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Rainbow Option
Rainbow option is a derivative exposed to two or more sources of uncertainty, as opposed to a simple option that is exposed to one source of uncertainty, such as the price of underlying asset. The name of ''rainbow'' comes from Rubinstein (1991), who emphasises that this option was based on a combination of various assets like a rainbow is a combination of various colors. More generally, rainbow options are multiasset options, also referred to as correlation options, or basket options. Rainbow can take various other forms but the combining idea is to have a payoff that is depending on the assets sorted by their performance at maturity. When the rainbow only pays the best (or worst) performing asset of the basket, it is also called ''best-of'' (or ''worst-of''). Other popular options that can be reformulated as a rainbow option are spread and exchange options. Overview Rainbow options are usually calls or puts on the best or worst of ''n'' underlying assets. Like the basket option, ...
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Derivative (finance)
In finance, a derivative is a contract that ''derives'' its value from the performance of an underlying entity. This underlying entity can be an asset, index, or interest rate, and is often simply called the "underlying". Derivatives can be used for a number of purposes, including insuring against price movements ( hedging), increasing exposure to price movements for speculation, or getting access to otherwise hard-to-trade assets or markets. Some of the more common derivatives include forwards, futures, options, swaps, and variations of these such as synthetic collateralized debt obligations and credit default swaps. Most derivatives are traded over-the-counter (off-exchange) or on an exchange such as the Chicago Mercantile Exchange, while most insurance contracts have developed into a separate industry. In the United States, after the financial crisis of 2007–2009, there has been increased pressure to move derivatives to trade on exchanges. Derivatives are one of the ...
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Natural Resources
Natural resources are resources that are drawn from nature and used with few modifications. This includes the sources of valued characteristics such as commercial and industrial use, aesthetic value, scientific interest and cultural value. On Earth, it includes sunlight, atmosphere, water, land, all minerals along with all vegetation, and wildlife. Natural resources is a part of humanity's natural heritage or protected in nature reserves. Particular areas (such as the rainforest in Fatu-Hiva) often feature biodiversity and geodiversity in their ecosystems. Natural resources may be classified in different ways. Natural resources are materials and components (something that can be used) that can be found within the environment. Every man-made product is composed of natural resources (at its fundamental level). A natural resource may exist as a separate entity such as fresh water, air, as well as any living organism such as a fish, or it may be transformed by extractivist in ...
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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. The binomial model was first proposed by William Sharpe in the 1978 edition of ''Investments'' (), and formalized by Cox, Ross and Rubinstein in 1979 and by Rendleman and Bartter in that same year. For binomial trees as applied to fixed income and interest rate derivatives see . Use of the model The Binomial options pricing model approach has been widely used since it is able to handle a variety of conditions for which other models cannot easily be applied. This is largely because the BOPM is based on the description of an underlying instrument over a period of time rather than a single point. As a consequence, it is used to value Am ...
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Monte Carlo Option Model
In mathematical finance, a Monte Carlo option model uses Monte Carlo methodsAlthough the term 'Monte Carlo method' was coined by Stanislaw Ulam in the 1940s, some trace such methods to the 18th century French naturalist Buffon, and a question he asked about the results of dropping a needle randomly on a striped floor or table. See Buffon's needle. 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 the introduction in 1996 by Carriere of Monte Carlo methods for options with early exercise features. Methodology In terms of theory, Monte Carlo valuation relies on risk neutral valuation.Marco DiasReal Options with Monte Carlo Simulation/ref> Here the price of the option is its discounted expected value; see risk neutrality an ...
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Stochastic
Stochastic (, ) refers to the property of being well described by a random probability distribution. Although stochasticity and randomness are distinct in that the former refers to a modeling approach and the latter refers to phenomena themselves, these two terms are often used synonymously. Furthermore, in probability theory, the formal concept of a ''stochastic process'' is also referred to as a ''random process''. Stochasticity is used in many different fields, including the natural sciences such as biology, chemistry, ecology, neuroscience, and physics, as well as technology and engineering fields such as image processing, signal processing, information theory, computer science, cryptography, and telecommunications. It is also used in finance, due to seemingly random changes in financial markets as well as in medicine, linguistics, music, media, colour theory, botany, manufacturing, and geomorphology. Etymology The word ''stochastic'' in English was originally used as a ...
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Liquidity Risk
Liquidity risk is a financial risk that for a certain period of time a given financial asset, security or commodity cannot be traded quickly enough in the market without impacting the market price. Types Market liquidity – An asset cannot be sold due to lack of liquidity in the market – essentially a sub-set of market risk. This can be accounted for by: * Widening bid–offer spread * Making explicit liquidity reserves * Lengthening holding period for value at risk (VaR) calculations Funding liquidity – Risk that liabilities: * Cannot be met when they fall due * Can only be met at an uneconomic price * Can be name-specific or systemic Causes Liquidity risk arises from situations in which a party interested in trading an asset cannot do it because nobody in the market wants to trade for that asset. Liquidity risk becomes particularly important to parties who are about to hold or currently hold an asset, since it affects their ability to trade. Manifestation of liquidity risk ...
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Quantity
Quantity or amount is a property that can exist as a Counting, multitude or Magnitude (mathematics), magnitude, which illustrate discontinuity (mathematics), discontinuity and continuum (theory), continuity. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value multiple of a unit of measurement. Mass, time, distance, heat, and angle are among the familiar examples of quantitative properties. Quantity is among the basic Class (philosophy), classes of things along with Quality (philosophy), quality, Substance theory, substance, change, and relation. Some quantities are such by their inner nature (as number), while others function as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. Under the name of multitude comes what is discontinuous and discrete and divisible ultimately into indivisibles, such as: ''army, fleet, flock, government, c ...
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Price
A price is the (usually not negative) quantity of payment or compensation given by one party to another in return for goods or services. In some situations, the price of production has a different name. If the product is a "good" in the commercial exchange, the payment for this product will likely be called its "price". However, if the product is "service", there will be other possible names for this product's name. For example, the graph on the bottom will show some situations A good's price is influenced by production costs, supply of the desired item, and demand for the product. A price may be determined by a monopolist or may be imposed on the firm by market conditions. Price can be quoted to currency, quantities of goods or vouchers. * In modern economies, prices are generally expressed in units of some form of currency. (More specifically, for raw materials they are expressed as currency per unit weight, e.g. euros per kilogram or Rands per KG.) * Although prices ...
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Correlation Trading
In finance, correlation trading is a strategy in which the investor gets exposure to the average correlation of an index. The key to correlation trading is being able to predict when future realized correlation amongst the stocks of a particular index will be greater or less than the "implied" correlation level derived from derivatives on the index and its single stocks. One observation related to correlation trading is the principle of diversification, which implies that the volatility of a portfolio of securities is less than (or equal to) the average volatility of all the securities in that portfolio (This has nothing to do with Modern Portfolio Theory and follows from Statistics 101, definition of portfolio variance). The lower the correlation amongst the individual securities, the lower the overall volatility of the entire portfolio. This is due to the way in which variances behave when summing correlated random variables. To sell correlation, investors can: * Sell a ca ...
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Investopedia
Investopedia is a financial media website headquartered in New York City. Founded in 1999, Investopedia provides investment dictionaries, advice, reviews, ratings, and comparisons of financial products such as securities accounts. Investopedia has more than 32,000 articles and reaches 20 million unique monthly viewers and posts paid advertisements as investing information. It is part of the Dotdash Meredith family of brands owned by IAC. Investopedia offers educational technology into day trading, asset management, foreign exchange markets, as well as financial educational courses. It also hosts a stock market simulator. Self-paced, online courses from expert instructors are available on Investopedia Academy. History Founding and early history Investopedia was founded in 1999 by Cory Wagner and Cory Janssen in Edmonton, Alberta. At the time, Janssen was a business student at the University of Alberta. Wagner focused on business development and research and development, w ...
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Moneyness
In finance Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of fina ..., moneyness is the relative position of the current price (or future price) of an underlying Financial asset, asset (e.g., a stock) with respect to the strike price of a derivative (finance), derivative, most commonly a call option or a put option. Moneyness is firstly a three-fold classification: * If the derivative would have positive intrinsic value (finance), intrinsic value if it were to Expiration (options), expire today, it is said to be in the money; * If the derivative would be worthless if expiring with the underlying at its current price, it is said to be out of the money; * And if the current underlying price and strike price are equal, the derivative is said to be at the money. There are two slightly differe ...
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