
Answer-first summary for fast verification
Answer: €1.14
**Explanation:** When a company has convertible preferred stock outstanding, diluted EPS is calculated using the **if-converted method**. The formula for diluted EPS in this scenario is: \[ \text{Diluted EPS} = \frac{\text{Net income}}{\text{Weighted average number of shares outstanding} + \text{New common shares that would have been issued at conversion}} \] Plugging in the numbers: \[ \text{Diluted EPS} = \frac{€5,000,000}{2,000,000 + (6 \times 400,000)} = \frac{€5,000,000}{4,400,000} = €1.14 \] **Key Points:** 1. **Option A (€0.95)** is incorrect because it subtracts the preferred dividends from net income in the diluted EPS calculation, which is not required under the if-converted method. 2. **Option B (€1.02)** is incorrect because it subtracts the common dividends from net income, which is also not part of the if-converted method. 3. **Basic EPS** is calculated as: \[ \text{Basic EPS} = \frac{\text{Net income} - \text{Preferred dividends}}{\text{Weighted average number of shares outstanding}} = \frac{€5,000,000 - (400,000 \times €2)}{2,000,000} = €2.10 \] Since diluted EPS (€1.14) is less than basic EPS (€2.10), the convertible preferred shares are dilutive, and the correct answer is **C (€1.14)**.
Author: LeetQuiz Editorial Team
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An analyst gathers the following information about a company's fiscal year ended 31 December:
A
€0.95
B
€1.02
C
€1.14