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An Asian option (or average value option) is a special type of option contract. For Asian options, the payoff is determined by the average underlying price over some pre-set period of time. This is different from the case of the usual European option and American option, where the payoff of the option contract depends on the price of the underlying instrument at exercise; Asian options a

The term asset swap has a number of different meanings:

The Bachelier model is a model of an asset price under Brownian motion presented by Louis Bachelier in his PhD thesis The Theory of Speculation (French: Théorie de la spéculation), published 1900. It is also called the normal model equivalently (as opposed to log-normal model or Black–Scholes model). One early criticism of the Bachelier model is that the probability distribution which h

In options trading, the backspread is the converse strategy to the ratio spread and is also known as the reverse ratio spread. Using calls, a bullish strategy known as the call backspread can be constructed and with puts, a strategy known as the put backspread can be constructed.

Backwardation is a market condition where the price of a commodity's forward or futures contract price is trading below the spot price.

A barrier option is an option whose payoff is conditional upon the underlying asset's price breaching a barrier level during the option's lifetime.

A basket option is a financial derivative, more specifically an exotic option, whose underlying is a weighted sum or average of different assets that have been grouped together in a basket. A basket option is similar to an index option, where a number of stocks have been grouped together in an index and the option is based on the price of the index, but differs in that the members and we

In options trading, a bear spread is a bearish, vertical spread options strategy that can be used when the options trader is moderately bearish on the underlying security.

A binary option is a financial exotic option in which the payoff is either some fixed monetary amount or nothing at all. The two main types of binary options are the cash-or-nothing binary option and the asset-or-nothing binary option. The former pays some fixed amount of cash if the option expires in-the-money while the latter pays the value of the underlying security. They are also cal

In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses a "discrete-time" (lattice based) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting, which in general does not exist for the BOPM.

The Black model (also known as the Black-76 model) is a variant of the Black–Scholes option pricing model. Its primary applications are for pricing options on future contracts, bond options, interest rate cap and floors, and swaptions. It was first presented in a paper written by Fischer Black in 1976.

In finance, a bond option is an option to buy or sell a bond at a certain price on or before the option expiry date. These instruments are typically traded OTC.

In options trading, a box spread is a combination of positions that has a certain (i.e., riskless) payoff, considered to be simply "delta neutral interest rate position". For example, a bull spread constructed from calls (e.g., long a 50 call, short a 60 call) combined with a bear spread constructed from puts (e.g., long a 60 put, short a 50 put) has a constant payoff of the difference

In options trading, a bull spread is a vertical spread options strategy that is designed to profit from a moderate rise in the price of the underlying security.

In finance, a butterfly (or simply fly) is a limited risk, non-directional options strategy that is designed to have a high probability of earning a limited profit when the future volatility of the underlying asset is expected to be lower (when long the butterfly) or higher (when short the butterfly) than that asset's current implied volatility.

In finance, a calendar spread (also called a time spread or horizontal spread) is a spread trade involving the simultaneous purchase of futures or options expiring on a particular date and the sale of the same instrument expiring on another date. These individual purchases, known as the legs of the spread, vary only in expiration date; they are based on the same underlying market and str

In finance, a call option (often simply a "call") is an option contract that gives its buyer the right, but not the obligation, to buy an agreed quantity of a particular commodity, security, or other financial instrument from the seller at a specified price. The asset or instrument to which the option relates is known as the underlying, and the specified purchase price is known as the st

A callable bull/bear contract, or CBBC in short form, is a derivative financial instrument that provides investors with a leveraged investment in underlying assets, which can be a single stock, or an index. CBBC is usually issued by third parties, mostly investment banks, but neither by stock exchanges nor by asset owners. It was first introduced in Europe and Australia in 2001, and it i

In finance, a chooser option is a special type of option contract. It gives the purchaser a fixed period to decide whether the derivative will be a European call or put option.

In finance, a collar is an option strategy that limits the range of possible positive or negative returns on an underlying to a specific range. A collar strategy is used as one of the ways to hedge against possible losses and it represents long put options financed with short call options. The collar combines the strategies of the protective put and the covered call.

A collateralized debt obligation (CDO) is a type of structured asset-backed security (ABS). Originally developed as instruments for the corporate debt markets, after 2002 CDOs became vehicles for refinancing mortgage-backed securities (MBS). Like other private label securities backed by assets, a CDO can be thought of as a promise to pay investors in a prescribed sequence, based on the c

A compound option or split-fee option is an option on an option. The exercise payoff of a compound option involves the value of another option. A compound option then has two expiration dates and two strike prices. Usually, compounded options are used for currency or fixed income markets where insecurity exists regarding the option's risk protection. Another common business application t

A conditional variance swap is a type of variance swap or swap derivative product that allows investors to take exposure to volatility in the price of an underlying security but only while the underlying security is within a pre-specified price range. This instrument can be useful for hedging complex volatility exposures, making a bet on the volatility levels contained in the skew of th

A condor is a limited-risk, non-directional options trading strategy consisting of four options at four different strike prices. The buyer of a condor earns a profit if the underlying is between or near the inner two strikes at expiry, but has a limited loss if the underlying is near or outside the outer two strikes at expiry. Therefore, long condors are used by traders who expect the un

In mathematical finance, the constant elasticity of variance model (CEV) is a stochastic volatility model, although technically it would be classed more precisely as a local volatility model, that attempts to capture stochastic volatility and the leverage effect. The model is widely used by practitioners in the financial industry, especially for modelling equities and commodities. It was

A constant maturity swap (CMS) is a swap that allows the purchaser to fix the duration of received flows on a swap.

Constant proportion portfolio investment (CPPI) is a trading strategy that allows an investor to maintain an exposure to the upside potential of a risky asset while

Contango is a situation in which the futures price (or forward price) of a commodity is higher than the spot price. In a contango situation, arbitrageurs or speculators are "willing to pay more for a commodity [to be received] at some point in the future than to purchase the commodity immediately. This may be due to people's desire to pay a premium to have the commodity in the future rat

In finance, a contract for difference (CFD) is a financial agreement between two parties, commonly referred to as the "buyer" and the "seller." The contract stipulates that the buyer will pay the seller the difference between the value of an asset at the time the contract was initiated and the current value of the asset. If the asset's price increases from the opening to the closing of t

In finance, a convertible bond, convertible note, or convertible (or a convertible debenture if it has a maturity of greater than 10 years) is a type of bond that the holder can convert into a specified number of shares of common stock in the issuing company or cash of equal value. It is a hybrid security with debt- and equity-like features. It originated in the mid-19th century, and w

A correlation swap is an over-the-counter financial derivative that allows one to speculate on or hedge risks associated with the observed average correlation, of a collection of underlying products, where each product has periodically observable prices, as with a commodity, exchange rate, interest rate, or stock index.

A covered option is a financial transaction in which the holder of securities sells (or "writes") an options contract, either a "call option" or a "put option", against stock that they own or are short, respectively.

In finance, a covered warrant (sometimes called naked warrant) is a type of warrant that has been issued without an accompanying bond or equity. Like a normal warrant, it allows the holder to buy or sell a specific amount of equities, currency, or other financial instruments from the issuer at a specified price at a predetermined date.

In finance, a default option, credit default swaption or credit default option is an option to buy protection (payer option) or sell protection (receiver option) as a credit default swap on a specific reference credit with a specific maturity. The option is usually European, exercisable only at one date in the future at a specific strike price defined as a coupon on the credit default s

In finance, a credit derivative refers to any one of "various instruments and techniques designed to separate and then transfer the credit risk" or the risk of an event of default of a corporate or sovereign borrower, transferring it to an entity other than the lender or debtholder.

In finance, a credit spread, or net credit spread is an options strategy that involves a purchase of one option and a sale of another option in the same class and expiration but different strike prices. It is designed to make a profit when the spreads between the two options narrows.

In finance, a currency swap (more typically termed a cross-currency swap, XCS) is an interest rate derivative (IRD). In particular it is a linear IRD, and one of the most liquid benchmark products spanning multiple currencies simultaneously. It has pricing associations with interest rate swaps (IRSs), foreign exchange (FX) rates, and FX swaps (FXSs).

A currency future, also known as an FX future or a foreign exchange future, is a futures contract to exchange one currency for another at a specified date in the future at a price (exchange rate) that is fixed on the purchase date; see Foreign exchange derivative.

In finance, delta neutral describes a portfolio of related financial securities, in which the portfolio value remains unchanged when small changes occur in the value of the underlying security (having zero delta). Such a portfolio typically contains options and their corresponding underlying securities such that positive and negative delta components offset, resulting in the portfolio's

In derivatives trading, the term diagonal spread is applied to an options spread position that shares features of both a calendar spread and a vertical spread. It is established by simultaneously buying and selling equal amount of option contracts of the same type (call options or put options) but with different strike prices and expiration dates.

In finance, a dividend future is an exchange-traded derivative contract that allows investors to take positions on future dividend payments. Dividend futures can be on a single company, a basket of companies, or on an Equity index. They settle on the amount of dividend paid by the company, the basket of companies, or the index during the period of the contract.

Employee stock options (ESO or ESOPs) is a label that refers to compensation contracts between an employer and an employee that carries some characteristics of financial options.

An energy derivative is a derivative contract based on (derived from) an underlying energy asset, such as natural gas, crude oil, or electricity. Energy derivatives are exotic derivatives and include exchange-traded contracts such as futures and options, and over-the-counter (i.e., privately negotiated) derivatives such as forwards, swaps and options. Major players in the energy derivati

In finance, an equity derivative is a class of derivatives whose value is at least partly derived from one or more underlying equity securities. Options and futures are by far the most common equity derivatives, however there are many other types of equity derivatives that are actively traded.

An equity swap is a financial derivative contract (a swap) where a set of future cash flows are agreed to be exchanged between two counterparties at set dates in the future. The two cash flows are usually referred to as "legs" of the swap; one of these "legs" is usually pegged to a floating rate such as LIBOR. This leg is also commonly referred to as the "floating leg". The other leg of

An equity-linked note (ELN) is a debt instrument, usually a bond issued by a financial institution such as an investment bank or a subsidiary of a commercial bank. ELNs are liabilities of the issuer, but the final payout to the investor is based on an unrelated company's stock price, a stock index or a group of stocks or stock indices. The underlying stocks typically have large market ca

The owner of an option contract has the right to exercise it, and thus require that the financial transaction specified by the contract is to be carried out immediately between the two parties, whereupon the option contract is terminated. When exercising a call option, the owner of the option purchases the underlying shares (or commodities, fixed interest securities, etc.) at the strike

In finance, an exotic option is an option which has features making it more complex than commonly traded vanilla options. Like the more general exotic derivatives they may have several triggers relating to determination of payoff. An exotic option may also include a non-standard underlying instrument, developed for a particular client or for a particular market. Exotic options are mor

In finance, the expiration date of an option contract (represented by Greek letter tau, τ) is the last date on which the holder of the option may exercise it according to its terms. In the case of options with "automatic exercise", the net value of the option is credited to the long and debited to the short position holders.

Finite difference methods for option pricing are numerical methods used in mathematical finance for the valuation of options. Finite difference methods were first applied to option pricing by Eduardo Schwartz in 1977.

A foreign exchange derivative is a financial contract whose value changes depending on currency exchange rates.

In finance, a foreign exchange option (commonly shortened to just FX option or currency option) is a derivative financial instrument that gives the right but not the obligation to exchange money denominated in one currency into another currency at a pre-agreed exchange rate on a specified date. See Foreign exchange derivative.

In finance, a foreign exchange swap, forex swap, or FX swap is a simultaneous purchase and sale of identical amounts of one currency for another with two different value dates (normally spot to forward) and may use foreign exchange derivatives. An FX swap allows sums of a certain currency to be used to fund charges designated in another currency without acquiring foreign exchange risk. I

In finance, a forward contract, or simply a forward, is a non-standardized contract between two parties to buy or sell an asset at a specified future time at a price agreed on in the contract, making it a type of derivative instrument. 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 sh

The forward price (or sometimes forward rate) is the agreed upon price of an asset in a forward contract. Using the rational pricing assumption, for a forward contract on an underlying asset that is tradeable, the forward price can be expressed in terms of the spot price and any dividends. For forwards on non-tradeables, pricing the forward may be a complex task.

In finance, a forward rate agreement (FRA) is an interest rate derivative (IRD). In particular, it is a linear IRD with strong associations with interest rate swaps (IRSs).

The FTSE MTIRS Indices are designed to accurately move in direct correlation to OTC Interest Rate Swaps market with a total of 45 indices covering the USD curve from 2 years to 30 years including spreads and butterflies. FTSE MTIRS Indices account for changes to both fixed and floating rates and are rebalanced daily.

A fund derivative (see also derivative) is a financial structured product related to a fund, normally using the underlying fund to determine the payoff. This may be a private equity fund, mutual fund or hedge fund. Purchasers obtain exposure to the underlying fund (or funds) whilst improving their risk profile over a direct investment.

In mathematical finance, the Greeks are the quantities (known in calculus as partial derivatives; first-order or higher) representing the sensitivity of the price of a derivative instrument, such as an option or future, to changes in one or more underlying parameters on which the value of an instrument or portfolio of financial instruments is dependent. The name is used because the most

In finance, inflation derivative (or inflation-indexed derivatives) refers to an over-the-counter and exchange-traded derivative that is used to transfer inflation risk from one counterparty to another. See Exotic derivative.

An inflation swap is an over-the-counter derivative in which one party pays a fixed inflation rate and the other pays the realised change in a price index such as CPI, RPI or HICP. Markets trade two main structures: the zero-coupon inflation swap, which settles once at maturity, and the year-on-year inflation swap, which pays periodic coupons. Users include pension funds, insurers and ot

In finance, an interest rate derivative (IRD) is a derivative whose payments are determined through calculation techniques where the underlying benchmark product is an interest rate, or set of different interest rates. There are a multitude of different interest rate indices that can be used in this definition.

An interest rate future is a futures contract (a financial derivative) with an interest-bearing instrument as the underlying asset. It is a particular type of interest rate derivative. Examples include Treasury-bill futures, Treasury-bond futures and Eurodollar futures.

In finance, an interest rate swap (IRS) is an interest rate derivative (IRD). It involves exchange of interest rates between two parties. In particular it is a "linear" IRD and one of the most liquid, benchmark products. It has associations with forward rate agreements (FRAs), and with zero coupon swaps (ZCSs).

In finance, the intrinsic value of an asset or security is its value as calculated with regard to an inherent, objective measure. As a distinction, the asset's price is determined relative to other similar assets.

In finance an iron butterfly, also known as the ironfly, is the name of an advanced, neutral-outlook, options trading strategy that involves buying and holding four different options at three different strike prices. It is a limited-risk, limited-profit trading strategy that is structured for a larger probability of earning smaller limited profit when the underlying stock is perceived to

The iron condor is an options trading strategy utilizing two vertical spreads – a put spread and a call spread with the same expiration and four different strikes. A long iron condor is essentially selling both sides of the underlying instrument by simultaneously shorting the same number of calls and puts, then covering each position with the purchase of further out of the money call(s)

A jelly roll, or simply a roll, is an options trading strategy that captures the cost of carry of the underlying asset while remaining otherwise neutral. It is often used to take a position on dividends or interest rates, or to profit from mispriced calendar spreads.

In finance, a ladder, also known as a Christmas tree, is a combination of three options of the same type (all calls or all puts) at three different strike prices. A long ladder is used by traders who expect low volatility, while a short ladder is used by traders who expect high volatility. Ladders are in some ways similar to strangles, vertical spreads, condors, or ratio spreads.

In quantitative finance, a lattice model is a numerical approach to the valuation of derivatives in situations requiring a discrete time model. For dividend paying equity options, a typical application would correspond to the pricing of an American-style option, where a decision to exercise is allowed at the closing of any calendar day up to the maturity. A continuous model, on the othe

A local volatility model, in mathematical finance and financial engineering, is an option pricing model that treats volatility as a function of both the current asset level

Lookback options, in the terminology of finance, are a type of exotic option with path dependency, among many other kind of options. The payoff depends on the optimal (maximum or minimum) underlying asset's price occurring over the life of the option. The option allows the holder to "look back" over time to determine the payoff. There exist two kinds of lookback options: with floating st

In finance, margin is the collateral that a holder of a financial instrument has to deposit with a counterparty (most often a broker or an exchange) to cover some or all of the credit risk the holder poses for the counterparty. This risk can arise if the holder has done any of the following:

In mathematical finance, Margrabe's formula is an option pricing formula applicable to an option to exchange one risky asset for another risky asset at maturity. It was derived by William Margrabe in 1978. Margrabe's paper has been cited by over 2000 subsequent articles.

In finance, moneyness is the relative position of the current price (or future price) of an underlying asset (e.g., a stock) with respect to the strike price of a derivative, most commonly a call option or a put option. Moneyness is firstly a three-fold classification:

In mathematical finance, a Monte Carlo option model uses Monte Carlo methods to calculate the value of an option with multiple sources of uncertainty or with complicated features. The first application to option pricing was by Phelim Boyle in 1977 (for European options). In 1996, M. Broadie and P. Glasserman showed how to price Asian options by Monte Carlo. An important development was

A naked option or uncovered option is an options strategy where the options contract writer (i.e., the seller) does not hold the underlying asset to cover the contract in case of assignment (like in a covered option). Nor does the seller hold any option of the same class on the same underlying asset that could protect against potential losses (like in an options spread). A naked option i

Net volatility refers to the volatility implied by the price of an option spread trade involving two or more options. Essentially, it is the volatility at which the theoretical value of the spread trade matches the price quoted in the market, or, in other words, the implied volatility of the spread.

In finance, an option is a contract which conveys to its owner, the holder, the right, but not the obligation, to buy or sell a specific quantity of an underlying asset or instrument at a specified strike price on or before a specified date, depending on the style of the option.

In financial markets, an option naming convention is a method of identifying which of many possible options is being quoted or traded.

In finance, the style or family of an option is the class into which the option falls, usually defined by the dates on which the option may be exercised. The vast majority of options are either European or American (style) options. These options—as well as others where the payoff is calculated similarly—are referred to as "vanilla options". Options where the payoff is calculated differe

In finance, the time value (TV) (extrinsic or instrumental value) of an option is the premium a rational investor would pay over its current exercise value (intrinsic value), based on the probability it will increase in value before expiry. For an American option this value is always greater than zero in a fair market, thus an option is always worth more than its current exercise value.

Option strategies are the simultaneous, and often mixed, buying or selling of one or more options that differ in one or more of the options' variables. Call options, simply known as Calls, give the buyer a right to buy a particular stock at that option's strike price. Opposite to that are Put options, simply known as Puts, which give the buyer the right to sell a particular stock at the

An overnight indexed swap (OIS) is an interest rate swap (IRS) over some given term, e.g. 10Y, where the periodic fixed payments are tied to a given fixed rate while the periodic floating payments are tied to a floating rate calculated from a daily compounded overnight rate over the floating coupon period. The OIS term is not overnight; it is the underlying reference rate that is an over

In finance, perpetual futures, also known as perpetual swaps or colloquially as perps, are contract agreements to non-optionally buy or sell an asset at an unspecified point in the future. Perpetual futures are cash-settled, and they differ from regular futures in that they lack a pre-specified delivery date and can thus be held indefinitely without the need to roll over contracts as the

Pin risk occurs when the market price of the underlier of an option contract at the time of the contract's expiration is close to the option's strike price. In this situation, the underlier is said to have pinned. The risk to the writer (seller) of the option is that they cannot predict with certainty whether the option will be exercised or not. So the writer cannot hedge their position

A dual-currency note (DC) pays coupons in the investor's domestic currency with the notional in the issuer's domestic currency. A reverse dual-currency note (RDC) is a note which pays a foreign interest rate in the investor's domestic currency. A power reverse dual-currency note (PRDC) is a structured product where an investor is seeking a better return and a borrower a lower rate by tak

A property derivative is a financial derivative whose value is derived from the value of an underlying real estate asset. In practice, because individual real estate assets fall victim to market inefficiencies and are hard to accurately price, property derivative contracts are typically written based on a real estate property index. In turn, the real estate property index attempts to a

In finance, a put or put option is a derivative instrument in financial markets that gives the holder (i.e. the purchaser of the put option) the right to sell an asset (the underlying), at a specified price (the strike), by (or on) a specified date (the expiry or maturity) to the writer (i.e. seller) of the put. The purchase of a put option is interpreted as a negative sentiment about th

In financial mathematics, the put–call parity defines a relationship between the price of a European call option and European put option, both with the identical strike price and expiry, namely that a portfolio of a long call option and a short put option is equivalent to (and hence has the same value as) a single forward contract at this strike price and expiry. This is because if the p

In finance, a Rainbow option is a derivative whose payoff depends on multiple underlying risky assets. Each underlying asset is referred to as a color of the rainbow. It contrasts with a simple option that is exposed to one source of uncertainty, such as the price of underlying asset.

A ratio spread or frontspread is a multi-leg options position. Like a vertical, the ratio spread involves buying and selling options on the same underlying security with different strike prices and the same expiration date. In this spread, the number of option contracts sold is not equal to a number of contracts bought. An unequal number of options contracts gives this spread certain u

A real estate derivative is a financial instrument whose value is based on the price of real estate. The core uses for real estate derivatives are: hedging positions, pre-investing assets and re-allocating a portfolio. The major products within real estate derivatives are: swaps, futures contracts, options (calls and puts) and structured products. Each of these products can use a differ

Real options valuation, also often termed real options analysis, (ROV or ROA) applies option valuation techniques to capital budgeting decisions. A real option itself, is the right—but not the obligation—to undertake certain business initiatives, such as deferring, abandoning, expanding, staging, or contracting a capital investment project. For example, real options valuation could exami

In finance, recovery swaps, recovery locks, or recovery default swaps (RDS) are derivative contracts related to credit default swaps, and reference a bond issuance as its underlying. They are designed to provide a hedge against the uncertainty of recovery in default.

In finance, risk reversal (also known as a conversion when an investment strategy) can refer to a measure of the volatility skew or to a trading strategy.

The risk-free rate of return, usually shortened to the risk-free rate, is the rate of return of a hypothetical investment with scheduled payments over a fixed period of time that is assumed to meet all payment obligations.

Securities market participants in the United States include corporations and governments issuing securities, persons and corporations buying and selling a security, the broker-dealers and exchanges which facilitate such trading, banks which safe keep assets, and regulators who monitor the markets' activities. Investors buy and sell through broker-dealers and have their assets retained b

In finance, a single-stock future (SSF) is a type of futures contract between two parties to exchange a specified number of stocks in a company 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 can be later traded on a futures exchange.

In finance and the stock market, slippage is the difference between the execution price expected by the trader (usually the one indicated by the trading software) and the one at which the transaction actually happens. Market impact, liquidity, and frictional costs may contribute to slippage.