A stock is now selling at $300 per share. Over the next year the probability that

the stock price will increase on any one day is 40%. The probability that the stock

price will decrease on any one day is 60%. If the stock increases, the amount of

the increase will be exactly $2. If the stock decreases, the amount of the

decrease will be exactly $1. The price movements are independent from day to

day. The stock price movements are observed over the next 5 trading days.

What is the probability that the stock price will be above $300 at the end of this period of time?