Q8. You are analyzing Black Hills Jewlery (BHJ) stock for a possible purchase. BHJ just paid a dividend of $1.50 yesterday. You expect the dividend to grow at the rate of 6% per year for the next 3 years; if you buy the stock, you plan to hold it for 3 years and then sell it. (12 points)

1. What dividends do you expect for JJ stock over the next 3 years? In other words, calculate D₁, D₂, and D₃. Note that D₀ = $1.50.

2. JJs stock has a required return of 13% and so this is the rate youll use to discount dividends. Find the present value of the dividend stream; that is, calculate the PV of D₁, D₂, and D₃, and then sum these PVs.

3. JJ stock should trade for $27.05 3 years from now (i.e., you expect P3 = $27.05). Discounted at a 13% rate, what is the present value of this expected future stock price? In other words, calculate the PV of $27.05.

4. If you plan to buy the stock, hold it for 3 years, and then sell it for $27.05, what is the most you should pay for it?

5. Use the constant growth model to calculate the present value of this stock. Assume that g = 6% and is constant.

6. Is the value of this stock dependent on how long you plan to hold it? In other words, if you planned holding period were 2 years or 5 years rather than 3 years, would this affect the value of the stock today? Explain your answer.

Please answer Parts E and F.