📖 股利政策综合练习

Corporate Finance

I. Lesson Focus

This lesson integrates all major dividend policy concepts tested at CFA Level I: the residual dividend model, stable dividend policies (including the Lintner partial-adjustment model), dividend signaling, tax clientele effect, agency theory of dividends, homemade dividends under MM irrelevance, and the comparative advantages of share repurchases versus cash dividends. Emphasis is placed on numerical application, policy trade-offs, and common calculation traps.

II. The Problem

A mature manufacturing firm generates substantial free cash flow each year. Management must decide how much cash to return to shareholders, whether to return it via regular dividends or share repurchases, how to maintain dividend stability to send a positive signal, how shareholder tax brackets and preferences influence the choice, and whether agency problems will lead to excessive cash retention. CFA exams frequently combine residual dividend calculations, dividend smoothing, signaling implications, tax clienteles, agency costs, and the impact of repurchases on EPS and BVPS into integrated scenarios. Failure to master the logical foundations, formulas, and trade-offs results in conceptual confusion and calculation errors.

III. Review of Core Dividend Policy Theories

1. Dividend Irrelevance (Miller-Modigliani)

In a perfect capital market (no taxes, no transaction costs, no asymmetric information, no agency costs), dividend policy does not affect firm value. Shareholders can create “homemade dividends” by selling shares.

2. Residual Dividend Policy

The firm first funds all profitable investment opportunities at the target capital structure, then pays out any leftover earnings as dividends.
Formula:
Dividends = Net Income − (Target Equity Ratio × Total Capital Budget)

3. Stable Dividend Policy

Firms prefer to maintain a stable or gradually increasing dividend per share (DPS) rather than let dividends fluctuate with residual earnings. Common approaches include: - Target payout ratio plus adjustment (Lintner model) - Low regular dividend plus extras

4. Dividend Signaling Theory

Managers use dividend increases or maintenance to convey positive information about future cash flows. Unexpected dividend increases are typically accompanied by stock price rises; cuts usually trigger price declines.

5. Tax Clientele Effect

Investors in different tax brackets self-select into stocks with preferred dividend policies. High-tax-bracket investors prefer low dividends or repurchases; tax-exempt investors (e.g., pension funds) prefer high dividends.

6. Agency Theory of Dividends

Dividends reduce free cash flow available for managerial waste, thereby lowering agency costs. Firms with high free cash flow and few growth opportunities should pay higher dividends.

7. Share Repurchase versus Cash Dividends

Advantages of repurchases: flexibility, signaling, EPS and BVPS accretion, tax deferral.
Disadvantages: may be viewed as one-off, weaker long-term commitment signal than regular dividends.

IV. Key Calculation Formulas and Models

1. Residual dividend:
   Dividends = NI − (Target Equity % × Capital Budget)

2. Lintner partial-adjustment model:
   ΔDPS_t = Speed × (Target Payout × EPS_t − DPS_{t−1})

3. Post-repurchase EPS (all-equity financed):
   New EPS = NI / (Shares Outstanding − Shares Repurchased)

4. Post-repurchase BVPS:
   New BVPS = (Total Equity − Cash Used) / (Shares Outstanding − Shares Repurchased)

5. After-tax comparison:
   Dividend after-tax = DPS × (1 − t_div)
   Capital gain after-tax = Price appreciation × (1 − t_cg)

V. Factors Influencing Dividend Policy

• Legal restrictions (cannot impair stated capital)
• Debt covenant restrictions
• Firm life-cycle stage (mature firms have higher payout)
• Shareholder tax status and preferences
• Information signaling and reputation
• Cash flow stability and liquidity needs

Worked Cases

Case 1: Residual Dividend Policy

ABC Corp forecasts net income of CNY 12 million for 2024. Its target capital structure is 40% equity and 60% debt. The total capital budget for 2024 is CNY 25 million. The firm follows a residual dividend policy. Calculate the expected total dividend and the payout ratio.

Solution:
Equity portion of capital budget = 0.40 × 25m = CNY 10 million
Residual earnings available for dividends = 12m − 10m = CNY 2 million
Payout ratio = 2m / 12m ≈ 16.67%

Case 2: Lintner Model Dividend Adjustment

XYZ Corp has a target payout ratio of 45% and an adjustment speed of 0.6. In 2023, EPS was 8 and DPS was 2.8. In 2024, EPS is expected to rise to 10. Calculate the expected 2024 DPS.

Solution:
Target DPS = 0.45 × 10 = 4.5
Change in DPS = 0.6 × (4.5 − 2.8) = 0.6 × 1.7 = 1.02
Expected 2024 DPS = 2.8 + 1.02 = 3.82

Case 3: Share Repurchase versus Cash Dividend Effects

DEF Corp has net income of CNY 10 million, 1 million shares outstanding, share price of 20, cash balance of CNY 30 million, and pre-repurchase BVPS of 15 (total equity CNY 15 million). The firm plans to deploy CNY 10 million.
Scenario A: Pay a CNY 1 per share cash dividend (total CNY 1 million).
Scenario B: Repurchase 50,000 shares at 20 per share (using CNY 1 million).
Calculate EPS and BVPS under both scenarios (simplified; actual repurchase rarely uses all cash).

Solution:
Scenario A (Dividend):
EPS remains 10m / 1m = 10
New BVPS = (15m − 1m) / 1m = 14

Scenario B (Repurchase):
Shares repurchased = 1m / 20 = 50,000
New shares outstanding = 950,000
New EPS = 10m / 0.95m ≈ 10.53
New total equity = 15m − 1m = 14m (adjusted for illustration)
New BVPS = 14m / 0.95m ≈ 14.74 (Note: extreme cash usage is for illustration only; real-world BVPS impact depends on financing source.)

Traps

Key Formulas

• Residual Dividends = NI − (Equity Target % × Capital Budget)
• ΔDPS = Adjustment Factor × (Target DPS − Prior DPS)
• Post-repurchase EPS = NI / (Old Shares − Repurchased Shares)
• Homemade Dividend: Shareholders sell shares to replicate desired cash flow
• High FCF + Low growth opportunities → Increase payout (agency theory)
• Unexpected dividend increase → Positive signal → Stock price rises

Practice Questions

Q1. Under a residual dividend policy, a large increase in the capital budget will most likely cause the:
A. Payout ratio to rise
B. Payout ratio to fall
C. Absolute dividend to remain fixed
D. Target capital structure to change

Q2. In the Lintner model, a higher “speed of adjustment” implies the firm:
A. Has less stable dividends
B. Moves faster toward its target payout
C. Prefers repurchases over dividends
D. Has weaker signaling ability

Q3. Which observation best supports dividend signaling theory?
A. Stock price usually rises after an unexpected dividend increase
B. Tax clientele effects dominate dividend decisions
C. Dividends are irrelevant in perfect markets
D. Managers prefer dividend smoothing

Q4. A firm has net income of 8 million, a target equity ratio of 50%, and a capital budget of 12 million. Using the residual dividend policy, the dividend payout is:
A. 2 million
B. 4 million
C. 6 million
D. 8 million

Q5. Compared with cash dividends, share repurchases usually provide all of the following advantages except:
A. Tax deferral to shareholders
B. EPS accretion
C. A strong long-term commitment signal
D. Greater financial flexibility

Q6. High-tax-bracket individual investors are most likely to prefer:
A. High cash dividends
B. Steadily growing cash dividends
C. Share repurchases
D. Special dividends

Q7. According to agency theory, a firm with high free cash flow and limited growth opportunities should:
A. Reduce its dividend payout ratio
B. Increase its dividend payout ratio
C. Pay no dividends at all
D. Conduct large stock splits

Q8. A company has a target payout of 40%, adjustment speed of 0.5, last year’s DPS of 3, and this year’s EPS of 12. Using the Lintner model, this year’s expected DPS is closest to:
A. 3.60
B. 4.20
C. 4.80
D. 5.40

Answers

Takeaways

• Residual policy prioritizes capital budget and target capital structure; payout therefore fluctuates each year.
• Lintner model captures dividend smoothing; the adjustment factor determines speed of convergence to target payout.
• Dividend increases generally act as positive signals; cuts are negative signals.
• Tax clientele effect explains why investors self-select into stocks matching their tax situations.
• Agency theory argues that firms with excess cash and few investments should distribute more to shareholders.
• Share repurchases offer flexibility and tax advantages but typically send a weaker long-term commitment signal than regular dividends.