For all problems in this section, use the binomial tree model. Unless otherwise stated, assume no arbitrage. A stock is currently priced at $50.00. The risk free rate is 6.1% per annum with continuous compounding. In 5 months, its price will be $57.50 with probability 0.58 or $40.00 with probability 0.42. Using the binomial tree model, compute the present value of your expected profit if you buy a 5 month European call with strike price $53.00. Recall that profit can be negative.