Before revision:  We concentrate on sequences of semi-complete markets where for each n the claim B_n admits the decomposition B_n = D_n+Y_n where D_n is replicable and Y_n is completely unhedgeable in that the indifference price of Y_n for an exponential investor is its certainty equivalent .
After revision:  We concentrate on sequences of semi-complete markets where for each n the claim B_n admits the decomposition B_n = D_n+Y_n where D_n is replicable by trading in the underlying assets S_n, but Y_n is independent of S_n .