12. Suppose that the price of a share of a particular stock listed on the New York Stock Exchange is currently $39. The following probability distribution shows how the price per share is expected to change over a three-month period: Stock Price Change ($) tit ton Probability 0.05 0.10 0.25 0.20 0.20 0.10 0.10 a. Construct a spreadsheet simulation model that computes the value of the stock price in 3 months, 6 months, 9 months, and 12 months under the assumption that the change in stock price over any three-month period is independent of the change in stock price over any other three-month period. For a current price of $39 per share, what is the average stock price per share 12 months from now? What is the standard deviation of the stock price 12 months from now? b. Based on the model assumptions, what are the lowest and highest possible prices for this stock in 12 months? Based on your knowledge of the stock market, how valid do you think this is? Propose an alternative to modeling how stock prices evolve over three-month periods. 12. Suppose that the price of a share of a particular stock listed on the New York Stock Exchange is currently $39. The following probability distribution shows how the price per share is expected to change over a three-month period: Stock Price Change ($) tit ton Probability 0.05 0.10 0.25 0.20 0.20 0.10 0.10 a. Construct a spreadsheet simulation model that computes the value of the stock price in 3 months, 6 months, 9 months, and 12 months under the assumption that the change in stock price over any three-month period is independent of the change in stock price over any other three-month period. For a current price of $39 per share, what is the average stock price per share 12 months from now? What is the standard deviation of the stock price 12 months from now? b. Based on the model assumptions, what are the lowest and highest possible prices for this stock in 12 months? Based on your knowledge of the stock market, how valid do you think this is? Propose an alternative to modeling how stock prices evolve over three-month periods