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Options (finance)

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Parent: Black–Scholes model Hop 5
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Options (finance)
NameOptions
TypeDerivative
UnderlyingEquity, Commodity, Currency, Interest rate
Originated17th century
MarketExchange-traded, Over-the-counter

Options (finance) Options are contractual derivatives that confer the right, but not the obligation, to buy or sell an underlying asset at a specified strike price before or at a specified expiration date. Options trade across New York Stock Exchange, Chicago Board Options Exchange, London Stock Exchange, and Tokyo Stock Exchange among other venues, and are referenced in landmark texts such as Black–Scholes model and institutions like Chicago Mercantile Exchange. Market participants include entities such as Goldman Sachs, JPMorgan Chase, BlackRock, and Vanguard Group.

Overview

Options derive economic value from an underlying instrument such as an equity, bond, commodity futures, or currency and are standardized by exchanges like Chicago Board Options Exchange or customized in over-the-counter contracts arranged by Deutsche Bank or Morgan Stanley. The two primary rights are embodied in the call and put contract forms widely used in S&P 500 indexing, Dow Jones Industrial Average hedging, and in strategies deployed by investors including Warren Buffett-linked firms. Historical milestones include organized trading advances at Amsterdam Stock Exchange and analytical breakthroughs linked to Fischer Black, Myron Scholes, and Robert Merton.

Types of Options

Options fall into standardized exchange-traded forms on venues such as CBOE and bespoke over-the-counter instruments arranged by Bank of America or Societe Generale. Key categorizations include American-style options exercisable any time before expiration, European-style options exercisable only at expiration as in Eurozone sovereign bond options, and exotic options like barrier options, Asian options, and lookback options used by institutions such as Citigroup and HSBC. Underlyings can be stocks, index fund components like NASDAQ-100, interest rate instruments including LIBOR-linked swaps, and commodity references such as West Texas Intermediate and Brent crude oil.

Valuation and Pricing Models

Valuation employs models developed in academic and industry settings including the Black–Scholes model, the Binomial options pricing model introduced by John C. Cox and colleagues, and stochastic approaches used in models by Robert Merton, Emanuel Derman, and Paul Wilmott. Inputs include spot price observations from exchanges like NYSE Arca, implied volatility surfaces derived from CBOE Volatility Index data, risk-free rates proxied by U.S. Treasury yields, and dividend forecasts referencing firms such as Apple Inc. and Microsoft. Calibration techniques rely on numerical methods implemented in software from firms like Bloomberg L.P., Thomson Reuters, and academic packages used at Massachusetts Institute of Technology and Princeton University.

Trading Strategies and Uses

Options support strategies employed by asset managers including BlackRock and hedge funds like Bridgewater Associates ranging from covered calls and protective puts to spreads, straddles, and collars used in pension fund management for institutions including CalPERS and Norges Bank Investment Management. Corporations such as Tesla, Inc. and Amazon use options for employee compensation through incentive schemes linked to Securities and Exchange Commission disclosure rules, while market makers including Jane Street and Virtu Financial provide liquidity in listed options. Options are also used for volatility trading with instruments tied to CBOE Volatility Index futures and for arbitrage across venues like Euronext and Hong Kong Stock Exchange.

Risks and Regulation

Options entail risks monitored by regulators including Securities and Exchange Commission, Commodity Futures Trading Commission, and Financial Conduct Authority. Counterparty risk is prominent in over-the-counter markets overseen by entities such as The Depository Trust & Clearing Corporation and central clearinghouses like LCH. Market crises involving derivatives, as scrutinized after events tied to Long-Term Capital Management and the 2008 financial crisis, prompted enhanced capital and margin requirements under frameworks influenced by Dodd–Frank Act and Basel III. Clearing, margining, position limits, and reporting standards are enforced via exchanges such as ICE and surveillance authorities including FINRA.

Market Participants and Instruments

Participants range from retail investors accessing options through brokers like Robinhood Markets and Charles Schwab Corporation to institutional traders at Goldman Sachs and proprietary desks at Citadel LLC. Instruments include single-stock options, index options on benchmarks such as Russell 2000 and S&P 500, options on exchange-traded funds like SPDR S&P 500 ETF Trust, and structured products designed by banks such as Barclays and Credit Suisse. Ancillary markets feature warrants issued by companies like Nio Inc. and convertible bonds managed by asset managers such as PIMCO.

Category:Derivatives