The code in the presentation prices a call option using simulation. Create a Python program that prices a put option using an initial stock price of $50. The program should also calculate your breakeven stock price if you buy this put. Answer the following questions in words:

1.) If you move the initial price of the stock up $1, what happens to the price of the put option?

2.) If you move the initial price of the stock down $1, what happens to the price of the put option?

3.) What is the average of these two changes in the price of the put option