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You are an investment adviser

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You are an investment adviser. One of your clients approaches you for your advice on investing in equity shares of Alpha Company. You have collected the following data: Earnings per share last year $4.00 Payout ratio 0.40 Return on equity 0.25 Cost of equity capital 0.20 The company plans to increase the payout ratio to 50% after year 5. Required: i) Estimate the price of an equity share of this company using an appropriate dividend discount model and advise briefly your client whether they should buy a share of the company.