I85PREP
⌘ K
CVA study materials
CVA study resources

CVA (Mile2 Cybersecurity Certifications) practice questions

One question at a time. Build your CVA understanding.

First 50 of 199 questions. Each one lists the choices, the correct answer, and an explanation. The checker at the top of this page saves progress in this browser when it is available.

Continue in the practice tool above to load more questions, 50 at a time.

Question 1Business Valuation

Under the income approach, which of the following best describes the relationship between a valuation's discount rate and the present value of a projected cash flow stream, all else equal?

  1. The discount rate has no effect on present value when cash flows are held constant
  2. A higher discount rate raises present value only when the terminal value exceeds the projection period cash flows
  3. A higher discount rate produces a lower present value because future cash flows are discounted more heavily Correct answer.
  4. A higher discount rate produces a higher present value because it reflects greater expected returns

Explanation

Discounting converts future cash flows into present value by dividing by a compounding factor built from the discount rate. Raising the rate increases that factor at every period, so each projected cash flow and the terminal value shrink in present-value terms. The relationship is inverse and monotonic, holding the cash flow forecast constant.

Question 2Business Valuation

An analyst capitalizes a normalized perpetuity using a capitalization rate. If normalized cash flow is 5,000,000 and the capitalization rate is 12.5%, what is the indicated value?

  1. 62,500,000
  2. 4,000,000
  3. 40,000,000 Correct answer.
  4. 625,000

Explanation

The direct capitalization formula divides a single normalized benefit by the capitalization rate: 5,000,000 divided by 0.125 equals 40,000,000. The cap rate embeds both the discount rate and expected long-term growth, so no separate growth adjustment is applied.

Question 3Business Valuation

Which valuation standard body issues the International Valuation Standards that are widely referenced in cross-border valuation engagements?

  1. The Financial Accounting Standards Board
  2. The International Accounting Standards Board
  3. The Appraisal Foundation
  4. The International Valuation Standards Council Correct answer.

Explanation

The International Valuation Standards Council publishes the International Valuation Standards, which set globally recognized requirements for valuation engagements and reporting. Accounting standard setters address measurement in financial statements, not valuation practice standards themselves.

Question 4Business Valuation

In the market approach, which transaction type generally requires the largest adjustments when applied to value a subject business?

  1. Prior arm's-length transactions in the subject company's own shares
  2. Initial public offerings of companies in unrelated industries
  3. Guideline public company transactions, because they reflect liquid minority shares
  4. Guideline merger and acquisition transactions, because they typically embed control premiums and synergies Correct answer.

Explanation

Merger and acquisition multiples usually reflect controlling interests and expected synergies, so applying them to a minority subject requires downward adjustments for control and synergy. Guideline public company data reflect minority, marketable shares and generally need fewer such adjustments.

Question 5Business Valuation

A valuator applies a discount for lack of marketability to a controlling interest in a private company. Which statement best describes the usual treatment?

  1. A marketability discount is generally not applied to controlling interests because control provides liquidity alternatives Correct answer.
  2. A marketability discount is replaced entirely by a control premium for controlling interests
  3. A marketability discount is generally applied to controlling interests at the same magnitude as to minority interests
  4. A marketability discount is applied only when the interest is also subject to a blocking restriction

Explanation

Control carries the ability to direct a sale, set distributions, or otherwise convert value into cash, which substantially reduces the illiquidity concern. Consequently many practitioners apply little or no marketability discount to controlling interests, reserving larger discounts for minority positions without exit influence.

Question 6Business Valuation

When estimating a company's weighted average cost of capital, which component is weighted using the market value of the firm's capital structure?

  1. Both the after-tax cost of debt and the cost of equity, each by its market value proportion Correct answer.
  2. The risk-free rate applied to total invested capital
  3. Only the cost of preferred equity
  4. Only the after-tax cost of debt

Explanation

WACC weights each capital component by its market value share of total capital and sums the after-tax cost of debt and the cost of equity. Market value weights are preferred because they reflect the current opportunity cost of each source of financing.

Question 7Business Valuation

Under the excess earnings method, which earnings figure is capitalized after deducting returns on net tangible assets and identified intangible assets?

  1. Net income before taxes
  2. Earnings attributable to the residual or unspecified intangible asset, often goodwill Correct answer.
  3. The terminal value of the reporting unit
  4. Gross revenue of the business unit

Explanation

The excess earnings method first allocates a fair return to contributory assets such as working capital, fixed assets, and identified intangibles. Whatever earnings remain are attributed to the residual intangible, commonly goodwill, and that residual is then capitalized.

Question 8Business Valuation

Which of the following is the most appropriate definition of fair value for financial reporting purposes in the United States?

  1. The highest price a strategic buyer could justify paying based on expected synergies
  2. The present value of the asset's cash flows using the reporting entity's internal hurdle rate
  3. The price that would be received to sell an asset in an orderly transaction between market participants at the measurement date Correct answer.
  4. The amount recorded on the seller's historical balance sheet net of accumulated depreciation

Explanation

Fair value for US financial reporting is an exit price in an orderly transaction between market participants at the measurement date. It is not entity-specific, so strategic synergies and internal hurdle rates are excluded.

Question 9Business Valuation

A company generates free cash flow to the firm of 8,000,000 in the coming year, expected to grow at 3% annually in perpetuity. Using a weighted average cost of capital of 11%, what is the indicated enterprise value under the Gordon growth model?

  1. 61,538,000
  2. 72,727,000
  3. 103,000,000
  4. 100,000,000 Correct answer.

Explanation

The Gordon growth formula is next-year cash flow divided by the spread between the discount rate and growth: 8,000,000 divided by (0.11 minus 0.03), or 0.08, equals 100,000,000. Using next-year rather than current-year cash flow avoids a one-period timing error.

Question 10Business Valuation

Which statement about the guideline public company method is most accurate?

  1. It derives value from trading prices of shares in comparable publicly traded companies Correct answer.
  2. It derives value solely from the subject company's historical earnings growth
  3. It derives value from prices paid for entire companies in change-of-control transactions
  4. It derives value from the book value of comparable companies' equity

Explanation

The guideline public company method uses market prices of publicly traded shares in comparable firms to derive pricing multiples. Because those shares trade as minority interests, the resulting indication typically reflects a minority, marketable basis.

Question 11Business Valuation

An analyst builds a buildup method cost of equity. Which component is added to the risk-free rate to compensate for the risk of investing in small companies?

  1. A country risk premium
  2. A company-specific risk premium
  3. A size premium Correct answer.
  4. An equity risk premium

Explanation

The size premium compensates investors for the higher expected returns historically associated with smaller companies. It is added separately from the general equity risk premium and from premiums for country or company-specific risk.

Question 12Business Valuation

A controlling shareholder of a private company holds 70% of the voting shares. Which characteristic most directly supports treating this interest as a controlling interest?

  1. The holder receives a fixed preferred dividend
  2. The holder has tag-along rights on a sale by others
  3. The holder can elect the board and direct operating and financial policies Correct answer.
  4. The holder has a right of first refusal on transfers

Explanation

Control is defined by the ability to direct the entity's affairs, which a 70% voting stake typically confers through board election and policy decisions. Fixed dividends, transfer rights, and tag-along provisions are minority protections and do not by themselves establish control.

Question 13Business Valuation

Which of the following best explains why an analyst might select a discounted cash flow method over a market multiple method for valuing a company with unique intangible assets?

  1. The discounted cash flow method can capture entity-specific cash flow drivers that comparable companies may not share Correct answer.
  2. The market approach cannot be applied to private companies
  3. The discounted cash flow method requires no assumptions about growth
  4. The discounted cash flow method eliminates the need for a discount rate

Explanation

A discounted cash flow model projects the subject's own operating drivers, so it can reflect unique intangibles and competitive advantages that peer multiples may not capture. Market multiples rely on comparability, which is weakest when the subject's economics are distinctive.

Question 14Business Valuation

In a discounted cash flow model, which cash flow measure is discounted at the weighted average cost of capital?

  1. Net income after preferred dividends
  2. Free cash flow to the firm Correct answer.
  3. Dividends declared to common shareholders
  4. Free cash flow to equity

Explanation

Free cash flow to the firm is the cash available to all capital providers, so it is discounted at a blended cost of all capital, the WACC. Equity cash flow measures must instead be discounted at the cost of equity to avoid a mismatch.

Question 15Business Valuation

Which of the following most accurately describes the result of applying a control premium to a minority trading price?

  1. It converts a controlling indication into a minority indication
  2. It removes the effect of marketability from the value indication
  3. It converts a minority, marketable indication into an indication of a controlling interest Correct answer.
  4. It adjusts for differences in the size of the subject company

Explanation

A control premium reflects the additional amount a buyer pays to obtain control over a minority trading price. Adding it to a minority, marketable value moves the indication to a controlling level of value.

Question 16Business Valuation

In the asset-based approach, which of the following is used to value an assembled workforce when preparing an enterprise-level valuation?

  1. It is recorded at the present value of future salary payments
  2. It is valued using the guideline public company method
  3. It is recorded at the historic cost of recruiting and training
  4. It is generally not recognized as a separate asset because the workforce cannot be sold apart from the enterprise Correct answer.

Explanation

An assembled workforce is not separable from the business and therefore is not recognized as a separate identifiable intangible asset in an enterprise valuation. Its value is captured implicitly in the residual goodwill or in the enterprise's cash flows.

Question 17Business Valuation

Which of the following best characterizes a valuation performed on a noncontrolling, nonmarketable basis?

  1. It reflects the liquidation value of the company's net assets
  2. It reflects the full enterprise value because all shareholders own the enterprise jointly
  3. It reflects a pro rata share of enterprise value with a control premium added
  4. It reflects a pro rata share of enterprise value with discounts for lack of control and lack of marketability Correct answer.

Explanation

A noncontrolling interest typically begins with a pro rata share of enterprise or equity value and then reflects discounts for the absence of control and for illiquidity. These discounts recognize the limited influence and exit flexibility of a minority holder.

Question 18Business Valuation

An analyst estimates that the subject's beta is 1.4, the risk-free rate is 4%, and the equity risk premium is 5.5%. Using the capital asset pricing model, what is the cost of equity?

  1. 11.7% Correct answer.
  2. 7.7%
  3. 13.1%
  4. 9.5%

Explanation

The capital asset pricing model adds the risk-free rate to beta times the equity risk premium: 4% plus 1.4 times 5.5%, which is 7.7%, giving 11.7%. Beta scales the market premium to the subject's systematic risk.

Question 19Business Valuation

Which of the following is the principal reason a valuator normalizes a private company's historical financial statements before applying a valuation method?

  1. To convert the statements from the accrual to the cash basis
  2. To eliminate the need for a terminal value calculation
  3. To restate the statements in accordance with the latest accounting pronouncements
  4. To remove nonrecurring items and adjust owner compensation to market levels so earnings reflect sustainable economic performance Correct answer.

Explanation

Normalization adjusts reported results for nonrecurring events, discretionary owner compensation, and related-party terms so that earnings represent ongoing economic capacity. Valuation methods then apply to a sustainable benefit stream rather than to accounting artifacts.

Question 20Business Valuation

A company reports earnings before interest, taxes, depreciation, and amortization of 12,000,000 and has a capital structure with 30,000,000 of debt and 50,000,000 of equity at market value. Comparable companies trade at an average enterprise value to EBITDA multiple of 8.0. What enterprise value does the multiple indicate?

  1. 64,000,000
  2. 120,000,000
  3. 80,000,000
  4. 96,000,000 Correct answer.

Explanation

An enterprise value to EBITDA multiple is applied to EBITDA: 12,000,000 times 8.0 equals 96,000,000 of enterprise value. Equity value would then be derived by subtracting debt, but the question asks for the enterprise indication.

Question 21Business Valuation

Which statement about the treatment of the terminal value in a discounted cash flow model is most accurate?

  1. Terminal value is calculated using the historical average growth rate of gross domestic product without further adjustment
  2. Terminal value is ignored when the projection period exceeds five years
  3. Terminal value is discounted from the end of the projection period using the same discount rate applied to interim cash flows Correct answer.
  4. Terminal value is added to the final year cash flow without discounting because it occurs at the end of the projection

Explanation

The terminal value represents value at the end of the explicit forecast and must be discounted back to the valuation date at the same rate used for interim cash flows. Failing to discount it materially overstates value.

Question 22Business Valuation

Which of the following best describes the relationship between a minority discount and a control premium?

  1. A minority discount applies only to publicly traded shares
  2. A minority discount is mathematically the exact reciprocal of the control premium derived from the same transaction
  3. A minority discount is applied to a controlling value to derive a minority value, and is not simply the control premium with a reversed sign Correct answer.
  4. A minority discount and a control premium are unrelated adjustments applied to different bases of value

Explanation

A control premium is measured relative to a minority trading price, while a minority discount is measured relative to a controlling value. Because the two use different denominators, converting one to the other requires a formula rather than a simple sign change.

Question 23Business Valuation

In a purchase price allocation, which of the following best describes the residual method for valuing goodwill?

  1. Goodwill equals the present value of the target's projected cash flows
  2. Goodwill equals the difference between book value and tax basis of the acquired assets
  3. Goodwill equals the excess of the purchase consideration over the fair value of identified net assets acquired Correct answer.
  4. Goodwill equals the fair value of the assembled workforce plus deferred taxes

Explanation

Under the residual method, identified assets and liabilities are measured at fair value, and any remaining consideration is assigned to goodwill. Goodwill therefore captures value not attributable to separately identifiable assets.

Question 24Business Valuation

Which of the following best explains why the guideline transaction method may produce a higher value indication than the guideline public company method for the same subject?

  1. Transaction data are always more recent than trading data
  2. Transaction multiples are computed on pre-tax rather than after-tax earnings
  3. Transaction prices typically include a premium for control and expected synergies that trading prices do not reflect Correct answer.
  4. Trading prices are based on book value rather than market expectations

Explanation

Acquisition prices reflect what a buyer paid to obtain control, often including anticipated synergies, whereas trading prices reflect minority share prices. This difference commonly produces a higher indication from transaction data before adjustments.

Question 25Business Valuation

Which of the following is the most appropriate treatment of a company's nonoperating assets, such as excess cash, in an enterprise valuation?

  1. Value them separately and add them to the operating enterprise value Correct answer.
  2. Exclude them entirely from the valuation
  3. Deduct them from enterprise value as a debt-like item
  4. Include them in the operating cash flows used in the discounted cash flow model

Explanation

Nonoperating assets do not generate the operating cash flows being discounted, so they are valued separately and added to the operating enterprise value. This prevents double counting and keeps the operating forecast focused on the business.

Question 26Business Valuation

Which valuation standard hierarchy ranks the three approaches and requires the valuer to consider all three before selecting a method?

  1. The three approaches carry equal standing, and the valuer selects and weights them by relevance and data quality. Correct answer.
  2. The asset-based approach is mandatory for all private companies regardless of going-concern status.
  3. The market approach always dominates when public comparables exist for any industry.
  4. The income, market, and asset-based approaches are ranked in that fixed order of preference.

Explanation

Professional standards treat the income, market, and asset-based approaches as equally acceptable, and the valuer must consider each before choosing. Selection and weighting depend on the nature of the subject interest, the purpose of the engagement, and the quality of available data. No approach is inherently superior.

Question 27Business Valuation

A valuation engagement defines the standard of value as fair market value. Which pair of parties does the hypothetical transaction in that definition assume?

  1. The actual buyer and seller named in a pending letter of intent
  2. A government authority and a taxpayer settling a transfer price
  3. A hypothetical willing buyer and a hypothetical willing seller, neither under compulsion Correct answer.
  4. A strategic buyer and a distressed seller under time pressure

Explanation

Fair market value is defined around a hypothetical willing buyer and willing seller, both reasonably informed and neither under compulsion, with the price expressed in cash or cash equivalents. It does not depend on the specific parties to an actual transaction. Actual transaction prices may differ and require separate consideration.

Question 28Business Valuation

An analyst applies a marketability discount to a minority interest in a private company. Which characteristic of the interest does that discount most directly address?

  1. The absence of a ready public market for the shares Correct answer.
  2. The risk that projected cash flows will not be achieved
  3. The company's exposure to cyclical revenue swings
  4. The buyer's inability to control dividend policy

Explanation

A discount for lack of marketability reflects the cost and delay of converting an ownership interest into cash when no ready market exists. It is distinct from discounts tied to control or to operating risk. Control and business risk are addressed through separate adjustments or through the discount rate.

Question 29Business Valuation

In the income approach, which pairing of cash flow measure and discount rate is internally consistent?

  1. Net income discounted at the after-tax cost of debt
  2. Free cash flow to equity discounted at the weighted average cost of capital
  3. Free cash flow to the firm discounted at the cost of equity
  4. Free cash flow to the firm discounted at the weighted average cost of capital Correct answer.

Explanation

The discount rate must match the cash flow's claimholders. Free cash flow to the firm belongs to all capital providers and is discounted at the weighted average cost of capital, while free cash flow to equity is discounted at the cost of equity. Mixing the two produces a systematic mismatch.

Question 30Business Valuation

Which statement best describes the Gordon growth model's role in a discounted cash flow valuation?

  1. It estimates terminal value by capitalizing a normalized cash flow at a rate equal to the discount rate minus long-run growth. Correct answer.
  2. It capitalizes a single normalized earnings figure without any growth assumption.
  3. It replaces the explicit forecast period entirely when growth is stable.
  4. It sets the discount rate equal to the long-term growth rate for mature companies.

Explanation

The Gordon growth model computes terminal value as the next period's normalized cash flow divided by the spread between the discount rate and the perpetual growth rate. It applies after the explicit forecast horizon. The perpetual growth rate must remain below the discount rate and is typically bounded by long-run nominal GDP growth.

Question 31Business Valuation

A private company pays its owner-manager a salary well above market for the role performed. How should a valuator treat this in normalizing earnings?

  1. Add the entire salary back to earnings as a nonrecurring item
  2. Replace the excess with a market-level compensation for the role and adjust earnings accordingly Correct answer.
  3. Deduct the excess salary a second time as a control adjustment
  4. Leave the reported salary unchanged because it is an actual historical expense

Explanation

Normalization restates earnings to what a hypothetical buyer would experience. Owner compensation above a market rate for the services actually rendered is replaced with a market rate, and the difference increases normalized earnings. The adjustment reflects economic reality rather than reported expense.

Question 32Business Valuation

Which item is typically classified as a nonoperating asset when valuing an operating company under the income approach?

  1. Excess cash beyond the operating requirement Correct answer.
  2. Accounts receivable from core customers
  3. Prepaid insurance for the coming year
  4. Inventory held for sale in the ordinary course

Explanation

Nonoperating assets do not support the projected operating cash flows and are therefore valued separately and added to the operating enterprise value. Excess cash beyond the amount needed for working capital and capital expenditure is the classic example. Operating working capital items are already embedded in the cash flow forecast.

Question 33Business Valuation

Which method values each identifiable asset and liability at fair value and assigns the residual to goodwill in a business combination?

  1. The guideline public company method
  2. The purchase price allocation under the acquisition method Correct answer.
  3. The prior transaction method
  4. The excess earnings method

Explanation

Under the acquisition method, the acquirer recognizes identifiable assets acquired and liabilities assumed at acquisition-date fair value, with any residual excess of consideration transferred assigned to goodwill. Goodwill is thus a residual, not a separately identified intangible. The other methods value an entity or interest rather than allocating a transaction price.

Question 34Business Valuation

A subject company's beta is 1.2, the risk-free rate is 4.0%, and the equity risk premium is 6.0%. Using the capital asset pricing model, what is the cost of equity?

  1. 13.6%
  2. 7.2%
  3. 10.0%
  4. 11.2% Correct answer.

Explanation

The CAPM cost of equity equals the risk-free rate plus beta times the equity risk premium, or 4.0% + 1.2 × 6.0% = 11.2%. The beta scales the premium for systematic risk. Multiplying the risk-free rate by beta or adding beta directly to the premium produces incorrect results.

Question 35Business Valuation

An analyst uses the modified capital asset pricing model for a private company. Which adjustment does that model introduce relative to the standard capital asset pricing model?

  1. A debt weighting that replaces the equity weighting in the WACC
  2. A company-specific risk premium added to the cost of equity Correct answer.
  3. A size premium added to the cost of equity
  4. A beta of zero for all private companies

Explanation

The modified CAPM adds a company-specific or unsystematic risk premium to the CAPM result to capture risks not reflected in beta, which is common for small private companies. The size premium is a separate adjustment associated with the buildup and expanded CAPM methods. Each premium must be supported and not double-counted.

Question 36Business Valuation

A company has a capital structure of 60% debt and 40% equity by market value, a pre-tax cost of debt of 6%, a cost of equity of 14%, and a 25% tax rate. What is the WACC?

  1. 9.5% Correct answer.
  2. 8.6%
  3. 11.0%
  4. 10.4%

Explanation

WACC weights the after-tax cost of debt and the cost of equity by market value proportions: 0.60 × 6% × (1 − 0.25) + 0.40 × 14% = 2.7% + 5.6% = 8.3%. Recomputing carefully with these inputs gives the after-tax debt component of 2.7% and the equity component of 5.6%. The result demonstrates why the tax shield on debt lowers the blended rate.

Question 37Business Valuation

When applying the guideline public company method, which adjustment is most commonly required before comparing multiples to the subject company?

  1. Applying a control premium to every comparable company's trading price
  2. Adjusting comparables' multiples for differences in growth, margin, and size relative to the subject Correct answer.
  3. Converting all comparables to an asset-based value indication
  4. Restating the subject's historical financials to the comparables' fiscal year end only

Explanation

Public comparables rarely match the subject on growth, profitability, size, and risk, so the observed multiples are adjusted to improve comparability before application. The adjustment direction depends on whether the subject is stronger or weaker on the relevant driver. Failing to adjust transfers the comparables' characteristics to the subject.

Question 38Business Valuation

An analyst derives a valuation using the guideline transaction method and a second using the guideline public company method. The transaction method result is materially higher. Which explanation is most consistent with valuation theory?

  1. Transaction data are always more recent than public company trading data
  2. Public company multiples are computed on pre-tax earnings while transaction multiples are after-tax
  3. Transaction multiples reflect acquired controlling interests and often embed synergies and control premiums Correct answer.
  4. Transaction multiples exclude the effect of market cycles by construction

Explanation

Guideline transaction multiples come from acquisitions of controlling interests, so they typically embed control premiums and any buyer-specific synergies. Guideline public company multiples reflect minority trading prices. Comparing the two requires adjusting for these differences before selecting a conclusion.

Question 39Business Valuation

A controlling interest in a private company is valued, and the valuator must derive a minority interest value from it. Which adjustment is appropriate?

  1. Apply both a control premium and a minority discount to the same value
  2. Apply a marketability discount only, with no control-related adjustment
  3. Apply a control premium to the controlling value
  4. Apply a minority interest discount derived from observed control premiums Correct answer.

Explanation

When moving from a controlling value to a minority value, a minority interest discount is applied. It is commonly derived from observed control premiums using the relationship discount = premium ÷ (1 + premium). Applying both a premium and a discount to the same base would double count.

Question 40Business Valuation

An observed control premium is 30%. Using the standard relationship, what minority interest discount corresponds to that premium?

  1. 30.0%
  2. 18.5%
  3. 23.1% Correct answer.
  4. 42.9%

Explanation

The minority discount implied by a control premium is premium ÷ (1 + premium), or 0.30 ÷ 1.30 = 23.1%. The relationship ensures that applying the discount to the controlling value and then the premium to the minority value returns the original controlling value. Simply using the premium as the discount overstates the adjustment.

Question 41Business Valuation

A company reports depreciation of 5,000,000 and capital expenditures of 7,000,000 in the forecast year. How should the analyst treat these items in deriving free cash flow to the firm?

  1. Ignore both items because they do not affect cash
  2. Add back depreciation only, treating capital expenditures as a financing flow
  3. Add back depreciation and deduct capital expenditures, reflecting that capital spending exceeds the noncash charge Correct answer.
  4. Deduct depreciation and add capital expenditures because both are noncash

Explanation

Free cash flow to the firm starts from after-tax operating profit, adds back the noncash depreciation charge, and deducts capital expenditures. When capital spending exceeds depreciation, the difference represents net reinvestment that reduces cash available to capital providers. This is consistent with a growing asset base.

Question 42Business Valuation

Which statement about the excess earnings method is most accurate?

  1. It requires guideline public company multiples as its primary input
  2. It values an intangible by capitalizing earnings remaining after deducting returns on contributory assets Correct answer.
  3. It values only tangible assets and ignores intangible contributory assets
  4. It capitalizes total entity earnings at the WACC without identifying individual assets

Explanation

The excess earnings method isolates the earnings attributable to a specific intangible by deducting fair returns on all contributory assets, including working capital, fixed assets, and other intangibles. The residual earnings are then capitalized at a rate reflecting the intangible's risk. It is often used for customer relationships and developed technology.

Question 43Business Valuation

A company's net income is 4,000,000, its equity value is 40,000,000, and its invested capital is 60,000,000. Based only on these figures, which statement is accurate?

  1. The price-to-earnings multiple is 10.0x and the invested capital to net income ratio is 15.0x
  2. The price-to-earnings multiple is 15.0x and the invested capital to net income ratio is 10.0x
  3. The price-to-earnings multiple is 10.0x and the invested capital to net income ratio is 6.7x Correct answer.
  4. The price-to-earnings multiple is 6.7x and the invested capital to net income ratio is 15.0x

Explanation

The price-to-earnings multiple equals equity value divided by net income, or 40,000,000 ÷ 4,000,000 = 10.0x. The invested capital to net income ratio is 60,000,000 ÷ 4,000,000 = 15.0x. Note that mixing equity value with invested capital in a single multiple would be inconsistent.

Question 44Business Valuation

An analyst values a minority, nonmarketable interest and applies a discount for lack of control and a discount for lack of marketability. How should the two discounts generally be applied?

  1. Apply the marketability discount first and then ignore the control discount
  2. Add the two discount percentages and apply the sum once
  3. Apply only the larger of the two discounts
  4. Apply them sequentially to the same base, so the combined effect is less than the sum Correct answer.

Explanation

When both discounts apply, they are applied sequentially to the same value base, so the combined effect is multiplicative and less than the arithmetic sum. Adding percentages overstates the total adjustment. The order of application affects the arithmetic slightly but not the principle.

Question 45Business Valuation

Which premise of value is appropriate when the subject business is expected to continue operating and its value depends on its assembled assets and workforce?

  1. Replacement cost new
  2. Liquidation value
  3. Going-concern value Correct answer.
  4. Orderly liquidation value

Explanation

Going-concern value assumes the business continues to operate and derives value from its assembled assets, workforce, and customer relationships. Liquidation premises assume operations cease and assets are sold individually. The premise selected must be consistent with the engagement's purpose and the entity's circumstances.

Question 46Business Valuation

A valuer must select a discount rate for a small, closely held manufacturer with concentrated customer relationships. Which consideration most directly supports a higher company-specific risk premium?

  1. The company's use of accelerated depreciation for tax purposes
  2. The concentration of revenue among a few customers that could be lost Correct answer.
  3. The availability of a line of credit at a market interest rate
  4. The company's history of paying dividends to its owners

Explanation

Company-specific risk premiums capture risks not reflected in beta or size, such as customer concentration, key-person dependence, and supplier dependence. Concentrated revenue makes future cash flows less predictable and supports a higher premium. Tax depreciation and dividend history do not by themselves increase unsystematic risk.

Question 47Business Valuation

An analyst observes that a guideline company trades at 12.0x EBITDA and has a 20% EBITDA margin, while the subject has a 10% EBITDA margin. Which adjustment direction is most defensible when applying the multiple?

  1. Adjust the multiple downward to reflect the subject's lower margin and growth prospects Correct answer.
  2. Apply the multiple to the subject's revenue rather than EBITDA
  3. Adjust the multiple upward because a lower margin implies greater upside
  4. Apply the 12.0x multiple unchanged because margin differences are captured in EBITDA

Explanation

Multiples embed the profitability, growth, and risk profile of the guideline companies. A subject with half the margin typically warrants a lower EBITDA multiple because each dollar of EBITDA represents a less efficient operation with less cushion. The analyst should document the adjustment and support it with data.

Question 48Business Valuation

A valuer is reconciling value indications from the income and market approaches for a controlling interest. Which factor most appropriately justifies weighting the income approach more heavily?

  1. The subject has reliable projections and the guideline companies differ materially in size and business mix Correct answer.
  2. The market approach produced a higher value indication than the income approach
  3. The guideline companies' data are more recent than the subject's projections
  4. The income approach is always weighted more heavily for controlling interests

Explanation

Weighting should reflect the reliability and relevance of each method's inputs. Reliable projections combined with poorly comparable guideline companies support greater weight on the income approach. The relative magnitude of the indications is not itself a reason to weight one method more heavily.

Question 49Business Valuation

A company has an enterprise value of 100,000,000, debt of 30,000,000, cash of 10,000,000, and a 40% equity interest is being valued. Assuming no control or marketability adjustments, what is the value of the 40% interest?

  1. 28,000,000
  2. 32,000,000 Correct answer.
  3. 36,000,000
  4. 40,000,000

Explanation

Equity value equals enterprise value minus debt plus cash, or 100,000,000 − 30,000,000 + 10,000,000 = 80,000,000. The 40% interest is 40% × 80,000,000 = 32,000,000 before any discounts or premiums. Using enterprise value directly would incorrectly include debt holders' claims.

Question 50Business Valuation

Which situation most strongly indicates that the asset-based approach should be the primary method for valuing a private company?

  1. The company is a going concern with stable, predictable earnings and many public comparables
  2. The company is a service business whose value depends primarily on its assembled workforce
  3. The company is an investment holding entity whose value derives mainly from its portfolio of marketable securities Correct answer.
  4. The company is a high-growth technology firm with negative current earnings and strong projected cash flows

Explanation

For an investment holding company, value is driven by the fair value of its underlying assets rather than by operating earnings, making the asset-based approach primary. Going concerns with predictable earnings are better served by the income or market approach. The asset-based approach is also used where earnings are not meaningful.