You obtain the following information concerning a stock and a put option

Price of the stock: $42

Strike price: $40

Price of the put: $3

Expiration date: three months

You want to purchase the stock but also want to use an option to reduce your risk of loss.

a) What is the cash inflow or outflow from your position when you purchase your put option?

b) What is the total profit or loss if the price of the stock stagnates and trades for $42 after three months?

c) What is the total profit or loss if the price of the stock trades for $50 after three months?

d) What is the total profit or loss if the price of the stock trades for $30 after three months?