flowchart LR ID[1. Identify<br/>investment<br/>opportunities] --> SC[2. Screening<br/>and proposal<br/>development] SC --> EV[3. Evaluation:<br/>cash flows, risk,<br/>technique] EV --> SE[4. Selection<br/>and approval] SE --> IM[5. Implementation<br/>and execution] IM --> RE[6. Post-audit<br/>review and<br/>feedback] RE -.-> ID style ID fill:#FFEBEE,stroke:#C62828 style RE fill:#E8F5E9,stroke:#2E7D32
30 Capital Budgeting Decisions
30.1 Meaning of Capital Budgeting
Capital budgeting (also called long-term investment decision-making or capital expenditure analysis) is the process of evaluating and selecting long-term investment proposals that will affect the firm’s earnings for several years. The investment may be in a new plant, an acquisition, a major IT system, a research programme — any commitment of funds whose payoff stretches over multiple periods (pandey2021?; khan2022?; chandra2023?).
Three working features distinguish capital-budgeting decisions:
- Long horizon — typically more than one year.
- Large outlay — usually material in size relative to the firm.
- Irreversibility — once committed, the funds are hard to recover.
These features make capital budgeting one of the most consequential financial decisions a firm takes.
30.2 Capital-Budgeting Process
30.3 Types of Investment Decisions
TipTypes of Capital-Budgeting Decisions
| Basis | Categories |
|---|---|
| Purpose | Replacement, Expansion, Diversification, Modernisation, R&D, Statutory / Strategic |
| Choice structure | Independent, Mutually exclusive, Contingent / dependent |
| Cash-flow shape | Conventional (one outflow followed by inflows) vs Unconventional (sign reverses more than once) |
| Capital availability | Without rationing vs With capital rationing |
30.4 Estimation of Cash Flows
The single most-tested technical step is the correct identification of the project’s cash flows. Three principles govern the estimation (pandey2021?):
- Use after-tax cash flows, not accounting profits.
- Use incremental cash flows — the difference with the project minus the cash flows without.
- Ignore sunk costs (already incurred, irrecoverable) and financing flows (interest is reflected in the discount rate, not in cash flows).
30.4.1 Three components of project cash flow
TipThree Components of Project Cash Flow
| Component | Content |
|---|---|
| Initial investment | Cost of asset + installation + working-capital investment − tax saved on sale of old asset |
| Operating cash flows | After-tax cash profit + Depreciation each year. Formula: (Revenue − Operating Cost − Depreciation) (1 − t) + Depreciation |
| Terminal cash flow | Salvage value (post-tax) + Recovery of working capital |
The depreciation tax shield — depreciation reduces taxable income and therefore taxes — is a critical cash-flow element. It does not itself involve cash, but the tax saved is real cash.
30.5 Evaluation Techniques
TipSix Capital-Budgeting Techniques
| Family | Technique | Recognises Time Value? |
|---|---|---|
| Traditional / Non-discounted | Payback Period (PBP) | No |
| Accounting Rate of Return (ARR) | No | |
| Discounted Cash Flow (DCF) | Net Present Value (NPV) | Yes |
| Internal Rate of Return (IRR) | Yes | |
| Profitability Index (PI) | Yes | |
| Discounted Payback Period (DPP) | Yes |
30.5.1 Payback Period
The payback period is the time required for the cumulative cash inflows to equal the initial investment.
\[ \text{PBP} = \dfrac{\text{Initial Investment}}{\text{Annual Cash Inflow}} \quad \text{(for uniform inflows)} \]
Decision rule: accept if PBP ≤ standard (target) payback. Strengths: simple, intuitive, emphasises liquidity. Weaknesses: ignores time value of money; ignores cash flows after the payback period.
30.5.2 Accounting Rate of Return (ARR)
\[ \text{ARR} = \dfrac{\text{Average Annual Profit after Tax}}{\text{Average Investment}} \times 100 \]
where Average Investment = (Initial Investment + Salvage Value) / 2.
Decision rule: accept if ARR ≥ required rate of return. Strengths: simple, uses accounting data. Weaknesses: ignores time value; based on accounting profit rather than cash flow.
30.5.3 Net Present Value (NPV)
\[ \text{NPV} = -C_0 + \sum_{t=1}^{n} \dfrac{C_t}{(1 + r)^t} \]
where \(C_0\) is initial outflow, \(C_t\) are subsequent cash flows, and \(r\) is the discount rate (typically WACC).
Decision rule: accept if NPV > 0. Among mutually exclusive projects, choose the one with the highest NPV. NPV measures the absolute increase in firm value from undertaking the project.
30.5.4 Internal Rate of Return (IRR)
The internal rate of return is the discount rate at which the NPV of a project equals zero:
\[ \sum_{t=0}^{n} \dfrac{C_t}{(1 + IRR)^t} = 0 \]
Decision rule: accept if IRR > cost of capital. Strengths: scale-free; intuitive percentage. Weaknesses: assumes intermediate cash flows are reinvested at IRR (often unrealistic); multiple IRRs possible for unconventional cash flows; can give wrong ranking among mutually exclusive projects.
30.5.5 Modified IRR (MIRR)
The modified IRR assumes that intermediate cash flows are reinvested at the cost of capital — a more realistic assumption — and produces a single, well-defined rate.
\[ \text{MIRR} = \left(\dfrac{\text{Terminal Value of Inflows}}{\text{PV of Outflows}}\right)^{1/n} - 1 \]
30.5.6 Profitability Index (PI)
Also called the Benefit-Cost Ratio:
\[ \text{PI} = \dfrac{\text{PV of Cash Inflows}}{\text{Initial Investment}} \]
Decision rule: accept if PI ≥ 1. PI is useful in capital rationing — ranking projects by value created per rupee invested.
30.5.7 Discounted Payback Period
The discounted payback period is the time taken for the discounted cumulative cash inflows to equal the initial investment. Improves on simple payback by recognising time value but still ignores post-payback flows.
30.6 NPV vs IRR — The Conflict
For independent projects (acceptance does not depend on others), NPV and IRR generally give the same accept/reject answer. For mutually exclusive projects (accept one, reject the rest), the two methods can disagree.
TipSources of NPV-IRR Conflict
| Cause | Mechanism |
|---|---|
| Scale (size) difference | A small project with high IRR vs a large project with high NPV |
| Timing difference | Different patterns of cash flow over time |
| Reinvestment-rate assumption | IRR assumes reinvestment at IRR; NPV assumes reinvestment at the cost of capital |
When the two methods conflict, NPV is preferred — it directly measures the increase in firm value, with a sound reinvestment-rate assumption.
30.7 Worked Numerical
A project requires ₹10,00,000 investment and generates the following cash inflows. Cost of capital is 10 per cent.
TipProject Cash Flows and PV at 10 %
| Year | Cash Inflow (₹) | PVIF @ 10% | PV (₹) |
|---|---|---|---|
| 1 | 3,00,000 | 0.909 | 2,72,727 |
| 2 | 4,00,000 | 0.826 | 3,30,579 |
| 3 | 4,00,000 | 0.751 | 3,00,526 |
| 4 | 3,00,000 | 0.683 | 2,04,904 |
| Total PV | 11,08,736 |
- NPV = 11,08,736 − 10,00,000 = ₹1,08,736 (positive → accept).
- PI = 11,08,736 / 10,00,000 = 1.109 (> 1 → accept).
- Payback period: cumulative inflows reach ₹10,00,000 at the end of year 3 (3 + 0/4,00,000 since cumulative through Y3 = 11,00,000). PBP ≈ 2.75 years (Y2 cumulative ₹7,00,000; need ₹3,00,000 more from ₹4,00,000 in Y3 → 0.75 of Y3).
- IRR: lies somewhere between 13 % and 15 % (where NPV = 0); standard interpolation between two trial rates gives IRR ≈ 14 %.
30.8 Capital Rationing
When the firm faces a limit on the capital it can deploy in a period — whether hard (external constraint) or soft (self-imposed) — capital rationing requires a method that maximises NPV per rupee of constraint. The standard approach is to rank divisible projects by PI and accept in descending order until the budget is exhausted.
For indivisible projects, the firm uses integer programming or examines combinations to find the package with the highest combined NPV within the budget.
30.9 Risk in Capital Budgeting
Capital-budgeting forecasts are uncertain. Several techniques formally bring risk into the decision.
TipRisk-Analysis Techniques in Capital Budgeting
| Technique | Working content |
|---|---|
| Risk-Adjusted Discount Rate (RADR) | Add a risk premium to the cost of capital for risky projects |
| Certainty Equivalent | Convert risky cash flows to certain equivalents using a certainty-equivalent coefficient (0 to 1); discount at the risk-free rate |
| Sensitivity analysis | Vary one input at a time; observe NPV response |
| Scenario analysis | Best, base, worst-case combinations of inputs |
| Probability / Expected NPV | Probability-weighted NPV; standard deviation; coefficient of variation |
| Decision tree | Map sequential decisions and their probabilistic outcomes |
| Simulation (Monte Carlo) | Computer-generated probability distribution of NPV |
| Real options | Recognise managerial flexibility — option to expand, abandon, defer, switch |
The RADR and Certainty Equivalent approaches are parallel — they put the risk adjustment at different points (rate vs cash flow) but reach a similar destination. The certainty equivalent approach is theoretically purer but harder to implement in practice; RADR dominates real-world use.
30.10 Real Options — A Brief Note
Traditional NPV treats a project as a now-or-never decision. Real options analysis (Stewart Myers, 1977) recognises that managers have flexibility — they can defer a project, expand it if successful, abandon it if unsuccessful, switch technology. These embedded options have positive value, especially under uncertainty, and ignoring them undervalues the project.
30.11 Exam-Pattern MCQs
Q 01
Which of the following is not a feature of a capital-budgeting decision?
View solution
Correct Option: C
Capital-budgeting decisions are typically irreversible once committed; their effects last for years.
Q 02
Match each technique with the family it belongs to:
| Technique | Family | ||
| (i) | Payback Period | (a) | DCF, scale-free percentage |
| (ii) | NPV | (b) | Non-discounted; liquidity emphasis |
| (iii) | IRR | (c) | DCF, absolute rupee value added |
| (iv) | Profitability Index | (d) | DCF, ratio of PV of inflows to initial investment |
View solution
Correct Option: A
Q 03
A project costs ₹4,00,000 and generates uniform after-tax cash inflows of ₹1,00,000 per year for 6 years. The Payback Period is:
View solution
Correct Option: B
PBP = 4,00,000 / 1,00,000 = 4 years.
Q 04
Match each NPV-IRR conflict source with its description:
| Source | Description | ||
| (i) | Scale difference | (a) | Different patterns of cash flow timing |
| (ii) | Timing difference | (b) | NPV uses cost of capital; IRR uses IRR for reinvestment |
| (iii) | Reinvestment rate assumption | (c) | A small high-IRR project vs a large high-NPV project |
View solution
Correct Option: A
Q 05
When NPV and IRR give conflicting accept/reject decisions for two mutually exclusive projects, the project with the:
View solution
Correct Option: A
NPV measures the absolute increase in firm value and uses the more realistic cost-of-capital reinvestment assumption.
Q 06
A project's PV of inflows is ₹4,40,000 and the initial investment is ₹4,00,000. The Profitability Index is:
View solution
Correct Option: C
PI = 4,40,000 / 4,00,000 = 1.10.
Q 07
Arrange the following capital-budgeting steps in correct sequence: (i) Selection and approval (ii) Identification of investment opportunities (iii) Post-audit review and feedback (iv) Evaluation — cash flows, risk, technique
View solution
Correct Option: A
Identify → Evaluate → Select → Post-audit.
Q 08
Match each risk-analysis technique with its core idea:
| Technique | Core idea | ||
| (i) | Risk-Adjusted Discount Rate | (a) | Convert risky cash flow to certain equivalent; discount at risk-free rate |
| (ii) | Certainty Equivalent | (b) | Probability-distribution simulation of NPV |
| (iii) | Sensitivity analysis | (c) | Add a risk premium to the discount rate |
| (iv) | Monte Carlo simulation | (d) | Vary one input at a time; observe NPV response |
View solution
Correct Option: A
ImportantQuick recall
- Capital budgeting = long-term, large, irreversible investment decision.
- Steps: Identify → Evaluate → Select → Implement → Post-audit.
- Cash-flow rules: after-tax, incremental; ignore sunk costs and financing flows.
- Three CF components: Initial investment, Operating cash flows, Terminal cash flow. Operating CF formula: (Rev − Op cost − Dep)(1 − t) + Dep.
- Six techniques: PBP, ARR (non-discounted); NPV, IRR, PI, DPP (DCF).
- Decision rules: NPV > 0; IRR > k; PI ≥ 1; PBP ≤ standard.
- NPV-IRR conflict sources: scale, timing, reinvestment-rate assumption. Prefer NPV among mutually exclusive projects.
- Capital rationing: rank by PI for divisible projects.
- Risk techniques: RADR, Certainty Equivalent, Sensitivity, Scenario, Probability, Decision Tree, Monte Carlo, Real Options.
- Real options (Myers 1977): defer, expand, abandon, switch — capture managerial flexibility.