Consider the model constituted by three securities. The bank account whose price process is A(0) = A(1) = A(2) = 1, and two stocks with the price processes defined by S(0) = 1.129, S2(0) = 0.6935 S (I) = 0.8 for an = 1.5 for w3,04 =0.73 for as an S (2) = 0 for on = 1 for an = 0 for a = 2 for ou = 0.82 for as = 0.64 for os S_(1) = 0.2 for 0.02 = 1.25 for 03, 044 = 0.095 for os, ex S2(2) = 1 for = 0 for an = 2 for a = 1 for all = 0.1 for oss = 0.09 for ons a) Does the model have risk-neutral measures? How many? b) Could you give a risk neutral such that (8) # " (0) c) Could you give a risk neutral Q such that O" () = O' (ww.) = 0.4 d) Give all the risk neutral measures such that O* () = (x) = 0,04 e) Could you give a risk-neutral Q such that "(0) = 0.5Q (04). 1) Consider a call option on the second stock with exercise price K = 0.7. Calculate a price of this call option at time t = 0 and 1 = 1 such that new market is arbitrage free. Consider the model constituted by three securities. The bank account whose price process is A(0) = A(1) = A(2) = 1, and two stocks with the price processes defined by S(0) = 1.129, S2(0) = 0.6935 S (I) = 0.8 for an = 1.5 for w3,04 =0.73 for as an S (2) = 0 for on = 1 for an = 0 for a = 2 for ou = 0.82 for as = 0.64 for os S_(1) = 0.2 for 0.02 = 1.25 for 03, 044 = 0.095 for os, ex S2(2) = 1 for = 0 for an = 2 for a = 1 for all = 0.1 for oss = 0.09 for ons a) Does the model have risk-neutral measures? How many? b) Could you give a risk neutral such that (8) # " (0) c) Could you give a risk neutral Q such that O" () = O' (ww.) = 0.4 d) Give all the risk neutral measures such that O* () = (x) = 0,04 e) Could you give a risk-neutral Q such that "(0) = 0.5Q (04). 1) Consider a call option on the second stock with exercise price K = 0.7. Calculate a price of this call option at time t = 0 and 1 = 1 such that new market is arbitrage free