Question
According to constant growth dividend discount model, we compute the intrinsic value of stock at time 0 (todays computed stock price), P0=D1/(k-g), where D1 is
According to constant growth dividend discount model, we compute the intrinsic value of stock at time 0 (todays computed stock price), P0=D1/(k-g), where D1 is the expected dividend next year, and k is the required return or discount rate. Assuming the required return is 20% per year. SHOW Details and the "why" to each part.
a.)If we assume dividend will grow at a constant rate of 8% infinitely. The stock price is $35 per share. If we assume the stock is correctly priced, i.e., the stock has intrinsic value equal to its market price, what is the dividend the firm is paying to its shareholders this year? Hint: D1=D0*(1+g)
b.) Instead of assuming that the firm will have a constant dividend growth ratio of 8%, if we assume that the firm will have ROE(return on asset) of 15% per year, expected EPS (earns per share, E1) of $2.50 and teh dividend payout ratio of 60%. Will you buy or sell the stock and explain WHY?
*Note that there are many conlficting answers saying to either sell or buy the stock. Here is an answer that says:Sustainable growth rate = (1- Dividend payout ratio) ROE Sustainable growth rate (g)= (1-60%) x 15% = 6% k= 20% P/E = Dividend pay out ratio /(k - g) = 60%/(20%-6%) = 4.29 times Stable period Payout Ratio = 1 - (Growth rate/ROE) = 1-(8%/15%) = 46.67% P/E = Dividend pay out ratio /(k - g) = 46.67%/(20%-8%) = 3.89 times The PE ratio increases as the payout ratio increases, for any given growth rate. Buy the stock as P/E ratio has increased.
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