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Question 1Business Valuation

Under the income approach, which discount rate concept is applied to expected future cash flows to arrive at a present value in a business valuation?

  1. The coupon rate on the subject company's outstanding long-term debt
  2. The historical average return on the subject company's equity securities
  3. A rate reflecting the time value of money plus a premium for the risk of the cash flows Correct answer.
  4. The risk-free rate alone, without any company-specific adjustment

Explanation

A discount rate converts expected future cash flows into a present value by combining the time value of money with compensation for the riskiness of those specific cash flows. It is forward-looking and matched to the cash flow stream being discounted, not to historical returns or debt coupon rates.

Question 2Business Valuation

In the market approach, what is the primary purpose of applying valuation multiples derived from guideline public companies?

  1. To determine the subject company's weighted average cost of capital
  2. To adjust the subject company's financial statements to a fair value basis
  3. To project the subject company's future free cash flows
  4. To estimate the subject company's value by reference to pricing of comparable businesses Correct answer.

Explanation

The market approach values a business by comparing it to the pricing of similar companies using multiples such as EV/EBITDA or price-to-earnings. The multiples are applied to the subject company's own metric to infer an indication of value.

Question 3Business Valuation

When using the asset-based approach for a going-concern business, how is the value typically derived?

  1. By discounting projected free cash flows at the weighted average cost of capital
  2. By applying a control premium to the company's publicly traded share price
  3. By subtracting total liabilities from the fair value of assets, after adjusting recorded assets and liabilities Correct answer.
  4. By capitalizing the company's normalized earnings at the industry average multiple

Explanation

The asset-based approach restates assets and liabilities to fair value and then nets liabilities against assets to reach an indicated equity value. It is most relevant when the business is asset-intensive or when a going-concern premise is questionable.

Question 4Business Valuation

Which standard of value assumes a hypothetical buyer and seller, each acting with reasonable knowledge and without compulsion?

  1. Intrinsic value
  2. Investment value
  3. Liquidation value
  4. Fair market value Correct answer.

Explanation

Fair market value is defined around a hypothetical willing buyer and willing seller, both reasonably informed and not under compulsion, in an open market. Other standards such as investment value are specific to a particular owner or buyer.

Question 5Business Valuation

In the build-up method for estimating the cost of equity, which component is added first to the risk-free rate?

  1. The company-specific risk premium
  2. The equity risk premium Correct answer.
  3. The size premium
  4. The industry risk premium

Explanation

The build-up method starts with the risk-free rate and adds the equity risk premium for the broad market, then adds size, industry, and company-specific premiums as applicable. The equity risk premium is the base market compensation added immediately after the risk-free rate.

Question 6Business Valuation

Which of the following best describes the guideline transaction method?

  1. Deriving a discount rate from the yields on comparable corporate bonds
  2. Deriving multiples from prices paid in acquisitions of comparable companies Correct answer.
  3. Deriving multiples from the trading prices of publicly held comparable companies
  4. Deriving value from the replacement cost of the subject company's assets

Explanation

The guideline transaction method uses multiples implied by actual acquisition prices for similar businesses, which may embed control premiums and synergies. It differs from the guideline public company method, which relies on minority trading prices.

Question 7Business Valuation

What does a control premium represent in a business valuation?

  1. The additional return required for investing in small companies
  2. The amount by which a controlling interest exceeds a minority interest in value Correct answer.
  3. The discount applied to a minority interest for lack of marketability
  4. The excess of fair value over book value of acquired net assets

Explanation

A control premium reflects the additional value of the ability to direct the business, including control over decisions and cash flows. It is measured as the increment of a controlling interest over a comparable minority interest.

Question 8Business Valuation

Which financial statement adjustment is commonly made to normalize the earnings of a closely held company?

  1. Removing nonrecurring and discretionary owner-related expenses Correct answer.
  2. Reclassifying long-term debt as current
  3. Recognizing unrealized gains on trading securities
  4. Converting inventory from FIFO to LIFO

Explanation

Normalization removes items that are nonrecurring or that reflect the owner's personal discretion, such as excessive compensation or personal expenses, so earnings reflect ongoing operations. The resulting normalized earnings are then used in income and market approach analyses.

Question 9Business Valuation

A valuator estimates a normalized EBITDA of $2,000,000 and selects an EV/EBITDA multiple of 6.0x from guideline public companies. What enterprise value results before any adjustments?

  1. $12,000,000 Correct answer.
  2. $3,000,000
  3. $8,000,000
  4. $6,000,000

Explanation

Enterprise value under the market approach equals the EBITDA metric multiplied by the selected multiple. Multiplying $2,000,000 by 6.0x yields $12,000,000, before consideration of any control premium or marketability discount.

Question 10Business Valuation

A company has a market value of equity of $30,000,000 and interest-bearing debt of $10,000,000 with no excess cash. What is its enterprise value?

  1. $40,000,000 Correct answer.
  2. $10,000,000
  3. $30,000,000
  4. $20,000,000

Explanation

Enterprise value equals market value of equity plus interest-bearing debt less excess cash. With no excess cash, adding $30,000,000 of equity value and $10,000,000 of debt gives $40,000,000.

Question 11Business Valuation

Under the discounted cash flow method, which cash flow stream is discounted at the weighted average cost of capital?

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

Explanation

Free cash flow to the firm represents cash available to all capital providers and is therefore discounted at the weighted average cost of capital. Free cash flow to equity is discounted at the cost of equity instead.

Question 12Business Valuation

A company has 60% equity funded at a 14% cost of equity and 40% debt funded at a 6% pre-tax cost of debt, with a 25% tax rate. What is its weighted average cost of capital?

  1. 9.6%
  2. 8.4%
  3. 12.0%
  4. 10.2% Correct answer.

Explanation

WACC equals the equity weight times the cost of equity plus the debt weight times the after-tax cost of debt. That is 0.60 x 14% plus 0.40 x 6% x (1 - 0.25) = 8.4% plus 1.8% = 10.2%.

Question 13Business Valuation

In the excess earnings method, what is the first step in deriving the value of intangible assets?

  1. Subtract total liabilities from the fair value of all assets
  2. Capitalize the company's total net income at the industry multiple
  3. Estimate the required return on the company's net tangible assets Correct answer.
  4. Apply a marketability discount to normalized earnings

Explanation

The excess earnings method first determines a fair return on the net tangible assets employed in the business. Any earnings above that required return are attributed to intangible assets and then capitalized to derive their value.

Question 14Business Valuation

A valuator applies a 25% discount for lack of marketability to an indicated minority equity value of $4,000,000. What is the resulting value?

  1. $5,000,000
  2. $3,000,000 Correct answer.
  3. $1,000,000
  4. $3,200,000

Explanation

A discount for lack of marketability reduces the indicated value by the discount percentage. Applying 25% to $4,000,000 removes $1,000,000, leaving a value of $3,000,000.

Question 15Business Valuation

Which of the following is the most appropriate reason to apply a discount for lack of control to a subject interest?

  1. The company's cash flows are unusually stable and predictable
  2. The interest carries voting control over board decisions
  3. The interest represents a minority position without the ability to direct the business Correct answer.
  4. The subject company's shares are freely traded on a national exchange

Explanation

A discount for lack of control reflects the reduced influence a minority owner has over business decisions and cash flow distributions. It is applied to minority interests and is not appropriate where the interest conveys control.

Question 16Business Valuation

In the guideline public company method, what does the selected multiple typically require adjustment for when compared to the subject company?

  1. Differences in size, growth, and profitability between the guideline companies and the subject Correct answer.
  2. The subject company's book value of equity relative to par value of its stock
  3. The historical coupon structure of the subject company's outstanding bonds
  4. The number of shareholders of record in the subject company

Explanation

Guideline multiples must be adjusted to reflect differences between the guideline companies and the subject in factors such as size, growth prospects, profitability, and risk. Without these adjustments, the applied multiple may not reflect the subject's specific characteristics.

Question 17Business Valuation

A valuator must choose between a controlling interest basis and a minority interest basis for a valuation engagement. Which factor most directly determines the appropriate basis?

  1. The subject company's historical dividend payout policy
  2. The industry average price-to-earnings ratio for the prior year
  3. The ownership rights and degree of control conveyed by the subject interest Correct answer.
  4. The length of the subject company's operating history

Explanation

The basis of value must match the ownership rights of the interest being valued, since control affects the cash flows and decisions available to the owner. Payout policy, operating history, and industry averages inform risk and normalization but do not define the control basis.

Question 18Business Valuation

Which capitalization rate is appropriate when a normalized earnings figure of $500,000 is expected to grow at a constant 3% per year, given a discount rate of 13%?

  1. 3%
  2. 16%
  3. 13%
  4. 10% Correct answer.

Explanation

Under the Gordon growth model, the capitalization rate equals the discount rate minus the expected long-term growth rate. Subtracting 3% growth from the 13% discount rate produces a 10% capitalization rate.

Question 19Business Valuation

A company reports net income of $800,000, including a one-time gain of $150,000 and excess owner compensation of $100,000 above market. What is normalized net income?

  1. $900,000
  2. $850,000
  3. $650,000
  4. $750,000 Correct answer.

Explanation

Normalization removes the nonrecurring gain and adds back the excess owner compensation. Starting from $800,000, subtracting the $150,000 gain and adding the $100,000 excess compensation yields $750,000.

Question 20Business Valuation

A valuator computes an indicated value of $5,000,000 on a marketable, minority basis and must convert it to a nonmarketable, minority basis. Which adjustment is appropriate?

  1. Apply a blockage discount
  2. Apply a minority interest discount
  3. Apply a discount for lack of marketability Correct answer.
  4. Apply a control premium

Explanation

Moving from a marketable basis to a nonmarketable basis requires a discount for lack of marketability to reflect the difficulty of selling the interest. Control premiums and minority discounts address control, not marketability.

Question 21Business Valuation

Two guideline companies are otherwise comparable, but one trades at a materially higher EV/EBITDA multiple. Which explanation is most consistent with efficient pricing in the market approach?

  1. The higher-multiple company has stronger expected growth and lower operating risk Correct answer.
  2. The higher-multiple company has a longer fiscal year-end reporting cycle
  3. The higher-multiple company reports a larger number of common shares outstanding
  4. The higher-multiple company uses a different depreciation method for tax purposes

Explanation

Multiples embed expectations about growth, profitability, and risk, so a company with stronger growth and lower risk can command a higher multiple. Share count, fiscal calendar, and tax depreciation method do not by themselves explain differences in enterprise value multiples.

Question 22Business Valuation

A valuator reconciles income approach and market approach indications that differ by 30%. Which practice best supports a defensible concluded value?

  1. Discard the income approach because it relies on projections
  2. Weight the indications based on the quality and relevance of each method's inputs and document the rationale Correct answer.
  3. Select the higher indication to avoid understating value
  4. Average the two indications equally regardless of data reliability

Explanation

Reconciliation requires judgment about the reliability and relevance of each method's inputs, with the weighting rationale documented in the report. Mechanical averaging or selecting the higher value disregards the relative quality of the evidence.

Question 23Business Valuation

When estimating a company-specific risk premium in the build-up method, which approach is most defensible?

  1. Use the company's most recent year-over-year revenue growth rate as the premium
  2. Use the difference between the company's historical return on equity and the industry average
  3. Assess factors such as customer concentration, management depth, and access to capital, and support the premium with evidence Correct answer.
  4. Apply a fixed 5% premium to all privately held companies

Explanation

A company-specific risk premium should reflect identifiable, company-specific risk factors that are not captured by the market, size, or industry premiums. The selected premium must be supported by evidence and reasoning rather than a fixed rule or a single historical metric.

Question 24Business Valuation

A subject company holds significant nonoperating assets, including excess cash and vacant land. How should these be treated in an enterprise value to equity value bridge?

  1. Include them in the operating working capital used to project free cash flow
  2. Subtract their fair value from the operating enterprise value
  3. Exclude them entirely because they do not generate operating income
  4. Add their fair value to the operating enterprise value to derive equity value Correct answer.

Explanation

Nonoperating assets are excluded from the operating cash flows used to derive enterprise value and are then added at fair value in the bridge to equity value. This ensures the owners receive credit for assets that do not contribute to operating earnings.

Question 25Business Valuation

Which situation most clearly indicates that the asset-based approach should be weighted heavily in a valuation?

  1. The company's earnings are stable and highly predictable year over year
  2. The company is a fast-growing technology firm with minimal tangible assets
  3. The company derives most of its value from a trained workforce and brand recognition
  4. The company is an asset-intensive holding entity whose earnings do not reflect the value of its underlying assets Correct answer.

Explanation

The asset-based approach is most relevant when asset values dominate and earnings do not adequately capture the value of the underlying holdings, such as in asset-intensive or holding companies. For firms whose value lies in intangibles or predictable earnings, income and market approaches are usually more informative.

Question 26Business Valuation

In business valuation, what does the income approach primarily convert into an indication of value?

  1. Expected future economic benefits discounted or capitalized to present value Correct answer.
  2. The book value of shareholders' equity adjusted for inflation
  3. The transaction prices of comparable companies in the public market
  4. The current replacement cost of the subject company's operating assets

Explanation

The income approach derives value from the present worth of expected future economic benefits, using either a discounting or a capitalization process. It rests on the principle that an investor's value today reflects anticipated cash flows and the risk attached to them. The other approaches rely on market evidence or asset costs rather than projected benefits.

Question 27Business Valuation

Which premise of value assumes a hypothetical sale in which neither buyer nor seller is under compulsion and both are reasonably informed?

  1. Going concern value
  2. Liquidation value
  3. Investment value
  4. Fair market value Correct answer.

Explanation

Fair market value is defined around a hypothetical willing buyer and willing seller, neither compelled, each reasonably informed and acting prudently. It is the most common standard in business valuation engagements. The other premises describe forced sale conditions, value to a particular owner, or the value of an assembled operating business.

Question 28Business Valuation

Which of the following best describes the guideline public company method?

  1. Capitalizing the subject company's historical dividends at a market yield
  2. Estimating value from the net asset value of the subject company's balance sheet
  3. Discounting the subject company's projected free cash flow at its weighted average cost of capital
  4. Applying pricing multiples derived from publicly traded comparables to the subject company's operating metric Correct answer.

Explanation

The guideline public company method develops multiples such as EV/EBITDA or price/earnings from publicly traded comparables and applies them to the subject's corresponding metric. Adjustments are then made for differences in growth, risk, and size. It is a market approach technique, not an income or asset method.

Question 29Business Valuation

A valuation analyst is selecting a benefit stream to capitalize in a single-period capitalization method. Which pairing of benefit stream and discount rate is internally consistent?

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

Explanation

The benefit stream and the discount or capitalization rate must be matched: equity-level cash flows are discounted at the cost of equity, while firm-level cash flows are discounted at WACC. Mismatching them distorts the indicated value. Consistency between the numerator and denominator is a fundamental valuation rule.

Question 30Business Valuation

Which of the following is a required input when estimating the weighted average cost of capital for a private company?

  1. The company's gross profit margin trend
  2. The company's effective property tax rate
  3. The company's historical dividend payout ratio
  4. The market value weights of debt and equity in the capital structure Correct answer.

Explanation

WACC weights the after-tax cost of debt and the cost of equity by their market value proportions in the capital structure. Those weights, together with each component cost, drive the resulting rate. Dividend policy, gross margin, and property taxes affect cash flows but are not direct WACC inputs.

Question 31Business Valuation

A company has a minority equity interest valued at $2,000,000 on a marketable basis. A 30% discount for lack of marketability is applied. What is the resulting nonmarketable value?

  1. $2,600,000
  2. $600,000
  3. $1,538,462
  4. $1,400,000 Correct answer.

Explanation

The discount is applied multiplicatively to the marketable value: $2,000,000 × (1 − 0.30) = $1,400,000. The discount reflects the reduced liquidity of the interest. Subtracting the discount amount directly or grossing up produces different, incorrect figures.

Question 32Business Valuation

In a business valuation report, which section explains the sources of information relied upon and the scope of work performed?

  1. The reconciliation of value indications section
  2. The valuation conclusion section
  3. The economic outlook section
  4. The engagement scope and data sources section Correct answer.

Explanation

The scope and data sources section documents what was reviewed, the information relied upon, and any limiting conditions. It supports the credibility and defensibility of the report. Reconciliation, conclusion, and economic outlook sections serve different purposes within the report.

Question 33Business Valuation

A company has normalized EBITDA of $3,000,000. Guideline public companies trade at a median EV/EBITDA of 7.0x, and the analyst applies a 20% discount for lack of marketability at the enterprise level. What is the indicated enterprise value?

  1. $16,800,000 Correct answer.
  2. $4,200,000
  3. $21,000,000
  4. $25,200,000

Explanation

The multiple indication is $3,000,000 × 7.0 = $21,000,000, and applying the 20% discount gives $21,000,000 × 0.80 = $16,800,000. Discounts are applied multiplicatively to the pre-discount indication. Adding the discount or reporting the undiscounted figure would be incorrect.

Question 34Business Valuation

An analyst capitalizes normalized net cash flow of $600,000 using a 15% capitalization rate. What is the indicated value?

  1. $3,529,412
  2. $4,000,000 Correct answer.
  3. $90,000
  4. $4,600,000

Explanation

Value equals the benefit stream divided by the capitalization rate: $600,000 ÷ 0.15 = $4,000,000. The capitalization rate already reflects the required return net of expected growth. Multiplying or adding the rate produces incorrect results.

Question 35Business Valuation

A valuator uses a build-up method to estimate the cost of equity. Which component is added to the risk-free rate in this method?

  1. A terminal growth rate plus a tax rate
  2. A marketability discount plus a minority discount
  3. An after-tax cost of debt plus a control premium
  4. An equity risk premium plus a size premium plus a company-specific risk premium Correct answer.

Explanation

The build-up method starts with the risk-free rate and adds an equity risk premium, a size premium where appropriate, and a company-specific risk premium. It does not incorporate a beta adjustment, unlike the modified CAPM. Discounts and growth rates are not components of the cost of equity.

Question 36Business Valuation

Which item is typically added to the enterprise value indication to arrive at an equity value?

  1. Accounts payable
  2. Interest-bearing debt
  3. Excess cash and nonoperating assets Correct answer.
  4. Deferred tax liabilities from operations

Explanation

Enterprise value represents the operating business; to reach equity value, nonoperating assets such as excess cash are added and interest-bearing debt is subtracted. Operating liabilities such as accounts payable are already reflected in the cash flow metric. This reconciliation ensures the value basis matches the interest being valued.

Question 37Business Valuation

A company reports net income of $500,000, including a nonrecurring gain of $80,000 and above-market owner compensation of $60,000. Ignoring taxes, what is normalized net income?

  1. $640,000
  2. $520,000
  3. $440,000
  4. $480,000 Correct answer.

Explanation

Remove the $80,000 nonrecurring gain and add back the $60,000 excess compensation: $500,000 − $80,000 + $60,000 = $480,000. Normalization restates earnings to a sustainable, market-based level. Adding the gain or omitting the compensation adjustment produces incorrect results.

Question 38Business Valuation

In the excess earnings method, which step follows the estimation of a required return on net tangible assets?

  1. Adding the return on net tangible assets to total earnings
  2. Dividing total earnings by the capitalization rate for intangibles
  3. Applying a marketability discount to net tangible assets
  4. Subtracting the return on net tangible assets from total earnings to derive excess earnings attributable to intangibles Correct answer.

Explanation

The excess earnings method first estimates a fair return on net tangible assets, then subtracts that return from total earnings to isolate the excess earnings attributable to intangible assets. Those excess earnings are then capitalized to value the intangibles. Adding rather than subtracting the tangible asset return inverts the logic.

Question 39Business Valuation

Which factor most directly supports application of a control premium to a pro rata equity value?

  1. The subject interest is held in a company with declining revenue
  2. The subject interest is subject to transfer restrictions
  3. The subject interest conveys the ability to direct operating and financial policies Correct answer.
  4. The subject interest is a minority position with no board representation

Explanation

A control premium reflects the incremental value of the rights to direct the business, including operating and financial policy decisions. It applies when converting a minority indication to a controlling basis. Minority status, transfer restrictions, and revenue trends do not by themselves justify a control premium.

Question 40Business Valuation

A valuator estimates a terminal value using the Gordon growth model with final-year free cash flow to the firm of $2,500,000, a WACC of 12%, and a sustainable growth rate of 3%. What is the terminal value?

  1. $20,833,333
  2. $27,777,778 Correct answer.
  3. $83,333,333
  4. $28,611,111

Explanation

The Gordon growth terminal value is next year's cash flow divided by the spread between the discount rate and growth. Using $2,500,000 × 1.03 ÷ (0.12 − 0.03) gives approximately $28,611,111; using the final-year cash flow directly gives $2,500,000 ÷ 0.09 = $27,777,778, which is the convention applied here. Either way the spread, not the growth rate alone, drives the denominator.

Question 41Business Valuation

Which method estimates the value of a business by reference to the prices paid in actual acquisitions of comparable companies?

  1. The build-up method
  2. The adjusted net asset method
  3. The guideline transaction method Correct answer.
  4. The dividend capitalization method

Explanation

The guideline transaction method uses pricing multiples from completed transactions in comparable companies to indicate value. Transaction multiples often embed control premiums because acquisitions typically involve controlling interests. The other methods rely on cost of capital build-up, asset values, or dividends.

Question 42Business Valuation

A valuation analyst observes that a subject company is significantly smaller than the guideline public companies used in the market approach. Which adjustment is most appropriate?

  1. Apply a minority discount to the selected multiple
  2. Apply a control premium to the selected multiple
  3. Apply a size-related downward adjustment to the selected multiple Correct answer.
  4. Apply a marketability discount to the selected multiple

Explanation

Smaller companies generally carry greater risk and lower pricing multiples than larger comparables, so a downward size adjustment to the multiple is appropriate. Control, marketability, and minority adjustments address different characteristics and are applied at different stages. Conflating them with a size adjustment misstates the indication.

Question 43Business Valuation

Which statement best describes the relationship between a discount for lack of control and a control premium?

  1. They are both applied only under the asset-based approach
  2. They are identical adjustments applied at the same stage of analysis
  3. They are reciprocal adjustments that convert value between minority and control bases Correct answer.
  4. They both measure the liquidity of an ownership interest

Explanation

A control premium increases a minority value to a control basis, while a discount for lack of control reduces a control value to a minority basis. They are reciprocal conversions between the two bases and are not equal in percentage terms. Neither measures liquidity, and both apply across approaches.

Question 44Business Valuation

A company's free cash flow to the firm is projected at $1,200,000 next year, expected to grow at 4% indefinitely, with a WACC of 11%. Using the Gordon growth model, what is the enterprise value?

  1. $10,909,091
  2. $16,666,667
  3. $17,142,857 Correct answer.
  4. $30,000,000

Explanation

Enterprise value equals next year's free cash flow divided by the WACC minus growth: $1,200,000 ÷ (0.11 − 0.04) = $17,142,857. Because the cash flow is already stated for next year, no additional growth factor is applied. Using WACC alone or the growth rate alone as the denominator is incorrect.

Question 45Business Valuation

A valuator must estimate the fair value of a reporting unit for impairment testing. Which approach is required to be considered under the applicable accounting guidance?

  1. The market approach, the income approach, and the cost approach Correct answer.
  2. Only the income approach
  3. Only the cost approach
  4. Only the market approach

Explanation

Fair value measurements for impairment testing require consideration of the market, income, and cost approaches, with weighting based on available data and relevance. No single approach is mandated as the sole method. Documenting why approaches were weighted as they were supports the conclusion.

Question 46Business Valuation

A subject company's only significant asset is a portfolio of marketable securities, and it has no operating business. Which valuation approach is most appropriate?

  1. The asset-based approach Correct answer.
  2. The dividend capitalization method
  3. The discounted cash flow method
  4. The guideline public company method

Explanation

When a company's value derives from its holdings rather than operations, an asset-based approach that values the underlying assets directly is most appropriate. Income and market approaches premised on operating earnings have little relevance. This is common for holding companies and investment entities.

Question 47Business Valuation

An analyst reconciles indications of $8,000,000 from the income approach and $10,000,000 from the market approach. Which factor most appropriately justifies weighting the market approach more heavily?

  1. The income approach projections were prepared by management
  2. The market approach always produces higher values
  3. The guideline companies are highly comparable and recent transaction data are reliable Correct answer.
  4. The subject company has no identifiable intangible assets

Explanation

The weighting of value indications should reflect the quality and reliability of the underlying data. Strong comparability and reliable transaction evidence support greater weight on the market approach. Management-prepared projections or the mere level of the indication are not sufficient justification.

Question 48Business Valuation

A company's cost of equity is 16%, its pre-tax cost of debt is 7%, the tax rate is 25%, and the capital structure is 70% equity and 30% debt by market value. What is the WACC?

  1. 11.20%
  2. 13.78% Correct answer.
  3. 12.70%
  4. 14.95%

Explanation

WACC equals the weighted cost of equity plus the weighted after-tax cost of debt: 0.70 × 16% + 0.30 × 7% × (1 − 0.25) = 11.20% + 1.575% = 12.775%, which rounds to 12.78%. Using pre-tax debt cost or misweighting the components changes the result.

Question 49Business Valuation

A valuator values a controlling interest in a private company using guideline public company multiples that reflect minority, marketable trading prices. Which adjustment sequence is most defensible?

  1. Apply a discount for lack of marketability first, then a control premium
  2. Apply neither adjustment because guideline companies are publicly traded
  3. Apply a control premium to the minority marketable indication, then apply a discount for lack of marketability Correct answer.
  4. Apply both a control premium and a marketability discount simultaneously as a single combined adjustment

Explanation

Guideline public company multiples reflect minority, marketable interests, so a control premium is applied to reach a controlling basis and then a marketability discount reflects the private company's illiquidity. The sequence matters because the two adjustments address different characteristics. Applying them in reverse or as one blended adjustment obscures the analysis.

Question 50Business Valuation

Two otherwise comparable private companies are valued on a minority basis. Company A has a shareholder agreement with a right of first refusal and no established market for its shares; Company B has freely transferable shares and frequent arm's-length trades. Which conclusion is best supported?

  1. Company B warrants a larger discount for lack of marketability than Company A
  2. Company A warrants a larger discount for lack of marketability than Company B Correct answer.
  3. Neither company warrants a marketability discount because both are private
  4. Both companies warrant identical marketability discounts because they are otherwise comparable

Explanation

Transfer restrictions and the absence of an established market increase illiquidity, supporting a larger marketability discount for Company A. Company B's transferability and trading activity reduce the liquidity discount. Comparability of operations does not equalize liquidity characteristics.