this is not multiple questions, it is one question that has four small parts. please answer all parts, will thumbs up for correct answers! thank you so much

Intro IBM just paid an annual dividend of $4 per share. The dividend is expected to grow by 3% per year. The required rate of return is 12%. Part 1 Attempt 1/3 for 10 pts. By DDM, what is the price to sell the stock in 3 years? Part 2 Attempt 1/3 for 10 pts. If you buy the stock today, hold it, sell it in 3 years at the price computed in Part 1 , what is the present value of those 3 future cashflows (D1,D2,D3+P3) you will recelve? Instead of discounting 3 future cashflows (D1,D2,D3+P3), by discounting all future dlvidends up to infinity, what is the current stock price? Part 4 Attempt 1/2 for 10 pts. You should get the same P0 from Part 2 and Part 3. What is one critical condition leading to the same P0 from two different discounting methods? The critical condition is the assumption of a constant discount rate r used for every period. The critical condition is that P3 is the present value at t=3 of all future dividends (1.e., D4,D5,D6, and on). The critical condition is the assumption of constant growth rate of dividend. The same P0 is a coincidence; there is no such critical condition