Astock is trading at $50. you believe there is a 60% chance the price of the stock will increase by 10% over the next 3 months. you believe there is a 30% chance the stock will drop by 5%, and you think there is only a 10% chance of a major drop in price of 20%. at-the-money 3-month puts are available at a cost of $650 per contract. what is the expected dollar profit for a writer of a put at the end of 3 months? (hint: remember how we calculated the expected return (e(r)) for stocks? use the probabilities as the weights to calculate the weighted average profits in all scenarios.)