Question: Valley Dew Corporation currently has an EPS of $3.80, and the benchmark PE for the company is 37. Earnings are expected to grow at 10 percent per year.
a. What is your estimate of the current stock price?
Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
b. What is the target stock price in one year?
Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
c. Assuming the company pays no dividends, what is the implied return on the company’s stock over the next year?
Note: Do not round intermediate calculations and enter your answer rounded to the nearest whole percent.
a. Current stock price
b. Target stock price
c. Implied return of stock
1. **State the problem:**
We are given the earnings per share (EPS) of Valley Dew Corporation as $3.80$, the price-to-earnings (PE) ratio as $37$, and the expected earnings growth rate as $10\%$ per year. We need to find:
a. The current stock price.
b. The target stock price in one year.
c. The implied return on the stock over the next year assuming no dividends.
2. **Formulas and important rules:**
- Current stock price is calculated as:
$$\text{Price} = \text{EPS} \times \text{PE}$$
- Earnings next year grow by $10\%$, so:
$$\text{EPS}_{1} = \text{EPS} \times (1 + g)$$
where $g = 0.10$.
- Target stock price in one year:
$$\text{Price}_{1} = \text{EPS}_{1} \times \text{PE}$$
- Implied return is the percentage increase in stock price:
$$\text{Return} = \frac{\text{Price}_{1} - \text{Price}}{\text{Price}} \times 100\%$$
3. **Calculate the current stock price:**
$$\text{Price} = 3.80 \times 37 = 140.6$$
4. **Calculate EPS in one year:**
$$\text{EPS}_{1} = 3.80 \times (1 + 0.10) = 3.80 \times 1.10 = 4.18$$
5. **Calculate target stock price in one year:**
$$\text{Price}_{1} = 4.18 \times 37 = 154.66$$
6. **Calculate implied return:**
$$\text{Return} = \frac{154.66 - 140.6}{140.6} \times 100 = \frac{14.06}{140.6} \times 100$$
$$= 0.1 \times 100 = 10\%$$
**Final answers:**
- a. Current stock price = $140.60$
- b. Target stock price in one year = $154.66$
- c. Implied return = $10\%$