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Black's Approximation
In finance, Black's approximation is an approximate method for computing the value of an American call option on a stock paying a single dividend. It was described by Fischer Black in 1975.F. Black: Fact and fantasy in the use of options, FAJ, July–August 1975, pp.36 The Black–Scholes formula (hereinafter, "BS Formula") provides an explicit equation for the value of a call option on a non-dividend paying stock. In case the stock pays one or more discrete dividend(s) no closed formula is known, but several approximations can be used, or else the Black–Scholes PDE will have to be solved numerically. One such approximation is described here. See also Black–Scholes model#American options. The method essentially entails using the BS formula to compute the value of two European call options: (1) A European call with the same maturity as the American call being valued, but with the stock price reduced by the present value of the dividend, and (2) A European call that expires o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 financial economics bridges the two). Finance activities take place in financial systems at various scopes, thus the field can be roughly divided into personal, corporate, and public finance. In a financial system, assets are bought, sold, or traded as financial instruments, such as currencies, loans, bonds, shares, stocks, options, futures, etc. Assets can also be banked, invested, and insured to maximize value and minimize loss. In practice, risks are always present in any financial action and entities. A broad range of subfields within finance exist due to its wide scope. Asset, money, risk and investment management aim to maximize value and minimize volatility. Financial analysis is viability, stability, and profitability asse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fischer Black
Fischer Sheffey Black (January 11, 1938 – August 30, 1995) was an American economist, best known as one of the authors of the Black–Scholes equation. Background Fischer Sheffey Black was born on January 11, 1938. He graduated from Harvard College in 1959 and received a PhD in applied mathematics from Harvard University in 1964. He was initially expelled from the PhD program due to his inability to settle on a thesis topic, having switched from physics to mathematics, then to computers and artificial intelligence. Black joined the consultancy Bolt, Beranek and Newman, working on a system for artificial intelligence. He spent a summer developing his ideas at the RAND corporation. He became a student of MIT professor Marvin Minsky,Perry Mehrling, "Fischer Black and the Revolutionary Idea of Finance", Wiley (2005), 400 pages, and was later able to submit his research for completion of the Harvard PhD. Black joined Arthur D. Little, where he was first exposed to economic and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
