A start-up company plans to pay a $0.20 dividend in one year and grow that dividend at

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Question:

A start-up company plans to pay a $0.20 dividend in one year and grow that dividend at 10% per year for the following five years (up through the sixth dividend). Starting in the seventh year, the start-up will not pay any regular dividend. Instead, the start-up expects to be bought by a larger company at the end of the tenth year with 60% probability, and if so, there will be a liquidating dividend at that time that equals 2 million. Suppose that if the start-up is not sold to a larger company at the end of the tenth year, the start-up will be liquidated immediately and the liquidating dividend in this case will be either 1 million or 1.5 million, equally likely. Suppose the expected returns for the start-up are a constant 10% per year. Assuming there are 200,000 shares outstanding and this number of shares will not change in the future, what is the per- share price for this startup's equity now