📖 权益：股票分割与股利

Financial Statement Analysis

I. Lesson Focus

This lesson examines the accounting treatment and economic effects of stock splits, stock dividends, and cash dividends. Candidates must be able to distinguish among these actions, prepare the related journal entries or memorandum entries, and determine the impact on shares outstanding, EPS, book value per share (BVPS), return on equity (ROE), and other key ratios. The material is frequently tested in item-set format combined with financial statement adjustments or ratio analysis.

II. The Problem

A listed company simultaneously announces a 1-for-2 stock split, a 10% stock dividend, and a $0.50 per share cash dividend. After the share price drops from $60 to approximately $29, investors wonder whether the company has become poorer, whether EPS and the P/E ratio must be recalculated, and whether total shareholders’ equity has declined. This lesson systematically resolves these practical questions by demonstrating the precise effects of each corporate action on the financial statements, per-share metrics, and valuation multiples.

III. Accounting for Stock Splits and Economic Substance

A stock split increases the number of shares outstanding while proportionally reducing the par (or stated) value per share. Total shareholders’ equity remains unchanged; only an internal reclassification between common stock and additional paid-in capital occurs, if par value is adjusted.

• Accounting: Usually only a memorandum entry is required. No formal journal entry affects the accounts.
• Economic substance: The split does not change shareholders’ proportionate ownership, the firm’s cash flows, or earning power. It merely lowers the share price to improve liquidity and marketability.
• Common ratios: 2-for-1, 3-for-1, 5-for-4, or reverse splits (e.g., 1-for-5).

Impact on key metrics: - Shares outstanding multiplied by split factor. - Par value per share divided by split factor. - EPS, DPS, and BVPS all decrease proportionally. - Total equity, ROE, and adjusted P/E remain unchanged.

IV. Accounting for Stock Dividends

A stock dividend is a distribution of additional shares to shareholders instead of cash. It capitalizes retained earnings into permanent capital.

Accounting rules (US GAAP and IFRS aligned): - Small stock dividend (<20–25%): Transferred from retained earnings at market price. - Debit: Retained earnings (market price × new shares) - Credit: Common stock (par × new shares) - Credit: Additional paid-in capital (plug) - Large stock dividend (≥25%): Transferred from retained earnings at par value only. No additional paid-in capital is recorded.

Economic substance: Total shareholders’ equity is unchanged and cash is not disbursed, but retained earnings decline while contributed capital increases.

Impact on metrics: - Shares outstanding increase. - EPS, DPS, and BVPS decrease. - Total equity unchanged. - Market price theoretically declines proportionally, although signaling effects may cause incomplete adjustment.

V. Accounting for Cash Dividends

Cash dividends are the most direct return of capital to shareholders.

Journal entries: 1. Declaration date: - Debit: Retained earnings - Credit: Dividends payable 2. Ex-dividend date: Share price theoretically drops by approximately the dividend amount (taxes ignored). 3. Payment date: - Debit: Dividends payable - Credit: Cash

Impact on metrics: - Total shareholders’ equity decreases (retained earnings decline). - Assets (cash) decrease. - Current EPS is unchanged because both numerator and denominator are unaffected at the time of calculation; future EPS may be lower due to reduced assets. - ROE typically rises (smaller equity base, assuming net income unchanged in the short term).

VI. Comparison with Share Repurchases

Although the primary focus is dividends and splits, CFA Level I frequently contrasts cash dividends with share repurchases: - Repurchase reduces shares outstanding, increases EPS, and reduces equity (treasury stock or retirement). - Cash dividend leaves shares unchanged but directly reduces equity. Differences in signaling, tax treatment, and flexibility are important; candidates must master the distinct effects on per-share amounts.

Worked Cases

Case 1: Effect of a Stock Split

ABC Corp. has 100,000 shares outstanding, $1 par value, market price $60, retained earnings $8 million, and net income $1.2 million. It announces a 2-for-1 split.

Pre-split: - Common stock = $100,000 - EPS = $1,200,000 / 100,000 = $12 - BVPS = $8,100,000 / 100,000 = $81

Post-split: - Shares outstanding = 200,000 - Par value = $0.50 - Common stock remains $100,000 - EPS = $1,200,000 / 200,000 = $6 - BVPS = $8,100,000 / 200,000 = $40.50 - Total equity unchanged at $8.1 million.

Case 2: 10% Small Stock Dividend

Continuing from Case 1 after the split, the firm declares a 10% stock dividend when the share price is $28.

New shares = 200,000 × 10% = 20,000
Amount transferred from retained earnings = 20,000 × $28 = $560,000

Journal entry: Debit: Retained earnings $560,000
Credit: Common stock (20,000 × $0.50) $10,000
Credit: Additional paid-in capital $550,000

Post-dividend: - Shares outstanding = 220,000 - Retained earnings = $8,000,000 – $560,000 = $7,440,000 - EPS = $1,200,000 / 220,000 ≈ $5.45 - Total equity still $8.1 million.

Case 3: Combined Cash Dividend and Reverse Split

A company has 500,000 shares, net income $3 million, cash $5 million, and retained earnings $12 million. It declares a $0.80 cash dividend per share and simultaneously executes a 1-for-5 reverse split.

Cash dividend total = 500,000 × $0.80 = $400,000
Post-declaration equity = previous equity – $400,000.

After reverse split: - Shares outstanding = 500,000 / 5 = 100,000 - EPS = $3,000,000 / 100,000 = $30 (previously $6) - Adjusted cash dividend per post-split share = $0.80 × 5 = $4.

The case illustrates that cash dividends reduce total equity while a reverse split merely changes the number of shares and per-share amounts.

Traps

Key Formulas

• Post-split shares = Original shares × Split factor
• Post-split EPS = Original EPS ÷ Split factor
• Small stock dividend capitalization = New shares × Market price on declaration date
• On cash dividend declaration: Retained earnings ↓, Dividends payable ↑
• Total equity: unchanged for splits and stock dividends; decreases for cash dividends
• Theoretical ex-div price = Cum-div price – Cash dividend per share
• Adjusted P/E = Adjusted price / Adjusted EPS (post-split or post-dividend)

Practice Questions

Q1. After a 2-for-1 stock split, a company’s book value per share (BVPS) will:
A. Be halved
B. Remain unchanged
C. Double
D. Be indeterminable

Q2. When issuing a 25% large stock dividend, the amount transferred from retained earnings should be based on:
A. Par value
B. Market value
C. Book value
D. An average of par and market

Q3. On the declaration date of a cash dividend, the financial-statement effect is:
A. Simultaneous reduction in assets and equity
B. Only an increase in liabilities
C. Reduction in retained earnings and increase in dividends payable
D. Only a reduction in cash

Q4. A company reports EPS of $4.50. After a 1-for-3 reverse stock split, the new theoretical EPS is closest to:
A. $1.50
B. $4.50
C. $13.50
D. Cannot be calculated

Q5. Which statement about stock dividends is correct?
A. They reduce the firm’s cash outflow
B. They increase total shareholders’ equity
C. They decrease shares outstanding
D. They merely rearrange the equity accounts

Q6. The primary difference between a small (10%) stock dividend and a cash dividend is that the stock dividend:
A. Reduces total equity
B. Has no effect on per-share metrics
C. Does not reduce the company’s cash, whereas the cash dividend does
D. Has the same effect on ROE as a cash dividend

Q7. After a company announces a stock split, it normally:
A. Increases additional paid-in capital
B. Reduces retained earnings
C. Records only a memorandum entry
D. Increases common stock at market value

Q8. Immediately after paying a cash dividend, assuming other factors constant, a company’s ROE will most likely:
A. Decrease
B. Increase
C. Remain unchanged
D. Depend on the payout ratio

Answers

Takeaways

• Stock splits leave total equity unchanged and require only a memorandum entry.
• Small stock dividends are capitalized at market price; large ones at par.
• Cash dividends reduce retained earnings on declaration and cash on payment.
• EPS falls after splits and stock dividends but is unchanged by cash dividends at the time of payment.
• Total equity declines only with cash dividends or share repurchases.
• The theoretical ex-dividend price drop equals the cash dividend per share (pre-tax).