a) Define the following as used in financial economics. (10 marks) i) Security price ii) State price iii) 2nd order stochastic dominance iv) Arbitrage v) Short selling b) After optimization, agent i 's consumption-portfolio choice problem reduces to pj=xjsu0(c0,c1)u1(c0,c1). Under what conditions would portfolio allocation {hi} and consumption allocation {(c0,c1)} provide equilibrium in the security market? (6 marks) c) Using matrix algebra show that it's valid to represent the payoffs and the price of a portfolio as hX and ph respectively. If h=h1,h2,hjp=p1,p2,pj and XT=[x1,,xj] (9 marks) d) State and explain the implications of market completeness