Dividend Policy & Stock Valuation: Models, Risks & Real-World Decisions

TAKEAWAYS:

• Dividends are cash payments to shareholders, but firms must balance payouts with reinvestment needs (e.g., Jagadamba Trading’s growth vs. shareholder returns).
• The Dividend Discount Model (DDM) values stocks as the present value of expected future dividends, with two key versions: zero-growth (constant dividends) and constant-growth (dividends growing at g).
• Preferred stocks are "hybrid" securities: fixed dividends like bonds but no maturity date like equity; common stocks offer growth potential but higher risk.
• Dividend yield = (Annual Dividend / Stock Price) × 100%, while capital gains depend on dividend growth and reinvestment decisions (e.g., Daraz’s shareholder returns).
• Residual theory argues firms should pay dividends only after funding all positive-NPV projects (critical for capital budgeting links).
• Taxes and agency costs (e.g., NEPSE’s tax implications) and clienteles (investors preferring high/low dividends) shape real-world dividend policies.

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1. Dividend Policy: Why and How Firms Pay Dividends

Dividends are cash distributions from a firm’s earnings to shareholders. They signal financial health (e.g., Ncell’s stable dividends) but also reduce retained earnings for reinvestment. Firms use dividend policy to balance shareholder demands and growth needs.

Key Decisions in Dividend Policy

Firms choose between:

• Regular dividends: Fixed payments (e.g., NTC’s quarterly dividends).
• Extra dividends: One-time payouts (e.g., banks after strong profits).
• Stock dividends: Issuing new shares instead of cash (dilutes ownership).
• Dividend reinvestment plans (DRIPs): Letting shareholders buy more shares with dividends (common in US stocks like Apple).

```mermaid
flowchart TD
    A["Start: Earnings Available"] --> B{"Sufficient for Growth?"}
    B -- Yes --> C["Retain Earnings: Reinvest in business"]
    B -- No --> D["Pay Dividends"]
    D --> E{"Regular vs. Extra?"}
    E -- Regular --> F["Fixed Payout: Quarterly/Annual"]
    E -- Extra --> G["One-Time Bonus: Special payouts"]
    F -->|"Example"| H["Bank dividends after strong profits"]
    G -->|"Example"| I["Tech firms after IPOs"]
    C -->|"Example"| J["Startups reinvesting profits"]

Decision flowchart for dividend policy with real-world examples

Theories Behind Dividend Policy

Why Preferred Stock is a "Hybrid" Security Preferred stocks combine features of bonds (fixed dividends) and common stocks (no maturity date). They rank above common stock but below bonds in liquidation claims.

```mermaid
classDiagram
    class Bond {
        +Fixed Interest
        +Maturity Date
    }
    class PreferredStock {
        +Fixed Dividend
        +No Maturity
    }
    class CommonStock {
        +Variable Dividend
        +Residual Claim
    }
    Bond -->|Senior| PreferredStock : "Liquidation Priority"
    PreferredStock -->|Junior| CommonStock : "Liquidation Priority"

---

2. Stock Valuation: Dividend Discount Models (DDM)

Stocks are valued based on future cash flows to shareholders, primarily dividends. The Dividend Discount Model (DDM) calculates intrinsic value by discounting expected dividends at the required rate of return (r).

Zero-Growth Model (Gordon Growth Model for g=0)

For stocks with constant dividends (e.g., preferred stocks): $$P_0=\frac{D_1}{r}$$ Where:

• $P_0$ = Current stock price
• $D_1$ = Next year’s dividend
• $r$ = Required rate of return

Worked Example: Preferred Stock Valuation A preferred stock pays Rs 15 annually, and investors require a 12% return. What’s its value?

D1 = 15
r = 0.12
P0 = D1 / r = 15 / 0.12 = Rs 125

Answer: The stock’s value is Rs 125.

Constant-Growth Model (Gordon Growth Model)

For stocks with dividends growing at a constant rate (g): $$P_0=\frac{D_1}{r-g}$$ Conditions:

1. $r>g$ (otherwise, the model fails).
2. Dividends grow indefinitely at rate g.

Worked Example: Common Stock Valuation Sagarmatha Company’s stock price = Rs 360, last dividend ($D_0$) = Rs 24, growth rate ($g$) = 5%, required return ($r$) = 12%. Verify the price.

D1 = D0 * (1 + g) = 24 * 1.05 = Rs 25.20
P0 = D1 / (r - g) = 25.20 / (0.12 - 0.05) = 25.20 / 0.07 = Rs 360

Answer: The model confirms the stock price of Rs 360.

```mermaid
mindmap
  root((DDM Assumptions))
    Dividends
      Constant Growth (g)
      No Growth (g=0)
    Required Return (r)
      > g (for convergence)
    Infinite Horizon
      No Terminal Value Needed

Multi-Stage Growth Model

For firms with non-constant growth (e.g., startups or high-growth companies like Daraz):

1. Supernormal growth (e.g., 20% for 5 years).
2. Stable growth (e.g., 5% thereafter).

Formula: $$ P_0 = \sum_{t=1}^{n} \frac{D_t}{(1 + r)^t} + \frac{P_n}{(1 + r)^n} $$ Where ( P_n ) = Value at the end of supernormal growth (using constant-growth model).

Example: Paiyukhola Fabric

• Current price = Rs 210, last dividend (( D_0 )) = Rs 20, growth rate = 5%.
• Verify the price:

D1 = 20 * 1.05 = Rs 21
P0 = D1 / (r - g) = 21 / (0.12 - 0.05) = Rs 262.50

Issue: The model overestimates the price (actual = Rs 210). Why?

• Assumption violation: Dividends may not grow indefinitely at 5%.
• Risk premium: The required return r may be higher than 12%.

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3. Dividend Yield and Capital Gains

Investors earn returns from:

1. Dividend yield: Income from dividends. $$ \text{Dividend Yield} = \left( \frac{D_1}{P_0} \right) \times 100% $$
2. Capital gains: Price appreciation. $$ \text{Capital Gain} = \frac{P_1 - P_0}{P_0} \times 100% $$

Worked Example: Dividend Yield Calculation Shalimar Paints’ stock price = Rs 100, last dividend = Rs 5. Calculate dividend yield.

Dividend Yield = (5 / 100) * 100% = 5%

Comparison: Bonds vs. Common Stocks

Why Common Stocks Are Riskier Than Bonds

• No fixed income: Dividends can be cut or omitted (e.g., during economic downturns).
• No collateral: Bonds have assets backing them; stocks are residual claims.
• Market volatility: Stock prices fluctuate more (e.g., NEPSE index swings).

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4. Real-World Applications

## In the real world

1. NEPSE and Dividend Policy

   • How: NEPSE-listed companies (e.g., Ncell, NTC) declare dividends based on earnings and growth plans.
   • Example: Ncell’s Rs 5 dividend per share in 2022 signaled stable cash flows, attracting income-focused investors.

2. Daraz’s Dividend Reinvestment

   • How: Daraz reinvests profits to expand logistics (e.g., warehouses in Kathmandu, Pokhara). However, it may declare special dividends (e.g., Rs 2/share) to reward shareholders during high-profit years.
   • DDM Link: If Daraz’s dividends grow at 8% and the required return is 12%, its stock price can be valued using the constant-growth model.

3. Pathao’s Stock Dividends

   • How: Pathao (if listed) might issue stock dividends to conserve cash for fleet expansion instead of paying cash dividends.
   • Tax Impact: Stock dividends are taxed differently than cash (lower capital gains tax in Nepal).

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5. Exam-Ready Numerical Problems

Problem 1: Preferred Stock Valuation

A preferred stock pays Rs 12 annually with a required return of 10%. What’s its value? Solution:

P0 = D1 / r = 12 / 0.10 = Rs 120

Answer: Rs 120.

Problem 2: Common Stock Valuation

A stock has a last dividend of Rs 10, grows at 6%, and trades at Rs 150. What’s the required return? Solution: Rearrange the constant-growth model: $$r=\frac{D_1}{P_0}+g=\frac{10\times 1.06}{150}+0.06=0.0707+0.06=13.07\%$$ Answer: 13.07%.

Problem 3: Multi-Stage Growth

A company expects dividends of Rs 5, Rs 6, Rs 7 for the next 3 years, then grows at 5% forever. Required return = 12%. What’s the stock price? Solution:

1. Calculate present value of first 3 dividends: $$PV=\frac{5}{1.12}+\frac{6}{1.12^2}+\frac{7}{1.12^3}=4.46+4.84+5.08=14.38$$
2. Value at Year 3 ($P_3$): $$\begin{gathered} D_4=7\times 1.05=7.35 \\ {P}_3=\frac{7.35}{0.12-0.05}=110.71 \end{gathered}$$
3. Discount $P_3$ back: $$PV=\frac{110.71}{1.12^3}=80.12$$
4. Total Stock Price: $$P_0=14.38+80.12=\text{Rs }94.50$$

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6. Common Exam Questions & Answers

Q1: "Common stocks are generally riskier than bonds." Discuss.

Answer:

• Risk Factors:
  • Dividend uncertainty: Bonds have fixed payments; stocks have variable dividends.
  • Market risk: Stock prices are volatile (e.g., NEPSE index drops during crises).
  • Liquidity risk: Bonds are less liquid than stocks (e.g., Ncell bonds vs. Ncell shares).
• Mitigation: Diversification and higher expected returns compensate for risk.

Q2: How is dividend yield computed? Illustrate.

Answer: Dividend yield measures income return: $$\text{Dividend Yield}=\left(\frac{D_1}{P_0}\right)\times 100\%$$ Example: If a stock pays Rs 8 and trades at Rs 80: $$\text{Yield}=\left(\frac{8}{80}\right)\times 100\%=10\%$$

Q3: What assumptions does the normal growth model make?

Answer:

1. Dividends grow at a constant rate (g) forever.
2. The required return ($r$) exceeds growth rate ($r>g$).
3. No taxes or flotation costs.

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## Exam Tip

1. Memorize DDM Formulas:

   • Zero-growth: $P_0=\frac{D_1}{r}$
   • Constant-growth: $P_0=\frac{D_1}{r-g}$
   • Multi-stage: Sum of discounted dividends + terminal value.

2. Watch for Assumption Violations:

   • If $r\le g$, the model diverges (stock price → ∞). Flag this in exams.
   • Real-world stocks often have non-constant growth (use multi-stage).

3. Compare Bonds vs. Stocks:

   • Bonds: Fixed income, lower risk, senior claim.
   • Stocks: Variable income, higher risk, residual claim.

4. Practice Numerical Problems:

   • Always show step-by-step calculations (e.g., discounting dividends, calculating terminal value).
   • Use Nepali business examples (e.g., Ncell, Daraz) to contextualize answers.

5. Dividend Policy Theories:

   • Know signaling, residual, and tax preference theories and apply them to real firms (e.g., NEPSE-listed companies).

6. Tax Implications:

   • Dividends are taxed at lower rates than interest (advantage for stocks).
   • Stock dividends may have capital gains tax implications.

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Final Note: Dividend policy and stock valuation are interconnected. A firm’s choice to pay dividends (or not) affects its stock price, and investors use DDM to decide whether a stock is overvalued/undervalued. Always link theory to real-world examples (e.g., NEPSE, Daraz) to score full marks.