Free practice questions/CFA Program
CFA Program — Corporate Finance
36 free practice questions with full explanations.
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Start freeQuestion 1
Which source of capital is generally considered to have the lowest cost to the issuing company, due to tax deductibility of interest and seniority in bankruptcy?
- A) Common equity
- B) Preferred equity
- C) Debt
- D) Retained earnings
Show answer & explanation
Correct answer: C) Debt
Debt is generally the lowest-cost source of capital because interest payments are tax-deductible and debt holders have priority over equity holders in bankruptcy, reducing the required return demanded by debt investors relative to equity investors.
Question 2
A project has an initial investment of $100,000 and is expected to generate $30,000 per year for 5 years. If the required rate of return is 10%, what is the approximate net present value (NPV)?
- A) -$13,700
- B) $0
- C) $13,700
- D) $50,000
Show answer & explanation
Correct answer: C) $13,700
PV of the annuity = 30,000 x [(1-(1.10)^-5)/0.10] = 30,000 x 3.7908 = 113,724. NPV = 113,724 - 100,000 = approximately $13,700.
Question 3
A company's weighted average cost of capital (WACC) is used primarily to:
- A) Calculate the company's net income
- B) Discount future cash flows when evaluating investment projects
- C) Determine the company's tax liability
- D) Measure the company's current stock price
Show answer & explanation
Correct answer: B) Discount future cash flows when evaluating investment projects
WACC represents the blended required return on a company's capital (debt and equity) and is commonly used as the discount rate for evaluating the net present value of investment projects of similar risk.
Question 4
If a company increases its use of debt financing relative to equity, holding operating income constant, its financial leverage and the volatility of its earnings per share (EPS) will typically:
- A) Decrease
- B) Increase
- C) Remain unchanged
- D) Become negative
Show answer & explanation
Correct answer: B) Increase
Increased debt financing raises financial leverage, which magnifies the effect of changes in operating income on EPS, increasing EPS volatility (financial risk).
Question 5
The internal rate of return (IRR) of a project is the discount rate at which:
- A) The project's NPV equals zero
- B) The project's payback period is minimized
- C) The project's total revenue equals total cost
- D) The project's NPV is maximized
Show answer & explanation
Correct answer: A) The project's NPV equals zero
By definition, the IRR is the discount rate that makes the net present value of a project's cash flows equal to zero.
Question 6
A firm's payback period for a capital project measures:
- A) The discounted value of all future cash flows
- B) The time required to recover the initial investment from the project's cash flows
- C) The total profit generated over the project's life
- D) The rate of return earned on the project annually
Show answer & explanation
Correct answer: B) The time required to recover the initial investment from the project's cash flows
The payback period measures how long it takes for a project's cumulative cash flows to recover the initial investment; it does not account for the time value of money or cash flows beyond the payback point.
Question 7
A company is financed with 55% equity and 45% debt. The cost of equity is 12%, the pre-tax cost of debt is 5.5%, and the tax rate is 21%. WACC is closest to:
- A) 8.56%
- B) 7.80%
- C) 9.90%
- D) 6.60%
Show answer & explanation
Correct answer: A) 8.56%
WACC = (0.55)(0.12) + (0.45)(0.055)(1-0.21) = 0.066 + 0.01955 = 8.56%.
Question 8
A firm's degree of financial leverage (DFL) measures the sensitivity of:
- A) Sales to a percentage change in production volume.
- B) Operating income to a percentage change in sales.
- C) Stock price to a percentage change in trading volume.
- D) Net income (or earnings per share) to a percentage change in operating income (EBIT), driven by the use of fixed financing costs like interest.
Show answer & explanation
Correct answer: D) Net income (or earnings per share) to a percentage change in operating income (EBIT), driven by the use of fixed financing costs like interest.
Degree of financial leverage measures how sensitive net income or EPS is to a percentage change in EBIT, with higher fixed financing costs (like debt interest) amplifying this sensitivity, similar to how operating leverage amplifies EBIT sensitivity to sales.
Question 9
According to Modigliani-Miller Proposition II (with taxes), as a firm increases its use of debt financing, its cost of equity will:
- A) Remain completely unaffected by the capital structure.
- B) Always fall to zero once debt exceeds 50% of capital.
- C) Increase, since higher financial leverage increases the risk borne by equity holders.
- D) Decrease, since debt is generally cheaper than equity.
Show answer & explanation
Correct answer: C) Increase, since higher financial leverage increases the risk borne by equity holders.
MM Proposition II states that as leverage increases, the cost of equity rises to compensate equity holders for the additional financial risk they bear, since debt holders have a prior claim on cash flows, leaving equity holders exposed to more variable residual returns.
Question 10
A firm's "retention ratio" (plowback ratio) is calculated as:
- A) Net income divided by total revenue.
- B) 1 minus the dividend payout ratio, representing the proportion of net income reinvested in the business rather than paid out as dividends.
- C) Total assets divided by total equity.
- D) Dividends paid divided by total assets.
Show answer & explanation
Correct answer: B) 1 minus the dividend payout ratio, representing the proportion of net income reinvested in the business rather than paid out as dividends.
The retention ratio equals 1 minus the dividend payout ratio, reflecting the proportion of net income the firm reinvests (retains) rather than distributes to shareholders as dividends; it is a key input to sustainable growth rate calculations.
Question 11
A company evaluates two mutually exclusive projects of different scale. Project A has a higher NPV but a lower IRR than Project B. Assuming the firm's goal is to maximize shareholder wealth, which project should generally be selected?
- A) Project A, since NPV directly measures the dollar increase in firm value, which better aligns with maximizing shareholder wealth than IRR, particularly when project scales differ.
- B) Project B, since a higher IRR is always preferred regardless of scale.
- C) Neither project should ever be accepted if IRRs differ.
- D) Both projects should be accepted simultaneously regardless of mutual exclusivity.
Show answer & explanation
Correct answer: A) Project A, since NPV directly measures the dollar increase in firm value, which better aligns with maximizing shareholder wealth than IRR, particularly when project scales differ.
When ranking conflicts arise between NPV and IRR for mutually exclusive projects (often due to differences in scale or cash flow timing), NPV is generally the preferred criterion because it directly measures the expected increase in firm value in dollar terms, better aligning with shareholder wealth maximization.
Question 12
A firm's working capital management involves managing which of the following?
- A) Only the firm's long-term debt obligations.
- B) Only the firm's common stock issuances.
- C) Only the firm's long-lived fixed assets.
- D) Current assets and current liabilities, such as inventory, receivables, payables, and cash.
Show answer & explanation
Correct answer: D) Current assets and current liabilities, such as inventory, receivables, payables, and cash.
Working capital management focuses on a firm's short-term assets and liabilities, including managing inventory levels, accounts receivable collection, accounts payable timing, and cash balances, to ensure operational liquidity.
Question 13
A project requires an initial investment of $8,000 and generates $3,000 at the end of each of the next 4 years. Using a discount rate of 10%, the project's NPV is closest to:
- A) $4,000
- B) $1,500
- C) $2,500
- D) $1,510
Show answer & explanation
Correct answer: D) $1,510
NPV = -8000 + 3000/1.1 + 3000/1.1^2 + 3000/1.1^3 + 3000/1.1^4 = -8000+2727+2479+2254+2049 = $1,510.
Question 14
A company's "operating leverage" primarily arises from:
- A) The proportion of fixed costs relative to variable costs in the company's cost structure.
- B) The proportion of debt relative to equity in the capital structure.
- C) The company's dividend payout ratio.
- D) The number of shares outstanding.
Show answer & explanation
Correct answer: A) The proportion of fixed costs relative to variable costs in the company's cost structure.
Operating leverage reflects the extent to which a company's costs are fixed rather than variable; a higher proportion of fixed costs means operating income is more sensitive to changes in sales volume, amplifying both upside and downside swings in EBIT.
Question 15
A firm's "trade credit" from suppliers, if not paid within the discount period offered, effectively represents:
- A) A completely free source of financing under all circumstances.
- B) A form of long-term debt financing.
- C) An asset rather than a liability.
- D) A relatively expensive form of short-term financing, since forgoing an early-payment discount has an implicit annualized cost.
Show answer & explanation
Correct answer: D) A relatively expensive form of short-term financing, since forgoing an early-payment discount has an implicit annualized cost.
While trade credit paid within any discount period is essentially free, failing to take an available early-payment discount and instead paying at the full due date represents an implicit financing cost, which, when annualized, is often quite expensive compared to other short-term financing sources.
Question 16
Which of the following is a key assumption underlying the Modigliani-Miller capital structure irrelevance theorem (without taxes)?
- A) Perfect capital markets, including no taxes, no bankruptcy costs, and symmetric information among all market participants.
- B) Corporate tax rates must exceed 30%.
- C) All companies must have identical dividend policies.
- D) Interest rates must always be negative.
Show answer & explanation
Correct answer: A) Perfect capital markets, including no taxes, no bankruptcy costs, and symmetric information among all market participants.
The original Modigliani-Miller theorem relies on a set of idealized assumptions -- including no taxes, no bankruptcy or transaction costs, and symmetric information -- under which capital structure does not affect firm value; relaxing these assumptions (such as introducing taxes) leads to different, more realistic conclusions.
Question 17
A company's payback period for a project is 3.5 years, while its required payback threshold is 4 years. Based on the payback period rule alone, the firm should:
- A) Accept the project only if the IRR is negative.
- B) Accept the project, since it recovers the initial investment within the required threshold.
- C) Reject the project, since 3.5 years is too short.
- D) The payback period rule provides no basis for an accept/reject decision.
Show answer & explanation
Correct answer: B) Accept the project, since it recovers the initial investment within the required threshold.
Under the simple payback period decision rule, a project is accepted if its payback period is less than or equal to a firm's specified maximum acceptable payback threshold; here, 3.5 years is less than the 4-year threshold, so the project would be accepted under this rule.
Question 18
Which of the following best describes "financial risk" as distinguished from "business risk"?
- A) Financial risk applies only to companies with no debt whatsoever.
- B) Business risk is determined solely by a company's dividend policy.
- C) Financial risk arises from a company's use of fixed financing costs, such as debt, while business risk arises from the inherent uncertainty of the company's operations and industry.
- D) Financial risk and business risk are identical concepts with no meaningful distinction.
Show answer & explanation
Correct answer: C) Financial risk arises from a company's use of fixed financing costs, such as debt, while business risk arises from the inherent uncertainty of the company's operations and industry.
Business risk stems from the inherent uncertainty of a company's operating environment and industry (such as demand volatility or cost structure), while financial risk specifically arises from the additional uncertainty introduced by using fixed financing costs like debt, which amplifies the variability of returns to equity holders.
Question 19
A project has a required return of 12%. Its IRR is 15% and NPV is $200,000. The firm should:
- A) Reject the project because the IRR could be misleading
- B) Accept the project because IRR > required return and NPV > 0
- C) Reject the project because IRR < required return
- D) Require additional analysis before deciding
Show answer & explanation
Correct answer: B) Accept the project because IRR > required return and NPV > 0
Both NPV and IRR criteria agree: NPV > 0 and IRR > required return both indicate value creation. The project should be accepted.
Question 20
According to the Modigliani-Miller theorem with no taxes, the value of a levered firm equals:
- A) The value of an unlevered firm plus the tax shield on debt
- B) The value of an unlevered firm
- C) The present value of its future free cash flows
- D) The value of an unlevered firm minus financial distress costs
Show answer & explanation
Correct answer: B) The value of an unlevered firm
MM Proposition I (no taxes): capital structure is irrelevant. The value of a levered firm equals that of an unlevered firm — investors can replicate any capital structure through personal leverage.
Question 21
A firm's WACC is 10%. Its before-tax cost of debt is 6% and the tax rate is 30%. If the debt-to-equity ratio is 0.5, the cost of equity is closest to:
- A) 12.17%
- B) 13.00%
- C) 11.80%
- D) 14.20%
Show answer & explanation
Correct answer: B) 13.00%
D/E=0.5, so D/(D+E)=1/3, E/(D+E)=2/3. After-tax cost of debt=6%×0.7=4.2%. WACC=4.2%×(1/3)+Ke×(2/3)=10% → Ke=(10%−1.4%)/(2/3)=8.6%/0.667=12.9%. Closest answer is 13.00%.
Question 22
Which dividend policy theory argues that investors are indifferent between dividends and capital gains because they can create 'homemade dividends'?
- A) Bird-in-hand theory
- B) Tax preference theory
- C) Dividend irrelevance theory
- D) Signaling theory
Show answer & explanation
Correct answer: C) Dividend irrelevance theory
Modigliani and Miller's dividend irrelevance theory states that, in perfect markets, investors can replicate any dividend policy by selling shares (homemade dividends), so dividend policy does not affect firm value.
Question 23
The payback period method of capital budgeting ignores:
- A) The initial investment amount
- B) The time value of money and cash flows beyond the payback period
- C) Cash flows during the payback period
- D) The project's required rate of return
Show answer & explanation
Correct answer: B) The time value of money and cash flows beyond the payback period
The traditional payback period simply counts the years to recover the initial investment, ignoring discounting and any cash flows that occur after the payback date — a significant flaw for long-lived projects.
Question 24
Which of the following best describes the agency conflict between shareholders and bondholders?
- A) Shareholders prefer low-risk projects; bondholders prefer high-risk projects
- B) Shareholders may prefer high-risk projects that transfer wealth from bondholders
- C) Both groups always prefer the same investment policies
- D) Bondholders bear all the firm's operating risk
Show answer & explanation
Correct answer: B) Shareholders may prefer high-risk projects that transfer wealth from bondholders
Because shareholders have limited liability and hold an option-like claim, they may prefer riskier projects. If the project succeeds, shareholders gain; if it fails, bondholders bear the downside. This is asset substitution risk.
Question 25
A company is financed with 60% equity and 40% debt. The cost of equity is 11%, the pre-tax cost of debt is 6%, and the tax rate is 25%. The company's WACC is closest to:
- A) 8.40%
- B) 8.60%
- C) 10.20%
- D) 7.20%
Show answer & explanation
Correct answer: A) 8.40%
WACC = (E/V)(Re) + (D/V)(Rd)(1-T) = (0.60)(0.11) + (0.40)(0.06)(1-0.25) = 0.066 + 0.018 = 8.40%.
Question 26
A company's degree of operating leverage (DOL) measures the sensitivity of:
- A) Net income to a percentage change in interest rates only.
- B) Sales to a percentage change in the number of employees.
- C) Stock price to a percentage change in trading volume.
- D) Operating income (EBIT) to a percentage change in sales, driven by the proportion of fixed operating costs.
Show answer & explanation
Correct answer: D) Operating income (EBIT) to a percentage change in sales, driven by the proportion of fixed operating costs.
Degree of operating leverage measures how sensitive a company's operating income (EBIT) is to a percentage change in sales, with higher fixed operating costs (relative to variable costs) leading to a higher DOL and greater earnings volatility relative to sales changes.
Question 27
According to the Modigliani-Miller Proposition I (without taxes), a firm's capital structure decision:
- A) Always maximizes firm value by using 100% equity financing.
- B) Has a large, predictable effect on firm value in every real-world scenario.
- C) Does not affect the overall value of the firm, under the stated assumptions (no taxes, no bankruptcy costs, efficient markets).
- D) Always maximizes firm value by using 100% debt financing.
Show answer & explanation
Correct answer: C) Does not affect the overall value of the firm, under the stated assumptions (no taxes, no bankruptcy costs, efficient markets).
Modigliani-Miller Proposition I (without taxes) states that, under idealized assumptions (no taxes, no bankruptcy costs, symmetric information, efficient markets), the value of a firm is independent of its capital structure -- financing decisions do not affect firm value in this simplified framework, though this changes once taxes and other real-world frictions are introduced.
Question 28
A company's payback period for a capital project is calculated as the length of time required for:
- A) The project's IRR to exceed its NPV.
- B) The cumulative cash flows from the project to equal the initial investment.
- C) The project to generate its first dollar of any cash flow.
- D) The company's stock price to double.
Show answer & explanation
Correct answer: B) The cumulative cash flows from the project to equal the initial investment.
The payback period measures how long it takes for a project's cumulative cash inflows to recover (equal) the initial investment outlay, without regard to the time value of money in its simple form.
Question 29
Which of the following is generally considered a limitation of the payback period method for evaluating capital projects?
- A) It ignores the time value of money and cash flows occurring after the payback point.
- B) It always produces the same ranking as NPV for any set of projects.
- C) It requires advanced statistical software to calculate.
- D) It cannot be calculated for any project with positive cash flows.
Show answer & explanation
Correct answer: A) It ignores the time value of money and cash flows occurring after the payback point.
A key limitation of the (simple) payback period method is that it does not account for the time value of money, and it ignores any cash flows that occur after the payback threshold is reached, which can lead to different (and potentially suboptimal) conclusions compared to NPV.
Question 30
A firm's current ratio and quick ratio are both important measures of:
- A) Long-term solvency exclusively.
- B) Profitability margins.
- C) Market valuation multiples.
- D) Short-term liquidity -- the firm's ability to meet its near-term obligations.
Show answer & explanation
Correct answer: D) Short-term liquidity -- the firm's ability to meet its near-term obligations.
The current ratio and quick ratio are both liquidity ratios, assessing a firm's ability to meet short-term obligations using its current (or more liquid, in the case of the quick ratio) assets.
Question 31
A company's preferred stock pays an annual dividend of $4.50 per share and currently trades at $60 per share, with no flotation costs assumed. The cost of preferred stock is closest to:
- A) 7.5%
- B) 6.0%
- C) 9.0%
- D) 5.0%
Show answer & explanation
Correct answer: A) 7.5%
The cost of preferred stock (ignoring flotation costs) is calculated as the preferred dividend divided by the current price: 4.50/60 = 7.5%, reflecting the return required by preferred shareholders given the stock's fixed dividend and current market valuation.
Question 32
A company follows a strict residual dividend policy. Under this approach, the company will:
- A) Pay a fixed dollar dividend every year regardless of earnings or investment needs.
- B) First fund all acceptable capital investment projects from available earnings (consistent with its target capital structure), and distribute only the leftover (residual) earnings as dividends.
- C) Always distribute 100% of net income as dividends regardless of investment opportunities.
- D) Set dividends based solely on matching the dividends paid by direct competitors.
Show answer & explanation
Correct answer: B) First fund all acceptable capital investment projects from available earnings (consistent with its target capital structure), and distribute only the leftover (residual) earnings as dividends.
Under a residual dividend policy, a company first uses available earnings to fund all capital projects that meet its investment criteria while maintaining its target capital structure, and only distributes any earnings remaining after those investment needs are met as dividends -- meaning dividends can vary considerably from year to year depending on investment opportunities.
Question 33
A company's pre-tax cost of debt is 7.0%, and its marginal tax rate is 30%. The company's after-tax cost of debt is closest to:
- A) 4.9%
- B) 7.0%
- C) 2.1%
- D) 6.3%
Show answer & explanation
Correct answer: A) 4.9%
After-tax cost of debt = Pre-tax cost of debt x (1 - Tax rate) = 7.0% x (1-0.30) = 4.9%, reflecting the tax deductibility of interest expense, which reduces the effective cost of debt financing relative to its stated pre-tax rate.
Question 34
A project requires an initial investment of $1,000,000 and has a present value of future cash flows of $1,250,000. The project's profitability index is closest to:
- A) 0.80
- B) 1.00
- C) 0.25
- D) 1.25
Show answer & explanation
Correct answer: D) 1.25
Profitability index = Present value of future cash flows / Initial investment = 1,250,000/1,000,000 = 1.25. A profitability index greater than 1.0 indicates a positive NPV project, generally consistent with accepting the project, and the measure is particularly useful for ranking projects under capital rationing.
Question 35
A company has fixed operating costs of $360,000 per year. Each unit sells for $60 and has a variable cost of $36 per unit. The breakeven quantity of units the company must sell to cover its fixed costs is closest to:
- A) 6,000 units
- B) 10,000 units
- C) 15,000 units
- D) 20,000 units
Show answer & explanation
Correct answer: C) 15,000 units
Breakeven quantity = Fixed costs / (Price per unit - Variable cost per unit) = 360,000/(60-36) = 360,000/24 = 15,000 units.
Question 36
A company's sales increased from $1,000,000 to $1,150,000 (a 15% increase), while its EBIT increased from $200,000 to $260,000 (a 30% increase) over the same period. The company's degree of operating leverage (DOL), measured over this period, is closest to:
- A) 1.5x
- B) 2.0x
- C) 0.5x
- D) 3.0x
Show answer & explanation
Correct answer: B) 2.0x
Degree of operating leverage = Percentage change in EBIT / Percentage change in sales = 30%/15% = 2.0x, meaning EBIT changed twice as much, in percentage terms, as sales over this period, reflecting the effect of the company's fixed operating costs.
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