8. In a market, K = 3, N = 1, r = 1/2, So = 10, S1 (wi) = 12, S (W) 21, S1w) = 12. (a) Is the market free of arbitrage? (b) Is the market complete? (c) If another asset is added, S.(0) = 7, S2(1)(wi) = 15/2, S2(1)(w) = 27/2, S2(1)(w) = 21/2, is the market complete? (d) If in addition to the above, another asset is also added, S3(0) = 10, S3(1)(wi) = 15, S3(1)(w) = 9, S3(1)(w) = 12, Is the market still complete? What would be the correct time 0 price for the newly added asset to retain a complete market? 8. In a market, K = 3, N = 1, r = 1/2, So = 10, S1 (wi) = 12, S (W) 21, S1w) = 12. (a) Is the market free of arbitrage? (b) Is the market complete? (c) If another asset is added, S.(0) = 7, S2(1)(wi) = 15/2, S2(1)(w) = 27/2, S2(1)(w) = 21/2, is the market complete? (d) If in addition to the above, another asset is also added, S3(0) = 10, S3(1)(wi) = 15, S3(1)(w) = 9, S3(1)(w) = 12, Is the market still complete? What would be the correct time 0 price for the newly added asset to retain a complete market