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    Options

    Tnno Vhk

    October 12th 2005, Vilnius

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    Options are not for everyone!

    Have you ever traded shares? Do you make your own investment decisions?

    Can you act quickly in the market?

    Do you follow market more than just closing prices?

    Do you know anything about technical and fundamentalanalysis?

    Do you have basic mathematical skills?

    Good stock traders are also successful in options!

    More opportunities, bigger return and smaller risk!

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    What are we talking about?

    Basic option theory and terminology

    Factors affecting option price and pricing of options

    Time value

    Volatility

    Delta

    Dividends

    How to start trading?

    How to get information?

    How to measure risks?

    How to formulate strategy?

    Exercises and examples

    Inefficiencies and opportunities in the market

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    Complex and risky?

    Complexity is in terminology!

    Lack of knowledge is a big threat

    Risks are easier to control and often smaller than with shares

    Options expire, shares and bonds dont

    Knowledge, strategy and discipline are necessary!

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    What is an option?

    An option is part of a class of securities called derivatives

    They derive their value from the worth of an underlying investment

    The right (but not the obligation) to buy or sell securities at

    a given price before a given date

    o Right to buy (CALL) or right to sell (PUT)

    o EXERCISE PRICE or STRIKE given price for future transaction

    o UNDERLYING any asset or security

    o MATURITY DATE, EXPIRY DATE time when option ends

    o PREMIUM - Option price

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    Terminology

    1 option = contract on 100 shares

    Option premium per one share or total

    premium

    Exercise vs selling option to market

    Option style: American or Europeano American options can be exercised

    always during the life of the option!

    o European options can be exercised only

    at the Maturity Date! Option buyer and Option seller (writer)

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    Option Price or Premium

    Share price today - 100

    Call (right to buy) with Strike price 70

    What is it worth today?

    o 30 is the option price if we need to decide now

    Put (right to sell) with Strike price 110, 80

    What is it worth today?

    Call at 100, 200

    What is it worth today?

    This is the INTRINSIC VALUE of the option!

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    ITM, ATM, OTM

    In the money - ITM

    o STRIKE is more favourable to the option holder than marketprice of the share

    o Intrinsic value is positive

    At the money - ATM

    o STRIKE = Market price of the shareo Intrinsic value is 0

    Out of the money - OTM

    o STRIKE is less favourable to the option holder than market

    price of the shareo Intrinsic value is 0

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    Payoff diagram Stock Position

    pikk aktsia positsioon

    -50

    -25

    0

    25

    50

    0 50 100 150 200

    Hind

    Kasu

    m

    aktsia

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    Payoff Diagram Call Option

    pikk positsioon ostuoptsioonis

    -50

    -25

    0

    25

    50

    0 50 100 150 200

    Hind

    Kasum

    ostuoptsioon

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    What if we dont have to decide today?

    Share price at market 100

    Call option with Strike Price 70

    Maturity 5 days from today what is it worth?

    But if Strike is 90, 100?

    Option has obviously additional value as share price might move!

    Intrinsic value does not change

    Time Value emerges!

    Time Value = Premium Intrinsic Value

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    Time Value

    Time Value decreases as the Time to Maturity decreases Time Value depends on the probability that Option is ITM when it

    expires

    Time Value is largest when uncertainty is largest with ATM options

    Time Value also depends on how much the share price moves The bigger the VOLATILITY the more you can win with the option

    and the bigger the Time Value

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    Time Value decreases as Time to Maturity decreases!

    ajavrtus

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    020406080100

    time value

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    Time Value

    -10

    0

    10

    20

    30

    40

    50

    60

    30 40 50 60 70 80 90 100 110 120 130 1 40 150 160

    Aktsia turuhind

    Optsioonipreemia

    Optsiooni preemia ajavrtusega T=3 kuud

    Optsiooni vrtus lppthtpeval

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    Theta

    Theta is the change in the price of an option for a 1-day decrease

    in the time remaining to expiration Theta is almost always negative time is the option buyers

    enemy!

    Time Value drops fastest during the last 30 days and for ATM

    options

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    Theta Exercise

    ETL11P117.5 today Oct 12th, 1.87 kroons

    Share price 119, implied volatility 18%

    What will the premium of the option be in 3 weeks time if the

    share price and volatility will not change?

    1.11 time value has declined by 0.76 Nov 18th 37 from now

    with 21 days the Time value drops about 41%

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    Factors affecting Option Premium

    CALL or PUT SHARE PRICE

    STRIKE

    MATURITY DATE

    VOLATILITY INTEREST RATE

    DIVIDENDS

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    Volatility

    Why is volatility so important?o All the other inputs are fixed and given

    o By trading options you are trading actually volatility

    o Volatility reflects markets opinion about the share price

    movements in the future!o Volatility determines the Time Value!

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    Historical vs Implied Volatility

    Historical reflects history!

    Historical is calculated from historical share price movements

    It may not be the best indicator for future

    Still often gives us a guideline about what to expect

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    Historical Volatilities

    Implied volatilities: ETL 18%, TV 20%, MZN 40%

    30 day historical volatility

    0,0%

    10,0%20,0%

    30,0%

    40,0%

    50,0%

    60,0%

    70,0%

    11.1

    0.2

    005

    19.0

    9.2

    005

    26.0

    8.2

    005

    4.0

    8.2

    005

    13.0

    7.2

    005

    21.0

    6.2

    005

    30.0

    5.2

    005

    6.0

    5.2

    005

    14.0

    4.2

    005

    23.0

    3.2

    005

    28.0

    2.2

    005

    4.0

    2.2

    005

    13.0

    1.2

    005

    22.1

    2.2

    004

    30.1

    1.2

    004

    ETL

    TV

    MZN

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    Option Price Movement

    If there is any Time Value in the Option Price then it nevermoves 1:1 to share price but always LESS!

    Option Price moves according to the PROBALITY of being In-

    The-Money at Maturity!

    That probability is called DELTA

    o Share Price 100

    o Strike 100

    o Option Premium 5

    o Delta?o Share Price 100 -> 101, how much Premium changes?

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    Delta

    Delta is the change in the option value for every point change in

    the stock price Long stock position: delta 1.0

    Short stock position: delta -1.0

    Deeply ITM PUT

    o Bought: delta 1

    o Sold: delta 1

    Deeply ITM CALL

    o Bought: delta 1

    o Sold: delta 1

    Deeply OTM Options DELTA = 0

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    Delta Exercise

    Investor has today Oct 12th, 30 contracts of LTL10C2.7

    Share price today 2.73, implied volatility 30%

    What is the delta of this option? Premium?

    Delta is 0.61 and premium 6.98 cents

    Share price rises to 2.75 tomorrow, what is premium then?

    7.97 (if it rose today then 8.26), new delta 0.68

    How big is gamma??

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    How do dividends affect the price of the option?

    Dividends are only for shareholders!

    Call option owner does not get dividends, he has to exercise

    option before the ex-date to get dividends

    Put option holder would be stupid to exercise before the

    dividends

    Option price in the market reflects its value so you can always

    sell the option back instead of exercising

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    Put Option

    Time to Maturity: 2 weeks

    Share Price: 100 Litas

    Strike: 150 Litas

    Dividends: 10 Litas in 1 week

    European type what is price?

    American type what is price?

    European=American=c.a. 60 Litas

    What if dividends are not known?

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    Call Option

    Time to Maturity: 2 weeks

    Share Price: 100 Litas

    Strike: 50 Litas

    Dividends: 10 Litas in 1 week

    European type what is price?

    American type what is price?

    European=40 and American=50 Litas

    Right to exercise earlier becomes veryvaluable!

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    Dividends

    For European option holder the effective share price is always:

    o Share price in the market minus dividends during the life of the

    option

    Same situation is with American Put as the early exercise right is

    worthless

    But American Call owner has a choice and the answer is not always

    clear!

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    American Call

    Time to Maturity: 3 months Share Price: 100 Litas

    Strike: 95 Litas

    Dividends: 3 Litas tomorrow (EX-DATE)

    What to do? To exercise today or not??

    A: exercise value 5 Litas

    B: no exercise value ? Litas

    ? = c(share price 97, strike 95, TTM 3 months) = 7-8 LTL?

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    American Call

    Owner actually can choose the more valuable between two

    options:

    o American Call till dividends

    o European Call till Maturity

    Pricing is complicated

    o Easy method: look which is more valueable now

    o Analytical formula: Roll-Geske-Whaley

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    Dividend Exercise

    It is 20.04.2006, a day before options Friday

    MZN price is 21 Litas in the market and 21.04.2006 is EX-DATE

    Dividends are 0.4 Litas

    Investor has MZN4C20.5, MZN5C21, MZN6C20.5, MZN5P21.5

    American options

    What should we do with them today?

    Hint: MZN5C20.5 trades at 0.63 Litas in the market

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    How to start?

    Get basic knowledge!

    Observe market price movements!

    Analyse underlying!

    Understand all the risks involved!

    Determine your strategy, aim and risk limits!

    Determine the investment amount according to your risk limits!

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    Basics

    Terminology

    Option parameters

    Price determining factors

    Payoff diagrams

    Time Value and Theta

    Historical and Implied Volatility

    Delta and its dynamics

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    Market and Prices

    How to find and read prices?

    LHV Investor main page

    o Enter Stock Symbol and pick Options

    EBAY:

    EBAY Call Oct05- 40XBAJH

    o First 3 letters is stock symbol

    o Forth is period and Call-Put

    o Fifth is Strike

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    Examples of Use

    Investor believes the rise of the share price in long term but

    considers the risks too big He buys 1 year ATM call (leap) Investor believes the rise of the share price but is afraid of short

    term fall of the market due to external risks He buys 3 month

    ATM call or buys share and 3 month put

    Investor owns a share that is not traded very actively and isstable. He thinks the rise in the next half a year will not be more

    than 5-10% but he does not want to sell the stock He sells 10%OTM Covered Call and pledges the shares as collateral

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    Examples of Use

    Investor is convinced that share that trades at 53 can not fall below

    50 (e.g. BV) and he would be happy to buy at 50 He sells 3 monthPut at Strike 50 and places deposit (margin) as colleteral

    Investor foresees big jumps in share price in the near future due to

    important news coming out He buys 1-2 month Straddle or

    Strangle

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    Underlying

    The same factors that affect share price affect also option price

    Fundamental analysis

    Volatility

    Management

    Dividends

    Profit history

    Technical analysis especially in short term perspective

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    Make risks certain!

    Share price does not move in the right direction or moves too little

    You will be short of time

    Sold option will be exercised

    Volatility moves in wrong direction

    Trading with share will be stopped

    Technological risks

    Dividends

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    To sell back earlier or hold till end?

    What this decision will be based at? Minimal profit/maximal loss?

    What is the return on the trade?

    Where is Break-even?

    What kind of options to buy and why?

    How much cash to invest?

    How big part of the portfolio into the trade?

    Are the specific risks acceptable?

    Strategy

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    Risk Limits and Goals

    What kind of investor are you today and which in the future?

    Risk tolerance levelo How much capital do you have? How much can you put under

    risk?

    o Personal factors age, income, debt burden

    o Investment experienceo Personal goals yearly return, pension insurance, inflation

    cover, short term profit...

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    Criteria of Successful Investing

    Patience

    Perseverance Knowledge

    Honesty dont cheat yourself and accuse the others

    Planning strategy

    Discipline follow the rules you have set, use experience, dont

    deviate from plan!

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    Threats and Recommendations

    It is easy to see opportunities but they are always accompanied

    by risks Greed and inablitity to decide are biggest problems

    Dont count on unrealized profit take profit!

    Exotic combinations are good for learning but not for real trading

    use

    When return is limited is it worth the risk?

    Draw payoff diagramm risk profile

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    How to pick an option?

    What is the motive of the trade? (leverage, risk reduction)

    Which Strike?o Which gives the best return when the vision is right?

    How much time value?

    o As little as possible when you know the movement!

    Which period?

    o Little extra!

    How big leverage, how big risk?

    o The bigger the leverage the greater the threat to lose moneyo Find opportunities and inefficiencies in prices!

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    What to do with bought option?

    What to follow?

    o It is often enough to follow share price (spread, liquidity,volatility)

    When to sell back?

    o When vision has realized or situation changed!

    o Limit orders good to use to minimize liquitity risk To exercise or sell back?

    o Rather sell back!

    What to do at the end?

    o Selling back or cash settlemento If no intention to exercise then select cash settlement in

    Portfolio overview

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    How to benefit from options?

    Leverage

    Hedging risks Planning future share transaction

    Insuring profit

    Enhancing return of the portfolio

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    Options with small time value are cheap!

    Very short options are cheap! Buy on Monday/sell on Friday!

    Buy in the morning/sell in the evening!

    Market reacts slowly, volatilities change slowly, fast reaction

    guarantees success

    Liquidity often better in options than in underlying

    Risk/return ratio often very good

    Opportunities in Prices

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    Options in LHV

    Tnno Vhk [email protected], 6 800 447

    Mihkel Oja [email protected], 6 800 446 Kristjan Lepik [email protected], 6 800 440