Problem 12-05 (Algorithnic) The price of a share of a particular stock listed on
ID: 2782392 • Letter: P
Question
Problem 12-05 (Algorithnic) The price of a share of a particular stock listed on the New York Stock Exchange is currently $41. The following probability distribution shows how the price per share is expected to change over a three-month period Stock Price Change ($ Probability 0.05 0.15 0.20 0.10 0.15 0.15 0.20 a. Set up intervals ot random numbers that can be used to generate the change in stock price over a three-month period. If required, round your answers to two decimal places. Stock Price Change Probability Interval 0.05 0.15 0.20 0.10 but less than but less than but less than but less than but less than but less than but less than 0.15 0.15 0.20 b. With the current price of $41 per share and the random numbers 0.5265, 0.9705, 0.0669 and 0.2821, simulate the price per share for the next four 3-month periods. Random Number Price Change Ending Price Per Share 0.5265 0.9705 0.0669 0.2821 What is the ending simulated price per share?Explanation / Answer
a. Current price of the share on New York stock exchange = $41
-2
b.
Ending simulated price per share = $41
Stock price change ($) Probability Interval-2
0.05 0.00 to 0.00+0.05 = 0.00 to 0.05 -1 0.15 0.05 to 0.05+0.15 = 0.05 to 0.20 0 0.20 0.20 to 0.20+0.20 = 0.20 to 0.40 1 0.1 0.40 to 0.40+0.1 = 0.40 to 0.50 2 0.15 0.50 to 0.50+0.15 = 0.50 to 0.65 3 0.15 0.65 to 0.65+0.15 = 0.65 to 0.80 4 0.20 0.80 to 0.80+0.20 = 0.80 to 1.00