Question

Goodwin Technologies, a relatively young company, has been wildly successful but has yet to pay a dividend. An analyst forecasts that Goodwin is likely to pay its first dividend three years from now. She expects Goodwin to pay a $2.75000 dividend at that time (D₃ = $2.75000) and believes that the dividend will grow by 14.30000% for the following two years (D₄ and D₅). However, after the fifth year, she expects Goodwin’s dividend to grow at a constant rate of 3.72000% per year.
Goodwin’s required return is 12.40000%. Fill in the following chart to determine Goodwin’s horizon value at the horizon date (when constant growth begins) and the current intrinsic value.
To increase the accuracy of your calculations, do not round your intermediate calculations, but round all final answers to two decimal places.
Term Value
Horizon value $42.93
Current intrinsic value $29.84
1. If investors expect a total return of 13.40%, what will be Goodwin's expected dividend and capital gains yield in two years-that is, the year before the firm begins paying dividends?
2. Is this statement a possible explanation for why the firm hasn't paid a dividend yet?
A. Yes
B. NO

Answer 1

Answer:

horizon value at year 5 = Div₆ / (Re - g)

• Div₆ = ($2.75 x 1.143²) x 1.0372 = $3.726384483
• Re = 12.4%
• g = 3.72%

horizon value at year 5 = $3.726384483 / (12.4% - 3.72%) = $42.93

current value P₀ = $2.75/1.124³ + $3.14325/1.124⁴ + $46.52273/1.124⁵ = $1.937 + $1.969 + $25.932 = $29.838 ≈ $29.84

1) dividend yield = 0/$29.84 = 0%

capital gains yield = (P₁ - P₀) / P₀

P₁ = $2.75/1.124 + $3.14325/1.124² + $46.52273/1.124³ = $2.447 + $2.488 + $32.762 = $37.697 ≈ $37.70

capital gains yield = ($37.70 - $29.84) / $29.84 = 26.34%

2) Goodwin has yet to record a profit (positive net income). Is this statement a possible explanation for why the firm hasn't paid a dividend yet?

A. Yes

Since dividends must be paid out from net profits or retained earnings.  

Answer 2

1. Dividend yield is = 26.34%

2. Goodwin has yet to record a profit (positive net income) Yes it is a correct statement.

Calculate Dividend Growth Rate

The horizon value at year 5 is = Div₆ / (Re - g)

Then, Div₆ is = ($2.75 x 1.143²) x 1.0372 = $3.726384483

After that, Re = 12.4%

Then, g = 3.72%

Now, When The horizon value at year 5 is = $3.726384483 / (12.4% - 3.72%) = $42.93

The current value P₀ is = $2.75/1.124³ + $3.14325/1.124⁴ + $46.52273/1.124⁵ is = $1.937 + $1.969 + $25.932 = $29.838 ≈ $29.84

1) dividend yield is = 0/$29.84 = 0%

After that, capital gains yield = (P₁ - P₀) / P₀

Hence, P₁ = $2.75/1.124 + $3.14325/1.124² + $46.52273/1.124³ = $2.447 + $2.488 + $32.762 = $37.697 ≈ $37.70

Therefore, capital gains yield = ($37.70 - $29.84) / $29.84 = 26.34%

2) Goodwin has yet to document a profit (positive net income). So, The correct option is = A. Yes

Since When The dividends must be paid out from net profits or retained earnings.

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