Question

P8.14 (similar to) Question Help Assume you've generated the following information about the stock of Ben's Banana Splits: The company's latest dividends of $1.73 a share are expected to grow to $1.83 next year, to $1.94 the year after that, and to $2.06 in year 3. After that, you think dividends will grow at a constant 5% rate a. Use the variable growth version of the dividend valuation model and a required return of 12% to find the value of the stock. b. Suppose you plan to hold the stock for three years, selling it immediately after receiving the $2.06 dividend. What is the stock's expected selling price at that time? As in part a, assume a required return of 12% c. Imagine that you buy the stock today paying a price equal to the value that you calculated in part a. You hold the stock for three years, receiving dividends as described above. Immediately after receiving the third dividend, you sell the stock at the price calculated in part b. Use the IRR approach to calculate the expected return on the stock over three years. Could you have guessed what the answer would be before doing the calculation? d. Suppose the stock's current market price is actually $25.64. Based on your analysis from part a, is the stock overvalued or undervalued? e. A friend of yours agrees with your projections of Ben's Banana Splits future dividends, but he believes that in three years, just after the company pays the $2.06 dividend, the stock will be selling in the market for $53.42. Given that belief, along with the stock's current market price from part d, calculate the return that your friend expects to earn on the stock over the next three years.

Answer 1

Answer : Colculation of Dividend : Time period Amount ($) Do [latest Divided 1.73 1.83 Dz 1.94 2.06 Du 2.06(1+0.os) 0.12 Required Role of Return = 12% or lie.ke value of Stock = D. + D2 t (It ke ) (the) ² (1+ Koj3 (1tke) 3 (ke og ]

- 1.83 + (1+0.12) 1.94 (10.12) & 2.06 (1+0.12) 3 2.163 x (1+0.125 1 0.07 1 - $26.64 PPPPPP (6) Price of Stock amount of after 3 years (ie after Receiving the $2.06) will be as follows: Dividend Price of Stock - Next Expected Dividend ke - ig stands for perpetual growth Role Value of Stock = 2.06(to.os) 0.12 -0.05 2.163 0.07 = $30.9 (6) At IRR (Internal Rote of Return the present Value of equivalent to Present Value of Cash Outflows. Cash inflow is POPSPPPP Present Value of Cash out flow = Amount paid (as per port(o)] = $26.64 Present Valus of Gsh in flows = → As colculated in port (b) ie. Selling price 1.83 & 1.94 + 2.06 & 130.9 (Itke) (1+ke)? Itke)s (lt ke 3 At ke = 12% pa Present Vale of ash in flows = $26.64 Therefore, At rate of 12r., the Present value of cash inflows is. equal to present value of Cash outflow.

ve the Colculation, since all to Stock is done @ 12% itselt, To guessed it before Value of Com Yes, we could have quessed it before the Calculation for computing the value of Stock is ac being the required rote of Retorn (d) Actual Morket price < foir Value of Stock /as per port cauf $25.64 < $26.64 Thus, it is Under volved Stratocy: Buy DWURDU