Answer: €0.93.

## Diluted EPS Calculation Explanation **Step 1: Calculate Basic EPS** First, we need to calculate the weighted average number of shares outstanding: - From Jan 1 to Mar 31 (3 months): 6,000,000 shares - From Apr 1 to Dec 31 (9 months): 10,000,000 shares Weighted average shares = (6,000,000 × 3/12) + (10,000,000 × 9/12) = (1,500,000) + (7,500,000) = 9,000,000 shares Basic EPS = Net Income / Weighted Average Shares = €9,200,000 / 9,000,000 = €1.0222 **Step 2: Calculate Diluted EPS using the If-Converted Method** For convertible debt, we need to: 1. Add back the after-tax interest expense to net income 2. Add the potential shares from conversion to the denominator After-tax interest expense = Interest expense × (1 - Tax rate) = €1,600,000 × (1 - 0.35) = €1,600,000 × 0.65 = €1,040,000 Adjusted net income for diluted EPS = Net income + After-tax interest expense = €9,200,000 + €1,040,000 = €10,240,000 Adjusted weighted average shares = Weighted average shares + Potential shares from conversion = 9,000,000 + 2,000,000 = 11,000,000 Diluted EPS = Adjusted net income / Adjusted weighted average shares = €10,240,000 / 11,000,000 = €0.9309 ≈ €0.93 **Step 3: Anti-dilution Test** We need to check if the convertible debt is dilutive: - Basic EPS = €1.0222 - Diluted EPS with conversion = €0.9309 Since €0.9309 < €1.0222, the convertible debt is dilutive and should be included in diluted EPS calculation. **Final Answer:** €0.93 (Option A) **Key Points:** 1. The if-converted method assumes conversion at the beginning of the period 2. Interest expense is added back after-tax because if converted, there would be no interest expense 3. The anti-dilution test confirms that including the convertible debt reduces EPS 4. The weighted average shares calculation accounts for the timing of the share issuance

Author: LeetQuiz .