"You are investing $X immediately in a stock that you will keep for 13 years. At the end of 13 years, the stock will be worth $12,808 with a probability of 0.41 and worth $18,075 with a probability of 0.59. When you sell the stock, you will need to pay taxes on the profit earned from selling the stock (i.e., taxes on the difference between the selling and buying prices of the stock). The tax rate will be 10% with a probability of 0.8 or 20% with a probability of 0.2. Your MARR is 7.1%. You will only invest in the stock if your expected net present worth is larger than 0. Find the largest possible value of X."