Keidis Industries will pay a dividend of $2.85, $3.95, and $5.15 per share for each of the next three years, respectively. In four years, you believe that the company will be acquired for $46.00 per share. The return on similar stocks is 9.5 percent. What is the current stock price? a) $54.72 b) $45.64 c) $42.38 d) $41.82 e) $47.81

Present value = $41.8160 rounded off to $41.82

Explanation:

Using the dividend discount model, we calculate the price of the stock today. It values the stock based on the present value of the expected future dividends from the stock. To calculate the present value of the next four dividends, we will use the following formula,

Present value = D1 / (1+r)  +  D2 / (1+r)^2  +  D3 / (1+r)^3  +  P4 / (1+r)^4

Where,

r is the required rate of return

Present value = 2.85 / (1+0.095)  +  3.95 / (1+0.095)^2  +    

5.15 / (1+0.095)^3  +  46 / (1+0.095)^4

Present value = $41.8160 rounded off to $41.82