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(All answers were generated using 1,000 trials and native Excel functionality.) Suppose that the price of a share of a particular stock listed on the
(All answers were generated using 1,000 trials and native Excel functionality.)
Suppose that the price of a share of a particular stock listed on the New York Stock Exchange is currently $39. The following probability distribution shows how the price per share is expected to change over a three-month period:
Stock Price Change ($) | Probability |
2 | 0.05 |
1 | 0.10 |
0 | 0.25 |
+1 | 0.20 |
+2 | 0.20 |
+3 | 0.10 |
+4 | 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? | ||||
Round your answers to two decimal places. | |||||
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(b) | Based on the model assumptions, what are the lowest and highest possible prices for this stock in 12 months? | ||||
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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. |
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