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Single Stock Option’s
                 Seminar

Part I   Option Trading Overview
                   By Steve D. Chang   Morgan Stanley Dean Witter


Part II Volatility Trading Concept and Application
                   By Charles Chiang          Deutsche Bank A.G.




                                                                    1
Options Trading Overview

          By Steve Chang




                           2
Introduction
   Steve Chang
    Equity Derivatives Trader at
    Morgan Stanley




                            3
Topics of Discussion
   Basic on Options
   Overview on Greeks
   Volatility
   Why using options?
   Impact to TSE
   Trading Strategies
   Buy/Sell Greeks
   Scenario analysis
   Q&A
                         4
Basics on Options
   Call – give the holder the right to buy the
    stock by a certain date for certain price
   Put – give the holder the right to sell the
    stock by a certain date for certain price
   Premium - cost of options (call or put)
   Strike price - the price at which an option
    contract gives the holder the right to
    buy/sell

                                  5
Basics on Options
   Expiration date - final date options can be
    exercised

   Volatility – risk factor of an option that determines
    the premium (40 vol = 2.5% intraday gap)

   American options - options can be exercised
    before expiry

   European options - options can only be
    exercised at expiry

                                        6
Overview on Greeks
   Delta – rate of change of option’s price
    w/ change in underlying asset, usually
    short dated ATM call/put has ~0.5 delta

   Gamma - rate of change of delta w/ the
    change in underlying asset, usually
    quoted in % term (+$1mn gamma, mkt
    +3%, +$3mn delta)


                                 7
Overview on Greeks
   Kappa (vega) - rate of change of option’s
    price with change in volatility.

   Theta – rate of change of option’s price
    with change in time, the price of
    gamma/kappa

   Rho – rate of change of option’s price
    with change in interest rate

                                 8
Volatility
   Higher the vol, higher the premium
     2mth 100% call at 40% vol ~ 6.75% (0
      div, 1.82% Rfr)
     2mth 100% call at 70% vol ~ 11.65%

   Market implied vol vs. asset vol
     Implied usually higher than asset
      (Hang Seng, S&P)
     Implied vol at 40% -> 2.5% gap

      risk

                              9
Volatility – 2330




                    10
Volatility – 1310




                    11
Volatility – 2882




                    12
Why using Options?
   Leverage/ gearing effect (like warrants)
   Reinforce stop-loss concept when buying
   Income enhance when selling
   Portfolio hedge for PMs
   Short access to single stock names (+P,
    -C)
   Long access to single stock w/o showing
    broker identity



                               13
Impact to TSE
   More participation from retails
    investors
   Enhance market liquidity with delta
    hedge
   Stock lending system needs to be
    developed
   Stock lending can increase market
    liquidity thru long/short pair trading
   Limit-up/limit-down 7% structure

                              14
Trading Strategies
   Buy downside put as insurance when
    long stocks
   Sell upside call to collect premium when
    upside is limited
   Buy call spread expecting limited upside
   Buy put spread expecting limited
    downside
   Buy strangle or straddle expecting
    volatility ahead
   Synthetic short – buy put sell call
   Most PMs buy options not sell
                                15
Trading Strategies
Buy call option
     Expecting more upside




                              16
Trading Strategies
Sell put option
 Expecting limited downside




                         17
Trading Strategies
Buy call spread
   When?
       Expecting more upside, reduce prem by
        giving up some upside
   For Example:
       you buy 100/120 call spread – buy 100%
        call, sell 120% call
   Max upside = 120 – 100 – prem(%)
   Max downside = premium you paid
   Sell call spread – vice versa


                                 18
Trading Strategies
Buy put spread
   When?
      Expecting more down, reduce
       premium by giving up some downside
       protection
   For example:
      Buy 100/90 put spread – buy 100%
       put, sell 90% put
   Max upside = 100 – 90 – prem(%)
   Max downside = prem you paid
   Sell put spread – vice versa
                             19
Trading Strategies
Buy Straddle
   Buy both ATM call and put
   Max gain: unlimited
   Max loss: time decay (theta)
   Buy gamma and kappa, pay theta
   Short dated straddle – buy more
    gamma
   Long dated straddle – buy more
    kappa
   Sell straddle – vice versa
                          20
Trading Strategies
Buy strangle
   Buy both OTM call and put
   Max gain: unlimited
   Max loss: time decay, theta
   You buy gamma and kappa, earn theta
   Short dated strangle – buy more gamma
   Long dated strangle – buy more kappa
   Diversify your risk comparing to straddle
    and cheaper
   Long straddle – vice versa


                                21
Buy/sell Greeks
   Buy delta
     Buy spot (ie, future or stocks)

     Buy call

     Sell put


   Sell delta – vice versa




                              22
Buy/sell Greeks
   Buy gamma
     Buy call or put

     Short dated options give you

      more gamma
     ATM options give you more

      gamma
   Sell gamma – vice versa

                           23
Buy/sell Greeks
   Buy Kappa
     Buy call or put

     Long dated options give you

      more kappa
     ATM options give you more

      kappa
   Sell kappa – vice versa

                              24
Buy/sell Greeks
   Long theta (receive time decay)
     Sell call or put
     Short dated options give you more
      theta (in the expense of short more
      gamma)
     ATM options give you more theta

   Sell theta – vice versa
   Buy/sell Rho – N/A for Taiwan,
    usually hedged by eurodollar
    futures or swaps

                               25
Scenario Analysis
   If you have $1mn to buy a stock ($100). Option
    vs. stock strategy? (assume no funding cost)
   Buy 10k at $100, +30% after 2mth, PnL = $300k
   If you buy 10k of 2mth $100 strike call paying 7%
    or $70k (40%vol)
   If stock +30% in 2mth, then you have the right to
    buy 10k shares at $100 which will give you the
    PnL of $230k ($300k – $70k) …also less funding.
   Max loss using option is $70k, but loss is
    unlimited buying stocks
   If you spend $1mn on option, PnL = $3.3mn =
    $1mn/7%*(30%-7%)

                                       26
Scenario Analysis
   If you are long $2mn gamma on a
    stock, then stocks –28% thru 4
    days of limit-down…what would be
    your payout?
   $2mn*28 = 56mn you are short
    US$28mn which you may cover
    @28% discount.
   PnL impact:
    28mn/2*28%=$7.84mn

                          27
Q&A




      28

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910717 2

  • 1. Single Stock Option’s Seminar Part I Option Trading Overview By Steve D. Chang Morgan Stanley Dean Witter Part II Volatility Trading Concept and Application By Charles Chiang Deutsche Bank A.G. 1
  • 2. Options Trading Overview By Steve Chang 2
  • 3. Introduction  Steve Chang Equity Derivatives Trader at Morgan Stanley 3
  • 4. Topics of Discussion  Basic on Options  Overview on Greeks  Volatility  Why using options?  Impact to TSE  Trading Strategies  Buy/Sell Greeks  Scenario analysis  Q&A 4
  • 5. Basics on Options  Call – give the holder the right to buy the stock by a certain date for certain price  Put – give the holder the right to sell the stock by a certain date for certain price  Premium - cost of options (call or put)  Strike price - the price at which an option contract gives the holder the right to buy/sell 5
  • 6. Basics on Options  Expiration date - final date options can be exercised  Volatility – risk factor of an option that determines the premium (40 vol = 2.5% intraday gap)  American options - options can be exercised before expiry  European options - options can only be exercised at expiry 6
  • 7. Overview on Greeks  Delta – rate of change of option’s price w/ change in underlying asset, usually short dated ATM call/put has ~0.5 delta  Gamma - rate of change of delta w/ the change in underlying asset, usually quoted in % term (+$1mn gamma, mkt +3%, +$3mn delta) 7
  • 8. Overview on Greeks  Kappa (vega) - rate of change of option’s price with change in volatility.  Theta – rate of change of option’s price with change in time, the price of gamma/kappa  Rho – rate of change of option’s price with change in interest rate 8
  • 9. Volatility  Higher the vol, higher the premium  2mth 100% call at 40% vol ~ 6.75% (0 div, 1.82% Rfr)  2mth 100% call at 70% vol ~ 11.65%  Market implied vol vs. asset vol  Implied usually higher than asset (Hang Seng, S&P)  Implied vol at 40% -> 2.5% gap risk 9
  • 13. Why using Options?  Leverage/ gearing effect (like warrants)  Reinforce stop-loss concept when buying  Income enhance when selling  Portfolio hedge for PMs  Short access to single stock names (+P, -C)  Long access to single stock w/o showing broker identity 13
  • 14. Impact to TSE  More participation from retails investors  Enhance market liquidity with delta hedge  Stock lending system needs to be developed  Stock lending can increase market liquidity thru long/short pair trading  Limit-up/limit-down 7% structure 14
  • 15. Trading Strategies  Buy downside put as insurance when long stocks  Sell upside call to collect premium when upside is limited  Buy call spread expecting limited upside  Buy put spread expecting limited downside  Buy strangle or straddle expecting volatility ahead  Synthetic short – buy put sell call  Most PMs buy options not sell 15
  • 16. Trading Strategies Buy call option  Expecting more upside 16
  • 17. Trading Strategies Sell put option  Expecting limited downside 17
  • 18. Trading Strategies Buy call spread  When?  Expecting more upside, reduce prem by giving up some upside  For Example:  you buy 100/120 call spread – buy 100% call, sell 120% call  Max upside = 120 – 100 – prem(%)  Max downside = premium you paid  Sell call spread – vice versa 18
  • 19. Trading Strategies Buy put spread  When?  Expecting more down, reduce premium by giving up some downside protection  For example:  Buy 100/90 put spread – buy 100% put, sell 90% put  Max upside = 100 – 90 – prem(%)  Max downside = prem you paid  Sell put spread – vice versa 19
  • 20. Trading Strategies Buy Straddle  Buy both ATM call and put  Max gain: unlimited  Max loss: time decay (theta)  Buy gamma and kappa, pay theta  Short dated straddle – buy more gamma  Long dated straddle – buy more kappa  Sell straddle – vice versa 20
  • 21. Trading Strategies Buy strangle  Buy both OTM call and put  Max gain: unlimited  Max loss: time decay, theta  You buy gamma and kappa, earn theta  Short dated strangle – buy more gamma  Long dated strangle – buy more kappa  Diversify your risk comparing to straddle and cheaper  Long straddle – vice versa 21
  • 22. Buy/sell Greeks  Buy delta  Buy spot (ie, future or stocks)  Buy call  Sell put  Sell delta – vice versa 22
  • 23. Buy/sell Greeks  Buy gamma  Buy call or put  Short dated options give you more gamma  ATM options give you more gamma  Sell gamma – vice versa 23
  • 24. Buy/sell Greeks  Buy Kappa  Buy call or put  Long dated options give you more kappa  ATM options give you more kappa  Sell kappa – vice versa 24
  • 25. Buy/sell Greeks  Long theta (receive time decay)  Sell call or put  Short dated options give you more theta (in the expense of short more gamma)  ATM options give you more theta  Sell theta – vice versa  Buy/sell Rho – N/A for Taiwan, usually hedged by eurodollar futures or swaps 25
  • 26. Scenario Analysis  If you have $1mn to buy a stock ($100). Option vs. stock strategy? (assume no funding cost)  Buy 10k at $100, +30% after 2mth, PnL = $300k  If you buy 10k of 2mth $100 strike call paying 7% or $70k (40%vol)  If stock +30% in 2mth, then you have the right to buy 10k shares at $100 which will give you the PnL of $230k ($300k – $70k) …also less funding.  Max loss using option is $70k, but loss is unlimited buying stocks  If you spend $1mn on option, PnL = $3.3mn = $1mn/7%*(30%-7%) 26
  • 27. Scenario Analysis  If you are long $2mn gamma on a stock, then stocks –28% thru 4 days of limit-down…what would be your payout?  $2mn*28 = 56mn you are short US$28mn which you may cover @28% discount.  PnL impact: 28mn/2*28%=$7.84mn 27
  • 28. Q&A 28