Derivative (finance)

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A derivative is a financial instrument - or more simply, an agreement between two people or two parties - that has a value determined by the price of something else (called the underlying).^[1] It is a financial contract with a value linked to the expected future price movements of the asset it is linked to - such as a share or a currency. There are many kinds of derivatives, with the most notable being swaps, futures, and options. However, since a derivative can be placed on any sort of security, the scope of all derivatives possible is nearly endless. Thus, the real definition of a derivative is an agreement between two parties that is contingent on a future outcome of the underlying.

Referring to derivatives as stand-alone assets would be a misconception, since a derivative is incapable of having value of its own. However, some more commonplace derivatives, such as swaps, futures, and options, (which have a theoretical face value that can be calculated using formulas, such as Black-Scholes), have been traded on markets before their expiration date as if they were assets. Amongst the earlier derivatives, rice futures have been traded on the Dojima Rice Exchange since 1710.

Contents 1 Categorization 2 Uses 2.1 Hedging 2.2 Speculation and arbitrage 3 Types of derivatives 3.1 OTC and exchange-traded 3.2 Common derivative contract types 3.3 Examples 4 Valuation 4.1 Market and arbitrage-free prices 4.2 Determining the market price 4.3 Determining the arbitrage-free price 5 Criticism 5.1 Possible large losses 5.2 Counter-party risk 5.3 Large notional value 5.4 Leverage of an economy's debt 6 Benefits 7 Definitions 8 See also 9 References

Categorization

Derivatives are usually broadly categorized by the:

• relationship between the underlying and the derivative (e.g., forward, option, swap)
• type of underlying (e.g., equity derivatives, foreign exchange derivatives, interest rate derivatives, commodity derivatives or credit derivatives)
• market in which they trade (e.g., exchange-traded or over-the-counter)
• pay-off profile (Some derivatives have non-linear payoff diagrams due to embedded optionality)

Another arbitrary distinction is between:^[2]

• vanilla derivatives (simple and more common) and
• exotic derivatives (more complicated and specialized)

There is no definitive rule for distinguishing one from the other, so the distinction is mostly a matter of custom.

Uses

Derivatives are used by investors to

• provide leverage or gearing, such that a small movement in the underlying value can cause a large difference in the value of the derivative
• speculate and to make a profit if the value of the underlying asset moves the way they expect (e.g., moves in a given direction, stays in or out of a specified range, reaches a certain level)
• hedge or mitigate risk in the underlying, by entering into a derivative contract whose value moves in the opposite direction to their underlying position and cancels part or all of it out
• obtain exposure to underlying where it is not possible to trade in the underlying (e.g., weather derivatives)
• create optionability where the value of the derivative is linked to a specific condition or event (e.g., the underlying reaching a specific price level)

Hedging

Hedging is a technique that attempts to reduce risk. In this respect, derivatives can be considered a form of insurance.

Derivatives allow risk about the price of the underlying asset to be transferred from one party to another. For example, a wheat farmer and a miller could sign a futures contract to exchange a specified amount of cash for a specified amount of wheat in the future. Both parties have reduced a future risk: for the wheat farmer, the uncertainty of the price, and for the miller, the availability of wheat. However, there is still the risk that no wheat will be available because of events unspecified by the contract, like the weather, or that one party will renege on the contract. Although a third party, called a clearing house, insures a futures contract, not all derivatives are insured against counter-party risk.

From another perspective, the farmer and the miller both reduce a risk and acquire a risk when they sign the futures contract: The farmer reduces the risk that the price of wheat will fall below the price specified in the contract and acquires the risk that the price of wheat will rise above the price specified in the contract (thereby losing additional income that he could have earned). The miller, on the other hand, acquires the risk that the price of wheat will fall below the price specified in the contract (thereby paying more in the future than he otherwise would) and reduces the risk that the price of wheat will rise above the price specified in the contract. In this sense, one party is the insurer (risk taker) for one type of risk, and the counter-party is the insurer (risk taker) for another type of risk.

Hedging also occurs when an individual or institution buys an asset (like a commodity, a bond that has coupon payments, a stock that pays dividends, and so on) and sells it using a futures contract. The individual or institution has access to the asset for a specified amount of time, and then can sell it in the future at a specified price according to the futures contract. Of course, this allows the individual or institution the benefit of holding the asset while reducing the risk that the future selling price will deviate unexpectedly from the market's current assessment of the future value of the asset.

Derivatives serve a legitimate business purpose. For example, a corporation borrows a large sum of money at a specific interest rate.^[3] The rate of interest on the loan resets every six months. The corporation is concerned that the rate of interest may be much higher in six months. The corporation could buy a forward rate agreement (FRA). A forward rate agreement is a contract to pay a fixed rate of interest six months after purchases on a notional sum of money.^[4] If the interest rate after six months is above the contract rate, the seller pays the difference to the corporation, or FRA buyer. If the rate is lower, the corporation would pay the difference to the seller. The purchase of the FRA would serve to reduce the uncertainty concerning the rate increase and stabilize earnings.

Speculation and arbitrage

Derivatives can be used to acquire risk, rather than to insure or hedge against risk. Thus, some individuals and institutions will enter into a derivative contract to speculate on the value of the underlying asset, betting that the party seeking insurance will be wrong about the future value of the underlying asset. Speculators will want to be able to buy an asset in the future at a low price according to a derivative contract when the future market price is high, or to sell an asset in the future at a high price according to a derivative contract when the future market price is low.

Individuals and institutions may also look for arbitrage opportunities, as when the current buying price of an asset falls below the price specified in a futures contract to sell the asset.

Speculative trading in derivatives gained a great deal of notoriety in 1995 when Nick Leeson, a trader at Barings Bank, made poor and unauthorized investments in futures contracts. Through a combination of poor judgment, lack of oversight by the bank's management and by regulators, and unfortunate events like the Kobe earthquake, Leeson incurred a $1.3 billion loss that bankrupted the centuries-old institution.^[5]

Types of derivatives

OTC and exchange-traded

In broad terms, there are two distinct groups of derivative contracts, which are distinguished by the way they are traded in the market:

• Over-the-counter (OTC) derivatives are contracts that are traded (and privately negotiated) directly between two parties, without going through an exchange or other intermediary. Products such as swaps, forward rate agreements, and exotic options are almost always traded in this way. The OTC derivative market is the largest market for derivatives, and is largely unregulated with respect to disclosure of information between the parties, since the OTC market is made up of banks and other highly sophisticated parties, such as hedge funds. Reporting of OTC amounts are difficult because trades can occur in private, without activity being visible on any exchange. According to the Bank for International Settlements, the total outstanding notional amount is $684 trillion (as of June 2008).^[6] Of this total notional amount, 67% are interest rate contracts, 8% are credit default swaps (CDS), 9% are foreign exchange contracts, 2% are commodity contracts, 1% are equity contracts, and 12% are other. Because OTC derivatives are not traded on an exchange, there is no central counter-party. Therefore, they are subject to counter-party risk, like an ordinary contract, since each counter-party relies on the other to perform.

• Exchange-traded derivative contracts (ETD) are those derivatives instruments that are traded via specialized derivatives exchanges or other exchanges. A derivatives exchange is a market where individuals trade standardized contracts that have been defined by the exchange.^[7] A derivatives exchange acts as an intermediary to all related transactions, and takes Initial margin from both sides of the trade to act as a guarantee. The world's largest^[8] derivatives exchanges (by number of transactions) are the Korea Exchange (which lists KOSPI Index Futures & Options), Eurex (which lists a wide range of European products such as interest rate & index products), and CME Group (made up of the 2007 merger of the Chicago Mercantile Exchange and the Chicago Board of Trade and the 2008 acquisition of the New York Mercantile Exchange). According to BIS, the combined turnover in the world's derivatives exchanges totaled USD 344 trillion during Q4 2005. Some types of derivative instruments also may trade on traditional exchanges. For instance, hybrid instruments such as convertible bonds and/or convertible preferred may be listed on stock or bond exchanges. Also, warrants (or "rights") may be listed on equity exchanges. Performance Rights, Cash xPRTs and various other instruments that essentially consist of a complex set of options bundled into a simple package are routinely listed on equity exchanges. Like other derivatives, these publicly traded derivatives provide investors access to risk/reward and volatility characteristics that, while related to an underlying commodity, nonetheless are distinctive.

Common derivative contract types

There are three major classes of derivatives:

1. Futures/Forwards are contracts to buy or sell an asset on or before a future date at a price specified today. A futures contract differs from a forward contract in that the futures contract is a standardized contract written by a clearing house that operates an exchange where the contract can be bought and sold, whereas a forward contract is a non-standardized contract written by the parties themselves.
2. Options are contracts that give the owner the right, but not the obligation, to buy (in the case of a call option) or sell (in the case of a put option) an asset. The price at which the sale takes place is known as the strike price, and is specified at the time the parties enter into the option. The option contract also specifies a maturity date. In the case of a European option, the owner has the right to require the sale to take place on (but not before) the maturity date; in the case of an American option, the owner can require the sale to take place at any time up to the maturity date. If the owner of the contract exercises this right, the counter-party has the obligation to carry out the transaction.
3. Swaps are contracts to exchange cash (flows) on or before a specified future date based on the underlying value of currencies/exchange rates, bonds/interest rates, commodities, stocks or other assets.

More complex derivatives can be created by combining the elements of these basic types. For example, the holder of a swaption has the right, but not the obligation, to enter into a swap on or before a specified future date.

Examples

The overall derivatives market has five major classes of underlying asset:

• interest rate derivatives (the largest)
• foreign exchange derivatives
• credit derivatives
• equity derivatives
• commodity derivatives

Some common examples of these derivatives are:

UNDERLYING	CONTRACT TYPES
	Exchange-traded futures	Exchange-traded options	OTC swap	OTC forward	OTC option
Equity	DJIA Index future Single-stock future	Option on DJIA Index future Single-share option	Equity swap	Back-to-back Repurchase agreement	Stock option Warrant Turbo warrant
Interest rate	Eurodollar future Euribor future	Option on Eurodollar future Option on Euribor future	Interest rate swap	Forward rate agreement	Interest rate cap and floor Swaption Basis swap Bond option
Credit	Bond future	Option on Bond future	Credit default swap Total return swap	Repurchase agreement	Credit default option
Foreign exchange	Currency future	Option on currency future	Currency swap	Currency forward	Currency option
Commodity	WTI crude oil futures	Weather derivatives	Commodity swap	Iron ore forward contract	Gold option

Other examples of underlying exchangeables are:

• Property (mortgage) derivatives
• Economic derivatives that pay off according to economic reports^[9] as measured and reported by national statistical agencies
• Freight derivatives
• Inflation derivatives
• Weather derivatives
• Insurance derivatives
• Emissions derivatives^[10]

Valuation

Market and arbitrage-free prices

Two common measures of value are:

• Market price, i.e. the price at which traders are willing to buy or sell the contract
• Arbitrage-free price, meaning that no risk-free profits can be made by trading in these contracts; see rational pricing

Determining the market price

For exchange-traded derivatives, market price is usually transparent (often published in real time by the exchange, based on all the current bids and offers placed on that particular contract at any one time). Complications can arise with OTC or floor-traded contracts though, as trading is handled manually, making it difficult to automatically broadcast prices. In particular with OTC contracts, there is no central exchange to collate and disseminate prices.

Determining the arbitrage-free price

The arbitrage-free price for a derivatives contract is complex, and there are many different variables to consider. Arbitrage-free pricing is a central topic of financial mathematics. The stochastic process of the price of the underlying asset is often crucial. A key equation for the theoretical valuation of options is the Black–Scholes formula, which is based on the assumption that the cash flows from a European stock option can be replicated by a continuous buying and selling strategy using only the stock. A simplified version of this valuation technique is the binomial options model.

Criticism

Derivatives are often subject to the following criticisms:

Possible large losses

The use of derivatives can result in large losses because of the use of leverage, or borrowing. Derivatives allow investors to earn large returns from small movements in the underlying asset's price. However, investors could lose large amounts if the price of the underlying moves against them significantly. There have been several instances of massive losses in derivative markets, such as:

• The need to recapitalize insurer American International Group (AIG) with $85 billion of debt provided by the US federal government.^[13] An AIG subsidiary had lost more than $18 billion over the preceding three quarters on Credit Default Swaps (CDS) it had written.^[14] It was reported that the recapitalization was necessary because further losses were foreseeable over the next few quarters.
• The loss of $7.2 Billion by Société Générale in January 2008 through mis-use of futures contracts.
• The loss of US$6.4 billion in the failed fund Amaranth Advisors, which was long natural gas in September 2006 when the price plummeted.
• The loss of US$4.6 billion in the failed fund Long-Term Capital Management in 1998.
• The loss of US$1.3 billion equivalent in oil derivatives in 1993 and 1994 by Metallgesellschaft AG.^[15]
• The loss of US$1.2 billion equivalent in equity derivatives in 1995 by Barings Bank.^[16]

Members of President Clinton's Working Group on Financial Markets: Larry Summers, Alan Greenspan, Arthur Levitt, and Robert Rubin, have been criticized for torpedoing an effort to regulate the derivatives' markets, and thereby helping to bring down the financial markets in Fall 2008. President George W. Bush has also been criticized because he was President for 8 years preceding the 2008 meltdown and did nothing to regulate derivative trading. Bush has stated that deregulation was one of the core tenets of his political philosophy.

Counter-party risk

Some derivatives (especially swaps) expose investors to counter-party risk.

For example, suppose a person wanting a fixed interest rate loan for his business, but finding that banks only offer variable rates, swaps payments with another business who wants a variable rate, synthetically creating a fixed rate for the person. However if the second business goes bankrupt, it can't pay its variable rate and so the first business will lose its fixed rate and will be paying a variable rate again. If interest rates have increased, it is possible that the first business may be adversely affected, because it may not be prepared to pay the higher variable rate.

Different types of derivatives have different levels of counter-party risk. For example, standardized stock options by law require the party at risk to have a certain amount deposited with the exchange, showing that they can pay for any losses; banks that help businesses swap variable for fixed rates on loans may do credit checks on both parties. However, in private agreements between two companies, for example, there may not be benchmarks for performing due diligence and risk analysis.

Large notional value

Derivatives typically have a large notional value. As such, there is the danger that their use could result in losses that the investor would be unable to compensate for. The possibility that this could lead to a chain reaction ensuing in an economic crisis, has been pointed out by famed investor Warren Buffett in Berkshire Hathaway's 2002 annual report. Buffett called them 'financial weapons of mass destruction.' The problem with derivatives is that they control an increasingly larger notional amount of assets and this may lead to distortions in the real capital and equities markets. Investors begin to look at the derivatives markets to make a decision to buy or sell securities and so what was originally meant to be a market to transfer risk now becomes a leading indicator. (See Berkshire Hathaway Annual Report for 2002)

Leverage of an economy's debt

Derivatives massively leverage the debt in an economy, making it ever more difficult for the underlying real economy to service its debt obligations, thereby curtailing real economic activity, which can cause a recession or even depression. In the view of Marriner S. Eccles, U.S. Federal Reserve Chairman from November, 1934 to February, 1948, too high a level of debt was one of the primary causes of the 1920s-30s Great Depression. (See Berkshire Hathaway Annual Report for 2002)

Benefits

The use of derivatives also has its benefits:

• Derivatives facilitate the buying and selling of risk, and many people consider this to have a positive impact on the economic system. Although someone loses money while someone else gains money with a derivative, under normal circumstances, trading in derivatives should not adversely affect the economic system because it is not zero sum in utility.
• Former Federal Reserve Board chairman Alan Greenspan commented in 2003 that he believed that the use of derivatives has softened the impact of the economic downturn at the beginning of the 21st century.

Definitions

• Bilateral netting: A legally enforceable arrangement between a bank and a counter-party that creates a single legal obligation covering all included individual contracts. This means that a bank’s obligation, in the event of the default or insolvency of one of the parties, would be the net sum of all positive and negative fair values of contracts included in the bilateral netting arrangement.
• Credit derivative: A contract that transfers credit risk from a protection buyer to a credit protection seller. Credit derivative products can take many forms, such as credit default swaps, credit linked notes and total return swaps.
• Derivative: A financial contract whose value is derived from the performance of assets, interest rates, currency exchange rates, or indexes. Derivative transactions include a wide assortment of financial contracts including structured debt obligations and deposits, swaps, futures, options, caps, floors, collars, forwards and various combinations thereof.
• Exchange-traded derivative contracts: Standardized derivative contracts (e.g. futures contracts and options) that are transacted on an organized futures exchange.
• Gross negative fair value: The sum of the fair values of contracts where the bank owes money to its counter-parties, without taking into account netting. This represents the maximum losses the bank’s counter-parties would incur if the bank defaults and there is no netting of contracts, and no bank collateral was held by the counter-parties.
• Gross positive fair value: The sum total of the fair values of contracts where the bank is owed money by its counter-parties, without taking into account netting. This represents the maximum losses a bank could incur if all its counter-parties default and there is no netting of contracts, and the bank holds no counter-party collateral.
• High-risk mortgage securities: Securities where the price or expected average life is highly sensitive to interest rate changes, as determined by the FFIEC policy statement on high-risk mortgage securities.
• Notional amount: The nominal or face amount that is used to calculate payments made on swaps and other risk management products. This amount generally does not change hands and is thus referred to as notional.
• Over-the-counter (OTC) derivative contracts: Privately negotiated derivative contracts that are transacted off organized futures exchanges.
• Structured notes: Non-mortgage-backed debt securities, whose cash flow characteristics depend on one or more indices and / or have embedded forwards or options.
• Total risk-based capital: The sum of tier 1 plus tier 2 capital. Tier 1 capital consists of common shareholders equity, perpetual preferred shareholders equity with non-cumulative dividends, retained earnings, and minority interests in the equity accounts of consolidated subsidiaries. Tier 2 capital consists of subordinated debt, intermediate-term preferred stock, cumulative and long-term preferred stock, and a portion of a bank’s allowance for loan and lease losses.

See also

• Credit risk
• Dual currency deposit
• FX Option
• Interest rate derivative
• Forward contract
• Futures contract
• Option (finance)

References

Derivatives market Derivative (finance) Options Terms Credit spread · Debit spread · Exercise · Expiration · Moneyness · Open interest · Pin risk · Risk-free rate · Strike price · The Greeks · Volatility Vanilla options Bond option · Call · Employee stock option · Fixed income · FX · Option styles · Put · Warrants Exotic options Asian · Barrier · Binary · Cliquet · Compound option · Forward start option · Interest rate option · Lookback · Mountain range · Rainbow option · Swaption Combinations Collar · Fence · Iron butterfly · Iron condor · Straddle · Strangle · Covered call · Protective put · Risk reversal Options spreads Backspread · Bear spread · Bull spread · Butterfly spread · Calendar spread · Diagonal spread · Ratio spread · Vertical spread · Intermarket Spread Valuation of options Binomial · Black · Black–Scholes · Finite difference · Garman-Kohlhagen · Put–call parity · Simulation · Trinomial Swaps Basis swap · Constant maturity swap · Credit default swap · Currency swap · Equity swap · Forex swap · Inflation swap · Interest rate swap · Total return swap · Variance swap · Volatility swap · Correlation swap · Conditional variance swap Forwards and Futures Backwardation · Commodity futures · Contango · Currency future · Financial future · Forward market · Forward price · Forward rate · Interest rate future · Margin · Pricing of Forwards · Pricing of Futures · Single-stock futures · Slippage Other derivatives Credit default option · CLN · Contract for difference · CPPI · Credit derivative · ELN · Equity derivative · Foreign exchange derivative · Fund derivative · Inflation derivatives · Interest rate derivative · PRDC · Real estate derivatives · Real options Market issues Tax policy · Consumer debt · Corporate debt · Government debt · Late 2000s recession