Workbook on IAS 33 Earnings per share
IAS 33 STUDENT HANDBOOK
Earnings Per Share Made Simple
A Practical Guide for Finance Graduates Current Standard
INTRODUCTION
Welcome to your comprehensive guide to IAS 33 - Earnings Per Share! This handbook is designed specifically for finance graduates who need to understand and apply EPS calculations in their professional careers.
Why EPS Matters
Earnings Per Share is one of the most widely watched financial metrics by investors, analysts, and management. It shows how much profit each share has earned and is crucial for:
- Valuing companies
- Comparing performance across companies
- Making investment decisions
- Executive compensation decisions
What You'll Learn
- Basic and Diluted EPS calculations
- Real-world examples and scenarios
- Common pitfalls and how to avoid them
- Practical implementation tips
1. KEY DEFINITIONS
Essential Terms You Must Know
Ordinary Shares (Common Stock) The basic equity shares that have voting rights and participate in profits after all other claims are satisfied.
Basic EPS Net income available to ordinary shareholders ÷ Weighted average ordinary shares outstanding
Diluted EPS Shows EPS if all dilutive potential ordinary shares were converted to actual shares.
Potential Ordinary Shares Financial instruments that could become ordinary shares, such as:
- Stock options
- Convertible bonds
- Convertible preferred shares
- Warrants
Dilutive vs. Anti-dilutive
- Dilutive: Decreases EPS (bad for shareholders)
- Anti-dilutive: Increases EPS (good for shareholders) - excluded from diluted EPS
2. BASIC EPS - THE FOUNDATION
The Basic Formula
| Basic EPS = | Net Income - Preferred Dividends |
|---|---|
| Weighted Average Ordinary Shares Outstanding |
Step-by-Step Calculation
Step 1: Calculate the Numerator
Net Income $1,000,000
Less: Preferred dividends paid (50,000)
Net income available to ordinary $ 950,000
shareholders
Step 2: Calculate the Denominator
Weighted average ordinary shares 100,000 shares
Step 3: Calculate Basic EPS
Basic EPS = $950,000 ÷ 100,000 = $9.50 per share
Simple Example
ABC Company - Year Ended December 31, 2024
| Item | Amount |
|---|---|
| Net Income | $500,000 |
| Preferred dividends paid | $30,000 |
| Ordinary shares outstanding (all year) | 50,000 |
Calculation:
- Net income available to ordinary shareholders = $500,000 - $30,000 = $470,000
- Basic EPS = $470,000 ÷ 50,000 = $9.40 per share
3. WEIGHTED AVERAGE SHARES - GETTING THE DENOMINATOR RIGHT
Why Weighted Average?
If a company issues or buys back shares during the year, we need to weight them by the time they were outstanding.
Example: Share Issues During the Year
XYZ Company:
- January 1: 40,000 shares outstanding
- April 1: Issued 20,000 new shares
- October 1: Bought back 10,000 shares
| Period | Shares Outstanding | Months | Weighted Shares |
|---|---|---|---|
| Jan 1 - Mar 31 | 40,000 | 3 | 10,000 |
| Apr 1 - Sep 30 | 60,000 | 6 | 30,000 |
| Oct 1 - Dec 31 | 50,000 | 3 | 12,500 |
| Total | 12 | 52,500 |
Weighted Average = 52,500 shares
Bonus Shares and Stock Splits
Important Rule: Bonus shares and stock splits are treated as if they occurred at the beginning of the year.
Example:
- Company had 10,000 shares outstanding all year
- December 15: 2-for-1 stock split
- Weighted average shares = 10,000 × 2 = 20,000 shares
4. DILUTED EPS - THE COMPLETE PICTURE
The Concept
Diluted EPS answers the question: "What would EPS be if all potential shares became actual shares?"
Basic Approach
- Adjust the numerator (add back any income effects)
- Adjust the denominator (add potential shares)
- Test for dilution (only include if EPS decreases)
The Treasury Stock Method (For Options)
Assumption: Company uses cash from option exercises to buy back shares at average market price.
Example: Stock Options
DEF Company:
- Basic EPS: $10.00
- 1,000 stock options outstanding
- Exercise price: $15 per share
- Average market price: $25 per share
Calculation:
Cash from exercise: 1,000 × $15 = $15,000
Shares bought back: $15,000 ÷ $25 = 600 shares
Net increase in shares: 1,000 - 600 = 400 shares
Diluted EPS denominator = Basic shares + 400 = Diluted shares
5. COMMON DILUTIVE INSTRUMENTS
1. Stock Options and Warrants
Key Points:
- Only dilutive if market price > exercise price
- Use treasury stock method
- Based on average market price during period
Example:
| Detail | Amount |
|---|---|
| Options outstanding | 5,000 |
| Exercise price | $20 |
| Average market price | $30 |
| Cash from exercise | $100,000 |
| Shares repurchased | 3,333 |
| Net dilutive shares | 1,667 |
2. Convertible Bonds
Approach:
- Add back interest expense (after tax) to numerator
- Add converted shares to denominator
Example: Convertible Bond
GHI Company:
- $1,000,000 convertible bonds
- 6% interest rate
- Tax rate: 25%
- Conversion ratio: 50 shares per $1,000 bond
Adjustments:
Interest saved (after tax): $1,000,000 × 6% × (1-25%) = $45,000
Shares if converted: $1,000,000 ÷ $1,000 × 50 = 50,000 shares
3. Convertible Preferred Shares
Approach:
- Add back preferred dividends to numerator
- Add converted shares to denominator
Example:
| Detail | Amount |
|---|---|
| Preferred shares | 1,000 |
| Annual dividend | $100 per share |
| Conversion ratio | 10 ordinary shares per preferred |
| Dividend adjustment | +$100,000 |
| Share adjustment | +10,000 shares |
6. PRESENTATION AND DISCLOSURE
Required Presentation
On the Face of the Income Statement:
| Line Item | Basic EPS | Diluted EPS |
|---|---|---|
| Earnings per share: | ||
| - Continuing operations | $8.50 | $8.20 |
| - Discontinued operations | $(0.30) | $(0.25) |
| - Net income | $8.20 | $7.95 |
Required Disclosures in Notes
- Numerator reconciliation
- Denominator reconciliation
- Description of potential ordinary shares
- Anti-dilutive instruments excluded
- Post-balance sheet events affecting shares
Example Note Disclosure
Note 15: Earnings Per Share
Numerator:
| Item | 2024 | 2023 |
|---|---|---|
| Net income | $1,250,000 | $1,100,000 |
| Less: Preferred dividends | (75,000) | (75,000) |
| Net income for basic EPS | $1,175,000 | $1,025,000 |
| Add: Interest on convertible bonds (net of tax) | 22,500 | 22,500 |
| Net income for diluted EPS | $1,197,500 | $1,047,500 |
Denominator:
| Item | 2024 | 2023 |
|---|---|---|
| Weighted average shares - basic | 125,000 | 120,000 |
| Add: Potential shares from options | 3,200 | 2,800 |
| Add: Convertible bonds | 15,000 | 15,000 |
| Weighted average shares - diluted | 143,200 | 137,800 |
7. PRACTICAL EXAMPLES AND CASE STUDIES
Case Study 1: Technology Company
TechCorp Inc. - Annual Results
Basic Information:
- Net income: $2,400,000
- Preferred dividends: $120,000
- Shares outstanding Jan 1: 200,000
- Issued 60,000 shares on July 1
- Tax rate: 30%
Outstanding Securities:
- 10,000 stock options (exercise price $40, average market price $60)
- $500,000 convertible bonds (8% interest, convertible to 25,000 shares)
Solution:
Basic EPS Calculation:
Numerator: $2,400,000 - $120,000 = $2,280,000
Denominator: 200,000 + (60,000 × 6/12) = 230,000 shares
Basic EPS = $2,280,000 ÷ 230,000 = $9.91
Diluted EPS Calculation:
Adjusted numerator: $2,280,000 + ($500,000 × 8% × 70%) = $2,308,000
Stock options: 10,000 - (10,000 × $40 ÷ $60) = 3,333 shares
Convertible bonds: 25,000 shares
Adjusted denominator: 230,000 + 3,333 + 25,000 = 258,333 shares
Diluted EPS = $2,308,000 ÷ 258,333 = $8.94
Case Study 2: Manufacturing Company
ManufCo Ltd. - Complex Scenario
Situation:
- Net loss: $(500,000)
- No preferred dividends
- Basic shares: 100,000
- Stock options outstanding: 5,000 (exercise $30, market $25)
- Convertible preferred: Would add 20,000 shares and $50,000 dividends
Solution:
Basic EPS = $(500,000) ÷ 100,000 = $(5.00) per share
Diluted EPS: Same as Basic EPS = $(5.00)
- Stock options are anti-dilutive (market < exercise price)
- Convertible preferred is anti-dilutive (would improve loss per share)
8. COMMON MISTAKES TO AVOID
❌ Mistake 1: Wrong Numerator
Wrong: Using net income instead of net income available to ordinary shareholders Right: Always deduct preferred dividends from net income
❌ Mistake 2: Ignoring Time Weighting
Wrong: Simple average of shares outstanding Right: Weight shares by time outstanding
❌ Mistake 3: Including Anti-dilutive Items
Wrong: Including all potential shares in diluted EPS Right: Only include items that decrease EPS (increase loss per share)
❌ Mistake 4: Incorrect Option Calculation
Wrong: Adding all option shares to denominator Right: Use treasury stock method (add net shares after buyback)
❌ Mistake 5: Forgetting Tax Effects
Wrong: Adding full interest on convertible bonds Right: Add after-tax interest savings
9. QUICK REFERENCE GUIDE
EPS Calculation Checklist
Basic EPS:
- [ ] Calculate net income available to ordinary shareholders
- [ ] Calculate weighted average shares outstanding
- [ ] Adjust for bonus issues/stock splits retrospectively
- [ ] Divide numerator by denominator
Diluted EPS:
- [ ] Start with basic EPS amounts
- [ ] Test each potential ordinary share for dilution
- [ ] Apply treasury stock method for options/warrants
- [ ] Apply if-converted method for convertible securities
- [ ] Only include dilutive items
- [ ] Calculate final diluted EPS
Key Formulas
| Calculation | Formula |
|---|---|
| Basic EPS | (Net Income - Preferred Dividends) ÷ Weighted Average Shares |
| Treasury Stock Method | Net Shares = Options Outstanding - (Exercise Price × Options ÷ Market Price) |
| Convertible Bond Impact | Interest Savings = Bond Value × Interest Rate × (1 - Tax Rate) |
| Weighted Average | Σ(Shares Outstanding × Months Outstanding) ÷ 12 |
When to Use Each Method
| Security Type | Method | Key Points |
|---|---|---|
| Stock Options | Treasury Stock | Only if market > exercise price |
| Warrants | Treasury Stock | Use average market price |
| Convertible Bonds | If-Converted | Add after-tax interest savings |
| Convertible Preferred | If-Converted | Add preferred dividends back |
| Contingent Shares | Special Rules | Include if conditions met |
CONCLUSION
Key Takeaways for Practice
- Accuracy Matters: EPS is heavily scrutinized - double-check calculations
- Documentation is Key: Keep detailed working papers for auditors
- Stay Updated: Monitor new equity instruments and their treatment
- Professional Judgment: Apply anti-dilution tests consistently
- Clear Communication: Explain complex EPS calculations to stakeholders
Next Steps in Your Career
- Financial Analysis: Use EPS trends for company valuation
- Investment Banking: Apply EPS in IPO and M&A analyses
- Corporate Finance: Help management understand EPS impact of financing decisions
- Audit: Ensure EPS calculations comply with IAS 33
Final Tips
✅ Practice regularly with different scenarios ✅ Understand the business behind the numbers ✅ Question unusual results - they often reveal calculation errors ✅ Keep current with amendments to IAS 33
This handbook provides a solid foundation for applying IAS 33 in practice. Remember: precision and professional skepticism are your best tools when calculating EPS.
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