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Black–Scholes Model
The Black–Scholes or Black–Scholes–Merton model is a mathematical model for the dynamics of a financial market containing Derivative (finance), 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 option style, European-style option (finance), options and shows that the option has a ''unique'' price given the risk of the security and its expected return (instead replacing the security's expected return with the risk-neutral rate). The equation and model are named after economists Fischer Black and Myron Scholes. Robert C. Merton, who first wrote an academic paper on the subject, is sometimes also credited. The main principle behind the model is to hedge (finance), hedge the option by buying and selling the underlying asset in a specific way to eliminate risk. This type of hedging is called "continuou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Model
A mathematical model is an abstract and concrete, abstract description of a concrete system using mathematics, mathematical concepts and language of mathematics, language. The process of developing a mathematical model is termed ''mathematical modeling''. Mathematical models are used in applied mathematics and in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). It can also be taught as a subject in its own right. The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, linguistics, and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different components, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Risk-neutral Measure
In mathematical finance, a risk-neutral measure (also called an equilibrium measure, or '' equivalent martingale measure'') is a probability measure such that each share price is exactly equal to the discounted expectation of the share price under this measure. This is heavily used in the pricing of financial derivatives due to the fundamental theorem of asset pricing, which implies that in a complete market, a derivative's price is the discounted expected value of the future payoff under the unique risk-neutral measure. Such a measure exists if and only if the market is arbitrage-free. A risk-neutral measure is a probability measure The easiest way to remember what the risk-neutral measure is, or to explain it to a probability generalist who might not know much about finance, is to realize that it is: # The probability measure of a transformed random variable. Typically this transformation is the utility function of the payoff. The risk-neutral measure would be the measure co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nobel Memorial Prize In Economic Sciences
The Nobel Memorial Prize in Economic Sciences, officially the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel (), commonly referred to as the Nobel Prize in Economics(), is an award in the field of economic sciences administered by the Nobel Foundation, established in 1968 by Sveriges Riksbank (Sweden's central bank) to celebrate its 300th anniversary and in memory of Alfred Nobel. Although the Prize in Economic Sciences was not one of the original five Nobel Prizes established by Alfred Nobel's will, it is considered a member of the Nobel Prize system, and is administered and referred to along with the Nobel Prizes by the Nobel Foundation. Winners of the Prize in Economic Sciences are chosen in a similar manner to and announced alongside the Nobel Prize recipients, and receive the Prize in Economic Sciences at the Nobel Prize Award Ceremony. The laureates of the Prize in Economic Sciences are selected by the Royal Swedish Academy of Sciences, which ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chicago Board Options Exchange
Cboe Global Markets, Inc. is an American company that owns the Chicago Board Options Exchange and the stock exchange operator BATS Global Markets. History Founded by the Chicago Board of Trade in 1973 and member-owned for several decades, the Chicago Board Options Exchange was the first exchange to list standardized, exchange-traded stock options, and began its first day of trading on April 26, 1973, in celebration of the 125th birthday of the Chicago Board of Trade. In 1969, the vice chairman of the Chicago Board of Trade, Edmund “Eddie” O’Connor, developed the idea for an options exchange. At that time, options on stocks were traded in a New York-based, over-the-counter market which required a direct link between the buyer and seller and complex terms of sale. The options exchange that O'Connor imagined would use a central clearinghouse to facilitate trades and stand behind contracts. The Chicago Board of Trade established a committee to evaluate the concept. The optio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Options Pricing
In finance, a price (premium) is paid or received for purchasing or selling options. The calculation of this premium will require sophisticated mathematics. Premium components This price can be split into two components: intrinsic value, and time value (also called "extrinsic value"). Intrinsic value The ''intrinsic value'' is the difference between the underlying spot price and the strike price, to the extent that this is in favor of the option holder. For a call option, the option is in-the-money if the underlying spot price is higher than the strike price; then the intrinsic value is the underlying price minus the strike price. For a put option, the option is in-the-money if the ''strike'' price is higher than the underlying spot price; then the intrinsic value is the strike price minus the underlying spot price. Otherwise the intrinsic value is zero. For example, when a DJI call (bullish/long) option is 18,000 and the underlying DJI Index is priced at $18,050 then there ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Of Political Economy
The ''Journal of Political Economy'' is a monthly peer-reviewed academic journal published by the University of Chicago Press. Established by James Laurence Laughlin in 1892, it covers both theoretical and empirical economics. In the past, the journal published quarterly from its introduction through 1905, ten issues per volume from 1906 through 1921, and bimonthly from 1922 through 2019. The editor-in-chief is Esteban Rossi-Hansberg (University of Chicago). It is considered one of the top five journals in economics. JPE Micro and JPE Macro In 2023, University of Chicago Press announced the establishment of Journal of Political Economy Microeconomics (JPE Micro) and Journal of Political Economy Macroeconomics (JPE Macro), two new journals that are vertically integrated with the Journal of Political Economy. Abstracting and indexing The journal is abstracted and indexed in EBSCO, ProQuest, EconLit, Research Papers in Economics, Current Contents/Social & Behavioral Scien ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Risk Management
Risk management is the identification, evaluation, and prioritization of risks, followed by the minimization, monitoring, and control of the impact or probability of those risks occurring. Risks can come from various sources (i.e, Threat (security), threats) including uncertainty in Market environment, international markets, political instability, dangers of project failures (at any phase in design, development, production, or sustaining of life-cycles), legal liabilities, credit risk, accidents, Natural disaster, natural causes and disasters, deliberate attack from an adversary, or events of uncertain or unpredictable root cause analysis, root-cause. Retail traders also apply risk management by using fixed percentage position sizing and risk-to-reward frameworks to avoid large drawdowns and support consistent decision-making under pressure. There are two types of events viz. Risks and Opportunities. Negative events can be classified as risks while positive events are classifi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edward O
Edward is an English male name. It is derived from the Anglo-Saxon name ''Ēadweard'', composed of the elements '' ēad'' "wealth, fortunate; prosperous" and '' weard'' "guardian, protector”. History The name Edward was very popular in Anglo-Saxon England, but the rule of the Norman and Plantagenet dynasties had effectively ended its use amongst the upper classes. The popularity of the name was revived when Henry III named his firstborn son, the future Edward I, as part of his efforts to promote a cult around Edward the Confessor, for whom Henry had a deep admiration. Variant forms The name has been adopted in the Iberian peninsula since the 15th century, due to Edward, King of Portugal, whose mother was English. The Spanish/Portuguese forms of the name are Eduardo and Duarte. Other variant forms include French Édouard, Italian Edoardo and Odoardo, German, Dutch, Czech and Romanian Eduard and Scandinavian Edvard. Short forms include Ed, Eddy, Eddie, Ted, Teddy an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sheen Kassouf
Sheen T. Kassouf (11 August 1928 – 10 August 2005) was an American economist from New York known for research in financial mathematics. In 1957 he married Gloria Daher in Brooklyn, New York. Kassouf received a PhD in economics from Columbia University (1965) and was later professor of economics at University of California Irvine The University of California, Irvine (UCI or UC Irvine) is a Public university, public Land-grant university, land-grant research university in Irvine, California, United States. One of the ten campuses of the University of California system, U .... Together with Edward O. Thorp he co-authored the book ''Beat the Market'' in 1967. Publications * Kassouf, S. T. ; Thorp, E. O., ''Beat the Market: A Scientific Stock Market System'', Access to all published works - UCI Department of Economics References External links Sheen Kassouf Page - UCI Department of Economics 1928 births 2005 deaths Economists from California American financia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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: :E \sum_^R_P_ where :: R_ is the return in scenario i; ::P_ is the probability for the return R_ in scenario i; and ::n is the number of scenarios. The expected rate of return is the expected return per currency unit (e.g., dollar) invested. It is computed as the expected return divided by the amount invested. The required rate of return is what an investor would require to be compensated for the risk borne by holding the asset; "expected return" is often used in this sense, as opposed to the more formal, mathematical, sense above. Application Although the above represents what one expects the return to be, it only refers to the long-term average. In the short term, any of the various scenarios could occu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Samuelson
Paul Anthony Samuelson (May 15, 1915 – December 13, 2009) was an American economist who was the first American to win the Nobel Memorial Prize in Economic Sciences. When awarding the prize in 1970, the Swedish Royal Academies stated that he "has done more than any other contemporary economist to raise the level of scientific analysis in economic theory". "In a career that spanned seven decades, he transformed his field, influenced millions of students and turned MIT into an economics powerhouse" Samuelson was one of the most influential economists of the latter half of the 20th century."Paul Samuelson: The last of the great general economists died on December 13th, aged 94" ''The Economist'', December 17, 2009 In 1996, he was awarded the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Case Sprenkle
Case M. Sprenkle Profile economics.illinois.edu was a monetary economist, serving as Professor at the until 2016. He is known for his early contributions to theory. A revision of his doctoral thesis, since widely cited, was published in 1961: Here, Sprenkle "developed the first modern model of option pricing and was used as the foundation of the [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
