Corporate Finance Quiz: Payback Methods
20 questions · exam conditions
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Payback MethodsQuestion 1 of 20

A project has an initial cost of $400,000 and is expected to generate the following cash flows: Year 1: $120,000; Year 2: $150,000; Year 3: $180,000; Year 4: $200,000. The company's required rate of return is 12%. What is the project's discounted payback period?

2.61 years
2.81 years
3.17 years
3.35 years
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Corporate Finance Quiz

Corporate Finance Quiz: Payback Methods

Practice Payback Methods in Corporate Finance with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Payback Methods, giving you a quick way to practice the rules, question types, and explanations that matter most for Corporate Finance.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A project has an initial cost of $400,000 and is expected to generate the following cash flows: Year 1: $120,000; Year 2: $150,000; Year 3: $180,000; Year 4: $200,000. The company's required rate of return is 12%. What is the project's discounted payback period?

  1. 2.61 years
  2. 2.81 years
  3. 3.17 years
  4. 3.35 years (correct answer)
Explanation: To find the discounted payback period, first discount each cash flow to its present value. PV(CF1) = $120,000 / (1.12)^1 = $107,143 PV(CF2) = $150,000 / (1.12)^2 = $119,579 PV(CF3) = $180,000 / (1.12)^3 = $128,116 PV(CF4) = $200,000 / (1.12)^4 = $127,100 Next, find the cumulative discounted cash flows: Year 1: -$400,000 + 107,143=−107,143 = -292,857 Year 2: -$292,857 + 119,579=−119,579 = -173,278 Year 3: -$173,278 + 128,116=−128,116 = -45,162 Recovery happens in Year 4. The fractional year is the remaining amount to recover divided by the discounted cash flow in that year: $45,162 / $127,100 = 0.355. Discounted Payback Period = 3 + 0.355 = 3.35 years.

Question 2

A company is considering a project with an initial investment of $750,000. The projected cash inflows are $200,000 in Year 1, $300,000 in Year 2, and an unknown amount in Year 3. If the project's payback period is exactly 2.80 years, what is the required cash inflow for Year 3?

  1. $250,000
  2. $312,500 (correct answer)
  3. $357,143
  4. $400,000
Explanation: First, calculate the unrecovered investment at the end of Year 2. Initial Investment: $750,000 Cumulative Inflow after Year 2: $200,000 (Y1) + $300,000 (Y2) = $500,000 Unrecovered Amount at start of Year 3: $750,000 - $500,000 = $250,000. The payback period is 2.80 years, meaning the fractional year is 0.80. The formula for the payback period is: Full Years + (Unrecovered Amount / Cash Flow in Next Year). So, 2.80 = 2 + ($250,000 / CF_Year3). This simplifies to 0.80 = $250,000 / CF_Year3. Solving for CF_Year3: CF_Year3 = $250,000 / 0.80 = $312,500.

Question 3

If a project's discounted payback period is determined to be shorter than the project's economic life, which of the following can be concluded with certainty?

  1. The project's simple payback period is also shorter than its economic life.
  2. The project's net present value (NPV) is positive. (correct answer)
  3. The project's internal rate of return (IRR) is equal to the discount rate used.
  4. The project is more profitable than any alternative investment.
Explanation: The discounted payback period is the time it takes for the cumulative discounted cash inflows to equal the initial investment. If this occurs before the end of the project's life, it means that by the end of its life, the sum of the discounted cash inflows will be greater than the initial investment. This is the definition of a positive Net Present Value (NPV). Option A is not necessarily true - the simple payback could still exceed the project life even when discounted payback doesn't. The IRR would be greater than, not equal to, the discount rate (C). Profitability relative to other projects cannot be determined (D).

Question 4

For a conventional project with positive cash flows, the discounted payback period will always be longer than the simple payback period, assuming a positive discount rate. How does the difference between the discounted payback period and the simple payback period change as the firm's required rate of return increases?

  1. The difference decreases because higher rates diminish the importance of distant cash flows.
  2. The difference increases because the present value of each cash inflow is reduced more significantly. (correct answer)
  3. The difference remains constant because the underlying cash flows of the project do not change.
  4. The difference will change unpredictably, depending on the specific timing and magnitude of the cash flows.
Explanation: A higher required rate of return (discount rate) leads to lower present values for all future cash flows. This means it will take longer for the cumulative discounted cash flows to recover the initial investment. As the rate increases, the PV of each cash flow decreases, stretching out the discounted payback period even further relative to the simple payback period. Therefore, the difference between the two periods widens.

Question 5

A firm has a strict policy of only accepting projects with a payback period of 3.0 years or less. It is evaluating a project with a $600,000 initial outlay. Expected annual cash inflows are $220,000 in Year 1 and $250,000 in Year 2. The cash inflow for Year 3 is uncertain due to market conditions. What is the minimum cash inflow required in Year 3 for the project to be accepted?

  1. $130,000 (correct answer)
  2. $175,000
  3. $220,000
  4. $250,000
Explanation: First, determine the unrecovered investment at the beginning of Year 3. Cumulative cash flow after Year 2 = $220,000 (Y1) + $250,000 (Y2) = $470,000. Unrecovered amount = $600,000 - $470,000 = $130,000. To meet a payback period of exactly 3.0 years, the project must recover this remaining $130,000 during Year 3. Therefore, the minimum cash inflow required in Year 3 is $130,000. Any amount less than this would result in a payback period longer than 3.0 years.

Question 6

A company is analyzing a project with an initial cost of $250,000. The after-tax cash flows are: Year 1: $70,000, Year 2: $90,000, Year 3: $110,000, and Year 4: $100,000. The company's policy is to accept projects with a payback period of 3 years or less. Which statement is correct?

  1. The project should be rejected as its payback period is 3.17 years.
  2. The project should be accepted as its payback period is 2.91 years.
  3. The project's payback cannot be determined without a discount rate.
  4. The project should be accepted as its payback period is 2.82 years. (correct answer)
Explanation: When evaluating capital investment projects, the payback period measures how long it takes to recover the initial investment from after-tax cash flows. This straightforward metric helps companies assess liquidity risk and compare projects against predetermined acceptance criteria. To calculate the payback period, you accumulate cash flows year by year until they equal or exceed the initial investment. Here, the initial cost is $250,000. By the end of Year 1, you've recovered $70,000. After Year 2, the cumulative recovery is 160,000(160,000 (70,000 + $90,000). After Year 3, you've recovered 270,000(270,000 (160,000 + $110,000), which exceeds the $250,000 initial investment. Since the full recovery occurs partway through Year 3, you need to calculate the exact timing. At the start of Year 3, you still need 90,000(90,000 (250,000 - $160,000). Year 3 generates $110,000, so the recovery takes $90,000110,000=0.818\frac{90,000}{110,000} = 0.818 ofYear3.Thetotalpaybackperiodisof Year 3. The total payback period is 2+0.818=2.822 + 0.818 = 2.82 $ years. Since this is less than the 3-year threshold, the project should be accepted. Answer A uses an incorrect calculation method, likely dividing the remaining amount by a wrong cash flow figure. Answer B shows a computational error in the fractional year calculation. Answer C reflects a common misconception—the simple payback period uses undiscounted cash flows, so no discount rate is needed. The discounted payback period would require a discount rate, but that's not what's being asked here. Remember: Simple payback calculations always use nominal cash flows and straightforward addition—no discounting required.

Question 7

A project has a discounted payback period of 3.5 years using a 10% discount rate. If the company's chief financial officer decides to lower the discount rate to 8% due to a change in the firm's risk profile, what will be the effect on the project's discounted payback period?

  1. It will become longer than 3.5 years.
  2. It will become shorter than 3.5 years. (correct answer)
  3. It will remain unchanged at 3.5 years.
  4. The effect cannot be determined without the project's cash flows.
Explanation: Lowering the discount rate from 10% to 8% will increase the present value of all future cash inflows. Because each year's discounted cash flow is now larger, the cumulative discounted cash flow will reach the initial investment amount more quickly. Therefore, the discounted payback period will become shorter than 3.5 years.

Question 8

A project has the following unconventional cash flows: an initial outflow of $200,000, inflows of $150,000 in both Year 1 and Year 2, and a required outflow of $120,000 in Year 3 for environmental cleanup. What is the project's payback period?

  1. 1.33 years (correct answer)
  2. 2.00 years
  3. 3.00 years
  4. The project has multiple payback periods.
Explanation: The conventional payback period calculation stops once the initial investment is recovered. Year 0: -$200,000 (Initial Investment) Year 1: -$200,000 + 150,000=−150,000 = -50,000 (Unrecovered) Year 2: The cash inflow is $150,000. The amount needed to recover is $50,000. Payback occurs during Year 2. Fractional Year = $50,000 / $150,000 = 0.33 Payback Period = 1 + 0.33 = 1.33 years. The subsequent outflow in Year 3 is ignored by the standard payback calculation. While unconventional cash flows can lead to multiple payback periods if the cumulative cash flow becomes negative again, the standard definition measures the first time the initial investment is recovered.

Question 9

A project's payback period is calculated to be 3.4 years, while the company's maximum acceptable payback period is 3.0 years. However, the project's NPV is highly positive. What is the most appropriate recommendation an analyst should make to management?

  1. Reject the project because it violates the company's established payback policy.
  2. Accept the project because the NPV rule is theoretically superior to the payback rule.
  3. Recommend accepting the project, but highlight the conflict with the payback policy and explain why the NPV signal is more reliable. (correct answer)
  4. Recalculate the payback period using a lower discount rate until it falls below the 3.0-year threshold.
Explanation: While the project fails the payback test, its highly positive NPV indicates it is expected to create significant shareholder value. The payback period is a secondary, non-value-based metric often used as a liquidity or risk screen. The NPV rule is the gold standard for capital budgeting decisions. The most professional and appropriate action is to recommend accepting the value-creating project while acknowledging the policy exception and justifying it based on the superiority of the NPV metric for wealth maximization.

Question 10

A project costs $300,000 and has cash inflows of $90,000 in Year 1, $120,000 in Year 2, and $150,000 in Year 3. Which of the following is closest to the amount of unrecovered investment at the beginning of the year in which payback occurs?

  1. $210,000
  2. $150,000
  3. $90,000 (correct answer)
  4. $30,000
Explanation: This question requires identifying the start of the payback year. Initial Investment: $300,000. After Year 1: Unrecovered amount is $300,000 - $90,000 = $210,000. After Year 2: Unrecovered amount is $210,000 - $120,000 = $90,000. At the beginning of Year 3, the project still needs to recover $90,000. The cash flow in Year 3 is $150,000, which is sufficient to cover the remaining balance. Therefore, payback occurs during Year 3, and the unrecovered investment at the beginning of that year is $90,000.

Question 11

A project requires a $500,000 initial outlay and is expected to generate operating cash flows of $150,000 per year. The equipment will have a salvage value of $50,000 at the end of its 5-year life. What is the payback period for this project?

  1. 3.00 years
  2. 2.67 years
  3. 3.67 years
  4. 3.33 years (correct answer)
Explanation: The payback period measures how long it takes for a project's cumulative cash inflows to recover the initial investment. This capital budgeting metric helps assess liquidity risk and is particularly useful for comparing projects with similar returns but different cash flow timing. To calculate the payback period, you need to determine when cumulative cash flows equal the initial outlay. Here, the initial investment is $500,000, and the project generates $150,000 annually in operating cash flows. Notice that the salvage value of $50,000 is irrelevant for payback calculation—you only consider operating cash flows until the investment is recovered. After year 1: $150,000 cumulative cash flow After year 2: $300,000 cumulative cash flow
After year 3: $450,000 cumulative cash flow At this point, you still need 50,000more(50,000 more (500,000 - $450,000) to recover the full investment. Since year 4 brings another $150,000, you need $50,000150,000=0.33\frac{50,000}{150,000} = 0.33 $ of that year. Therefore, the payback period is 3.33 years. Answer A (3.00 years) incorrectly assumes full recovery after exactly three years, ignoring the remaining $50,000 needed. Answer B (2.67 years) likely results from a calculation error, perhaps incorrectly using the salvage value. Answer C (3.67 years) represents another computational mistake, possibly confusing the fraction of the fourth year needed. Remember: payback period calculations use only operating cash flows, not salvage values, and require precise fractional year calculations when recovery doesn't occur at year-end.

Question 12

An analyst is evaluating two mutually exclusive projects, Project Lux and Project Rea. Project Lux has high initial cash inflows that decline over time. Project Rea has low initial cash inflows that increase substantially in later years. Both projects have the same initial investment and the same 5-year life. The net present value (NPV) of Project Rea is significantly higher than that of Project Lux.

Which of the following statements most accurately describes the conflict in ranking these two projects?

  1. The payback period will favor Project Rea, while the discounted payback period will favor Project Lux.
  2. Both payback methods will favor Project Lux, potentially creating a conflict with the NPV rule's preference for Project Rea. (correct answer)
  3. The payback period will favor Project Lux, while the NPV rule will favor Project Rea, but the discounted payback period will align with NPV.
  4. Both payback methods and the NPV rule will favor Project Rea, indicating no conflict in the decision-making criteria.
Explanation: Payback and discounted payback methods are biased towards liquidity and quick returns. Project Lux, with its high initial cash inflows, will have a shorter payback and discounted payback period than Project Rea. However, the NPV rule considers all cash flows and the time value of money, and it indicates that Project Rea creates more value. This creates a classic conflict: payback methods favor the project with early cash flows (Lux), while NPV favors the project with the highest overall value (Rea).

Question 13

A manager uses the payback period to select Project A over Project B. Project A has a payback of 2.5 years and total cash inflows of $1M over its 5-year life. Project B has a payback of 3.1 years but generates a very large cash inflow in Year 4, leading to total cash inflows of $3M over its 5-year life. Both projects have identical initial investments. This decision most clearly illustrates which critical weakness of the payback period rule?

  1. It is biased against long-term projects and may not reflect overall profitability. (correct answer)
  2. It ignores the time value of money within the payback period.
  3. It requires the use of an arbitrary cutoff point for decision-making.
  4. It fails to properly account for the initial capital investment required.
Explanation: When evaluating capital budgeting questions involving payback period, focus on what specific weakness is being highlighted by the scenario's details. The payback period measures how quickly a project recovers its initial investment, but this scenario reveals its most critical flaw. Project A recovers its investment in 2.5 years with $1M total cash flows, while Project B takes 3.1 years but generates $3M total—three times more cash flow over the same 5-year period. By choosing Project A solely based on faster payback, the manager is sacrificing $2M in additional cash flows to recover the investment just 0.6 years sooner. Answer A correctly identifies this weakness: payback period is biased against long-term projects and ignores overall profitability. The method stops counting once the initial investment is recovered, completely disregarding any cash flows afterward. Project B's "very large cash inflow in Year 4" never factors into the payback calculation, even though it dramatically improves the project's total value. Answer B is incorrect because while payback does ignore time value of money, that's not the primary issue illustrated here—the problem is ignoring cash flows entirely after payback. Answer C is wrong because no arbitrary cutoff point is mentioned in this scenario. Answer D is incorrect because both projects have identical initial investments, so this isn't about how initial investment is handled. Study tip: When you see payback period questions, immediately check what happens to cash flows after the payback point. The method's biggest weakness is treating post-payback cash flows as worthless, potentially leading to poor long-term investment decisions.

Question 14

A project requires an initial investment that includes a $1.2 million equipment purchase and a $150,000 increase in net working capital (NWC). The project generates after-tax cash flows of $450,000 per year for five years. The NWC is fully recovered at the end of the project's life. What is the project's payback period?

  1. 2.67 years
  2. 2.89 years
  3. 3.33 years
  4. 3.00 years (correct answer)
Explanation: Payback period questions test your ability to determine how long it takes to recover the initial investment from project cash flows. The key is correctly identifying the total initial outlay and then tracking cumulative cash flows until they equal that investment. Your initial investment includes both the equipment purchase (1.2million)andtheincreaseinnetworkingcapital(1.2 million) and the increase in net working capital (150,000), totaling $1.35 million. While the NWC is recovered at the end, it still represents cash tied up initially that needs to be "paid back" through the project's cash flows. With annual after-tax cash flows of $450,000, you can calculate: $\text{Payback Period} = \frac{\1,350,000}{$450,000} = 3.00 \text{ years} Choice A (2.67 years) incorrectly uses only the equipment cost as the initial investment: $1,200,000 ÷ $450,000 = 2.67. This ignores the working capital requirement entirely. Choice B (2.89 years) appears to result from some calculation error, possibly mixing up components of the initial investment. Choice C (3.33 years) might come from incorrectly adding the NWC recovery to the denominator instead of recognizing it as part of the initial outlay, or from other computational mistakes. Remember that payback period calculations must include all initial cash outflows, including working capital increases, even though working capital is typically recovered later. The working capital recovery at project end doesn't affect the payback calculation—it's simply additional cash flow beyond the payback point.

Question 15

A project has a regular payback period of 2.4 years and a discounted payback period of 3.1 years at 15% cost of capital. If the project's cash flows were to increase by 20% each year while maintaining the same timing pattern, what would happen to both payback measures?

  1. Regular payback decreases to 2.0 years; discounted payback decreases to 2.58 years proportionally (correct answer)
  2. Regular payback decreases to 2.0 years; discounted payback decreases to 2.65 years non-proportionally
  3. Both payback periods decrease by exactly 20% since cash flows increased by 20% uniformly
  4. Regular payback becomes 2.2 years; discounted payback becomes 2.8 years due to scaling effects
Explanation: When all cash flows increase by 20%, both numerator (investment recovery needed) and denominator (annual cash flows) scale proportionally. New regular payback = 2.4/1.2 = 2.0 years. For discounted payback, the same proportional relationship applies since all cash flows scale equally: 3.1/1.2 = 2.58 years. The discount rate doesn't change this proportional scaling effect.

Question 16

A manufacturing company is comparing two equipment purchases. Machine A costs $400,000 and generates cash flows of $120,000, $140,000, $160,000, and $180,000 in years 1-4. Machine B costs $400,000 and generates $180,000, $160,000, $140,000, and $120,000 in years 1-4. At a 14% cost of capital, which statement about their payback characteristics is most accurate?

  1. Both machines have identical regular and discounted payback periods since total cash flows are equivalent
  2. Machine A has a shorter regular payback but longer discounted payback compared to Machine B
  3. Machine B has both shorter regular payback and shorter discounted payback periods due to front-loaded cash flows (correct answer)
  4. Machine A has both shorter regular payback and shorter discounted payback periods despite lower early-year cash flows
Explanation: Machine A regular payback: $120K + $140K + $140K (of Year 3's $160K) = 400K,so2+(400K, so 2 + (140K/$160K) = 2.88 years. Machine B: $180K + $160K + $60K (of Year 3's $140K) = 400K,so2+(400K, so 2 + (60K/$140K) = 2.43 years. For discounted payback at 14%, Machine B's advantage increases because earlier cash flows are discounted less heavily. Machine B's front-loaded pattern results in faster recovery in both nominal and present value terms.

Question 17

A capital project shows a discounted payback period of 4.6 years when evaluated at the company's 12% cost of capital. If inflation expectations increase, causing the company to raise its cost of capital to 16%, and assuming project cash flows remain nominally unchanged, what is the most likely outcome for the discounted payback analysis?

  1. Discounted payback period will extend beyond 4.6 years, potentially making the project unacceptable if it exceeds the maximum threshold (correct answer)
  2. Discounted payback period will decrease below 4.6 years since higher discount rates accelerate the recovery calculation methodology
  3. Discounted payback period will remain approximately 4.6 years since the change in cost of capital is relatively modest
  4. The project will automatically be rejected since discounted payback analysis cannot accommodate changes in cost of capital
Explanation: Higher discount rates reduce the present value of future cash flows, especially those further in the future. This means it takes longer (more years) to accumulate enough discounted cash flow to recover the initial investment. Therefore, discounted payback period increases from 4.6 years to something longer, potentially making a previously acceptable project unacceptable if it exceeds the company's maximum payback threshold.

Question 18

An investment of $240,000 generates the following cash flows: Year 1: $80,000, Year 2: $90,000, Year 3: $100,000, Year 4: $110,000. At what approximate discount rate would the discounted payback period equal the regular payback period?

  1. 0% discount rate, since only then are nominal and present values equivalent for comparison purposes (correct answer)
  2. 8% discount rate, representing the average internal rate of return across all four project years
  3. 12% discount rate, which is typically used as the standard corporate hurdle rate for payback analysis
  4. Cannot occur at any positive discount rate, since discounting always lengthens the payback period compared to nominal values
Explanation: Regular payback = 2 + (70,000/70,000/100,000) = 2.7 years. Discounted payback equals regular payback only when present values equal nominal values, which occurs only at a 0% discount rate. At any positive rate, discounting reduces early cash flows, requiring more time to recover the initial investment, making discounted payback longer than regular payback.

Question 19

When calculating a project's payback period, which of the following items is most likely to be incorrectly excluded from the initial investment at time 0?

  1. The purchase price of the new equipment.
  2. Shipping and installation costs for the new equipment.
  3. The required increase in net working capital. (correct answer)
  4. Depreciation expense for the first year.
Explanation: The full initial investment at time 0 includes all outlays necessary to begin the project. This consists of the equipment's purchase price plus any shipping and installation costs (which are capitalized). A frequent error is to forget the initial outlay for net working capital (e.g., increased inventory or accounts receivable). NWC is a cash outflow at the beginning of the project and must be included in the initial investment to be 'paid back.' Depreciation (D) is a non-cash expense and is not part of the initial investment calculation.

Question 20

A startup firm operating in a rapidly changing technology sector might prefer the payback period method for capital budgeting primarily because it:

  1. provides a more accurate measure of a project's profitability than NPV.
  2. is the only method that accounts for the recovery of net working capital.
  3. emphasizes liquidity and provides an implicit measure of a project's risk. (correct answer)
  4. aligns management incentives with long-term shareholder wealth maximization.
Explanation: For firms in high-risk, uncertain environments like a tech startup, quickly recovering the initial investment is a major concern. The payback period provides a simple measure of how long capital is at risk. A shorter payback period implies lower risk and faster return of capital (liquidity), which is highly valued when future cash flows are very uncertain. NPV is a better measure of profitability (A) and long-term value (D), but payback's focus on risk and liquidity is its main appeal in such contexts.