please show how to calculate this question the asnwer should be the (second option)

. The stock's price is $100. After three months, it either goes up and gets multiplied by the factor U = 1.3847256, or it goes down and gets multiplied by the factor D = 0.88664332. Options mature after T = 0.5 year and have a strike price of K = $105. The continuously compounded risk-free interest rater is 5 percent per year. Today's European call price is c and the put price is p. Call prices after one period are denoted by cu in the up node and co in the down node. Call prices after two periods are denoted by Cup in the "up, and then down node" and so on. Put prices are similarly defined. . Which set of arbitrage-free put prices (in dollars) is correct? 1. p = 2.00, pu = 0, and po = 4.06 2. p = 8.41, pu = 2.00, and po = 15.03 3. p = 15.03. pu = 4.06, and po = 26.39 4. p = 8.41, pu = 0, and po = 26.39 5. None of these answers are correct