Capital investment decisions
Build incremental after-tax cash flows, place them at the correct dates and discount them at a rate appropriate to their risk. NPV measures value added in currency; IRR and payback answer different questions and can disagree when projects differ in timing or scale.
Discount the incremental cash flows
- Present value
- Cash flow at time t ÷ (1 + required return) to the power t.
- Net present value
- Sum of discounted incremental cash flows, including the initial outlay.
- Interpretation
- Positive NPV adds value under the stated cash-flow and discount-rate assumptions.
Include relevant taxes, working capital and terminal cash flows when present. Positive NPV alone does not resolve capital rationing.
See the decision
A two-year project with positive NPV
Pay $50,000 now and receive incremental after-tax cash flows of $30,000 at each of the next two year-ends. The appropriate annual discount rate is 10%; there are no other flows.
- 01
Now
Invest $50,000
- 02
Year 1
Receive $30,000; PV $27,272.73
- 03
Year 2
Receive $30,000; PV $24,793.39
The project adds about $2,066 of value under these assumptions. Test the $30,000 annual cash-flow estimate before recommending commitment.
How to apply these ideas
1. Incremental cash flows
Include only future changes caused by the project.
Include opportunity costs, working-capital investment, disposal proceeds and relevant tax effects. Exclude sunk feasibility costs. Depreciation is noncash but can affect taxes. Avoid subtracting financing interest again when financing is already reflected in the discount rate.
Watch for: Using accounting income as project cash flow.
2. NPV
Discount each dated cash flow and subtract the initial investment.
A positive NPV adds value under the stated rate and cash-flow assumptions. Use a consistent nominal/real and pre-/after-tax basis. For mutually exclusive projects, assess the incremental value and constraints rather than choosing the largest percentage return automatically.
Watch for: Ignoring the timing of the terminal cash flow.
3. IRR and payback
Understand what each method measures and omits.
IRR is the rate that makes NPV zero; unusual cash-flow patterns can produce multiple or no useful IRRs. Ordinary payback measures recovery time without discounting and ignores later flows. Neither substitutes for checking the economic value of the complete stream.
Watch for: Choosing the quickest payback despite a lower total value.
4. Sensitivity and review
Test the assumptions that can reverse the decision.
Change one driver for sensitivity or a coherent group for a scenario. Identify switching values and major execution risks. After implementation, compare actual outcomes with the original assumptions to improve future estimates.
Watch for: Presenting a base-case NPV as a certain outcome.
Study the topic
Capital investment decisions: explanations and applications
Build incremental after-tax cash flows, apply appropriate appraisal measures and test the assumptions. Funding-cost derivation is owned by corporate finance; post-audit examines what happens after approval.
By MiloPrep editorial team. Original teaching explanations and illustrative cases; official curriculum references are listed below.
Build cash flows from the difference between alternatives
Include the purchase and installation cost, incremental operating receipts and payments, changes in working capital and the terminal recovery or disposal. Exclude sunk feasibility spending that will not change with the decision. Include opportunity cost, such as the proceeds forgone by using an asset that could otherwise be sold.
An allocation of head-office overhead is relevant only when the underlying cash flow changes. Interest expense is generally excluded from unlevered project cash flows discounted at a financing-inclusive WACC, to avoid counting financing cost twice. If a problem uses a different cash-flow framework, match its rate and financing treatment consistently.
Place tax and working capital on the correct dates
Depreciation is noncash but can reduce tax when deductions are usable. In a simplified model, operating cash flow equals (incremental revenue - cash operating costs - depreciation) × (1 - tax rate) + depreciation. Equivalent forms are valid if they preserve the same assumptions. A tax loss does not automatically create an immediate cash refund unless the facts support that treatment.
An increase in net working capital uses cash at the time the investment is required; release at project end creates a terminal inflow if the amount is recoverable. Terminal asset proceeds can have a tax effect based on the difference between selling price and tax basis. Do not treat gross proceeds, book gain and after-tax cash as interchangeable amounts.
Understand what each investment measure answers
NPV discounts incremental cash flows at an appropriate required return and reports value added in currency. A positive NPV supports acceptance of an independent project under the stated assumptions. IRR is a discount rate that makes NPV zero. With unconventional signs in cash flows, there may be multiple IRRs or no useful IRR, while NPV can still be evaluated at a specified required return.
Payback measures how long undiscounted cumulative inflows take to recover the initial outlay; discounted payback uses discounted flows. Both ignore value after their cutoff once recovery is reached. Profitability index relates discounted future inflows to the initial outflow under a stated convention and can assist constrained selection, but indivisible or interacting projects require a feasible combination analysis.
| Measure | Question answered | Key limitation |
|---|---|---|
| NPV | How much value is added at the required return? | Sensitive to cash-flow and rate assumptions |
| IRR | What rate makes modeled NPV zero? | Can misrank differing scales/timing or be ambiguous |
| Payback | When is the initial cash recovered? | Ignores time value and later cash flows |
| Discounted payback | When is discounted investment recovered? | Still ignores value after recovery |
| Profitability index | How much discounted inflow per initial investment? | Simple ranking may fail with indivisible projects |
Compare mutually exclusive projects on a consistent basis
For competing alternatives, a higher percentage return need not create more total value. A small project can have a high IRR and a lower NPV than a larger project. Compare incremental cash flows and the organization’s actual capital constraints. Do not accept both projects when they are mutually exclusive.
Different useful lives can require a common-horizon or equivalent-annual approach if repeatability and service assumptions make that comparison appropriate. A replacement decision should include the old asset’s current disposal opportunity and the incremental differences between keeping and replacing it. Its original purchase price is not the economic cost of keeping it today.
Test the value drivers and the ability to change course
Sensitivity analysis changes one assumption at a time, such as price, volume or terminal value. Scenario analysis combines consistent changes. Identify the switching value that drives NPV to zero where possible; it tells the reader how much forecast error the proposal can withstand. A downside case should change plausible linked drivers rather than subtracting the same arbitrary percentage from every line.
Options to delay, expand, stage or abandon can change the economics when management can act on new information. Describe the decision right, cost and trigger rather than adding an unexplained “flexibility premium.” A post-audit compares outcomes with the approval assumptions and improves future estimates; it should not confuse disappointing history with a reason to ignore favorable future cash flows.
Work it through
Worked example: A two-year project with positive NPV
Pay $50,000 now and receive incremental after-tax cash flows of $30,000 at each of the next two year-ends. The appropriate annual discount rate is 10%; there are no other flows.
| Time | Cash flow | Present value |
|---|---|---|
| Now | -$50,000 | -$50,000 |
| End of year 1 | $30,000 | $27,272.73 |
| End of year 2 | $30,000 | $24,793.39 |
- 1
NPV = -50,000 + 30,000 / 1.10 + 30,000 / 1.10² = $2,066.12.
- 2
Undiscounted total receipts are $60,000, but their present value is $52,066.12.
The project adds about $2,066 of value under these assumptions. Test the $30,000 annual cash-flow estimate before recommending commitment.
Work through the alternatives
More worked cases: capital investment decisions
Original teaching scenarios. Each case states its assumptions, shows the working and explains the limits of the conclusion.
Include the depreciation tax shield and working-capital release
Pay $40,000 for equipment and invest $5,000 working capital now. Two-year life, straight-line tax depreciation to zero, no salvage. Annual revenue less cash operating costs is $30,000. Tax rate is 25%, deductions are usable, required return 10%, and all working capital is recovered at year two.
| Time | Operating cash flow | Other cash flow | Total |
|---|---|---|---|
| Now | $0 | -$45,000 | -$45,000 |
| End year 1 | $27,500 | $0 | $27,500 |
| End year 2 | $27,500 | $5,000 | $32,500 |
- Annual depreciation = 40,000/2 = $20,000. Taxable operating income = 30,000 - 20,000 = $10,000; tax = $2,500. Operating cash flow = $27,500.
- NPV = -45,000 + 27,500/1.10 + 32,500/1.10² = $6,859.50.
What the result means: The $5,000 working-capital investment is an initial outflow and a terminal recovery, not a depreciation expense.
Higher IRR does not always mean higher value
Choose one of two one-year projects. A costs $10,000 and returns $13,000. B costs $50,000 and returns $60,000. Required return is 10%; capital is sufficient for either and there are no other differences.
| Project | IRR | NPV at 10% |
|---|---|---|
| A | 30% | $1,818.18 |
| B | 20% | $4,545.45 |
- A NPV = -10,000 + 13,000/1.10 = $1,818.18; B NPV = -50,000 + 60,000/1.10 = $4,545.45.
- B requires an extra $40,000 and returns an extra $47,000. The incremental NPV is $2,727.27.
What the result means: B adds more value under the stated mutually exclusive, unconstrained assumptions despite its lower IRR.
Practice this topic
Check your understanding
Try each short application before opening its explanation. These are original learning checks, not official exam questions or a score prediction.
1. Sell equipment for $12,000 when its tax basis is $8,000. Tax on the gain is 25%. Ignoring other effects, what are after-tax proceeds?
Show answer and explanation
$11,000.
The $4,000 taxable gain creates $1,000 tax. Subtract tax from the $12,000 cash proceeds, not from the gain alone.
2. A $7,000 feasibility study was paid last month and is nonrecoverable regardless of the decision. Should it enter incremental project NPV today?
Show answer and explanation
No.
It is sunk. A future study needed only if the project proceeds would be a different, potentially relevant cost.
3. An investment costs $18,000 and generates $6,000 at each year-end for four years. What is simple payback, and what does it omit?
Show answer and explanation
Three years; it omits time value and the fourth-year cash flow in the recovery measure.
NPV uses the timing and all four cash flows. Payback is not a substitute for a value calculation.
Questions about capital investment decisions
- Should sunk research costs enter NPV?
- No, if already incurred and unchanged by the decision. Future research spending that occurs only if the project proceeds can be relevant.
- Can payback and NPV rank projects differently?
- Yes. Payback emphasizes recovery speed and normally ignores later cash flows and discounting. NPV incorporates the complete dated cash-flow stream at the stated rate.
Sources and scope
Curriculum mapping: Part 2, Section E, Capital Investment Decisions. The official outline assigns 10% to the entire domain, not to this individual technique. These are selected study notes, not complete curriculum coverage.
Official curriculum references establish scope and expected skills. The explanations, diagrams and numerical cases are independent teaching material from MiloPrep, not official questions or source-validated solutions. Curriculum references checked 2026-10-10.
- IMA Content Specification Outlines (effective September 2024) ↗
Supports: Part 2, Section E, beginning on printed page 12. Domain names, weights and curriculum boundaries.
- IMA Learning Outcome Statements (effective September 2024) ↗
Supports: Part 2, Section E, beginning on printed page 26. The calculations, analysis and professional judgments candidates are expected to perform.
Independent US CMA study material. Not affiliated with or endorsed by IMA. This covers management accounting, not medical-assistant certification or the separate ICMAI qualification.