
Explanation:
This question requires calculating the intrinsic value using the H-model for dividend discounting. The H-model accounts for a period of declining growth rates from an initial high rate to a perpetual growth rate.
Given:
H-model formula: V0 = [D0 × (1 + gL)] / (r - gL) + [D0 × H × (gs - gL)] / (r - gL) Where H = N/2 = 8/2 = 4
Calculation: V0 = [2.00 × (1 + 0.05)] / (0.15 - 0.05) + [2.00 × 4 × (0.20 - 0.05)] / (0.15 - 0.05) V0 = [2.10] / 0.10 + [2.00 × 4 × 0.15] / 0.10 V0 = 21.00 + [1.20] / 0.10 V0 = 21.00 + 12.00 = €33.00
Fair value range: +/- 10% of €33.00 = €29.70 to €36.30 Current price €33.50 is within this range, so the stock is fairly valued.
Answer: B
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The 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 15%, the common stock is:
A
undervalued.
B
fairly valued.
C
overvalued.