Overview of Equity Securities

Learning Objectives Coverage

LO1: Describe characteristics of types of equity securities

Core Concept

Equity securities represent ownership claims on a company’s net assets, with common shares being the predominant type and preference shares offering hybrid characteristics between debt and equity. Understanding these characteristics is crucial for portfolio construction and risk assessment in both traditional and decentralized finance. exam-focus

The key components are:

• Common shares: voting rights, residual claims, variable dividends
• Preference shares: fixed dividends, priority claims, limited voting
• Callable/putable features: embedded options affecting value and risk (see Derivatives)

Formulas & Calculations

• Main formula: Not applicable for descriptive characteristics
• HP 12C steps: Not applicable
• Common variations: Various classes (A/B shares) with different voting/economic rights

Practical Examples

• Traditional Finance Example: Ford Motor Company’s dual-class structure
  • Class A (Common): 60% voting rights, public ownership
  • Class B: 40% voting rights, Ford family ownership
  • Different liquidation preferences between classes
• Calculation walkthrough: Not applicable for qualitative characteristics
• Interpretation: Dual-class structures allow founders to maintain control while raising capital

DeFi Application defi-application

Governance tokens such as Uniswap’s UNI and Compound’s COMP function analogously to common shares, granting voting rights on protocol changes. These tokens represent programmable rights with transparent on-chain voting and instant settlement. However, they face challenges including regulatory uncertainty, smart contract risks, and pervasive voter apathy — mirroring the proxy voting engagement problems seen in traditional corporate governance. The concept of tokenized equities (security tokens representing actual equity ownership) further blurs the line between traditional equity securities and DeFi tokens.

LO2: Describe differences in voting rights and other ownership characteristics among different equity classes

Core Concept

• Definition: Different equity classes provide varying levels of control and economic rights to accommodate diverse investor needs and issuer objectives
• Why it matters: Understanding voting structures is essential for assessing corporate governance and control dynamics
• Key components:
  • Statutory voting: one share, one vote
  • Cumulative voting: concentrate votes on specific candidates
  • Proxy voting: delegate voting authority

Formulas & Calculations

• Main formula: Total voting rights = Shares owned × Directors to be elected (cumulative voting)
• HP 12C steps: [100] [ENTER] [4] [×] (for 100 shares, 4 directors = 400 votes)
• Common variations: Super-voting shares (10:1 or 20:1 voting ratios)

Practical Examples

• Traditional Finance Example: Viacom’s dual-class structure
  • Class A: Full voting rights, convertible to Class B
  • Class B: Non-voting, higher liquidity, same economic rights
  • Founding family controls >70% voting with minority economic stake
• Calculation walkthrough: 100 shares × 4 directors = 400 cumulative votes
• Interpretation: Cumulative voting helps minority shareholders gain board representation

DeFi Application defi-application

MakerDAO’s MKR token voting system implements continuous approval voting, executive votes, and governance polls — all on-chain and fully transparent. While this eliminates the need for proxy intermediaries, it introduces new challenges: gas costs deter small holders from voting, whale token holders can dominate outcomes, and overall participation rates remain low. This parallels the cumulative vs. statutory voting debate in traditional corporate governance.

LO3: Compare and contrast public and private equity securities

Core Concept

Public equity trades on exchanges with price transparency, while private equity involves non-public offerings with limited liquidity. Investment horizon, liquidity needs, and return expectations differ significantly between the two — a distinction explored further in Alternative Investments. exam-focus

Key components include:

• Public: Listed exchanges, regulatory oversight, market pricing
• Private: Venture capital, leveraged buyouts, PIPE investments
• Exit strategies: IPOs, acquisitions, secondary sales

Formulas & Calculations

• Main formula: Not directly applicable (qualitative comparison)
• HP 12C steps: Not applicable
• Common variations: Pre-IPO investments, secondary market transactions

Practical Examples

• Traditional Finance Example: TapImmune PIPE transaction
  • $70millionprivateplacementat$4.00/share
  • Warrants at $5.00 strike for 5-year term
  • Institutional investors: NEA, Aisling Capital
• Calculation walkthrough: 17.5M shares × $4.00=$70M raised
• Interpretation: PIPE provides quick capital at potential discount to market

DeFi Application defi-application

Private token sales (SAFTs — Simple Agreements for Future Tokens) mirror traditional private placements, while public DEX listings serve as the DeFi equivalent of an IPO. The typical path moves from seed rounds via SAFTs to public launch through an IDO (Initial DEX Offering) or IEO (Initial Exchange Offering). DeFi offers advantages like global access, 24/7 trading, and programmable vesting schedules, but regulatory compliance and extreme price volatility at launch remain significant challenges. This private-to-public progression closely parallels the traditional primary market pipeline.

LO4: Describe methods for investing in non-domestic equity securities

Core Concept

• Definition: Cross-border equity investment through direct purchase, depository receipts (ADRs/GDRs), or global registered shares
• Why it matters: International diversification reduces portfolio risk and provides exposure to global growth opportunities
• Key components:
  • ADRs: US dollar-denominated, trade on US exchanges
  • GDRs: Trade outside home country and US
  • Direct investment: Local market purchase with FX exposure

Formulas & Calculations

• Main formula: Total return = Local return + Currency return
• HP 12C steps: [10] [ENTER] [10] [+] (10% local + 10% FX = ~20% total)
• Common variations: Hedged vs. unhedged returns

Practical Examples

• Traditional Finance Example: Alibaba ADR (BABA)
  • Largest ADR IPO: $25 billion
  • 1 ADR = 1 ordinary share
  • NYSE listed, USD denominated
• Calculation walkthrough: 10% stock return + (-10%) FX = ~0% USD return
• Interpretation: Currency movements significantly impact international returns

DeFi Application defi-application

Wrapped tokens (wBTC, wETH) on different chains serve a function similar to ADRs and GDRs, enabling assets native to one blockchain to be used in another chain’s DeFi ecosystem. Bridge protocols facilitate these cross-chain asset transfers, offering benefits like access to any chain’s DeFi ecosystem and atomic swaps. However, bridge security risks and wrapped token custody concerns introduce a new class of risk not present in traditional depository receipt structures.

LO5: Compare the risk and return characteristics of different types of equity securities

Core Concept

Risk-return profiles vary based on security features, with common shares generally carrying more risk than preference shares. Proper risk assessment is essential for portfolio construction and meeting investor objectives. exam-focus

Key components:

• Common shares: Higher risk, higher potential return
• Preference shares: Lower risk, fixed returns (valued using perpetuity models)
• Embedded options: Callable features increase risk, putable features reduce it (see Derivatives)

Formulas & Calculations

• Main formula: Total return = (P₁ - P₀ + D) / P₀
• HP 12C steps: [42] [ENTER] [50] [-] [2] [+] [50] [÷] [100] [×]
• Common variations: Risk-adjusted returns (Sharpe ratio)

Practical Examples

• Traditional Finance Example: Share return calculation
  • Purchase: $50,Sale:$42, Dividend: $2
  • Return = ($42-$50 + $2)/$50 = -12%
• Calculation walkthrough: (-$8+$2) / $50=-$6 / $50 = -0.12
• Interpretation: Despite dividend, capital loss resulted in negative return

DeFi Application

• Protocol example: AAVE token staking vs. holding
• Implementation: Staking adds yield but requires lock-up
• Advantages/Challenges:
  • Advantages: Additional yield from protocol fees
  • Challenges: Impermanent loss, smart contract risk

LO6: Explain the role of equity securities in the financing of a company’s assets

Core Concept

• Definition: Equity provides permanent capital for asset acquisition, expansion, and operations without contractual repayment obligations
• Why it matters: Capital structure decisions affect cost of capital, financial flexibility, and shareholder returns
• Key components:
  • Primary markets: IPOs, follow-on offerings
  • Uses: Long-term assets, R&D, acquisitions
  • No maturity: Permanent capital base

Formulas & Calculations

• Main formula: Not directly applicable
• HP 12C steps: Not applicable
• Common variations: Debt-to-equity ratios for capital structure

Practical Examples

• Traditional Finance Example: Company raising equity for expansion
  • Avoid debt covenants and interest obligations
  • Maintain financial flexibility
  • Share upside with investors
• Calculation walkthrough: Not applicable
• Interpretation: Equity financing preserves cash flow for growth

DeFi Application

• Protocol example: Uniswap treasury funding development
• Implementation: Protocol tokens fund ecosystem growth
• Advantages/Challenges:
  • Advantages: Aligned incentives, community funding
  • Challenges: Token price volatility affects runway

LO7: Contrast the market value and book value of equity securities

Core Concept

Book value reflects historical cost accounting (covered in Financial Statement Analysis), while market value represents investor expectations of future cash flows. Price-to-book ratios indicate market sentiment and growth expectations, serving as a key input to equity valuation. valuation

Key components:

• Book value = Assets - Liabilities
• Market value = Share price x Shares outstanding
• P/B ratio indicates growth expectations

Formulas & Calculations

• Main formula: P/B Ratio = Market price per share / Book value per share
• HP 12C steps: [35.74] [ENTER] [11.98] [÷]
• Common variations: Tangible book value (excludes intangibles)

Practical Examples

• Traditional Finance Example: Pfizer analysis (2017)
  • Market price: $35.74
  • Book value per share: $11.98
  • P/B ratio: 2.98
• Calculation walkthrough: $35.74/$11.98 = 2.98
• Interpretation: Market values Pfizer at 3x book, indicating growth expectations

DeFi Application

• Protocol example: Protocol treasury vs. token market cap
• Implementation: On-chain treasury visible vs. market valuation
• Advantages/Challenges:
  • Advantages: Transparent treasury, real-time valuation
  • Challenges: Token velocity affects traditional metrics

LO8: Compare a company’s cost of equity, its (accounting) return on equity, and investors’ required rates of return

Core Concept exam-focus formula

Cost of equity (the investor’s required return), ROE (accounting performance), and required return (market expectation) represent different perspectives on equity returns. When ROE exceeds the cost of equity, the company is creating value — a principle that connects directly to equity valuation and the DuPont decomposition.

Key components:

• Cost of equity: Minimum return for shareholders (CAPM: Re = Rf + B(Rm - Rf))
• ROE: Net income / Book equity
• Required return: Market-determined expectation

Formulas & Calculations

• Main formula: ROE = Net Income / Average Book Value of Equity
• HP 12C steps: [21308000] [ENTER] [65563500] [÷] [100] [×]
• Common variations: ROE using beginning vs. average equity

Practical Examples

• Traditional Finance Example: Pfizer ROE (2017)
  • Net income: $21,308M
  • Average equity: $65,564M
  • ROE: 32.5%
• Calculation walkthrough: $21,308M/$65,564M = 0.325 = 32.5%
• Interpretation: Generated $0.325 return per dollar of equity

DeFi Application

• Protocol example: Protocol fee APY vs. token staking rewards
• Implementation: Revenue sharing through buyback or distribution
• Advantages/Challenges:
  • Advantages: Real-time revenue visibility, programmable distribution
  • Challenges: Volatile yields, sustainability questions

Core Concepts Summary (80/20 Principle)

Must-Know Concepts

1. Common vs. Preferred Equity: Common shares offer ownership and voting rights with variable returns; preferred shares provide fixed dividends with priority claims
2. Public vs. Private Markets: Public markets offer liquidity and transparency; private markets provide higher return potential with longer horizons
3. Depository Receipts: Enable international investment without direct foreign market access
4. ROE Formula: Net Income / Book Value of Equity measures accounting profitability
5. Market vs. Book Value: Market value reflects future expectations; book value shows historical cost

Quick Reference Table

Concept	Formula	When to Use	DeFi Equivalent
Total Return	(P₁-P₀+D)/P₀	Performance measurement	(Price + Yield + Rewards)
ROE	NI/BVE	Profitability analysis	Protocol Revenue/TVL
P/B Ratio	Price/Book Value	Valuation comparison	FDV/Treasury
Voting Rights	Shares × Directors	Board elections	Governance proposals
ADR Ratio	Local shares:ADR	International investment	Wrapped tokens

Comprehensive Formula Sheet formula

Essential Formulas

Total Return
Rt = (Pt - Pt-1 + Dt) / Pt-1
Where: Pt = Price at time t, Dt = Dividends
Used for: Measuring investment performance

Return on Equity (ROE)
ROE = Net Income / Average Book Value of Equity
Where: Average BVE = (BVEt + BVEt-1) / 2
Used for: Assessing management effectiveness

Price-to-Book Ratio
P/B = Market Price per Share / Book Value per Share
Where: Book Value = (Assets - Liabilities) / Shares
Used for: Valuation comparisons

Cost of Equity (CAPM)
Re = Rf + β(Rm - Rf)
Where: Rf = Risk-free rate, β = Beta, Rm = Market return
Used for: Estimating required return

HP 12C Calculator Sequences

Total Return Calculation
Steps: [End Price] [ENTER] [Start Price] [-] [Dividend] [+] [Start Price] [÷] [100] [×]
Example: 42 ENTER 50 - 2 + 50 ÷ 100 × = -12%

ROE Calculation
Steps: [Net Income] [ENTER] [Book Equity] [÷] [100] [×]
Example: 7215000 ENTER 62419000 ÷ 100 × = 11.6%

P/B Ratio Calculation
Steps: [Market Price] [ENTER] [Book Value per Share] [÷]
Example: 35.74 ENTER 11.98 ÷ = 2.98

Practice Problems

Basic Level (Understanding)

1. Problem: A company has 1 million common shares and 100,000 preferred shares outstanding. Which shareholders vote on board elections?

   • Given: Share counts by type
   • Find: Voting rights
   • Solution: Only common shareholders typically have voting rights
   • Answer: The 1 million common shareholders vote; preferred shareholders generally don’t vote

2. Problem: Calculate total return: Buy at $40,sellat$44, receive $1 dividend

   • Given: P₀=$40,P_1=$44, D=$1
   • Find: Total return percentage
   • Solution: ($44-$40+$1)/$40 = $5/$40 = 0.125
   • Answer: 12.5% total return

Intermediate Level (Application)

1. Problem: A company with $10Massetsand$6M liabilities has 500,000 shares. Calculate book value per share and compare to $12 market price.

   • Given: Assets=$10M,Liabilities=$6M, Shares=500k, Price=$12
   • Find: Book value per share and P/B ratio
   • Solution:
     • Book value = $10M-$6M = $4M
     • BVPS = $4M/500k=$8
     • P/B = $12/$8 = 1.5
   • Answer: BVPS = $8, P/B ratio = 1.5, indicating 50% premium to book

2. Problem: Compare ROE for two companies:

   • Company A: NI=$5M,Equity=$25M
   • Company B: NI=$3M,Equity=$10M
   • Given: Financial data for both companies
   • Find: Which has higher ROE?
   • Solution:
     • ROE_A = $5M/$25M = 20%
     • ROE_B = $3M/$10M = 30%
   • Answer: Company B has higher ROE (30% vs 20%), more efficient with equity capital

Advanced Level (Analysis)

1. Problem: A US investor buys Japanese shares for ¥10,000 when USD/JPY=100. Shares rise to ¥11,000 and pay ¥200 dividend, but yen weakens to USD/JPY=110.
   • Given: Initial price ¥10,000, final ¥11,000, dividend ¥200, FX moves from 100 to 110
   • Find: Total USD return
   • Solution:
     • Local return: (¥11,000 + ¥200 - ¥10,000) / ¥10,000 = 12%
     • Initial USD investment: ¥10,000 / 100 = $100
     • Final USD value: ¥11,200 / 110 = $101.82
     • USD return: ($101.82-$100) / $100 = 1.82%
   • Answer: 1.82% USD return (12% local return reduced by ~10% currency depreciation)

DeFi Applications & Real-World Examples

Traditional Finance Context

• Institution Example: BlackRock’s use of voting power in ESG initiatives
• Market Application: Dual-class structures in tech IPOs (Facebook, Google)
• Historical Case: 2008 TARP preferred share investments in banks

DeFi Parallels

• Protocol Implementation: Compound’s COMP token distribution through usage mining
• Smart Contract Logic: Governance token vesting schedules preventing dumps
• Advantages: 24/7 trading, transparent ownership, programmable rights
• Limitations: Regulatory uncertainty, smart contract risks, oracle dependencies

Case Studies

1. Case 1: Uniswap governance token launch

   • Background: Retroactive airdrop to users, no ICO
   • Analysis: Created $15B+ market cap instantly
   • Outcomes: Successful decentralization, active governance
   • Lessons learned: Fair launch creates community alignment

2. Case 2: Traditional IPO vs. Token Generation Event

   • Background: Compare Coinbase IPO vs. UNI token launch
   • Analysis: Different regulatory paths, similar outcomes
   • Outcomes: Both achieved multi-billion valuations
   • Lessons learned: Multiple paths to public markets emerging

Common Pitfalls & Exam Tips

Frequent Mistakes

• Mistake 1: Confusing voting rights between common and preferred shares - Remember: preferred usually don’t vote
• Mistake 2: Ignoring currency effects in international returns - Always consider both local and FX returns
• Mistake 3: Using ending equity instead of average for ROE - Use average when equity changes significantly

Exam Strategy

• Time management: 90 seconds per question, skip and return if stuck
• Question patterns: Often test differences between security types
• Quick checks: Verify ROE > Cost of Equity for value creation

Key Takeaways

Essential Points

✓ Common shares provide ownership, voting rights, and residual claims on assets ✓ Preferred shares offer fixed dividends and priority over common in liquidation ✓ ROE = Net Income / Book Equity measures accounting profitability ✓ Market value reflects future expectations while book value shows historical cost ✓ International investing involves both security and currency risk

Memory Aids

• Mnemonic: “COVER” - Common, Ownership, Voting, Equity, Residual
• Visual: Preference shares sit between debt and common equity
• Analogy: Common shares are like owning a business; preferred like lending with upside

Cross-References & Additional Resources

Related Topics

• Prerequisite: Basic accounting — see Financial Statement Analysis
• Related: Corporate Issuers (cost of capital, dividend policy, capital structure)
• Next topic: Company Analysis: Past and Present
• Advanced: Equity Valuation, option pricing for embedded features

Source Materials

• Primary Reading: Volume 5, Chapter 4, Pages 159-195
• Key Sections: Characteristics of equity securities, ROE calculations
• Practice Questions: End-of-chapter problems 1-24

External Resources

• Videos: Khan Academy equity securities playlist
• Articles: Finance equity research primers
• Tools: Financial calculators, Bloomberg terminal guides

Review Checklist

Before moving on, ensure you can:

• Distinguish between common and preferred share characteristics
• Calculate total return including dividends and FX effects
• Compute ROE using both beginning and average equity methods
• Explain why market value typically exceeds book value
• Compare public and private equity investment characteristics
• Identify voting right structures and their implications
• Calculate P/B ratios and interpret their meaning
• Apply equity concepts to DeFi token economics