You own a put option on Ford stock with a strike price of $$$$15.$ When you bought the$$ put, its cost to you was $$$$4.$ The option will expire in exactly six$$ months' time.

a$.$ If the stock is trading at $$$$8$ in six$$ months, what will be the payoff of the$$ put? What will be the profit of the$$ put?

b$.$ If the stock is trading at $$$$26$ in six$$ months, what will be the payoff of the$$ put? What will be the profit of the$$ put?

c$.$ Draw a payoff diagram showing the value of the put at expiration as a function of the stock price at expiration.

d$.$ Redo$$ c$,$ but instead of showing$$ payoffs, show profits.