12) The return on Rocky Raccoon Industries stock is binomially distributed, being either up 30%, or down 20%, each period. Assume there are no dividends. The current stock price (at t0) is $100/shr, and the risk-free rate is 5% per period. a) Show the implied 3 period pattern (t0,t1,t2,t3) of future stock prices, b) Find the risk neutral probability of an up move. c) Show the pattern of option prices, and determine the present value of a three period Rocky Raccoon Industries stock AMERICAN CALL that expires in period 3 and whose strike price is $95/share. d) Show the pattern of option prices, and determine the present value of a three period Rocky Raccoon Industries stock AMERICAN PUT that expires in period 3 and whose strike price is $95/share. e) Show the pattern of option prices, and determine the present value of a three period Rocky Raccoon Industries stock EUROPEAN LOOKBACK CALL that expires in period 3 and whose strike price is $95/share. 12) The return on Rocky Raccoon Industries stock is binomially distributed, being either up 30%, or down 20%, each period. Assume there are no dividends. The current stock price (at t0) is $100/shr, and the risk-free rate is 5% per period. a) Show the implied 3 period pattern (t0,t1,t2,t3) of future stock prices, b) Find the risk neutral probability of an up move. c) Show the pattern of option prices, and determine the present value of a three period Rocky Raccoon Industries stock AMERICAN CALL that expires in period 3 and whose strike price is $95/share. d) Show the pattern of option prices, and determine the present value of a three period Rocky Raccoon Industries stock AMERICAN PUT that expires in period 3 and whose strike price is $95/share. e) Show the pattern of option prices, and determine the present value of a three period Rocky Raccoon Industries stock EUROPEAN LOOKBACK CALL that expires in period 3 and whose strike price is $95/share