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Trading basics

Algorithmic trading

Algorithmic trading is a method of executing orders using automated pre-programmed trading instructions accounting for variables such as time, price, and volume. This type of trading attempts to leverage the speed and computational resources of computers relative to human traders. In the twenty-first century, algorithmic trading has been gaining traction with both retail and institutiona

Finance

Alpha (finance)

Alpha is a measure of the active return on an investment, the performance of that investment compared with a suitable market index. An alpha of 1% means the investment's return on investment over a selected period of time was 1% better than the market during that same period; a negative alpha means the investment underperformed the market.

Trading basics

Arbitrage pricing theory

In finance, arbitrage pricing theory (APT) is a multi-factor model for asset pricing which relates various macro-economic (systematic) risk variables to the pricing of financial assets. Proposed by economist Stephen Ross in 1976, it is widely believed to be an improved alternative to its predecessor, the capital asset pricing model (CAPM). APT is founded upon the law of one price, which

Securities & exchanges

Asian option

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

Securities & exchanges

Asset swap

The term asset swap has a number of different meanings:

Finance

Bachelier model

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

Securities & exchanges

Backspread

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.

Securities & exchanges

Backwardation

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

Finance

Barrier option

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.

Trading basics

Basis risk

Basis risk in finance is the risk associated with imperfect hedging due to the variables or characteristics that affect the difference between the futures contract and the underlying "cash" position. It arises because of the difference between the price of the asset to be hedged and the price of the asset serving as the hedge before expiration, namely b = S - F. Barring idiosyncratic inf

Securities & exchanges

Basket option

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

Securities & exchanges

Bear spread

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.

Finance

Beta (finance)

In finance, the beta (β or market beta or beta coefficient) is a statistic that measures the expected increase or decrease of an individual stock price in proportion to movements of the stock market as a whole. Beta can be used to indicate the contribution of an individual asset to the market risk of a portfolio when it is added in small quantity. It refers to an asset's non-diversifiabl

Securities & exchanges

Binary option

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

Finance

Binomial options pricing model

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.

Finance

Black model

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.

Finance

Black–Derman–Toy model

In mathematical finance, the Black–Derman–Toy model (BDT) is a popular short-rate model used in the pricing of bond options, swaptions and other interest rate derivatives; see Lattice model (finance) § Interest rate derivatives. It is a one-factor model; that is, a single stochastic factor—the short rate—determines the future evolution of all interest rates. It was the first model to com

Securities & exchanges

Black–Scholes model

The Black–Scholes or Black–Scholes–Merton model is a mathematical model for the dynamics of a financial market containing derivative investment instruments. From the parabolic partial differential equation in the model, known as the Black–Scholes equation, one can deduce the Black–Scholes formula, which gives a theoretical estimate of the price of European-style options and shows that t

Finance

Bond option

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.

Securities & exchanges

Box spread

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

Securities & exchanges

Bull spread

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.

Finance

Butterfly (options)

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.

Securities & exchanges

Calendar spread

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

Finance

Call option

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

Securities & exchanges

Callable bull/bear contract

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

Trading basics

Capital asset pricing model

In finance, the capital asset pricing model (CAPM) is a model used to determine a theoretically appropriate required rate of return of an asset, to make decisions about adding assets to a well-diversified portfolio. The model takes into account the asset's sensitivity to non-diversifiable risk (also known as systematic risk or market risk), often represented by the quantity beta (β) in t

Securities & exchanges

Cashflow matching

Cash flow matching is a process of hedging in which a company or other entity matches its cash outflows (i.e., financial obligations) with its cash inflows over a given time horizon. It is a subset of immunization strategies in finance. Cash flow matching is of particular importance to defined benefit pension plans.

Securities & exchanges

Chan–Karolyi–Longstaff–Sanders process

In mathematics, the Chan–Karolyi–Longstaff–Sanders process (abbreviated as CKLS process) is a stochastic process with applications to finance. In particular it has been used to model the term structure of interest rates. The CKLS process can also be viewed as a generalization of the Ornstein–Uhlenbeck process. It is named after K. C. Chan, G. Andrew Karolyi, Francis A. Longstaff, and Ant

Finance

Chooser option

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.

Finance

Collar (finance)

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.

Securities & exchanges

Collateralized debt obligation

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

Trading basics

Commodity pool operator

A Commodity pool operator (CPO) is an individual or organization that solicits or receives funds to use in the operation of a commodity pool, syndicate, collective investment vehicle, investment trust, or similar structure, specifically for trading (buying and selling) of and in commodity interests. Such commodity interests include commodity futures, swaps, options and/or leverage transa

Trading basics

Commodity trading advisor

A commodity trading advisor (CTA) is US financial regulatory term for an individual or organization who is retained by a fund or individual client to provide advice and services related to trading in futures contracts, commodity options and/or swaps. They are responsible for the trading within managed futures accounts. The definition of CTA may also apply to investment advisors for hedge

Finance

Compound option

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

Finance

Concentration risk

Concentration risk is a banking term describing the level of risk in a bank's portfolio arising from concentration to a single counterparty, sector or country.

Securities & exchanges

Conditional variance swap

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

Finance

Condor (options)

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

Securities & exchanges

Constant elasticity of variance model

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

Finance

Constant maturity swap

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

Securities & exchanges

Constant proportion portfolio insurance

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

Securities & exchanges

Contango

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

Finance

Contract for difference

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

Finance

Convergence trade

Convergence trade is a trading strategy consisting of two positions: buying one asset forward—i.e., for delivery in future (going long the asset)—and selling a similar asset forward (going short the asset) for a higher price, in the expectation that by the time the assets must be delivered, the prices will have become closer to equal (will have converged), and thus one profits by the amo

Finance

Convertible arbitrage

Convertible arbitrage is a market-neutral investment strategy often employed by hedge funds. It involves the simultaneous purchase of convertible securities and the short sale of the same issuer's common stock.

Finance

Corporate finance

Corporate finance is an area of finance that deals with the sources of funding, and the capital structure of businesses, the actions that managers take to increase the value of the firm to the shareholders, and the tools and analysis used to allocate financial resources. The primary goal of corporate finance is to maximize or increase shareholder value.

Banking

Correlation swap

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.

Finance

Covered option

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.

Securities & exchanges

Covered warrant

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.

Finance

Credit default option

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

Trading basics

Credit default swap

A credit default swap (CDS) is a financial swap agreement that the seller of the CDS will compensate the buyer in the event of a debt default (by the debtor) or other credit event. That is, the seller of the CDS insures the buyer against some reference asset defaulting. The buyer of the CDS makes a series of payments (the CDS "fee" or "spread") to the seller and, in exchange, may expect

Securities & exchanges

Credit derivative

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.

Finance

Credit risk

Credit risk is the chance that a borrower does not repay a loan or fulfill a loan obligation. For lenders the risk includes late or lost interest and principal payment, leading to disrupted cash flows and increased collection costs. The loss may be complete or partial. In an efficient market, higher levels of credit risk will be associated with higher borrowing costs. Because of this, me

Finance

Credit spread (options)

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.

Fiat currencies

Cross-currency swap

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).

Fiat currencies

Currency future

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.

Finance

Delta neutral

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

Securities & exchanges

Derivative (finance)

In finance, a derivative is a contract between a buyer and a seller. The derivative can take various forms, depending on the transaction, but every derivative has the following four elements:

Finance

Derivatives market

The derivatives market is the financial market for derivatives – financial instruments like futures contracts or options – which are derived from other forms of assets.

Finance

Diagonal spread

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.

Securities & exchanges

Distressed securities

In corporate finance, distressed securities are securities over companies or government entities that are experiencing financial or operational distress, default, or are under bankruptcy. As far as debt securities, this is called distressed debt. Purchasing or holding such distressed-debt creates significant risk due to the possibility that bankruptcy may render such securities worthless

Securities & exchanges

Dividend future

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.

Finance

Drawdown (economics)

The drawdown is the measure of the decline from a historical peak in some variable (typically the cumulative profit or total open equity of a financial trading strategy).

Finance

Employee stock option

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.

Securities & exchanges

Energy derivative

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

Securities & exchanges

Equity derivative

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.

Trading basics

Equity risk

Equity risk is "the financial risk involved in holding equity in a particular investment." Equity risk is a type of market risk that applies to investing in shares. The market price of stocks fluctuates all the time, depending on supply and demand. The risk of losing money due to a reduction in the market price of shares is known as equity risk.

Securities & exchanges

Equity swap

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

Finance

Equity-linked note

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

Securities & exchanges

Event-driven investing

Event-driven investing or Event-driven trading is a broad term encompassing hedge fund investment strategies that seeks to exploit pricing inefficiencies that may occur before or after an event. Examples of such events could be an earnings call, bankruptcy, merger, acquisition, or spinoff. In more recent times market practitioners have expanded this definition to include additional event

Finance

Exercise (options)

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

Finance

Exotic option

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

Finance

Expected return

The expected return (or expected gain) on a financial investment is the expected value of its return (of the profit on the investment). It is a measure of the center of the distribution of the random variable that is the return. It is calculated by using the following formula:

Finance

Expiration (options)

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.

Trading basics

Finance

Finance refers to the management, movement, investment, and raising of money.

Securities & exchanges

Financial innovation

Financial innovation is the act of creating new financial instruments as well as new financial technologies, institutions, and markets. Recent financial innovations include hedge funds, private equity, weather derivatives, retail-structured products, exchange-traded funds, multi-family offices, and Islamic bonds (Sukuk). The shadow banking system has spawned an array of financial innovat

Finance

Financial law

Financial law is the law and regulation of the commercial banking, capital markets, insurance, derivatives and investment management sectors. Understanding financial law is crucial to appreciating the creation and formation of banking and financial regulation, as well as the legal framework for finance generally.

Finance

Financial risk

Financial risk is any of various types of risk associated with financing, including financial transactions that include company loans in risk of default. Often it is understood to include only downside risk, meaning the potential for financial loss and uncertainty about its extent.

Finance

Finite difference methods for option pricing

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.

Finance

Fixed income arbitrage

Fixed-income arbitrage is a group of market-neutral-investment strategies that are designed to take advantage of differences in interest rates between varying fixed-income securities or contracts (Jefferson, 2007). Arbitrage in terms of investment strategy, involves buying securities on one market for immediate resale on another market in order to profit from a price discrepancy.

Trading basics

Fixed-income relative-value investing

Fixed-Income Relative-Value Investing (FI-RV) is a hedge fund investment strategy made popular by the failed hedge fund Long-Term Capital Management.

Fiat currencies

Foreign exchange derivative

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

Fiat currencies

Foreign exchange option

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.

Fiat currencies

Foreign exchange risk

Foreign exchange risk (also known as FX risk, exchange rate risk or currency risk) is a financial risk that exists when a financial transaction is denominated in a currency other than the domestic currency of the company. The exchange risk arises when there is a risk of an unfavourable change in exchange rate between the domestic currency and the denominated currency before the date when

Fiat currencies

Foreign exchange swap

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

Securities & exchanges

Forward contract

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

Securities & exchanges

Forward price

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.

Securities & exchanges

Forward rate agreement

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).

Securities & exchanges

Front running

Front running, also known as tailgating, is the practice of entering into an equity (stock) trade, option, futures contract, derivative, or security-based swap to capitalize on advance, nonpublic knowledge of a large ("block") pending transaction that will influence the price of the underlying security. In essence, it means the use of knowledge of an impending trade to engage in a person

Securities & exchanges

FTSE MTIRS Index

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.

Securities & exchanges

Fund derivative

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.

Finance

Fund governance

Fund governance refers to a system of checks and balances and work performed by the governing body (board) of an investment fund to ensure that the fund is operated not only in accordance with law, but also in the best interests of the fund and its investors. The objective of fund governance is to uphold the regulatory principles commonly known as the four pillars of investor protection

Securities & exchanges

Futures contract

In finance, a futures contract (often just called a future) is a standardized legal contract to buy or sell something at a predetermined price for delivery at a specified time in the future, between parties not yet known to each other. The item transacted is usually a commodity or financial instrument. The predetermined price of the contract is known as the forward price or delivery pric

Finance

Greeks (finance)

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

Securities & exchanges

Hedge (finance)

A hedge is an investment position intended to offset potential losses or gains that may be incurred by a companion investment. A hedge can be constructed from many types of financial instruments, including stocks, exchange-traded funds, insurance, forward contracts, swaps, options, gambles, many types of over-the-counter and derivative products, and futures contracts.

Securities & exchanges

Heston model

In finance, the Heston model, named after Steven L. Heston, is a mathematical model that describes the evolution of the volatility of an underlying asset. It is a stochastic volatility model: such a model assumes that the volatility of the asset is not constant, nor even deterministic, but follows a random process.

Finance

High-frequency trading

High-frequency trading (HFT) is a type of algorithmic automated trading system in finance characterized by high speeds, high turnover rates, and high order-to-trade ratios that leverages high-frequency financial data and electronic trading tools. While there is no single definition of HFT, among its key attributes are highly sophisticated algorithms, co-location, and very short-term inve

Securities & exchanges

Implied volatility

In financial mathematics, the implied volatility (IV) of an option contract is that value of the volatility of the underlying instrument which, when input in an option pricing model (usually Black–Scholes), will return a theoretical value equal to the price of the option. A non-option financial instrument that has embedded optionality, such as an interest rate cap, can also have an impl

Securities & exchanges

Inflation derivative

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.

Securities & exchanges

Inflation swap

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

Securities & exchanges

Interest rate derivative

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.