| Chapter 9. Comprehensive/Spreadsheet
problem |
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| Taussig
Technologies Corporation (TTC) has been growing at a rate of 20% per year in
recent years. This |
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| same
growth rate is expected to last for another 2 years, then to decline to gn = 6%. |
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| a. If D0 = $1.60 and rs = 10%,what is TTC's stock worth
today? What are its expected dividend |
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| and capital gains yields at this time,
that is, during Year 1? |
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| 1.
Find the price today. |
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| D0 |
$1.60 |
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| rs |
10.0% |
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| gs |
20% |
Short-run g; for Years
1-2 only. |
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| gn |
6% |
Long-run g; for Year 3
and all following years. |
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6% |
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| Year |
0 |
1 |
2 |
3 |
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| Dividend |
$1.6000 |
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| PV of dividends |
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= Horizon value = P2 = |
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= rs
- gn |
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= P0 |
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| 2.
Find the expected dividend yield. |
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| Recall
that the expected dividend yield is equal to the next expected annual
dividend divided by the price at |
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| the
beginning of the period. |
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| Dividend yield = |
D1 |
/ |
P0 |
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| Dividend yield = |
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| Dividend yield = |
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| 3.
Find the expected capital gains yield. |
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| The
capital gains yield can be calculated by simply subtracting the dividend
yield from the expected |
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| total return. |
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| Cap. gain yield = |
Expected total return |
− |
Dividend yield |
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| Cap. gain yield = |
10.0% |
− |
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| Cap. gain yield = |
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| b. Now assume that TTC's period of
supernormal growth is to last for 5 years rather than 2 years. |
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| How would this affect the price,
dividend yield, and capital gains yield? |
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| 1. Find the price today. |
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| D0 |
$1.60 |
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| rs |
10.0% |
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| gs |
20% |
Short-run g; for Years
1-5 only. |
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| gn |
6% |
Long-run g; for Year 6
and all following years. |
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6% |
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| Year |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
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| Dividend |
$1.6000 |
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= Horizon value = P5 = |
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= P0 |
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= rs
− gn |
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| Part
2. Find the expected dividend yield. |
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| Dividend yield = |
D1 |
/ |
P0 |
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| Dividend yield = |
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| Dividend yield = |
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| Part
3. Find the expected capital gains yield. |
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| Cap. gain yield = |
Expected total return |
- |
Dividend yield |
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| Cap. gain yield = |
10.0% |
- |
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| Cap. gain yield = |
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| d. TTC recently introduced a new line of
products that has been wildly successful.
On the basis of this |
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| success and anticipated future success,
the following free cash flows were projected: |
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| Year |
FCF (in millions) |
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| 1 |
$5.5 |
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| 2 |
$12.1 |
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| 3 |
$23.8 |
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| 4 |
$44.1 |
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| 5 |
$69.0 |
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| 6 |
$88.8 |
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| 7 |
$107.5 |
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| 8 |
$128.9 |
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| 9 |
$147.1 |
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| 10 |
$161.3 |
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| After the 10th year, TTC's financial
planners anticipate that its free cash flow will grow at a constant rate |
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| of 6%.
Also, the firm concluded that the new product caused the WACC to fall
to 9%. The market value |
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| of TTC's debt is $1,200 million, it uses
no preferred stock, and there are 20 million shares of common |
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| stock outstanding. Use the corporate valuation model approach
to value the stock. |
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| INPUT
DATA: (Dollars in Millions) |
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| WACC |
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9% |
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6% |
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| Millions
of shares |
20 |
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| MV of debt |
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$1,200 |
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| Year |
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| 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
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10 |
11 |
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| FCF's |
$5.5 |
$12.1 |
$23.8 |
$44.1 |
$69.0 |
$88.8 |
$107.5 |
$128.9 |
$147.1 |
$161.3 |
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| PV of FCF's |
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| PV of FCF1-10
= |
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| HV
at Year 10 of FCF after Year 10 = FCF11/(WACC–
gn): |
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| PV
of HV at Year 0 = HV/(1+WACC)10: |
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| Sum
= Value of the Total Corporation |
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| Less:
MV of Debt and Preferred |
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| Value
of Common Equity |
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| Number
of Shares (in Millions) to Divide By: |
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| Value
per Share = Value of Common Equity/No. Shares: |
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versus |
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using the discounted |
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dividend model |
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| The
price as estimated by the corporate valuation method differs from the
discounted dividends method because |
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| different
assumptions are built into the two situations. If we had projected financial statements,
found both |
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| dividends
and free cash flow from those projected statements, and applied the two
methods, then the |
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| prices
produced would have been identical. As it stands, though, the two prices were
based on somewhat |
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| different
assumptions, hence different prices were obtained. Note especially that in the FCF model we |
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| assumed
a WACC of 9% versus a cost of equity of 10% for the
discounted dividend model. That would obviously tend to |
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| raise the price. |
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Solution: FINANCE-Financial Management Excel Project.