More one period replicating portfolios: Suppose a stock index is currently trading at 4000 (and to keep things simple, we assume it also pays no dividends-at least for now!). Next period the index will either go up by 11% or down by 9%. The simple one-period risk-free rate is 1%. (a) What are the replicating portfolios for the one-period calls on the index struck at K=3800 and K=4200 ? (b) So what are these calls' prices? (c) What are the replicating portfolios for the one-period puts with the same two strikes? (d) So what are these puts' prices? (e) Again, please also report the risk-neutral probability of the up-move, and use this to price both the put and the call using the risk-neutral pricing methodology