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INTRODUCTION TO
   DERIVATIVES
   BY: NILIMA DAS
GOLD CONTENT:50gms
AGREEMENT
      Date:1st Jan 2008
Three month after
words I will sell to
Mr. BISWO 50 gm 22ct
gold @14,000 per
10gm.
          Signature
Define a derivative?
• A derivative is an instrument whose value is
  derived from, and therefore, depends upon, the
  value of some underlying asset or factor.
What kind of underlying assets are
   derivatives generally available on?
Common underlying assets for derivatives are:
• Equity Shares
• Equity Indices
• Debt Market Securities
• Interest Rates
• Foreign Exchange
• Commodities
• Derivatives themselves etc.
Differentiate between Exchange-traded
            and over-the-counter derivatives
•   Exchange-traded derivatives are contracts
    that trade on an organized exchange.
•    Contracts can be bought and sold any time
     the exchange is open.
•    The contracts have standardized terms set
     by the exchange or the clearinghouse.
•    Prices are publicly available.
Differentiate between Exchange-traded and
        over-the-counter derivatives
• Over-the-counter derivatives result from
  agreements between two parties.
• The parties can negotiate contract terms that
  are mutually acceptable.
• Contracts can be terminated only with the
  agreement of the other party.
• Prices are not available
Players in the derivatives
              market?
• Hedgers
• Speculators
• Arbitrageurs
HEDGER
• A hedge is a position taken in futures for the
  purpose of reducing exposure to one or more
  types of risk.
• The hedging strategy can be undertaken in all
  the markets like futures, forwards, options,
  SWAP etc.
SPECULATOR
• Speculators use derivatives to bet on the future
    direction of the markets. Their objective is to gain
    when the prices move as per their expectation.
• 3 types based on duration
iii.SCALPERS – hold for very short time (in minutes)
iv.DAY TRADERS- one trading day
v. POSITION TRADERS- long period (week, month, a
    year).
ARBITRAGEURS
• Arbitrageurs try to make risk-less profit by
  simultaneously entering in to transactions in
  two or more market.
• Arbitrageurs assist in proper price discovery
  and correct price abnormalities.
What role does each person
 play in the derivatives market?
• Speculators provide liquidity and volume to the
  market.
• Hedgers provide depth.
• Arbitrageurs assist in proper price discovery and
  correct price abnormalities.
• Speculators are willing to take risks.
• Hedgers want to give away risks (generally to the
  speculators
Types of derivatives
• Standardised derivatives
• Exotic derivatives
Types of derivatives
• Standardised derivatives are as specified by
  exchanges and have simple standard features. These
  are also called vanilla derivatives or plain vanilla
  derivatives.

• Exotic derivatives have many non-standard features,
  which might appeal to special classes of investors.
  These are generally not exchange traded and are
  structured between parties on their own.
Standardised derivatives

• Futures
• Options
• Swaps
Exotic derivatives
• FORWARD CONTRACT
Forward contracts
• A forward contract is an agreement to buy or sell an
  asset on a specified date for a specified price. .
Essential features of a forward
          contract-----
• Contract between two parties (without any exchange between
  them)
• Price decided today
• Quantity decided today (can be based on convenience of the
  parties)
• Quality decided today (can be based on convenience of the
  parties)
• Settlement will take place sometime in future (can be based on
  convenience of the parties)
• No margins are generally payable by any of the parties to the
  other
Essential features of a forward
          contract-----
• They are bilateral contracts and hence exposed to
  counter-party risk.
• Each contract is custom designed, and hence is unique
  in terms of contract size, expiration date and
  the asset type and quality.
• The contract price is generally not available in public
  domain.
• On the expiration date, the contract has to be settled by
  delivery of the asset.
Limitations of forward
             markets
• Lack of centralization of trading
• Illiquidity
• Counterparty risk
Futures
• Futures markets were designed to solve the
  problems that exist in forward markets .
• A futures contract is an agreement between
  two parties to buy or sell an asset at a certain
  time in the future at a certain price.
• But unlike forward contracts, the futures
  contracts are standardized and exchange
  traded.
Futures---
•    To facilitate liquidity in the futures contracts, the
     exchange specifies certain standard features of the
     contract .
•    The standardized items in a futures contract are:
3.   Quantity of the underlying
4.   Quality of the underlying
•    A futures contract may be offset prior to maturity by
     entering into an equal and opposite transaction. More
     than 99% of futures transactions are offset this way
Essential features of a Futures
                contract
• Contract between two parties through an exchange
• Exchange is the legal counterparty to both parties
• Price decided today
• Quantity decided today (quantities have to be in
  standard denominations specified by the exchange)
• Quality decided today (quality should be as per the
  specifications decided by the exchange)
Essential features of a Futures
             contract
• Tick size- the minimum amount is decided by the
  Exchange.
• Striking price- the price of the underlying asset
  specified in the contract.(delivery price)
• Delivery will take place in future &expiry date is
  specified by the exchange.
• Margins are payable by both the parties to the
  exchange
• the price limits can be decided by the exchange
Distinction between futures and
            forwards
    Forwards                 Futures
 OTC in nature       Trade on an organized
                     exchange
 Customized contract Standardized contract
 terms               terms
 Hence less liquid   Hence more liquid
 No margin payment Requires margin
                     payments
 Settlement happens Follows daily settlement
 at end of period
Do Futures suffer from any
              limitation?
•   Futures suffer from lack of flexibility. Suppose you want to buy 103 shares
    of Satyam for a future delivery date of 14th February, you cannot.

•   The exchange will have standardized specifications for each contract.
    Thus, you may find that you can buy Satyam futures in lots of 1,200 only.
    You may find that expiry date will be the last Thursday of every month.

•   Thus, while forwards can be structured according to the convenience of
    the trading parties involved, futures specifications are standardized by the
    exchange.
What is the meaning of expiry
          of Futures?
• Futures contracts will expire on a certain pre-
  specified date. In India, futures contracts expire on
  the last Thursday of every month. For example, a
  February Futures contract will expire on the last
  Thursday of February. In this case, February is
  referred to as the Contract month.
• If the last Thursday is a holiday, Futures and Options
  will expire on the previous working day.
• On expiry, all contracts will be compulsorily settled.
• Settlement can be effected in cash or through
  delivery.
What does Cash Settlement
            mean?
• Cash Settlement means settlement by payment/receipt
  in cash of the difference between the contracted price
  and the closing price (spot price) of the underlying on
  the expiry day.

• In the Cash settled system, you can buy and sell
  Futures on stocks without holding the stocks at any
  time.

• For example, to buy and sell Futures on Satyam, you
  do not have to hold Satyam shares
What does Delivery based
         Settlement mean?
• In Delivery based Settlement, the seller of Futures delivers to
  the Buyer (through the exchange) the physical shares, on the
  expiry day.
• For example, if you have bought 1,200 Satyam Futures at Rs
  250 each, then you will (on the day of expiry) get 1,200
  Shares of Satyam at the contracted Futures price of Rs 250. It
  might happen that on the day of expiry, Satyam was actually
  quoting at Rs 280. In that case, you would still get Satyam at
  Rs 250, effectively generating a profit of Rs 30 for you.
What is the Current System in
             India?
• Currently in India 99.9% Futures transactions
  are settled in Cash.
• It is widely expected that we will move to a
  physical delivery system soon.
• However, Index based Futures and options
  will continue to be based on Cash Settlement
  system.
How many month Futures are
    available at any point of time?
• Exchanges have currently introduced three series in
  Futures and Options. For example during the month
  of February on any day on or before last Thursday,
  you will find three Series available viz. February,
  March and April.
• The February Series will expire on the last Thursday
  of February.
• On the next working day, the May Series will open.
  Thus, on a rolling basis, three Series will be made
  available
Futures: Concluding Remark
• In a forward or futures contract, the two
  parties have committed themselves to doing
  something.
• It costs nothing except margin requirements)
  to enter into a futures contract
Options
• Options are fundamentally different from forward and
  futures contracts.
• An option gives the holder of the option the right to
  do something (right to sale or right to buy).
• The purchase of an option requires an up-front
  payment called premium.
• Option contract adjust your position according to any
  situation that arises.
Option terminology
• Buyer of an option: The buyer of a call/put option is
  the one who by paying the option premium, buys the
  right .
• Writer of an option: The writer of a call/put option is
  the one who by receives the option premium , sale the
  right.
Other Option terminology
• Option price/premium: Option price is the price which the
  option buyer pays to the option seller. It is also referred to as
  the option premium.
• Expiration date: The date specified in the options contract is
  known as the expiration date, the
  exercise date, the strike date or the maturity.
• Strike price: The price specified in the options contract is
  known as the strike price or the exercise price.
What type of Options are
           available?
• Call Options
• Put Options.
What are Call Options?
• Call Options give the buyer the right to buy a
  specified underlying at a set price on or before a
  particular date.
• For example, Satyam 260 Feb Call Option gives the
  Buyer the right to buy Satyam at a price of Rs 260 per
  share on or before the last Thursday of February.
• The price of 260 in the above example is called the
  strike price or the exercise price.
What are Put Options?
• Put Options give the buyer the right to sell a
  specified underlying at a set price on or before
  a particular date.
• For example, Satyam 260 Feb Put Option
  gives the Buyer the right to sell Satyam at a
  price of Rs 260 per share on or before the last
  Thursday of February.
Style of option contract--
• American style
• European style
Two basic styles of options
• American options: American options are options that
  can be exercised at any time up to the expiration
  date. Most exchange-traded options are American .

• European options: European options are options that
  can be exercised only on the expiration date
  itself.
Swaps
• Swaps are the contracts between two to
  exchange cash flows in the future as
  prespecified.
Two commonly used swaps
• Interest rate swaps
• Currency swaps
Interest rate swaps
• These entail swapping only the interest related cash flows
  between the parties in the same currency.
Currency swaps


• These entail swapping both principal & interest between the
  parties, with the cash flows in one direction being in a
  different currency than those in the opposite direction.
INFORMATION
•   NSE,s is the largest derivative exchange in India.
•   Currently, the derivatives contracts have a maximum of 3-months
    expiration cycle.
•   Three contracts are available for trading, with 1 month, 2 months, & 3
    months expiry.& a new contract is introduced on the next trading day
    following the expiry of the near month contract.
•   Future trading commenced first on Chicago Board of Trade.
•   The first exchange traded financial derivative in India commenced with the
    trading of Index futures.
•   BASIS= the difference between a future price & cash price (spot price) of
    the asset is known as the basis.
• LONG POSITION- One of the parties to the contract
  assumes a long position and agrees to buy the
  underlying asset on a certain specified future date for
  a certain specified price.
• SHORT POSITION-The other party assumes a short
  position and agrees to sell the asset on the same date
  for the same price.
• SHORT SELLING- short selling involves selling securities
  you do not own. Means borrows the security from another
  client & sells them in the market.
• PAY OFF- the losses as well as profits for the buyer and the
  seller of a futures contract are known as pay-off.
Forward Contracts
The specified price for the sale is known as the delivery price, we
   will denote this as K.
   – Note that K is set such that at initiation of the contract the
      value of the forward contract is 0.
As time progresses the delivery price doesn’t change, but the
   current spot (market) rate does. Thus, the contract gains (or
   loses) value over time.
   – Consider the situation at the maturity date of the contract.
      If the spot price is higher than the delivery price, the long
      party can buy at K and immediately sell at the spot price
      ST, making a profit of (ST-K), whereas the short position
      could have sold the asset for ST, but is obligated to sell for
      K, earning a profit (negative) of (K-ST).
Forward Contracts
•   Example:
    – Let’s say that you entered into a forward contract to buy wheat at
       $4.00/bushel, with delivery in December (thus K=$4.00.)
    – Let’s say that the delivery date was December 14 and that on
       December 14th the market price of wheat is unlikely to be exactly
       $4.00/bushel, but that is the price at which you have agreed (via the
       forward contract) to buy your wheat.
    – If the market price is greater than $4.00/bushel, you are pleased,
       because you are able to buy an asset for less than its market price.
    – If, however, the market price is less than $4.00/bushel, you are not
       pleased because you are paying more than the market price for the
       wheat.
    – Indeed, we can determine your net payoff to the trade by applying the
       formula: payoff = ST – K, since you gain an asset worth ST, but you
       have to pay $K for it.
    – We can graph the payoff function:
Forward Contracts
                                     Payoff to Futures Position on Wheat
                                  Where the Delivery Price (K) is $4.00/Bushel

                     4

                     3

                     2
Payoff to Forwards




                     1

                     0
                          0   1        2           3         4         5            6   7   8
                     -1

                     -2

                     -3

                     -4
                                           Wheat Market (Spot) Price, December 14
Forward Contracts
•   Example:
    – In this example you were the long party, but what about the short
       party?
    – They have agreed to sell wheat to you for $4.00/bushel on December
       14.
    – Their payoff is positive if the market price of wheat is less than $4.00/
       bushel – they force you to pay more for the wheat than they could sell
       it for on the open market.
        • Indeed, you could assume that what they do is buy it on the open
            market and then immediately deliver it to you in the forward
            contract.
    – Their payoff is negative, however, if the market price of wheat is
       greater than $4.00/bushel.
        • They could have sold the wheat for more than $4.00/bushel had
            they not agreed to sell it to you.
    – So their payoff function is the mirror image of your payoff function:
Forward Contracts
                                   Payoff to Short Futures Position on Wheat
                                  Where the Delivery Price (K) is $4.00/Bushel

                     4

                     3

                     2
Payoff to Forwards




                     1

                     0
                          0   1        2           3         4         5            6   7   8
                     -1

                     -2

                     -3

                     -4
                                           Wheat Market (Spot) Price, December 14
Forward Contracts
• Clearly the short position is just the mirror
  image of the long position, and, taken together
  the two positions cancel each other out:
Forward Contracts
                             Long and Short Positions in a Forward Contract
                                       For Wheat at $4.00/Bushel

         4

         3
                                         Short Position
         2

         1
                                                                              Long Position
Payoff




         0
              0          1         2         3        4        5        6          7          8
         -1

         -2
                  Net
                  Position
         -3

         -4
                                                 Wheat Price
Valuing a Forward Contract
No storage costs:           gold
Price set so that initial value of contract is zero. How is this possible?
Gold, one year hence sale contract. Let current price is = $400, interest
rate = 10%
Suppose:          forward price = $450
                            Strategy:         "Buy the asset now"

                 Now:
                 Borrow funds                +400
                 Buy gold                     -400
                                             _______
                 Net cash flow                0

                 One year later:
       Deliver gold at contract price          +450
       Pay off loan                             -440
      Net cash flow                               +10
                 Risk?
Suppose: Forward price =$420, Let current price is = $400, interest rate =
10%. Buy contract.
Strategy: "Sell the asset now"

        Now:

        Short gold in cash market               +400
        Invest funds in 10% loan                -400
                                               _______
        Net cash flow                              0

        One year later:

        Buy gold at contracted price            - 420
        Deliver on short position
        Receive payment on loan                + 440
        Net cash flow                           + 20

Risk?
PRICING FUTURE

Calculation of fair value of a contract.(Cost-of- carry logic method)-

                     F = Sert
Where F= fair value, S= spot price, e= 2.71828, t= time till expiration in
   years, r= cost of financing or interest rate.
Q- security XYZ ltd trades in the spot market at Rs. 1150. money can
   be invested at 11% p.a.. Calculate the fair value of a one-month
   futures contract of XYZ .?
                  F= Sert

           1150 * e0.11*1/12
              = 1160
Types of future contract
•   Index future (stock)
•   Index future (bond)
•   Cost of living index future
•   Interest rate currency
•   Foreign currency
INDEX DERIVATIVE

                      INDEX
• Indexes have been used as information sources.
• by looking at an index , we know how the market if fairing.
• Index movements reflect the changing expectations of stock market
  about future dividends of the corporate sectors.
• Index goes up, if the stock market thinks that the prospective
  dividends in future will be better & vise-versa.
  Example: Suppose an index contains two stocks, A and B. A has a
  market capitalization of Rs.1000 crore and B has a market
  capitalization of Rs.3000 crore.
  Then we attach a weight of 1/4 to movements in A and 3/4 to
  movements in B.
INDEX DERIVATIVE

• Index derivatives are derivative contracts which derive their
  value from an underlying index.
• Most popular index derivative are- index future & index
  option.
• Stock index being an average, is much less volatile than
  individual stock price.
• Index derivatives are cash setteled, hence do not suffer from
  forged/fake certificates.
FUTURE INDEX

• Stock index future is an index derivative that draws its
  value from an underlying stock index like Nifty or Sensex

• Futures contracts have linear payoffs. In simple words, it
  means that the losses as well as profits for the buyer and
  the seller of a futures contract are unlimited.
Major Stock index futures

Stock Exchange Name           Index Future Contract
Korean Stock Exchange         KOSPI 200
Hong Kong Future              Hang Seng
Exchange
Simex                         Nikkei Stock Average
Osaka Stock Exchange          Nikkei 300
Chicago Mercantile Exchange   S&P 100
New york Future Exchange      NYSE Composite
More on Index Future
• A stock index future contract gives the buyer
  (seller) the right and obligation to buy sell)
  the portfolio of stock represented by the index.
• The settlement is in cash mode.
Why physical delivery not
           possible?
• The reason for non-existence of physical
  delivery is that it would be impractical for a
  trader to deliver all the stocks in exactly the
  same proportion as they make up the index.
Index Future in India

                        BSE                  NSE
Underlying SENSEX                      NIFTY
Contract Multiplier
                    50                 200
Trading Cycle Near,Next,Far            Near,Next,Far
Tick size           0.05 index point   0.05 index point
Expiry Date Last Thursday              Last Thursday
Final Settlement Cash                  Cash
Settlement in Index Future
• MTM Settlement
• Final Settlement
MTM Settlement----
• All future contracts are marked to market to the daily
  settlement price at the end of each day.
• The traders who incurred a loss are required to pay
  the MTM loss amount in cash, which in turn is passed
  on to those traders who have made an MTM gain.
---MTM Settlement
• Once the daily settlements are worked out ,all the
  open positions are reset to the daily settlement price
  and they become the open position for the next day.
• On NSE, the daily settlement price or MTM
  settlement price is calculated as the last half an hour
  weighted average price of the contract .
Final Settlement for Futures
• After the trading on expiry day ends, all positions are
  settled by marking the contract to final settlement
  price and the resulting profit/loss is settled in cash.
• Final settlement price is the closing price of relevant
  underlying index/security in cash market ,on the last
  trading day of the contract.
• The closing price of the underlying index/security is
  the last half an hour weighted average value.
Why Buy Index Futures
• Leverage trading
• Ease of short-selling
1. Leverage trading- trading that does not require
  you to pay the full amount of the position.
• Allow to leverage the difference.
2. Ease of short selling-
• means making profit in a short while.
• short selling involves selling securities you do
  not own.
Payoff for buyer of future index: Long futures


• Take the case of a speculator who buys a two month
  Nifty index futures contract when the Nifty stands at
  2220.
• The underlying asset is- Nifty portfolio.
When the index moves up, the long futures position starts
making profits, and when the index moves down it starts
making losses.
 Payoff diagram for a buyer of Nifty futures-
Payoff for seller of future index: Short futures


• a speculator who sells a two-month Nifty
  index futures contract when the Nifty stands at
  2220.
• The underlying asset is - Nifty portfolio.
When the index moves down, the short futures position starts making
profits, and when the index moves up, it starts making losses


Payoff for a seller of Nifty futures
BOND INDEX

• Like stock, these are based on bond indices.
• Exa- US municipal bond index traded on
  Chicago Board of Trade (CBOT).
FOREIGN CURRENCY FUTURE

• Here underlying asset is foreign currency
• started in early 1970’s.
Interest rate future
• Started in 1975 .
• Here trading is made on interest bearing
  securities.
• Underlying asset- treasury bill, notes, bonds,
  debentures, Euro-dollars, municipal bonds.
COST OF LIVING INDEX FUTURE OR INFLATION
                    FUTURES

• Based on specific cost of living index.
• Exa- consumer price index (CPI)
• whole sale price index (WPI)
Options Contracts
•   Options on stocks were first traded in 1973.
•   There are two basic types of options:
    – A Call option is the right, to buy the underlying asset by a certain
       date for a certain price.


    –   A Put option is the right, to sell the underlying asset by a certain date
        for a certain price.




        • Note that unlike a forward or futures contract, the holder of the
          options contract does not have to do anything - they have the
          option to do it or not.
Options Contracts
• The date when the option expires is known as the
  exercise date, the expiration date, or the maturity date.
• The price at which the asset can be purchased or sold
  is known as the strike price.
• If an option is said to be European, it means that the
  holder of the option can buy or sell (depending on if it
  is a call or a put) only on the maturity date.
• If the option is said to be an American style option,
  the holder can exercise on any date up to and
  including the exercise date.
New terminology (option)
                  In-the-money option:

• An in-the-money (ITM) option is an option that
  would lead to a positive cashflow to the holder if it
  were exercised immediately. A call option on the
  index is said to be in-the-money when the current
  index stands at a level higher than the strike price (i.e.
  spot price >strike price). If the index is much higher
  than the strike price, the call is said to be deep ITM.
  In the case of a put, the put is ITM if the index is
  below the strike price.
At-the-money option:
An at-the-money (ATM) option is an option
that would lead to zero cash-flow if it were
exercised immediately. An option on the index
is at-the-money when the current index equals
the strike price(i.e. spot price = strike price).
Out-of-the-money option
• An out-of-the-money (OTM) option is an
  option that would lead to a negative cashflow if it
  were exercised immediately. A call option on the
  index is out-of-the-money when the current index
  stands at a level which is less than the strike price
  (i.e. spot price < strike price). If the index is much
  lower than the strike price, the call is said to be deep
  OTM. In the case of a put, the put is OTM if the
  index is above the strike price.
Intrinsic value of an option
 The option premium can be broken down into two
  components intrinsic value and time value.
Intrinsic value is the payoff if the option were to be
  exercised immediately. Intrinsic value is always
  greater than or equal to zero. For example, a certain
  asset is trading for $30. The intrinsic value of a $25
  call is therefore $5.
Time value of an option
• The time value of an option is the difference
  between its premium and its intrinsic value.
  Both calls and puts have time value.
Option Contracts Defined
Question 1:
An option gives the holder...

  A. the obligation to buy the underlying asset.
  B. the right to sell the underlying asset.
  C. the obligation to buy or sell the underlying
      asset.
  D. the right to buy or sell the underlying asset.
Option Contracts Defined
Question 1: Answer D
An option gives the holder...

  A. the obligation to buy the underlying asset.
  B. the right to sell the underlying asset.
  C. the obligation to buy or sell the underlying
     asset.
  D. the right to buy or sell the underlying asset.
Option Contracts Defined
Question 2:
What is the difference between an American
 option and a European option?
  A. An American option is traded on American exchanges, while
  European options are traded on European exchanges.
  B. An American option is written on an the assets of an
  American company, while a European option is written on the
  assets of a European company.
  C. An American option can only be exercised at expiration,
  while a European option can be exercised at anytime up to
  expiration.
  D. An American option can be exercised at anytime up to
  expiration, while a European option can be exercised only at
  expiration.
Option Contracts Defined
Question 2: Answer D
What is the difference between an American
 option and a European option?
  A. An American option is traded on American exchanges, while
  European options are traded on European exchanges.
  B. An American option is written on an the assets of an
  American company, while a European option is written on the
  assets of a European company.
  C. An American option can only be exercised at expiration,
  while a European option can be exercised at anytime up to
  expiration.
  D. An American option can be exercised at anytime up to
  expiration, while a European option can be exercised only
  at expiration.
Examples Of More Sophisticated
          Derivatives
• Barrier Options
• Compound Options
• Options On Futures
• Swap Options or Swaption
Barrier Options
• A type of option whose payoff depends on whether or not the
  underlying asset has reached or exceeded a predetermined
  price.
• A barrier option is a type of exotic option. It can be either a
  knock-in or a knock-out.
• Are exotic options that are traded , not on stock exchanges but
  over-the counter (OTC), in finance banks
• For example, if you believe that IBM will go up this year, but
  are willing to bet that it won't go above $100, then you can
  buy the barrier and pay less premium than the vanilla option.
barrier is triggered when the option is in the money (i.e. above
   spot for a call, or “up and in” and below spot for a put or
   “down and in.
  example- A European call option may be written on an
   underlying with spot price of $100, and a knockout barrier of
   $120. This option behaves in every way European call, except
   if the spot price ever moves above $120, the option "knocks
   out" and the contract is void. Note that the option does not
   reactivate if the spot price falls below $120 again.
IN/OUT

• IN / knock-in
     Options start worthless and are activated
  when asset price reaches the predetermined
  barrier level
• OUT/ knock-out
     Options start active and canceled or
  become null and void in the event that the
  barrier value is breached
Compound Options
• A compound option is simply an option on an
  option. The exercise payoff of a compound
  option involves the value of another option.
• A compound option then has two expiration
  dates and two strike prices.
• There are four types of these options:
  – Call on a call.
  – Call on a put.
  – Put on a call.
  – Put on a put.
Swap Options or Swaption
• An option on a swap, usually an interest rate
  swap.
• The agreement will specify whether the buyer
  of the swaption will be a fixed-rate receiver
  (like a call option on a bond) or a fixed-rate
  payer (like a put option on a bond).
SPREADS
• The difference in pricing among two relative
  contracts.
• A spread trading strategy can be constructed
  by taking a position in two or more options at
  the same type.
• That means combining two or more calls or
  two or more puts at same time.
VERTICAL BULL SPREAD


This is one popular strategy.
• One buy a call option at a certain strike price.
• Sell a call option at a higher price of same stock.
• The asset choosen is having same expiry date.
• The investor pay the premium while buying.
• The investor receives the premium while selling option.
• So the investment by trader is the difference in two price
• Max. loss= lower premium to receive- higher premium to pay
• Max profit= higher strike price- lower strike price-net
  premium paid
• Break even price= lower strike price+net premium paid.
Bearish vertical spread
• This will give profit, when there is a decline in price of
  underlying asset.
• Here the trader purchase one option at higher strike
  price
• Selling one option at relatively lower strike price having
  same expiration date.
• Max.profit= premium on selling option at lower strike
  price-premium on buying at higher strike price.
• Max. loss= higher strike price-lower strike price-net
  premium earned.
• Break even price= higher strike price-net premium
  earned.
Butterfly spread

• Means a position in options with different
  strike price.
• The investor purchase a call option with a
  relative low strike price(x1) & high strike
  price(X3) & selling two call options in
  between (X2).
DIAGONAL SPREAD

• A combination of one option trading which
  involves taking positions of several horizontal
  (call, put), vertical (bull, bear) spread where
  both expiration dates & strike prices are differ.
THANKING YOU

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Introduction to derivatives

  • 1. INTRODUCTION TO DERIVATIVES BY: NILIMA DAS
  • 3. AGREEMENT Date:1st Jan 2008 Three month after words I will sell to Mr. BISWO 50 gm 22ct gold @14,000 per 10gm. Signature
  • 4. Define a derivative? • A derivative is an instrument whose value is derived from, and therefore, depends upon, the value of some underlying asset or factor.
  • 5. What kind of underlying assets are derivatives generally available on? Common underlying assets for derivatives are: • Equity Shares • Equity Indices • Debt Market Securities • Interest Rates • Foreign Exchange • Commodities • Derivatives themselves etc.
  • 6. Differentiate between Exchange-traded and over-the-counter derivatives • Exchange-traded derivatives are contracts that trade on an organized exchange. • Contracts can be bought and sold any time the exchange is open. • The contracts have standardized terms set by the exchange or the clearinghouse. • Prices are publicly available.
  • 7. Differentiate between Exchange-traded and over-the-counter derivatives • Over-the-counter derivatives result from agreements between two parties. • The parties can negotiate contract terms that are mutually acceptable. • Contracts can be terminated only with the agreement of the other party. • Prices are not available
  • 8. Players in the derivatives market? • Hedgers • Speculators • Arbitrageurs
  • 9. HEDGER • A hedge is a position taken in futures for the purpose of reducing exposure to one or more types of risk. • The hedging strategy can be undertaken in all the markets like futures, forwards, options, SWAP etc.
  • 10. SPECULATOR • Speculators use derivatives to bet on the future direction of the markets. Their objective is to gain when the prices move as per their expectation. • 3 types based on duration iii.SCALPERS – hold for very short time (in minutes) iv.DAY TRADERS- one trading day v. POSITION TRADERS- long period (week, month, a year).
  • 11. ARBITRAGEURS • Arbitrageurs try to make risk-less profit by simultaneously entering in to transactions in two or more market. • Arbitrageurs assist in proper price discovery and correct price abnormalities.
  • 12. What role does each person play in the derivatives market? • Speculators provide liquidity and volume to the market. • Hedgers provide depth. • Arbitrageurs assist in proper price discovery and correct price abnormalities. • Speculators are willing to take risks. • Hedgers want to give away risks (generally to the speculators
  • 13. Types of derivatives • Standardised derivatives • Exotic derivatives
  • 14. Types of derivatives • Standardised derivatives are as specified by exchanges and have simple standard features. These are also called vanilla derivatives or plain vanilla derivatives. • Exotic derivatives have many non-standard features, which might appeal to special classes of investors. These are generally not exchange traded and are structured between parties on their own.
  • 17. Forward contracts • A forward contract is an agreement to buy or sell an asset on a specified date for a specified price. .
  • 18. Essential features of a forward contract----- • Contract between two parties (without any exchange between them) • Price decided today • Quantity decided today (can be based on convenience of the parties) • Quality decided today (can be based on convenience of the parties) • Settlement will take place sometime in future (can be based on convenience of the parties) • No margins are generally payable by any of the parties to the other
  • 19. Essential features of a forward contract----- • They are bilateral contracts and hence exposed to counter-party risk. • Each contract is custom designed, and hence is unique in terms of contract size, expiration date and the asset type and quality. • The contract price is generally not available in public domain. • On the expiration date, the contract has to be settled by delivery of the asset.
  • 20. Limitations of forward markets • Lack of centralization of trading • Illiquidity • Counterparty risk
  • 21. Futures • Futures markets were designed to solve the problems that exist in forward markets . • A futures contract is an agreement between two parties to buy or sell an asset at a certain time in the future at a certain price. • But unlike forward contracts, the futures contracts are standardized and exchange traded.
  • 22. Futures--- • To facilitate liquidity in the futures contracts, the exchange specifies certain standard features of the contract . • The standardized items in a futures contract are: 3. Quantity of the underlying 4. Quality of the underlying • A futures contract may be offset prior to maturity by entering into an equal and opposite transaction. More than 99% of futures transactions are offset this way
  • 23. Essential features of a Futures contract • Contract between two parties through an exchange • Exchange is the legal counterparty to both parties • Price decided today • Quantity decided today (quantities have to be in standard denominations specified by the exchange) • Quality decided today (quality should be as per the specifications decided by the exchange)
  • 24. Essential features of a Futures contract • Tick size- the minimum amount is decided by the Exchange. • Striking price- the price of the underlying asset specified in the contract.(delivery price) • Delivery will take place in future &expiry date is specified by the exchange. • Margins are payable by both the parties to the exchange • the price limits can be decided by the exchange
  • 25. Distinction between futures and forwards Forwards Futures OTC in nature Trade on an organized exchange Customized contract Standardized contract terms terms Hence less liquid Hence more liquid No margin payment Requires margin payments Settlement happens Follows daily settlement at end of period
  • 26. Do Futures suffer from any limitation? • Futures suffer from lack of flexibility. Suppose you want to buy 103 shares of Satyam for a future delivery date of 14th February, you cannot. • The exchange will have standardized specifications for each contract. Thus, you may find that you can buy Satyam futures in lots of 1,200 only. You may find that expiry date will be the last Thursday of every month. • Thus, while forwards can be structured according to the convenience of the trading parties involved, futures specifications are standardized by the exchange.
  • 27. What is the meaning of expiry of Futures? • Futures contracts will expire on a certain pre- specified date. In India, futures contracts expire on the last Thursday of every month. For example, a February Futures contract will expire on the last Thursday of February. In this case, February is referred to as the Contract month. • If the last Thursday is a holiday, Futures and Options will expire on the previous working day. • On expiry, all contracts will be compulsorily settled. • Settlement can be effected in cash or through delivery.
  • 28. What does Cash Settlement mean? • Cash Settlement means settlement by payment/receipt in cash of the difference between the contracted price and the closing price (spot price) of the underlying on the expiry day. • In the Cash settled system, you can buy and sell Futures on stocks without holding the stocks at any time. • For example, to buy and sell Futures on Satyam, you do not have to hold Satyam shares
  • 29. What does Delivery based Settlement mean? • In Delivery based Settlement, the seller of Futures delivers to the Buyer (through the exchange) the physical shares, on the expiry day. • For example, if you have bought 1,200 Satyam Futures at Rs 250 each, then you will (on the day of expiry) get 1,200 Shares of Satyam at the contracted Futures price of Rs 250. It might happen that on the day of expiry, Satyam was actually quoting at Rs 280. In that case, you would still get Satyam at Rs 250, effectively generating a profit of Rs 30 for you.
  • 30. What is the Current System in India? • Currently in India 99.9% Futures transactions are settled in Cash. • It is widely expected that we will move to a physical delivery system soon. • However, Index based Futures and options will continue to be based on Cash Settlement system.
  • 31. How many month Futures are available at any point of time? • Exchanges have currently introduced three series in Futures and Options. For example during the month of February on any day on or before last Thursday, you will find three Series available viz. February, March and April. • The February Series will expire on the last Thursday of February. • On the next working day, the May Series will open. Thus, on a rolling basis, three Series will be made available
  • 32. Futures: Concluding Remark • In a forward or futures contract, the two parties have committed themselves to doing something. • It costs nothing except margin requirements) to enter into a futures contract
  • 33. Options • Options are fundamentally different from forward and futures contracts. • An option gives the holder of the option the right to do something (right to sale or right to buy). • The purchase of an option requires an up-front payment called premium. • Option contract adjust your position according to any situation that arises.
  • 34. Option terminology • Buyer of an option: The buyer of a call/put option is the one who by paying the option premium, buys the right . • Writer of an option: The writer of a call/put option is the one who by receives the option premium , sale the right.
  • 35. Other Option terminology • Option price/premium: Option price is the price which the option buyer pays to the option seller. It is also referred to as the option premium. • Expiration date: The date specified in the options contract is known as the expiration date, the exercise date, the strike date or the maturity. • Strike price: The price specified in the options contract is known as the strike price or the exercise price.
  • 36. What type of Options are available? • Call Options • Put Options.
  • 37. What are Call Options? • Call Options give the buyer the right to buy a specified underlying at a set price on or before a particular date. • For example, Satyam 260 Feb Call Option gives the Buyer the right to buy Satyam at a price of Rs 260 per share on or before the last Thursday of February. • The price of 260 in the above example is called the strike price or the exercise price.
  • 38. What are Put Options? • Put Options give the buyer the right to sell a specified underlying at a set price on or before a particular date. • For example, Satyam 260 Feb Put Option gives the Buyer the right to sell Satyam at a price of Rs 260 per share on or before the last Thursday of February.
  • 39. Style of option contract-- • American style • European style
  • 40. Two basic styles of options • American options: American options are options that can be exercised at any time up to the expiration date. Most exchange-traded options are American . • European options: European options are options that can be exercised only on the expiration date itself.
  • 41. Swaps • Swaps are the contracts between two to exchange cash flows in the future as prespecified.
  • 42. Two commonly used swaps • Interest rate swaps • Currency swaps
  • 43. Interest rate swaps • These entail swapping only the interest related cash flows between the parties in the same currency.
  • 44. Currency swaps • These entail swapping both principal & interest between the parties, with the cash flows in one direction being in a different currency than those in the opposite direction.
  • 45. INFORMATION • NSE,s is the largest derivative exchange in India. • Currently, the derivatives contracts have a maximum of 3-months expiration cycle. • Three contracts are available for trading, with 1 month, 2 months, & 3 months expiry.& a new contract is introduced on the next trading day following the expiry of the near month contract. • Future trading commenced first on Chicago Board of Trade. • The first exchange traded financial derivative in India commenced with the trading of Index futures. • BASIS= the difference between a future price & cash price (spot price) of the asset is known as the basis.
  • 46. • LONG POSITION- One of the parties to the contract assumes a long position and agrees to buy the underlying asset on a certain specified future date for a certain specified price. • SHORT POSITION-The other party assumes a short position and agrees to sell the asset on the same date for the same price.
  • 47. • SHORT SELLING- short selling involves selling securities you do not own. Means borrows the security from another client & sells them in the market. • PAY OFF- the losses as well as profits for the buyer and the seller of a futures contract are known as pay-off.
  • 48. Forward Contracts The specified price for the sale is known as the delivery price, we will denote this as K. – Note that K is set such that at initiation of the contract the value of the forward contract is 0. As time progresses the delivery price doesn’t change, but the current spot (market) rate does. Thus, the contract gains (or loses) value over time. – Consider the situation at the maturity date of the contract. If the spot price is higher than the delivery price, the long party can buy at K and immediately sell at the spot price ST, making a profit of (ST-K), whereas the short position could have sold the asset for ST, but is obligated to sell for K, earning a profit (negative) of (K-ST).
  • 49. Forward Contracts • Example: – Let’s say that you entered into a forward contract to buy wheat at $4.00/bushel, with delivery in December (thus K=$4.00.) – Let’s say that the delivery date was December 14 and that on December 14th the market price of wheat is unlikely to be exactly $4.00/bushel, but that is the price at which you have agreed (via the forward contract) to buy your wheat. – If the market price is greater than $4.00/bushel, you are pleased, because you are able to buy an asset for less than its market price. – If, however, the market price is less than $4.00/bushel, you are not pleased because you are paying more than the market price for the wheat. – Indeed, we can determine your net payoff to the trade by applying the formula: payoff = ST – K, since you gain an asset worth ST, but you have to pay $K for it. – We can graph the payoff function:
  • 50. Forward Contracts Payoff to Futures Position on Wheat Where the Delivery Price (K) is $4.00/Bushel 4 3 2 Payoff to Forwards 1 0 0 1 2 3 4 5 6 7 8 -1 -2 -3 -4 Wheat Market (Spot) Price, December 14
  • 51. Forward Contracts • Example: – In this example you were the long party, but what about the short party? – They have agreed to sell wheat to you for $4.00/bushel on December 14. – Their payoff is positive if the market price of wheat is less than $4.00/ bushel – they force you to pay more for the wheat than they could sell it for on the open market. • Indeed, you could assume that what they do is buy it on the open market and then immediately deliver it to you in the forward contract. – Their payoff is negative, however, if the market price of wheat is greater than $4.00/bushel. • They could have sold the wheat for more than $4.00/bushel had they not agreed to sell it to you. – So their payoff function is the mirror image of your payoff function:
  • 52. Forward Contracts Payoff to Short Futures Position on Wheat Where the Delivery Price (K) is $4.00/Bushel 4 3 2 Payoff to Forwards 1 0 0 1 2 3 4 5 6 7 8 -1 -2 -3 -4 Wheat Market (Spot) Price, December 14
  • 53. Forward Contracts • Clearly the short position is just the mirror image of the long position, and, taken together the two positions cancel each other out:
  • 54. Forward Contracts Long and Short Positions in a Forward Contract For Wheat at $4.00/Bushel 4 3 Short Position 2 1 Long Position Payoff 0 0 1 2 3 4 5 6 7 8 -1 -2 Net Position -3 -4 Wheat Price
  • 55. Valuing a Forward Contract No storage costs: gold Price set so that initial value of contract is zero. How is this possible? Gold, one year hence sale contract. Let current price is = $400, interest rate = 10% Suppose: forward price = $450 Strategy: "Buy the asset now" Now: Borrow funds +400 Buy gold -400 _______ Net cash flow 0 One year later: Deliver gold at contract price +450 Pay off loan -440 Net cash flow +10 Risk?
  • 56. Suppose: Forward price =$420, Let current price is = $400, interest rate = 10%. Buy contract. Strategy: "Sell the asset now" Now: Short gold in cash market +400 Invest funds in 10% loan -400 _______ Net cash flow 0 One year later: Buy gold at contracted price - 420 Deliver on short position Receive payment on loan + 440 Net cash flow + 20 Risk?
  • 57. PRICING FUTURE Calculation of fair value of a contract.(Cost-of- carry logic method)- F = Sert Where F= fair value, S= spot price, e= 2.71828, t= time till expiration in years, r= cost of financing or interest rate. Q- security XYZ ltd trades in the spot market at Rs. 1150. money can be invested at 11% p.a.. Calculate the fair value of a one-month futures contract of XYZ .? F= Sert 1150 * e0.11*1/12 = 1160
  • 58. Types of future contract • Index future (stock) • Index future (bond) • Cost of living index future • Interest rate currency • Foreign currency
  • 59. INDEX DERIVATIVE INDEX • Indexes have been used as information sources. • by looking at an index , we know how the market if fairing. • Index movements reflect the changing expectations of stock market about future dividends of the corporate sectors. • Index goes up, if the stock market thinks that the prospective dividends in future will be better & vise-versa. Example: Suppose an index contains two stocks, A and B. A has a market capitalization of Rs.1000 crore and B has a market capitalization of Rs.3000 crore. Then we attach a weight of 1/4 to movements in A and 3/4 to movements in B.
  • 60. INDEX DERIVATIVE • Index derivatives are derivative contracts which derive their value from an underlying index. • Most popular index derivative are- index future & index option. • Stock index being an average, is much less volatile than individual stock price. • Index derivatives are cash setteled, hence do not suffer from forged/fake certificates.
  • 61. FUTURE INDEX • Stock index future is an index derivative that draws its value from an underlying stock index like Nifty or Sensex • Futures contracts have linear payoffs. In simple words, it means that the losses as well as profits for the buyer and the seller of a futures contract are unlimited.
  • 62. Major Stock index futures Stock Exchange Name Index Future Contract Korean Stock Exchange KOSPI 200 Hong Kong Future Hang Seng Exchange Simex Nikkei Stock Average Osaka Stock Exchange Nikkei 300 Chicago Mercantile Exchange S&P 100 New york Future Exchange NYSE Composite
  • 63. More on Index Future • A stock index future contract gives the buyer (seller) the right and obligation to buy sell) the portfolio of stock represented by the index. • The settlement is in cash mode.
  • 64. Why physical delivery not possible? • The reason for non-existence of physical delivery is that it would be impractical for a trader to deliver all the stocks in exactly the same proportion as they make up the index.
  • 65. Index Future in India BSE NSE Underlying SENSEX NIFTY Contract Multiplier 50 200 Trading Cycle Near,Next,Far Near,Next,Far Tick size 0.05 index point 0.05 index point Expiry Date Last Thursday Last Thursday Final Settlement Cash Cash
  • 66. Settlement in Index Future • MTM Settlement • Final Settlement
  • 67. MTM Settlement---- • All future contracts are marked to market to the daily settlement price at the end of each day. • The traders who incurred a loss are required to pay the MTM loss amount in cash, which in turn is passed on to those traders who have made an MTM gain.
  • 68. ---MTM Settlement • Once the daily settlements are worked out ,all the open positions are reset to the daily settlement price and they become the open position for the next day. • On NSE, the daily settlement price or MTM settlement price is calculated as the last half an hour weighted average price of the contract .
  • 69. Final Settlement for Futures • After the trading on expiry day ends, all positions are settled by marking the contract to final settlement price and the resulting profit/loss is settled in cash. • Final settlement price is the closing price of relevant underlying index/security in cash market ,on the last trading day of the contract. • The closing price of the underlying index/security is the last half an hour weighted average value.
  • 70. Why Buy Index Futures • Leverage trading • Ease of short-selling
  • 71. 1. Leverage trading- trading that does not require you to pay the full amount of the position. • Allow to leverage the difference. 2. Ease of short selling- • means making profit in a short while. • short selling involves selling securities you do not own.
  • 72. Payoff for buyer of future index: Long futures • Take the case of a speculator who buys a two month Nifty index futures contract when the Nifty stands at 2220. • The underlying asset is- Nifty portfolio.
  • 73. When the index moves up, the long futures position starts making profits, and when the index moves down it starts making losses. Payoff diagram for a buyer of Nifty futures-
  • 74. Payoff for seller of future index: Short futures • a speculator who sells a two-month Nifty index futures contract when the Nifty stands at 2220. • The underlying asset is - Nifty portfolio.
  • 75. When the index moves down, the short futures position starts making profits, and when the index moves up, it starts making losses Payoff for a seller of Nifty futures
  • 76. BOND INDEX • Like stock, these are based on bond indices. • Exa- US municipal bond index traded on Chicago Board of Trade (CBOT).
  • 77. FOREIGN CURRENCY FUTURE • Here underlying asset is foreign currency • started in early 1970’s.
  • 78. Interest rate future • Started in 1975 . • Here trading is made on interest bearing securities. • Underlying asset- treasury bill, notes, bonds, debentures, Euro-dollars, municipal bonds.
  • 79. COST OF LIVING INDEX FUTURE OR INFLATION FUTURES • Based on specific cost of living index. • Exa- consumer price index (CPI) • whole sale price index (WPI)
  • 80. Options Contracts • Options on stocks were first traded in 1973. • There are two basic types of options: – A Call option is the right, to buy the underlying asset by a certain date for a certain price. – A Put option is the right, to sell the underlying asset by a certain date for a certain price. • Note that unlike a forward or futures contract, the holder of the options contract does not have to do anything - they have the option to do it or not.
  • 81. Options Contracts • The date when the option expires is known as the exercise date, the expiration date, or the maturity date. • The price at which the asset can be purchased or sold is known as the strike price. • If an option is said to be European, it means that the holder of the option can buy or sell (depending on if it is a call or a put) only on the maturity date. • If the option is said to be an American style option, the holder can exercise on any date up to and including the exercise date.
  • 82. New terminology (option) In-the-money option: • An in-the-money (ITM) option is an option that would lead to a positive cashflow to the holder if it were exercised immediately. A call option on the index is said to be in-the-money when the current index stands at a level higher than the strike price (i.e. spot price >strike price). If the index is much higher than the strike price, the call is said to be deep ITM. In the case of a put, the put is ITM if the index is below the strike price.
  • 83. At-the-money option: An at-the-money (ATM) option is an option that would lead to zero cash-flow if it were exercised immediately. An option on the index is at-the-money when the current index equals the strike price(i.e. spot price = strike price).
  • 84. Out-of-the-money option • An out-of-the-money (OTM) option is an option that would lead to a negative cashflow if it were exercised immediately. A call option on the index is out-of-the-money when the current index stands at a level which is less than the strike price (i.e. spot price < strike price). If the index is much lower than the strike price, the call is said to be deep OTM. In the case of a put, the put is OTM if the index is above the strike price.
  • 85. Intrinsic value of an option The option premium can be broken down into two components intrinsic value and time value. Intrinsic value is the payoff if the option were to be exercised immediately. Intrinsic value is always greater than or equal to zero. For example, a certain asset is trading for $30. The intrinsic value of a $25 call is therefore $5.
  • 86. Time value of an option • The time value of an option is the difference between its premium and its intrinsic value. Both calls and puts have time value.
  • 87. Option Contracts Defined Question 1: An option gives the holder... A. the obligation to buy the underlying asset. B. the right to sell the underlying asset. C. the obligation to buy or sell the underlying asset. D. the right to buy or sell the underlying asset.
  • 88. Option Contracts Defined Question 1: Answer D An option gives the holder... A. the obligation to buy the underlying asset. B. the right to sell the underlying asset. C. the obligation to buy or sell the underlying asset. D. the right to buy or sell the underlying asset.
  • 89. Option Contracts Defined Question 2: What is the difference between an American option and a European option? A. An American option is traded on American exchanges, while European options are traded on European exchanges. B. An American option is written on an the assets of an American company, while a European option is written on the assets of a European company. C. An American option can only be exercised at expiration, while a European option can be exercised at anytime up to expiration. D. An American option can be exercised at anytime up to expiration, while a European option can be exercised only at expiration.
  • 90. Option Contracts Defined Question 2: Answer D What is the difference between an American option and a European option? A. An American option is traded on American exchanges, while European options are traded on European exchanges. B. An American option is written on an the assets of an American company, while a European option is written on the assets of a European company. C. An American option can only be exercised at expiration, while a European option can be exercised at anytime up to expiration. D. An American option can be exercised at anytime up to expiration, while a European option can be exercised only at expiration.
  • 91. Examples Of More Sophisticated Derivatives • Barrier Options • Compound Options • Options On Futures • Swap Options or Swaption
  • 92. Barrier Options • A type of option whose payoff depends on whether or not the underlying asset has reached or exceeded a predetermined price. • A barrier option is a type of exotic option. It can be either a knock-in or a knock-out. • Are exotic options that are traded , not on stock exchanges but over-the counter (OTC), in finance banks • For example, if you believe that IBM will go up this year, but are willing to bet that it won't go above $100, then you can buy the barrier and pay less premium than the vanilla option.
  • 93. barrier is triggered when the option is in the money (i.e. above spot for a call, or “up and in” and below spot for a put or “down and in. example- A European call option may be written on an underlying with spot price of $100, and a knockout barrier of $120. This option behaves in every way European call, except if the spot price ever moves above $120, the option "knocks out" and the contract is void. Note that the option does not reactivate if the spot price falls below $120 again.
  • 94. IN/OUT • IN / knock-in Options start worthless and are activated when asset price reaches the predetermined barrier level • OUT/ knock-out Options start active and canceled or become null and void in the event that the barrier value is breached
  • 95. Compound Options • A compound option is simply an option on an option. The exercise payoff of a compound option involves the value of another option. • A compound option then has two expiration dates and two strike prices.
  • 96. • There are four types of these options: – Call on a call. – Call on a put. – Put on a call. – Put on a put.
  • 97. Swap Options or Swaption • An option on a swap, usually an interest rate swap. • The agreement will specify whether the buyer of the swaption will be a fixed-rate receiver (like a call option on a bond) or a fixed-rate payer (like a put option on a bond).
  • 98. SPREADS • The difference in pricing among two relative contracts. • A spread trading strategy can be constructed by taking a position in two or more options at the same type. • That means combining two or more calls or two or more puts at same time.
  • 99. VERTICAL BULL SPREAD This is one popular strategy. • One buy a call option at a certain strike price. • Sell a call option at a higher price of same stock. • The asset choosen is having same expiry date. • The investor pay the premium while buying. • The investor receives the premium while selling option. • So the investment by trader is the difference in two price • Max. loss= lower premium to receive- higher premium to pay • Max profit= higher strike price- lower strike price-net premium paid • Break even price= lower strike price+net premium paid.
  • 100. Bearish vertical spread • This will give profit, when there is a decline in price of underlying asset. • Here the trader purchase one option at higher strike price • Selling one option at relatively lower strike price having same expiration date. • Max.profit= premium on selling option at lower strike price-premium on buying at higher strike price. • Max. loss= higher strike price-lower strike price-net premium earned. • Break even price= higher strike price-net premium earned.
  • 101. Butterfly spread • Means a position in options with different strike price. • The investor purchase a call option with a relative low strike price(x1) & high strike price(X3) & selling two call options in between (X2).
  • 102. DIAGONAL SPREAD • A combination of one option trading which involves taking positions of several horizontal (call, put), vertical (bull, bear) spread where both expiration dates & strike prices are differ.