Corporate Finance Fundamentals: Capital Budgeting—Choosing Projects That Create Value

Capítulo 7

Estimated reading time: 10 minutes

+ Exercise

Capital budgeting is the set of decisions a company makes about long-term investments: new products, equipment, software, facilities, acquisitions, or major efficiency upgrades. The goal is not “growth” by itself—it is selecting projects that increase the company’s value by generating cash flows that exceed the project’s cost after considering timing and risk.

A repeatable capital budgeting process

Step 1: Define the project and the decision question

Start with a precise description of what is being approved: scope, start date, life, capacity, and what “success” means. The decision question is usually: Should we invest in this project given its expected incremental cash flows and risk?

  • Incremental means “with the project” minus “without the project.”
  • Cash flows means actual cash timing, not accounting earnings.
  • Risk-adjusted means the discount rate and assumptions should reflect uncertainty.

Step 2: Estimate incremental cash flows

Build cash flows from the perspective of the whole firm (project free cash flow). A practical way is to categorize them into three buckets:

  • Initial outlay (time 0): purchase price, installation, shipping, training directly required to launch, and any initial working capital investment.
  • Operating cash flows (years 1…N): incremental after-tax cash flows from operations, including cost savings or additional margin, and changes in working capital over time.
  • Terminal value (end of project): after-tax salvage value of assets plus recovery of working capital, plus any cleanup/decommissioning costs.

Common building blocks for operating cash flow include:

  • Incremental revenue (new sales) and incremental costs (COGS, labor, maintenance, software subscriptions).
  • Taxes on incremental operating profit.
  • Depreciation affects taxes (a non-cash expense that creates a tax shield).
  • Working capital changes: increases are cash outflows; decreases are inflows.

Step 3: Account for timing

Place each cash flow in the period when cash actually moves. Typical timing issues:

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  • Equipment paid upfront vs. staged payments.
  • Ramp-up period where revenues start later than costs.
  • Working capital invested before sales and recovered at the end.
  • Maintenance capex mid-life (a cash outflow in that year).

Step 4: Pick an appropriate discount rate

Use a discount rate that matches the project’s risk and financing mix (often the company’s hurdle rate for projects of similar risk). If the project is materially riskier or safer than the firm’s typical operations, adjust the rate or use scenario analysis to avoid systematically over- or under-investing.

Step 5: Compute decision metrics

Compute multiple metrics because each answers a different question and each can mislead in specific situations.

Step 6: Make a recommendation

Use NPV as the primary value-creation metric, supported by IRR, payback, and profitability index (PI) as secondary lenses. Document key assumptions, sensitivities, and the “go/no-go” logic.

The investment decision toolkit

Net Present Value (NPV)

What it is: The present value of all incremental cash inflows minus the present value of all incremental cash outflows, discounted at the appropriate rate.

Decision rule: Accept projects with NPV > 0 (they add value); reject projects with NPV < 0.

Why it’s useful: NPV directly measures value creation in currency units and correctly accounts for timing and risk via discounting.

Where it can mislead: NPV is only as good as the cash flow forecast and discount rate. It can also be harder to communicate to non-finance stakeholders than a percentage return.

Internal Rate of Return (IRR)

What it is: The discount rate that makes NPV equal to zero.

Decision rule: Accept if IRR > hurdle rate (for conventional cash flows).

Why it’s useful: IRR is intuitive as a “percentage return” and helpful for communicating performance targets.

Where it can mislead:

  • Multiple IRRs can occur when cash flows change sign more than once (e.g., large mid-life overhaul costs).
  • Reinvestment assumption: IRR implicitly assumes interim cash flows are reinvested at the IRR, which may be unrealistic for very high IRRs.
  • Scale problem: a small project can have a higher IRR but create less total value than a larger project with a slightly lower IRR.
  • Mutually exclusive projects: IRR can rank projects incorrectly when timing differs; NPV is the tie-breaker.

Payback period

What it is: How long it takes for cumulative cash inflows to recover the initial outlay (sometimes using undiscounted cash flows; sometimes discounted payback is used).

Decision rule: Accept if payback is shorter than a management cutoff.

Why it’s useful: Simple liquidity and risk screen—projects that recover cash quickly are less exposed to long-term uncertainty.

Where it can mislead: Ignores cash flows after payback and (in its basic form) ignores the time value of money. A project can “pay back” quickly but destroy value overall.

Profitability Index (PI)

What it is: The ratio of the present value of future cash inflows to the initial investment.

PI = PV(future cash inflows) / Initial outlay

Decision rule: Accept if PI > 1.0.

Why it’s useful: Helpful under capital rationing (limited budget). PI helps rank projects by “value created per dollar invested.”

Where it can mislead: Like IRR, PI can favor smaller projects with high efficiency even if a larger project creates more total value. Use PI for ranking when budget is constrained, but confirm with NPV.

Hands-on walkthrough: building cash flows and calculating NPV

Below is a simplified but realistic example of a project: purchasing an automated packaging line to increase capacity and reduce labor costs.

Project assumptions

  • Project life: 5 years
  • Discount rate (hurdle rate): 10%
  • Tax rate: 25%
  • Equipment purchase price: $500,000 (paid today)
  • Installation and training: $50,000 (paid today)
  • Initial working capital increase: $40,000 (extra inventory and receivables), invested today and recovered at the end
  • Incremental annual revenue: $220,000
  • Incremental annual cash operating costs: $90,000
  • Depreciation: straight-line over 5 years on equipment + installation ($550,000 / 5 = $110,000 per year)
  • Salvage value at year 5: $80,000 (expected sale price)

Step A: Identify the initial outlay (Year 0)

Initial outlay includes all cash paid to start the project plus initial working capital.

  • Equipment: -$500,000
  • Installation/training: -$50,000
  • Working capital investment: -$40,000

Year 0 cash flow = -$590,000

Step B: Compute annual operating cash flows (Years 1–5)

First compute incremental operating profit (EBIT) and then convert to after-tax cash flow by adding back depreciation (non-cash) and considering taxes.

Item (annual)Amount
Incremental revenue$220,000
Incremental cash operating costs($90,000)
Depreciation($110,000)
EBIT$20,000
Taxes (25% of EBIT)($5,000)
Net operating profit after tax (NOPAT)$15,000
Add back depreciation$110,000
Operating cash flow (OCF)$125,000

Assume no additional working capital changes during years 1–4 beyond the initial investment (we will recover it at the end). Then:

Year 1–5 operating cash flow = +$125,000 each year

Step C: Compute terminal value cash flow (Year 5)

Terminal value typically includes (1) after-tax salvage value and (2) working capital recovery.

1) After-tax salvage value

We need to account for taxes on the gain/loss relative to book value at sale.

  • Depreciable basis: $550,000
  • Annual depreciation: $110,000
  • Book value at end of year 5: $550,000 − (5 × $110,000) = $0
  • Sale price (salvage): $80,000
  • Tax on gain: 25% × $80,000 = $20,000
  • After-tax salvage cash flow = $80,000 − $20,000 = $60,000

2) Working capital recovery

The $40,000 invested in working capital is assumed to be released at the end of the project:

Working capital recovery in year 5 = +$40,000

Total year 5 cash flow

Year 5 includes the regular operating cash flow plus terminal components:

  • Operating cash flow: +$125,000
  • After-tax salvage: +$60,000
  • Working capital recovery: +$40,000

Total Year 5 cash flow = $225,000

Step D: Lay out the full project cash flow timeline

YearCash flow componentsNet cash flow
0Equipment + installation + working capital-$590,000
1Operating cash flow+$125,000
2Operating cash flow+$125,000
3Operating cash flow+$125,000
4Operating cash flow+$125,000
5Operating cash flow + after-tax salvage + WC recovery+$225,000

Step E: Discount cash flows and calculate NPV

Discount each year’s cash flow at 10% and sum them.

YearCash flowDiscount factor (10%)Present value
0-$590,0001.0000-$590,000
1$125,0000.9091$113,636
2$125,0000.8264$103,306
3$125,0000.7513$93,915
4$125,0000.6830$85,377
5$225,0000.6209$139,698

Sum of PVs of inflows = $113,636 + $103,306 + $93,915 + $85,377 + $139,698 = $535,932

NPV = -$590,000 + $535,932 = -$54,068

Based on NPV, this project would be rejected as currently forecast because it is expected to reduce value by about $54k at a 10% discount rate.

Step F: Compute the other metrics (and interpret them)

IRR (conceptual)

IRR is the rate r that solves:

0 = -590,000 + 125,000/(1+r)^1 + 125,000/(1+r)^2 + 125,000/(1+r)^3 + 125,000/(1+r)^4 + 225,000/(1+r)^5

Because NPV is negative at 10%, the IRR will be below 10%. IRR is useful here as a communication tool (“the project’s return is under our hurdle”), but NPV remains the primary decision metric.

Payback period

Using undiscounted cash flows:

  • Cumulative after Year 1: -590,000 + 125,000 = -465,000
  • After Year 2: -340,000
  • After Year 3: -215,000
  • After Year 4: -90,000
  • After Year 5: +135,000

Payback occurs during Year 5. Approximate payback:

Payback ≈ 4 + (90,000 / 225,000) = 4.40 years

This may look acceptable if management has a 5-year cutoff, yet the project still has negative NPV—an example of how payback can approve value-destroying projects.

Profitability Index (PI)

PI = PV(future inflows) / Initial outlay = 535,932 / 590,000 = 0.91

Because PI < 1.0, it signals value destruction, consistent with negative NPV.

How to use the metrics together in real decisions

  • Use NPV as the final decision rule for value creation, especially for mutually exclusive projects.
  • Use IRR to communicate performance and compare to hurdle rates, but verify with NPV when projects differ in size or timing, or when cash flows are non-conventional.
  • Use payback as a risk/liquidity screen, not as a value metric. Consider discounted payback if you want timing recognition.
  • Use PI for ranking under a fixed budget (capital rationing), then confirm the chosen bundle maximizes total NPV.

Common pitfalls in capital budgeting (and how to avoid them)

Sunk costs

Pitfall: Including costs already incurred (e.g., last year’s market research, a prototype already built) as part of the project cash flows.

Fix: Exclude sunk costs. Only include future incremental cash flows that change because of the decision.

Working capital mistakes

Pitfall: Ignoring working capital entirely or treating it as an expense rather than a timing cash flow.

Fix: Model working capital as:

  • Increase in working capital = cash outflow (often at project start and during growth).
  • Decrease/recovery = cash inflow (often at project end).

Inflation and consistency

Pitfall: Mixing nominal and real assumptions—e.g., forecasting revenues with inflation but discounting with a rate that implicitly assumes no inflation (or vice versa).

Fix: Be consistent:

  • If cash flows are in nominal dollars (include expected inflation), use a nominal discount rate.
  • If cash flows are in real dollars (exclude inflation), use a real discount rate.

Overlooking opportunity costs and cannibalization

Pitfall: Counting new project revenue without subtracting sales lost from existing products, or ignoring the value of using scarce resources (floor space, machine time, key staff).

Fix: Include:

  • Cannibalization as a negative incremental cash flow.
  • Opportunity costs as the cash flow you give up by using an asset/resource for this project.

Confusing accounting profit with cash flow

Pitfall: Using net income or EBIT directly as “cash flow,” or forgetting the tax impact of depreciation and asset sales.

Fix: Build after-tax cash flows explicitly, including depreciation tax shields and after-tax salvage value.

Double-counting financing effects

Pitfall: Subtracting interest expense in project cash flows while also discounting at a rate that already reflects financing (e.g., a weighted average cost of capital).

Fix: Keep project cash flows unlevered (before financing) and discount at the appropriate project discount rate. Financing choices are evaluated separately unless you are doing a specific leveraged analysis.

Single-point forecasts with no sensitivity checks

Pitfall: Treating one forecast as “the answer,” especially when value hinges on a few assumptions (price, volume, uptime, cost savings).

Fix: Identify key drivers and run sensitivities (e.g., what happens to NPV if volume is 10% lower, or costs are 15% higher). If the sign of NPV flips easily, the recommendation should reflect that risk.

Now answer the exercise about the content:

A project has a payback period under management’s cutoff, but its NPV is negative at the appropriate discount rate. What is the best interpretation of these results?

You are right! Congratulations, now go to the next page

You missed! Try again.

Payback measures how quickly cash is recovered and can ignore time value and cash flows after payback. A negative NPV indicates the project reduces value at the risk-adjusted discount rate, so NPV should drive the accept/reject decision.

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Corporate Finance Fundamentals: Financial Leverage, Capital Structure, and Solvency

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