Consider the binomial approximation to a geometric Brownian motion process on a stock's return. The stock has an annualized expected rate of return of 12%, and an annualized volatility of 30%. Suppose our approximation assumes a period of t=0.04 year (=2 weeks); what is the distribution of prices in one period under the binomial model? After 2 periods; after 3 periods? The current price of the stock is $50.

Advertisers are usually very conscious of their audience. choose an issue of a popular magazine such as time, sports illustrated, vanity fair, rolling stone, or the like. from that issue select three advertisements to analyze. try to determine the audience being appealed to in each advertisement and analyze the appeals used to persuade buyers. how might the appeals differ is the ads were designed to persuade a different audience.