Capital Budgeting Examples

Use the live scenario to practice the calculation steps and management decisioning pattern for long-term investment analysis.

Topic Overview
Formula Reference
Method Formula Management use
Accounting rate of returnAverage annual accounting income ÷ Average investmentScreen investment performance using accrual income.
Payback periodInitial investment ÷ Annual net cash flowEvaluate how quickly cash is recovered.
Net present valuePV of future cash flows − Initial investmentMeasure value created after earning the required return.
Internal rate of returnDiscount rate where NPV = 0Estimate project return and compare it with the required return.
Present value costInitial cost + PV future costs − PV future benefitsCompare mutually exclusive cost alternatives.
Profitability indexPV of future cash flows ÷ Initial investmentRank independent projects when investment funds are limited.
Live Scenario Dashboard

The examples below use these values. Generate a new scenario to practice the same procedure with different numbers.

Scenario itemValueUse
CompanyIdentifies the live scenario.
ProjectIdentifies the investment proposal.
Initial investmentCash outflow at the start of the project.
Required returnDiscount rate and acceptance benchmark.
Input Value How it will be used
Capital Budgeting Learning Map
  1. Step 1 Identify the decision question: accept, reject, rank, or choose among alternatives.
  2. Step 2 Identify relevant cash flows, investment cost, useful life, salvage value, and required return.
  3. Step 3 Select the method: ARR, payback, NPV, IRR, present value cost, PI, or time value of money.
  4. Step 4 Perform the calculation step by step and label each intermediate value.
  5. Step 5 Verify the result against the decision rule.
  6. Step 6 State the management decision: choose X because Y.
CB LO 1 Examples: Accounting Rate of Return

Concept Summary: Accounting rate of return evaluates a capital investment using accrual accounting income rather than cash flow.

Example A: Build annual accounting income

Objective: Start from annual cash benefit and subtract depreciation to identify accounting income.

StepPurposeShow the WorkResult

Example B: Calculate ARR and make the screening decision

Objective: Compare ARR with management's required return.

StepPurposeShow the WorkManagement decision

Example C: Solve for required accounting income

Objective: Rearrange the ARR formula to determine the income needed to meet the target return.

KnownFormulaShow the WorkDecisioning
CB LO 2 Examples: Payback Period

Concept Summary: Payback period measures how long it takes for cash inflows to recover the initial investment.

Example A: Convert accounting income to annual cash flow

Objective: Add back depreciation to move from accounting income to cash flow.

KnownFormulaShow the WorkResult

Example B: Calculate payback with equal annual cash flows

Objective: Divide the investment by the annual cash inflow.

StepPurposeShow the WorkManagement decision

Example C: Calculate payback with uneven annual cash flows

Objective: Accumulate yearly cash flows until the investment is recovered, then compute the fractional year.

YearCash flowUnrecovered investment after cash flowProcedure
Fractional yearShow the WorkPayback periodManagement decision

Example D: Solve required annual cash flow for a target payback

KnownFormulaShow the WorkDecisioning
CB LO 3 Examples: Net Present Value

Concept Summary: Net present value discounts future cash flows to today's dollars, then subtracts the initial investment.

Example A: NPV with equal annual cash flows

Objective: Use the present value annuity factor for repeated equal cash inflows.

StepPurposeShow the WorkResult

Example B: NPV with uneven annual cash flows

Objective: Discount each year's cash flow separately.

YearCash flowPV factorShow the WorkPresent value

Example C: Include salvage value and compute NPV

Objective: Add the present value of terminal salvage value, then subtract the initial investment.

Line itemProcedureShow the WorkDecisioning

Example D: Solve maximum investment supported by the cash flows

Objective: Determine the largest investment that produces NPV = 0.

KnownFormulaShow the WorkManagement use

Example E: Select the strongest NPV project

Objective: Compare competing projects and choose the alternative that creates the most value.

ProjectPV of inflowsInvestmentNPVDecisioning
CB LO 4 Examples: Internal Rate of Return

Concept Summary: Internal rate of return is the discount rate where NPV equals zero.

Example A: Interpret IRR using the live NPV result

KnownProcedureShow the WorkInterpretation

Example B: Estimate the IRR factor for equal annual cash flows

KnownFormulaShow the WorkInterpretation

Example C: Estimate IRR using trial discount rates

Objective: Test rates until NPV approaches zero.

StepTrial rateShow the WorkNPV resultInterpretation

Example D: Select the estimated IRR and decide

Closest trial rateClosest NPVEstimated IRRManagement decision
CB LO 5 Examples: Mutually Exclusive Capital Investments

Concept Summary: Mutually exclusive alternatives compete against each other. A cost alternative usually uses the lower present value cost. A revenue alternative usually uses the higher NPV.

Example A: Compute present value cost of the purchase alternative

Line itemProcedureShow the WorkPV cost effect

Example B: Compute present value cost of the lease alternative

Line itemProcedureShow the WorkPV cost effect

Example C: Choose the preferred cost alternative

AlternativePresent value costComparisonManagement decision

Example D: Compare revenue projects using NPV

ProjectPV inflowsInitial investmentNPVDecisioning
CB LO 6 Examples: Profitability Index

Concept Summary: Profitability index measures value received per dollar invested.

Example A: Calculate and rank profitability index

ProjectPV of future cash flowsInitial investmentShow the WorkProfitability indexRank

Example B: Allocate limited capital

Objective: Use PI ranking to choose projects within a capital limit.

StepProcedureShow the WorkDecisioning

Example C: Solve required present value for a target PI

KnownFormulaShow the WorkManagement use
CB LO S1 Examples: Time Value of Money

Concept Summary: Time value of money converts amounts across time so alternatives can be compared on the same date.

Example A: Choose the correct factor

Cash-flow patternQuestionFactor selectedWhy

Example B: Present value of a single future amount

KnownFormulaShow the WorkResult

Example C: Present value of an annuity

KnownFormulaShow the WorkResult

Example D: Future value of a single amount and annuity

PatternFormulaShow the WorkResult
References

Datar, S. M., & Rajan, M. V. (2026). Horngren's cost accounting: A managerial emphasis. Pearson. https://www.pearson.com/en-us/subject-catalog/p/horngrens-cost-accounting/P200000012609

Garrison, R. H., Noreen, E. W., Brewer, P. C., & Montague, N. R. (2026). Managerial accounting. McGraw Hill. https://www.mheducation.com/highered/product/managerial-accounting-garrison.html

OpenStax. (2022). Principles of Accounting, Volume 2: Managerial Accounting. Rice University. https://openstax.org/details/books/principles-managerial-accounting

Whitecotton, S., Libby, R., & Phillips, F. (2025). Managerial accounting (2025 Release). McGraw Hill.