Just C, thank you

9. Let's denote the price of stock X today (t = 0) as So and the price of a stock tomorrow (t = 1) as Si. We know that So = 50. We also know that S1 = (1 + r)So, r is the rate of return, which is uncertain. For simplicity, assume that tomorrow, the return r can either go up (r = 0.10) or down (r = -0.15). The probability of going up is 2/3 in t = 1. You plan to potentially hold the stock for 2 periods, so you did some research to try and figure out the price of the stock at t = 2 (S2). You found out that after an "up" market in t = 1, the probability of the market improving in t =2 becomes 3/4. Also, after a "down" market in t = 1, the chances of going "down" again in t = 2 become 2/3. a. Create the payoff tree to map out the potential stock prices two periods ahead (S2), On the payoff tree indicate the probability of the final potential prices and the potential S2 price levels. (8 points) b. Calculate the expected price of the stock, two periods ahead (that is, E(S2)). (2 points) C. Calculate the variance of stock's price, two periods ahead (that is, Variance(Sz)). (5