
Answer-first summary for fast verification
Answer: undervalued.
## Explanation This is a two-stage dividend discount model (DDM) problem. We need to calculate the intrinsic value and compare it to the current price. **Step 1: Calculate dividends for the first 3 years** - D₁ = $2.00 × (1 + 20%) = $2.40 - D₂ = $2.40 × (1 + 20%) = $2.88 - D₃ = $2.88 × (1 + 20%) = $3.456 **Step 2: Calculate terminal value at the end of year 3** \[ \text{Terminal Value} = \frac{D_4}{r - g} = \frac{3.456 \times (1 + 6\%)}{17\% - 6\%} = \frac{3.663}{0.11} = \$33.30 \] **Step 3: Calculate present value of all cash flows** \[ \text{Intrinsic Value} = \frac{2.40}{(1.17)^1} + \frac{2.88}{(1.17)^2} + \frac{3.456}{(1.17)^3} + \frac{33.30}{(1.17)^3} \] \[ = \frac{2.40}{1.17} + \frac{2.88}{1.3689} + \frac{3.456}{1.6016} + \frac{33.30}{1.6016} \] \[ = 2.051 + 2.104 + 2.158 + 20.79 = \$27.10 \] **Step 4: Compare with current price** - Intrinsic Value = $27.10 - Current Price = $31.00 - The stock is trading above its intrinsic value **Step 5: Apply the +/- 10% band** - Fair value range: $27.10 × 0.90 to $27.10 × 1.10 = $24.39 to $29.81 - Current price ($31.00) is above the upper bound of the fair value range Therefore, the stock is **overvalued** and the correct answer is **C**.
Author: LeetQuiz Editorial Team
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An analyst gathers the following information about a company's common stock:
$2.00$31.00The analyst considers a security trading within a band of +/- 10% of her estimate of intrinsic value to be fairly valued. If the required return is 17%, the common stock is:
A
undervalued.
B
fairly valued.
C
overvalued.
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