Preparing and Wrangling Data
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Valuing a stock involves assuming that its growth rate will slow down to a long-term rate comparable to the economy. The value projected at the end of the high-growth stages based on the long-term growth rate is known as the terminal value of the stock (or continuing value).
The terminal value may be calculated :
Consider the following information:
Using the Gordon growth model, the terminal value is calculated as:
$$\begin{align*}\text{Year 5 dividends}&=0.40(1.12)^{5}\\&=0.70\\ \\ \text{Terminal value}&=\frac{0.70(1.04)}{12\%-4\%}\\&=\frac{0.728}{0.08}\\&=9.16\end{align*}$$
Using a P/E multiple, the terminal value is calculated as:
$$\begin{align*}\text{Year 5 dividends}&=0.70\\ \\ \text{Year 5 EPS}&=\frac{0.70}{0.75}=0.9333\end{align*}$$
Applying the trailing P/E of 6 based on year 5 EPS of 2.8, the terminal value is:
$$\text{V}_{0}=0.9333\times6=5.6$$
Question
A company’s current EPS of $2.50 is expected to grow at 12% for 8 years. After that, it will decline to a long-term rate of 4%. If the trailing P/E at the end of the high growth stage is 9, the terminal value is closest to:
- $22.55.
- $57.80.
- $55.70.
Solution
The correct answer is C.
$$\begin{align*}\text{EPS}_{8}&=2.50(1.12)^{8}=6.19\\ \\ \text{Terminal value}&=6.19\times9=55.71\end{align*}$$
Reading 23: Discounted Dividend Valuation
LOS 23 (k) Describe the terminal value and explain alternative approaches to determining the terminal value in a DDM.