A method for valuing and exchanging flatted shares of a private company using a computerized trading platform includes receiving company ownership data including a number of securities in one or more investment classes held by a plurality of shareholders in the private company. A transaction price is computed for buying flatted shares in a special purpose vehicle (SPV) using an auction algorithm based on the bidding price for each of the buy orders from a plurality of investors in the SPV for identifying a set of investors from the plurality of investors whose buy orders include bidding prices larger than or equal to the computed transaction price. Upon assessing that a criterion for SPV formation is met, a buy-back of a portion of a number of securities held by at least one selling shareholder is performed and the flatted SPV shares are issued to the set of investors.
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