Objective 2 · 28–47%

Strategic Budgeting, Forecasting & Value Measures

This is the heaviest objective and the one the XP manual says takes several passes. It has two halves. Implement and monitor strategy (strategy map/BSC, CPM, ZBB, forecasting, FP&A), and measure value (Koller value creation, EV→equity, multiples, divestitures, banks; Damodaran control and synergy; Hitchner discounts). The math is light but the distinctions get tested hard. The single idea under all of it: value = cash flow, and ROIC vs cost of capital decides whether growth helps.

How Objective 2 gets tested
  • Critique a case company's balanced scorecard / strategy map / comp plan against its strategy, then recommend fixes.
  • Run a ZBB ranking or explain decision packages and minimum levels.
  • Calculate a value driver / economic profit / EV→equity / multiple, then interpret it (is growth good here?).
  • Value control (voting vs non-voting shares), synergy (3 steps), and divestitures. Critique the bad reasons people give (EPS accretion, diversification).
  • Apply discounts and premiums (DLOC, DLOM, multiplicative) and contrast Hitchner's "evidence is mixed" with Damodaran's precise view.

Strategic Balanced Scorecard–Based Budgeting & Performance MgmtHandbook of Budgeting (Lalli, 6th ed.) Ch. 2

What you must get out of it: strategy fails in implementation. The fix is to link the strategy map → balanced scorecard → budget → job descriptions and bonuses. Be ready to critique a case company's scorecard: does every measure trace to the strategy? Is there a lead and lag mix? Are targets, owners, and funded initiatives present?

Why strategies fail: the 4 barriers

5%

Vision barrier

Only about 5% of employees understand the strategy.

Management barrier

Very little executive time is spent discussing strategy.

Resource barrier

Most companies do not link the budget to strategy.

People barrier

Management incentives are rarely linked to strategy.

Memory hook"V-M-R-P": Very Many Resources Perish. Each barrier has a matching fix: communicate the map (V), review strategy at the executive level (M), BSC-based budget (R), and tie comp to the BSC (P).

Strategy map: a cause-and-effect diagram, read BOTTOM → TOP

This is the Pareto Inc. example (Exhibit 2.3). The vision: "delight our enterprise customers as the preferred provider of integrated network solutions and services."

Financial
What do shareholders expect?
S1 Achieve growth targetsRevenue growth strategy: S2 exceed market growth, S3 increase order backlogProfitability strategy: S4 increase gross margin
▲
Customer
Who are they; what do they value?
End customers: proven technology, high service, whole-product solutions, brand imageIntermediate (VAR/OEM partners): service, joint selling, margins, joint investment
▲
Internal processes
What must we excel at?
Customer service excellence (dominant)Technology leadershipOperational excellence
▲
Learning & growth
People, skills, culture, tech
L1 Employee satisfactionL2 CultureL3 Recruit talentL4 World-class leadershipL5 Competency programsL6 Internal commsIT1 Tech infrastructure

The three internal "operations strategies" are customer service excellence, technology leadership, and operational excellence. Learning and growth is the foundation: a motivated, prepared workforce.

Balanced scorecard: 5 components per line (Exhibit 2.4, Pareto internal perspective)

ObjectiveMeasureTargetSponsorInitiative
I1 Proactively manage renewal processRenewal %80%+VP SalesContract renewal IT project
I2 Expand service offerings$ revenue from new offerings$50MVP Sales—
I3 Implement new sales model% revenue from channel partners15%VP SalesSales training project
I4 Understand customer requirements# user group members20 sessionsVP Sales—
I5 Invest in strategic sales channels# new partnersGrow 20%VP Sales—

The causal arrows run I4 and I5 → I2 and I3 → I1. Understanding customers and investing in channels drives new offerings and the new sales model, which drives renewals.

Memory hookThe 5 BSC components are O-M-T-S-I: "Only My Team Scores Interceptions" (Objective, Measure, Target, Sponsor, Initiative). A past SM exam asked for exactly these "5 components."

Measures

Lead vs lag

  • Leading = early warning. Example: a rising order backlog means production is falling behind.
  • Lagging = rear-view mirror. Example: accounting results reported months after quarter-end.

Efficiency vs effectiveness

  • Efficiency (process): how well the process works. Examples: turnaround time, cost per unit.
  • Effectiveness (output): the result. Example: product quality levels.

Measure types

Percentages and growth rates, survey ratings, rankings vs competitors (e.g. a safety ranking), and time (wait time, problem-resolution time).

Targets = budgets

Once objectives and measures exist, set targets. In this chapter targets and budgets are synonymous. Break annual targets into quarterly, monthly, and weekly numbers.

From BSC to budget to pay

Strategy mapObjectives with causal links
BSCMeasure, target, sponsor, initiative
BudgetRun financial and BSC budgets in parallel, linked to the financial BSC measures
Performance mgmtJob descriptions and bonus comp tied to BSC objectives
How it gets tested"Critique Blue Jay Tire's (or another case company's) balanced scorecard and recommend improvements." Check each perspective for: (1) alignment with the stated strategy, (2) a lead/lag mix, (3) specific, measurable targets, (4) a sponsor and a funded initiative, (5) cause-and-effect links upward, (6) linkage to comp.
Traps
  • A scorecard that is all financial or all lagging is not "balanced."
  • Measures that don't connect to the strategy (e.g. a low-cost carrier measuring premium-lounge satisfaction).
  • Saying "read top-down." The map is built and read from the bottom up (learning → internal → customer → financial).
Self-test: What are the four perspectives, and what question does each answer?Financial: what do shareholders value? Customer: which segments, and what do they want from us? Internal processes: which processes must we excel at to deliver for customers and shareholders? Learning & growth: what people, skills, culture, and technology do we need?
Self-test: Classify "% of calls answered in 30 sec" and "customer retention rate."Calls answered in 30 sec is an efficiency/process measure and leading. Retention rate is an effectiveness/output measure and lagging.

Budgeting: Key to Corporate Performance ManagementHandbook of Budgeting Ch. 29 (pp. 659–666 only)

What you must get out of it: CPM = the methods (BSC, EVA, KPIs), metrics, and processes used to monitor and measure performance. Know the 5-step process for adapting the budget so it supports CPM, and the 4 questions management can then answer.

Where it fits: Porter = develop the product-market strategy → strategy map/BSC = details to implement and measure → CPM = regular monitoring and managing.

1. Define measures to implement strategyFor each tactic and goal: base measures (by time, region, product), assumptions (economic, competitive), KPIs incl. leading indicators, and the person responsible
2. Define additional measures for reportingExtra measures needed for financial reporting
3. Group measures into related schedules
4. Identify model structuresOrganizational and geographic structures
5. Define how strategy is presented to usersData easily accessible

Exhibit 29.3 example: strategy "Improve sales productivity"

Tactics & goalsMeasuresDimensions / frequency
$250,000 sales per repSales revenueBy person, monthly
Grow cellular line 25%VolumeBy product
Sales costs ≤ 15% of revenueCOGS, salaries, commission, other sales expense
External assumptions to monitor: average sales per head at peer organizations; cellular market share. Internal threats: not enough reps; production can't meet demand. Leading indicators: number of reps and their experience; cellular production levels.
The 4 questions management can then answer at budget review
  1. Which tactics do we want to fund?
  2. Which tactics cannot be implemented within the set limits?
  3. What do budget-holders say about those tactics?
  4. If we must cut costs, which tactics do we eliminate, and how does that affect strategy?
Memory hookSteps: "D-D-G-I-D": Define, Define, Group, Identify, Display. Two defines, then group, then structure, then present.
Self-test: What 4 items does Step 1 require for each tactic/goal?(1) Base measures (by time, region, product), (2) assumptions (economic and competitive climate), (3) KPIs, including leading measures, (4) the person responsible for achieving the goal.

Zero-Based Budgeting (ZBB)Handbook of Budgeting Ch. 30

What you must get out of it: ZBB is a management and decision-making tool, not just a budget. Every discretionary activity is rebuilt from zero each year as decision packages with alternative methods and funding levels, then ranked against objectives. The ranking gives a built-in contingency plan. Know the lists cold and be able to rank packages.

Problems with traditional (incremental) budgeting

  • Focus is on changes from last year's spend.
  • Requests exceed available funding.
  • Hard to translate long-term objectives into action plans.
  • Key problems and alternatives are not identified.
  • Hard to adjust to changing situations.
  • Trade-offs among long-term goals, operating needs, and profits are not clearly identified.

The 5 key elements

OObjectivesIdentification of objectives
AAlternatives (means)Evaluate alternative means of accomplishing each activity
FFunding levelsElimination, lower, current, increased, with cost-benefit analysis
WWorkload & performanceEvaluate workload and performance measures
PPrioritiesEstablish priorities (ranking)
Memory hook"OAF-WP": "Only A Fool Wastes Pennies."

The 4 procedural steps

1. Identify decision unitsCost centers, projects, specific expenses, capital projects
2. Analyze each unit in a decision package
3. Evaluate & rank all packages→ budget request and P&L
4. Prepare detailed operating budgetsfor approved packages

Decision units

Apply to all discretionary activities with an identifiable cost-benefit relationship. Examples: Darwin's underwriting dept, Blue Jay Tire's HR, an ad campaign, a capital project.

NOT applied to direct labor, direct material, and fixed overhead. Those are managed by other methods, e.g. standard costing.

Decision package contents

  • Purpose / objective
  • Description of actions
  • Costs and benefits
  • Workload and performance measures
  • Alternative methods of accomplishing the objective
  • Various levels of effort: elimination, reduced (minimum), current, increased

Why define a minimum level?

  • Forces managers to evaluate their operations in depth.
  • Gives management the option to reallocate funds to other programs.

5 considerations for the minimum level

  1. It may not fully achieve the objective.
  2. It should address the most critical population or most serious problem areas.
  3. It may just reduce the amount or number of services.
  4. It may reflect operating improvements, organizational changes, or efficiencies.
  5. Any combination of the above.

Ranking (Exhibit 30.3)

Each function ranks its own packages (A1 = most important minimum level). Management then merges them into one company-wide ranking by decreasing benefit. The budget line shows what gets funded, and what is lost if lower packages are cut.

Function A
A1
A2
A3
Function B
B1
B2
B3
B4
Function C
C1
C2
Function D
D1
D2
D3
➜
Company ranking
1 A1
2 B1
3 A2
4 C1
5 D1
6 D2
7 C2
8 B2
9 B3
budget cut-off
10 A3
11 D3
12 B4

Ranking can be done by function, for the whole company, or somewhere in between. It answers two questions: which objectives should we attempt? and how much should we spend? It doesn't make budgeting easier, but it gives good company-wide cost-benefit decisions.

Traditional vs zero-based flow (Exhibit 30.7)

StageUsual approach (numbers-oriented)Zero-based approach (management-oriented)
1. Long-term plan (3–5 yr)Establish objectives and goalsEstablish objectives and goals
2. Operating plan (1 yr)Estimate costs of current activities → estimate costs of new activities → detail budgetsEvaluate current activities and alternatives → identify and evaluate new activities and alternatives → establish priorities
3. Evaluate & reviewTest against dollars/goalsTest against plan → establish trade-offs
4. Final budgetBudget establishedBudget and operating plan established → detailed budgets

Two additional benefits

1 · Reacting to changing situations

There's a built-in contingency plan. If sales or assumptions change:

  1. Adjust the direct labor, material, and fixed overhead budgets
  2. Identify the decision packages directly affected
  3. Modify the rankings
  4. Add or delete packages in priority order

2 · Strategic development

Translates long-term plans into action plans via packages and ranking. Marketing, engineering, and R&D can be ranked by major program or objective rather than by division.

Instructor's process viewDetermine objectives → identify decision units (e.g. Marketing, R&D Project 1, R&D Project 2) → analyze each in decision package(s) → rank all packages by criteria tied to the objectives. The objectives can be anything (ROI and cost cuts, brand building), and they drive which packages win.
Traps
  • Applying ZBB to direct labor, materials, or fixed overhead. It covers discretionary spend only.
  • Forgetting "alternative methods". Packages need different ways of doing the job, not just different dollar levels.
  • Making arbitrary cuts without understanding the consequences (e.g. production problems, starving R&D and marketing growth).
Self-test: Budget = 9 packages. A new competitor forces a 2-package cut. What happens under ZBB?Drop the lowest-ranked funded packages (B3, then B2 in the exhibit) in priority order. Management already knows the consequences because each package documents its benefits and the impact of not funding it. That is the built-in contingency plan.
Self-test: List the 4 levels of effort.Elimination; reduced (minimum) level; current level; increased level(s).

Forecasting PerformanceValuation (Koller et al., 8th ed.) Ch. 13, excluding "Mechanics of Forecasting"

What you must get out of it: you gain more from checking that forecast ROIC and growth are consistent with the company's ability to create value than from precisely forecasting an immaterial line item 10 years out. Know the steady-state definition, horizon length, the 7-worksheet model, the 3 advanced issues, and the inflation formula.

Steady state (required before continuing value)

  1. The company grows at a constant rate by reinvesting a constant proportion of operating profit each year.
  2. It earns a constant return on existing and new capital.

FCF then grows at a constant rate, so you can use a growth perpetuity. The company's growth should be ≤ the economy's.

How long?

  • Explicit forecast of 10–15 years (longer for cyclical or very fast-growing firms).
  • A short horizon (5 yr) usually undervalues the company or needs heroic continuing-value growth.
  • Split it in two: a detailed 5–7 yr forecast (full statements, linked to real drivers like units and cost per unit), then a simplified forecast (revenue growth, margins, capital turnover) to avoid false precision.

7 worksheets of a good model

1Raw historical data
2Integrated financial statements (IS linked to BS via retained earnings)
3Historical analysis & forecast ratios
4Market data & WACC
5Reorganized statements (NOPAT, invested capital)
6ROIC, economic profit & FCF
7Valuation summary (ops + non-op − non-equity claims)
Memory hook"Really Intelligent Humans Make Reasonable Return Valuations": Raw, Integrated, Historical ratios, Market/WACC, Reorganized, ROIC/FCF, Valuation.

3 advanced issues

Non-financial operating drivers

When prices or technology change, separate price from volume. Airlines in the early 2000s: forecast costs per seat-mile, not as % of revenue. Labor: units per employee × salary per employee.

Fixed vs variable costs

At public-company scale, nearly every cost is variable in the long run (cell towers must be added as subscribers grow; 10% growth doubles size in about 7 years). Treat truly scalable assets (software, apps) as fixed, but watch for obsolescence that needs repeated spending.

Inflation

Forecast in nominal terms, with the same expected inflation embedded in both the cash flows and the cost of capital. Derive it from government bond rates and inflation-linked bonds (TIPS).

Expected inflationExpected inflation = 1 + nominal rate1 + real rate − 1

Example: 10-yr Treasury 2.57%, TIPS 0.66% → 1.0257 / 1.0066 − 1 = 1.90% expected inflation for 10 years.

Calculator · Expected inflation

TrapsMixing real cash flows with a nominal WACC (or the reverse). Assuming a cost is "fixed" forever at valuation horizons. Using a 5-year explicit period with a big terminal growth rate.
Self-test: Why does a short explicit forecast period usually undervalue a growing company?The company hasn't reached steady state, so the continuing value (which assumes steady state) misses the remaining high-ROIC growth. You need heroic long-term growth assumptions to compensate.

Advanced FP&A Practices for a Volatile EnvironmentCP311-109-26 (McKinsey)

What you must get out of it: 6 practical steps for forecasting under uncertainty. A likely test: critique a case company's forecast or budget process against them and recommend fixes.
1

Clear probabilities

Put a clear probability on every major assumption and on the model overall. Probability-weighted, scenario-based forecasts are the most reliable. One owner of the model, ideally the head of FP&A.

2

True momentum case first

Start with a do-nothing base case on current trends, with management initiatives stripped out. Then layer initiatives on top. This avoids double counting, false optimism, and non-recurring gains, gives accountability (and credit), and supports realistic stretch goals.

3

Spell out the bear case

A 1-in-3 or 1-in-4 downside. Not an extreme left tail (<5%), but probable. Show its drivers, cash-flow consequences, and effect on investment and capital structure, so you can act early.

4

Consistent macro assumptions

Sourced and consistent within each country. Take the median of several credible independent sources, or weight them by historical accuracy.

5

Disaggregate inflation

A single CPI (a basket of about 94,000 items) is wildly inapplicable. Companies buy a few specific inputs whose inflation rates vary a lot.

6

Relentlessly back-test

Not "set and forget." Compare projections with actuals (weekly or more often), re-weight macro sources, reduce variances. This can be automated with AI and gen AI.

Memory hook"P-M-B-M-I-B": "Probably More Bears Make Investors Back-test." Probability, Momentum, Bear, Macro, Inflation, Back-test.
TrapsA "base case" that already includes planned initiatives isn't a momentum case. Planning only for the catastrophic tail and not the likely bear case. Applying one company-wide CPI to every business.
Self-test: The CFO's base case shows 6% growth "including our new pricing initiative." Critique it.It's not a true momentum case, because the initiative is embedded. Strip the initiative out to see the do-nothing trend, then layer it on separately with its own probability. That gives accountability and avoids double counting or optimistic bias in later investment decisions.

Fundamental Principles of Value CreationValuation (Koller, 8th ed.) Ch. 3

What you must get out of it: value is driven by ROIC, growth, and their sustainability. Growth creates value only if ROIC > cost of capital. High-ROIC companies should push growth; low-ROIC companies should fix ROIC. Conservation of value: if cash flow doesn't change, value doesn't change. This is the lens for judging buybacks, acquisitions, and financial engineering.

Value Inc. vs Volume Inc.

CompanyNOPAT yr 1GrowthROICInvestment rateFCF yr 1WACCValueP/E
Value Inc.1005%20%25%7510%1,50015
Volume Inc.1005%10%50%5010%1,00010

Same earnings and the same growth, but different value, because Value Inc. needs to reinvest only half as much to grow. Earnings ≠ value.

Growth, ROIC, and cash flow are linkedg = ROIC × IR   ⇒   IR = g / ROIC   ⇒   FCF = NOPAT × (1 − IR) = NOPAT × (1 − g/ROIC)
Key value driver formula (constant g and ROIC forever)Value = NOPATt+1 (1 − g/ROIC)WACC − g = FCFt+1WACC − g
As multiplesValueNOPATt+1 = 1 − g/ROICWACC − g     ValueInvested Capital = ROIC × 1 − g/ROICWACC − g = ROIC − gWACC − g

Definitions: NOPAT = profit from core operations after the taxes on those operations. Invested capital = cumulative investment in core ops (mainly PP&E and working capital). Net investment = ΔIC. FCF = NOPAT − net investment. ROIC = NOPAT / IC. IR = net investment / NOPAT. In the formula, g and ROIC are strictly the return on new capital (RONIC).

Growth × ROIC value matrix (WACC 9%, NOPAT1 = 100)

Computed with the value driver formula. Exhibit 3.6 shows the same pattern.

Growth ↓ / ROIC →7%9% (= WACC)13%20%25%
3%9521,1111,2821,4171,467
4.5%7941,1111,4531,7221,822
6%4761,1111,7952,3332,533

Read across a row (raise ROIC)

Value always rises. Higher ROIC means less investment is needed for the same growth.

Read down a column (raise growth)

ROIC > WACC: value rises. ROIC = WACC: no change (1,111 = 100/0.09). ROIC < WACC: growth destroys value.

Implications for managers
  • High-ROIC companies create more value by growing. Low-ROIC companies create more by raising ROIC.
  • "Grow and ROIC will follow from scale" is true only for young start-ups. In mature firms a low ROIC signals a flawed business model or a bad industry structure.
  • Organic new-product growth usually has the highest returns: little new capital, staged and cancellable investment. Acquisitions pay everything upfront plus a premium, so the return is usually only slightly above the cost of capital, though with lower downside risk. Counting the risk of failure doesn't change that pecking order.

Economic profit

Economic profit (value created in a single period)EP = Invested Capital × (ROIC − WACC)     Value = Starting IC + PV(projected EP)

EP combines ROIC and size into a currency amount. It encourages investments that earn more than WACC even if they are below the current average ROIC, and it is useful for comparing business units.

Conservation of value: "anything that doesn't increase cash flows doesn't create value"

Debt for equity / leverage

Just re-slicing claims doesn't change value. It matters only via the interest tax shield, or through behavior (debt discipline makes managers more diligent; too much debt makes raising capital for good projects harder).

Share repurchases

Raise EPS but create no value by themselves, since total cash flow is unchanged. If the cash could earn more than WACC, investing it likely gives higher long-term EPS. Buying "undervalued" shares only transfers value from sellers to remaining holders, and companies time buybacks poorly.

Acquisitions

Create value only if combined cash flows rise: cost reductions, faster revenue growth, or better use of fixed and working capital.

Financial engineering

Derivatives, structured debt, securitization, off-balance-sheet financing: mostly no real value, just a short-term illusion. A sale-leaseback makes assets and debt look smaller, but rent replaces depreciation and interest (and is usually higher), so there is rarely any value for investment-grade firms.

Accounting changes

Non-cash charges or a change in accounting method don't change cash, so they don't change value.

Calculator · Value driver formula

Calculator · Economic profit

Memory hook"Growth is a magnifier, not a creator." Growth magnifies whatever the spread (ROIC − WACC) already is: positive gets bigger, negative gets worse, zero stays at zero.
Traps
  • "EPS goes up, so value is created" (buybacks, accretive deals). Check the cash flow instead.
  • Recommending growth for a company whose ROIC is below WACC.
  • Forgetting g < WACC in the formula.
Self-test: NOPAT 200, g 4%, ROIC 8%, WACC 8%. Value? What happens if g rises to 6%?IR = 4/8 = 50%, so FCF = 100 and value = 100/(0.08 − 0.04) = 2,500. At g = 6%: IR = 75%, FCF = 50, value = 50/0.02 = 2,500. No change, because ROIC = WACC. Value = NOPAT/WACC either way.
Self-test: A company with ROIC 30% and WACC 8% asks whether to prioritize margin improvement or growth.With a high ROIC, Koller says extra growth usually adds more value: each new dollar of capital earns far above WACC, and FCF falls only slightly as reinvestment rises. Low-ROIC firms should fix ROIC first.

Moving from Enterprise Value to Value per ShareValuation (Koller, 8th ed.) Ch. 16, pp. 333–341 (stop before "Valuing Interest-Bearing Debt")

What you must get out of it: the valuation buildup, the list of non-operating assets and how each is valued, the 20–50% / <20% rules for nonconsolidated investments, and why finance subsidiaries are separated. This chapter feeds directly into net-EV multiples (Ch18).
DCF value of core operations (FCF discounted at WACC)
+ Non-operating assets (anything not in FCF)
= Enterprise value
− Non-equity claims (interest-bearing debt, debt equivalents like unfunded pensions, hybrids like convertibles and employee stock options, non-controlling interest)
= Equity value ÷ most recent shares outstanding = intrinsic value per share
RuleA non-operating asset is any asset you have not included in free cash flow. Estimate each one's market value separately and add it. Deduct capital gains tax if a sale is announced, and include only your company's share if ownership is shared. Don't classify an operating asset as non-operating. A retailer's stores are already in the value of operations, so adding the real estate again would double count.
Non-operating assetHow to value
Excess cash & marketable securitiesBook value (it is fair value), unless volatile equity holdings have changed a lot
Nonconsolidated investments: publicly tradedMarket value, after checking that the market value reflects intrinsic value (thin float or low liquidity can distort it)
Nonconsolidated investments: unlisted, with financialsSeparate DCF of the equity stake at the sub's own cost of capital. Include only the parent's stake
Nonconsolidated, only parent's accounts available20–50% (equity method): simplified cash-flow-to-equity (NI growth and ROE drivers, discounted at the sub's cost of equity) or multiples (P/E, market-to-book) on reported income. <20% (cost method): a tracking portfolio (apply the price change of comparable stocks since acquisition). Triangulate
Loans to other companiesBook value if issued on fair terms and credit and rates haven't changed. Otherwise DCF at a similar-risk YTM
Finance subsidiariesSeparate them from operations (otherwise they distort ROIC and FCF), value them as a financial institution, and add. Subtract only general debt, since the sub's debt is already inside its value
Discontinued operationsExclude from FCF; add the disclosed net asset value
Excess real estate / unutilized assetsExcluded from FCF; add market value
Excess pension assetsMarket value less tax: liquidation tax (higher) if the plan will be dissolved soon, otherwise the statutory rate (reflecting lower future contributions)
Tax loss carry-forwardsDCF of the future tax savings. Start from the deferred-tax asset
Memory hookNon-operating assets: "Every Investor Loves Free Dollars, Really Pretty Tax-free": Excess cash, Investments (nonconsolidated), Loans, Finance subs, Discontinued ops, Real estate (excess), Pension (excess), Tax-loss carry-forwards.
Self-test: Ops DCF 900, excess cash 50, 30% stake in an unlisted JV worth 200 (100%), debt 300, unfunded pension 40, 10 shares. Value per share?EV = 900 + 50 + 0.3×200 = 1,010. Equity = 1,010 − 300 − 40 = 670. Per share = 67.

Using MultiplesValuation (Koller, 8th ed.) Ch. 18

What you must get out of it: multiples are a relative sanity check on DCF, not a replacement. Know the 5 principles and why each matters (P/E is distorted by leverage, EBIT by acquired-intangible amortization, EBITDA by lease-vs-buy), plus the alternative multiples and the flaws of PEG.
1Sum of the partsValue multi-business companies by unit (e.g. J&J: pharma, devices, consumer)
2Forward earningsUse normalized forecast profits, not trailing; less variation, consistent with DCF
3Right multipleNet EV / EBITA, or net EV / NOPAT
4Adjust for non-op itemsStrip non-operating assets from EV and one-offs from EBITA
5Right peer groupA small set with similar ROIC and growth, not the industry average
Memory hook"S-F-R-A-P": "Smart Folks Rarely Average Peers." Sum-of-parts, Forward, Right multiple, Adjust, Peers.

Why not P/E?

It mixes capital structure and non-operating items with operating performance. In the textbook exhibit, a heavily levered company shows a very different P/E while EV/EBITA is similar across peers.

Why EBITA, not EBIT?

Amortization of acquired intangibles is an accounting artifact. Company A buys B for 1,000 (750 over book); amortized over 10 yrs that's 75/yr. EV/EBITA stays at 10× like organic peer C, but EV/EBIT jumps to 16×. That is not a premium, just accounting.

EBITA vs EBITDA

Depreciation usually stands in for the capex needed to replace assets, so subtract it. Use EBITDA only when current depreciation is a poor predictor of future capex. EBITDA multiples are distorted between firms that buy vs lease assets.

EBITA vs NOPAT

EBITA is common and fine when all peers share one operating tax rate (same jurisdiction). Use NOPAT when tax rates differ. Reported taxes include non-operating items.

Net enterprise valueThe numerator should include only the value that generates the EBITA in the denominator. Remove excess cash, nonconsolidated subs/JVs, excess real estate, other investments, and prepaid pensions. Including a JV's value without its income biases the multiple up. Leaving out non-controlling interest biases it down.
Multiples are driven by g, ROIC, WACCEVNOPAT = 1 − g/RONICWACC − g   — peers trade differently if their ROIC or growth differ. Ask why: superior products, customer access, recurring revenue, scale?

Alternative multiples

MultipleWhen usefulCaveat
EV / RevenueLast resort: start-ups with negative profits, very volatile margins, temporarily depressed earnings (heavy R&D or marketing), or a quick "what if it matched peer margins"Assumes margins converge to peers'
PEG (P/E ÷ growth)Roughly controls for growth differencesNo mathematical basis, no standard horizon for growth (1, 5, or 10 yr?), and it ignores ROIC: in the textbook exhibit, companies with PEGs of 3.4 vs 1.7 are valued the same by DCF
Multiples of invested capitalBanks (wealth management vs investment banking), regulated utilities (RAB multiples)
Operating metrics (per subscriber or user)Young, fast-growing firms (Spotify, Sirius XM)The metric must tie to ROIC and growth. Business models differ, so only very similar firms are comparable
TrapsComparing P/Es across firms with different leverage. Using gross EV with an EBITA that excludes the JV income. Using a broad industry average. Treating a multiple as an absolute valuation.
Self-test: A conglomerate trades below a "sum of parts" built on industry-average multiples. Is the market missing value?Not necessarily. Industry averages may come from peers with higher ROIC and growth, or from different sectors. Use a narrow peer group with similar ROIC and growth for each unit, and forward normalized EBITA. (Koller Ch32 makes the same point about misleading sum-of-parts analyses.)

DivestituresValuation (Koller, 8th ed.) Ch. 32

What you must get out of it: divest when someone else is a better owner, whether the business is good or bad and at any life-cycle stage. Know the value-created formula with its 4 deductions, why EPS and P/E changes are irrelevant, and the private vs public transaction menu.
Value created for the parentValue created = Price received − Value forgone − Costs of separation
= Price − Stand-alone value − Lost synergies − Disentanglement costs − Stranded costs

Lost synergies

Operating synergies with the rest of the portfolio (plus small tax and financing synergies), even if you aren't the best owner.

Disentanglement costs

Legal and advisory fees, IT replacement or reconfiguration, relocation, retention bonuses, and taxes triggered by the deal structure.

Stranded costs

Corporate costs that don't transfer: shared services, IT, shared plants, board, legal, compliance. Real but easily overestimated, and mitigated by restructuring shared services. Divestments often expose excess overhead.

Legal/regulatory and pricing

Contracts (procurement, customer, loan) may need transitional service agreements; these slow the deal more than they hurt value. If the market prices the unit above intrinsic value, sell now. In weak markets (Siemens/OSRAM IPO delays), weigh lower proceeds against the costs of holding on.

The costs of holding on

  • Underperformers: waiting leads to a fire sale after the value is already destroyed.
  • Good, mature units: corporate inertia. They dampen innovation, absorb scarce management time, and create conflicts. A stand-alone unit gets tailored financing, investment, incentives, and focus.
  • Capability mismatch: start-ups need innovation skills; mature units need cost management. Parents excel at only a few, fairly static, capabilities.
  • Divestment is not an easy fix for stock undervaluation. Positive announcement returns don't prove a hidden sum-of-parts value (those analyses often use the wrong peer multiples).

EPS and P/E are irrelevant (Exhibit 32.2)

Sell a mature, high-ROIC, low-growth unit worth 450 to the company for 550: +100 created. Mature units carry low multiples, so divesting them usually raises P/E and lowers EPS, even at a value-destroying price below 450. How the proceeds are used changes EPS:

Use of proceedsEPS effectWhy
Hold cashMost dilution (equity value and P/E rise)Interest on cash < earnings yield of the unit sold
Repay debtLess dilutionDebt rate > cash rate, but still < the unit's earnings yield
Buy back sharesLeast dilution; P/E up, but lower than in the other casesEarnings yield of the remaining business < the divested unit's (6.8%)
Invest for growth / acquireSmaller company, lower EPS, but shareholders still winShareholders care about value, not size

Transaction types

TypeWhat happensCash to parent?
Private sale (or JV) to a strategic or financial buyerUsually the most value if the buyer is a better owner; premium captured now. Downside: may trigger taxable gainsYes
IPOSell all shares of the sub to new shareholdersYes
Carve-outIPO of a minority stake, so the parent keeps control in the first phaseYes
Spin-off (demerger)Distribute all sub shares to existing parent shareholdersNo
Split-offExisting shareholders exchange parent shares for sub sharesNo
Tracking stockA separate class of parent shares tracking the unit, spun off or carved outOnly if carved out

The choice depends on: whether strategic or financial buyers exist, the need for cash, the benefit of keeping some control during the first phase, and the tax implications for the company and its shareholders.

Memory hook"Price − SLDS": Stand-alone, Lost synergies, Disentanglement, Stranded. Discipline tools: regular exit-review meetings and a "date stamp" (estimated exit date) on every unit.

Calculator · Divestiture value created

TrapsRejecting a value-creating sale because EPS drops. Overstating stranded costs. Only divesting bad businesses. Treating a spin-off as raising cash.

BanksValuation (Koller, 8th ed.) Ch. 43 (heavily updated in the 8th ed.)

What you must get out of it: for banks you can't separate operating from financing, because interest income and expense are the operations. So value cash flow to equity at the cost of equity (equity DCF). Know CFE, the ROE/RONE value driver, the 3 pitfalls (including the tax penalty), loan losses, and why bank segments are valued separately.

Net interest income

Interest earned on loans minus interest paid on deposits and debt. Not all of it creates value: part is earned by a maturity mismatch (short deposits funding long loans, i.e. riding the yield curve).

Fee & commission income

Advisory, underwriting, asset management, brokerage. Easier to understand and independent of financing, but some fees are highly cyclical.

Trading income

Equities, bonds, FX, CDS, ABS. Highly volatile: years of gains can be wiped out in one year.

Other income

Real estate, minority stakes, distributing third-party products. Small and unrelated to core banking.

Balance sheet

  • Assets: cash, loans (the core; consumer rates > commercial; loan-loss reserves required), securities, property, central bank reserves
  • Liabilities: deposits (primary, low-cost, predictable, withdrawable anytime, hence the mismatch; SVB 2023), wholesale funding (quick to raise but about 300–400 bp above deposits)
  • ALM manages the asset-liability mismatch

Capital (Basel III, Dec 2010)

Equity required against risk-weighted assets: RWA = credit + market + operational risk. Minimum CET1 is about 8–10.5% of RWA in total; most banks target more, e.g. 13%. Outside-in, you must approximate RWA by asset category to project future equity needs.

Cash flow to equityCFEt = NIt − ΔEt + OCIt   (ΔE = increase in book equity; OCI = non-cash other comprehensive income, added back)
Equity value (continuing value)CVt = NIt+1 (1 − g/RONE)ke − g  and if RONE = ROE:  = Et ROE − gke − g     ke = rf + β × MRP

ABC Bank: β 1.1, rf 4.5%, MRP 5% → ke = 4.5 + 1.1×5 = 10%. Equity PV = $134.2M, market-to-book 1.4, P/E 11.6. CFE was negative in 2021–22 because ABC raised equity to lift its Tier 1 ratio from 4% to 8%. With equity at 8% of assets, a 1-pt rise in the loan rate moves ROE by about 12 pts. CFE ≠ dividends, because buybacks and issuance also count.

Why NI isn't cash flowAs a bank grows it must grow equity, or its (debt + deposits)/equity ratio rises and worries regulators and customers. Retaining earnings or issuing shares to build equity reduces CFE.

Pitfalls of equity DCF

1 · Sources of value creation

Know which business (lending spread, deposits, maturity mismatch) actually creates the value, using economic spread analysis.

2 · Leverage and business risk → ke

Lower the equity ratio and expected ROE rises, but ke rises too. With no taxes there's no value gain unless the extra deposits themselves create value. If the asset/liability mix or capital ratios change, don't leave ke unchanged.

3 · Tax penalty on equity capital

Equity gives no interest tax shield, so income earned on equity-funded assets is taxed. PV of the penalty = equity × tax rate. ABC raising $50M to buy risk-free bonds destroys 30% × 50 = $15M. It's captured implicitly if ke reflects leverage and risk.

Complications

  • Loan loss provisions: among the most important value factors. Use through-the-cycle loss rates (losses correlate with the economy) and deduct them from future loan rates. Check whether reserves are under- or over-provisioned; any shortfall reduces equity value.
  • Different value drivers by activity, so value segments separately like a multi-business company: interest-generating (retail, cards, wholesale lending) via economic spread and equity DCF; trading (large positions and risk capital, volatile; the average across the cycle is limited); fee businesses (asset management: small positions, minimal risk capital; drivers are AUM growth plus management and performance fees).
  • Banks are highly levered and cyclical, so use scenarios, not point estimates.

Calculator · Bank equity value (equity DCF value driver)

TrapsUsing enterprise DCF/WACC for a bank. Treating net income as cash flow. Holding ke constant when leverage changes. Valuing a universal bank as one blended business.
Self-test: NI 50, book equity grows from 400 to 430, OCI −5. CFE?CFE = 50 − 30 + (−5) = 15.

The Value of ControlDamodaran on Valuation (2nd ed.) Ch. 13

What you must get out of it: value of control = optimal value − status quo value, and the expected value of control = that difference × the probability management actually changes. Use it to price hostile deals, public stocks, voting vs non-voting shares, and minority vs majority stakes. Read the textbook illustrations (13.1–13.4).
Perspective noteKoller's conservation of value works at the company level. Damodaran often works at the shareholder level, where things like financing decisions can shift value between shareholders.

5 determinants of value, and how to raise each

DeterminantWays to increase value
1. Cash flow from existing assets: FCFF = EBIT(1−t)(1 − reinvestment rate)Redeploy or divest assets earning < cost of capital (sell low-return stores); improve operating efficiency (replace costly outdated equipment); cut the tax burden (lower-tax location); cut maintenance capex and working capital (faster supply chain, less inventory)
2. Expected growth during the high-growth period: new investments g = reinvestment rate × ROC; existing assets g = (ROCt − ROCt−1)/ROCt−1Raise the reinvestment rate and/or the return on capital. Better returns on existing assets also add growth
3. Length of the high-growth periodOnly valuable if returns exceed the cost of capital. Lengthen it by nurturing barriers to entry and competitive advantages (ties to Porter, Objective 1)
4. Cost of capitalMake products less discretionary (lower operating risk); cut operating leverage (fixed costs); shift the financing mix (debt is cheaper); match financing to assets (ALM)
5. Cash, cross-holdings, non-operating assetsCash invested below market rates or at risk of being squandered; spin off or sell cross-holdings someone values more; manage pension assets better
Memory hookThe 5 determinants: "C-G-L-C-C": Cash flows, Growth, Length, Cost of capital, Cash and cross-holdings. The first four give operating assets; the fifth is added on top.

Probability of changing management

4 mechanisms

  1. Moral suasion: large or activist investors demand change
  2. Proxy contest: shareholders vote
  3. Board replaces management
  4. Hostile takeover

What makes change harder

  • General status-quo bias in management
  • Institutional constraints (initiating change takes a lot of capital)
  • State restrictions on ownership changes
  • Corporate charter anti-takeover rules (e.g. golden parachutes)
  • Voting rights (Google's 10-vote class)
  • One very large shareholder who is also a manager (Larry Ellison, Buffett, about 40%)

Change is empirically more likely when…

Stock and earnings performance are poor, the board is small, insider holdings are low, and the industry is very competitive.

What shifts the probability

Changes in corporate governance rules, publicity about company errors, or hostile takeovers elsewhere.

Publicly traded firmMarket value = Status quo value + (Optimal value − Status quo value) × P(management change)
Voting vs non-voting shares (Va = optimal, Vb = status quo)Value per non-voting share = Vbnv + nnv     Value per voting share = Vbnv + nnv + (Va − Vb) × P(change)nv

Implications for the voting premium

  • It goes to zero if there's no chance of changing management.
  • It is larger for poorly managed firms (big Va − Vb).
  • It is larger the fewer voting shares there are relative to non-voting.
  • It is larger the greater the % of voting shares available for trading.

Implications for acquisitions

  • No rule of thumb on the control premium. It varies by firm and by why the firm underperforms (internal management vs external competition) and how quickly changes can be made (financing changes fast; a new plant slowly).
  • The market price may already include part of the value of control, so paying a premium on top can be overpaying.
  • Hostile deals are driven mainly by control. Synergy is separate and comes on top of control.
  • Poor governance means lower stock prices.
Private companiesNo hostile takeovers, but control still matters when management is separate from the owner. Roughly, a minority stake is worth a share of the status quo value and a majority stake a share of the optimal value. The minority discount should vary inversely with management quality. Control may not need 51% (e.g. the largest holder among many small ones). A stake's value depends on whether it gives a say in how the firm is run.

Calculator · Value of control & voting shares

Self-test: SQ 1,000, optimal 1,300, P = 40%, 20 voting + 80 non-voting shares. Prices?Market value = 1,000 + 300×0.4 = 1,120. Non-voting = 1,000/100 = 10.00. Voting = 10 + 300×0.4/20 = 16.00. Check: 20×16 + 80×10 = 1,120.
TrapsPaying the full control value to the seller (that leaves nothing for the buyer). Adding a premium as if the market price already were the status quo value. Mixing control with synergy.

The Value of SynergyDamodaran on Valuation (2nd ed.) Ch. 15

What you must get out of it: synergy = extra value from combining two firms that wouldn't exist apart. Separate operating from financial synergies, value them with the 3-step method, keep control and synergy separate, and debunk dubious synergies (accretive EPS, diversification). This connects to Hitt Ch6–7 (Objective 1).

Operating synergies → higher cash flows

  • Economies of scale (horizontal: two banks merging back offices and IT)
  • Greater pricing power (less competition; horizontal mergers in industries with few players)
  • Combining functional strengths (strong marketing + great products)
  • Higher growth in new or existing markets (a US firm buying an emerging-market distributor)

Financial synergies → cash flows or a lower discount rate

  • Cash slack: cash-rich, low-opportunity firm + cash-poor firm with high-return projects
  • Tax benefits: use the target's losses or deductions; write up depreciable assets
  • Debt capacity: less-correlated cash flows give more stable combined cash flows, more borrowing, a tax shield, and a lower cost of capital (assumes both were at optimal debt pre-merger)
  • Diversification: controversial. Public investors can diversify themselves; it can help private firms

Valuing operating synergy: 3 steps

1Value each firm independently (its own cash flows at its own WACC)
2Value the combined firm without synergy = sum of step 1
3Build synergy into growth rates and cash flows and revalue the combined firm. Synergy = step 3 − step 2

Two questions: what form will synergy take (it must raise cash flows from existing assets, raise growth, lengthen the growth period, or lower the cost of capital), and when will it hit cash flows (usually phased in over time)?

Cost synergies

One-time or ongoing. Bounded: you can't cut costs below zero.

Growth synergies

Higher returns on investment, more investment opportunities (higher reinvestment), or a stronger competitive position (excess returns last longer). Unbounded: Facebook paid $1B for Instagram, now thought to add $100B+.

Real-options view

Buying a small emerging-market firm is like buying an option to expand. Be skeptical, though: there may be other ways to expand, and DCF may still be best.

Valuing cash slack

Add the NPV of the projects the cash-poor firm would otherwise have to reject.

Tax example

Acquirer with $1B operating income and a 40% tax rate buys a firm with a $1B NOL: value ≈ 40% × $1B = $400M.

Debt capacity

Lower variability gives more debt, a tax benefit, and a lower cost of capital, so the combined firm is worth more.

Dubious synergies

  • Accretive acquisitions: EPS rises only because the target's P/E was lower, perhaps for good reasons (lower growth, higher risk)
  • Quick growth: buying growth is fine, but everything depends on the price paid

Who gets the synergy?

It depends on whose strengths are unique. If only the acquirer has the necessary components, it gets most of the gain. If its strengths aren't unique, bargaining power and the gains go to the target. In public deals the market acts as a counter-bidder, so acquirers keep less than in private deals.

Why bidders overpay

  • Biased evaluation: bankers are paid only if the deal closes
  • Managerial hubris: overestimating synergy
  • Failure to plan for delivering synergy

What raises the odds of success

  • Mergers of equals do worse (culture clashes)
  • Concrete, immediate cost savings do better
  • Repeated purchases of small private firms do better
3 common errors in valuing synergy
  1. Subsidizing target shareholders: valuing a low-rated target at the strong acquirer's lower cost of capital.
  2. Wrong discount rate: discount synergy cash flows at the combined firm's cost of capital (reflecting non-diversifiable risk), never the riskless rate. Use the new business's rate if the synergy is a new line of business.
  3. Mixing control and synergy: value control first (fix the target's operations), then the incremental synergy. Paying more than control + synergy destroys the acquirer's value.
Memory hookFinancial synergies: "C-T-D-D": Cash slack, Tax, Debt capacity, Diversification (dubious). Errors: "S-W-M": Subsidize, Wrong rate, Mix.
Self-test: A is worth 600. B is worth 300 status quo, or 360 if run optimally. Combined firm (B run optimally) with synergy = 1,050. A pays 470 for B. Good deal?Control = 360 − 300 = 60. Combined without synergy = 600 + 360 = 960, so synergy = 1,050 − 960 = 90. Maximum justifiable price = 300 + 60 + 90 = 450. At 470, A overpays by 20 and destroys its own shareholders' value. Note that a naive "1,050 − 900 = 150 synergy" mixes control with synergy.

Valuation Premiums and DiscountsCP311-110-26: Financial Valuation (Hitchner, 5th ed.) Ch. 10, pp. 507–545

What you must get out of it: identify the level of value your method produces, then apply the right premiums or discounts, in the right order and multiplicatively. Distinguish liquidity from marketability, entity-level from shareholder-level, and control from strategic premiums. Be able to argue both sides of the debates: Hitchner says "the evidence is mixed"; Damodaran gives the precise view.

Levels of value

Synergistic / strategic control value: acquisition value to a specific buyer
Strategic (acquisition) premium: incremental value to a specific investor
Control stand-alone (financial control) value
Control premium  |  ▼ Discount for lack of control (DLOC, minority discount)
Marketable minority ("as-if-freely-traded"): like a share of a public company
Discount for lack of marketability (DLOM)
Non-marketable minority value: after all DLOC and DLOM

Order: from a control value, apply the minority discount first (to reach marketable minority), then DLOM. Multiply, don't add: 20% DLOC and 20% DLOM give 1 − 0.8 × 0.8 = 36%, not 40%.

Implied minority discount from a control premiumDLOC = 1 − 11 + control premium    (e.g. a 30% premium implies 23.1%)    Combined discount = 1 − (1 − d1)(1 − d2)

Liquidity vs marketability

Liquidity

The ability to quickly convert property to cash, or pay a liability, without significant loss of principal and without significant cost. Benchmark: actively traded public stock, i.e. an instant sale with cash within about 3 days at a broker's commission.

Marketability

The ability to convert property to cash at minimal cost, reflecting the capability and ease of transfer or salability. Anything liquid is marketable; marketable doesn't imply liquid. Later in the chapter the two are merged into one DLOM.

InterestClassification
Actively traded public stock (minority)Liquid
Large block of public stock (blockage discount), thinly traded stock, restricted stockMarketable illiquid
Control interest in a public companyMarketable illiquid
Control interest in a private company (avg about 9 months to sell; ~80% sell within 12 months)Marketable illiquid
Real estate; machinery & equipmentMarketable illiquid
Minority interest in a private companyNon-marketable (hard to sell, no ready market, not impossible)

The only valid terms are liquid, marketable illiquid, and non-marketable. "Liquid marketable" is redundant; "non-marketable illiquid" is redundant. Liquidity of public stock varies with bid-ask spread, market depth, trading volume, and price impact per dollar traded.

Entity-level vs shareholder-level

Entity-level discounts (affect the whole company)

  • Key-person
  • Contingent liability (e.g. hazardous waste)
  • Contingent litigation
  • Small-company risk
  • Non-homogeneous assets
  • Customer/supplier concentration
  • Blockage / market absorption

Applied by raising the discount rate (income approach) or lowering the multiple (market approach).

Shareholder-level

Specific to an ownership interest (number of shareholders, shareholder agreements): strategic premiums, control premiums, DLOC, DLOM.

What level of value does each method produce?

MethodControl or minority?Marketable?
Income: capitalized CF / DCFControl if control adjustments are made to the cash flows; minority if not (e.g. owner extracting excess comp). If no adjustments are needed, it equals bothMarketable (rates come from public data)
Excess earnings methodControl (only control can realize the underlying assets)Marketable
Guideline public companyControl if adjusted, otherwise minority. Public multiples are "control neutral" (cleanly managed under scrutiny)Marketable
Guideline transactions: public targetsControl (an M&A deal requires control)Marketable
Guideline transactions: closely held targetsControlMarketable but illiquid
Asset approach: net asset valueControl (only control can force a sale)Usually marketable

Control premium vs strategic premium

Control premium = the right to direct the company and/or divert cash flows. Strategic/acquisition premium = incremental value to a specific buyer. Acquisition data mixes the two, so control premiums are often overstated when acquisition premiums are used as a proxy. Better practice: analyze on an invested-capital basis. Control and marketability are related: a majority holder can create marketability through a sale, merger, or IPO.

Ownership spectrum (Exhibit 10.8)

Least impaired: 100% → >50% able to liquidate/merge → >50% but below a supermajority (e.g. 2/3 needed) → controls the board. Most impaired: <50%, can't affect the board, fragmented remainder. 50% has no control but has veto power (stalemates). Cumulative voting can win a board seat and a smaller DLOC. A 10% holder can have more say than ten 1% holders.

Debates to argue both ways

Do public stock prices reflect control?

Theory 1: yes, market prices aren't a pure minority level. Theory 2: no. Damodaran's view: part of the price already reflects the expected value of control (value × probability). Hostile deals that leave the target independent isolate control plus overpayment; average US premiums were 20–30% in the 1980s–90s, slightly higher for hostile deals. Synergy is on top of control, and the buyer shouldn't pay the full value of control. Conclusion: in public firms, minority and controlling interests may be so integrated that they are essentially similar.

DLOM on a controlling interest?

Against: the control owner sets the timing and amount of cash flows, and illiquidity is already priced. For: if values are benchmarked to liquid public stocks, a control sale still faces uncertain time to sell, transaction costs (due diligence, valuation, legal), and uncertain proceeds or structure (earn-outs, notes, buyer financing). US Tax Courts have allowed it. Typical range: 0–20%; option models are increasingly used.

Other controversies: whether earnings should always get control adjustments, whether restricted-stock and IPO studies are valid DLOM "starting points," and whether DCF or option models are sound for DLOM. Majority abuses that hurt minority holders (excess comp and perks, favorable related-party dealings) are limited by courts' fiduciary duty rulings.

Calculator · Premiums & discounts

TrapsAdding discounts. Applying DLOM before DLOC. Applying a minority discount to a method that already yields a minority value (e.g. unadjusted guideline public). Treating acquisition premiums as pure control premiums.
Self-test: A private firm's control-basis DCF is $10M. Control premium 25%, DLOM 30%. Value a 15% non-marketable minority stake.DLOC = 1 − 1/1.25 = 20%. Marketable minority = 10 × 0.8 = 8.0M. Non-marketable = 8.0 × 0.7 = 5.6M (combined discount 44%). 15% stake = $0.84M.