مشخصات پژوهش

صفحه نخست /FROM ITO AND STRATONOVICH ...
عنوان
FROM ITO AND STRATONOVICH TO BLACK-SCHOLES
نوع پژوهش مقاله ارائه شده
کلیدواژه‌ها
Black-Scholes equation-Stratonovich
چکیده
Options are financial instruments designed to protect investors from the stock market randomness. In 1973 Black, Sc- holes and Merton proposed a very popular option pricing method using stochastic di erential equations within the Ito interpretation. Herein, We have reviewed Black-Scholes theory using Ito calculus, which is standard to mathematical nance. Moreover, the Black- Scholes equation obtained using Stratonovich calculus is the same as the one obtained by means of the Ito calculus. In fact, this is the result we expected in advance because Ito and Stratonovich conventions are just di erent rules of calculus. The option pric- ing method obtains the so-called Black-Scholes equation which is a partial di erential equation of the same kind as the di ffusion equa- tion. In fact, it was this similarity that led Black and Scholes to obtain their option price formula as the solution of the di ffusion equation with the initial and boundary conditions given by the option contract terms.
پژوهشگران سمیه پورقنبر (نفر اول)، مجتبی رنجبر (نفر دوم)