CFA Level 1 — Corporate Issuers

Intuition-First Study Guide · Readings 20–26

Why concepts matter · Key formulas with worked examples · Common exam traps · All LOS covered

Reading 20

Organizational Forms, Corporate Issuer Features, and Ownership

How businesses are legally structured — and why it determines everything from liability to taxation.

Why This Reading Matters

Before a company can raise capital, investors need to understand its legal form. The form determines who bears losses, who controls the firm, how profits are taxed, and how easily shares can be transferred. The corporation dominates capital markets precisely because it solves these problems most elegantly. This reading is foundational vocabulary for the entire Corporate Issuers topic.

The Four Organizational Forms Compared Critical

Every business structure is defined by five key features: separate legal entity, owner-operator separation, liability type, tax treatment, and capital access. The CFA exam loves testing the differences across structures.

Feature	Sole Proprietorship	General Partnership	Limited Partnership	Corporation
Separate legal entity?	No	No	No	Yes
Owner–operator separation?	No (same person)	No (partners run it)	Partial (GPs run; LPs passive)	Yes (board hires managers)
Liability	Unlimited	Unlimited (all partners)	GPs: unlimited; LPs: limited to investment	Limited (shareholders)
Tax treatment	Personal income	Personal income	Personal income (pass-through)	Potentially double-taxed
Capital access	Very limited	Limited	Better (LPs invest capital)	Best (public equity + debt markets)

The corporation is the dominant form for large businesses because limited liability allows millions of strangers to invest without risking more than what they paid. No rational person would buy 100 shares of a bank if they could be sued for the bank's entire debts.

A corporation is the ONLY form that is a separate legal entity from its owners. This is the single most important distinguishing feature — it enables limited liability, perpetual existence, and easy share transferability.

Key Features of Corporations

A corporation is formed by filing articles of incorporation with a regulatory body. As a legal entity, it can hire employees, enter contracts, borrow money, sue, and be sued — all independently of its shareholders.

Feature	What It Means	Exam Relevance
Shareholders	Owners with limited liability and residual claim	Lose only their investment if bankrupt
Voting rights	Shareholders elect the board of directors	Board then hires/fires management
Dividends	Board may distribute earnings as dividends	Not obligated to pay dividends
Transferability	Shares can be bought/sold (public companies on exchanges)	Free float = actively traded shares
Perpetual life	Exists beyond individual shareholders	Unlike a sole proprietorship which ends at death
Double taxation	Profits taxed at corporate level, then dividends taxed at personal level	See formula below

Double Taxation Formula Formula

This formula appears directly in exam questions. Know how to calculate the effective tax rate on pre-tax profits:

\[ \text{Effective Tax Rate} = t_c + t_p \times (1 - t_c) \]

Where $t_c$ = corporate tax rate, $t_p$ = personal (dividend) tax rate. Alternatively, work it numerically starting from $100 of pre-tax profit.

🎯 Exam Question

ABC Corp has a corporate tax rate of 25%. Shareholders pay 20% tax on dividends. The company pays out 100% of after-tax profits as dividends. What is the effective tax rate on pre-tax corporate profits?

Method 1 (Formula): 0.25 + 0.20 × (1 − 0.25) = 0.25 + 0.15 = 40%

Method 2 (Numerical — always works): Start with $100 pretax profit. Corporate tax @25% = $25. After-tax profit = $75. Dividend tax @20% = $15. Total tax = $25 + $15 = $40. Effective rate = 40/100 = 40%

Trap: Many candidates simply add 25% + 20% = 45%. This is wrong — personal tax only applies to the after-tax amount that reaches shareholders.

🎯 Exam Question

A corporation retains 60% of after-tax profits and pays out 40% as dividends. Corporate tax = 25%, personal dividend tax = 20%. What is the effective tax rate on the corporation's pretax profits?

Answer: Only the portion paid as dividends faces personal tax. Starting with $100: Corporate tax = $25. After-tax = $75. Dividends = 40% × $75 = $30. Personal tax = 20% × $30 = $6. Total tax = $25 + $6 = $31. Effective rate = 31%. Retaining earnings reduces the double-tax burden — a key reason growth firms pay few dividends.

Public vs. Private Companies Critical

Public Limited Company

Shares listed on a stock exchange — price/volume transparent
High regulatory burden: quarterly/annual filings, material event disclosures
Free float = shares actively traded (not held by insiders)
Access to large, diversified shareholder base
Greater scrutiny — management under market pressure

Private Limited Company

Shares do NOT trade on exchange — value not readily observable
Limited regulatory requirements; less disclosure
Raise capital via private placements (accredited investors only)
Can take longer-term view without quarterly earnings pressure
Harder to exit — must wait for IPO, sale, or acquisition

Ways a Private Company Goes Public

Method	How It Works	Key Distinction
IPO	Company issues new shares to the public; underwritten by investment bank	Raises new capital; most common
Direct Listing	Exchange lists existing shares directly — no new shares issued	No new capital raised; no underwriter; faster
SPAC	A "blank check" shell company raises capital via IPO, then acquires a private company	Target company doesn't need to be identified at IPO time

In a direct listing, NO new capital is raised and NO underwriter is involved. This is the most common exam trap for this topic. SPACs are "blank check" companies — they raise money before knowing their acquisition target.

🎯 Exam Question

A private company wants to go public quickly without raising any new equity capital. It should most likely use a:

Answer: Direct listing. An IPO raises new capital (shares are newly issued). A SPAC also involves a separate entity raising capital. Only a direct listing puts existing shares on an exchange without issuing new ones or raising fresh capital.

Reading 21

Investors and Other Stakeholders

Debt vs equity — two fundamentally different risk/return profiles that create natural conflicts of interest.

Why This Reading Matters

Understanding who has claims on a company — and the nature of those claims — is foundational to corporate finance. Debtholders and equity holders want different things from management. ESG adds a third dimension: non-financial stakeholders who increasingly affect a company's value. Exam questions test your ability to identify whose interests are served by various corporate actions.

Debt vs. Equity: Different Claims, Different Motivations Critical

Debtholders (Lenders / Bondholders)

Contractual, legal claim to promised interest + principal
Higher priority: paid before equity in any scenario
Limited upside — best outcome is to receive all promised payments. Growth above that does NOT benefit debtholders.
Bears downside risk if company value falls below debt value
Prefer less risk — want stable, predictable cash flows
Protected by covenants and collateral

Equity Holders (Shareholders)

Residual claim — get what's left after all other claims paid
Lowest priority in bankruptcy — often get nothing
Unlimited upside — benefit fully from company growth
Loss limited to investment (limited liability)
May prefer more risk — higher risk → higher expected return on equity
Voting rights to influence management via board

Imagine a building worth $1M with a $600K mortgage. If the building rises to $1.5M, the homeowner captures the full $500K gain — the lender still gets only their $600K back. But if the building falls to $400K, the lender bears the $200K loss while the owner simply walks away. This perfectly illustrates the asymmetric upside (equity) vs. capped upside (debt) payoff.

The Leverage Effect on ROE Formula

Leverage amplifies returns in both directions. This is the fundamental reason debt and equity holders have conflicting interests about how much risk to take.

\[ ROE = \frac{\text{Net Income}}{\text{Equity}} \]

🎯 Exam Question

A company has revenues of $1,000 and operating expenses of $800. Assets = $1,000. Calculate ROE under two scenarios: (A) 100% equity financing, and (B) 50% debt at 10% interest, 50% equity. Assume no taxes.

Scenario A (100% equity):
Operating profit = $1,000 − $800 = $200. Equity = $1,000. ROE = $200/$1,000 = 20%.

Scenario B (50/50 debt/equity):
Debt = $500 @ 10% → Interest = $50. Net income = $200 − $50 = $150. Equity = $500. ROE = $150/$500 = 30%.

Insight: Leverage boosted ROE from 20% to 30% because the return on assets (20%) exceeded the cost of debt (10%). BUT: if revenues fell 15% to $850: Operating profit = $50. Scenario A ROE = 5%; Scenario B ROE = 0%. Leverage also amplifies losses — debtholders still get their $50 interest regardless.

Equity holders benefit from leverage when return on assets > cost of debt. Debtholders receive no extra return from this upside — they only bear the downside if things go badly. This misaligned incentive is the root of most shareholder-creditor conflicts.

Stakeholder Groups and Their Interests

Under stakeholder theory, a company must balance the interests of multiple groups — not just maximize shareholder returns. Under shareholder theory, the primary goal is maximizing equity value.

Stakeholder	Primary Interest	Mechanism for Influence
Shareholders	Profitability, growth, share price appreciation, dividends	Voting rights, shareholder resolutions, proxy contests
Bondholders / Public Debt	Timely interest and principal payments; low default risk	Bond indentures, covenants, creditor committees
Banks / Private Lenders	Creditworthiness, collateral; may hold equity too	Loan covenants; access to non-public info
Board of Directors	Protect shareholders; oversee management	Hire/fire CEO; set strategy; audit oversight
Senior Management	Employment security, compensation, firm success	Run day-to-day operations; compensation tied to performance
Employees	Wages, career growth, job security, working conditions	Labor unions, employment contracts, ESOPs
Suppliers	Ongoing business relationship; timely payments	Contracts; short-term creditor status
Customers	Quality products, reasonable prices, reliability	Purchasing decisions; reputational pressure
Government / Regulators	Tax revenue, employment, compliance with laws	Legislation, regulatory agencies, fines

Board Structure: One-Tier vs. Two-Tier

One-Tier Board (Anglo-American)

Inside directors (executives, founders) + independent directors on one board
Majority must be independent (exchange requirement)
Risk: inside directors may favor management interests

Two-Tier Board (Continental Europe)

Supervisory board: independent directors only — oversees management
Management board: inside directors — run the company
Cleaner separation between oversight and operations

A staggered board elects only a fraction of directors each year — it protects incumbents from sudden takeovers but also entrenches poor management. Minority shareholders prefer non-staggered, majority-independent boards where they can vote out the full board at once.

ESG Factors Exam Focus

ESG stands for Environmental, Social, and Governance. Investors increasingly analyze ESG factors because they can materially affect cash flows and firm value. The CFA exam tests your ability to classify specific situations into the correct ESG category.

Category	Examples	Financial Impact Channel
Environmental	Carbon emissions, pollution, deforestation, water usage, waste management	Regulatory fines, cleanup costs, stranded assets, reputational damage
Social	Data privacy, labor practices, diversity & inclusion, community relations	Employee productivity, customer loyalty, litigation risk
Governance	Board composition, executive pay, anti-corruption policies, lobbying	Manager alignment, fraud prevention, capital cost

ESG risks flow differently to debt vs. equity investors. Equity holders bear the brunt of any adverse ESG outcome (they lose residual value first). Debtholders are insulated unless losses are large enough to threaten default. Long-maturity debtholders face more ESG exposure than short-term lenders — a coal plant may be profitable today but become a stranded asset in 10 years.

🎯 Exam Question

A company shuts down a coal-fired power plant because new carbon regulations make it unprofitable to retrofit. This is best described as an example of:

Answer: Stranded asset (Environmental factor). A stranded asset is one that becomes unviable due to regulatory or market transitions. This is an environmental factor — not governance (which covers board structure, pay, etc.) or social (which covers employee/community relations).

🎯 Exam Question

A pension fund holds 10-year bonds of a coal company. Compared to a holder of 2-year bonds of the same company, who has greater ESG exposure?

Answer: The 10-year bondholder. ESG risks (especially environmental/transition risk) are often delayed — the company may be compliant today but face severe constraints in 5–8 years. Long-maturity debt investors have more time exposure to these future risks, whereas the short-term bondholder expects repayment before most ESG risks materialize.

Reading 22

Corporate Governance: Conflicts, Mechanisms, Risks, and Benefits

Who watches the watchers? Corporate governance is the answer — and getting it wrong is very costly.

Why This Reading Matters

Corporate governance is not just compliance box-ticking. It's the set of systems that determines whether a company's managers act in shareholders' interests or their own. Poor governance destroys value through empire-building, excessive compensation, and outright fraud. This reading is tested heavily on both the conceptual level (what is a principal-agent conflict?) and the practical level (which governance mechanism addresses which conflict?).

The Principal-Agent Problem Critical

A principal-agent relationship exists when one party (the principal) hires another party (the agent) to act on their behalf. The conflict arises because the agent's self-interest may diverge from the principal's interests.

In corporate governance, shareholders are principals; management and board members are agents. A CEO with a salary contract and no equity stake might prefer a "quiet life" (low risk, no bold moves) while shareholders want growth-maximizing risk-taking. Neither is wrong — they just have different incentives.

Agency costs are the costs of the principal-agent conflict. They have three components:

Type of Agency Cost	Description	Example
Monitoring costs	Cost of watching the agent	Board of directors fees, external audit costs, financial reporting expenses
Bonding costs	Cost of assuring principals that agent acts in their interest	Insurance policies guaranteeing performance; non-compete agreements
Residual losses	Value lost even with adequate monitoring + bonding	Suboptimal investment decisions that monitoring couldn't prevent

Common Principal-Agent Conflicts to Know Critical

1. Shareholders vs. Management

Conflict Type	What Managers May Do	Why It's Bad for Shareholders
Insufficient effort	Avoid difficult decisions, take no initiative	Suboptimal capital allocation, missed opportunities
Empire building	Pursue unnecessary acquisitions to increase firm size	Overpaying for acquisitions; compensation tied to size not returns
Entrenchment	Take inadequate risks; imitate competitors; pursue projects only they can run	Value destruction; impossibility of replacement
Self-dealing	Use company resources for personal benefit (perks, related-party deals)	Direct wealth transfer from shareholders to managers
Risk appetite mismatch	Cash-heavy managers avoid risk (job risk); option-heavy managers take too much risk	Options have no downside — management "gambles" with others' money

2. Controlling vs. Minority Shareholders

A controlling shareholder (majority owner) may push the company to pursue actions that benefit them but harm minority shareholders — such as diversifying to reduce their concentrated portfolio risk, or engaging in related-party transactions that benefit the controlling family.

Dual-class share structures exacerbate this: founders may retain super-voting shares (e.g., 10 votes/share) while public investors hold ordinary shares (1 vote/share), giving founders effective control even with <50% economic ownership. CFA Institute opposes dual-class structures.

3. Shareholders vs. Creditors

Shareholders may prefer management to take actions that increase firm risk — they capture the upside, while creditors absorb the downside. Specifically: issuing new debt (dilutes existing creditors' collateral) or increasing dividends (depletes assets that secure debt) benefit shareholders at creditors' expense.

Governance Mechanisms Exam Focus

For each stakeholder group, a different set of tools protects their interests:

Stakeholder	Primary Mechanism	Examples
Shareholders	Proxy voting; shareholder activism; takeover threat	Annual general meetings (AGM); proxy contests; hostile takeover; shareholder lawsuits; poison pills (defense)
Creditors	Bond indentures and covenants; collateral; creditor committees	Max leverage covenants; minimum interest coverage; ad hoc committees in distress
Employees	Labor laws; unions; ESOPs	Collective bargaining; employment contracts; stock ownership plans
Customers/Suppliers	Contracts; social media pressure	Service level agreements; public boycotts; supplier codes of conduct
Government	Regulation; listing requirements; governance codes	SEC filings (US); comply-or-explain governance codes (UK)

Board Committees and Their Roles

Committee	Responsibilities	Composition Requirement
Audit Committee	Financial reporting oversight; internal controls; appoint external auditor; review audit findings	Must be independent directors (required by most regulators)
Nominating/Governance Committee	Board election policies; governance code compliance; ethics policies; director nominations	Typically independent directors
Compensation Committee	Recommend director and senior manager pay; oversight of benefit plans	Must be independent — managers cannot evaluate/compensate themselves
Risk Committee	Risk policy and tolerance; enterprise-wide risk oversight (financial services)	Industry-specific; often mandated for banks

Shareholder Activism Mechanisms

Proxy contest: Activist seeks proxies from other shareholders to vote for their proposals (board nominees, strategy changes)
Tender offer: Activist bids to buy enough shares to gain control
Hostile takeover: Acquiring company bypasses board, goes directly to shareholders — discipline effect keeps management aligned
Poison pill: Existing shareholders can buy new shares at a discount if a hostile bidder crosses a threshold — dilutes the acquirer
Staggered board defense: Even after winning a proxy fight, acquirer can't replace whole board immediately — slows hostile control

Risks and Benefits of Corporate Governance

⚠️ Risks of POOR Governance

Accounting fraud or poor recordkeeping
Suboptimal risk-taking (too much or too little)
Excessive management compensation misaligned with performance
Self-dealing and related-party transactions
Regulatory violations → legal and reputational risk
Debt default / bankruptcy from poor financial management

✅ Benefits of GOOD Governance

Better operational efficiency (aligned incentives)
Lower cost of debt (reduced default risk → lower spread)
Improved financial performance
Reduced legal and regulatory risk
Greater transparency → lower cost of capital
Higher firm value over time

🎯 Exam Question

A company's CEO is also the chairman of the board, controls 55% of voting shares, and sets his own compensation. Which governance failure does this most likely represent?

Answer: Multiple governance failures. (1) Board independence — the CEO/chair dual role eliminates independent oversight of management. (2) Self-dealing in compensation — the compensation committee should be composed of independent directors, not the executive himself. (3) Controlling shareholder vs. minority conflict — 55% voting control means minority shareholders have no meaningful checks. The exam might ask which single option is the BEST description — the compensation self-setting is likely the most direct "principal-agent" violation.

🎯 Exam Question

Information asymmetry between managers and shareholders is most likely to be GREATER for which type of company?

Answer: Large, complex, multi-business companies; companies with low institutional ownership; companies with opaque financial statements; companies operating in many geographic markets. The key insight: information asymmetry is about how much managers know that shareholders DON'T know. Large/complex companies have more information that's difficult for outsiders to assess. Low institutional ownership means less sophisticated monitoring.

Reading 23

Working Capital and Liquidity

A profitable company can still go bankrupt if it can't pay its bills — liquidity is about timing, not just profitability.

Why This Reading Matters

Many students confuse profitability with liquidity. A business can earn positive accounting profits but still face a cash crisis if it carries too much inventory or its customers pay slowly. Working capital management is about optimizing the cash cycle — getting cash in quickly and paying it out efficiently. This reading is formula-heavy and directly tested with numerical questions.

The Cash Conversion Cycle (CCC) Critical

The CCC measures how many days it takes for a company to convert its investments in inventory into actual cash. It's the most tested concept in this reading.

\[ CCC = DOH + DSO - DPO \]

Where:

DOH = Days of Inventory on Hand — how long inventory sits before being sold
DSO = Days Sales Outstanding — how long until customers pay their bills
DPO = Days Payable Outstanding — how long the company takes to pay its suppliers

Think of the CCC as a cash "gap." You pay for inventory (cash goes out), wait for it to sell, wait for customers to pay you — then finally cash comes back in. The longer this cycle, the more capital is trapped in operations. Higher DPO helps because you're essentially borrowing interest-free from your suppliers.

CCC Component	To DECREASE it (shorten CCC)	Potential Downside
↓ DOH	Reduce inventory levels	Supply chain disruptions; inability to meet demand spikes
↓ DSO	Tighten customer credit terms; collect faster	Lost sales from customers who need longer credit
↑ DPO	Delay supplier payments; extend payment terms	Supplier relationship damage; may forgo early payment discounts

🎯 Exam Question

Company A has DOH = 45 days, DSO = 30 days, DPO = 20 days. Company B has DOH = 20 days, DSO = 15 days, DPO = 35 days. Which company manages its cash more efficiently?

Company B: CCC(A) = 45 + 30 − 20 = 55 days. CCC(B) = 20 + 15 − 35 = 0 days. A CCC of 0 means the company collects cash from customers before it even has to pay suppliers — like a retailer that gets paid cash immediately while paying suppliers on 35-day terms. Lower CCC = less capital trapped in operations = more efficient.

The Cost of Trade Credit Formula

Suppliers offer payment terms like "2/10 net 30" = take a 2% discount if you pay within 10 days; otherwise full payment is due in 30 days. Forgoing the discount is an implicit form of borrowing.

\[ EAR_{\text{trade credit}} = \left(1 + \frac{\text{discount}}{1 - \text{discount}}\right)^{365/(\text{net days} - \text{discount days})} - 1 \]

🎯 Exam Question

A supplier offers terms of "2/10 net 30." The bank offers a line of credit at 8%. Should the company pay early or use bank financing?

Step 1: Cost of forgoing the discount: You use $1 of financing for 30 − 10 = 20 days. You pay 2/(1 − 0.02) = 2.04% for 20 days.

EAR = (1 + 0.02/0.98)^(365/20) − 1 = (1.02041)^18.25 − 1 ≈ 44.6%

Decision: Trade credit costs 44.6% vs. bank credit at 8%. The company should borrow from the bank at 8% to pay the invoice within 10 days and capture the 2% discount.

Trap: Many students think "forgoing a 2% discount is only 2% cost." It's not — it's 2% for only 20 days, which annualizes to a much higher rate. Always annualize trade credit costs before comparing.

Liquidity: Sources and Measures Critical

Liquidity refers to a company's ability to meet short-term obligations. Sources of liquidity come in two tiers:

Primary Sources (Normal operations)

Cash and marketable securities on hand
Bank borrowings (credit lines)
Cash generated from operations (operating cash flow)

Secondary Sources (Stress signals ⚠️)

Suspending/cutting dividends
Delaying capital investments (capex)
Selling assets (often at a discount)
Issuing additional equity
Restructuring/extending debt maturities
Bankruptcy protection filing

Using secondary liquidity sources sends a negative signal to the market — it implies the company cannot fund itself through normal operations. Secondary sources are also more expensive (e.g., asset fire sales, equity dilution at depressed prices).

Liquidity Ratios Formula

Three ratios measure short-term liquidity, each more conservative than the last:

\[ \text{Current Ratio} = \frac{\text{Current Assets}}{\text{Current Liabilities}} \]

\[ \text{Quick Ratio} = \frac{\text{Cash} + \text{Marketable Securities} + \text{Receivables}}{\text{Current Liabilities}} \]

\[ \text{Cash Ratio} = \frac{\text{Cash} + \text{Marketable Securities}}{\text{Current Liabilities}} \]

Ratio	Excludes	Stringency	When to Use
Current Ratio	Nothing	Least strict	Broad view of short-term coverage
Quick Ratio	Inventory	Moderate	When inventory is illiquid or hard to sell quickly
Cash Ratio	Inventory + Receivables	Most strict	"Worst case" immediate liquidity

🎯 Exam Question

Year 1: Cash $50, Receivables $100, Inventory $200, Current Liabilities $200. Year 2: Cash $30, Receivables $80, Inventory $250, Current Liabilities $220. Compute all three liquidity ratios and interpret the trend.

Year 1: Current = (50+100+200)/200 = 1.75 | Quick = (50+100)/200 = 0.75 | Cash = 50/200 = 0.25
Year 2: Current = (30+80+250)/220 = 1.64 | Quick = (30+80)/220 = 0.50 | Cash = 30/220 = 0.14

Interpretation: All three ratios are declining — liquidity is deteriorating. The quick and cash ratios are falling faster, signaling that the deterioration is driven by rising inventory (the least liquid current asset) and falling cash.

Drags and Pulls on Liquidity

Drag on liquidity — cash inflows lag: excess inventory builds up (DOH ↑) or receivables slow (DSO ↑)
Pull on liquidity — cash outflows accelerate: suppliers demand faster payments (DPO ↓)

Working Capital Management Approaches

Conservative

High current assets + long-term financing. Lower return, higher cost of capital, but maximum liquidity and flexibility. Permanent & variable working capital funded with long-term debt/equity.

Moderate

Permanent current assets funded long-term; variable (seasonal) current assets funded short-term. Balanced risk/return tradeoff.

Aggressive

Low current assets + short-term financing. Higher return (lower cost), but vulnerable to market disruptions and rollover risk. May fail to meet obligations.

🎯 Exam Question

A firm finances an increase in accounts receivable by issuing 5-year notes. This is best described as:

Conservative working capital management. Financing a current asset (receivables) with long-term debt provides more permanent, stable funding — reducing rollover risk. An aggressive approach would fund receivables with short-term borrowings.

Reading 24

Capital Investments and Capital Allocation

Which projects to fund — and how to evaluate them — may be the most important financial decision a manager makes.

Why This Reading Matters

Capital allocation — deciding which long-term investments to undertake — is the primary driver of firm value creation over time. Get it right and you outcompete. Get it wrong and you destroy shareholder wealth. NPV and IRR are the core tools, but the exam also tests real options, ROIC, and the classic pitfalls that cause managers to make bad capital decisions. This reading bridges corporate finance with equity valuation.

Types of Capital Investments

Type	Purpose	Analysis Required	Example
Going Concern	Maintain existing business; reduce costs	Minimal — focus on whether to continue + replace equipment	Replacing an aging machine with a newer model; annual depreciation ≈ going concern capex
Regulatory/Compliance	Meet government or insurance requirements	Evaluate alternative compliance methods — no revenue generation	Installing pollution control equipment; workplace safety upgrades
Expansion	Grow the business in existing markets or enter new ones	Full analysis: forecast revenues, expenses, IRR, NPV	Opening new retail outlets; launching new product lines
Other (New Ventures)	Entirely new lines of business; acquisitions	Full analysis with high uncertainty; similar to a startup evaluation	Acquiring a company in a new industry; exploring a new technology

Analysts often use a company's annual depreciation expense as a proxy for its going concern capex needs — the idea being that you need to invest roughly what is depreciating just to stand still. Any capex above depreciation represents net new investment (growth capex).

The Capital Allocation Process

Capital allocation = evaluating projects whose cash flows extend beyond one year. The four steps:

Idea generation — the most important step; ideas come from employees, management, strategic analysis
Analyze project proposals — forecast after-tax incremental cash flows; calculate NPV and IRR
Create firm-wide capital budget — prioritize projects; consider timing, resources, strategic fit
Monitor and post-audit — compare actual vs. projected results; identify systematic forecasting errors; improve future decisions

Net Present Value (NPV) Critical

NPV is the sum of the present values of all expected incremental after-tax cash flows from a project, discounted at the firm's cost of capital (adjusted for project risk).

\[ NPV = \sum_{t=0}^{N} \frac{CF_t}{(1 + r)^t} = -CF_0 + \frac{CF_1}{(1+r)} + \frac{CF_2}{(1+r)^2} + \cdots + \frac{CF_N}{(1+r)^N} \]

NPV Result	Decision	What It Means
NPV > 0	Accept	Project adds value; expected to increase shareholder wealth
NPV = 0	Indifferent	Project earns exactly the required return; no value added or destroyed
NPV < 0	Reject	Project destroys value; expected to decrease shareholder wealth

🎯 Exam Question

A company invests $5,000 today. Expected after-tax cash flows: Year 1 = $3,000; Year 2 = $2,000; Year 3 = $2,000. Cost of capital = 10%. Should the project be accepted?

NPV = −5,000 + 3,000/1.10 + 2,000/1.10² + 2,000/1.10³
= −5,000 + 2,727.27 + 1,652.89 + 1,502.63
= −5,000 + 5,882.79 = +$882.79

Accept the project — NPV > 0, so the project is expected to add ~$883 of value to the firm. On your TI BA II Plus: CF0 = −5000; C01 = 3000; C02 = 2000; C03 = 2000; I = 10; CPT NPV.

Internal Rate of Return (IRR) Critical

IRR is the discount rate that makes NPV = 0. It represents the project's expected return as a percentage. Compare IRR to the hurdle rate (required rate of return / cost of capital).

\[ 0 = \sum_{t=0}^{N} \frac{CF_t}{(1 + IRR)^t} \]

Comparison	Decision
IRR > hurdle rate	Accept — project return exceeds cost of capital; NPV is positive
IRR = hurdle rate	Indifferent — NPV = 0
IRR < hurdle rate	Reject — project return is inadequate; NPV is negative

NPV vs. IRR: Which to Use?

NPV Advantages

Direct measure of value added in dollars
Assumes reinvestment at cost of capital (realistic)
Always gives a single answer — no ambiguity
Correct for mutually exclusive projects

IRR Advantages / Disadvantages

Intuitive — shows return as a %; gives margin of safety
❌ Assumes reinvestment at IRR (often unrealistic for high-IRR projects)
❌ Multiple IRRs possible when cash flows change sign more than once
❌ Can give wrong ranking for mutually exclusive projects

When NPV and IRR give conflicting recommendations for mutually exclusive projects, always follow NPV. NPV directly measures value added; IRR is a rate that doesn't account for project scale. A project with a higher IRR but much smaller scale may add less total value.

Return on Invested Capital (ROIC) Formula

ROIC is a firm-level (not project-level) measure that compares after-tax operating profit to the book value of total capital deployed. It tells you whether the company as a whole is earning above or below its cost of capital.

\[ ROIC = \frac{NOPAT}{\text{Average Invested Capital}} = \frac{\text{Net Operating Profit After Tax}}{\text{Long-term Debt + Equity}} \]

\[ ROIC = \text{After-tax Operating Margin} \times \text{Capital Turnover} \]

If ROIC > WACC, the company is creating value — it earns more on its capital than investors require. If ROIC < WACC, the company is destroying value even if it's profitable in absolute terms. This comparison is fundamental to equity valuation.

ROIC uses NOPAT (Net Operating Profit After Tax = Net Income + After-tax Interest Expense) because we want the return to ALL capital providers — both debt and equity holders. Never use net income alone in the ROIC numerator, as that would exclude returns to debtholders.

Principles of Capital Allocation Critical

Principle	What It Means	Common Mistake to Avoid
After-tax incremental cash flows only	Use cash flows, not accounting income; only include cash that changes because of the project	Using EPS or ROE instead of cash flows; mixing up accruals with actual cash
Ignore sunk costs	Past expenditures that cannot be recovered are irrelevant to the go/no-go decision	Including previously paid consulting fees or R&D in project cash flows
Include opportunity costs	Using a resource for this project has an implicit cost — its best alternative use	Treating "internally owned" land or equipment as free just because it's already owned
Include spillover effects	Positive externalities (new product boosts existing sales) and cannibalization (new product hurts existing sales)	Evaluating a new product in isolation without adjusting for its impact on existing product lines
Time value of money matters	Cash flows at different points in time are not equivalent — use NPV/IRR, not simple payback	Using the payback period as the primary decision tool

🎯 Exam Question

A company paid $500,000 last year for market research on a potential new product. Now they are evaluating the NPV of introducing the product. Should the $500,000 be included?

No — it is a sunk cost. The $500,000 has already been spent and cannot be recovered whether or not the company introduces the product. Including it would make the NPV look worse than it truly is and might cause the company to reject a positive-NPV project. The key test: would this cash flow change if you don't do the project? If no → exclude it.

Real Options Exam Focus

Real options are rights (but not obligations) that management has to modify a project in response to new information. They add value to NPV estimates by accounting for flexibility.

Type	Description	Example
Timing option	Right to delay a project until conditions improve	Wait to build a mine until commodity prices recover
Abandonment option	Right to shut down a project if its PV of future cash flows falls below exit value	Close a factory if the product market collapses
Expansion option	Right to invest more in a successful project	Build a modular plant that can be expanded if demand grows
Flexibility option	Rights to change operational aspects (inputs, outputs, production level)	A factory that can switch between producing two products depending on prices
Fundamental option	Projects whose payoffs depend on an underlying asset price	An oil lease — valuable only if oil prices rise above extraction costs

Real options explain why projects with negative NPV are sometimes still worth pursuing — the option value (flexibility) can outweigh the negative base NPV. Similarly, abandonment options increase the value of projects by limiting downside: if things go badly, you can cut losses.

Reading 25

Capital Structure

How a company chooses to finance itself — and whether that choice actually matters.

Why This Reading Matters

Capital structure is one of the most debated topics in corporate finance. Does the mix of debt and equity matter for firm value? Modigliani and Miller famously said "no" (under perfect market assumptions), but real-world frictions — taxes, bankruptcy costs, information asymmetry, agency costs — change the answer. The exam tests both the theoretical framework (MM Propositions) and the practical application (what factors drive companies to use more or less debt).

The Weighted-Average Cost of Capital (WACC) Critical

WACC is the minimum required return that a company must earn on its assets to satisfy all capital providers. It blends the after-tax cost of debt and the cost of equity, weighted by their proportions in the capital structure.

\[ WACC = w_d \cdot r_d \cdot (1 - t) + w_e \cdot r_e \]

Where: $w_d$ = weight of debt, $r_d$ = pretax cost of debt, $t$ = corporate tax rate, $w_e$ = weight of equity, $r_e$ = cost of equity.

Debt is cheaper than equity for two reasons: (1) debtholders have priority claims (less risk → lower required return) and (2) interest is tax-deductible (the government subsidizes debt financing). The WACC "blends" these two costs, weighted by how much of each is used.

🎯 Exam Question

Alpaca Inc. has 60% debt, pretax cost of debt = 6%, cost of equity = 12%, corporate tax rate = 15%. Calculate WACC.

Weight of equity = 1 − 0.60 = 40%
WACC = [0.60 × 0.06 × (1 − 0.15)] + [0.40 × 0.12]
= [0.60 × 0.06 × 0.85] + [0.40 × 0.12]
= 0.0306 + 0.0480 = 7.86%

Common trap: Forgetting to apply (1 − t) to the cost of debt. Debt interest is tax-deductible, so the after-tax cost of debt is r_d × (1 − t), not just r_d.

Factors Affecting Capital Structure

Companies choose capital structures based on their ability to service debt. The key question is: can this company reliably generate cash to make interest and principal payments?

Factor	More Debt Capacity	Less Debt Capacity
Revenue stability	Stable, subscription-based, non-cyclical	Volatile, cyclical, project-based
Cash flow predictability	Recurring, growing cash flows	Erratic, declining, or negative cash flows
Asset type	Tangible, liquid assets (good collateral)	Intangible assets (patents, brand — poor collateral)
Operating leverage	Low fixed costs relative to variable	High fixed costs (airlines, manufacturers)
Business risk	Low uncertainty in revenues/costs	High uncertainty (startups, commodity producers)
Life cycle stage	Mature stage: stable, proven business	Start-up: negative cash flows, few assets

Life Cycle and Debt Usage

Start-up Stage

Negative/uncertain cash flows; few tangible assets for collateral; high business risk → financed almost entirely by equity. Exception: convertible debt (lower-cost equity dilution hedge).

Growth Stage

Rising revenues, decreasing uncertainty; beginning to generate cash flows. Conservative debt usage begins — often secured by fixed assets or receivables.

Mature Stage

Stable, predictable cash flows; established asset base. Significantly more debt — including unsecured debt — available at relatively low cost.

Modigliani-Miller Propositions Critical

MM is tested conceptually — you need to understand why their propositions hold and what happens when assumptions are relaxed.

MM Proposition I (No Taxes): Capital Structure Irrelevance

Under perfect capital markets (no taxes, no bankruptcy costs, no transaction costs, symmetric information), a firm's value is independent of its capital structure.

MM I is the "pizza analogy": the total amount of pizza (firm value) is fixed. It doesn't matter how you slice it (proportion of debt vs. equity) — the total amount doesn't change. One holder owning all debt AND all equity would always be entitled to all the operating earnings — same as an all-equity firm with the same assets.

MM Proposition II (No Taxes): Cost of Equity and Leverage

As debt increases, the cost of equity rises proportionally — exactly offsetting the lower cost of debt, so WACC remains constant.

\[ r_e = r_0 + \frac{D}{E}(r_0 - r_d) \]

Where $r_0$ = required return for all-equity firm (cost of unlevered equity), D/E = debt-to-equity ratio, $r_d$ = cost of debt.

MM II (no taxes): As leverage increases, cost of equity RISES linearly. WACC stays CONSTANT. Debt is cheaper, but equity gets riskier — the two effects exactly cancel. This means there is NO optimal capital structure under MM I and II (no taxes).

MM With Taxes: The Tax Shield Matters

Interest payments are tax-deductible. This creates a "debt tax shield" — a real benefit to using debt. Under MM with taxes:

Firm value = Unlevered firm value + PV of tax shield
PV of tax shield = $t_c \times D$ (for permanent debt)
WACC decreases as debt increases (tax benefit makes debt even cheaper)
Implication: Optimal capital structure = 100% debt (clearly unrealistic!)

MM with taxes says 100% debt maximizes firm value — but this is clearly wrong in practice. The model ignores bankruptcy costs and financial distress costs. That's exactly what static tradeoff theory fixes.

Static Tradeoff Theory Critical

Static tradeoff theory extends MM with taxes by adding the expected costs of financial distress. Firm value is maximized at the point where the marginal tax benefit of debt equals the marginal expected cost of financial distress.

\[ V_L = V_U + PV(\text{Tax Shield}) - PV(\text{Financial Distress Costs}) \]

Think of debt as a drug with benefits and side effects. At low doses: tax savings dominate → take more. At high doses: bankruptcy risk rises sharply → costs outweigh benefits. The optimal "dosage" is the point where marginal benefit = marginal cost. That's the static tradeoff optimum.

As Debt Increases…	Tax Shield Effect	Financial Distress Effect	Net Impact on Firm Value
Low debt levels	Tax savings are significant; distress cost is very low	Minimal — low probability of financial distress	Firm value increases
Moderate debt levels	Tax savings still positive	Distress costs starting to rise	Firm value still increasing but at slower rate
High debt levels	Tax savings marginal	Distress costs escalate rapidly	Firm value peaks then decreases
Optimal point	Marginal tax benefit = marginal distress cost		Maximum firm value / minimum WACC

Pecking Order Theory and Free Cash Flow Hypothesis

These two theories explain why companies deviate from their theoretical optimal capital structure in practice.

Pecking Order Theory

Based on information asymmetry: managers know more than investors. Financing choices send signals:

Order of preference:

Internal funds (retained earnings) — most preferred, no signal sent
Debt — negative signal, but mild; signals confidence in cash flows
New equity — most avoided; signals stock is overvalued

Implication: Capital structure is a by-product of financing decisions, not an optimized target.

Free Cash Flow Hypothesis

Based on agency costs. Free cash flow = cash available after all positive-NPV projects are funded.

Problem: Managers may waste free cash flow on empire-building or perks.

Solution: Debt disciplines managers — required interest payments reduce free cash flow available for waste. Higher leverage → lower agency costs of equity.

Implication: Debt can create value beyond just the tax shield.

🎯 Exam Question

A company's CFO says: "We prefer to fund new investments with retained earnings first, then debt if needed, and we would only issue equity as a last resort." This best reflects which theory?

Pecking order theory. The hierarchy — internal funds first, then debt, then external equity — is the defining feature. The rationale is information asymmetry: issuing equity signals management believes the stock is overvalued (a negative signal), so it's avoided. Debt sends a more positive signal (confidence in future cash flows to service it).

🎯 Exam Question

According to MM Proposition II with no taxes, if a company increases its debt-to-equity ratio, its WACC will most likely:

Remain unchanged. Under MM II (no taxes), as D/E increases: cost of equity rises proportionally (equity holders bear more risk), but WACC stays constant because the cheaper debt is exactly offset by more expensive equity. This changes under MM with taxes — then WACC decreases as leverage increases (tax shield benefit).

Reading 26

Business Models

How a company answers "who are my customers, what do I sell, how do I sell it, and at what price?" determines whether it has a sustainable competitive advantage.

Why This Reading Matters

Business models are the starting point of equity analysis. Before you can forecast cash flows or value a company, you need to understand how it creates value, for whom, and at what margins. The CFA exam tests your ability to classify pricing strategies and business model types — and to identify network effects, which are a key source of competitive moat for modern technology businesses.

Key Elements of a Business Model

A business model answers five fundamental questions: Who, What, How, Where, and How Much.

Question	Element	What It Covers
Who?	Customer segments	Target customer groups (segmentation); customer acquisition cost; how satisfaction is monitored. B2B (sells to businesses) vs. B2C (sells to consumers).
What?	Product/service offering	What need does the product meet? How is it differentiated from competitors (price, quality, features)?
How?	Key assets and suppliers	What resources drive the business? (patents, software, employees, equipment) Who are critical suppliers?
Where?	Channel strategy	Direct sales vs. intermediaries (retailers, agents, franchisees); online vs. physical; omnichannel = both digital and physical channels
How Much?	Pricing strategy	Why will buyers pay this price? What's the competitive landscape?

Value Proposition vs. Value Chain

Value proposition: How customers value the product/service given its price and competitive alternatives — the promise of value
Value chain: How the firm executes its value proposition — the delivery of value (Porter's 5 activities: inbound logistics → operations → outbound logistics → marketing → sales & service)

Pricing Strategies Exam Focus

The exam frequently tests whether you can identify the correct pricing model from a description. Know these precisely:

Pricing Strategy	Description	Example
Price-taking (commodity)	No pricing power; market sets the price	Oil producers, home loans, wheat farmers
Pricing power	Can set premium prices due to differentiation or limited competition	Patented pharmaceutical; luxury brand
Tiered pricing	Different prices for different volume levels	Bulk discounts; telecom data plans
Dynamic pricing	Prices change based on time, demand, or availability	Airline tickets; surge pricing (Uber); hotel rates
Value-based pricing	Price reflects perceived customer benefit	New drug priced relative to benefit vs. existing treatment
Auction pricing	Price set by competitive bidding	eBay; Google ad auctions; spectrum licenses
Bundling	Multiple complementary products sold together	Furnished apartment; Microsoft Office suite
Razors-and-blades	Sell core product cheap (low margin); profit on consumables	Printers (cheap) + ink cartridges (high margin); e-readers + e-books
Add-on pricing	Upsell high-margin extras after the purchase decision	Car options after agreeing to buy a base model; resort fees at hotels
Penetration pricing	Low/loss-leading price initially to build market share, then raise prices	Netflix early growth strategy; new SaaS platforms
Freemium	Basic product free; charge for premium features/functionality	Spotify free tier; LinkedIn free vs. Premium; video game upgrades
Hidden revenue	Product is "free" to users; revenue from third parties (advertisers, data buyers)	Google Search (free to users; revenue from advertisers)
Subscription	Recurring fee for access	Microsoft 365; Netflix; SaaS software
Licensing/Franchising	Fee for right to use IP, brand, or process	Biotech licensing a drug to a pharma company; McDonald's franchise

🎯 Exam Question

A software company offers its application for free with basic features. Users pay $15/month to unlock collaboration tools and cloud storage. This pricing model is best described as:

Freemium pricing. The defining feature is: basic functionality FREE, premium features for a fee. Do not confuse with subscription (which charges from the start) or penetration pricing (which is a temporary low price for the full product to gain market share, not a permanent two-tier free/paid structure).

🎯 Exam Question

An internet search engine provides free search results to users and earns revenue by selling data about user behavior to advertisers. This is best described as:

Hidden revenue model. The user perceives the service as free, but the real "product" being sold is the user's attention/data to advertisers. This is distinct from freemium (where premium features are sold to the users themselves) or a subscription model.

Business Model Types Exam Focus

Model Type	Description	Key Characteristics
Private label / Contract manufacturer	Produces goods for another brand to sell under their own name	Costco's Kirkland brand; generic drug manufacturers
Value-added reseller	Resells products but adds installation, support, or customization	IT systems integrators; machinery distributors with maintenance contracts
Licensing	Brand or IP used by another company in exchange for fees	Marvel characters on lunch boxes; drug patents licensed to pharma companies
Franchise	Franchisee pays % of revenue to franchisor for right to use brand/system in a territory	McDonald's; Subway; real estate brokerages
Network effects	Value increases as more users join — creates competitive moat	WhatsApp; Facebook; eBay; payment networks
Crowdsourcing	Platform leverages user-generated content to create value	Wikipedia (knowledge); Waze (traffic); open-source software (code)

Network Effects in Detail Critical

Network effects are one of the most powerful sources of competitive advantage in modern business. As the user base grows, the network becomes more valuable to all users — creating a virtuous cycle.

One-sided networks: Value rises as more users of the same type join (WhatsApp — more contacts = more useful)
Two-sided (multi-sided) networks: Two distinct user groups benefit from each other's growth (Airbnb: more hosts attract more guests; more guests attract more hosts; Uber: more drivers attract more riders)

Network effects naturally support penetration pricing strategy — the company sacrifices early profits to build its user base quickly. Once the network is large enough, it becomes very difficult for competitors to displace (switching costs + network value lock users in). This is why WhatsApp, Facebook, and eBay are so hard to dislodge despite new entrants.

🎯 Exam Question

A new ride-hailing app enters the market and prices rides at a loss to grow its user base quickly. The company hopes that once it reaches critical mass, the value of the platform will make it difficult for competitors to steal its users. Which combination of strategy and model does this best describe?

Penetration pricing + two-sided network effects. Penetration pricing = temporarily low (loss-making) prices to grow market share. The competitive advantage being built is a two-sided network: more riders attract more drivers (and vice versa). Once both sides of the network are large enough, no competitor can easily replicate the liquidity of the established platform.

Quick Reference

Corporate Issuers Formula Sheet

All key formulas in one place — with the reading number for quick look-up.

Formula	Name / Description	Reading
$t_{eff} = t_c + t_p(1-t_c)$	Effective tax rate on corporate profits (double taxation)	20
$ROE = \frac{\text{Net Income}}{\text{Equity}}$	Return on equity (leverage amplifies this)	21
$r_e = r_0 + \frac{D}{E}(r_0 - r_d)$	MM Proposition II: Cost of equity with leverage	25
$CCC = DOH + DSO - DPO$	Cash Conversion Cycle	23
$EAR = \left(1 + \frac{d}{1-d}\right)^{365/(c-b)} - 1$	Effective annual rate of trade credit (a/b net c terms; d = discount rate)	23
$\text{Current Ratio} = \frac{CA}{CL}$	Current ratio (least strict liquidity measure)	23
$\text{Quick Ratio} = \frac{\text{Cash}+\text{Mkt Sec}+\text{Rec}}{CL}$	Quick ratio (excludes inventory)	23
$\text{Cash Ratio} = \frac{\text{Cash}+\text{Mkt Sec}}{CL}$	Cash ratio (most strict)	23
$NPV = \sum_{t=0}^{N} \frac{CF_t}{(1+r)^t}$	Net Present Value	24
$0 = \sum_{t=0}^{N} \frac{CF_t}{(1+IRR)^t}$	IRR (discount rate making NPV = 0)	24
$ROIC = \frac{NOPAT}{\text{Avg Invested Capital}}$	Return on Invested Capital	24
$ROIC = \text{After-tax Op. Margin} \times \text{Capital Turnover}$	DuPont decomposition of ROIC	24
$WACC = w_d r_d(1-t) + w_e r_e$	Weighted-Average Cost of Capital	25
$V_L = V_U + t_c D$	MM with taxes: Levered firm value (PV of tax shield = $t_c D$)	25
$V_L = V_U + PV(\text{Tax Shield}) - PV(\text{Distress Costs})$	Static Tradeoff Theory: Optimal capital structure	25
$\text{Interest Coverage} = \frac{EBIT}{\text{Interest Expense}}$	Coverage ratio for debt capacity analysis	25

Common Exam Traps — Corporate Issuers

Trap	Correct Understanding
Adding corporate and personal tax rates for double taxation	Use formula: $t_c + t_p(1-t_c)$ — personal tax only applies to after-corporate-tax profits
Treating a direct listing as raising new capital	Direct listing lists EXISTING shares — zero new capital raised; no underwriter used
Thinking a SPAC must identify its target at IPO	SPAC = "blank check company" — raises money first, finds acquisition target later
Higher leverage always helps equity holders	Only when ROA > cost of debt; leverage amplifies losses too — harmful when ROA < cost of debt
Trade credit is cheap ("only 2% discount")	Must annualize: 2% for 20 days annualizes to ~44.6% — almost always expensive vs. bank financing
Including sunk costs in NPV analysis	Sunk costs = already spent, can't be recovered — completely irrelevant to the accept/reject decision
NPV and IRR always agree	They agree on accept/reject for independent projects. For mutually exclusive projects, NPV can differ from IRR rankings — always use NPV for final decision
MM says debt is always better because of tax shields	MM WITH taxes says 100% debt maximizes value — unrealistic because it ignores bankruptcy/distress costs (static tradeoff fixes this)
MM II says WACC decreases as leverage increases	MM II with NO taxes: WACC is CONSTANT (rising cost of equity offsets cheaper debt). MM WITH taxes: WACC decreases as leverage increases (tax shield not offset by distress costs in the basic model)
Pecking order prefers debt over equity	Correct — but the #1 preference is internal funds (retained earnings), not debt
Classifying a shutdown plant as a governance issue	Stranded asset from new regulations = Environmental ESG factor, not governance
Assuming all current assets are equally liquid	Inventory is the LEAST liquid current asset — that's why quick ratio excludes it; cash ratio excludes both inventory and receivables

Formula	Name / Description	Reading
\(t_{eff} = t_c + t_p(1-t_c)\)	Effective tax rate on corporate profits (double taxation)	20
\(ROE = \frac{\text{Net Income}}{\text{Equity}}\)	Return on equity (leverage amplifies this)	21
\(r_e = r_0 + \frac{D}{E}(r_0 - r_d)\)	MM Proposition II: Cost of equity with leverage	25
\(CCC = DOH + DSO - DPO\)	Cash Conversion Cycle	23
\(EAR = \left(1 + \frac{d}{1-d}\right)^{365/(c-b)} - 1\)	Effective annual rate of trade credit (a/b net c terms; d = discount rate)	23
\(\text{Current Ratio} = \frac{CA}{CL}\)	Current ratio (least strict liquidity measure)	23
\(\text{Quick Ratio} = \frac{\text{Cash}+\text{Mkt Sec}+\text{Rec}}{CL}\)	Quick ratio (excludes inventory)	23
\(\text{Cash Ratio} = \frac{\text{Cash}+\text{Mkt Sec}}{CL}\)	Cash ratio (most strict)	23
\(NPV = \sum_{t=0}^{N} \frac{CF_t}{(1+r)^t}\)	Net Present Value	24
\(0 = \sum_{t=0}^{N} \frac{CF_t}{(1+IRR)^t}\)	IRR (discount rate making NPV = 0)	24
\(ROIC = \frac{NOPAT}{\text{Avg Invested Capital}}\)	Return on Invested Capital	24
\(ROIC = \text{After-tax Op. Margin} \times \text{Capital Turnover}\)	DuPont decomposition of ROIC	24
\(WACC = w_d r_d(1-t) + w_e r_e\)	Weighted-Average Cost of Capital	25
\(V_L = V_U + t_c D\)	MM with taxes: Levered firm value (PV of tax shield = \(t_c D\))	25
\(V_L = V_U + PV(\text{Tax Shield}) - PV(\text{Distress Costs})\)	Static Tradeoff Theory: Optimal capital structure	25
\(\text{Interest Coverage} = \frac{EBIT}{\text{Interest Expense}}\)	Coverage ratio for debt capacity analysis	25

Trap	Correct Understanding
Adding corporate and personal tax rates for double taxation	Use formula: \(t_c + t_p(1-t_c)\) — personal tax only applies to after-corporate-tax profits
Treating a direct listing as raising new capital	Direct listing lists EXISTING shares — zero new capital raised; no underwriter used
Thinking a SPAC must identify its target at IPO	SPAC = "blank check company" — raises money first, finds acquisition target later
Higher leverage always helps equity holders	Only when ROA > cost of debt; leverage amplifies losses too — harmful when ROA < cost of debt
Trade credit is cheap ("only 2% discount")	Must annualize: 2% for 20 days annualizes to ~44.6% — almost always expensive vs. bank financing
Including sunk costs in NPV analysis	Sunk costs = already spent, can't be recovered — completely irrelevant to the accept/reject decision
NPV and IRR always agree	They agree on accept/reject for independent projects. For mutually exclusive projects, NPV can differ from IRR rankings — always use NPV for final decision
MM says debt is always better because of tax shields	MM WITH taxes says 100% debt maximizes value — unrealistic because it ignores bankruptcy/distress costs (static tradeoff fixes this)
MM II says WACC decreases as leverage increases	MM II with NO taxes: WACC is CONSTANT (rising cost of equity offsets cheaper debt). MM WITH taxes: WACC decreases as leverage increases (tax shield not offset by distress costs in the basic model)
Pecking order prefers debt over equity	Correct — but the #1 preference is internal funds (retained earnings), not debt
Classifying a shutdown plant as a governance issue	Stranded asset from new regulations = Environmental ESG factor, not governance
Assuming all current assets are equally liquid	Inventory is the LEAST liquid current asset — that's why quick ratio excludes it; cash ratio excludes both inventory and receivables