Valuation (finance) Study Guide

📖 Core Concepts Valuation – Estimating the economic worth of an asset, business, security, or liability. Used for investment decisions, M&A, reporting, tax, and litigation. Value Terms Market value – Price an asset would fetch in an open‑market transaction. Fair value – Price received to sell an asset (or paid to transfer a liability) in an orderly transaction; often a regulatory measurement. Intrinsic value – Analyst’s estimate of “true” worth, usually via discounted cash‑flow (DCF) analysis. Valuation Approaches Discounted Cash‑Flow (DCF) – Present‑value of expected future cash flows. Relative (Comparable) Valuation – Apply market multiples from peer firms. Contingent Claim (Option‑Pricing) – Value assets with option‑like features (e.g., warrants, real options). Net Asset Value (NAV) – Sum market values of assets minus liabilities; gives a floor value. Key Inputs – Cash‑flow forecasts, discount rate (risk‑adjusted cost of capital), comparable multiples, and transparent assumptions. Time Value of Money – A dollar today is worth more than a dollar tomorrow because it can be invested and earn a return. --- 📌 Must Remember Discounted cash‑flow formula: $$PV = \sum{t=1}^{n} \frac{CFt}{(1+r)^t}$$ where \(CFt\) = cash flow in period t, \(r\) = discount rate. Gordon Growth (single‑period) model: $$P = \frac{D1}{k - g}$$ \(D1\) = next‑year dividend, \(k\) = required return, \(g\) = constant growth rate. Common multiples: P/E, P/B, P/S, price‑per‑subscriber. Multiply the target’s metric by the average peer multiple. Risk premium: Higher‑risk projects → higher discount rate. Guideline companies: Use recent sale or market valuations of truly comparable firms. Mismarking = assigning a false price that deviates from the true market price; inflates NAV and misleads investors. Hidden losses arise when mis‑marking or poor fair‑value estimates conceal true performance. --- 🔄 Key Processes DCF Valuation (Multi‑period) Forecast free cash flow (FCF) for each projection year. Estimate a terminal value (e.g., Gordon growth). Determine the appropriate discount rate (WACC or cost of equity). Discount each cash flow and terminal value to present value using the formula above. Sum discounted cash flows → intrinsic value. Relative Valuation (Comparable Company Analysis) Identify a set of truly comparable (“guideline”) firms. Compute relevant multiples (e.g., P/E) for each peer. Average the multiples (median often preferred). Multiply the target’s corresponding metric (e.g., earnings) by the average multiple. Contingent Claim Valuation (Option‑Pricing) Determine the option‑like feature (e.g., a warrant, real option). Choose a model: Black‑Scholes‑Merton, binomial lattice, or Monte‑Carlo simulation. Input variables: underlying price, strike, time to expiration, volatility, risk‑free rate, dividend yield. Compute the option value; add to/adjust the base valuation as needed. Net Asset Value Method List all assets and assign market values. Subtract total liabilities. Result = floor value (useful for liquidation or asset‑heavy firms). Distressed‑Company Valuation Re‑cast financial statements to reflect normalized earnings/cash flows. Adjust for non‑recurring items, working‑capital changes, lease modifications. Apply DCF or relative methods to the normalized cash flows. Add discounts for lack of marketability or control premiums as appropriate. Startup Valuation (Post‑Money) Identify the most recent financing round amount and shares issued. Post‑money valuation = price per share × total outstanding shares after the round. Cross‑check with sector‑wide pre‑money multiples for sanity. Detecting Mismarking Compare reported prices to observable market quotes (if available). Verify pricing models and inputs for illiquid securities. Ensure independent verification (e.g., fund administrator). --- 🔍 Key Comparisons Market Value vs. Fair Value Market: Actual transaction price in a liquid market. Fair: Reasonable price in an orderly transaction; may rely on models when markets are thin. Intrinsic (DCF) vs. Relative Valuation Intrinsic: Focuses on cash‑flow fundamentals; sensitive to discount rate & forecasts. Relative: Relies on peer multiples; quick sanity check but can inherit market mispricing. Net Asset Value vs. DCF NAV: Floor value, ignores future earnings; best for liquidation or asset‑heavy firms. DCF: Captures growth and profitability; preferred for going‑concern valuations. Mismarking vs. Correct Mark‑to‑Market Mismarking: Deliberate/erroneous price deviation → inflated NAV. Correct: Prices reflect observable market data or validated models. --- ⚠️ Common Misunderstandings “Fair value = market value.” Fair value may be model‑based when markets are illiquid. Discount rate is just the risk‑free rate. It must include a risk premium reflecting project‑specific uncertainty. Multiples are universally comparable. Industry‑specific dynamics (e.g., banks vs. tech) make some multiples inappropriate. NAV gives the full worth of a company. NAV ignores intangible assets and future earnings potential. All option‑like assets require Black‑Scholes. Complex features (early exercise, path dependence) need lattice or Monte‑Carlo methods. --- 🧠 Mental Models / Intuition “Money grows like a tree.” The farther the cash flow is in the future, the more branches (discounting) shrink its value. Multiples as “price per slice.” Think of P/E as “how many dollars you pay for each dollar of earnings.” Option‑like assets = “insurance policy.” You own the right but not the obligation; value rises with volatility. NAV as “floor of a building.” It’s the lowest level you can walk on; the building’s higher floors (growth) are above it. --- 🚩 Exceptions & Edge Cases Intangible‑heavy firms – DCF or option‑pricing preferred; NAV will severely under‑value. Illiquid securities – Fair value often requires significant judgment; higher mis‑marking risk. Distressed firms – Require financial‑statement recasting; standard multiples may be misleading. Startups with no earnings – Valuation hinges on growth potential and recent financing terms, not on cash‑flow models. Mining projects – Early‑stage: cost approach; advanced stage: income approach. Financial services firms – Use industry‑specific multiples (e.g., price‑to‑book for banks, embedded value for insurers). --- 📍 When to Use Which | Situation | Preferred Method | Why | |-----------|------------------|-----| | Mature, cash‑generating company | DCF (or DCF + relative for cross‑check) | Captures future earnings and risk‑adjusted discounting. | | Asset‑heavy, low growth, possible liquidation | Net Asset Value | Provides a reliable floor value. | | Peer‑rich industry with many comparable firms | Relative (multiples) | Quick market‑based benchmark. | | Assets with embedded options (warrants, real options) | Contingent claim (option‑pricing) | Captures optionality and volatility. | | Private or illiquid firm with limited market data | Guideline companies + multiples, supplemented by DCF | Uses best‑available comparables while adjusting for firm‑specific forecasts. | | Startup with recent financing round | Post‑money valuation (price per share) | Reflects market’s latest price for equity. | | Distressed company | Re‑cast financials → DCF or relative + discounts | Normalizes cash flows before applying standard methods. | --- 👀 Patterns to Recognize Explicit growth rate → likely DCF/Gordon model. List of peer firms & multiples → relative valuation. Mention of volatility, strike, expiration → option‑pricing needed. Talk of “floor value” or liquidation → NAV approach. References to “lack of marketability” or “control premium” → distressed‑company adjustments. “Post‑money” and “price per share” → startup financing valuation. --- 🗂️ Exam Traps Choosing market value when the question asks for fair value – market may be unavailable; a model‑based estimate is required. Applying a P/E multiple from a high‑growth tech peer to a mature utility – industry mismatch leads to over/under‑valuation. Forgetting to add a risk premium to the discount rate – yields an inflated intrinsic value. Using NAV for a software firm with valuable patents – will severely understate true worth. Assuming Black‑Scholes works for a convertible bond with early‑exercise features – should use a lattice model. Confusing “mis‑marking” with normal “price adjustments” – mis‑marking is intentional fraud; normal adjustments are disclosed and justified. ---