💵
Unit 13 of 17  ·  Study Guide

Distributions
to Shareholders

Dividend Key Dates · Payout & Retention Ratios · Dividend Yield · Stock Dividends & Splits · Share Repurchases · DRIP Investing · Dividend Irrelevance Theory · Community Wealth Funds

Brigham & Houston, Ch. 14 ⏰ 2-Week Unit 📚 14 Key Terms 🔢 4 Core Formulas ✎ 11 Practice Questions 6 Parts
Unit 13 examines how corporations return value to shareholders — through cash dividends, stock dividends, stock splits, and share repurchases. These are not just accounting mechanics; they are strategic signals about a company's financial health, growth prospects, and management priorities. For BBYM community investors building wealth through dividend stocks, these concepts determine when you must own a stock to receive income, how much of earnings is returned vs. reinvested, and how DRIP investing compounds wealth over decades. The assessment focuses on one critical date that every dividend investor must know cold.

Part 1 — Core Topics Explained

Every major concept tested on the Unit 13 assessment

📋 Learning Objectives

  • Identify and explain the four dividend key dates (declaration, ex-dividend, record, payment)
  • Calculate dividend yield, payout ratio, and retention ratio
  • Explain what happens to stock price on the ex-dividend date
  • Distinguish stock dividends from stock splits and explain their effects
  • Compare cash dividends vs. share repurchases as distribution methods
  • Calculate DRIP (Dividend Reinvestment Plan) returns and compound growth
  • State the M&M dividend irrelevance theorem and its real-world limitations
  • Apply dividend investing concepts to BBYM community wealth fund design

1. The Four Dividend Key Dates — Assessment Q13 Focus

The dividend payment process follows four specific dates in sequence. Understanding these dates — especially the ex-dividend date — is essential for any investor seeking income from dividend stocks.

1
Declaration Date
Board of directors officially announces the dividend amount and the key dates
Example: "Board declares $0.50 quarterly dividend"
2
★ Ex-Dividend Date
MUST own stock before this date to receive dividend. Stock price typically drops by ~dividend amount on this date.
⚠ ASSESSMENT Q13 ANSWER
3
Record Date
Company checks its records to identify all shareholders of record eligible to receive the dividend
Usually 1–2 days after ex-dividend date
4
Payment Date
Dividend is actually deposited into shareholders' brokerage accounts
Usually 2–4 weeks after record date
Assessment Q13 — The Ex-Dividend Date Rule:

To receive a company's quarterly dividend, an investor must purchase the stock BEFORE the ex-dividend date. Buying on or after the ex-dividend date means the buyer does not receive the upcoming dividend — that payment goes to the previous owner.

Practical example: Microsoft declares a $0.75 dividend. Ex-dividend date = Tuesday, March 4.
• Buy on Monday, March 3 → You receive the $0.75 dividend ✓
• Buy on Tuesday, March 4 (ex-date) → You do NOT receive the dividend ✗
• Buy on Wednesday, March 5 → You do NOT receive the dividend ✗

Common exam trap: The record date or payment date seem like the right answer. But the ex-dividend date is the operational cutoff — the date that determines eligibility based on when trades settle.

2. Key Dividend Formulas

Dividend Yield
Dividend Yield = Annual DPS ÷ Current Stock Price
DPS = dividends per share (annual, or quarterly × 4)
Example: $3.00 annual dividend, stock price $60 → Yield = $3.00/$60 = 5.0%
Payout Ratio
Payout Ratio = Dividends per Share ÷ Earnings per Share (EPS)
Measures the fraction of earnings paid as dividends (vs. retained for reinvestment)
Example: DPS = $2.00, EPS = $4.00 → Payout Ratio = $2.00/$4.00 = 50%
Retention (Plowback) Ratio
Retention Ratio = 1 − Payout Ratio
The fraction of earnings reinvested in the business (retained earnings)
Example: 50% payout ratio → Retention ratio = 1 − 0.50 = 50%
Sustainable Growth Rate (connects to Unit 9)
g = ROE × Retention Ratio
The growth rate a firm can sustain using only retained earnings (no new equity issuance)
Example: ROE = 15%, Retention = 60% → g = 15% × 0.60 = 9% sustainable growth
Payout Ratio in Practice — What the Numbers Signal:

Payout RatioCompany TypeSignal
0–20%High-growth (Amazon, early Berkshire)Reinvesting almost everything; betting on growth outpacing dividends
30–50%Mature growth (Microsoft, Apple)Balanced approach; rewarding shareholders while funding growth
50–75%Income stocks (utilities, REITs)Prioritizing income distribution; stable cash flows support high payouts
80–100%+Stressed or unsustainablePaying out most/all earnings; potentially cutting dividend if earnings dip

3. What Happens to Stock Price on the Ex-Dividend Date?

On the ex-dividend date, a stock's price typically falls by approximately the dividend amount. This is not a loss — it is a mechanical adjustment.

Ex-Dividend Price Adjustment — Why It Happens:

Think of stock value as: Current assets + Future earnings potential.
On the ex-dividend date, the company's upcoming cash payment (the dividend) is no longer included in the stock's value — it now belongs to yesterday's shareholders. The stock drops because the right to that cash has separated from the share.

Example: Stock trading at $50. Declares $1.00 dividend. Ex-dividend date: Monday.
Friday (before ex-date): Stock at $50.00 → Buying this share includes the $1 dividend right
Monday (ex-date): Stock opens at ~$49.00 → The $1 dividend right has been removed

Key insight: A BBYM investor who bought at $50 on Friday receives the $1 dividend AND still holds shares worth ~$49. Their total value: $49 + $1 = $50 — unchanged. There is no free money from buying before the ex-dividend date — the price adjusts to exactly offset the dividend. The only advantage of buying before the ex-date is receiving cash income sooner.

Part 2 — Distribution Types: Cash, Stock Dividends, Splits & Buybacks

All four ways companies return value to shareholders — mechanics, effects, and signals

Cash Dividends — Direct Income Distribution

The most straightforward distribution: the company pays cash to shareholders, typically quarterly. Cash dividends reduce the company's retained earnings and cash balance, and reduce stock price by approximately the dividend amount on the ex-dividend date.

Cash Dividend — Balance Sheet Effects:

Before dividend declaration — Balance sheet (relevant accounts):
Cash: $5,000,000  |  Retained Earnings: $20,000,000

Board declares $1.00/share dividend, 1,000,000 shares outstanding = $1,000,000 total:

After payment — Balance sheet:
Cash: $4,000,000 (−$1M)  |  Retained Earnings: $19,000,000 (−$1M)

The company is smaller by $1,000,000 after paying the dividend. Stock price falls accordingly. Shareholders received $1M in cash; the company retained $1M less for reinvestment.

Stock Dividends & Stock Splits — More Shares, Not More Value

Stock Dividend (e.g., 10%)

Shares outstanding+10% more shares
Stock priceAdjusts down ~10%
Total market capUnchanged
Retained earningsTransfers to paid-in capital
Cash received?No — more shares only
Example triggerCompany with excess shares but wants to signal health

Stock Split (e.g., 2-for-1)

Shares outstanding2× more shares
Stock priceCut in half (~$100 → $50)
Total market capUnchanged
Retained earningsNo change
Cash received?No — lower price per share
Example triggerStock price too high to be accessible (Apple, Tesla splits)
The Key Insight: Stock Dividends and Splits Create No Economic Value

Both stock dividends and stock splits are like cutting a pizza into more slices — you have more pieces but the same total pizza. Total market capitalization is unchanged. Every existing shareholder owns the same percentage of the company as before.

Why do companies do it then?
Stock splits: lower the per-share price to improve accessibility for retail investors (psychological — a $50 stock feels more affordable than a $500 stock, even though value is identical).
Stock dividends: alternative to cash dividends when the company wants to signal profitability without depleting cash — gives shareholders more shares instead of cash income.

Critical contrast with cash dividends: Cash dividends DO distribute real economic value — the company's assets shrink by the dividend paid. Stock dividends and splits merely rearrange the same total value into more pieces.

Share Repurchases (Buybacks) — The Alternative to Dividends

Instead of paying a cash dividend, companies can use excess cash to buy back their own shares on the open market. This reduces shares outstanding, which mechanically increases earnings per share (EPS) and often boosts stock price.

FactorCash DividendShare Repurchase (Buyback)
Cash distributionDirect — investors receive cash immediatelyIndirect — value returned through higher share price (not cash in hand)
Tax treatment (investor)Taxed as ordinary income or qualified dividend (lower rate)Taxed as capital gain only when shares sold (deferred tax advantage)
FlexibilityCutting dividends sends a negative signal; sticky downwardMore flexible — can stop anytime with less stigma
Effect on EPSNeutral (no change in shares or net income)Increases EPS (same net income, fewer shares = higher EPS)
Effect on stock pricePrice falls ~dividend amount on ex-dateOften boosts price (signal of management confidence + reduced supply)
Who benefits mostIncome investors who need current cash flowGrowth/wealth-building investors who prefer capital appreciation
BBYM wealth fund preferenceRetirees and income-seeking community membersLong-term wealth accumulators (Swanson Initiative endowment)
Buyback EPS Effect — Numerical Example:

Before buyback: Net income = $10,000,000  |  Shares = 5,000,000  |  EPS = $2.00
Company repurchases 500,000 shares (10% of float):
After buyback: Net income = $10,000,000  |  Shares = 4,500,000  |  EPS = $10M/4.5M = $2.22

EPS increased 11% with no change in actual earnings — purely from reducing the denominator. If the stock traded at a 20× P/E multiple: Price before = $2.00 × 20 = $40; Price after = $2.22 × 20 = $44.44. The buyback creates apparent value appreciation of $4.44/share.

DRIP Investing — Dividend Reinvestment Plans

A DRIP automatically reinvests dividend payments into additional shares of the same stock instead of distributing cash. Over time, this compounds both the share count and the dividend income, creating powerful long-term wealth accumulation.

DRIP Growth Projection — BBYM Community Wealth Fund ($10,000 Initial):

Stock: Utility company paying 4% annual dividend yield, 6% share price growth. DRIP enrollment.

Year
Share Value
Dividend Income
New Shares
Total Value
0
$10,000
$10,000
5
$13,382
+$535
Reinvested
$16,105
10
$17,908
+$716
Reinvested
$26,678
20
$32,071
+$1,283
Reinvested
$64,142
30
$57,435
+$2,297
Reinvested
$154,154

$10,000 DRIP-invested for 30 years at 4% yield + 6% growth = $154,154 — a 15.4× return.
Without DRIP (taking dividends as cash): ~$57,435 in share value + dividends spent = far less total wealth.

The power: reinvested dividends buy more shares, which produce more dividends, which buy more shares — a self-reinforcing compounding cycle. DRIP is the most practical implementation of compound interest from Unit 5.

Part 3 — Dividend Policy Theory & BBYM Community Wealth Application

M&M irrelevance theorem, real-world signaling, and designing a dividend strategy for community wealth

M&M Dividend Irrelevance Theory

Just as Modigliani and Miller argued that capital structure is irrelevant in a perfect market (Unit 12), they also argued that dividend policy is irrelevant in a perfect capital market.

M&M Dividend Irrelevance — The Core Argument:

In a perfect market (no taxes, no transaction costs, no information asymmetry), shareholders don't care whether returns come as dividends or capital gains. If a company doesn't pay a dividend, shareholders can create a "homemade dividend" by simply selling a portion of their shares to generate cash. If it pays too large a dividend, shareholders can reinvest the cash to buy more shares.

Conclusion: Firm value depends only on investment decisions (what projects the company undertakes) — not on whether those projects' returns are distributed as dividends or retained as capital gains. The dividend-payout choice is merely a financing detail, not a value driver.
Why M&M Irrelevance Fails in the Real World — Three Market Frictions:

(1) Taxes: In the US, qualified dividends are taxed at 0–20% (capital gains rates), while ordinary dividends are taxed at income rates. Capital gains are deferred until the stock is sold. Tax-sensitive investors prefer capital gains over dividends, creating a tax preference that makes dividend policy relevant.

(2) Signaling Effect: Dividends are powerful signals. Initiating or raising a dividend signals management confidence in future earnings. Cutting or eliminating a dividend is catastrophic for stock price — it signals financial distress or deteriorating prospects. These signals have real economic effects on firm value that M&M ignores.

(3) Clientele Effect: Different investor types prefer different payout policies. Retirees and income investors prefer high dividends (regular cash flow). Growth investors prefer low dividends (reinvestment in high-return projects). Companies attract a "clientele" of investors aligned with their payout policy — changing policy disrupts the clientele and can destroy value even if M&M says it shouldn't matter.

Dividend Policy in Practice — What Determines Payout

FactorEffect on Payout RatioReasoning
Investment opportunitiesHigh opportunities → Lower payoutFirms with many positive-NPV projects retain earnings to fund them rather than distribute cash
Earnings stabilityStable earnings → Higher payoutPredictable cash flows support reliable dividends; volatile earnings make high payouts risky
Growth stageEarly-stage → Lower payout; mature → HigherYoung firms need capital for growth; mature firms with fewer opportunities return cash to shareholders
Debt levelsHigh debt → Lower payoutDebt service consumes cash; lenders often restrict dividend payments in loan covenants
Tax environmentHigh dividend taxes → Lower payoutHigh taxes on dividends push companies toward buybacks or retained earnings as tax-efficient alternatives
Investor clienteleIncome-seeking investors → Higher payoutCompanies match payout policy to the preference of their target investor base

Dividend Investing for BBYM Community Wealth

Designing a Dividend Income Portfolio for the Swanson Initiative:

Goal: Generate reliable income for community programming while growing the endowment principal.

Portfolio Strategy — "BBYM Dividend Core":
• 40% Broad dividend ETF (VYM/SCHD) — 3.0–3.5% yield, diversified, low cost
• 25% Utility stocks — 4.0–5.5% yield, stable and recession-resistant (essential services)
• 20% REITs (Real Estate Investment Trusts) — 4.0–6.0% yield, legally required to pay 90%+ of income as dividends
• 15% Consumer staples — 2.5–3.5% yield, slow growth but very reliable (P&G, J&J)

Blended yield ≈ 3.8–4.5%

DRIP rule: Reinvest all dividends during the endowment's growth phase (first 10–15 years). Switch to income distribution mode when the fund reaches the target principal to support programming budgets.

Ex-dividend calendar management: Track ex-dividend dates across portfolio holdings to ensure income is received quarterly and no inadvertent loss of dividend due to trades on or after ex-dividend dates.
Dividend Aristocrats — The Gold Standard for Community Wealth Funds:

Dividend Aristocrats are S&P 500 companies that have increased their dividend every year for at least 25 consecutive years. Dividend Kings have done so for 50+ consecutive years.

Why they matter for BBYM: these companies have demonstrated the financial discipline and earnings quality to sustain and grow dividend payments through multiple recessions, financial crises, and market disruptions. For a community wealth fund requiring reliable income, an Aristocrat is far more dependable than a high-yielding company with an uncertain payout history.

Examples include: Johnson & Johnson (60+ years), Procter & Gamble (66+ years), Coca-Cola (60+ years), Realty Income REIT ("The Monthly Dividend Company," 25+ consecutive years of monthly increases).

The lesson: consistency trumps yield. A 2.5% yield that grows 6% per year becomes more valuable than a 5% yield that stays flat or gets cut. In 10 years, the growing dividend exceeds the static one.

Residual Dividend Policy — How Firms Actually Set Dividends

The Residual Model:

Many firms follow a residual dividend policy — dividends are paid from earnings that remain after all acceptable investment projects have been funded:

Step 1: Identify all projects with NPV > 0 (return > WACC)
Step 2: Fund those projects first using retained earnings (cheapest equity source)
Step 3: Pay out whatever earnings are left over as dividends

Example: Earnings = $5M. Optimal capital budget requires $3M in retained equity. Residual for dividends = $5M − $3M = $2M (40% payout ratio).

If next year's capital budget rises to $4M: Residual = $5M − $4M = $1M (20% payout ratio).

Problem: This creates volatile dividends that disturb the investor clientele. Most firms therefore smooth dividends — maintaining a stable or slowly growing dividend even when residual income fluctuates, using other financing sources to bridge gaps. This is why dividends are "sticky" — firms are reluctant to cut them even under pressure.

Part 4 — Key Terms Defined

Master these 14 terms for the Unit 13 assessment

Declaration Date
The date on which a company's board of directors officially announces a dividend — stating the dividend amount, the ex-dividend date, the record date, and the payment date. Creates a legal obligation for the company to pay the declared dividend. Comes first in the four-date dividend sequence.
Ex-Dividend Date ★
The critical cutoff date for dividend eligibility. An investor must purchase the stock before this date to receive the declared dividend. Buyers on or after the ex-dividend date do not receive the upcoming dividend. Stock price typically falls by approximately the dividend amount on this date. This is the Assessment Q13 answer.
Record Date
The date on which the company examines its shareholder registry to determine who is eligible to receive the dividend. Must own shares as of this date to qualify. Typically set 1–2 business days after the ex-dividend date (reflecting standard trade settlement periods). Not the date you need to buy before — the ex-dividend date determines eligibility in practice.
Payment Date
The date on which the declared dividend is actually deposited into eligible shareholders' brokerage or investment accounts. The last of the four dividend dates — typically 2–4 weeks after the record date. The only date when shareholders actually receive their cash. Common exam trap: students sometimes confuse "when you get paid" (payment date) with "when you must own by" (ex-dividend date).
Dividend Yield
Annual dividends per share divided by the current stock price: DY = Annual DPS ÷ Price. Measures the income return from holding the stock (analogous to the interest rate on a bond). A 4% dividend yield on a $50 stock means $2.00/share annually. Useful for comparing income generation across different stocks. Does not account for capital gains/losses.
Payout Ratio
Dividends per share divided by earnings per share: DPS ÷ EPS. The fraction of earnings distributed to shareholders. A 40% payout ratio means the company pays out 40 cents of every dollar of earnings as dividends and retains 60 cents. High payout ratios signal mature companies or financial pressure; low ratios signal growth reinvestment or financial conservatism.
Retention (Plowback) Ratio
The fraction of earnings retained for reinvestment: 1 − Payout Ratio. A 40% payout ratio = 60% retention ratio. Critical input to the sustainable growth rate formula: g = ROE × Retention Ratio. Higher retention means more internal funding for growth projects; lower retention means more income returned to shareholders now.
Stock Dividend
A distribution of additional shares to existing shareholders proportional to their current holdings (e.g., 10% stock dividend = 10 new shares per 100 held). Does NOT distribute cash. Increases shares outstanding, reduces price per share proportionally, leaves total market capitalization unchanged. Transfers value from retained earnings to paid-in capital on the balance sheet. Creates no economic value — it's dividing the same pie into more slices.
Stock Split
An increase in the number of shares outstanding by a specific ratio (e.g., 2-for-1 means each shareholder gets 2 shares for every 1 held). The stock price adjusts proportionally downward (halves in a 2-for-1). Total market cap and every shareholder's percentage ownership remain identical. Primary purpose: lower the per-share price to improve affordability and trading liquidity for retail investors.
Share Repurchase (Buyback)
A company using its own cash to purchase its shares on the open market, reducing shares outstanding. Effects: increases EPS (same earnings divided by fewer shares), often boosts stock price (signal of management confidence + reduced supply), provides tax-efficient return of capital (capital gains deferred vs. immediate dividend income). More flexible than dividends — can be halted without the negative signal of cutting a dividend.
DRIP (Dividend Reinvestment Plan)
A program that automatically reinvests cash dividends into additional shares of the same stock instead of distributing the cash. Creates compound growth by continuously increasing share count, which increases future dividend income, which buys more shares. Often available with no brokerage commission and sometimes at a discount to market price. The most practical application of compounding from Unit 5 for dividend investors.
Dividend Irrelevance Theory (M&M)
Modigliani and Miller's proposition that in a perfect capital market (no taxes, transaction costs, or information asymmetry), dividend policy does not affect firm value. Shareholders can create "homemade dividends" by selling shares or reinvest cash dividends to replicate any payout policy. In reality, taxes, signaling effects, and clientele preferences make dividend policy relevant.
Signaling Effect
The information conveyed to the market by a company's dividend decision. Increasing dividends signals management confidence in future earnings growth — stock price typically rises. Cutting dividends signals financial distress or declining prospects — stock price typically drops sharply. This signaling makes dividends "sticky" downward: firms are reluctant to cut dividends even when financially stressed because of the severe negative market reaction.
Clientele Effect
The tendency for different investor types to prefer different dividend payout policies. Income investors (retirees, pension funds) prefer high-dividend stocks for cash flow. Growth investors prefer low-dividend stocks for capital appreciation and tax deferral. Companies naturally attract an investor "clientele" aligned with their payout policy. Changing dividend policy abruptly disrupts the clientele — causing those investors to sell and attracting a different investor base, often at a temporary cost to stock price.

Part 5 — Practice Questions

Show all work — these mirror the Unit 13 assessment format exactly

Conceptual Questions

Q1To receive a company's quarterly dividend, an investor must purchase the stock BEFORE which date? A) Payment Date  B) Declaration Date  C) Ex-Dividend Date  D) Record Date. (Unit 13 assessment question.)
Answer: C — Ex-Dividend Date

The ex-dividend date is the cutoff: buying before it qualifies you for the dividend; buying on or after it means the dividend goes to the previous owner.

Why not the others:
A (Payment Date) — This is when dividends are paid to those already eligible. Buying before the payment date is too late — eligibility was already determined on the ex-dividend date.
B (Declaration Date) — This is when the dividend is announced. You don't need to own the stock before the announcement — you just need to own it before the ex-dividend date.
D (Record Date) — This is when the company checks its records, but trades settle 1–2 business days after execution. So practically, buying before the record date is not early enough — you must buy before the ex-dividend date for your trade to settle before the record date.

The sequence: Declaration → Ex-Dividend Date (buy before this) → Record Date → Payment Date
Q2Explain what happens to a stock's price on the ex-dividend date, and why. Is there any "free money" opportunity from buying stock just before the ex-dividend date?
On the ex-dividend date, a stock's price typically falls by approximately the dividend amount. This is a mechanical adjustment, not a loss.

Why it happens: The stock's value includes the right to all future dividends. On the ex-dividend date, the upcoming dividend is separated from the share — it now belongs to whoever owned the stock the prior day. The share is now "ex" (without) this dividend, so it's worth less by exactly that amount.

No free money: If a stock trades at $60 with a $1.50 dividend, and you buy the day before the ex-date at $60, you receive $1.50 in cash — but the stock falls to ~$58.50 on the ex-date. Your total wealth: $58.50 (stock) + $1.50 (dividend) = $60 — exactly what you paid. No gain.

Additionally, the dividend income is taxable (at dividend tax rates), which may actually create a slight negative outcome compared to holding the stock longer without triggering the dividend. Experienced investors sometimes specifically avoid buying immediately before ex-dates to defer the tax event. The ex-dividend date is a financial mechanics date, not an opportunity.
Q3A company announces a 3-for-2 stock split. Before the split, you own 100 shares at $90/share. Describe exactly what you own immediately after the split. Has your wealth changed?
After a 3-for-2 stock split, you receive 3 new shares for every 2 you previously held.

Before split: 100 shares × $90 = $9,000 total value

After split: 100 × (3/2) = 150 shares at a new price of $90 × (2/3) = $60/share
Total value: 150 shares × $60 = $9,000 — unchanged

Your wealth has not changed at all. You own 50 more shares but each share is worth proportionally less. Your percentage ownership of the company is identical to before the split.

The split's purpose is practical: reducing the per-share price from $90 to $60 makes the stock more accessible to retail investors who prefer purchasing in round lots (100 shares). At $90/share, 100 shares costs $9,000; at $60, only $6,000. This increased accessibility may improve trading liquidity, but creates no new economic value for existing shareholders.
Q4Compare cash dividends vs. share repurchases from the perspective of: (a) a BBYM retiree needing monthly income, and (b) the Swanson Initiative endowment seeking long-term wealth growth.
(a) BBYM retiree needing monthly income:
Cash dividends are strongly preferred. The retiree needs regular cash flow to cover living expenses — dividends provide this automatically without requiring the sale of shares. High-dividend stocks (utilities, consumer staples, REITs at 4–6% yield) can generate meaningful income. Monthly dividend payers (Realty Income, some covered call ETFs) align perfectly with monthly expense needs. The retiree does not want to be in the position of selling shares during market downturns to generate income — dividends provide income regardless of market price.

(b) Swanson Initiative endowment (long-term growth):
Share repurchases and DRIP reinvestment are preferred. The endowment has no immediate income needs and benefits from deferring taxes (capital gains taxed only when sold, not on receipt of dividends). Buybacks create EPS growth and potential price appreciation without triggering annual tax events. If dividends are received, they should be automatically reinvested via DRIP to compound growth. The endowment's investment horizon of 20–50 years makes compound reinvestment vastly more valuable than current income. Eventually, as the endowment matures and begins funding BBYM programs, it transitions from growth mode (DRIP) to income distribution mode (dividend cash payouts).

Calculation Questions

Q5A utility stock pays a quarterly dividend of $0.85/share. Current stock price = $42. (a) Calculate annual DPS. (b) Calculate dividend yield. (c) If EPS = $3.20/year, calculate payout ratio and retention ratio.
(a) Annual DPS = $0.85 × 4 = $3.40/share

(b) Dividend Yield = $3.40 / $42 = 8.1% — high yield, typical for a utility stock

(c) Payout Ratio = DPS / EPS = $3.40 / $3.20 = 106.3%
Retention Ratio = 1 − 1.063 = −6.3% (negative!)

This is a warning sign: the company is paying out more in dividends than it earns — paying dividends from reserves or borrowing. A payout ratio above 100% is not sustainable long-term. The company must either raise earnings or cut the dividend. BBYM investors should flag any holding with payout > 90% for review — dividend safety is compromised when earnings don't adequately cover the dividend.
Q6A company earns $8M and has a 40% payout ratio. ROE = 18%. (a) Calculate total dividends paid. (b) Calculate retained earnings. (c) Using g = ROE × Retention ratio, calculate the sustainable growth rate.
(a) Total dividends = Earnings × Payout ratio = $8M × 0.40 = $3.2M

(b) Retained earnings = $8M × (1 − 0.40) = $8M × 0.60 = $4.8M

(c) g = ROE × Retention ratio = 18% × 0.60 = 10.8%

This means the company can grow at 10.8% per year sustainably using only internal funds (no new equity issuance). If it wants to grow faster, it must issue new stock or take on more debt. If management reduces the payout ratio to 20% (retention 80%): g = 18% × 0.80 = 14.4%. Cutting dividends enables faster growth — the classic tension between current income and future wealth creation.
Q7A company has 10 million shares, stock price $50, net income $15M. It announces a $20M share repurchase program. (a) How many shares will be repurchased? (b) Calculate EPS before and after the buyback. (c) If the stock maintains a 25× P/E ratio, what is the new stock price?
(a) Shares repurchased = $20M / $50 = 400,000 shares

(b) EPS before = $15M / 10,000,000 = $1.50/share
Shares after = 10,000,000 − 400,000 = 9,600,000
EPS after = $15M / 9,600,000 = $1.5625/share (+4.2%)

(c) New stock price = EPS after × P/E = $1.5625 × 25 = $39.06

Wait — the price fell? This happens because the repurchase used $20M in cash, reducing company assets. Let's reconcile: before buyback, total equity value = 10M × $50 = $500M. After paying out $20M in cash, total equity value = $480M. New price = $480M / 9.6M shares = $50.00 — exactly unchanged per share.

The P/E analysis above shows that if the market values the company at the same multiple on the higher EPS, price rises. In practice, buybacks often do push prices higher due to supply reduction and positive signaling — but the theoretical economic value per share is unchanged, just as M&M would predict.
Q8Calculate a 5-year DRIP projection for a BBYM community wealth fund: $25,000 initial investment in a dividend stock at $50/share. Annual dividend = $2.00/share (4% yield). Stock price grows 5%/year. Dividends reinvested at market price each year.
Initial shares = $25,000 / $50 = 500 shares

Year 1: Price = $52.50  |  Dividend = 500 × $2.00 = $1,000  |  New shares = $1,000/$52.50 = 19.05  |  Total shares = 519.05
Year 2: Price = $55.13  |  Dividend = 519.05 × $2.10 = $1,090  |  New shares = $1,090/$55.13 = 19.77  |  Total shares = 538.82
(Dividend per share grows 5% with price: $2.00 → $2.10 → $2.21 → $2.32 → $2.43)
Year 3: Price = $57.88  |  Dividend = 538.82 × $2.21 = $1,191  |  New shares = 20.58  |  Total = 559.40
Year 4: Price = $60.77  |  Dividend = 559.40 × $2.32 = $1,298  |  New shares = 21.36  |  Total = 580.76
Year 5: Price = $63.81  |  Dividend = 580.76 × $2.43 = $1,411  |  New shares = 22.12  |  Total = 602.88

Portfolio value at Year 5 = 602.88 shares × $63.81 = $38,486
Total return = ($38,486 − $25,000) / $25,000 = +53.9% over 5 years
Annual equivalent = (1.539)^(1/5) − 1 ≈ 9.0%/year (vs. 5% price growth alone — dividends added 4%/year in compounding boost)
Q9Explain the M&M dividend irrelevance theorem. Then identify the three real-world frictions that make dividend policy relevant despite M&M's theoretical conclusion.
M&M Dividend Irrelevance Theorem: In a perfect capital market (no taxes, no transaction costs, symmetric information), dividend policy does not affect firm value. Shareholders are indifferent between receiving $1 in dividends vs. $1 in capital gains — they can create their own "homemade dividend" by selling shares if the company doesn't pay, or reinvest dividends if they don't need cash. Firm value depends only on investment decisions (what projects are undertaken), not on how those returns are distributed.

Three real-world frictions that make dividends matter:

(1) Taxes: Dividends and capital gains are taxed differently and at different times. Qualified dividends are taxed at 0–20% in the year received. Capital gains are deferred until the stock is sold and also taxed at 0–20%. High-income investors prefer capital gains (deferral advantage). Lower-income investors may prefer dividends (0% rate on qualified dividends in lower brackets). These tax differences make the dividend decision economically meaningful.

(2) Signaling: Dividends carry information that market prices respond to dramatically. A dividend increase signals management confidence; a cut signals distress. These signals have immediate, large effects on stock prices that M&M's perfect information assumption cannot explain. Dividends are not just distributions — they are communications.

(3) Clientele Effect: Different investors have different preferences for income vs. growth. Companies attract an investor base aligned with their payout policy. Changing policy disrupts the clientele, causing selling pressure that temporarily depresses the stock price. This creates a practical constraint on dividend policy changes even when M&M says the change shouldn't matter.
Q10The Swanson Initiative holds a stock with: stock price $75, annual EPS = $5.00, annual DPS = $2.00. (a) Calculate dividend yield, payout ratio, and retention ratio. (b) ROE = 12% — calculate sustainable growth rate. (c) Is this company likely a growth stock or income stock? Explain.
(a) Dividend yield = $2.00/$75 = 2.67%
Payout ratio = $2.00/$5.00 = 40%
Retention ratio = 1 − 0.40 = 60%

(b) Sustainable growth rate = ROE × Retention ratio = 12% × 0.60 = 7.2%/year

(c) Growth-income hybrid (balanced stock):
• 2.67% yield is moderate — not as high as pure income stocks (utilities: 4–6%) but not zero like pure growth stocks (Amazon, Nvidia)
• 40% payout ratio is balanced — rewarding shareholders while retaining 60% for reinvestment
• 7.2% sustainable growth rate is solid — suggests meaningful growth potential

This profile resembles a mature growth company (Microsoft, Apple before aggressive buybacks) — substantial enough earnings to both pay dividends and reinvest in growth. For the Swanson Initiative, this type of holding offers the best of both worlds: modest current income (2.67% yield) plus 7%+ capital appreciation potential. During the endowment's growth phase, enabling DRIP on this position compounds both the dividend income and the capital growth.
Q11A company earns $6M per year and has the following investment opportunities: Project A (NPV = $800K, requires $2M equity), Project B (NPV = $300K, requires $1M equity), Project C (NPV = −$100K). Using the residual dividend model with 1,000,000 shares outstanding, determine: (a) optimal investment, (b) residual available for dividends, (c) DPS, and (d) payout ratio.
(a) Accept all positive-NPV projects:
Project A: NPV = +$800K → Accept ✓ (requires $2M equity)
Project B: NPV = +$300K → Accept ✓ (requires $1M equity)
Project C: NPV = −$100K → Reject ✗
Total equity needed for investment: $2M + $1M = $3M

(b) Residual for dividends = Earnings − Equity needed = $6M − $3M = $3M

(c) DPS = Total dividends / Shares = $3M / 1,000,000 = $3.00/share

(d) EPS = $6M / 1,000,000 = $6.00/share
Payout ratio = $3.00 / $6.00 = 50%

If next year only Project A is available ($2M needed): residual = $6M − $2M = $4M → DPS = $4.00 (67% payout). The residual model produces volatile dividends — which is why firms typically don't follow it mechanically and instead smooth dividends around a stable target, using debt or other equity to bridge investment gaps without disrupting the dividend.

Part 6 — Quick Reference Summary

Read this the night before the assessment

Unit 13 in 5 Essential Sentences

Sentence 1
The four dividend dates in order: Declaration → Ex-Dividend Date (must own before this to receive dividend — Assessment Q13 answer) → Record Date → Payment Date; stock price falls ~dividend amount on the ex-date.
Sentence 2
Dividend Yield = Annual DPS ÷ Price; Payout Ratio = DPS ÷ EPS; Retention Ratio = 1 − Payout Ratio; Sustainable Growth Rate = ROE × Retention Ratio.
Sentence 3
Stock dividends and stock splits create no economic value — they divide the same pie into more slices; cash dividends and share repurchases both distribute real value — repurchases boost EPS and offer tax deferral advantages; DRIP reinvests dividends to compound share count over time.
Sentence 4
M&M says dividends are irrelevant in perfect markets; real-world frictions — taxes (capital gains deferral), signaling (dividend cuts devastate stock price), and clientele effects — make dividend policy matter in practice.
Sentence 5
For BBYM: income-seeking community members benefit from high-dividend stocks (utilities, REITs, Dividend Aristocrats); the Swanson Initiative endowment benefits from DRIP growth during accumulation and dividend income during distribution — consistency of dividend trumps maximum yield.

Must-Know Facts for the Assessment

Concept / FormulaAnswer
Assessment Q13 answerEx-Dividend Date — must purchase stock BEFORE this date to receive the dividend
Four dates in orderDeclaration → Ex-Dividend → Record → Payment
Ex-dividend price effectStock price falls ~dividend amount; total shareholder wealth unchanged
Dividend yield formulaAnnual DPS ÷ Current Stock Price
Payout ratio formulaDPS ÷ EPS (% of earnings paid as dividends)
Retention ratio formula1 − Payout Ratio (% of earnings reinvested)
Sustainable growth rateg = ROE × Retention Ratio
Stock split — wealth effectZero — more shares, proportionally lower price; same total value
Stock dividend — wealth effectZero — more shares, proportionally lower price; same total value
Share repurchase EPS effectEPS increases (same net income ÷ fewer shares)
DRIP benefitAutomatically reinvests dividends; compounds share count over time
M&M dividend irrelevanceIn perfect markets, dividend policy doesn't affect firm value
Three real-world frictionsTaxes (capital gains deferral), signaling (cuts = bad signal), clientele effect
Dividend AristocratsS&P 500 companies with 25+ consecutive years of dividend increases
Payout > 100%Unsustainable — company paying more than it earns; dividend at risk of being cut