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Assume that there is additional market information in the financial market, which is represented by n given T-contingent claims. The special claims with observed prices at time 0 can only be traded at time 0. Hence, investment opportunities increase. By means of the techniques developed by Gourierout et al. (1998), the mixed hedging problem is considered, especially, the price of contingent claim and the optimal hedging strategy are obtained. An explicit description of the mean-variance efficient solution is given after arguing mean-variance efficient frontier problem.