[12 marks] Single-period multi-state model. Consider a single-period market model M=(B,S) on a finite sample space ={1,2,3}. We assume that the money market account B equals B0=1 and B1=4 and the stock price S=(S0,S1) satisfies S0=2.5 and S1=(18,10,2). The real-world probability P is such that P(i)=pi>0 for i=1,2,3 c) Compute the arbitrage price 0(X) using the risk-neutral valuation formula with an arbitrary martingale measure Q from M. d) Show directly that the contingent claim Y=(Y(1),Y(2),Y(3))=(10,8,2) is not attainable, that is, no replicating strategy for Y exists in M