Question

If investors expect a total return of 14.60%, what will be Goodwin’s expected dividend and capital gains yield in two years—that is, the year before the firm begins paying dividends? Again, remember to carry out the dividend values to four decimal places. (Hint: You are at year 2, and the first dividend is expected to be paid at the end of the year. Find DY₃ and CGY₃.) Expected dividend yield (DY₃) 7.34% Expected capital gains yield (CGY₃)

Answer 1

Answer:

First Expected Dividend will come in at the end of Year 3 or t=3 assuming current time is t=0.

D3 = $ 4.25, Growth Rate for year 4 and year 5 = 22.1 %

Therefore, D4 = D3 x 1.221 = 4.25 x 1.221 = $ 5.18925 and D5 = D4 x 1.221 = 5.18925 x 1.221 = $ 6.33607

Growth Rate post Year 5 = 4.08 %

D6 = D5 x 1.0408 = 6.33607 x 1.0408 = $ 6.59459

Required Return = 13.6 %

Therefore, Current Stock Price = Present Value of Expected Dividends = [6.59459 / (0.136-0.0408)] x [1/(1.136)^(5)] + 4.25 / (1.136)^(3) + 5.18925 / (1.136)^(4) + 6.33607 / (1.136)^(5) = $ 45.979 ~ $ 45.98

Price at the end of Year 2 = P2 = Present Value of Expected Dividends at the end of year 2 = [6.59459 / (0.136-0.0408)] x [1/(1.136)^(3)] + 4.25 / (1.136) + 5.18925 / (1.136)^(2) + 6.33607 / (1.136)^(3) = $ 59.3358 ~ $ 59.34

Dividend Yield at the end of year 3 = DY3 = D3 / P2 = 4.25 / 59.34 = 0.07612 or 7.612 %

Total Required Return = 14. 6 %

Therefore, Required Capital Gains Yield = 14.6 % - 7.612 % = 6.988 %