Asonia Co. will pay a dividend of \( \$ 5.70, \$ 9.80, \$ 12.65 \), and \( \$ 14.40 \) per share for each of the next four years, respectively. The company will then close its doors. If investors require a return of10.8 percent on the company's stock, what is the stock price?
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To find the stock price, we must calculate the present value of future dividends expected from Asonia Co. over the next four years and then discount these dividends back to today. 1. Calculate the present value of each dividend: - Year 1 Dividend: \( \frac{5.70}{(1 + 0.108)^1} \) - Year 2 Dividend: \( \frac{9.80}{(1 + 0.108)^2} \) - Year 3 Dividend: \( \frac{12.65}{(1 + 0.108)^3} \) - Year 4 Dividend: \( \frac{14.40}{(1 + 0.108)^4} \) 2. Compute the values: - Year 1: \( \frac{5.70}{1.108} = 5.15 \) - Year 2: \( \frac{9.80}{1.228864} = 7.99 \) - Year 3: \( \frac{12.65}{1.364029} = 9.28 \) - Year 4: \( \frac{14.40}{1.513614} = 9.53 \) 3. Sum these present values to find the stock price: - Stock Price = \( 5.15 + 7.99 + 9.28 + 9.53 = 31.95 \) Thus, the stock price of Asonia Co. is approximately \( \$ 31.95 \).
