Taussig Technologies Corporation (TTC) has been growing at a rate of 20% per year in recent years. This same growth rate is expected to last for another 2 years. a._ If D₂ = $1.60, r = 10%, and g. - 6%, what is TIC's stock worth today? What are its expected dividend yield and capital gains yield at this time? 1. Find the price today. D₂ Year Dividend PV of dividends $1.7455 1.9041 $50.4593 $1.60 10.0% 20% 6% $1.60 $54.1991 - P. Short-rung for Years 1-2 only. Long-rung: for Year 3 and all following years. $1.92 $2.30 $2.44 61.0560 - Terminal value = P₂ - 2.4422 4.0% 2. Find the expected dividend yield. Recall that the expected dividend yield is equal to the next expected annual dividend divided by the price at the beginning of the period.

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Chapter7: Valuation Of Stocks And Corporations
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Taussig Technologies Corporation (TTC) has been growing at a rate of 20% per
year in recent years. This same growth rate is expected to last for another 2 years.
a. If D₂ = $1.60, r = 10%, and g. - 6%, what is TIC's stock worth today? What are its expected dividend
yield and capital gains yield at this time?
1. Find the price today.
D₁
T.
BL
Year
Dividend
PV of dividends
$1.7455+
1.9041
$50.4595
$54.1091 - P.
Dividend yield=
Dividend yield-
Dividend yield-
$1.60
10.0%
20%
$1.60
P₁
P₁
Cap. Gain yield-Expected return
Cap. Gain yield
Cap. Gain yield-
P₁
D₁
$1.920
3.55%
Cap. Gain yield
Cap. Gain yield
Cap. Gain yield
2. Find the expected dividend yield.
Recall that the expected dividend yield is equal to the next expected annual dividend divided by the price at
the beginning of the period.
20%
10.0%
6.45%
-
Short-run g; for Years 1-2 only.
Long-run g; for Year 3 and all following years.
-
$1.92
3. Find the expected capital gains yield.
The capital gains yield can be calculated by simply subtracting the dividend yield from the total
expected return.
(P₁-P)
T
1
2
$2.30
Alternatively, we can recognize that the capital gains yield measures capital appreciation, hence solve for
the price in one year, then divide the change in price from today to one year from now by the current price.
To find the price one year from now, we will have to find the present values of the terminal value and second
year dividend to time period one.
P₁
61.0560 - Terminal value P
1
1
Po
$54.109
Dividend yield
3.55%
$2.44
+
(1+r)
+
2.4422
P₁
4.0%
D₁
Transcribed Image Text:Taussig Technologies Corporation (TTC) has been growing at a rate of 20% per year in recent years. This same growth rate is expected to last for another 2 years. a. If D₂ = $1.60, r = 10%, and g. - 6%, what is TIC's stock worth today? What are its expected dividend yield and capital gains yield at this time? 1. Find the price today. D₁ T. BL Year Dividend PV of dividends $1.7455+ 1.9041 $50.4595 $54.1091 - P. Dividend yield= Dividend yield- Dividend yield- $1.60 10.0% 20% $1.60 P₁ P₁ Cap. Gain yield-Expected return Cap. Gain yield Cap. Gain yield- P₁ D₁ $1.920 3.55% Cap. Gain yield Cap. Gain yield Cap. Gain yield 2. Find the expected dividend yield. Recall that the expected dividend yield is equal to the next expected annual dividend divided by the price at the beginning of the period. 20% 10.0% 6.45% - Short-run g; for Years 1-2 only. Long-run g; for Year 3 and all following years. - $1.92 3. Find the expected capital gains yield. The capital gains yield can be calculated by simply subtracting the dividend yield from the total expected return. (P₁-P) T 1 2 $2.30 Alternatively, we can recognize that the capital gains yield measures capital appreciation, hence solve for the price in one year, then divide the change in price from today to one year from now by the current price. To find the price one year from now, we will have to find the present values of the terminal value and second year dividend to time period one. P₁ 61.0560 - Terminal value P 1 1 Po $54.109 Dividend yield 3.55% $2.44 + (1+r) + 2.4422 P₁ 4.0% D₁
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