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Финансовая экономика - это область теоретико-прикладных знаний о законах функционирования финансовых потоков и отношений между всеми субъектами экономической системы... (подробнее...)

Journal of Finance

Выпуск N5 за 1984 год

Опубликовано на портале: 06-10-2004
Robert Geske, Herbert E. Johnson Journal of Finance. 1984.  Vol. 39. No. 5. P. 1511-1524. 
An analytic solution to the American put problem is derived herein. The hedge ratio and other derivatives of the solution are presented. The formula derived implies an exact duplicating portfolio for the American put consisting of discount bonds and stock sold short. The formula is extended to consider put options on stocks paying cash dividends. A polynomial expression is developed for evaluating these formulae. Values and hedge ratios for puts on both dividend and nondividend paying stocks are calculated, tabulated, and compared with values derived by numerical integration and binomial approximation. As with European options, evaluating an analytic formula is more efficient than approximating the stock price process or the partial differential equation by binomial or finite difference methods. Finally, applications of this American put solution are discussed.
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