Explanation
The EPS will increase because:
Key Calculation:
- Earnings yield = EPS / Price per share = 3/40 = 7.5%
- After-tax cost of debt = 7%
Analysis:
- The earnings yield (7.5%) exceeds the after-tax cost of debt (7%)
- This creates a positive spread of 0.5%
- When the earnings yield > cost of debt, share repurchases financed with debt will increase EPS
Concept:
- The company is essentially borrowing at 7% to buy assets (shares) that earn 7.5%
- This creates value and increases earnings per remaining share
- The reduction in shares outstanding combined with the positive spread leads to EPS accretion
Therefore, the share repurchase will increase EPS.