Quiz: Free Cash Flow and Time Value — 60 questions

1. What does finance primarily study when monetary resources are scarce and decisions unfold over time?

A. How governments set tax rates and regulate all financial institutions

B. How investors select assets by focusing on historical prices and accounting records

C. How companies increase sales without considering investment opportunities or uncertainty

D. How individuals and organizations raise, allocate, and use resources while managing risk

Answer: (D)

Explanation

Finance examines how individuals, businesses, and organizations obtain, distribute, and use scarce monetary resources over time while addressing risks and opportunities. Focusing solely on sales or historical prices omits the broader allocation and risk-management role of finance.

2. Which situation best illustrates risk rather than uncertainty?

A. A new technology may produce consequences that no reliable model can predict

B. An investment has several possible outcomes whose probabilities can be estimated

C. A manager cannot identify the possible outcomes of an unprecedented event

D. A business faces conditions for which available information gives no dependable forecast

Answer: (B)

Explanation

Risk involves uncertain outcomes that can be assessed, such as by estimating their probabilities. The other situations describe uncertainty because the outcomes cannot be reliably predicted.

3. Why does diversification reduce an investor’s exposure to a single investment?

A. It replaces uncertain investments with assets that have predetermined returns

B. It guarantees that losses in one asset will be exactly offset by gains elsewhere

C. It spreads the investment across assets instead of concentrating it in one position

D. It allows the investor to avoid evaluating the risks of individual investments

Answer: (C)

Explanation

Diversification reduces concentration by spreading exposure across investments, reflecting the idea of not putting all one’s eggs in one basket. It does not guarantee offsetting gains or eliminate the need to assess risk.

4. Which statement correctly distinguishes equity holders from debt holders?

A. Equity holders are paid before creditors, while debt holders receive dividends based on the company’s remaining profits

B. Equity holders and debt holders have identical claims, but equity holders receive payment on an earlier schedule

C. Equity holders receive predetermined income without control, while debt holders receive residual profits and vote on company decisions

D. Equity holders may receive dividends and control rights, while debt holders generally receive predetermined income and priority in liquidation

Answer: (D)

Explanation

Equity holders may benefit from dividends and share-price appreciation, generally have voting rights, and are paid after debt holders in liquidation. Debt holders usually have predetermined claims and priority but lack normal decision-making power.

5. What is the opportunity cost of capital for an investment decision?

A. The average return earned by all investments in the same industry

B. The accounting profit recorded after the investment has been completed

C. The return forgone on the best alternative investment with equivalent risk and term

D. The interest rate charged by a lender regardless of the investment’s risk

Answer: (C)

Explanation

The opportunity cost of capital is the return an investor gives up by choosing an investment instead of the best available alternative with comparable risk and duration. It therefore represents the required return for the decision.

6. A manager estimates an investment’s return before committing funds. Which comparison provides the most appropriate benchmark?

A. The company’s previous return without considering changes in risk

B. The highest return reported by any investment in the market

C. An alternative opportunity offering the same level of risk

D. A risk-free rate even when the investment has substantially greater risk

Answer: (C)

Explanation

An expected return should be compared with a relevant benchmark, including an alternative opportunity with the same level of risk. A benchmark that ignores differences in risk can lead to a misleading assessment.

7. Why might investors require a higher expected return from a riskier investment?

A. Greater risk mechanically produces a higher realized return in every future period

B. The additional required return compensates investors for bearing greater risk, although the realized return may still be lower

C. A riskier investment eliminates uncertainty by making its possible outcomes easier to predict

D. Investors require higher returns because risky investments provide guaranteed dividend payments

Answer: (B)

Explanation

Higher risk should lead investors to demand greater compensation through a higher required return. This requirement does not guarantee that the investment will actually earn a higher return.

8. What limitation applies when historical data show a statistical association between high risk and high return?

A. The association does not guarantee that past performance will recur in future investments

B. The evidence demonstrates that low-risk investments cannot earn substantial realized returns

C. The historical pattern shows that investors can predict each future return with accuracy

D. The association proves that risk directly causes every high return observed in the data

Answer: (A)

Explanation

Historical evidence may reveal a correlation between risk and return, but past performance does not guarantee future results. A statistical pattern cannot provide certainty about an individual investment’s future outcome.

9. A company observes that advertising spending and sales rise together. What conclusion is justified without further analysis?

A. The variables are correlated, but the observation alone does not establish that advertising caused the sales increase

B. The relationship is irrelevant because correlation cannot provide any useful information

C. Sales caused advertising to increase because companies respond to stronger market demand

D. Advertising caused the sales increase because the two variables moved in the same direction

Answer: (A)

Explanation

Correlation shows that variables move together, whereas causation requires evidence that one produces an effect in the other. Other factors or reverse direction may explain the observed association.

10. Which statement accurately describes shareholders’ ownership and dividends?

A. Shareholders lend money to the company and receive predetermined payments before all other claimants

B. Shareholders directly own a proportional share of every company asset and receive mandatory dividends each period

C. Shareholders own part of the company’s equity, not its individual assets, and dividends are paid at the company’s discretion

D. Shareholders own the company’s physical assets personally and decide dividends without company approval

Answer: (C)

Explanation

Shareholders hold an equity interest in the company rather than direct ownership of its separate assets, and the company decides whether to pay dividends. This differs from debt claims, which generally involve predetermined payments and priority.

11. What is the main purpose of financial analysis in relation to stakeholders?

A. To calculate payroll taxes and schedule employee payments

B. To determine production capacity without reviewing financial reports

C. To record every transaction in the company’s general ledger

D. To evaluate financial health and support stakeholder confidence

Answer: (D)

Explanation

Financial analysis interprets financial reports and related data to assess whether a company is healthy enough to retain stakeholder trust and attract investors. Payroll calculation concerns administration rather than the broader evaluation of financial health.

12. Which stakeholder perspective is primarily concerned with valuation and investment returns?

A. Debt-capital-oriented stakeholders

B. Compensation-oriented stakeholders

C. Trade-credit administration stakeholders

D. Equity-oriented stakeholders

Answer: (D)

Explanation

Equity-oriented stakeholders evaluate the company through valuation and expected returns on ownership. Debt-capital-oriented stakeholders instead emphasize creditworthiness and liquidation information.

13. Why should a rigorous financial analysis combine several indicators?

A. Because financial ratios cannot be compared across reporting periods

B. Because no single indicator gives a complete view of financial health

C. Because stakeholder interests are limited to cash and bonuses

D. Because accounting policies make profitability data unavailable

Answer: (B)

Explanation

Financial health is multidimensional, so analysts must cross-analyze multiple indicators rather than rely on one ratio. A single ratio can offer useful evidence but cannot provide a complete diagnosis.

14. Which sequence best describes a sound financial analysis process?

A. Estimate dividends, issue shares, then prepare a production schedule

B. Value inventory, close the ledger, then eliminate all financial risks

C. Assess context, analyze performance and risk, then communicate recommendations

D. Record cash receipts, calculate taxes, then approve employee bonuses

Answer: (C)

Explanation

A sound process considers the sector and accounting policies, examines growth, profitability, and risk, and communicates conclusions and recommendations. The other sequences omit this integrated analytical progression.

15. What does a balance sheet present?

A. A period-based summary of revenues, expenses, and resulting earnings

B. A forecast of future sales, borrowing needs, and dividend payments

C. A point-in-time snapshot of assets, liabilities, and shareholders’ equity

D. A record of cash receipts and payments from operating activities

Answer: (C)

Explanation

A balance sheet shows financial position at a particular date by listing assets and the liabilities and equity that finance them. A period-based report of revenues and expenses is an income statement.

16. A company reports total assets of $\text{\$}900,000$ and liabilities of $\text{\$}550,000$. What shareholders’ equity is required for the balance sheet to balance?

A. $\text{\$}350,000$

B. $\text{\$}450,000$

C. $\text{\$}550,000$

D. $\text{\$}1,450,000$

Answer: (A)

Explanation

The balance-sheet equation is $\text{Total Assets} = \text{Liabilities} + \text{Shareholders' Equity}$, so equity equals $\text{\$}900,000 - \text{\$}550,000 = \text{\$}350,000$. Adding liabilities and assets would confuse uses of funds with their financing sources.

17. Which item is classified as a financing source on the balance sheet rather than as an asset?

A. Long-lived equipment

B. Long-term debt

C. Marketable securities

D. Accounts receivable

Answer: (B)

Explanation

Long-term debt is a financing source used to fund the company’s assets. Accounts receivable, marketable securities, and long-lived equipment represent assets or uses of funds.

18. Why is purchasing a fixed asset generally treated differently from paying an operating expense?

A. The fixed asset is consumed during the operating cycle and immediately reduces wealth

B. The fixed asset is treated as a liability until all related cash is collected

C. The fixed asset provides use over time and is recorded as capital expenditure

D. The fixed asset represents revenue earned from customers during the reporting period

Answer: (C)

Explanation

A fixed asset is used over time without being directly destroyed in the operating cycle, so its purchase is recorded as capital expenditure rather than an immediate operating expense. Operating expenses are consumed in operations and reduce wealth during the period.

19. Why can net income differ from the cash earned by a firm?

A. Net income includes accruals and non-cash items that do not equal cash receipts and payments

B. Net income is calculated from market prices rather than accounting transactions

C. Net income measures only financing activities and omits operating performance

D. Net income excludes every transaction involving revenue earned during the period

Answer: (A)

Explanation

Net income is an accounting measure affected by accruals, non-cash items, and cash uses that may not appear on the income statement. Cash flow instead tracks cash actually received and paid.

20. Under accrual accounting, when is revenue generally recognized for a completed sale made on credit?

A. When the company purchases inventory for the customer’s order

B. When the customer pays, regardless of when the sale occurred

C. When the reporting period ends and all invoices are collected

D. When the sale is made, even if the customer pays later

Answer: (D)

Explanation

Accrual accounting recognizes revenue when the sale occurs and matches related costs with the revenue they generate, regardless of cash timing. Recognizing revenue upon payment describes a cash-based approach.

21. What is the primary purpose of a cash flow statement?

A. To calculate the market value of shareholders’ ownership interests

B. To list assets and the financing sources supporting them at one date

C. To measure accounting wealth created through revenues and expenses

D. To assess cash generation and show its allocation among major activities

Answer: (D)

Explanation

The cash flow statement evaluates the firm’s ability to generate cash and tracks how cash moves through operating, investing, and financing activities. Revenues and expenses used to measure accounting earnings belong primarily to the income statement.

22. Which set correctly identifies the three components of a cash flow statement?

A. Revenue, expense, and earnings cash flows

B. Asset, liability, and equity cash flows

C. Production, marketing, and administration cash flows

D. Operating, investing, and financing cash flows

Answer: (D)

Explanation

Cash flow statements divide cash movements into operating, investing, and financing activities. Assets, liabilities, and equity are balance-sheet categories rather than the three cash-flow components.

23. Which expression correctly calculates working capital needs?

A. $\mathrm{Accounts\ payable} - \mathrm{Inventory} + \mathrm{Accounts\ receivable}$

B. $\mathrm{Inventory} + \mathrm{Accounts\ receivable} - \mathrm{Accounts\ payable}$

C. $\mathrm{Inventory} + \mathrm{Accounts\ payable} - \mathrm{Accounts\ receivable}$

D. $\mathrm{Accounts\ receivable} + \mathrm{Accounts\ payable} - \mathrm{Inventory}$

Answer: (B)

Explanation

Working capital needs equal inventory plus accounts receivable minus accounts payable because supplier credit reduces the cash tied up in operations. Adding accounts payable would reverse its financing effect.

24. What does a positive working capital need indicate about a business’s cash position?

A. It consumes cash because operating outflows occur before related inflows.

B. It eliminates cash requirements because suppliers finance all operations.

C. It provides cash because customer collections precede operating payments.

D. It measures profitability because operating revenues exceed operating expenses.

Answer: (A)

Explanation

Positive working capital needs represent cash tied up during the lag between operating payments and collections. Negative working capital needs, by contrast, can provide a financial resource rather than consume cash.

25. JIT’s working capital needs rose from €2.6 million in Year 1 to €3.3 million in Year 2; how much additional financing was required?

A. €900,000

B. €500,000

C. €1.1 million

D. €700,000

Answer: (D)

Explanation

The increase is €3.3 million minus €2.6 million, which equals €700,000. The additional working capital need therefore required that amount of financing.

26. If a firm reduces its working capital needs without disrupting normal operations, what is the expected cash-flow effect?

A. It leaves operating cash flow unchanged.

B. It increases the firm’s financing requirement.

C. It generates a positive cash flow.

D. It creates a negative cash flow.

Answer: (C)

Explanation

Reducing working capital needs releases cash that had been tied up in operations, generating a positive cash flow when proper functioning is maintained. An increase in working capital needs would have the opposite cash effect.

27. How is net financial debt calculated from financial debt and liquid financial resources?

A. Financial debt plus cash and short-term investments

B. Long-term debt minus short-term debt and cash

C. Financial debt minus cash and short-term investments

D. Cash and short-term investments minus financial debt

Answer: (C)

Explanation

Net financial debt deducts cash and short-term investments from financial debt. Gross debt does not make this deduction, so adding liquid resources would not produce the net measure.

28. Which equation expresses the two equivalent ways to calculate capital employed?

A. $\mathrm{Working\ capital} - \mathrm{Fixed\ assets} = \mathrm{Shareholders'\ equity} + \mathrm{Gross\ debt}$

B. $\mathrm{Total\ assets} - \mathrm{Working\ capital} = \mathrm{Debt} + \mathrm{Cash}$

C. $\mathrm{Fixed\ assets} + \mathrm{Cash} = \mathrm{Shareholders'\ equity} - \mathrm{Net\ financial\ debt}$

D. $\mathrm{Fixed\ assets} + \mathrm{Working\ capital} = \mathrm{Shareholders'\ equity} + \mathrm{Net\ financial\ debt}$

Answer: (D)

Explanation

Capital employed can be measured as fixed assets plus working capital or as shareholders’ equity plus net financial debt. Total assets include items such as cash that are not part of the operating-assets measure in this formulation.

29. Why is analyzing financial debt useful to a firm’s financial assessment?

A. It determines inventory turnover, collection periods, and supplier credit terms.

B. It measures market capitalization, share prices, and investors’ growth expectations.

C. It helps evaluate default risk, autonomy, distress, reputation, and capital cost.

D. It identifies historical asset costs, accounting records, and retained earnings.

Answer: (C)

Explanation

Financial debt analysis informs several financing concerns, including default risk, management autonomy, financial distress, reputation, and the cost of capital. Operating-cycle measures such as inventory turnover address working capital rather than debt risk.

30. What is the key distinction between book value of equity and market value of equity?

A. Book value measures share trading prices, while market value records accumulated expenses.

B. Book value excludes equity accounts, while market value includes accounting depreciation.

C. Book value reflects investor expectations, while market value relies on historical asset costs.

D. Book value relies on accounting records, while market value reflects expected future performance.

Answer: (D)

Explanation

Book value is an accounting measure influenced partly by historical asset costs, whereas market value incorporates investors’ expectations about future results. Trading prices are used to determine market value, not book value.

31. A company has 3 million shares outstanding trading at €12 per share. What is its market capitalization?

A. €48 million

B. €36 million

C. €25 million

D. €40 million

Answer: (B)

Explanation

Market capitalization equals the market price per share multiplied by shares outstanding: $3\text{ million} \times €12 = €36\text{ million}$. The book value of equity is a separate accounting measure and is not used in this calculation.

32. A firm has market value of equity of €60 million and book value of equity of €40 million. What is its market-to-book ratio?

A. 2.0

B. 1.5

C. 100

D. 0.67

Answer: (B)

Explanation

The market-to-book ratio is calculated as market value of equity divided by book value of equity: $\frac{€60\text{ million}}{€40\text{ million}} = 1.5$. A ratio below one would indicate that market value is lower than book value, which is not the case here.

33. Why can a company report positive net income while still having weak prospects for future performance?

A. High recurring cash generation can make reported earnings less representative of performance

B. Investment spending can improve earnings quality by increasing non-cash accounting adjustments

C. Non-cash, accrual, extraordinary, and non-recurring items can distort earnings quality

D. Lower financial debt can cause accounting earnings to become less sustainable over time

Answer: (C)

Explanation

Positive net income may be affected by accounting items that do not represent recurring cash generation, so it does not by itself guarantee strong future performance. High recurring cash generation is instead a sign of sustainability, not a reason earnings quality is weak.

34. Which characteristic distinguishes EBITDA from EBIT when evaluating operating performance?

A. EBITDA excludes depreciation, amortization, and impairment charges

B. EBITDA changes directly with the firm’s financial debt and tax expense

C. EBITDA incorporates non-recurring items to reflect the complete income statement

D. EBITDA includes depreciation, amortization, and impairment charges in operating profit

Answer: (A)

Explanation

EBITDA measures wealth generated by the core business without being altered by depreciation, amortization, impairment, debt, taxes, or non-recurring items. EBIT includes depreciation, amortization, and impairment losses, making the second option incorrect.

35. A company has positive free cash flow after meeting its operating and investment needs. What can it reasonably do with the surplus?

A. Raise additional financing to cover routine operating requirements

B. Treat it as evidence that capital expenditures exceeded operating cash generation

C. Use it to pay dividends or reduce outstanding debt

D. Classify it as a decline in financial strength caused by cash spending

Answer: (C)

Explanation

Positive free cash flow means operating cash generation covers operating and investment needs, leaving funds that may support dividends or debt reduction. Additional financing is associated with negative free cash flow when internal cash does not cover capital requirements.

36. What does free cash flow greater than zero indicate about a company’s financial position?

A. Its surplus must be directed toward raising additional financial resources

B. Its activity-generated cash covers operating and investment needs

C. Its capital requirements exceed the cash generated by its activities

D. Its operating cash flow is insufficient to support planned investment

Answer: (B)

Explanation

Free cash flow above zero indicates that cash generated by the company covers its operating and investment needs. A shortfall requiring additional resources describes negative free cash flow instead.

37. A firm reports free cash flow below zero during a period of substantial capital investment. What financial consequence follows?

A. The firm’s operating cash generation has covered all investment requirements

B. The firm has surplus cash available for discretionary debt repayment

C. The firm must raise additional resources to cover its capital requirements

D. The firm can distribute the shortfall as dividends without external funding

Answer: (C)

Explanation

Negative free cash flow means the company’s internally generated cash does not cover its capital requirements, so additional financial resources must be raised. A surplus available for debt repayment is associated with positive free cash flow.

38. How does a margin differ from a return in financial analysis?

A. A margin measures cash generation, whereas a return measures non-cash accounting adjustments

B. A margin relates profit to invested capital, whereas a return relates profit to net revenue

C. A margin measures debt capacity, whereas a return measures the level of investment spending

D. A margin relates profit to net revenue, whereas a return relates profit to invested capital

Answer: (D)

Explanation

A margin uses net revenue as the denominator, while a return uses invested capital. The second option reverses these denominators, which is the key distinction being tested.

39. A company earns profit of $12$ million on net revenue of $80$ million. What is its margin ratio?

A. $68\%$

B. $15\%$

C. $6.7\%$

D. $92\%$

Answer: (B)

Explanation

The margin ratio is calculated as profit divided by net revenue, so $12 \div 80 = 0.15 = 15\%$. A return ratio would require invested capital as its denominator rather than revenue.

40. What is the main analytical use of margin ratios?

A. They show invested capital relative to profit and determine the company’s financing mix

B. They measure cash balances directly and identify the amount available for dividends

C. They show profit relative to revenue and support comparisons across firms and periods

D. They replace industry benchmarks by providing an absolute measure of operating success

Answer: (C)

Explanation

Margin ratios scale income-statement items as percentages of revenue, indicating the ability to generate profit after expenses and supporting comparisons across firms and over time. Invested capital belongs in return analysis, not in the definition of a margin ratio.

41. Which approach provides an appropriate benchmark for evaluating a company’s margins?

A. Judge them from a single reporting period without using targets or external comparisons

B. Compare them over time, with competitors and industry peers, or with company targets

C. Evaluate them through investment policy while excluding industry and competitor information

D. Compare them with cash balances without considering changes in revenue or expenses

Answer: (B)

Explanation

Appropriate margin benchmarking uses time trends, competitor and industry-peer comparisons, or the company’s own targets. A single-period judgment without comparative context cannot show whether margins are strong or improving.

42. Which expression correctly calculates Return on Invested Capital?

A. $ROIC = \frac{EBIT}{Shareholders'\ Equity}$

B. $ROIC = \frac{Net\ Income}{Fixed\ Assets + Working\ Capital}$

C. $ROIC = \frac{Net\ Income}{Shareholders'\ Equity}$

D. $ROIC = \frac{EBIT}{Fixed\ Assets + Working\ Capital}$

Answer: (D)

Explanation

ROIC measures the operating return generated by EBIT relative to all capital invested in fixed assets and working capital. The net-income-to-equity expression measures ROE, which focuses on shareholders’ accounting return.

43. What does Return on Equity measure?

A. The market value created by each unit of invested capital

B. The cash generated before interest and taxes are deducted

C. The owners’ accounting return on their investments in a company

D. The operating return earned on fixed assets and working capital

Answer: (C)

Explanation

ROE evaluates the accounting return earned by the company’s owners on their equity investment. The operating return on fixed assets and working capital is the focus of ROIC rather than ROE.

44. A company reports net income of €12 million and shareholders’ equity of €80 million. What is its ROE?

A. 6.7%

B. 68%

C. 92%

D. 15%

Answer: (D)

Explanation

Using $ROE = \frac{Net\ Income}{Equity}$ gives $\frac{€12\text{ million}}{€80\text{ million}} = 15\%$. The other percentages result from incorrect divisions or reversed relationships.

45. Which cash flows can be directly compared or combined without first adjusting for time?

A. Cash flows expressed in the same currency

B. Cash flows generated by the same investment

C. Cash flows that have the same nominal amount

D. Cash flows measured at the same point in time

Answer: (D)

Explanation

Cash-flow values are directly comparable or combinable when they are stated at the same date. Equal amounts, common currency, or a shared investment do not remove differences caused by timing.

46. An investor wants to move a present value forward by three periods at rate $r$. Which operation is appropriate?

A. Subtract three periods of interest from the present value

B. Compound it using $FV = PV(1+r)^3$

C. Divide the present value by the number of periods

D. Discount it using $PV = \frac{FV}{(1+r)^3}$

Answer: (B)

Explanation

Moving a cash flow forward requires compounding, so the value becomes $FV = PV(1+r)^3$. Discounting is used to move a future cash flow backward toward the present.

47. A future cash flow of €10,000 is received in two years when the discount rate is 5% per year. Which expression gives its present value?

A. $PV = €10{,}000(1.05)^2$

B. $PV = €10{,}000 - (0.05)^2$

C. $PV = \frac{€10{,}000}{(1.05)^2}$

D. $PV = \frac{€10{,}000}{1.05 \times 2}$

Answer: (C)

Explanation

A future cash flow is moved backward by discounting it through each of the two periods, giving $PV = \frac{FV}{(1+r)^N}$. Compounding would move the amount forward, while the other expressions do not apply the required time-value relationship.

48. How is the present value of a stream of cash flows calculated?

A. By discounting the total undiscounted stream with one common period

B. By multiplying each cash flow by its period number before adding them

C. By summing each period’s cash flow after discounting it to the present

D. By adding all cash flows and applying the interest rate after maturity

Answer: (C)

Explanation

A cash-flow stream is valued by discounting each cash flow according to its timing and then summing the resulting present values. A single discounting operation on the total ignores the fact that payments occur in different periods.

49. A constant perpetuity pays €30,000 annually, with the first payment in one year, and is discounted at 8%. What is its present value?

A. €30,000

B. €240,000

C. €3,750,000

D. €375,000

Answer: (D)

Explanation

The perpetuity value is $PV = \frac{C}{r} = \frac{€30{,}000}{0.08} = €375{,}000$ when the first payment occurs in one year. €240,000 applies an incorrect multiplication, while €30,000 ignores the stream of future payments.

50. What does the net present value of a project measure?

A. The ratio of project earnings to its initial investment

B. The difference between the present value of benefits and costs

C. The total amount of undiscounted cash generated by a project

D. The difference between accounting revenue and operating expenses

Answer: (B)

Explanation

NPV compares the present value of a project's benefits with the present value of its costs. Accounting profit is different because NPV discounts cash flows and accounts for the opportunity cost of capital.

51. A project has present-value benefits of €250,000 and present-value costs of €210,000. What is its NPV?

A. €460,000

B. €210,000

C. €40,000

D. €250,000

Answer: (C)

Explanation

Using $NPV = PV(\text{Benefits}) - PV(\text{Costs})$ gives €250,000 − €210,000 = €40,000. The sum of benefits and costs would not measure the project's net value.

52. Why can a project with a positive undiscounted return still have a negative NPV?

A. Its initial investment may be recorded as an operating expense

B. Its cash flows may increase after the project has been completed

C. Its accounting revenue may be lower than its depreciation expense

D. Its future cash flows may not cover the required return after discounting

Answer: (D)

Explanation

A positive undiscounted return can still fall short of the required return when future cash flows are discounted. The project therefore may destroy value even though its nominal cash gain is positive.

53. When comparing two mutually exclusive investment plans, which plan should be selected under the NPV rule?

A. The plan with the higher undiscounted revenue

B. The plan with the higher NPV

C. The plan with the lower initial investment

D. The plan with the shorter project duration

Answer: (B)

Explanation

The NPV rule favors the alternative that creates more value, so the plan with the highest NPV should be chosen. A shorter duration or lower initial cost does not by itself imply greater value creation.

54. What is the internal rate of return of a project?

A. The compound annual average rate of return generated by the project

B. The annual growth rate of the project's accounting profit

C. The market return available on a comparable-risk investment

D. The discount rate that produces the project's highest NPV

Answer: (A)

Explanation

IRR represents the project's compound annual average rate of return. The required return is a benchmark for judging that return, while IRR is not the rate that maximizes NPV.

55. What condition defines a project's internal rate of return?

A. It is the interest rate earned on the initial investment without reinvestment

B. It is the discount rate at which the project's NPV reaches its maximum

C. It is the market rate earned by investments with comparable risk

D. It is the discount rate at which the project's NPV equals zero

Answer: (D)

Explanation

IRR is found by solving $NPV = 0$ for the discount rate. The rate that maximizes NPV is a different concept, and the market rate is the required return rather than the IRR.

56. An investment has an IRR of 14% and a required return of 10%; how should it generally be evaluated?

A. Reject it because its return is below the project's initial investment

B. Accept it because its NPV must equal zero at the required return

C. Reject it because IRR is not compared with a required return

D. Accept it because its return exceeds the opportunity cost of capital

Answer: (D)

Explanation

An investment is generally accepted when its IRR exceeds the required return, because it covers the opportunity cost of capital. An IRR of 14% therefore compares favorably with a 10% benchmark.

57. What does the payback period measure?

A. The time required to recover the initial investment

B. The return required to compensate for project risk

C. The time required for accounting profit to equal the investment

D. The present value of benefits less the present value of costs

Answer: (A)

Explanation

The payback period measures elapsed time until the initial investment is recovered. It does not measure value creation after discounting cash flows, which is the role of NPV.

58. A company will accept projects with a payback period of three years or less. How should a project with a 2.5-year payback period be treated under this rule?

A. Reject it because payback does not measure the project's NPV

B. Accept it because its return must exceed the cost of capital

C. Reject it because recovery must occur within two years

D. Accept it because its recovery time is below the prespecified limit

Answer: (D)

Explanation

The payback rule accepts a project when its recovery period is less than the prespecified cutoff, so a 2.5-year period passes a three-year limit. Passing the cutoff does not establish that the project exceeds the cost of capital.

59. What important limitation makes the payback rule different from NPV analysis?

A. Payback ignores the cost of capital and the time value of money

B. Payback discounts future cash flows using a risk-adjusted required return

C. Payback measures profitability while NPV measures elapsed recovery time

D. Payback includes depreciation but NPV excludes all operating costs

Answer: (A)

Explanation

The payback rule counts elapsed time without discounting cash flows or applying the cost of capital. NPV incorporates the time value of money through discounting, so it provides a value-creation measure that payback does not.

60. Why are forecasted earnings not identical to forecasted cash flows in capital budgeting?

A. Earnings treat depreciation, accruals, and capital expenditures differently from cash

B. Earnings include every cash receipt while cash flows exclude noncash expenses

C. Earnings are discounted at the cost of capital while cash flows are undiscounted

D. Earnings measure recovery time while cash flows measure the required return

Answer: (A)

Explanation

Net income and cash flow differ because accounting earnings handle depreciation, accruals, and capital expenditures differently from actual cash movements. Consequently, forecasted earnings cannot be substituted directly for forecasted project cash flows.