Principles of Financial Accounting: Stockholders Equity Earnings per Share EPS Basic and Diluted

What It Is

Earnings per Share (EPS) is a fundamental metric that measures a company's profitability from the perspective of its shareholders. It represents the amount of earnings allocated to each outstanding share of common stock. EPS is crucial in financial accounting as it helps investors and analysts evaluate a company's performance and make informed investment decisions. For example, if a company has net income of $100,000 and 10,000 outstanding shares, its basic EPS would be $10 per share ($100,000 ÷ 10,000 shares).

Key Concepts & Formulas

• Basic EPS Formula: EPS = Net Income ÷ Outstanding Shares
  Definition: Basic EPS is calculated by dividing net income by the number of outstanding shares.
  Example: If a company has net income of $100,000 and 10,000 outstanding shares, its basic EPS would be $10 per share ($100,000 ÷ 10,000 shares).
• Diluted EPS Formula: Diluted EPS = Net Income ÷ (Outstanding Shares + Potential Dilutive Shares)
  Definition: Diluted EPS takes into account potential dilutive shares, such as stock options or warrants, that could increase the number of outstanding shares.
  Example: If a company has net income of $100,000, 10,000 outstanding shares, and 2,000 potential dilutive shares, its diluted EPS would be $8.33 per share ($100,000 ÷ 12,000 shares).
• Weighted Average Shares (WAS) Formula: WAS = (Beginning Shares + Ending Shares) ÷ 2
  Definition: WAS is used to calculate EPS when the number of outstanding shares changes during the period.
  Example: If a company has 10,000 beginning shares and 12,000 ending shares, its WAS would be 11,000 shares ((10,000 + 12,000) ÷ 2).
• Potential Dilutive Shares Formula: Potential Dilutive Shares = (Number of Options × Exercise Price) ÷ Stock Price
  Definition: Potential dilutive shares are calculated by multiplying the number of options by the exercise price and dividing by the stock price.
  Example: If a company has 1,000 options with an exercise price of $20 and a stock price of $50, its potential dilutive shares would be 400 shares ((1,000 × $20) ÷ $50).
• Treasury Stock Formula: Treasury Stock = (Number of Shares × Cost per Share)
  Definition: Treasury stock is calculated by multiplying the number of shares by the cost per share.
  Example: If a company purchases 1,000 shares of treasury stock at $50 per share, its treasury stock would be $50,000 (1,000 × $50).
• Retained Earnings Formula: Retained Earnings = Net Income + (Beginning Retained Earnings + Dividends)
  Definition: Retained earnings is calculated by adding net income, beginning retained earnings, and dividends.
  Example: If a company has net income of $100,000, beginning retained earnings of $200,000, and dividends of $50,000, its retained earnings would be $250,000 ($100,000 + $200,000 + $50,000).

Journal Entry Examples

1. Purchase of Treasury Stock:
   Dr. Treasury Stock $10,000 Cr. Cash $10,000 Explanation: The company purchases 200 shares of treasury stock at $50 per share, resulting in a debit to treasury stock and a credit to cash.
2. Issuance of Stock Options:
   Dr. Stock Options $10,000 Cr. Additional Paid-in Capital $10,000 Explanation: The company issues 200 stock options with an exercise price of $50 per share, resulting in a debit to stock options and a credit to additional paid-in capital.
3. Exercise of Stock Options:
   Dr. Cash $10,000 Cr. Stock Options $10,000 Explanation: The company exercises 200 stock options at $50 per share, resulting in a debit to cash and a credit to stock options.

Common Mistakes

1. Mistake: Confusing basic EPS with diluted EPS.
   Correction: Basic EPS is calculated using only outstanding shares, while diluted EPS takes into account potential dilutive shares.
2. Mistake: Not considering treasury stock when calculating EPS.
   Correction: Treasury stock should be subtracted from outstanding shares when calculating EPS.
3. Mistake: Not adjusting for potential dilutive shares when calculating diluted EPS.
   Correction: Potential dilutive shares should be added to outstanding shares when calculating diluted EPS.

Exam Tips

1. Tip: Remember that EPS is calculated using net income, not gross income.
2. Tip: Be careful when dealing with treasury stock, as it can affect EPS calculations.
3. Tip: Make sure to consider potential dilutive shares when calculating diluted EPS.

Quick Practice

1. Problem: A company has net income of $150,000 and 15,000 outstanding shares. What is its basic EPS? Answer: $10 per share ($150,000 ÷ 15,000 shares) Explanation: Basic EPS is calculated by dividing net income by outstanding shares.
2. Problem: A company has net income of $200,000, 20,000 outstanding shares, and 2,000 potential dilutive shares. What is its diluted EPS? Answer: $8.33 per share ($200,000 ÷ 24,000 shares) Explanation: Diluted EPS takes into account potential dilutive shares.
3. Problem: A company purchases 500 shares of treasury stock at $100 per share. What is the adjusting entry? Answer: Dr. Treasury Stock $50,000, Cr. Cash $50,000 Explanation: The company purchases treasury stock, resulting in a debit to treasury stock and a credit to cash.

Last-Minute Cram Sheet

1. Basic EPS Formula: EPS = Net Income ÷ Outstanding Shares
2. Diluted EPS Formula: Diluted EPS = Net Income ÷ (Outstanding Shares + Potential Dilutive Shares)
3. Weighted Average Shares (WAS) Formula: WAS = (Beginning Shares + Ending Shares) ÷ 2
4. Potential Dilutive Shares Formula: Potential Dilutive Shares = (Number of Options × Exercise Price) ÷ Stock Price
5. Treasury Stock Formula: Treasury Stock = (Number of Shares × Cost per Share)
6. Retained Earnings Formula: Retained Earnings = Net Income + (Beginning Retained Earnings + Dividends)
7. ⚠️ Dividends are NOT an expense – they go directly to retained earnings.
8. ⚠️ Treasury stock is subtracted from outstanding shares when calculating EPS.
9. ⚠️ Potential dilutive shares are added to outstanding shares when calculating diluted EPS.
10. ⚠️ Basic EPS is calculated using only outstanding shares, while diluted EPS takes into account potential dilutive shares.