flowchart LR I[1. Identify<br/>Opportunities] --> CF[2. Estimate<br/>Cash Flows] CF --> A[3. Apply<br/>Criteria] A --> D[4. Decide] D --> IM[5. Implement] IM --> P[6. Post-Audit] P -. learn .-> I style I fill:#E3F2FD,stroke:#1565C0 style D fill:#FFF8E1,stroke:#F9A825 style P fill:#E8F5E9,stroke:#2E7D32
46 Capital Budgeting and Investment Evaluation
46.1 What is Capital Budgeting?
Capital budgeting is the process of planning and evaluating long-term investment proposals — projects that involve large outlays, span multiple years, and have outcomes that are uncertain. The decisions are typically irreversible once made — a chemical plant cannot be “un-built”. Capital budgeting is the investment arm of the three financial decisions (khanjain2020?; pandey2021?).
Joel Dean’s foundational treatment defines it as “the process of long-term planning for making and financing long-term investments” (dean1951?). I.M. Pandey’s compact form: “the firm’s decision to invest its current funds most efficiently in long-term assets in anticipation of an expected flow of benefits over a series of years” (pandey2021?).
TipThree Working Definitions
| Author | Definition | What it foregrounds |
|---|---|---|
| Charles Horngren | “Capital budgeting is the long-term planning for making and financing investments.” | Long-term planning |
| Joel Dean | “The process of long-term planning for making and financing long-term investments.” | Process |
| I.M. Pandey | “Decision to invest current funds in long-term assets in anticipation of future benefits.” | Forward-looking |
46.1.1 Features
TipSix Features of Capital-Budgeting Decisions
| Feature | What it implies |
|---|---|
| Large outlays | Significant capital commitment |
| Long horizon | Pay-back over many years |
| Irreversibility | Hard to reverse without large losses |
| High risk | Outcomes uncertain |
| Long-term effect on firm | Shapes future cost structure and competitive position |
| Affects multiple functions | Operations, marketing, finance, HR |
46.2 The Capital-Budgeting Process
TipSix-Step Capital-Budgeting Process
| # | Step | What happens |
|---|---|---|
| 1 | Identify investment opportunities | Generate ideas — competitive, replacement, expansion, regulatory |
| 2 | Estimate cash flows | Outflows (initial investment, working capital) and inflows (operating, terminal) |
| 3 | Apply selection criteria | NPV, IRR, payback, profitability index, etc. |
| 4 | Choose the project (or portfolio) | Apply decision rule, allow for risk |
| 5 | Implement | Acquire assets, set up operations |
| 6 | Performance review | Post-audit; learn for next cycle |
46.2.1 Types of investment proposals
TipCommon Categories of Capital-Budgeting Proposals
| Category | Examples |
|---|---|
| Expansion | New plant, new product line, new geography |
| Replacement | Old equipment with new |
| Modernisation | Upgrade existing plant |
| Diversification | Move into new business |
| Mandatory / Regulatory | Pollution control, safety mandates |
| Strategic | R&D, brand, patents |
46.3 Cash-Flow Estimation
Capital-budgeting decisions are made on incremental, after-tax cash flows — not accounting profits. Three types of cash flows for any project:
TipThree Components of Project Cash Flows
| Component | What it includes |
|---|---|
| Initial investment | Cost of asset + installation + working-capital build-up − sale value of replaced asset (net of tax) |
| Operating cash flows | Annual after-tax incremental cash flows = (Revenue − Costs)(1 − t) + Depreciation × t |
| Terminal cash flow | Salvage value (after tax) + recovery of working capital |
Three cash-flow rules to remember:
- Sunk costs are ignored — past spending is irrelevant to a forward-looking decision.
- Opportunity costs are included — the next-best alternative foregone.
- Externalities (cannibalisation of existing products, halo on others) are included.
46.4 Discounted-Cash-Flow Methods
Modern capital budgeting is built on time value of money. Two flagship DCF methods:
46.4.1 Net Present Value (NPV)
\[\text{NPV} = \sum_{t=0}^{n} \frac{CF_t}{(1+k)^t}\]
The decision rule:
- NPV > 0 → Accept (the project adds value).
- NPV < 0 → Reject.
- NPV = 0 → Indifferent.
NPV is the theoretically correct method — it (i) uses cash flows, (ii) accounts for time value, (iii) accounts for risk via the discount rate, and (iv) is additive across projects.
46.4.2 Internal Rate of Return (IRR)
The IRR is the discount rate at which NPV = 0:
\[0 = \sum_{t=0}^{n} \frac{CF_t}{(1+IRR)^t}\]
Decision rule: accept if IRR > Cost of Capital (k), reject otherwise.
TipNPV vs IRR
| Feature | NPV | IRR |
|---|---|---|
| Output | Rupee value | Percentage |
| Reinvestment assumption | At cost of capital (realistic) | At IRR (often unrealistic) |
| Multiple roots | Single answer | Possibly multiple IRRs (non-conventional CFs) |
| Mutually exclusive projects | Reliable ranking | Can mislead because of scale |
| Theoretical correctness | Always correct | Can mislead |
When NPV and IRR conflict for mutually exclusive projects, NPV is preferred.
46.4.3 Profitability Index (PI)
\[\text{PI} = \frac{\text{PV of Future Cash Inflows}}{\text{Initial Investment}}\]
Decision rule: accept if PI > 1. PI is the benefit-cost ratio in DCF form — useful for capital rationing.
46.4.4 Discounted Payback
The number of years until discounted cumulative cash inflows recover the initial investment. Better than simple payback because it respects the time value of money — but still ignores cash flows beyond the cut-off.
46.5 Non-Discounting Methods
TipNon-DCF Methods
| Method | Formula | Strength | Weakness |
|---|---|---|---|
| Payback Period | Initial Investment ÷ Annual Cash Flow (constant case) | Simple; liquidity focus | Ignores TVM and post-payback cash flows |
| Accounting Rate of Return (ARR) | Average Profit ÷ Average / Initial Investment | Uses accounting numbers | Ignores TVM and cash flow |
Payback is widely used in practice as a risk filter alongside NPV/IRR.
46.6 Capital Rationing
When the firm has more value-creating projects than capital to fund them, it must choose. Two approaches:
TipTwo Approaches to Capital Rationing
| Approach | What it does |
|---|---|
| Hard rationing | External capital constraint (debt covenants, market conditions) |
| Soft rationing | Internal limit set by management |
| Single-period | Maximise NPV given the period’s budget |
| Multi-period | Linear / integer programming for inter-temporal allocation |
A common decision rule under capital rationing: rank by Profitability Index and accept top-ranked projects until the budget is exhausted.
46.7 Risk in Capital Budgeting
Three families of techniques recognise that future cash flows are uncertain:
TipTechniques for Risk in Capital Budgeting
| Technique | What it does |
|---|---|
| Risk-adjusted discount rate (RADR) | Add risk premium to the discount rate |
| Certainty-equivalent (CE) | Convert risky cash flows into their certainty equivalents |
| Sensitivity analysis | “What if” — vary one input, observe NPV |
| Scenario analysis | Pessimistic, realistic, optimistic scenarios |
| Decision tree | Sequential decisions and probabilities |
| Monte Carlo simulation | Probability distribution of NPV |
| Real options | Value of managerial flexibility (defer, expand, abandon) |
Real-options thinking is increasingly important: a bad NPV today may still be worth holding the option to invest later if uncertainty resolves favourably (Brealey-Myers ch. 22) (brealeymyers2020?).
46.8 Practice Questions
Q 01
NPV Rule
Easy
A project should be accepted under the NPV rule when:
View solution
Correct Option: A
A positive NPV means the project earns more than the cost of capital — value is created. NPV = 0 → indifferent; NPV < 0 → reject.
Q 02
IRR
Medium
The Internal Rate of Return (IRR) is best described as:
View solution
Correct Option: A
IRR is the rate at which the present value of inflows equals the initial outlay — i.e., NPV = 0.
Q 03
PI
Medium
The Profitability Index of a project is calculated as 1.25. The project should be:
View solution
Correct Option: B
PI > 1 means the present value of inflows exceeds the initial investment — accept.
Q 04
Cash Flow Rules
Medium
In capital budgeting, sunk costs are:
View solution
Correct Option: B
Sunk costs are ignored in incremental cash-flow analysis. Opportunity costs and externalities are included.
Q 05
NPV vs IRR
Medium
For mutually exclusive projects with conflicting NPV and IRR rankings, the preferred criterion is:
View solution
Correct Option: B
NPV directly measures rupee value addition and is additive. Conflicts with IRR usually arise from scale or timing differences.
Q 06
Payback
Medium
A project requires an investment of ₹10 lakh and generates ₹2.5 lakh per year. Its payback period is:
View solution
Correct Option: B
Payback = Investment ÷ Annual Cash Flow = 10,00,000 ÷ 2,50,000 = 4 years.
Q 07
Capital Rationing
Medium
Under capital rationing, which ranking criterion is most often used to choose among independent projects?
View solution
Correct Option: B
PI = PV of Future Cash Inflows ÷ Initial Investment. Rank by PI (highest first); accept until budget exhausted.
Q 08
Risk Techniques
Medium
Adding a premium to the discount rate to reflect a project's risk is the:
View solution
Correct Option: B
RADR: Discount rate = risk-free + risk premium reflecting project risk. The certainty-equivalent approach adjusts the cash flows instead.
ImportantQuick recall
- Capital budgeting = long-term investment decisions. Standard texts: Khan-Jain, Pandey, Brealey-Myers.
- Six features: large, long-term, irreversible, risky, strategic, multi-functional.
- Six-step process: Identify → Estimate cash flows → Apply criterion → Decide → Implement → Post-audit.
- Cash flows: incremental, after-tax. Three components: initial · operating · terminal. Rules: ignore sunk costs; include opportunity costs and externalities.
- DCF methods: NPV (theoretically correct), IRR, Profitability Index (PI), Discounted Payback.
- Decision rules: NPV > 0; IRR > k; PI > 1.
- Non-DCF methods: Payback, ARR. Useful as risk filters but ignore TVM.
- Conflicts: when NPV and IRR conflict for mutually exclusive projects, choose NPV.
- Capital rationing: rank by PI.
- Risk techniques: RADR, certainty-equivalent, sensitivity, scenario, decision tree, Monte Carlo, real options.