In the following problems, we assume for convenience that we consider call and put options for only one share of a stock. We consider only one stock, and all options are for this stock. We assume that the risk-free interest rate is zero We denote the expiration date of the options by T, and we assume that it is the same date for all options considered below. We denote prices as pure numbers, omitting any notation for a currency such as the dollar sign. We denote the price of the stock at expiration by Sr and consider Sr to be an unknown quantity. The only constraint on Sr is that ST20. 1. Suppose that we buy a call for the strike price of 45, paying the premium of 2.25, and fell a call for the strike price of 50 receiving the premium of 0.50. e (5 points) What is the minimum price that the stock must have at expiration for us not to suffer a loss on this transaction? Show your work