SCHOLES

    MODEL

    .

    40

    9

    FUTURES

    AND

    OPTION

    PRICES:

    MINNEAPOLIS

    WHEAT

    AND

    CHICAGO

    SOYBEANS,

    NOVEMBER

    1984

    TO FEBRUARY

    1985

    .

    42

    List

    of

    Examples

    Example

    No.

    Page

    1

    LONG

    CASH/LONG

    PUTS

    .....

    .

    .

    10

    2 LONG

    CASH/SHORT

    CALLS

    12

    3 SHORT

    CASH/LONG

    CALLS

    14

    4 SHORT

    CASH/SHORT

    PUTS

    .

    .

    6

    5 DERIVATION

    OF

    FORWARD

    CONTRACTS I.E.,

    PRODUCERS WITH

    PRICE

    FLOOR

    .

    . .

    ..

    18

    6

    DERIVATION OF

    FORWARD

    CONTRACTS FOR SALE

    E.G.,

    TO IMPORTERS

    WITH

    PRICE CEILING

    .

    .

    20

    7

    OVERNIGHT SALE

    TRANSACTION

    .

    23

    8 OVERNIGHT

    PURCHASE

    TRANSACTION

    .

    ..

    24

    ii

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    COMMERCIAL

    ND

    PRODUCER

    APPLICATIONS

    USING

    OPTIONS

    ON GRAIN

    FUTURES

    John

    Satrom,

    Alfred

    Chan,

    and William

    Wilson

    Commodity

    Options:

    Introduction

    History

    Commodity

    options

    have

    had

    a history

    of adversity

    and

    diversity.

    Grain

    options

    began

    trading

    on

    the Chicago

    Board

    of Trade

    as

    early

    as

    the

    Civil

    War.

    Shortly

    after

    their

    introduction,

    however,

    the Board

    of

    Trade

    tried

    to cease

    trading

    because

    of perceived

    abuses.

    The

    state

    of Illinois

    banned

    option

    trading

    both

    on

    and

    off

    exchanges,

    but

    trading

    continued

    despite

    this

    statutory

    ban.

    Further

    restrictions

    came

    in

    887

    when

    the

    Board

    of Trade

    found

    it

    ecessary

    to

    restrict

    option

    trading

    y its

    members. Agricultural options

    were then

    alternately traded

    and banned

    between

    1887

    and

    1936.

    In 936,

    Congress

    banned

    the trading

    of

    agricultural

    options

    completely

    with

    the

    Commodity

    Exchange

    Act

    of

    1936.

    number

    of

    factors

    caused

    the

    1936

    ban,

    including

    the following:

    options

    were

    not

    being

    used

    for

    traditional

    risk-shifting

    purposes,

    small

    traders

    lured

    into

    options

    markets

    to speculate

    usually

    lost money,

    large

    traders

    could

    use

    options

    to cause

    artificial

    price

    movements,

    terms

    and

    conditions

    of

    options

    were

    not

    standardized,

    and

    congestion

    near

    the

    close

    of

    the

    market

    could

    occur

    because

    many

    options

    were

    good

    for

    less

    than

    a

    day

    (Horner

    and

    Moriority

    1983).

    specific

    case

    occurred

    in

    he early

    1930s when

    options

    were blamed

    for

    the excessive

    price

    movements

    in

    heat,

    which

    led

    to

    the collapse

    of

    the Chicago

    Board

    of

    Trade's

    wheat

    market

    in

    1933.

    Trouble

    continued

    to occur

    in

    he

    late 1960s

    and early

    1970s

    when

    gold

    options

    were

    being

    sold

    fraudulently.

    The

    problems

    all

    seemed

    to stem

    from

    the

    lack of

    one

    specific

    governing

    body.

    After

    the gold

    incident,

    the

    Commodity

    Futures

    Trading

    Commission

    (CFTC)

    was

    given

    full

    control

    of

    all commodity

    futures

    and

    options

    trading.

    The

    commission

    has worked

    to

    develop

    regulations

    for

    exchange-traded

    options,

    and in

    eptember

    1981

    the CFTC

    approved

    a

    three-

    year

    pilot

    program

    including

    options

    trading

    in

    old,

    treasury

    bonds,

    and

    sugar.

    Following

    this,

    the

    Futures

    Trading

    Act

    of

    1982

    lifted

    the 1936

    ban

    on agricultural

    options.

    The result

    was

    development

    of an experimental

    three-year

    program

    of organized

    trading

    in selected

    agricultural

    options

    which was introduced

    in

    October 1984.

    Satrom

    and

    Chan

    are

    graduate

    research

    assistants

    and

    Wilson

    is

    associate

    professor,

    Department

    of

    Agricultural

    Economics,

    North

    Dakota

    State

    University,

    Fargo.

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    3

    Out-of-the-

    Money

    Intrinsic

    Value

    Time

    or

    Extrinsic

    Value

    Expiration

    Date

    Breakeven

    Level

    call

    (put)

    is

    ut-of-the-money

    if ts

    strike

    price

    is

    above

    (below)

    the

    current

    price

    of

    the

    underlying

    futures

    contract.

    The

    option,

    call

    or

    put,

    has

    no

    intrinsic

    value.

    component

    of the

    option

    premium

    which

    is easured

    in

    a

    dollar

    amount

    if ny)

    by

    which

    the

    current

    market

    price

    of the

    underlying

    futures

    contract

    is bove

    the

    strike

    price for

    the

    call option

    and below

    the strike

    price

    for

    the

    put option.

    Both

    at-the-money

    and

    out-of-the-money

    options

    have

    no

    intrinsic

    value.

    Another

    component

    of

    an

    option

    premium,

    measured

    by

    the

    amount

    by

    which

    the

    premium

    exceeds

    the

    intrinsic

    value

    of the

    option

    Time

    Value

    =

    Premium

    Intrinsic Value

    The date

    that

    is

    he

    last

    day

    that

    a

    holder of

    a

    put or

    call

    option

    may

    exercise

    his

    or her

    right

    to buy

    or

    sell

    the underlying

    futures

    contract

    at

    the option

    strike

    price.

    After

    the

    expiration

    date,

    the option

    contract

    becomes

    null

    and void.

    The

    expiration

    dates

    will

    parallel

    futures

    contract

    months.

    For

    example,

    a

    September

    spring

    wheat

    option

    on a September

    spring

    wheat

    futures

    contract

    will

    expire at

    least

    ten days

    prior

    to

    the

    first

    notice day

    of

    the

    September

    futures

    contract.

    There is

    a separate

    breakeven

    level

    for both

    call and

    put options.

    For

    the

    call

    option,

    the breakeven

    level

    equals

    the strike price

    plus

    the premium.

    For

    the put

    option,

    the breakeven

    level

    equals

    the

    strike

    price

    minus

    the premium.

    Simple Mechanics

    of Option

    Trading

    Merchandisers

    and, to

    a

    lesser

    extent,

    producers

    are familiar

    with

    the advantages

    of hedging

    with

    commodity

    futures.

    The development

    of

    options

    will

    in

    ome cases

    complement

    and

    in

    thers substitute

    for

    futures

    hedges,

    depending

    on

    the individual's

    risk

    aversion

    and potential

    return.

    The primary

    difference

    between

    options

    and futures

    for

    hedging

    purposes

    deals with

    the price

    that

    is locked

    in.

    A futures

    hedge

    allows

    the hedger

    to

    lock in a specific price

    for the futures,

    while

    use of

    options locks in

    a floor

    or ceiling

    price for

    the

    futures.

    An

    uncovered

    cash

    position

    is

    characterized

    by

    having

    the potential

    for

    high

    risk

    and,

    at

    the

    same time,

    large returns.

    When

    a futures

    position

    is aken

    opposite

    to

    the

    cash posi-

    tion,

    the

    hedger

    offsets

    potential

    cash

    market losses

    but

    can

    also negate

    any

    cash

    market

    gain.

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    With the use

    of

    options,

    losses

    in

    he cash market

    are offset

    by

    gains

    in

    he option

    market

    but

    gains

    in

    he cash

    market

    are not

    negated by

    losses

    in

    he futures

    or options.

    There

    are four

    basic

    positions in

    ption

    trading:

    buying

    puts,

    buying calls,

    selling

    puts,

    and selling

    calls.

    It

    should

    be

    noted

    that

    puts

    do

    not

    offset

    calls

    and vice

    versa;

    each

    is a

    separate type

    of

    option. Each option

    position

    depends

    on

    the

    user s

    cash

    position along

    with other factors

    specific

    to

    each merchant.

    long

    option

    position involves

    limited

    risk

    and potentially large

    returns.

    Conversely,

    a short

    option position,

    or selling

    options,

    entails

    potentially

    large

    risks

    and

    limited

    returns.

    Buying

    Puts

    hedger with

    a long

    cash position

    can establish

    a loor

    price and be

    able

    to take

    advantage of a price rise

    by having a

    long put position.

    The

    only cost

    involved is

    he

    premium

    paid by the

    purchaser to

    the seller

    at

    the time

    the transaction

    is

    initiated. The following

    example

    will

    help

    illustrate this.

    long

    cash grain

    position is aken

    at a futures

    price

    which would realize

    a

    small profit. The

    merchant

    or

    producer

    is

    ptimistic

    about prices

    in

    he future, yet

    he

    would

    like to

    lock in his

    price

    as a

    floor, resulting

    in a

    small

    profit over

    operating costs.

    The appropriate

    action

    in he option

    market would be to buy puts. This allows

    the merchan-

    diser to

    lock

    in a loor

    price

    equal

    to

    the strike

    price minus

    the

    premium.

    The basic idea

    behind this plan

    is hat if rices decline

    further, the

    option

    may be exercised to

    obtain

    the floor price.

    Exercising

    the put

    options involves

    assuming a short

    futures position at

    the

    strike

    price

    when

    their

    actual

    value

    is

    ess

    than the

    strike price.

    The difference between

    the

    two

    prices

    minus

    the

    premium would be

    the net profit. Alternatively,

    if he underlying futures price rises,

    the puts will not

    be

    exercised;

    the

    effective price

    will be the higher cash price minus the

    premium.

    Buying

    Calls

    long

    call position

    allows

    a hedger to

    establish a ceiling price

    while being able to benefit from a

    price

    decline. short cash grain posi-

    tion

    can be

    protected

    by

    purchasing

    call options. Once again, the only

    cost incurred is

    he premium. number of different scenarios

    can be

    deve-

    loped to illustrate

    a short cash position; in ome

    cases

    price risk will

    be

    prevalent and in thers quantity risk may be apparent. Specific

    examples

    of each

    will be

    given later.

    An

    illustration of

    a short

    cash position

    will

    demonstrate the simple

    mechanics of a long call

    position.

    For instance,

    a

    merchandiser

    or

    processor) who

    has

    sold cash

    grain

    for future delivery

    but does

    not

    have

    the

    physical

    commodity

    on hand

    is

    subject to

    the

    risk

    of a price

    increase before actually

    buying

    or

    pricing

    the

    grain. The

    merchant could hedge in the

    futures market but

    would not

    be

    able to

    benefit

    if

    prices declined.

    Purchasing

    calls

    would

    lock

    in a

    ceiling

    price equal

    to

    the strike price, plus, if prices

    increased, the

    merchant

    would be able to

    realize

    the

    ceiling

    price by

    exercising

    the

    call

    option. This would entail

    assuming a long futures position

    at the

    strike

    price when actual value

    is

    greater;

    the difference between the two prices

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    less

    the premium

    will

    be the

    net

    profit.

    Conversely

    if

    rices

    fell

    the

    calls

    would

    not be

    exercised;

    the effective

    purchase

    price

    would

    be the

    cash

    price

    plus

    the premium.

    Selling

    Puts

    Long

    option

    contracts

    are

    analogous

    to buying

    price

    insurance

    with

    the cost

    of

    the insurance

    being

    the

    premium.

    Selling

    option

    contracts

    can

    then

    be thought

    of as

    selling

    or

    writing

    price

    insurance.

    The

    option

    writer

    or

    seller

    receives

    a

    premium

    in

    eturn

    for issuing

    the insurance.

    Consequently

    the

    option

    seller

    may

    be

    able

    to

    augment

    his

    income

    by the

    amount

    of

    the

    premium.

    However

    the seller

    must

    also

    be

    prepared

    to face

    margin

    requirements

    and

    the possibility

    of a

    mandatory

    futures

    position

    if

    prices move

    against

    him.

    merchant

    with a

    short

    cash

    or forward

    position

    could

    sell

    puts

    with

    the

    intention

    of increasing

    income

    by

    the amount

    of

    the premium.

    This

    alternative

    is ttractive

    only if rice

    expectations

    are

    bullish

    or

    neutral

    because

    if

    rices

    decline

    the

    futures position may

    be assumed

    at

    a

    loss. This

    is

    he

    negative aspect

    of selling

    puts.

    The level

    of

    gain

    from such

    a strategy

    is ixed

    while

    the

    amount

    of

    loss is

    nlimited.

    The

    primary

    decision

    criteria

    for

    selling

    puts is

    he premium

    value

    or

    the

    maximum

    amount

    that

    can be added

    to income.

    The basic

    mechanics

    of selling

    puts

    to

    increase

    income

    are relatively

    easy

    to

    understand.

    The

    merchant

    begins with

    a short

    cash

    position

    as

    mentioned

    earlier.

    He

    is

    ullish

    about

    the future

    and

    feels

    that

    premiums

    are

    high enough

    to support

    selling

    put options.

    The

    merchandiser

    receives

    the premium

    right

    away

    but he must

    also

    comply with

    margin

    requirements.

    If prices

    go up

    sufficiently

    the

    puts

    are

    not

    exercised

    by the

    buyer and

    the merchant

    gains

    the premium.

    If rices

    go down

    the options.may

    be

    exercised

    and

    the merchant

    will

    be

    assigned

    a

    long futures

    position

    at the

    strike

    price.

    In

    addition

    to

    augmenting

    income

    selling

    of puts

    can

    be used to

    acquire

    commodity

    futures

    at a price

    below

    the

    current

    market price.

    This

    will

    occur

    if

    he

    put

    is

    xercised

    by the buyer;

    the put writer

    is

    hen

    obligated

    to

    acquire a

    long futures

    position.

    The effective

    price

    paid

    for

    the

    futures

    will be the

    put

    strike

    price

    less

    the premium

    received.

    This

    type

    of

    strategy

    may

    be beneficial

    to a merchant

    such

    as a grain

    processor

    whose

    product

    price is

    ixed

    and

    who wants

    to protect

    his profit

    margin.

    Selling

    puts

    offsets

    an

    increase

    in rain

    prices

    by

    the amount

    of

    the premium

    and at

    the

    same

    time

    establishes a

    loor price

    for the

    purchase

    of

    the

    grain should prices decline.

    It

    should

    be

    noted that

    if

    prices

    do

    decline

    and the

    puts are exercised

    the

    put writer

    can

    immediately

    offset

    his

    long

    futures

    position

    by selling futures

    for the same delivery

    month.

    Selling

    Calls

    The fourth

    basic

    option

    position

    is selling

    calls.

    This strategy

    may

    be

    used by

    a

    commercial

    merchant or

    producer

    who

    has

    a long cash position.

  • 7/24/2019 Aplications Using Options

    10/50

    6

    A

    short

    call

    position would be taken if e had essentially bearish or

    neutral expectations

    about

    the

    particular

    grain

    market.

    Like

    selling puts,

    selling

    calls gives

    the

    merchant

    the

    opportunity to increase current income

    or

    margins

    by

    the amount of the

    premium.

    The

    scenario

    under which calls may

    be sold

    is asically when a

    merchant

    has

    a

    long cash

    position

    and

    expects

    the

    market

    to be

    bearish

    or

    neutral,

    as mentioned

    above. When

    the merchant sells

    the

    calls,

    the

    pre-

    mium

    is arned. Once again, he must also face margin requirements,

    including possible margin calls if

    he options are

    exercised

    and

    prices

    move against

    him. If owever, prices fall or

    remain

    at approximately

    the

    same

    level

    over

    the life of the contract, the

    calls

    will

    expire.

    Consequently,

    the merchandiser will be

    successful

    in

    increasing

    income by

    the option

    premium less

    depreciation if he

    physical grain was

    being

    stored.

    If

    prices

    appreciate significantly

    during the life of the option,

    the

    calls would

    be exercised. This

    would

    result

    in

    he

    merchant being obli-

    gated

    to

    take a short futures position

    at

    the

    strike

    price

    when they are

    actually valued higher.

    The difference between

    these two

    prices

    plus the

    premium would result in he net loss. If he

    physical grain were being

    stored,

    the merchant

    would also realize an appreciation

    in

    he

    value

    of

    the

    inventory. Thus,

    a ceiling price

    would be

    locked in

    or

    the commodity.

    Summary

    on

    Use

    of Options

    Versus Futures

    Options and

    futures are inherently

    related.

    This

    is vident by the

    fact that, like

    futures, there are two

    basic

    option

    transactions

    which

    can

    be

    initiated.

    One is o purchase options

    and the

    other is o sell or

    write

    options.

    The specific

    direction will be

    determined by the

    user s main

    objective.

    If

    e

    wants

    to

    lock

    in a

    floor

    or

    ceiling

    price,

    the

    appropriate

    action would be

    to

    buy options.

    The

    primary

    characteristic

    of

    this strategy is

    nlimited

    profit potential

    with the only cost

    being

    the

    premium.

    Alternatively if is

    goal is

    o

    increase

    income,

    options

    can

    be

    sold.

    However, there would be

    unlimited risk of

    an adverse

    price move,

    while the gain

    would

    be

    limited to the

    premium.

    Therefore, the

    risks are

    greater and

    the

    potential return

    smaller

    with a

    short options

    hedge

    rela-

    tive to

    a long options hedge.

    Table

    1 summarizes

    the

    characteristics

    of options

    versus

    futures

    hedges

    for

    producers and

    merchants

    with

    long

    and

    short cash

    positions.

    Typically,

    a long

    cash

    position could

    be hedged

    in

    he

    futures

    market

    by

    selling

    futures contracts.

    This

    requires

    margin money and,

    in ddition,

    locks

    in the sale

    price so

    futures prevents

    the hedger

    from

    benefiting

    from

    a

    price increase.

    However a

    long

    cash

    position could also

    be

    hedged in

    the

    options

    market either

    by purchasing puts

    or selling

    calls.

    Buying

    puts

    allows

    the

    user

    to lock in

    a floor

    price equal

    to the strike

    price

    minus

    the

    premium. Selling calls

    results in an

    increase

    in

    income

    by

    the amount

    of the

    premium although

    margin

    money is

    required and

    unlimited risk of

    a

    price

    decrease is

    realized. In

    addition

    if

    the

    underlying futures

    price

    increases

    so

    that

    the calls

    are

    exercised the

    seller

    will

    be

    obligated to

    take

    a short

    futures

    position at the

    strike

    price when

    they are actually

    valued higher.

  • 7/24/2019 Aplications Using Options

    11/50

    T BLE

    1.

    MERCH NT

    C SH

    POSITIONS

    ND

    USE OF FUTURES

    ND

    OPTIONS

    Cash Position

    Traditional

    Futures

    Positions

    Alternative Option

    Positions

    Long

    Cash

    Sell

    Futures

    Buy Puts

    Inventory

    or Forward

    Purchase)

    requires

    margin

    protects against price

    decrease

    cannot

    benefit

    from

    price

    increase

    locks

    in

    floor

    price

    .

    benefit

    from price

    increase

    must pay

    premium

    no

    margin

    Sell

    Calls

    increase income

    by

    amount

    of

    premium

    requires

    margin

    unlimited

    risk

    of

    price

    decrease

    possibility

    of

    having

    short

    futures

    if

    exercised

    Short Cash

    Buys

    Futures

    requires margin

    protects

    against

    price

    increase

    cannot benefit

    from

    price

    decrease

    locks

    in ceiling

    price

    benefit

    from

    price

    decrease

    must pay

    premium

    no margin

    Sell Puts

    increase

    income

    by

    amount

    of

    premium

    requires

    margin

    unlimited

    risk

    of price

    increase

    possibility

    of

    having

    long

    futures

    position

    if

    exercised

    Conversely,

    a

    short cash

    position

    is raditionally

    hedged

    in he

    futures

    market

    by

    purchasing

    futures

    contracts.

    Once

    again,

    this

    locks

    in

    a

    price

    so the

    hedger

    is ot

    able

    to

    benefit

    from

    a price

    decrease,

    while

    Buy

    Calls

  • 7/24/2019 Aplications Using Options

    12/50

    also

    requiring

    margin

    money.

    Alternatively,

    this

    cash

    position

    could

    be

    hedged in

    he

    options

    market by

    one

    of two ways:

    buying

    calls

    or selling

    puts.

    Buying

    calls

    locks

    in

    a ceiling

    price.

    Selling

    puts

    increases

    income

    by the

    premium

    but requires

    margin

    money

    and exposes

    the

    hedger

    to

    unlimited

    risk

    of a

    price

    increase.

    However,

    if rices

    decline

    signifi-

    cantly

    and if

    he

    puts

    are

    exercised,

    the

    seller

    will

    be

    required

    to take

    a

    long

    futures position

    at the

    strike price

    when

    they are

    actually

    valued

    lower.

    Application

    of Options

    by Merchants

    and Producers

    Traditionally,

    elevators,

    domestic

    merchants

    and

    exporters

    have made

    extensive

    use

    of

    the

    futures

    market

    in

    edging

    cash

    positions.

    Producers

    hold

    similar

    cash

    positions

    and the same

    principles

    apply. The

    options

    market

    can

    be used

    by any

    of these

    participants

    as a

    substitute

    and/or

    supplement

    to the

    futures

    market

    in

    he

    hedging role.

    Each

    of these

    par-

    ticipants

    performs

    unique

    functions

    in

    he

    grain

    marketing

    chain.

    However,

    they

    are

    homogeneous

    in

    he

    sense that

    they

    can have

    similar

    cash

    posi-

    tions.

    This allows

    for

    generalizations

    across

    merchants

    and

    producers

    about

    the type of

    option position

    to use for

    a

    specific

    cash

    position.

    A

    number

    of

    assumptions

    are

    used

    in ach

    of the

    examples

    and are listed

    below.

    Assumptions

    used

    in

    ll

    examples:

    The

    purchase

    or

    sale

    of

    an

    option

    will be

    made

    at a strike

    price

    which

    is t-the-money.

    Premiums are

    based

    on Black/Scholes

    model

    calculations

    and

    are

    representative

    for

    example

    purposes.

    Options

    contracts

    are

    liquidated

    or

    offset

    in ach case

    instead

    of

    exercising

    or letting

    them

    expire.

    There will

    be no change

    in he basis.

    This

    is

    ssumed

    to

    demonstrate

    the

    mechanics

    and

    isolate

    the

    effects

    of

    changes

    in

    cash

    futures

    and option values.

    There will

    always

    be some

    basis

    risk,

    and options

    do not

    protect

    against

    basis risk.

    Long

    Cash

    For a

    erchant with

    a long cash

    position,

    the greatest

    risk

    is he

    price risk

    associated with the sale

    of

    that

    grain.

    A producer

    has similar

    risk

    when planting

    decisions

    are made.

    The

    only difference

    between

    a pro-

    ducer s

    and merchant s

    cash position

    is hat

    before

    harvest the

    producer

    also has

    an element of

    risk

    associated

    with production

    i.e., yield

    risk).

    Both participants have

    a

    desire

    to

    protect

    the

    value

    of

    their cash market

    position.

    When the futures

    market

    is

    used, a futures

    price is

    locked

    in

    thereby minimizing

    risk.

    However,

    they

    would

    be unable to benefit

    if

    futures

    prices increase

    after

    the

    futures

    position

    is

    taken.

    This is where

    an

    options

    contract

    would

    be

    desirable.

    As

    demonstrated

    in Table 1

    merchants

    or

    producers

    with

    long cash

    positions

    can

    either

    buy

    puts

    or

    sell

    calls. Examples

    of each

    are described

    below.

  • 7/24/2019 Aplications Using Options

    13/50

    Long Cash/Long

    Puts:

    A merchant

    or producer

    with

    a

    long cash

    position

    who

    wants

    protection

    against

    a bearish

    price

    move

    could

    lock in

    a floor

    price

    but

    also

    benefit

    from

    a

    potential

    price

    rise

    by purchasing

    put options.

    The

    buyer

    must

    decide

    whether

    to buy

    in-the-money

    (ITM), at-the-money

    (ATM),

    or out-of-the-money

    (OTM)

    puts, although

    we are

    assuming

    ATM

    in his

    case

    (the

    differences

    will be

    discussed

    in

    reater

    detail

    later).

    The

    premium

    will

    vary

    for each

    case

    as will the

    final

    results.

    long

    put

    position

    gives

    the

    uyer

    the

    right

    ut not

    the obligation

    to

    sell futures

    at a specified

    strike

    price

    or

    exercise the option.

    However,

    instead

    of

    either

    exercising

    or letting

    the option

    expire,

    the buyer

    may also offset

    his

    position

    by selling

    the

    puts

    back.

    The

    price

    movement

    of

    the

    underlying

    futures price

    will

    affect

    the

    buyer s

    decision.

    If he

    underlying

    futures

    price

    increased

    signifi-

    cantly

    over

    the life

    of

    the

    option,

    the

    buyer could

    then

    either

    let

    it xpire

    and

    realize the

    greater price

    or

    sell

    the

    puts

    back

    and

    possibly

    earn

    a

    premium

    plus the

    higher

    cash

    price.

    If he

    opposite

    occurred,

    that

    is

    he

    underlying

    futures

    price

    dropped considerably,

    the

    buyer

    could

    again pick

    one

    of

    two

    possibil-

    ities:

    exercise

    the

    option

    and be

    given

    a

    short futures

    position

    at

    the

    strike price,

    or offset

    the

    option,

    receive

    a

    premium,

    and

    be out

    of the

    futures

    market completely.

    In ither case,

    the

    risk is

    limited

    to the

    premium paid

    while

    the

    possible

    returns

    are

    unlimited.

    The

    mechanics

    of this

    type

    of transaction

    are best

    illustrated

    in

    Example

    1.

    Example

    illustrates

    that

    the

    largest net

    result occurs

    when the

    underlying

    futures

    price

    increases It

    hould

    e

    noted

    that

    the

    premium

    earned

    on the liquidation

    of

    the puts

    is qual

    to

    zero

    because

    there

    is

    o

    intrinsic

    or extrinsic

    value left

    in

    he

    option.

    Conversely,

    when the

    underlying futures

    price

    declines,

    the intrinsic

    value

    of

    the

    puts increases

    and results

    in

    he greater

    premium being

    earned from

    offsetting

    the position.

    However, the net

    result

    is

    still a negative

    figure

    because the

    intrinsic

    value did

    not increase

    enough

    to

    cover both the

    cash

    loss

    and

    the

    original

    premium.

    Thus,

    the returns

    have

    unlimited

    upside potential

    while the

    largest

    loss is

    limited

    to the

    premium.

    A traditional

    hedge against

    a

    long

    cash position

    would

    be

    to sell

    futures.

    In

    Example

    1

    because

    the

    basis

    is

    assumed unchanged

    the

    net

    result

    would

    be zero

    and the effective

    sales

    price would be

    410.

    Thus

    if

    prices increase

    an options

    position

    is preferable

    to

    a

    futures

    hedge

    and vice

    versa

    for price decreases.

  • 7/24/2019 Aplications Using Options

    14/50

    -

    1

    -

    EXAMPLE

    1 LONG CASH LONG

    PUTS

    Setting:

    September

    3

    984

    Buy 20,000 Bushels

    @410

    December

    Futures

    380?

    Duluth

    Basis

    30O

    December 380

    Put

    8?

    A.

    ell cash

    on November

    1 at which

    time

    December

    futures

    increased

    to 4209.

    Basis

    is

    nchanged

    at

    30 .

    1. ell

    offset)

    put, or let expire

    2.

    Calculation

    of

    returns

    Return from

    cash sale 450?

    Less purchase price

    -410

    Less

    premium

    paid

    - 8

    Plus premium earned

    0

    Net

    Result

    9

    Effective

    Sale

    Price

    442?

    B.

    ell cash

    on

    November

    1 at

    which

    time

    December

    futures

    decreased

    to 350.

    Basis

    is

    nchanged

    at

    +30.)

    1.

    Could

    exercise

    option,

    or

    sell

    offset)

    put

    2. Calculation

    of returns

    Return

    from cash sale

    380?

    Less purchase

    price

    -410

    Less

    premium

    paid

    -

    8

    Plus

    premium earned

    30

    Net

    Result

    - 8

    Effective Sale Price

    402?

    Long Cash/Short Calls:

    Another

    tactic

    for

    a

    merchant or producer

    with a long cash

    position

    is to sell

    call options

    A short call

    position

    allows the

    seller

    to

    augment

    current

    income

    by the

    amount

    of

    the premium This

    course

    of

    action is

    especially

    attractive

    if

    prices are

    expected

    to remain

    relatively

    stable

  • 7/24/2019 Aplications Using Options

    15/50

    Once

    again,

    the

    ITM, ATM,

    or OTM

    calls

    can be

    sold,

    but it

    is

    assumed

    that

    ATM

    calls

    are

    used.

    In

    his

    case,

    the

    seller

    receives

    the

    premium

    at

    the

    time

    of

    the sale.

    The return

    is

    imited

    to

    this

    premium

    while

    potential

    losses

    are

    unlimited.

    Margin

    money is

    lso

    required

    to

    cover

    a potential

    futures

    position.

    short

    call

    posi-

    tion

    does

    not offer

    the

    seller

    many

    alternatives

    in egard

    to

    a

    price

    increase

    or decrease.

    The

    only

    choice

    is

    etween

    holding

    the

    call

    position

    with the results

    determined

    by the actions

    of

    the

    buyer

    or

    buying

    the

    calls

    back

    before

    they

    are exercised

    or expire.

    If

    he

    underlying

    futures

    price

    increases,

    the

    buyer

    may

    exercise

    the calls,

    in

    hich

    case

    the

    seller

    will

    be

    given

    a

    short

    futures

    position

    or

    the

    seller

    can

    offset

    the

    calls

    before

    they

    are

    exercised

    to

    ensure

    staying

    out

    of the

    futures

    market.

    However,

    the

    seller

    must

    remember

    that

    if

    e offsets

    the options,

    he will have

    to pay

    a premium.

    If

    the opposite

    occurs

    where

    futures

    prices

    decrease,

    the buyer

    will

    most

    likely

    not exercise

    the calls

    because

    the

    price

    move

    is

    favorable.

    The

    seller

    can

    then

    buy

    the

    options

    back

    any

    time

    before

    expiration

    if esired,

    or he

    could

    simply

    let them

    expire

    without

    liquidating.

    Example

    illustrates

    the mechanics

    of

    this

    type

    of

    transaction

    when the

    options

    are

    offset.

    It

    is

    vident

    from this

    example

    that

    the greatest

    possible

    net return

    is limited

    to

    the premium

    earned

    from

    the

    call

    sale,

    which

    in

    his

    case

    is

    8 cents.

    Furthermore,

    the seller s

    risk is

    heoretically

    unlimited.

    When

    the futures

    price

    did decline

    and

    the calls

    were

    offset,

    the premium

    paid

    was

    equal

    to zero

    because

    the option

    had no

    intrinsic

    or extrinsic

    value

    left.

    However,

    in

    art A

    where

    the

    futures

    price

    increased,

    the

    options

    gained

    intrinsic

    value

    and thus

    resulted

    in

    he 40-cent

    premium

    paid

    for

    offsetting

    the calls.

    Therefore,

    selling

    call

    options with

    the

    intention

    of

    later

    liquidating

    this

    position

    is isky

    and

    is eneficial

    only when

    futures

    prices

    remain

    relatively

    stable

    or

    increase.

    Summary

    of Long

    Cash Position

    A merchant

    or producer

    with a

    long cash

    position

    has two option

    alternatives:

    to buy

    puts

    to

    lock ina

    floor price,

    or

    to sell calls

    to

    supplement

    current

    income.

    An

    important

    difference

    between

    the

    two choices

    is

    he risk

    levels

    involved.

    Buying

    puts

    is

    referable

    to traditional

    hedging

    if

    utures

    prices

    increase

    because

    the gain

    in

    ash prices

    is

    ot

    offset

    by losses

    in

    he futures.

    long

    put position

    results

    in

    imited

    risk

    and

    unlimited

    profit potential,

    while

    a short

    call

    position

    is

    harac-

    terized

    by a

    return

    limited

    to

    the premium

    and

    risk that is

    heoretically

    unlimited. Thus

    in

    most hedging applications buying puts

    will be

    more

    advantageous

    than selling

    calls.

    Short

    Cash

    Another

    typical position

    of

    grain merchants

    processors

    and

    to

    a

    lesser

    extent

    producers

    is

    to be

    short

    cash

    grain.

    If

    a

    futures

    market

    is used as

    a

    hedge

    the purchase

    price

    is locked

    in

    so

    long

    as

    the

    basis

    is

  • 7/24/2019 Aplications Using Options

    16/50

    -

    12

    -

    EXAMPLE

    2

    LONG

    CASH/SHORT

    CALL

    Setting:

    September

    3 1984

    Buy 20 000

    Bushels @410

    December Futures

    8 ?

    Basis

    3

    December 380

    Call 8?

    A

    Sell cash on November 1 at

    which time

    December futures increased

    to 420.

    (Basis is

    unchanged

    at +30 .)

    1

    Buyer

    may exercise calls,

    or seller may offset

    (buy

    back)

    the call

    2. Calculation of

    returns

    Return from cash sale 450?

    Less

    purchase

    price

    410

    Option premium

    earned

    8

    Less premium

    paid -

    40

    Net Result

    8?

    Effective Sales

    Price

    418?

    *Loss in ption

    is

    ffset by gain

    in

    ash

    value.

    B

    ell

    cash

    on

    November

    1

    at

    which time

    December futures decreased

    to

    350.

    (Basis is nchanged at +309.)

    1 ption will

    not

    be

    exercised y purchaser

    2 Calculation

    of returns

    Return from

    cash sale

    380?

    Less

    purchase

    price

    -410

    ption

    premium earned

    8

    Less premium paid

    0

    Net Result - 22?

    Effective Sales Price 388?

    unchanged.

    However the merchant

    is

    unable

    to take advantage

    of

    a decrease

    in prices

    after

    the

    contract

    is

    made.

    An options hedge

    on

    the

    other hand

    permits

    the buyer to benefit

    from

    a price

    decline.

  • 7/24/2019 Aplications Using Options

    17/50

    3

    A merchandiser

    with

    a

    short

    cash

    position

    would

    ultimately

    like

    to

    establish

    a ceiling

    price

    and take

    advantage

    of a

    fall

    in

    rices.

    A common

    scenario

    is or

    a

    erchant

    or

    processor

    to sell

    grain

    for some

    future

    month

    but

    not

    have

    the physical

    grain

    on hand.

    Purchasing

    call options

    would

    establish

    a ceiling

    price

    for

    the

    eventual

    cash

    purchase.

    Merchants

    can

    either

    buy

    calls

    or

    sell

    puts

    against

    a

    short

    cash

    position.

    The

    following

    examples

    illustrate

    the

    mechanics

    involved

    and

    possible outcomes.

    Like

    the

    first

    examples

    the same

    assumptions

    apply.

    Short

    Cash/Long

    Calls:

    A merchant

    or producer

    with

    a short

    cash

    position

    who

    wants

    to pro-

    tect against

    a bullish

    price

    move

    and benefit

    from

    a

    potential

    price

    decline

    could

    lock in

    a ceiling

    price

    by purchasing

    call options.

    It

    is

    ssumed

    that

    ATM calls

    are

    bought

    although

    ITM

    or OTM calls

    are

    also possible.

    The

    buyer

    pays

    a premium

    for

    the

    privilege

    to lock

    in

    the ceiling

    price.

    The

    long call

    position

    gives

    the

    buyer

    the

    right but

    not

    the

    obligation

    to buy

    futures

    at the

    strike

    price

    or

    to

    exercise

    the

    call

    option.

    Two

    more

    alternatives

    still

    exist:

    he

    could

    let the

    options

    expire

    or

    offset

    his position

    by selling

    the

    calls back.

    The

    decision

    depends

    on

    the

    movement

    of the

    underlying

    futures

    price.

    If he

    underlying

    futures

    price

    increased

    significantly

    the

    merchant

    could

    exercise

    the options

    in

    hich case

    he would

    receive

    a long

    futures

    position

    at

    the strike

    price

    when

    the futures

    value

    is

    actually

    greater.

    Alternatively

    the

    buyer

    could

    liquidate

    his

    option position

    gain

    a

    premium

    and

    be clear

    of the futures

    market.

    If

    he

    futures price

    declined substantially

    the

    buyer could either

    let

    it

    xpire

    and

    realize

    the lower

    price

    or offset

    the

    calls to

    possibly.gain

    a

    premium.

    Furthermore

    because

    the futures

    price

    declined

    the

    purchase

    price

    will also

    be

    less.

    Example

    illustrates

    the

    mechanics

    of

    this

    type

    of transaction.

    This example

    shows that

    the greatest

    loss

    is imited

    to the

    premium

    paid

    while

    the

    potential

    returns

    are

    virtually

    unlimited.

    When

    the

    underlying

    futures

    price increased

    the

    net result

    was

    a loss

    of 8

    cents--the

    premium. The

    premium

    earned

    from the

    liquidation

    of the

    calls just

    offset

    the larger

    purchase

    price

    because the intrinsic

    value of the

    calls had

    increased.

    Conversely

    in

    art B the premium

    earned

    equalled zero

    because there

    was

    no intrinsic

    or extrinsic

    value

    left.

    The net result

    is

    greater

    in Part

    B

    because of

    the

    lower

    purchase

    price.

    Buying

    calls

    is

    preferable

    to traditional

    hedging

    if

    futures

    prices

    decrease because

    the

    gain

    in

    the

    cash price

    is not

    offset

    by losses

    in the

    futures.

    If

    futures

    prices

    increase

    buying futures

    yields

    a

    greater

    return by

    the cost

    of

    the premium.

  • 7/24/2019 Aplications Using Options

    18/50

    -

    4

    -

    EXAMPLE 3.

    SHORT

    CASH LONG

    CALLS

    Setting:

    September 3

    1984

    Sell

    20 000 Bushels @410

    December

    Futures

    380?

    Basis

    3

    December

    380

    Call

    8?

    A

    Buy cash

    on

    November

    1 at

    which time

    December futures

    increased

    to

    420 .

    1

    ption

    can be

    exercised,

    or sold

    to

    offset

    2

    Calculation

    of returns

    Return

    from

    cash

    sale 410?

    Less purchase

    price

    -450

    Less

    premium

    paid

    -

    8

    Plus

    premium

    earned

    40

    Net Result

    -

    8?

    Effective

    Purhcase

    Price 418?

    B

    Buy

    cash on

    November

    1 at

    which

    time December

    futures

    decreased

    to

    350 .

    1 Option

    could

    be left

    to

    expire,

    or

    offset

    2 Calculation

    of returns

    Return

    from

    cash

    sale

    410o

    Less

    purchase

    price

    -380

    Less

    premium

    paid

    -

    8

    Plus premium

    earned

    0

    Net Result

    22

    Effective

    Purchase

    Price

    388?

    Short

    Cash/Short

    Puts:

    Buying

    call

    options

    is

    ot the

    only

    strategy

    for

    a

    erchant

    or pro-

    ducer

    with a

    short

    cash

    position.

    Put

    options

    could

    also

    be sold.

    This

    alternative

    does

    not lock

    in

    a

    ceiling

    price

    however.

    Instead

    it

    either

    offers

    a

    chance

    for

    the

    merchant

    to

    increase

    his current

    income

    or buy

    futures

    at a

    lower

    price

    if

    the

    options

    are

    exercised.

    The

    best

    outcome

    will

    occur if

    the

    market

    remains

    relatively

    stable

  • 7/24/2019 Aplications Using Options

    19/50

    5

    so

    that

    the options

    will not

    be exercised,

    but

    yet

    retain some

    intrinsic

    value.

    Furthermore,

    the results

    will vary

    depending

    on

    whether the

    merchant

    sells

    ITM, ATM,

    or

    OTM puts;

    however, ATM

    puts

    will

    be

    assumed

    sold.

    Selling puts

    will

    produce

    a

    limited return

    equal

    to

    the

    premium

    while the risk

    potential

    will

    be

    unlimited.

    In

    addition,

    the

    merchant

    will

    be

    required

    to have

    margin

    money

    available.

    Overall,

    a short put position

    has

    virtually

    the same

    fundamental

    characteristics

    as a short

    call position.

    The

    seller

    can

    only choose

    between

    liquidating

    his position

    before the

    puts

    are

    exercised

    or

    waiting

    for the buyer s

    actions.

    If he

    underlying

    futures

    price

    increases,

    the buyer

    would likely

    let the

    options expire

    because

    he

    wants

    the highest

    possible

    price. The seller

    then

    can decide.whether

    buying

    the

    puts

    back

    or

    letting

    them expire

    will result

    in igher

    returns.

    If he

    futures price

    decreases, the buyer

    would probably

    exercise

    the

    puts,

    resulting in he

    seller s

    assuming a long

    futures

    position at

    the strike price.

    However, the

    seller could

    also buy

    the

    puts back

    before they

    are exercised

    to

    alleviate

    entering the

    futures

    market.

    The

    procedures

    and

    outcomes

    involved

    in a

    short

    cash/short

    put position when

    the futures

    price increases

    and

    decreases

    are

    illustrated in

    xample 4 The option position

    will be

    offset

    in oth

    instances

    to insure consistency

    with

    previous

    examples.

    Part

    B

    of Example 4 shows

    that

    a

    positive

    return occurs

    when the

    underlying

    futures price decreases,

    and

    this

    return

    is qual

    to the

    premium

    of

    8

    cents. The merchant

    paid 30

    cents to buy the puts back

    because of

    the

    gain

    in ntrinsic

    value. In

    ontrast, the

    cost of

    liquidating

    the

    short put position

    in art A

    was

    risky

    because the

    option had

    no

    intrinsic

    or extrinsic value remaining.

    It is bvious

    that

    the reason

    the net

    result was negative

    in art A was

    because of

    the

    greater

    cash

    purchase

    price.

    However,

    if

    ptions

    had not been

    used at

    all,

    the

    net

    result

    would

    have been

    -40 cents.

    Conversely,

    the outcome

    in

    art

    B

    was positive

    because of the smaller

    cash price.

    Thus,

    a erchant

    selling

    put

    options

    with

    the intention

    of

    later

    buying them back accepts a theoretically unlimited

    amount of

    risk,

    while the return

    is imited to the premium.

    The

    premium can

    only

    be

    realized if he futures

    price remains relatively stable or

    decreases,

    however.

    Summary of Short Cash Position

    The last two

    examples have shown

    that

    a erchant

    or

    producer with a

    short cash position

    has

    two basic

    option

    strategies

    to

    choose from

    depending

    on his objectives.

    If

    his main objective

    is

    to

    lock in a

    ceiling

    price on the

    purchase

    of

    the grain call

    options should

    be

    bought. This

    tactic also permits the

    merchant

    to

    benefit from

    a

    decline

    in

    grain prices.

    Buying

    call

    options

    is

    preferable

    to traditional

    hedging i.e.

    buying

    futures

    if

    futures

    prices subsequently

    decline.

    If the

    main goal

    is

    to

    augment current

    income

    or margins

    and

    prices

    are

    expected

    to be

    relatively

    neutral

    or

    slightly bearish

    put options

  • 7/24/2019 Aplications Using Options

    20/50

    6

    EXAMPLE 4. SHORT

    CASH/SHORT PUTS

    Setting: September 3

    1984

    Sell

    20,000 Bushels

    @410

    December Futures

    8 ?

    Basis 30

    December 380

    Call 8?

    A.

    uy

    cash on November 1 at

    which

    time December futures

    increased

    to 420 .

    1. ption could be

    left

    to

    expire, or

    offset

    by

    seller

    2. Calculation

    of returns

    Return from cash sale

    410?

    Less purchase

    price

    -450

    Premium

    received

    8

    (Sept. 1

    Less

    purchase

    of

    put

    0

    Net Result

    32

    Effective Purchase Price

    442?

    B. uy

    cash

    on November

    1 at which

    time December futures

    decreased

    to

    350

    1. Buyer

    may

    exercise

    option, or

    seller may

    offset (buy

    back)

    2. Calculation

    of returns

    Return

    from

    cash sale

    410?

    Less purchase

    price

    -380

    Premium

    received

    8

    Less

    purchase

    of

    put 30

    Net Result 8?

    Effective Purchase

    Price 402?

    should

    be

    sold.

    The disadvantage

    of

    this procedure

    is hat

    if rices

    decrease

    and the

    options

    are

    exercised before

    they are

    offset,

    the seller

    will

    be

    required

    to take a long

    futures position

    at

    the strike

    price

    when

    the actual

    value

    is less.

    Again, the

    greatest

    difference

    between

    buying

    calls

    and

    selling

    puts is the

    risk level

    involved.

    Purchasing

    calls

    results

    in a limited

    risk the

    premium)

    and

    unlimited returns.

    Selling

    puts,

    on the other

    hand,

    is

    characterized

    by

    theoretically

    unlimited

    risk,

    with only

    limited

    returns

    the

    premium).

  • 7/24/2019 Aplications Using Options

    21/50

    7

    Forward

    Contracts

    With

    Floor

    and

    Ceiling

    Prices

    The

    options

    market

    has

    the

    possibility

    of

    giving

    a new

    dimension

    to

    forward

    contracts.

    Typically,

    forward

    contracts

    have

    been

    made

    by

    elevators

    to producers,

    by exporters

    to importers

    and

    by merchants

    to

    processors.

    In

    he past,

    these

    types

    of

    contracts

    have

    been

    implemented

    via the

    futures market.

    The

    result

    has been

    a

    forward contract

    with

    a

    fixed

    price.

    The disadvantage

    of

    this

    situation

    is

    hat

    a

    producer

    would

    be unable

    to benefit

    from

    a rise

    in rices

    or an

    importer

    unable

    to

    take

    advantage

    of

    a

    fall

    in

    rices.

    Agricultural

    options

    stand

    to change

    this

    scenario

    by making

    forward

    contracts

    more attractive

    to producers

    and end

    users.

    Merchants

    can

    offer

    a

    forward

    contract

    with

    a

    floor

    or ceiling

    price

    by

    incorporating

    the

    use

    of options.

    The logic

    behind

    this

    plan

    is

    asy

    to

    understand

    because

    it

    ollows

    from

    previous

    examples.

    For

    instance,

    an

    elevator

    can

    lock

    in a

    floor

    price

    for

    its

    own grain

    sale

    by purchasing

    put

    options

    and then

    pass

    this

    floor price

    on

    to producers

    through

    a forward

    contract.

    The cost

    of the

    put

    options,

    or the premium,

    would

    be included

    in

    alculating

    the

    producer s floor

    price.

    Likewise,

    a

    erchant

    can lock

    in a

    ceiling

    price

    on

    purchases

    by buying

    call options,

    which can

    then be

    passed

    on

    to end users

    via

    a orward

    contract.

    Once

    again,

    the

    ceiling

    price

    would

    reflect

    the

    exporter s

    cost

    of

    buying

    the calls.

    The

    mechanics

    of

    these

    transactions

    will be

    demonstrated

    later.

    A

    number

    of advantages

    to both

    merchants

    and their

    customers

    can

    be

    realized

    by incorporating

    options

    into

    forward

    contracts.

    The biggest

    advantage

    to

    producers

    and

    end

    users

    is hat they

    could

    lock in

    a floor

    or

    ceiling

    price

    and

    would

    be able to

    benefit

    from a

    favorable

    cash

    price

    move;

    with

    traditional

    forward

    contracts

    they

    would

    not. Furthermore,

    the

    new

    forward

    contract

    would

    permit

    individuals

    to take

    advantage

    of options

    indirectly through

    the

    merchant without

    being

    directly

    involved

    in

    he

    option market

    or

    understanding

    the mechanics

    themselves.

    Merchants

    will

    benefit

    from

    this

    new concept

    as long as

    their

    customers

    make

    use

    of the

    program.

    This is

    vident

    because

    the merchant s

    return

    is ependent

    on

    throughput.

    Consequently,

    one of

    the most

    important

    advantages

    of a for-

    ward

    contract based

    on options

    is hat

    it ffers

    another

    merchandising

    alternative

    and

    could

    stimulate

    additional

    grain

    handled.

    Specific

    examples

    of

    forward

    contracts with

    floor

    and

    ceiling prices

    are given

    below:

    Forward

    Contracts

    with

    Floor

    Prices:

    Forward

    purchase

    contracts

    have typically

    been

    made

    at

    fixed

    prices.

    One

    of

    the

    most

    common transactions

    with

    this

    type

    of

    contract

    is

    between

    an elevator

    and a producer.

    If the elevator

    is doing

    a good

    job

    of

    marketing through

    the futures market and

    reflects

    this

    in

    its

    forward

    contracts

    the producer

    need not become directly

    involved

    in

    the

    futures

    market.

    Part A

    of Example

    illustrates

    how an elevator

    calculates

    the

    traditional forward

    contract

    price and

    hedges in the

    futures

    market.

  • 7/24/2019 Aplications Using Options

    22/50

    -

    18

    -

    EXAMPLE

    5.

    DERIVATION OF FORWARD

    PRODUCERS) WITH PRICE FLOOR

    CONTRACTS

    FOR

    PURCHASE

    (I.E., TO

    Setting:

    September

    3,

    984

    December Futures

    Basis (Terminal Market)

    Trans.

    and

    Handling

    December

    380

    Put

    38 9

    9

    9

    A.

    Derivation

    of conventional

    forward contract

    price:

    selling December

    futures

    Calculation:

    December

    futures

    3809

    Basis

    +30

    Trans. and

    handling

    -50

    Producer Price

    3609

    Hedge

    by

    B.

    Derivation

    of forward

    contract

    prices

    options

    Calculation:

    Strike

    Price

    Basis

    Trans.

    and handling

    Less put premium

    Producer Price

    1. If

    a

    b

    with price floor

    380O

    30

    -50

    -8

    35 9

    December

    futures increase to 420

    by

    November

    1

    Option

    will

    not be

    exercised

    but

    will be offset

    Derivation

    of producer

    price:

    December

    futures

    Basis

    Trans.

    and

    handling

    Less

    option

    premium

    (Sept.

    3

    Plus

    option value

    (Nov. 1

    Producer Price

    4 9

    30

    50

    8

    0

    392

    December

    futures

    decrease to 350 by

    November 1

    Option

    can be

    exercise,

    or

    offset

    Derivation

    of producer

    price:

    December futures

    3509

    Basis

    30

    Trans.

    and

    handling

    -50

    ess option

    premium

    - 8

    Sept. 3

    Plus option premium

    Nov. 1

    Producer Price

    30

    352?

    Buy put

    2. If

    a

    b

    _ __

  • 7/24/2019 Aplications Using Options

    23/50

    9

    This type

    of contract

    allows

    the

    producer

    to

    lock

    in a

    sale

    price

    of

    3.60.

    The

    disadvantage

    of

    this

    contract

    is hat

    the

    producer

    cannot

    benefit

    from

    a

    rise

    in

    rices.

    The use

    of

    options

    will

    alleviate

    this problem.

    forward

    contract

    with

    a

    floor

    price

    can

    be

    offered

    if

    he

    merchant

    incorporates

    put

    options

    into the

    scheme. Part

    B

    of

    Example shows

    how this

    floor

    price

    is

    erived

    and

    the

    consequences

    of

    a

    change

    in

    the

    underlying

    futures

    price

    over

    time.

    It

    hould

    be

    noted

    in

    he

    following

    examples

    that,

    once

    again,

    the option

    positions

    are

    assumed

    to be offset.

    In his

    example,

    the

    merchant

    purchased

    at-the-money

    put

    options

    at

    a

    premium

    of 8

    cents.

    It

    is

    emonstrated

    that

    the floor

    price

    quoted

    to the

    farmer

    is

    ess than

    the

    flat

    forward

    contract

    price

    by

    the

    amount

    of this

    premium.

    Thus,

    the

    put

    premium

    will affect

    the

    attractiveness

    of

    the

    price

    floor

    contract.

    f the

    underlying

    futures

    price increased

    over

    the

    life

    of the

    contract,

    the

    merchant

    could

    either

    let the

    option

    expire

    or

    liquidate

    his

    position.

    It

    is

    ssumed

    the

    position

    is iquidated;

    however,

    there is

    o

    intrinsic

    or extrinsic

    value

    left

    in he

    option

    so the

    merchant does

    not receive

    a

    premium

    on the

    sale.

    The

    merchant

    does

    realize

    the greater

    future price,

    which

    is assed

    on

    to

    the pro-

    ducer.

    Consequently,

    the

    producer

    received

    3.92 with

    the

    price

    floor

    contract rather

    than

    3.60

    under

    the

    conventional

    forward

    contract.

    If he futures

    price

    decreased,

    the

    merchant

    could

    have

    exercised

    or

    offset

    the

    option.

    Once again,

    it

    is

    ffset.

    The

    merchant

    does

    receive

    a

    premium of 30

    cents

    on the sale

    in his

    case,

    because

    the

    option

    has

    gained intrinsic value.

    However,

    this

    is

    iscounted

    by

    the

    futures

    price

    decline. The

    end result

    is hat

    the producer

    realized

    the

    floor

    price.

    Forward

    Contracts

    With

    Ceiling

    Prices:

    Traditionally

    domestic and

    export

    merchants have

    offered forward

    sales

    contracts

    at

    fixed

    prices. The

    futures

    market is

    n important

    component

    in

    etermining

    the specific

    price.

    Part

    A

    of

    Example

    6

    demonstrates

    how

    the conventional

    forward

    price is

    erived

    and the

    appropriate futures position taken.

    This

    type

    of

    contract

    is

    appealing

    to buyers, such

    as importers,

    if

    hey can establish

    prices

    for deferred delivery.

    However

    by doing so,

    they

    do not benefit

    from

    price

    reductions.

    Options

    give

    merchants

    the opportunity

    to change

    the

    typical forward

    contract.

    A

    merchant

    could offer

    a forward

    sale

    contract

    with

    a

    ceiling

    price by purchasing

    call

    options.

    The

    mechanics

    are iden-

    tical to

    the earlier example

    of

    a

    merchant

    with a

    short

    cash

    posi-

    tion.

    By

    purchasing

    calls

    the

    merchant

    locks in a ceiling

    price

    and

    can

    pass

    this

    on to

    his

    customers

    via a

    forward

    contract.

    The

    only

  • 7/24/2019 Aplications Using Options

    24/50

    2

    EXAMPLE

    6. DERIVATION

    OF

    FORWARD CONTRACTS

    FOR SALE

    (E.G.,

    TO

    IMPORTERS)

    WITH PRICE CEILING

    Setting:

    September

    3, 984

    December

    Futures

    3809

    Basis (Terminal

    Market)

    30O

    Trans. and Handling

    50O

    December

    380

    Put

    A. Derivation

    of

    conventional forward contract

    price: Hedge

    by

    buying

    December futures

    Calculation:

    December

    futures 380O

    Basis +30

    Trans.

    and

    handling

    +50

    Offer

    Price

    460

    B. Derivation

    of

    forward

    prices

    with

    price

    ceiling:

    uy

    call

    options

    Calculation:

    Strike

    price

    3809

    Basis

    30

    Trans. and handling +50

    Less

    put

    premium + 8

    Offer

    Price

    468

    1. If ecember

    futures increase to 420

    by November 1

    a

    Option

    can

    be

    exercised or offset

    b

    Derivation of

    importer price:

    December

    futures

    420

    Basis

    30

    Trans. and handling

    +50

    Plus

    option

    premium + 8

    (Sept. 3

    Less option

    value

    -40

    (Nov. 1

    Effective Purchase

    Price

    468

    2. If ecember futures decrease

    to

    350

    by

    November 1

    a ption will not be

    exercised, but is ffset

    b Derivation

    of importer price:

    December futures 3509

    Basis

    30

    Trans

    and handling

    +50

    Plus

    option premium

    + 8

    Sept.

    3

    Less option

    premium 0

    Nov.

    1

    ffective

    Purchase

    Price 438B

  • 7/24/2019 Aplications Using Options

    25/50

    2

    stipulation

    is

    hat

    the cost

    of the calls

    is

    lso

    passed

    on

    to

    the

    customer,

    built

    in

    o the

    ceiling

    price.

    Importers,

    as

    well

    as other

    end

    users,

    should

    find

    this

    contract

    more

    appealing

    because

    they

    can

    still

    take

    advantage

    of

    a price

    decline,

    and

    it

    llows

    them to bene-

    fit

    from

    options

    without

    actually

    trading

    them.

    The

    calculation

    of

    the forward

    ceiling price

    is emonstrated

    in

    Part

    B

    of Example

    along

    with

    the results

    of

    an

    increase

    and

    decrease

    in

    he underlying

    futures

    price.

    The merchant

    bought

    at-

    the-money

    call

    options

    for

    a premium

    of 8

    cents.

    The ceiling

    price

    is

    hen

    greater

    than

    the

    flat

    price

    by

    the amount

    of

    this

    premium.

    If he

    underlying

    futures

    price

    increases,

    the merchant

    has

    two

    alternatives:

    exercise

    or

    offset

    the

    option.

    For

    the sake

    of con-

    sistency

    it is gain

    assumed

    that

    the calls

    are

    liquidated.

    The

    increase

    in

    he

    underlying

    futures

    price

    results

    in a gain

    in

    he

    option s

    intrinsic

    value,

    which

    is eflected

    in he

    40-cent

    premium

    earned

    on

    the

    call

    sale.

    This

    premium

    offsets

    the

    rise

    in

    he

    futures

    price

    and

    is

    assed

    on to the

    importer.

    Consequently,

    the

    price

    realized

    by the

    importer

    is

    qual

    to

    the

    ceiling

    price origi-

    nally

    quoted

    to

    him.

    If instead

    the futures

    price decreases,

    the merchant

    again

    has

    two

    possibilities:

    to

    let

    the option

    expire

    or

    offset

    his position;

    the

    latter

    was chosen

    here.

    The

    option s

    value drops

    to

    zero

    because

    of

    the

    decline

    in

    he futures

    price

    so no premium

    was

    recovered

    on the

    liquidation.

    However,

    because

    of

    the

    flexibility

    of

    options, the

    merchant is ble

    to

    pass

    the lower

    futures price

    on

    to the buyer.

    Thus,

    the

    buyer must

    decide

    if

    ocking

    in a

    ceiling

    price that

    is

    greater

    than a flat

    forward

    price

    is

    orth

    the

    benefits

    received.

    The

    conventional

    forward

    contract

    is

    ore

    beneficial

    if rices

    do

    rise,

    but isa riskier

    alternative.

    Summary

    of Forward

    Contracts

    A forward

    contract

    with

    a floor

    or ceiling

    price

    built-in

    is a

    new

    marketing

    concept,

    the

    success

    of

    which

    depends

    on

    the conceptual

    understanding

    by

    merchants,

    the premium

    values, and

    effective

    prices

    relative

    to farm programs

    prices.

    Country

    merchants

    can offer

    producers

    an

    array of

    marketing

    alternatives

    ranging

    from fixed

    price

    to various

    floor

    price

    contracts. Similarly,

    merchants could

    offer

    end

    users

    an array

    of

    marketing

    alternatives

    ranging

    from

    fixed price

    to various

    ceiling

    price

    contracts.

    The

    primary advantage

    of

    incorporating

    options

    into forward

    contracts

    is

    that both

    the

    customer

    and

    the

    merchant

    can lock

    in a

    floor

    or

    ceiling

    price, which

    not

    only allows

    the customer

    to

    benefit from

    options

    without

    direct involvement

    in

    the options

    market

    but

    also could attract

    business

    for the merchant.

    There are

    additional types

    of marketing

    situations

    in

    which merchants

    may incorporate

    options,

    but the

    fundamental

    positions

    will

    be

    similar.

    Specifically,

    traditional

    forward

    contracts

    have

    characteristics

    similar

    to no-price-established

    NPE) and

    basis

    contracts

    although

    the latter

    have ulterior

    advantages.

    Thus, options

    may

    also prove

    useful

    in

    augmenting

    other

    conventional

    marketing

    plans.

  • 7/24/2019 Aplications Using Options

    26/50

    Quantity

    Risk

    Another

    viable

    use

    of

    options

    is

    o hedge

    against

    quantity

    risk.

    Many

    merchants

    make

    cash

    transactions

    after

    the

    futures

    exchanges

    have

    closed

    and

    when the

    exact

    quantity

    is

    nknown.

    Consequently,

    there

    is isk

    between

    the

    cash

    transaction

    price

    and the

    next

    day's

    price

    when

    the

    hedge

    is laced.

    A solution

    to this

    problem

    would

    be

    to buy

    options.

    Another

    type

    of

    quantity

    risk

    is

    haracterized

    by

    a

    grain

    merchant's

    having

    ten-

    dered

    an offer

    to sell

    grain

    overseas

    but

    not

    knowing

    for

    several

    days

    whether

    the

    offer

    will

    be

    accepted.

    During

    this

    time

    the price

    of the

    com-

    modity

    could

    move

    up

    or down.

    If he

    exporter

    had

    hedged

    in

    he futures

    market

    by

    purchasing

    futures

    and

    the offer

    was

    rejected

    after

    the

    price

    of

    the

    commodity

    had

    fallen,

    the

    merchant

    would

    be subject

    to a

    loss in

    he

    futures

    market.

    By

    purchasing

    call

    options

    instead,

    the

    exporter

    would

    have

    ensured

    that

    if he offer

    was

    rejected,

    his

    loss would

    be limited

    to

    the

    premium.

    Producers

    are

    also

    exposed

    to quantity

    risk

    in reharvest

    hedging.

    Indeed,

    perhaps

    one

    of

    the

    hindrances

    detracting

    producer

    use

    of

    futures

    for

    hedging

    is

    uantity

    or yield

    risk.

    As

    an

    alternative,

    pro-

    ducers

    could

    use

    options

    as a hedge,

    which

    in ome

    cases

    is

    ore approriate

    when

    quantity

    risk

    exists.

    The

    examples

    below

    illustrate

    the

    mechanics

    of the use

    of

    options

    where quantity

    risk

    exists

    and are

    referred

    to

    as Overnight

    Transactions.

    Overnight

    Transactions

    Example

    demonstrates

    the

    mechanics

    of

    an overnight

    transaction.

    The main

    feature

    of

    this

    example

    is

    a merchant's

    making

    an offer,

    which remains

    valid for

    five

    days,

    to sell grain

    at

    $4.10

    per

    bushel.

    To hedge

    this

    tender,

    the

    merchant

    buys

    at-the-money

    call options

    at

    a

    premium

    of 8

    cents.

    The

    merchant

    does this

    because

    he

    wants

    to

    establish

    a ceiling

    price

    so that

    if

    he offer

    is

    ccepted

    and prices

    rise,

    he

    can

    still

    profit.

    Likewise,

    he

    wants

    to limit

    his losses

    if

    the

    offer

    is

    ejected

    and

    prices

    fall. Whether

    the

    offer

    is ccepted

    or rejected,

    however, the returns

    will depend

    on

    the

    movement

    of the

    underlying

    futures

    price.

    Scenarios

    are then

    given

    for offers

    that

    are

    accepted

    and rejected.

    Part

    A

    of Example

    illustrates

    that if

    he offer

    is

    ccepted,

    the

    merchant

    effectively

    has a short

    cash/long

    call

    position. Therefore,

    the

    returns

    realized

    when the

    underlying futures

    price

    increases

    and

    decreases

    can

    be calculated

    using

    the same mechanics

    as in

    revious

    short

    cash/long

    call

    examples.

    Part

    B shows the

    effects

    of

    a

    futures

    price

    increase

    and

    decrease

    when

    the

    offer

    is

    rejected.

    It is

    apparent

    that the greatest

    return