Capital Budgeting Examples
Use the live scenario to practice the calculation steps and management decisioning pattern for long-term investment analysis.
Formula Reference
| Method | Formula | Management use |
|---|---|---|
| Accounting rate of return | Average annual accounting income ÷ Average investment | Screen investment performance using accrual income. |
| Payback period | Initial investment ÷ Annual net cash flow | Evaluate how quickly cash is recovered. |
| Net present value | PV of future cash flows − Initial investment | Measure value created after earning the required return. |
| Internal rate of return | Discount rate where NPV = 0 | Estimate project return and compare it with the required return. |
| Present value cost | Initial cost + PV future costs − PV future benefits | Compare mutually exclusive cost alternatives. |
| Profitability index | PV of future cash flows ÷ Initial investment | Rank 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 item | Value | Use |
|---|---|---|
| Company | Identifies the live scenario. | |
| Project | Identifies the investment proposal. | |
| Initial investment | Cash outflow at the start of the project. | |
| Required return | Discount rate and acceptance benchmark. |
| Input | Value | How it will be used |
|---|
Capital Budgeting Learning Map
- Step 1 Identify the decision question: accept, reject, rank, or choose among alternatives.
- Step 2 Identify relevant cash flows, investment cost, useful life, salvage value, and required return.
- Step 3 Select the method: ARR, payback, NPV, IRR, present value cost, PI, or time value of money.
- Step 4 Perform the calculation step by step and label each intermediate value.
- Step 5 Verify the result against the decision rule.
- 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.
| Step | Purpose | Show the Work | Result |
|---|
Example B: Calculate ARR and make the screening decision
Objective: Compare ARR with management's required return.
| Step | Purpose | Show the Work | Management decision |
|---|
Example C: Solve for required accounting income
Objective: Rearrange the ARR formula to determine the income needed to meet the target return.
| Known | Formula | Show the Work | Decisioning |
|---|
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.
| Known | Formula | Show the Work | Result |
|---|
Example B: Calculate payback with equal annual cash flows
Objective: Divide the investment by the annual cash inflow.
| Step | Purpose | Show the Work | Management 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.
| Year | Cash flow | Unrecovered investment after cash flow | Procedure |
|---|
| Fractional year | Show the Work | Payback period | Management decision |
|---|
Example D: Solve required annual cash flow for a target payback
| Known | Formula | Show the Work | Decisioning |
|---|
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.
| Step | Purpose | Show the Work | Result |
|---|
Example B: NPV with uneven annual cash flows
Objective: Discount each year's cash flow separately.
| Year | Cash flow | PV factor | Show the Work | Present value |
|---|
Example C: Include salvage value and compute NPV
Objective: Add the present value of terminal salvage value, then subtract the initial investment.
| Line item | Procedure | Show the Work | Decisioning |
|---|
Example D: Solve maximum investment supported by the cash flows
Objective: Determine the largest investment that produces NPV = 0.
| Known | Formula | Show the Work | Management use |
|---|
Example E: Select the strongest NPV project
Objective: Compare competing projects and choose the alternative that creates the most value.
| Project | PV of inflows | Investment | NPV | Decisioning |
|---|
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
| Known | Procedure | Show the Work | Interpretation |
|---|
Example B: Estimate the IRR factor for equal annual cash flows
| Known | Formula | Show the Work | Interpretation |
|---|
Example C: Estimate IRR using trial discount rates
Objective: Test rates until NPV approaches zero.
| Step | Trial rate | Show the Work | NPV result | Interpretation |
|---|
Example D: Select the estimated IRR and decide
| Closest trial rate | Closest NPV | Estimated IRR | Management 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 item | Procedure | Show the Work | PV cost effect |
|---|
Example B: Compute present value cost of the lease alternative
| Line item | Procedure | Show the Work | PV cost effect |
|---|
Example C: Choose the preferred cost alternative
| Alternative | Present value cost | Comparison | Management decision |
|---|
Example D: Compare revenue projects using NPV
| Project | PV inflows | Initial investment | NPV | Decisioning |
|---|
CB LO 6 Examples: Profitability Index
Concept Summary: Profitability index measures value received per dollar invested.
Example A: Calculate and rank profitability index
| Project | PV of future cash flows | Initial investment | Show the Work | Profitability index | Rank |
|---|
Example B: Allocate limited capital
Objective: Use PI ranking to choose projects within a capital limit.
| Step | Procedure | Show the Work | Decisioning |
|---|
Example C: Solve required present value for a target PI
| Known | Formula | Show the Work | Management 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 pattern | Question | Factor selected | Why |
|---|
Example B: Present value of a single future amount
| Known | Formula | Show the Work | Result |
|---|
Example C: Present value of an annuity
| Known | Formula | Show the Work | Result |
|---|
Example D: Future value of a single amount and annuity
| Pattern | Formula | Show the Work | Result |
|---|
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.