You are an investment adviser

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.