out the following dats relates to three dreferent securities prevailing in three different ctates : Details State ( State 2 State 3 Probability 03 0- 4 0 . 3 E Pay-off : Security X 4 5 Rick - free security security 4 2 Ca) What are the assumptions that must hold for the State preference theory to be a valid one Wo) Given that security x 's sold at RS 3-62 , security y at Rs2-05 and the risk - free Interest rate is 4 . 15 . , calculate the prices of the pure securities 1 Security ? has a pay-off of 3. 4 + in State 3 respectively. What should be a fair market price of security ? ?Question 5 A portfolio consists of assets A and B, which possess the following expected return, risk and weights. Standard Expected Deviation! Asset retum!% % Weight A 10 20 0.35 B 15 25 0.65 (i) What correlation between the two assets produces the maximum portfolio standard deviation? (ii) What correlation between the two assets produces the minimum portfolio standard deviation? For both parts (i) and (ii) of this question, show your calculations