Comprehensive Study Guide for Valuation Concepts and Methodologies (2021 Edition)

CHAPTER 1: FUNDAMENTAL PRINCIPLES OF VALUATION

  • Definition of Assets and Value: Assets, individually or collectively, have value. Generally, value pertains to the worth of an object in another person's point of view. Any kind of asset can be valued, though the degree of effort varies. Real estate valuation methods may differ from business valuation methods.

  • Capital as a Scarce Resource: Businesses treat capital as a scarce resource they must compete to obtain and manage efficiently. Capital providers require users to maximize shareholder returns to justify providing capital; otherwise, capital will be moved to more attractive opportunities.

  • The Fundamental Principle: The most fundamental principle for all investments and businesses is to maximize shareholder value. This has a domino effect on the economy, providing long-term sustainability, higher economic output, productivity gains, employment growth, and higher salaries.

  • Investment Success: Success in investments depends on understanding the prevailing value and the key drivers influencing it. An increase in value implies that shareholder capital is maximized.

  • Valuation Definition (CFA Institute): Valuation is the estimation of an asset's value based on variables perceived to be related to future investment returns, on comparisons with similar assets, or, when relevant, on estimates of immediate liquidation proceeds. It involves forecasts and implicit decisions, such as capital budgeting analysis.

  • Professional Judgment: Valuation places great emphasis on professional judgment. Because it deals with future projections, analysts must hone their ability to balance assumptions, assess empirical evidence validity, and make rational choices.

  • The Marshall Equation of Value: Popularized by Alfred Marshall, this principle states that a company creates value if and only if the return on capital invested exceeds the cost of acquiring capital. From the shareholder's perspective, value is the difference between cash inflows generated and the cost of capital (incorporating time value of money and risk premium).

  • Major Factors of Business Value:

    1. Current Operations: Operating performance in recent years.

    2. Future Prospects: The long-term strategic direction of the company.

    3. Embedded Risk: The business risks involved in running the firm.

  • Interpreting Different Concepts of Value:

    • Intrinsic Value: The value based on a hypothetical complete understanding of an asset's characteristics. It is the "true" or "real" value that becomes market value when other investors reach the same conclusion. If market prices perfectly reflect intrinsic value, intrinsic value equals market price.

    • Grossman-Stiglitz Paradox: This paradox states that if market prices perfectly reflect intrinsic value (and are free to obtain), rational investors will not spend money to gather data to validate the stock. Thus, market price often does not approximate intrinsic value because investors only gather information when a reward is expected.

    • Going Concern Value: The value determined under the assumption that the entity will continue business activities into the foreseeable future, realizing assets and paying obligations in the normal course.

    • Liquidation Value: The net amount realized if the business is terminated and assets are sold piecemeal. It is the base floor price and is particularly relevant for firms in financial distress. Value often declines in liquidation because human capital and the synergy of assets working together are absent.

    • Fair Market Value: The price, in cash, at which property would change hands between a hypothetical willing buyer and willing seller in an arm's length transaction in an open market, without compulsion and with reasonable knowledge of facts. It is often used for tax assessments.

  • Roles of Valuation in Business:

    • Portfolio Management:

      • Fundamental Analysts: Interested in measuring intrinsic value based on financial strength, profitability, and risk (fundamentals). They use growth prospects and cash flows to identify overvalued or undervalued stocks.

      • Active Investors: Participate intelligently based on valuation knowledge.

      • Activist Investors: Look for companies with good prospects but poor management to conduct "takeovers" and force management changes.

      • Chartists: Rely on trading KPIs like price movements and volume (investor psychology) rather than rational analysis, though valuation helps plot support and resistance lines.

      • Information Traders: React based on new information and predict market reactions.

    • Analysis of Business Transactions/Deals: Used to estimate target firm values, understand synergies, and set deal prices for acquisitions, mergers, divestitures, spin-offs, and leveraged buyouts.

    • Corporate Finance: Managing capital structure and prioritizing resources to maximize firm value. Used by small firms for venture capital and large firms for IPO pricing.

    • Legal and Tax Purposes: Identifying buy-in/sell-out values for partners, dissolution, liquidation, or estate tax purposes.

  • The Valuation Process (5 Steps):

    1. Understanding the Business: Performing industry and competitive analysis (economic conditions, strategy, historical performance).

      • Porter's Five Forces: Industry Rivalry, New Entrants, Substitutes and Complements, Supplier Power, and Buyer Power.

      • Competitive Position: Gauged by market share and corporate strategies like Cost Leadership, Differentiation, or Focus.

    2. Forecasting Financial Performance:

      • Top-down approach: Starts with macroeconomic projections (GDP, inflation) then moves to industry and firm levels.

      • Bottom-up approach: Starts with lower-level units (store expansions, product availability) and consolidates them into company-level revenue.

    3. Selecting the Right Valuation Model: Depends on the context and company characteristics.

    4. Preparing the Model based on Forecasts:

      • Sensitivity Analysis: How changes in an input (sales growth, discount rates) affect the outcome.

      • Scenario Modeling: Adjusting for control premiums, lack of marketability discounts, or illiquidity discounts.

    5. Applying Conclusions and Recommendations: Using results to suit investment objectives.

  • Key Principles in Valuation:

    1. Value is defined only at a specific point in time.

    2. Value varies based on the ability to generate future cash flows.

    3. Market dictates the appropriate rate of return (market forces).

    4. Firm value is impacted by underlying net tangible assets.

    5. Value is influenced by the transferability of future cash flows.

    6. Value is impacted by liquidity (demand and supply).

CHAPTER 2: ASSET-BASED VALUATION

  • Definition: Asset-based valuation attributes the value of the company to the value of its assets. It yields economic benefits from past transactions. It is useful for validating firm value through current and historical asset figures.

  • Types of Investments:

    • Green field: Investments started from scratch (pure estimates).

    • Brown field: Opportunities that are partially or fully operational; they are Going Concern Business Opportunities (GCBOs).

  • Book Value Method: Based on values recorded in accounting records (Balance Sheet).

    • Formula: NetBookValueofAssets=TotalAssets−TotalLiabilitiesNumberofOutstandingSharesNet Book Value of Assets = \frac{Total Assets - Total Liabilities}{Number of Outstanding Shares}

    • Advantage: Transparent and verifiable.

    • Limitation: Reflects historical value only and may not reflect current business reality.

  • Replacement Value Method: Adjusts individual asset values to reflect the cost of a similar asset with the nearest equivalent value as of the valuation date.

    • Factors: Asset age, size, and competitive advantage.

    • Formula: ReplacementValuepershare=NetBookValue+ReplacementAdjustmentOutstandingSharesReplacement Value per share = \frac{Net Book Value + Replacement Adjustment}{Outstanding Shares}

  • Reproduction Value Method: Estimates the cost of reproducing, creating, or manufacturing a similar asset internally. Useful for specialized/internally developed equipment, start-ups, or firms heavy in intangible assets.

  • Liquidation Value Method: Considers the salvage value or net amount gathered if the business is shut down. It is the most conservative approach.

CHAPTER 3: LIQUIDATION-BASED VALUATION

  • Liquidation Value: The value of a company if it were dissolved and its assets sold individually (piecemeal). Also known as net asset value.

  • Situations for Liquidation Value:

    1. Business Failure: Negative returns leading to insolvency (cannot pay liabilities as they come due) or bankruptcy (liabilities exceed assets).

    2. Corporate/Project End of Life: Joint ventures or firms with finite lives stated in Articles of Incorporation.

    3. Depletion of Scarce Resources: Mining or oil companies where resources are exhausted.

  • General Principles:

    • Used if liquidation value is higher than income-based (going-concern) value.

    • Non-operating assets are always valued by the liquidation method.

    • Used if business continuity depends on management that will not stay.

    • Market price per share should never be below book value per share if assets are reported accurately.

  • Types of Liquidation:

    • Orderly Liquidation: Assets sold strategically over a reasonable time to generate the most money.

    • Forced Liquidation: Assets sold as quickly as possible (e.g., auction/rush sale), usually due to legal pressure or bankruptcy, resulting in lower prices.

  • Calculation:

    • LiquidationValue=PVofSaleofAssets−PVofCostsforTermination/Settlement−PVofTax/OtherLiquidationCostsLiquidation Value = PV of Sale of Assets - PV of Costs for Termination/Settlement - PV of Tax/Other Liquidation Costs

CHAPTER 4: INCOME-BASED VALUATION

  • Core Theory: The best estimate for value is the returns or income an asset will yield. It considers the Dividend Irrelevance Theory (Modigliani-Miller: dividends don't affect price) vs. Bird-in-the-Hand Theory (dividend relevance: dividends impact price).

  • Cost of Capital (Ke):

    • WACC Formula: WACC=(ke×we)+(kd×wd)WACC = (k_e \times w_e) + (k_d \times w_d)

    • CAPM Formula: Ke=Rf+β×(Rm−Rf)K_e = R_f + \beta \times (R_m - R_f) where RfR_f is risk-free rate, β\beta is beta (volatility), and RmR_m is market return.

    • Cost of Debt: kd=Rf+DMk_d = R_f + DM (where DM is debt margin).

  • Economic Value Added (EVA): Measures the ability to support cost of capital using earnings.

    • Formula: EVA=Earnings−CostofCapitalEVA = Earnings - Cost of Capital

    • Cost of Capital Formula: CostofCapital=InvestmentValue×RateofCostofCapitalCost of Capital = Investment Value \times Rate of Cost of Capital

  • Capitalization of Earnings Method: Determines value using anticipated earnings divided by the capitalization rate.

    • Formula: EquityValue=FutureEarningsRequiredReturnEquity Value = \frac{Future Earnings}{Required Return}

    • If earnings vary, use the average of anticipated cash flows.

    • Idle assets must be added to the capitalized earnings value: AdjustedEquityValue=CapitalizedEarnings+IdleAssetsAdjusted Equity Value = Capitalized Earnings + Idle Assets

CHAPTER 5: DISCOUNTED CASH FLOWS (DCF) METHOD

  • Definition: Present value of projected net cash flows. It is preferred when dividends are not paid, payout differs from capacity, or the investor has control.

  • Net Cash Flow to Firm (NCFF): Cash available to both lenders and shareholders.

    • NCFF=NetIncome+Non−CashCharges+Interest(1−Tax)−ΔWorkingCapital−NetCapitalExpenditureNCFF = Net Income + Non-Cash Charges + Interest(1-Tax) - \Delta Working Capital - Net Capital Expenditure

    • Non-Cash Charges: Depreciation, amortization, restructuring charges, and provisions for doubtful accounts.

  • Net Cash Flow to Equity (NCFE): Cash available specifically to common shareholders.

    • NCFE=NCFF+NewDebtBorrowing−DebtService+PreferredIssuance−PreferredDividendsNCFE = NCFF + New Debt Borrowing - Debt Service + Preferred Issuance - Preferred Dividends

  • Terminal Value (TV): Represents value in perpetuity.

    • Method 2: Perpetual Value Formula: TV=CFn+1r−gTV = \frac{CF_{n+1}}{r - g} where rr is cost of capital and gg is growth rate.

  • Growth Drivers in Financial Models:

    • Inflation: Inflation=(CPI1CPI0−1)×100%Inflation = (\frac{CPI_1}{CPI_0} - 1) \times 100\%.

    • Population Growth: Used for demand forecasting.

    • Compounded Annual Growth Rate (CAGR): g=(NCFnNCF0)1n−1×100%g = (\frac{NCF_n}{NCF_0})^{\frac{1}{n}} - 1 \times 100\%.

CHAPTER 6: MARKET VALUE APPROACH

  • Definition: Value determined by reference to comparable guideline companies where transaction values are known.

  • Comparative Transaction Method: Finding prior M&A or divestiture data for comparable companies using databases like IBA, BIZCOMPS, or Mergerstat.

  • Guideline Public Company Method: Identifying a comparable public company and using its listed stock price.

  • Comparable Company Analysis (Ratios):

    • Price/Earnings (P/E) Ratio: MarketValuePerShareEarningsPerShare\frac{Market Value Per Share}{Earnings Per Share}

    • Book-to-Market Ratio: NetBookValuePerShareMarketValuePerShare\frac{Net Book Value Per Share}{Market Value Per Share}

    • Dividend-Yield Ratio: DividendPerShareMarketValuePerShare\frac{Dividend Per Share}{Market Value Per Share}

    • EBITDA Multiple: MarketValuePerShareEBITDAPerShare\frac{Market Value Per Share}{EBITDA Per Share}

  • Heuristic Pricing Rules Method: Uses pricing formulas developed by professional practitioners (business intermediaries/brokers) based on marketplace knowledge.

CHAPTER 7: OTHER CONCEPTS AND TECHNIQUES

  • Due Diligence: Validating representations made by a seller to minimize investment risk.

    • Hard Due Diligence: Quantitative data, financial statement audits, EBITDA review, litigation/antitrust review.

    • Soft Due Diligence: Qualitative factors; internal organization, corporate culture, leadership, human capital (competencies, motivation), and customer relationships.

  • Mergers and Acquisitions (M&A):

    • Merger: Two companies combine to form a new entity.

    • Acquisition: One company takes over another.

    • Types: Horizontal (same industry), Vertical (value chain related), Conglomerate (unrelated), Statutory (name retained), Subsidiary (consolidation of units).

  • Divestiture: Disposal of entity assets or segments.

    • Partial Sell-off: Selling a subsidiary to raise capital.

    • Equity Carve-out: IPO of up to 20% of a subsidiary; parent retains control.

    • Spin-off: New independent company formed; shares distributed to existing shareholders; no cash generated.

    • Split-off: Shareholders exchange parent shares for new company shares; reduces outstanding shares.

  • ROI-Based Valuation: Quick method where Value=InvestmentAmountOwnershipStake%Value = \frac{Investment Amount}{Ownership Stake \%}.

  • Dividend Paying Capacity Method: Capitalizes estimated future dividends using weighted average yields of comparable companies.