47  Dividend Theories and Determination

47.1 What is a Dividend?

A dividend is the portion of a company’s profit that is distributed to its shareholders, in cash or in kind, in proportion to their shareholding. The dividend decision is the third of the three core financial decisions: how much of profit should be paid out, and how much retained for reinvestment?

The dividend decision is intertwined with the financing decision (retention is internal financing) and the investment decision (retained funds finance future investments). The textbook trade-off: dividends in the hand vs investment for the future (khanjain2020?; pandey2021?).

TipThree Working Definitions
Author Definition What it foregrounds
ICAI “Dividend means the portion of the profits of the company which is distributed amongst its shareholders.” Distribution
Companies Act, 2013 “Dividend includes any interim dividend (Section 2(35)).” Statutory
Khan & Jain “The portion of net earnings that is distributed to shareholders, declared by the board in proportion to their shareholdings.” Earnings-based

47.1.1 Forms of dividends

TipCommon Forms of Dividend Payments
Form What it is
Cash dividend Most common — paid out of P&L appropriations
Stock / Bonus dividend Additional shares to existing shareholders, capitalising reserves
Stock split Splits one share into many — proportional
Property / Liquidating dividend Non-cash — used in special circumstances
Interim dividend Declared during the year, before AGM
Final dividend Declared at AGM after year-end
Special / one-time dividend Out of unusually high profits or asset sale
Share buyback Alternative to dividend — covered separately

47.2 Theories of Dividend — Two Camps

The dividend literature splits into two camps:

TipTwo Camps of Dividend Theory
Camp Core claim Champions
Relevance Dividend policy affects share price and firm value Walter; Gordon
Irrelevance Dividend policy is irrelevant to firm value under perfect markets Modigliani & Miller

flowchart LR
  R[Relevance Camp:<br/>Walter (1956)<br/>Gordon (1959)] --- D[Dividend Decision]
  IR[Irrelevance Camp:<br/>MM (1961)<br/>under perfect markets] --- D
  D --> P[Share Price /<br/>Firm Value]
  M[Real-world frictions:<br/>Taxes · Transaction costs ·<br/>Signalling · Clientele · Agency] -. tilts toward .- R
  style R fill:#FCE4EC,stroke:#AD1457
  style IR fill:#E3F2FD,stroke:#1565C0
  style D fill:#FFF8E1,stroke:#F9A825
  style P fill:#E8F5E9,stroke:#1B5E20

47.3 Walter’s Model — Relevance

J.E. Walter’s 1956 model claims that dividend policy matters whenever the firm’s return on retention (r) differs from the cost of equity (\(k_e\)) (walter1956?):

\[P_0 = \frac{D + \frac{r}{k_e}(E - D)}{k_e}\]

where \(D\) = dividend per share, \(E\) = EPS, \(r\) = return on retained earnings, \(k_e\) = cost of equity.

TipWalter’s Three Cases
Type Condition Optimal pay-out Logic
Growth r > k_e 0% Retain — firm earns more than shareholders’ alternative
Normal r = k_e Indifferent No advantage either way
Declining r < k_e 100% Distribute — shareholders can do better elsewhere

47.3.1 Limitations of Walter’s model

  • Assumes external financing is not used (only retained earnings).
  • Holds r constant — unrealistic.
  • Holds k_e constant — ignores risk of leverage.
  • Earnings = constant for all future years.

47.4 Gordon’s Model — Bird-in-Hand

Myron Gordon’s 1959 bird-in-hand model holds that investors prefer current dividends to uncertain future capital gains — they discount distant cash flows more heavily as risk rises with time (gordon1959?).

The Gordon valuation:

\[P_0 = \frac{E(1-b)}{k_e - br}\]

where \(b\) = retention ratio, \(r\) = return on retained earnings, \(E\) = EPS.

The model implies that, for growth firms (\(r > k_e\)), the share price falls as pay-out rises; for declining firms, the price rises as pay-out rises. The prescription matches Walter’s.

The “bird-in-hand” intuition: a known current dividend is worth more than an uncertain future capital gain because the riskier future cash flows are discounted at higher rates.

47.5 Modigliani-Miller Hypothesis — Irrelevance

Franco Modigliani and Merton Miller’s 1961 paper “Dividend Policy, Growth and the Valuation of Shares” is the keystone of the irrelevance camp (mm1961?).

Under perfect-market assumptions — no taxes, no transaction costs, perfect information, rational investors, fixed investment policy — MM showed:

\[\text{Value of the firm} = f(\text{Investment policy}) \neq f(\text{Dividend policy})\]

The intuition: what investors care about is total cash flow available to them. If the firm pays a higher dividend, it must raise equivalent external capital, diluting the value of existing shares by exactly the dividend paid. Each shareholder can manufacture any preferred dividend pattern by selling or buying shares — so dividend policy adds no value (mm1961?).

TipMM’s Dividend-Irrelevance Argument — Step by Step
Step Statement
1 Firm has a fixed investment policy
2 Higher dividends today → less retained earnings
3 Less retained earnings → external financing required
4 External financing dilutes existing equity
5 Net wealth of existing shareholder is unchanged

The MM proof rests on perfect-market assumptions — relax them and dividends become relevant.

47.6 Modern Considerations — Why Dividends Matter in Practice

TipReal-World Reasons Dividends Matter
Factor Why it matters
Taxes Differential tax on dividends vs capital gains affects investor preference
Transaction costs Selling shares to manufacture a “homemade dividend” is costly
Information / signalling Dividend changes signal management’s view of future cash flows (Lintner; Bhattacharya)
Clientele effect Investors with different tax rates self-select firms by pay-out policy
Agency theory Dividends reduce free cash flow and limit managerial discretion (Jensen)
Investor preference for income Pension funds, retirees prefer regular cash income

47.6.1 Lintner’s stylised facts

John Lintner’s 1956 study found that managers target a long-run pay-out ratio but adjust dividends partially — they smooth dividends and avoid cuts. The Lintner partial-adjustment model is the stylised dividend-smoothing equation:

\[\Delta D_t = a + c (D^* - D_{t-1}) + e_t\]

where \(D^*\) = target dividend, \(c\) = adjustment speed.

47.7 Factors Affecting Dividend Decisions

TipFactors that Influence the Dividend Decision
Family Factors
Earnings Stability, level, growth
Liquidity Cash availability vs paper profit
Investment opportunities Better internal investment alternatives
Cost of external financing Floatation cost, debt cost
Tax position of shareholders Pay-out vs capital gains preference
Stability and signalling Dividend smoothing, signalling effects
Legal restrictions Companies Act provisions
Contractual restrictions Loan covenants, preference dividends
Inflation Real value of fixed dividends
Industry / peer norms Pay-out policy benchmarks

47.8 Share Buyback

A buyback (share repurchase) is the firm using cash to repurchase its own shares. It is an alternative to a cash dividend with the same economic effect — it returns cash to shareholders.

TipBuyback vs Cash Dividend
Feature Cash Dividend Buyback
Cash to shareholders Yes — to all proportionally Yes — to selling shareholders
Effect on share count None Reduces shares outstanding
Effect on EPS None Increases EPS
Tax (India) DDT abolished 2020; dividend taxed at investor’s slab LTCG / STCG on buyback proceeds
Flexibility Once announced, hard to cut More flexible — can be deferred or skipped
Signalling Strong commitment Weaker; can be opportunistic

In India, buybacks are governed by the Companies Act, 2013 (sections 68–70) and SEBI’s Buy-Back of Securities Regulations, 2018 — limits on size (25 per cent of paid-up capital and free reserves), debt-equity ratio post-buyback (≤ 2:1), and frequency (one buyback per year).

47.9 India’s Dividend Tax Framework

Until 31 March 2020, India had a Dividend Distribution Tax (DDT) payable by the company on dividends declared. From 1 April 2020 (Finance Act, 2020), DDT was abolished — dividends are now taxable in the hands of the shareholder at applicable slab rates, with TDS at 10 per cent above a threshold. The change has tilted Indian corporate practice toward higher pay-outs and direct shareholder participation in tax management.

47.10 Practice Questions

Q 01 Walter Medium

According to Walter's model, the optimal dividend pay-out for a firm where r < k_e is:

  • A0% — retain everything
  • B100% — distribute everything
  • C50%
  • DIndifferent
View solution
Correct Option: B
When r < k_e (declining firm), shareholders can earn more elsewhere — the firm should distribute everything (100% pay-out).
Q 02 Bird in Hand Easy

The "bird-in-hand" theory of dividend relevance is associated with:

  • AModigliani & Miller
  • BMyron Gordon
  • CJohn Lintner
  • DEugene Fama
View solution
Correct Option: B
Myron Gordon's 1959 paper. Investors prefer certain current dividends to uncertain future capital gains.
Q 03 MM Irrelevance Medium

The Modigliani-Miller dividend-irrelevance hypothesis (1961) holds under:

  • AHigh taxes on dividends only
  • BPerfect-market assumptions — no taxes, no transaction costs, given investment policy
  • CHigh retail-investor preference for income
  • DBanking restrictions on capital markets
View solution
Correct Option: B
MM's irrelevance result rests on perfect-market assumptions: no taxes, no transaction costs, fixed investment policy.
Q 04 Lintner Medium

John Lintner's empirical study (1956) found that managers:

  • AAdjust dividends sharply to fully reflect every change in earnings
  • BTarget a long-run pay-out ratio and adjust dividends only partially each year (smoothing)
  • CChoose pay-out randomly
  • DAlways cut dividends when earnings rise
View solution
Correct Option: B
Lintner: managers smooth dividends — partial adjustment toward a target pay-out ratio. Dividend cuts are avoided whenever possible.
Q 05 Buyback Medium

Compared to a cash dividend of equivalent amount, a share buyback typically:

  • AReduces shares outstanding and increases EPS
  • BIncreases shares outstanding
  • CHas no effect on EPS
  • DIncreases the firm's debt
View solution
Correct Option: A
A buyback returns cash to selling shareholders and reduces shares outstanding — raising EPS for remaining shareholders.
Q 06 Stock Split Easy

A stock split:

  • AReturns cash to shareholders
  • BSplits one share into several shares with proportionally lower face value, leaving total equity unchanged
  • CIncreases the firm's net worth
  • DTriggers a tax liability for the company
View solution
Correct Option: B
A stock split is a cosmetic change — splits one share into several, with proportionally lower face value. Total equity and proportionate ownership are unchanged.
Q 07 DDT Medium

India's Dividend Distribution Tax (DDT) was abolished, with tax shifting to the recipient shareholder, by the:

  • AFinance Act, 1997
  • BFinance Act, 2010
  • CFinance Act, 2020
  • DFinance Act, 2024
View solution
Correct Option: C
The Finance Act, 2020 abolished DDT effective 1 April 2020. Dividends are now taxed in the hands of the shareholder at applicable slab rates with TDS at 10%.
Q 08 Buyback Limit Medium

Under the Companies Act, 2013, a buyback (under board-only approval) cannot exceed:

  • A10% of paid-up capital + free reserves
  • B25% of paid-up capital + free reserves (with shareholder approval)
  • C50% of net worth
  • D100% of profit
View solution
Correct Option: B
Under the Companies Act, 2013, buyback through special resolution can be up to 25 per cent of paid-up capital and free reserves in any financial year; only 10 per cent under board-only approval.
ImportantQuick recall
  • Dividend = portion of profit distributed to shareholders. Two camps: relevance (Walter, Gordon) and irrelevance (MM 1961).
  • Walter’s model: P₀ = (D + r/k_e (E−D)) / k_e. Growth firm (r > k_e) → 0% pay-out; declining (r < k_e) → 100%; normal (r = k_e) → indifferent.
  • Gordon’s bird-in-hand: investors prefer certain current dividends to uncertain future capital gains.
  • MM Irrelevance (1961): under perfect markets and given investment policy, dividend policy does not affect firm value — every shareholder can manufacture homemade dividends.
  • Real-world relevance: taxes, transaction costs, signalling, clientele effect, agency, investor preference.
  • Lintner’s stylised facts: managers target a long-run pay-out ratio and smooth dividends with partial adjustment.
  • Forms of dividends: cash · stock / bonus · stock split · property · interim · final · special · buyback.
  • Buyback in India: governed by Companies Act 2013 §§68–70 + SEBI Buy-Back Regulations 2018. Limit 25% of paid-up capital + free reserves with special resolution; 10% with board.
  • DDT abolished by Finance Act 2020 — dividends now taxed in the hands of the shareholder.