please write out equations for each answer!

12. Dividend Discount Model. Integrated Potato Chips just paid a \$1 per share dividend. You expect the dividend to grow steadily at a rate of 4% per year. (LO7-2) a. What is the expected dividend in each of the next three years? b. If the discount rate for the stock is 12%, at what price will the stock sell? c. What is the expected stock price three years from now? d. If you buy the stock and plan to sell it three years from now, what are your expected cash flows in (i) year 1 ; (ii) year 2; (iii) year 3 ? e. What is the present value of the stream of payments you found in part (d)? Compare your answer to part (b)