A trader shorts 2 European calls and 3 European puts on a stock. Both the calls and puts will be expired in 3 months and are traded at $5 and $4 with strike prices $45 and $40, respectively. Find the range of the underlying asset price such that the trader's positions will lead to a profit in three months? What will be the profit/loss of a short strangle created using the call and put options, if the stock price is $60 at expiration? If the risk free rate is 5% with continuous compounding and the stock price is 43, what is the price of the 3-month European put option with a strike price of $45