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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 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 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 the option by buying and selling the underlying asset in a specific way to eliminate risk. This type of hedging is called "continuously revised delta hedging" and is the basis of more complicated ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Model
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used 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). 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, and to make predictions about behavior. Elements of a mathematical model Mathematical models can take many forms, including dynamical systems, statisti ... [...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. 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 corresponding to an expectation of the payoff with a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Money Market
The money market is a component of the economy that provides short-term funds. The money market deals in short-term loans, generally for a period of a year or less. As short-term securities became a commodity, the money market became a component of the financial market for assets involved in short-term borrowing, lending, buying and selling with original maturities of one year or less. Trading in money markets is done over the counter and is wholesale. There are several money market instruments in most Western countries, including treasury bills, commercial paper, banker's acceptances, deposits, certificates of deposit, bills of exchange, repurchase agreements, federal funds, and short-lived mortgage- and asset-backed securities. The instruments bear differing maturities, currencies, credit risks, and structures. A market can be described as a money market if it is composed of highly liquid, short-term assets. Money market funds typically invest in government securities, ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swedish Academy Of Science
The Royal Swedish Academy of Sciences ( sv, Kungliga Vetenskapsakademien) is one of the royal academies of Sweden. Founded on 2 June 1739, it is an independent, non-governmental scientific organization that takes special responsibility for promoting natural sciences and mathematics and strengthening their influence in society, whilst endeavouring to promote the exchange of ideas between various disciplines. The goals of the academy are: * to be a forum where researchers meet across subject boundaries, * to offer a unique environment for research, * to provide support to younger researchers, * to reward outstanding research efforts, * to communicate internationally among scientists, * to advance the case for science within society and to influence research policy priorities * to stimulate interest in mathematics and science in school, and * to disseminate and popularize scientific information in various forms. Every year, the academy awards the Nobel Prizes in physics and chemis ... [...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 ( sv, Sveriges riksbanks pris i ekonomisk vetenskap till Alfred Nobels minne), is an economics award administered by the Nobel Foundation. Although not one of the five Nobel Prizes which were established by Alfred Nobel's will in 1895, it is commonly referred to as the Nobel Prize in Economics. The winners of the Nobel Memorial Prize in Economic Sciences are chosen in a similar way, are announced along with the Nobel Prize recipients, and the prize is presented at the Nobel Prize Award Ceremony. The award was established in 1968 by an endowment "in perpetuity" from Sweden's central bank, Sveriges Riksbank, to commemorate the bank's 300th anniversary. It is administered and referred to along with the Nobel Prizes by the Nobel Foundation. Laureates in the Memorial Prize in Economics are selected by the Royal Swedish Academy of Sciences. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chicago Board Options Exchange
The Chicago Board Options Exchange (CBOE), located at 433 West Van Buren Street in Chicago, is the largest U.S. options exchange with an annual trading volume of around 1.27 billion at the end of 2014. CBOE offers options on over 2,200 companies, 22 stock indices, and 140 exchange-traded funds (ETFs). The Chicago Board of Trade established the Chicago Board Options Exchange in 1973. The first exchange to list standardized, exchange-traded stock options began its first day of trading on April 26, 1973, in celebration of the 125th birthday of the Chicago Board of Trade. The CBOE is regulated by the Securities and Exchange Commission and owned by Cboe Global Markets. Contracts offered Cboe (and other national options exchanges) offers options on the following, and others: Cboe calculates and disseminates the CBOE Volatility Index (VIX), the CBOE S&P 500 BuyWrite Index (BXM), and other indices.Warner, A., ''Options Volatility Trading: Strategies for Profiting from Market Swings'' ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Options Pricing
In finance, a price (premium) is paid or received for purchasing or selling options. This article discusses the calculation of this premium in general. For further detail, see: for discussion of the mathematics; Financial engineering for the implementation; as well as generally. Premium components This price can be split into two components: intrinsic value, and time 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 (bul ... [...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 Magne Mogstad (University of Chicago). It is considered one of the top five journals in economics. Abstracting and indexing The journal is abstracted and indexed in EBSCO, ProQuest, EconLit , Research Papers in Economics, Current Contents/Social & Behavioral Sciences, and the Social Sciences Citation Index. According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 9.103, ranking it 4/376 journals in the category "Economics". The journal is department-owned University of Chicago journal. Notable papers Among the most influential papers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edward O
Edward is an English given name A given name (also known as a forename or first name) is the part of a personal name quoted in that identifies a person, potentially with a middle name as well, and differentiates that person from the other members of a group (typically a fa .... It is derived from the Anglo-Saxon name ''Ēadweard'', composed of the elements '' ēad'' "wealth, fortune; prosperous" and ''wikt:weard#Old English, weard'' "guardian, protector”. History The name Edward was very popular in Anglo-Saxon England, but the rule of the House of Normandy, Norman and House of Plantagenet, Plantagenet dynasties had effectively ended its use amongst the upper classes. The popularity of the name was revived when Henry III of England, Henry III named his firstborn son, the future Edward I of England, 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 P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sheen Kassouf
Sheen T. Kassouf (11 August 1928 – 10 August 2005) was an 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. Together with Edward O. Thorp Edward Oakley Thorp (born August 14, 1932) is an American mathematics professor, author, hedge fund manager, and blackjack researcher. He pioneered the modern applications of probability theory, including the harnessing of very small correlatio ... 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 Financial economists Columbi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Louis Bachelier
Louis Jean-Baptiste Alphonse Bachelier (; 11 March 1870 – 28 April 1946) was a French mathematician at the turn of the 20th century. He is credited with being the first person to model the stochastic process now called Brownian motion, as part of his doctoral thesis ''The Theory of Speculation'' (''Théorie de la spéculation'', defended in 1900). Bachelier's doctoral thesis, which introduced the first mathematical model of Brownian motion and its use for valuing stock options, was the first paper to use advanced mathematics in the study of finance. His Bachelier model has been influential in the development of other widely used models, including the Black-Scholes model. Thus, Bachelier is considered as the forefather of mathematical finance and a pioneer in the study of stochastic processes. Early years Bachelier was born in Le Havre. His father was a wine merchant and amateur scientist, and the vice-consul of Venezuela at Le Havre. His mother was the daughter of an impor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
