Rachel is considering an investment in Yonan Communications, whose stock currently sells for $$60.$ A put option on Yonan's stock, with an exercise price of $$55,$ has a market value of $$2\mathrm{.}89.$ Meanwhile, a call on the stock with the same exercise price and time until expiration has a market value of $$9\mathrm{.}20.$ The market believes that at the expiration of the options, the stock price will be $$50$ or $$75$ with equal probability. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

Open spreadsheet