3. [10 pts.] You are trying to evaluate an exotic two-year option on TSLA. TSLA shares are currently trading at $200. Next year, TSLA shares will either increase by either 10% or decrease by 5%. In the following year, the stock price will either increase by 8% or decrease by 6%. The risk-free rate is 5% per year. However, this isn't a normal call option or put option. Instead, the option rewards you if the stock price doesn't move very much in either direction, which we will call a middle option. Specifically, if you exercise the option you will get: $25 - | stock price - $200 | (as a refresher, the " |" symbol means the absolute value). a. What is the value of the one-year European middle option