Using Calculus to Make Money on the Stock Market Problem - Calculus - User Submitted Quesiton

Опубликовано: 25 Май 2010
на канале: FreeAcademy
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Free Calculus lecture presented by http://www.free-academy.com. This lecture answers the following question submitted to our website.


(A brand new stock is called an initial public offering or IPO. Remember that in this model the period immediately after the stock is issued offers excess returns on the stock(ie it is selling for more than its actually worth). One such model for a class of internet IPOs predicts the percentage overvaluation of a stock as a function of time, as R(t)=250t^2/e^3t where R(t) is the overvaluation in percent and t is the time in months after issue. Use the information provided by the first derivative and second derivate, and asymptotes to prepare advice for clients as to when they should expect a signal to buy or sell(Inflection point), the exact time when they should buy or sell(max/min) and any false signals prior to an asymptote. Explain your reasoning. Make a rough sketch of the function.


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