Forward Contract

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FORWARD CONTRACT
In finance, a forward contract or simply a forward is a non-standardized contract between two parties to [1] buy or sell an asset at a specified future time at a price agreed today. This is in contrast to a spot contract, which is an agreement to buy or sell an asset today. It costs nothing to enter a forward contract. The party agreeing to buy the underlying asset in the future assumes a long position, and the party agreeing to sell the asset in the future assumes a short position. The price agreed upon is called the delivery price, which is equal to the forward price at the time the contract is entered into. The price of the underlying instrument, in whatever form, is paid before control of the instrument changes. This is one of the many forms of buy/sell orders where the time of trade is not the time where the securities themselves are exchanged. The forward price of such a contract is commonly contrasted with the spot price, which is the price at which the asset changes hands on the spot date. The difference between the spot and the forward price is the forward premium or forward discount, generally considered in the form of a profit, or loss, by the purchasing party. Forwards, like other derivative securities, can be used to hedge risk (typically currency or exchange rate risk), as a means of speculation, or to allow a party to take advantage of a quality of the underlying instrument which is time-sensitive. A closely related contract is a futures contract; they differ in certain respects. Forward contracts are very similar to futures contracts, except they are not exchange-traded, or defined on standardized [2] assets. Forwards also typically have no interim partial settlements or "true-ups" in margin requirements like futures - such that the parties do not exchange additional property securing the party at gain and the entire unrealized gain or loss builds up while the contract is open. However, being traded OTC, forward contracts specification can be customized and may include mark-to-market and daily margining. Hence, a forward contract arrangement might call for the loss party to pledge collateral or additional collateral to [clarification needed] better secure the party at gain.

Payoffs
The value of a forward position at maturity depends on the relationship between the delivery price (K) and the underlying price (ST) at that time.   For a long position this payoff is: fT = ST − K For a short position, it is: fT = K − ST 



How a forward contract works
Suppose that Bob wants to buy a house a year from now. At the same time, suppose that Andy currently owns a $100,000 house that he wishes to sell a year from now. Both parties could enter into a forward contract with each other. Suppose that they both agree on the sale price in one year's time of $104,000 (more below on why the sale price should be this amount). Andy and Bob have entered into a forward contract. Bob, because he is buying the underlying, is said to have entered a long forward contract. Conversely, Andy will have the short forward contract. At the end of one year, suppose that the current market valuation of Andy's house is $110,000. Then, because Andy is obliged to sell to Bob for only $104,000, Bob will make a profit of $6,000. To see why this is so, one needs only to recognize that Bob can buy from Andy for $104,000 and immediately sell to the market for $110,000. Bob has made the difference in profit. In contrast, Andy has made a potential loss of $6,000, and an actual profit of $4,000. The similar situation works among currency forwards, where one party opens a forward contract to buy or sell a currency (ex. a contract to buy Canadian dollars) to expire/settle at a future date, as they do not wish to be exposed to exchange rate/currency risk over a period of time. As the exchange rate between U.S. dollars and Canadian dollars fluctuates between the trade date and the earlier of the date at which the contract is closed or the expiration date, one party gains and the counterparty loses as one currency strengthens against the other. Sometimes, the buy forward is opened because the investor will actually need Canadian dollars at a future date such as to pay a debt owed that is denominated in Canadian dollars. Other times, the party opening a forward does so, not because they need Canadian dollars nor because they are hedging currency risk, but because they are speculating on the currency, expecting the exchange rate to move favorably to generate a gain on closing the contract. In a currency forward, the notional amounts of currencies are specified (ex: a contract to buy $100 million Canadian dollars equivalent to, say $114.4 million USD at the current rate—these two amounts are called the notional amount(s)). While the notional amount or reference amount may be a large number, the cost or margin requirement to command or open such a contract is considerably less than that amount, which refers to the leverage created, which is typical in derivative contracts.

Example of how forward prices should be agreed upon
Continuing on the example above, suppose now that the initial price of Andy's house is $100,000 and that Bob enters into a forward contract to buy the house one year from today. But since Andy knows that he can immediately sell for $100,000 and place the proceeds in the bank, he wants to be compensated for the delayed sale. Suppose that the risk free rate of return R (the bank rate) for one year is 4%. Then the money in the bank would grow to $104,000, risk free. So Andy would want at least $104,000 one year from now for the contract to be worthwhile for him - the opportunity cost will be covered.

Spot - forward parity
Main article: Forward price See also: Cost of carry and convenience yield For liquid assets ("tradeables"), spot-forward parity provides the link between the spot market and the forward market. It describes the relationship between the spot and forward price of the underlying asset in a forward contract. While the overall effect can be described as the cost of carry, this effect can be broken down into different components, specifically whether the asset:    pays income, and if so whether this is on a discrete or continuous basis incurs storage costs is regarded as  an investment asset, i.e. an asset held primarily for investment purposes (e.g. gold, financial securities);  or a consumption asset, i.e. an asset held primarily for consumption (e.g. oil, iron ore etc.)

Investment assets
For an asset that provides no income, the relationship between the current forward (F0) and spot (S0) prices is

F0 = S0erT
where r is the continuously compounded risk free rate of return, and T is the time to maturity. The intuition behind this result is that given you want to own the asset at time T, there should be no difference in a perfect capital market between buying the asset today and holding it and buying the forward contract and taking delivery. Thus, both approaches must cost the same in present value terms. For an arbitrage proof of why this is the case, see Rational pricing below. For an asset that pays known income, the relationship becomes:   Discrete: F0 = (S0 − I)e Continuous: F0 = S0e
rT

(r − q)T

where is the present value of the discrete income at time t1 < T, and q%p.a. is the continuous dividend yield over the life of the contract. The intuition is that when an asset pays income, there is a benefit to holding the asset rather than the forward because you get to receive this income. Hence the income (I or q) must be subtracted to reflect this benefit. An example of an asset which pays discrete income might be a stock, and example of an asset which pays a continuous yield might be a foreign currency or a stock index. For investment assets which are commodities, such as gold and silver, storage costs must also be considered. Storage costs can be treated as 'negative income', and like income can be discrete or continuous. Hence with storage costs, the relationship becomes:   Discrete: F0 = (S0 + U)e Continuous: F0 = S0e
rT

(r + u)T

where is the present value of the discrete storage cost at time , and u%p.a. is the storage cost where it is proportional to the price of the commodity, and is hence a 'negative yield'. The intuition here is that because storage costs make the final price higher, we have to add them to the spot price.

Consumption assets
Consumption assets are typically raw material commodities which are used as a source of energy or in a production process, for example crude oil or iron ore. Users of these consumption commodities may feel that there is a benefit from physically holding the asset in inventory as opposed to holding a forward on the asset. These benefits include the ability to profit from temporary shortages and the [1] ability to keep a production process running, and are referred to as the convenience yield. Thus, for consumption assets, the spot-forward relationship is:   Discrete storage costs: F0 = (S0 + U)e Continuous storage costs: F0 = S0e
(r − y)T

(r + u − y)T

where y%p.a. is the convenience yield over the life of the contract. Since the convenience yield provides a benefit to the holder of the asset but not the holder of the forward, it can be modelled as a type of 'dividend yield'. However, it is important to note that the convenience yield is a non cash item, but rather reflects the market's expectations concerning future availability of the commodity. If users have low inventories of the commodity, this implies a greater chance of shortage, which means a [1] higher convenience yield. The opposite is true when high inventories exist.

Cost of carry
The relationship between the spot and forward price of an asset reflects the net cost of holding (or carrying) that asset relative to holding the forward. Thus, all of the costs and benefits above can be summarised as the cost of carry, c. Hence,   Discrete: F0 = (S0 + U − I)e
cT (r − y)T

Continuous: F0 = S0e , where c = r − q + u − y.

Relationship between the forward price and the expected future spot price
Main articles: Normal backwardation and Contango

The market's opinion about what the spot price of an asset will be in the future is the expected future [1] spot price. Hence, a key question is whether or not the current forward price actually predicts the respective spot price in the future. There are a number of different hypotheses which try to explain the relationship between the current forward price, F0 and the expected future spot price, E(ST). The economists John Maynard Keynes and John Hicks argued that in general, the natural hedgers of [3][4] a commodity are those who wish to sell the commodity at a future point in time. Thus, hedgers will collectively hold a net short position in the forward market. The other side of these contracts are held by speculators, who must therefore hold a net long position. Hedgers are interested in reducing risk, and thus will accept losing money on their forward contracts. Speculators on the other hand, are interested in making a profit, and will hence only enter the contracts if they expect to make money. Thus, if speculators are holding a net long position, it must be the case that the expected future spot price is greater than the forward price. In other words, the expected payoff to the speculator at maturity is:

E(ST − K) = E(ST) − K, where K is the delivery price at maturity
Thus, if the speculators expect to profit,

E(ST) − K > 0 E(ST) > K E(ST) > F0, as K = F0 when they enter the contract
This market situation, where E(ST) > F0, is referred to as normal backwardation. Since forward/futures prices converge with the spot price at maturity (see basis),

normal backwardation implies that futures prices for a certain maturity are increasing over time. The opposite situation, where E(ST) < F0, is referred to ascontango. Likewise, contango implies that futures prices for a certain maturity are [5] falling over time.

Rational pricing
If St is the spot price of an asset at time t, and r is the continuously compounded r(T − t) rate, then the forward price at a future time T must satisfy Ft,T = Ste . To prove this, suppose not. Then we have two possible cases. Case 1: Suppose that Ft,T > Ste trades at time t:
r(T − t)

. Then an investor can execute the following

1. go to the bank and get a loan with amount St at the continuously compounded rate r; 2. with this money from the bank, buy one unit of stock for St; 3. enter into one short forward contract costing 0. A short forward contract means that the investor owes the counterparty the stock at time T. The initial cost of the trades at the initial time sum to zero. At time T the investor can reverse the trades that were executed at time t. Specifically, and mirroring the trades 1., 2. and 3. the investor 1. ' repays the loan to the bank. The inflow to the investor is − Ste
r(T − t)

;

2. ' settles the short forward contract by selling the stock for Ft,T. The cash inflow to the investor is now Ft,T because the buyer receives ST from the investor. The sum of the inflows in 1.' and 2.' equals Ft,T − Ste , which by hypothesis, is positive. This is an arbitrage profit. Consequently, and assuming that the nonarbitrage condition holds, we have a contradiction. This is called a cash and carry arbitrage because you "carry" the stock until maturity. Case 2: Suppose that Ft,T < Ste . Then an investor can do the reverse of what he has done above in case 1. But if you look at the convenience yield page, you will see that if there are finite stocks/inventory, the reverse cash and carry arbitrage is not always possible. It would depend on the elasticity of demand for forward contracts and such like.
r(T − t) r(T − t)

Extensions to the forward pricing formula
Suppose that FVT(X) is the time value of cash flows X at the contract expiration time T. The forward price is then given by the formula:

The cash flows can be in the form of dividends from the asset, or costs of maintaining the asset.

If these price relationships do not hold, there is an arbitrage opportunity for a riskless profit similar to that discussed above. One implication of this is that the presence of a forward market will force spot prices to reflect current expectations of future prices. As a result, the forward price for nonperishable commodities, securities or currency is no more a predictor of future price than the spot price is - the relationship between forward and spot prices is driven by interest rates. For perishable commodities, arbitrage does not have this The above forward pricing formula can also be written as:

Ft,T = (St − It)er(T − t)
Where It is the time t value of all cash flows over the life of the contract. For more details about pricing, see forward price.

FUTURES CONTRACT
In finance, a futures contract is a standardized contract between two parties to exchange a specified asset of standardized quantity and quality for a price agreed today (the futures price or the strike price) with delivery occurring at a specified future date, the delivery date. The contracts are traded on a futures exchange. The party agreeing to buy the underlying asset in the future, the "buyer" of the contract, is said to be "long", and the party agreeing to sell the asset in the future, the "seller" of the contract, is said to be "short". The terminology reflects the expectations of the parties -- the buyer hopes or expects that the asset price is going to increase, while the seller hopes or expects that it will decrease. Note that the contract itself costs nothing to enter; the buy/sell terminology is a linguistic convenience reflecting the position each party is taking (long or short). In many cases, the underlying asset to a futures contract may not be traditional commodities at all – that is, for financial futures the underlying asset or item can becurrencies, securities or financial instruments and intangible assets or referenced items such as stock indexes and interest rates. While the futures contract specifies a trade taking place in the future, the purpose of the futures exchange institution is to act as intermediary and minimize the risk of default by either party. Thus the exchange requires both parties to put up an initial amount of cash, the margin. Additionally, since the futures price will generally change daily, the difference in the prior agreed-upon price and the daily futures price is settled daily also. The exchange will draw money out of one party's margin account and put it into the other's so that each party has the appropriate daily loss or profit. If the margin account goes below a certain value, then a margin call is made and the account owner must replenish the margin account. This process is known as marking to market. Thus on the delivery date, the amount exchanged is not the specified price on the contract but the spot value (since any gain or loss has already been previously settled by marking to market). A closely related contract is a forward contract. A forward is like a futures in that it specifies the exchange of goods for a specified price at a specified future date. However, a forward is not traded on an exchange and thus does not have the interim partial payments due to marking to market. Nor is the contract standardized, as on the exchange. Unlike an option, both parties of a futures contract must fulfill the contract on the delivery date. The seller delivers the underlying asset to the buyer, or, if it is a cash-settled futures contract, then cash is transferred from the futures trader who sustained a loss to the one who made a profit. To exit the commitment prior to the settlement date, the holder of a futures position can close out its contract obligations by taking the opposite position on another futures contract on the same asset and settlement date. The difference in futures prices is then a profit or loss. Aristotle described the story of Thales, a poor philosopher from Miletus who developed a "financial device, which involves a principle of universal application". Thales used his skill in forecasting and predicted that

the olive harvest would be exceptionally good the next autumn. Confident in his prediction, he made agreements with local olive press owners to deposit his money with them to guarantee him exclusive use of their olive presses when the harvest was ready. Thales successfully negotiated low prices because the harvest was in the future and no one knew whether the harvest would be plentiful or poor and because the olive press owners were willing to hedge against the possibility of a poor yield. When the harvest time came, and many presses were wanted concurrently and suddenly, he let them out at any rate he pleased, and made a large quantity of money.[1] The first futures exchange market was the Dōjima Rice Exchange in Japan in the 1730s, to meet the needs of samurai who—being paid in rice, and after a series of bad harvests—needed a stable conversion to coin.[2] The Chicago Board of Trade (CBOT) listed the first ever standardized 'exchange traded' forward contracts in 1864, which were called futures contracts. This contract was based on grain trading and started a trend that saw contracts created on a number of different commodities as well as a number of futures exchanges set up in countries around the world.[3] By 1875 cotton futures were being traded in Mumbai in India and within a few years this had expanded to futures on edible oilseeds complex, raw jute and jute goods and bullion.[4]

[edit]Standardization
Futures contracts ensure their liquidity by being highly standardized, usually by specifying:



The underlying asset or instrument. This could be anything from a barrel of crude oil to a short term interest rate.

 

The type of settlement, either cash settlement or physical settlement. The amount and units of the underlying asset per contract. This can be the notional amount of bonds, a fixed number of barrels of oil, units of foreign currency, the notional amount of the deposit over which the short term interest rate is traded, etc.

 

The currency in which the futures contract is quoted. The grade of the deliverable. In the case of bonds, this specifies which bonds can be delivered. In the case of physical commodities, this specifies not only the quality of the underlying goods but also the manner and location of delivery. For example, the NYMEX Light Sweet Crude Oil contract specifies the acceptable sulphur content and API specific gravity, as well as the pricing point -- the location where delivery must be made.

  

The delivery month. The last trading date. Other details such as the commodity tick, the minimum permissible price fluctuation.

[edit]Margin

To minimize credit risk to the exchange, traders must post a margin or a performance bond, typically 5%-15% of the contract's value. To minimize counterparty risk to traders, trades executed on regulated futures exchanges are guaranteed by a clearing house. The clearing house becomes the buyer to each seller, and the seller to each buyer, so that in the event of a counterparty default the clearer assumes the risk of loss. This enables traders to transact without performing due diligence on their counterparty. Margin requirements are waived or reduced in some cases for hedgers who have physical ownership of the covered commodity or spread traders who have offsetting contracts balancing the position. Clearing margin are financial safeguards to ensure that companies or corporations perform on their customers' open futures and options contracts. Clearing margins are distinct from customer margins that individual buyers and sellers of futures and options contracts are required to deposit with brokers. Customer margin Within the futures industry, financial guarantees required of both buyers and sellers of futures contracts and sellers of options contracts to ensure fulfillment of contract obligations. Futures Commission Merchants are responsible for overseeing customer margin accounts. Margins are determined on the basis of market risk and contract value. Also referred to as performance bond margin. Initial margin is the equity required to initiate a futures position. This is a type of performance bond. The maximum exposure is not limited to the amount of the initial margin, however the initial margin requirement is calculated based on the maximum estimated change in contract value within a trading day. Initial margin is set by the exchange.

If a position involves an exchange-traded product, the amount or percentage of initial margin is set by the exchange concerned. In case of loss or if the value of the initial margin is being eroded, the broker will make a margin call in order to restore the amount of initial margin available. Often referred to as ―variation margin‖, margin called for this reason is usually done on a daily basis, however, in times of high volatility a broker can make a margin call or calls intra-day. Calls for margin are usually expected to be paid and received on the same day. If not, the broker has the right to close sufficient positions to meet the amount called by way of margin. After the position is closed-out the client is liable for any resulting deficit in the client’s account. Some U.S. exchanges also use the term ―maintenance margin‖, which in effect defines by how much the value of the initial margin can reduce before a margin call is made. However, most non-US brokers only use the term ―initial margin‖ and ―variation margin‖. The Initial Margin requirement is established by the Futures exchange, in contrast to other securities Initial Margin (which is set by the Federal Reserve in the U.S. Markets). A futures account is marked to market daily. If the margin drops below the margin maintenance requirement established by the exchange listing the futures, a margin call will be issued to bring the account back up to the required level. Maintenance margin A set minimum margin per outstanding futures contract that a customer must maintain in his margin account. Margin-equity ratio is a term used by speculators, representing the amount of their trading capital that is being held as margin at any particular time. The low margin requirements of futures results in substantial leverage of the investment. However, the exchanges require a minimum amount that varies depending on the contract and the trader. The broker may set the requirement higher, but may not set it lower. A trader, of course, can set it above that, if he does not want to be subject to margin calls. Performance bond margin The amount of money deposited by both a buyer and seller of a futures contract or an options seller to ensure performance of the term of the contract. Margin in commodities is not a payment of equity or down payment on the commodity itself, but rather it is a security deposit. Return on margin (ROM) is often used to judge performance because it represents the gain or loss compared to the exchange’s perceived risk as reflected in required margin. ROM may be calculated (realized return) / (initial margin). The Annualized ROM is equal to (ROM+1)(year/trade_duration)-1. For example if a trader earns 10% on margin in two months, that would be about 77% annualized.

[edit]Settlement

- physical versus cash-settled futures

Settlement is the act of consummating the contract, and can be done in one of two ways, as specified per type of futures contract:



Physical delivery - the amount specified of the underlying asset of the contract is delivered by the seller of the contract to the exchange, and by the exchange to the buyers of the contract. Physical delivery is common with commodities and bonds. In practice, it occurs only on a minority of contracts. Most are cancelled out by purchasing a covering position - that is, buying a contract to cancel out an earlier sale (covering a short), or selling a contract to liquidate an earlier purchase (covering a long). The Nymex crude futures contract uses this method of settlement upon expiration



Cash settlement - a cash payment is made based on the underlying reference rate, such as a short term interest rate index such as Euribor, or the closing value of a stock market index. The parties settle by paying/receiving the loss/gain related to the contract in cash when the contract expires.[5] Cash settled futures are those that, as a practical matter, could not be settled by delivery of the referenced item - i.e. how would one deliver an index? A futures contract might also opt to settle against an index based on trade in a related spot market. Ice Brent futures use this method.

Expiry (or Expiration in the U.S.) is the time and the day that a particular delivery month of a futures contract stops trading, as well as the final settlement price for that contract. For many equity index and interest rate futures contracts (as well as for most equity options), this happens on the third Friday of certain trading months. On this day the t+1 futures contract becomes the t futures contract. For example, for most CME and CBOT contracts, at the expiration of the December contract, the March futures become the nearest contract. This is an exciting time for arbitrage desks, which try to make quick profits during the short period (perhaps 30 minutes) during which the underlying cash price and the futures price sometimes struggle to converge. At this moment the futures and the underlying assets are extremely liquid and any disparity between an index and an underlying asset is quickly traded by arbitrageurs. At this moment also, the increase in volume is caused by traders rolling over positions to the next contract or, in the case of equity index futures, purchasing underlying components of those indexes to hedge against current index positions. On the expiry date, a European equity arbitrage trading desk in London or Frankfurt will see positions expire in as many as eight major markets almost every half an hour.

[edit]Pricing
When the deliverable asset exists in plentiful supply, or may be freely created, then the price of a futures contract is determined via arbitrage arguments. This is typical for stock index futures, treasury bond futures, and futures on physical commodities when they are in supply (e.g. agricultural crops after the harvest). However, when the deliverable commodity is not in plentiful supply or when it does not yet exist - for example on crops before the harvest or on Eurodollar Futures or Federal funds rate futures (in which the supposed underlying instrument is to be created upon the delivery date) - the futures price cannot be fixed by arbitrage. In

this scenario there is only one force setting the price, which is simple supply and demand for the asset in the future, as expressed by supply and demand for the futures contract.

[edit]Arbitrage

arguments

Arbitrage arguments ("Rational pricing") apply when the deliverable asset exists in plentiful supply, or may be freely created. Here, the forward price represents the expected future value of the underlying discounted at the risk free rate—as any deviation from the theoretical price will afford investors a riskless profit opportunity and should be arbitraged away. Thus, for a simple, non-dividend paying asset, the value of the future/forward, F(t), will be found by compounding the present value S(t) at time t to maturity T by the rate of risk-free return r.

or, with continuous compounding

This relationship may be modified for storage costs, dividends, dividend yields, and convenience yields. In a perfect market the relationship between futures and spot prices depends only on the above variables; in practice there are various market imperfections (transaction costs, differential borrowing and lending rates, restrictions on short selling) that prevent complete arbitrage. Thus, the futures price in fact varies within arbitrage boundaries around the theoretical price.

[edit]Pricing

via expectation

When the deliverable commodity is not in plentiful supply (or when it does not yet exist) rational pricing cannot be applied, as the arbitrage mechanism is not applicable. Here the price of the futures is determined by today's supply and demand for the underlying asset in the futures. In a deep and liquid market, supply and demand would be expected to balance out at a price which represents an unbiased expectation of the future price of the actual asset and so be given by the simple relationship. . By contrast, in a shallow and illiquid market, or in a market in which large quantities of the deliverable asset have been deliberately withheld from market participants (an illegal action known ascornering the market), the market clearing price for the futures may still represent the balance between supply and demand but the relationship between this price and the expected future price of the asset can break down.

[edit]Relationship

between arbitrage arguments and expectation

The expectation based relationship will also hold in a no-arbitrage setting when we take expectations with respect to the risk-neutral probability. In other words: a futures price is martingale with respect to the risk-neutral probability. With this pricing rule, a speculator is expected to break even when the futures market fairly prices the deliverable commodity.

[edit]Contango

and backwardation

The situation where the price of a commodity for future delivery is higher than the spot price, or where a far future delivery price is higher than a nearer future delivery, is known as contango. The reverse, where the price of a commodity for future delivery is lower than the spot price, or where a far future delivery price is lower than a nearer future delivery, is known as backwardation.

Futures contracts and exchanges
Contracts There are many different kinds of futures contracts, reflecting the many different kinds of "tradable" assets about which the contract may be based such as commodities, securities (such as single-stock futures), currencies or intangibles such as interest rates and indexes. For information on futures markets in specific underlying commodity markets, follow the links. For a list of tradable commodities futures contracts, see List of traded commodities. See also the futures exchange article.

    

Foreign exchange market Money market Bond market Equity market Soft Commodities market

Trading on commodities began in Japan in the 18th century with the trading of rice and silk, and similarly in Holland with tulip bulbs. Trading in the US began in the mid 19th century, when central grain markets were established and a marketplace was created for farmers to bring their commodities and sell them either for immediate delivery (also called spot or cash market) or for forward delivery. These forward contracts were private contracts between buyers and sellers and became the forerunner to today's exchange-traded futures contracts. Although contract trading began with traditional commodities such as grains, meat and livestock, exchange trading has

expanded to include metals, energy, currency and currency indexes, equities and equity indexes, government interest rates and private interest rates. Exchanges Contracts on financial instruments were introduced in the 1970s by the Chicago Mercantile Exchange (CME) and these instruments became hugely successful and quickly overtook commodities futures in terms of trading volume and global accessibility to the markets. This innovation led to the introduction of many new futures exchanges worldwide, such as the London International Financial Futures Exchange in 1982 (now Euronext.liffe), Deutsche Terminbörse (now Eurex) and the Tokyo Commodity Exchange (TOCOM). Today, there are more than 90 futures and futures options exchanges worldwide trading to include:
[6]



CME Group (formerly CBOT and CME) -- Currencies, Various Interest Rate derivatives (including US Bonds); Agricultural (Corn, Soybeans, Soy Products, Wheat, Pork, Cattle, Butter, Milk); Index (Dow Jones Industrial Average); Metals (Gold, Silver), Index (NASDAQ, S&P, etc.)



IntercontinentalExchange (ICE Futures Europe) - formerly the International Petroleum Exchange trades energy including crude oil, heating oil, natural gas and unleaded gas



NYSE Euronext - which absorbed Euronext into which London International Financial Futures and Options Exchange or LIFFE (pronounced 'LIFE') was merged. (LIFFE had taken over London Commodities Exchange ("LCE") in 1996)- softs: grains and meats. Inactive market in Baltic Exchange shipping. Index futures include EURIBOR, FTSE 100, CAC 40, AEX index.

    

South African Futures Exchange - SAFEX Sydney Futures Exchange Tokyo Stock Exchange TSE (JGB Futures, TOPIX Futures) Tokyo Commodity Exchange TOCOM Tokyo Financial Exchange - TFX - (Euroyen Futures, OverNight CallRate Futures, SpotNext RepoRate Futures)

  

Osaka Securities Exchange OSE (Nikkei Futures, RNP Futures) London Metal Exchange - metals: copper, aluminium, lead, zinc, nickel, tin and steel IntercontinentalExchange (ICE Futures U.S.) - formerly New York Board of Trade softs: cocoa, coffee, cotton, orange juice, sugar



New York Mercantile Exchange CME Group- energy and metals: crude oil, gasoline, heating oil, natural gas, coal, propane, gold, silver, platinum, copper, aluminum and palladium

  

Dubai Mercantile Exchange Korea Exchange - KRX Singapore Exchange - SGX - into which merged Singapore International Monetary Exchange (SIMEX)



ROFEX - Rosario (Argentina) Futures Exchange

Codes
Most Futures contracts codes are four characters. The first two characters identify the contract type, the third character identifies the month and the last character is the last digit of the year. Third (month) futures contract codes are

           

January = F February = G March = H April = J May = K June = M July = N August = Q September = U October = V November = X December = Z

Example: CLX0 is a Crude Oil (CL), November (X) 2010 (0) contract.

Who trades futures?
Futures traders are traditionally placed in one of two groups: hedgers, who have an interest in the underlying asset (which could include an intangible such as an index or interest rate) and are seeking to hedge out the risk of price changes; and speculators, who seek to make a profit by predicting market moves and opening a derivative contract related to the asset "on paper", while they have no practical use for or intent to actually take or make delivery of the underlying asset. In other words, the investor is seeking exposure to the asset in a long futures or the opposite effect via a short futures contract.

Hedgers
Hedgers typically include producers and consumers of a commodity or the owner of an asset or assets subject to certain influences such as an interest rate. For example, in traditional commodity markets, farmers often sell futures contracts for the crops and livestock they produce to guarantee a certain price, making it easier for them to plan. Similarly, livestock producers often purchase futures to cover their feed costs, so that they can plan on a fixed cost for feed. In modern (financial) markets, "producers" of interest rate swaps or equity derivativeproducts will use financial futures or equity index futures to reduce or remove the risk on the swap.

Speculators
Speculators typically fall into three categories: position traders, day traders, and swing traders (swing trading), though many hybrid types and unique styles exist. In general position traders hold positions for the long term (months to years), day traders (or active traders) enter multiple trades during the day and will have exited all positions by market close, and swing traders aim to buy or sell at the bottom or top of price swings.[7] With many investors pouring into the futures markets in recent years controversy has risen about whether speculators are responsible for increased volatility in commodities like oil, and experts are divided on the matter.
[8]

An example that has both hedge and speculative notions involves a mutual fund or separately managed account whose investment objective is to track the performance of a stock index such as the S&P 500 stock index. The Portfolio manager often "equitizes" cash inflows in an easy and cost effective manner by investing in (opening long) S&P 500 stock index futures. This gains the portfolio exposure to the index which is consistent with the fund or account investment objective without having to buy an appropriate proportion of each of the individual 500 stocks just yet. This also preserves balanced diversification, maintains a higher degree of the percent of assets invested in the market and helps reduce tracking error in the performance of the fund/account. When it is economically feasible (an efficient amount of shares of every individual position within the fund or account can be purchased), the portfolio manager can close the contract and make purchases of each individual stock. The social utility of futures markets is considered to be mainly in the transfer of risk, and increased liquidity between traders with different risk and time preferences, from a hedger to a speculator, for example.

Options on futures

In many cases, options are traded on futures, sometimes called simply "futures options". A put is the option to sell a futures contract, and a call is the option to buy a futures contract. For both, the option strike price is the specified futures price at which the future is traded if the option is exercised. Futures are often used since they are delta one instruments. Calls and options on futures may be priced similarly to those on traded assets by using an extension of the BlackScholes formula, namely Black's formula for futures. Investors can either take on the role of option seller/option writer or the option buyer. Option sellers are generally seen as taking on more risk because they are contractually obligated to take the opposite futures position if the options buyer exercises his or her right to the futures position specified in the option. The price of an option is determined by supply and demand principles and consists of the option premium, or the price paid to the option seller for offering the option and taking on risk. [9]

Futures contract regulations
All futures transactions in the United States are regulated by the Commodity Futures Trading Commission (CFTC), an independent agency of the United States government. The Commission has the right to hand out fines and other punishments for an individual or company who breaks any rules. Although by law the commission regulates all transactions, each exchange can have its own rule, and under contract can fine companies for different things or extend the fine that the CFTC hands out. The CFTC publishes weekly reports containing details of the open interest of market participants for each market-segment that has more than 20 participants. These reports are released every Friday (including data from the previous Tuesday) and contain data on open interest split by reportable and non-reportable open interest as well as commercial and non-commercial open interest. This type of report is referred to as the 'Commitments of Traders Report', COT-Report or simply COTR.

Definition of futures contract
Following Björk[10] we give a definition of a futures contract. We describe a futures contract with delivery of item J at the time T:



There exists in the market a quoted price F(t,T), which is known as the futures price at time t for delivery of J at time T.



The price of entering a futures contract is equal to zero.



During any time interval [t,s], the holder receives the amount F(s,T) instantaneous marking to market)

− F(t,T). (this reflects



At time T, the holder pays F(T,T) and is entitled to receive J. Note that F(T,T) should be the spot price of J at time T.

Nonconvergence
This section may contain original research. Please improve it by verifying the claims made and adding references. Statements consisting only of original research may be removed. More details may be available on the talk page. (April 2008)
Some exchanges tolerate 'nonconvergence', the failure of futures contracts and the value of the physical commodities they represent to reach the same value on 'contract settlement' day at the designated delivery points. An example of this is the CBOT (Chicago Board of Trade) Soft Red Winter wheat (SRW) futures. SRW futures have settled more than 20¢ apart on settlement day and as much as $1.00 difference between settlement days. Only a few participants holding CBOT SRW futures contracts are qualified by the CBOT to make or receive delivery of commodities to settle futures contracts. Therefore, it's impossible for almost any individual producer to 'hedge' efficiently when relying on the final settlement of a futures contract for SRW. The trend is for the CBOT to continue to restrict those entities that can actually participate in settling commodities contracts to those that can ship or receive large quantities of railroad cars and multiple barges at a few selected sites. TheCommodity Futures Trading Commission, which has oversight of the futures market in the United States, has made no comment as to why this trend is allowed to continue since economic theory and CBOT publications maintain that convergence of contracts with the price of the underlying commodity they represent is the basis of integrity for a futures market. It follows that the function of 'price discovery', the ability of the markets to discern the appropriate value of a commodity reflecting current conditions, is degraded in relation to the discrepancy in price and the inability of producers to enforce contracts with the commodities they represent.[11]

Futures versus forwards
While futures and forward contracts are both contracts to deliver an asset on a future date at a prearranged price, they are different in two main respects:



Futures are exchange-traded, while forwards are traded over-the-counter.

Thus futures are standardized and face an exchange, while forwards are customized and face a non-exchange counterparty.



Futures are margined, while forwards are not.

Thus futures have significantly less credit risk, and have different funding.

Exchange versus OTC
Futures are always traded on an exchange, whereas forwards always trade over-the-counter, or can simply be a signed contract between two parties. Thus:



Futures are highly standardized, being exchange-traded, whereas forwards can be unique, being over-the-counter.



In the case of physical delivery, the forward contract specifies to whom to make the delivery. The counterparty for delivery on a futures contract is chosen by the clearing house.

Margining
For more details on Margin, see Margin (finance). Futures are margined daily to the daily spot price of a forward with the same agreed-upon delivery price and underlying asset (based on mark to market). Forwards do not have a standard. They may transact only on the settlement date. More typical would be for the parties to agree to true up, for example, every quarter. The fact that forwards are not margined daily means that, due to movements in the price of the underlying asset, a large differential can build up between the forward's delivery price and the settlement price, and in any event, an unrealized gain (loss) can build up. Again, this differs from futures which get 'trued-up' typically daily by a comparison of the market value of the future to the collateral securing the contract to keep it in line with the brokerage margin requirements. This true-ing up occurs by the "loss" party providing additional collateral; so if the buyer of the contract incurs a drop in value, the shortfall or variation margin would typically be shored up by the investor wiring or depositing additional cash in the brokerage account. In a forward though, the spread in exchange rates is not trued up regularly but, rather, it builds up as unrealized gain (loss) depending on which side of the trade being discussed. This means that entire unrealized gain (loss) becomes realized at the time of delivery (or as what typically occurs, the time the contract is closed prior to expiration) - assuming the parties must transact at the underlying currency's spot price to facilitate receipt/delivery. The result is that forwards have higher credit risk than futures, and that funding is charged differently. In most cases involving institutional investors, the daily variation margin settlement guidelines for futures call for actual money movement only above some insignificant amount to avoid wiring

back and forth small sums of cash. The threshold amount for daily futures variation margin for institutional investors is often $1,000. The situation for forwards, however, where no daily true-up takes place in turn creates credit risk for forwards, but not so much for futures. Simply put, the risk of a forward contract is that the supplier will be unable to deliver the referenced asset, or that the buyer will be unable to pay for it on the delivery date or the date at which the opening party closes the contract. The margining of futures eliminates much of this credit risk by forcing the holders to update daily to the price of an equivalent forward purchased that day. This means that there will usually be very little additional money due on the final day to settle the futures contract: only the final day's gain or loss, not the gain or loss over the life of the contract. In addition, the daily futures-settlement failure risk is borne by an exchange, rather than an individual party, further limiting credit risk in futures. Example: Consider a futures contract with a $100 price: Let's say that on day 50, a futures contract with a $100 delivery price (on the same underlying asset as the future) costs $88. On day 51, that futures contract costs $90. This means that the "mark-to-market" calculation would requires the holder of one side of the future to pay $2 on day 51 to track the changes of the forward price ("post $2 of margin"). This money goes, via margin accounts, to the holder of the other side of the future. That is, the loss party wires cash to the other party. A forward-holder, however, may pay nothing until settlement on the final day, potentially building up a large balance; this may be reflected in the mark by an allowance for credit risk. So, except for tiny effects of convexity bias (due to earning or paying interest on margin), futures and forwards with equal delivery prices result in the same total loss or gain, but holders of futures experience that loss/gain in daily increments which track the forward's daily price changes, while the forward's spot price converges to the settlement price. Thus, while under mark to market accounting, for both assets the gain or loss accrues over the holding period; for a futures this gain or loss is realized daily, while for a forward contract the gain or loss remains unrealized until expiry. Note that, due to the path dependence of funding, a futures contract is not, strictly speaking, a European-style derivative: the total gain or loss of the trade depends not only on the value of the underlying asset at expiry, but also on the path of prices on the way. This difference is generally quite small though.

OPTION
In finance, an option is a derivative financial instrument that specifies a contract between two parties for [1] a future transaction on an asset at a reference price. The buyer of the option gains the right, but not the obligation, to engage in that transaction, while the seller incurs the corresponding obligation to fulfill the transaction. The price of an option derives from the difference between the reference price and the value of the underlying asset (commonly a stock, a bond, a currency or a futures contract) plus a premium based on the time remaining until the expiration of the option. Other types of options exist, and options can in principle be created for any type of valuable asset. An option which conveys the right to buy something at a specific price is called a call; an option which conveys the right to sell something at a specific price is called aput. The reference price at which the underlying asset may be traded is called the strike price or exercise price. The process of activating an option and thereby trading the underlying at the agreed-upon price is referred to as exercising it. Most options have an expiration date. If the option is not exercised by the expiration date, it becomes void and [1] worthless. In return for assuming the obligation, called writing the option, the originator of the option collects a payment, the premium, from the buyer. The writer of an option must make good on delivering (or receiving) the underlying asset or its cash equivalent, if the option is exercised. An option can usually be sold by its original buyer to another party. Many options are created in standardized form and traded on an anonymous options exchange among the general public, while other over-the-counter options are customized ad hoc to the desires of the buyer, usually by [2][3] an investment bank.

Contract specifications
Every financial option is a contract between the two counterparties with the terms of the option specified in a term sheet. Option contracts may be quite complicated; however, at minimum, they usually contain [4] the following specifications:       whether the option holder has the right to buy (a call option) or the right to sell (a put option) the quantity and class of the underlying asset(s) (e.g., 100 shares of XYZ Co. B stock) the strike price, also known as the exercise price, which is the price at which the underlying transaction will occur upon exercise the expiration date, or expiry, which is the last date the option can be exercised the settlement terms, for instance whether the writer must deliver the actual asset on exercise, or may simply tender the equivalent cash amount the terms by which the option is quoted in the market to convert the quoted price into the actual premium – the total amount paid by the holder to the writer

Types
The Options can be classified into following types:

Exchange-traded options
 Exchange-traded options (also called "listed options") are a class of exchange-traded derivatives. Exchange traded options have standardized contracts, and are settled through a clearing housewith fulfillment guaranteed by the credit of the exchange. Since the contracts are standardized, accurate [5][6] pricing models are often available. Exchange-traded options include:       stock options, commodity options, bond options and other interest rate options stock market index options or, simply, index options and options on futures contracts callable bull/bear contract

Over-the-counter
 Over-the-counter options (OTC options, also called "dealer options") are traded between two private parties, and are not listed on an exchange. The terms of an OTC option are unrestricted and may be individually tailored to meet any business need. In general, at least one of the counterparties to an OTC option is a well-capitalized institution. Option types commonly traded over the counter include: 1. interest rate options 2. currency cross rate options, and 3. options on swaps or swaptions.

Other option types
Another important class of options, particularly in the U.S., are employee stock options, which are awarded by a company to their employees as a form of incentive compensation. Other types of options exist in many financial contracts, for example real estate options are often used to assemble large parcels of land, and prepayment options are usually included in mortgage loans. However, many of the valuation and risk management principles apply across all financial options.

Option styles
Main article: Option style Naming conventions are used to help identify properties common to many different types of options. These include:    European option – an option that may only be exercised on expiration. American option – an option that may be exercised on any trading day on or before expiry. Bermudan option – an option that may be exercised only on specified dates on or before expiration.

  

Barrier option – any option with the general characteristic that the underlying security's price must pass a certain level or "barrier" before it can be exercised. Exotic option – any of a broad category of options that may include complex financial structures. Vanilla option – any option that is not exotic.
[7]

Valuation models
Main article: Valuation of options The value of an option can be estimated using a variety of quantitative techniques based on the concept of risk neutral pricing and using stochastic calculus. The most basic model is the Black-Scholesmodel. More sophisticated models are used to model the volatility smile. These models are implemented using a [8] variety of numerical techniques. In general, standard option valuation models depend on the following factors:      The current market price of the underlying security, the strike price of the option, particularly in relation to the current market price of the underlying (in the money vs. out of the money), the cost of holding a position in the underlying security, including interest and dividends, the time to expiration together with any restrictions on when exercise may occur, and an estimate of the future volatility of the underlying security's price over the life of the option.

More advanced models can require additional factors, such as an estimate of how volatility changes over time and for various underlying price levels, or the dynamics of stochastic interest rates. The following are some of the principal valuation techniques used in practice to evaluate option contracts.

Black-Scholes
Main article: Black–Scholes Following early work by Louis Bachelier and later work by Edward O. Thorp, Fischer Black and Myron Scholes made a major breakthrough by deriving a differential equation that must be satisfied by the price of any derivative dependent on a non-dividend-paying stock. By employing the technique of constructing a risk neutral portfolio that replicates the returns of holding an option, Black and Scholes produced a [9] closed-form solution for a European option's theoretical price. At the same time, the model generates hedge parameters necessary for effective risk management of option holdings. While the ideas behind the Black-Scholes model were ground-breaking and eventually led to Scholes and Merton receiving the Swedish Central Bank's associated Prize for Achievement in [10] Economics (a.k.a., the Nobel Prize in Economics), the application of the model in actual options trading is clumsy because of the assumptions of continuous (or no) dividend payment, constant volatility, and a constant interest rate. Nevertheless, the Black-Scholes model is still one of the most important methods [11] and foundations for the existing financial market in which the result is within the reasonable range.

Stochastic volatility models
Main article: Heston model Since the market crash of 1987, it has been observed that market implied volatility for options of lower strike prices are typically higher than for higher strike prices, suggesting that volatility is stochastic, varying both for time and for the price level of the underlying security. Stochastic volatility models have

been developed including one developed by S.L. Heston. One principal advantage of the Heston model is that it can be solved in closed-form, while other stochastic volatility models require complex numerical [12] methods. See also: SABR Volatility Model

[12]

Model implementation
Further information: Valuation of options Once a valuation model has been chosen, there are a number of different techniques used to take the mathematical models to implement the models.

Analytic techniques
In some cases, one can take the mathematical model and using analytical methods develop closed form solutions such as Black-Scholes and the Black model. The resulting solutions are readily computable, as are their "Greeks".

Binomial tree pricing model
Main article: Binomial options pricing model Closely following the derivation of Black and Scholes, John Cox, Stephen Ross and Mark [13] [14] Rubinstein developed the original version of the binomial options pricing model. It models the dynamics of the option's theoretical value for discrete time intervals over the option's life. The model starts with a binomial tree of discrete future possible underlying stock prices. By constructing a riskless portfolio of an option and stock (as in the Black-Scholes model) a simple formula can be used to find the option price at each node in the tree. This value can approximate the theoretical value produced by Black Scholes, to the desired degree of precision. However, the binomial model is considered more accurate than Black-Scholes because it is more flexible; e.g., discrete future dividend payments can be modeled correctly at the proper forward time steps, and American options can be modeled as well as European ones. Binomial models are widely used by professional option traders. TheTrinomial tree is a similar model, allowing for an up, down or stable path; although considered more accurate, particularly when fewer time-steps are modelled, it is less commonly used as its implementation is more complex.

Monte Carlo models
Main article: Monte Carlo methods for option pricing For many classes of options, traditional valuation techniques are intractable because of the complexity of the instrument. In these cases, a Monte Carlo approach may often be useful. Rather than attempt to solve the differential equations of motion that describe the option's value in relation to the underlying security's price, a Monte Carlo model uses simulation to generate random price paths of the underlying asset, each of which results in a payoff for the option. The average of these payoffs can be discounted to yield [15] an expectation value for the option. Note though, that despite its flexibility, using simulation for American styled options is somewhat more complex than for lattice based models.

Finite difference models
Main article: Finite difference methods for option pricing The equations used to model the option are often expressed as partial differential equations (see for example Black–Scholes PDE). Once expressed in this form, a finite difference model can be derived, and

the valuation obtained. A number of implementations of finite difference methods exist for option valuation, including: explicit finite difference, implicit finite difference and the Crank-Nicholson method. A trinomial tree option pricing model can be shown to be a simplified application of the explicit finite difference method. Although the finite difference approach is mathematically sophisticated, it is particularly useful where changes are assumed over time in model inputs – for example dividend yield, risk free rate, or volatility, or some combination of these – that are not tractable in closed form.

Other models
Other numerical implementations which have been used to value options include finite element methods. Additionally, various short rate models have been developed for the valuation of interest rate derivatives, bond options and swaptions. These, similarly, allow for closed-form, lattice-based, and simulation-based modelling, with corresponding advantages and considerations.

Risks
As with all securities, trading options entails the risk of the option's value changing over time. However, unlike traditional securities, the return from holding an option varies non-linearly with the value of the underlying and other factors. Therefore, the risks associated with holding options are more complicated to understand and predict. In general, the change in the value of an option can be derived from Ito's lemma as:

where the Greeks Δ, Γ, κ and θ are the standard hedge parameters calculated from an option valuation model, such as Black-Scholes, and dS, dσ and dt are unit changes in the underlying's price, the underlying's volatility and time, respectively. Thus, at any point in time, one can estimate the risk inherent in holding an option by calculating its hedge parameters and then estimating the expected change in the model inputs, dS, dσ and dt, provided the changes in these values are small. This technique can be used effectively to understand and manage the risks associated with standard options. For instance, by offsetting a holding in an option with the quantity − Δ of shares in the underlying, a trader can form a delta neutral portfolio that is hedged from loss for small changes in the underlying's price. The corresponding price sensitivity formula for this portfolio Π is:

Example
A call option expiring in 99 days on 100 shares of XYZ stock is struck at $50, with XYZ currently trading at $48. With future realized volatility over the life of the option estimated at 25%, the theoretical value of the option is $1.89. The hedge parameters Δ, Γ, κ, θ are (0.439, 0.0631, 9.6, and −0.022), respectively. Assume that on the following day, XYZ stock rises to $48.5 and volatility falls to 23.5%. We can calculate the estimated value of the call option by applying the hedge parameters to the new model inputs as:

Under this scenario, the value of the option increases by $0.0614 to $1.9514, realizing a profit of $6.14. Note that for a delta neutral portfolio, where by the trader had also sold 44 shares of XYZ stock as a hedge, the net loss under the same scenario would be ($15.86).

Pin risk
Main article: Pin risk A special situation called pin risk can arise when the underlying closes at or very close to the option's strike value on the last day the option is traded prior to expiration. The option writer (seller) may not know with certainty whether or not the option will actually be exercised or be allowed to expire worthless. Therefore, the option writer may end up with a large, unwanted residual position in the underlying when the markets open on the next trading day after expiration, regardless of their best efforts to avoid such a residual.

Counterparty risk
A further, often ignored, risk in derivatives such as options is counterparty risk. In an option contract this risk is that the seller won't sell or buy the underlying asset as agreed. The risk can be minimized by using a financially strong intermediary able to make good on the trade, but in a major panic or crash the number of defaults can overwhelm even the strongest intermediaries.

Trading
The most common way to trade options is via standardized options contracts that are listed [16] by various futures and options exchanges. Listings and prices are tracked and can be looked up byticker symbol. By publishing continuous, live markets for option prices, an exchange enables independent parties to engage in price discovery and execute transactions. As an intermediary to both sides of the transaction, the benefits the exchange provides to the transaction include:     fulfillment of the contract is backed by the credit of the exchange, which typically has the highest rating (AAA), counterparties remain anonymous, enforcement of market regulation to ensure fairness and transparency, and maintenance of orderly markets, especially during fast trading conditions.

Over-the-counter options contracts are not traded on exchanges, but instead between two independent parties. Ordinarily, at least one of the counterparties is a well-capitalized institution. By avoiding an exchange, users of OTC options can narrowly tailor the terms of the option contract to suit individual business requirements. In addition, OTC option transactions generally do not need to be advertised to the market and face little or no regulatory requirements. However, OTC counterparties must establish credit lines with each other, and conform to each others clearing and settlement procedures.

With few exceptions, there are no secondary markets for employee stock options. These must either be exercised by the original grantee or allowed to expire worthless.

[17]

The basic trades of traded stock options (American style)
These trades are described from the point of view of a speculator. If they are combined with other positions, they can also be used in hedging. An option contract in US markets usually [18] represents 100 shares of the underlying security.

Long call

Payoff from buying a call.

A trader who believes that a stock's price will increase might buy the right to purchase the stock (a call option) rather than just purchase the stock itself. He would have no obligation to buy the stock, only the right to do so until the expiration date. If the stock price at expiration is above the exercise price by more than the premium (price) paid, he will profit. If the stock price at expiration is lower than the exercise price, he will let the call contract expire worthless, and only lose the amount of the premium. A trader might buy the option instead of shares, because for the same amount of money, he can control (leverage) a much larger number of shares.

Long put

Payoff from buying a put.

A trader who believes that a stock's price will decrease can buy the right to sell the stock at a fixed price (a put option). He will be under no obligation to sell the stock, but has the right to do so until the expiration date. If the stock price at expiration is below the exercise price by more than the premium paid, he will profit. If the stock price at expiration is above the exercise price, he will let the put contract expire worthless and only lose the premium paid. [edit]Short

call

Payoff from writing a call.

A trader who believes that a stock price will decrease can sell the stock short or instead sell, or "write," a call. The trader selling a call has an obligation to sell the stock to the call buyer at the buyer's option. If the stock price decreases, the short call position will make a profit in the amount of the premium. If the stock price increases over the exercise price by more than the amount of the premium, the short will lose money, with the potential loss unlimited.

Short put

Payoff from writing a put.

A trader who believes that a stock price will increase can buy the stock or instead sell, or "write", a put. The trader selling a put has an obligation to buy the stock from the put buyer at the put buyer's option. If the stock price at expiration is above the exercise price, the short put position will make a profit in the amount of the premium. If the stock price at expiration is below the exercise price by more than the amount of the premium, the trader will lose money, with the potential loss being up to the full value of the stock. A benchmark index for the performance of a cash-secured short put option position is the CBOE S&P 500 PutWrite Index (ticker PUT).

Option strategies
Main article: Option strategies

Payoffs from buying a butterfly spread.

Payoffs from selling a straddle.

Payoffs from a covered call.

Combining any of the four basic kinds of option trades (possibly with different exercise prices and maturities) and the two basic kinds of stock trades (long and short) allows a variety of options strategies. Simple strategies usually combine only a few trades, while more complicated strategies can combine several. Strategies are often used to engineer a particular risk profile to movements in the underlying security. For example, buying a butterfly spread (long one X1 call, short two X2 calls, and long one X3 call) allows a trader to profit if the stock price on the expiration date is near the middle exercise price, X2, and does not expose the trader to a large loss. An Iron condor is a strategy that is similar to a butterfly spread, but with different strikes for the short options – offering a larger likelihood of profit but with a lower net credit compared to the butterfly spread. Selling a straddle (selling both a put and a call at the same exercise price) would give a trader a greater profit than a butterfly if the final stock price is near the exercise price, but might result in a large loss. Similar to the straddle is the strangle which is also constructed by a call and a put, but whose strikes are different, reducing the net debit of the trade, but also reducing the risk of loss in the trade. One well-known strategy is the covered call, in which a trader buys a stock (or holds a previously-purchased long stock position), and sells a call. If the stock price rises above the exercise price, the call will be exercised and the trader will get a fixed profit. If the stock price

falls, the call will not be exercised, and any loss incurred to the trader will be partially offset by the premium received from selling the call. Overall, the payoffs match the payoffs from selling a put. This relationship is known as put-call parity and offers insights for financial theory. A benchmark index for the performance of a buy-write strategy is the CBOE S&P 500 BuyWrite Index (ticker symbol BXM).

Historical uses of options
Contracts similar to options are believed to have been used since ancient times. In the real estate market, call options have long been used to assemble large parcels of land from separate owners; e.g., a developer pays for the right to buy several adjacent plots, but is not obligated to buy these plots and might not unless he can buy all the plots in the entire parcel. Film or theatrical producers often buy the right — but not the obligation — to dramatize a specific book or script. Lines of credit give the potential borrower the right — but not the obligation — to borrow within a specified time period. Many choices, or embedded options, have traditionally been included in bond contracts. For example many bonds are convertible into common stock at the buyer's option, or may be called (bought back) at specified prices at the issuer's option. Mortgage borrowers have long had the option to repay the loan early, which corresponds to a callable bond option. In London, puts and "refusals" (calls) first became well-known trading instruments in the [19] 1690s during the reign of William and Mary. Privileges were options sold over the counter in nineteenth century America, with both puts and calls on shares offered by specialized dealers. Their exercise price was fixed at a rounded-off market price on the day or week that the option was bought, and the expiry date was generally three months after purchase. They were not traded in secondary markets. Supposedly the first option buyer in the world was the ancient Greek mathematician and philosopher Thales of Miletus. On a certain occasion, it was predicted that the season's olive harvest would be larger than usual, and during the off-season he acquired the right to use a number of olive presses the following spring. When spring came and the olive harvest was larger than expected he exercised his options and then rented the presses out [20][21] at much higher price than he paid for his 'option'.

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