Unit 5: Investment Decisions

I. Orientation — The Capital Investment Framework

Capital budgeting is the process through which a firm evaluates and selects long-term investments, such as acquiring machinery, launching products, expanding facilities, or replacing assets. Because these decisions commit substantial funds for several years, they are assessed primarily by their expected incremental cash flows, timing, risk, and contribution to shareholder wealth.

• Defining properties:
  • Long-term commitment: Benefits and costs generally extend beyond one accounting period; a machine costing ₹1,000,000 may generate cash inflows for five years.
  • Incremental analysis: Only cash flows caused by accepting the project are relevant.
  • Cash-flow focus: Investment appraisal generally uses cash flows rather than accounting profit because cash determines the firm’s capacity to invest and meet obligations.
  • Time value of money: ₹1 received today is worth more than ₹1 received later because present funds can earn a return.
  • Risk-return relationship: Projects with uncertain cash flows normally require higher expected returns.
  • Irreversibility: Capital investments are often difficult or costly to reverse after funds have been committed.
• Core assumptions:
  • Mutually exclusive versus independent projects: Independent projects may be accepted together, whereas choosing one mutually exclusive project prevents selection of another.
  • Conventional cash-flow pattern: Many projects have an initial cash outflow followed by future inflows.
  • Required return: Discounted techniques compare project returns with the firm’s cost of capital or project-specific hurdle rate.

II. Capital Budgeting Decisions — Choosing Long-Term Investments

A. Capital Budgeting Decisions

Capital budgeting decisions determine whether long-lived investment proposals should be accepted, rejected, postponed, replaced, or ranked against alternatives.

• Typical decisions:
  • Expansion: Increasing productive capacity, such as constructing a second factory.
  • Replacement: Substituting a more efficient asset for existing equipment.
  • Modernisation: Introducing technology that reduces operating costs or improves quality.
  • New products or markets: Funding a product line whose sales and costs are forecast over several years.
  • Mandatory investment: Meeting safety, environmental, or legal requirements even when direct revenue is limited.
• Decision process:
  • Proposal generation: Operating units identify projects consistent with corporate strategy.
  • Cash-flow estimation: Analysts forecast initial investment, annual operating cash flows, working-capital changes, and terminal cash flow.
  • Evaluation: Projects are assessed using methods such as payback, Accounting Rate of Return, Net Present Value, or Profitability Index.
  • Selection and authorisation: Management chooses projects subject to financial and strategic constraints.
  • Implementation and control: Approved expenditure is monitored against budget.
  • Post-audit: Actual cash flows are compared with forecasts to improve accountability and future estimates.
• Relevant cash flows:
  • Initial outlay: Asset price, installation, transport, training, and initial working capital, less proceeds from replaced assets.
  • Operating flows: Incremental after-tax cash inflows and outflows during the project.
  • Terminal flow: Salvage value, disposal taxes, and recovery of working capital at project completion.
• Excluded items:
  • Sunk costs: Past expenditure cannot be changed by the current decision.
  • Financing costs: Interest is usually reflected in the discount rate rather than deducted from project cash flows.
  • Non-incremental allocations: Existing overhead is irrelevant unless the project changes the firm’s total overhead cost.

III. Rationale of Capital Budgeting — Why Formal Appraisal Is Necessary

A. Rationale of Capital Budgeting

The rationale of capital budgeting is to allocate scarce funds to investments that support strategy and increase the firm’s economic value while controlling long-term risk.

• Magnitude of funds: A factory or infrastructure project may absorb a large proportion of the firm’s financing capacity, making a poor choice financially damaging.
• Long-term consequences: Today’s asset choice affects capacity, operating costs, and revenues for many years; outdated equipment can create a persistent competitive disadvantage.
• Scarcity of capital: When the investment budget is limited to ₹10 million, management must rank otherwise acceptable projects and choose the best combination.
• Uncertainty: Demand, selling prices, input costs, useful life, tax rules, and salvage value may differ from forecasts.
• Strategic alignment: A financially attractive project may be rejected if it conflicts with the firm’s technology, market position, or risk appetite.
• Shareholder-wealth objective: A value-creating project generates benefits whose present value exceeds the resources committed to it.
• Coordination and control: Formal budgets connect investment proposals with financing, production, staffing, and sales plans.
• Performance discipline: Written assumptions and post-completion audits discourage exaggerated forecasts and reveal recurring estimation errors.
• Social and regulatory effects: Environmental protection, worker safety, and compliance investments may preserve the firm’s licence to operate even without easily measured revenue.
• Central principle: The preferred financial rule is to accept projects expected to add value, while also considering liquidity, capital constraints, and non-financial consequences.

IV. Non-Discounting Capital Budgeting Techniques — Simple Screening Methods

A. Non-Discounting Capital Budgeting Techniques

Non-discounting capital budgeting techniques evaluate investments without converting cash flows from different dates into equivalent present values.

• Principal methods:
  1. Payback period: Measures how quickly the initial cash investment is recovered from project cash inflows.
  2. Accounting Rate of Return: Measures average accounting profit relative to a stated accounting investment base.
• Shared characteristic: A rupee received in year 1 and a rupee received in year 4 are not formally distinguished by present value.
• Advantages:
  • Simplicity: Calculations require relatively little information and are readily understood by non-specialists.
  • Screening value: Management can quickly eliminate proposals with slow recovery or weak reported profitability.
  • Liquidity emphasis: Payback highlights how long funds remain exposed.
  • Accounting compatibility: ARR uses profit and asset values found in budgets and financial statements.
• Limitations:
  • Time value omitted: The methods do not consistently recognise the earning capacity of money over time.
  • Weak wealth-maximisation link: Neither basic payback nor ARR directly measures the value added to shareholders.
  • Potential ranking errors: Projects with different timing, scale, or useful lives may be ranked incorrectly.
• Classification note: Conventional Profitability Index is a discounted technique because its numerator is the present value of future cash inflows; it should not be classified as non-discounting merely because it is a ratio.

V. Payback Period — Speed of Investment Recovery

A. Payback period

The payback period is the time required for cumulative project cash inflows to recover the initial cash outlay.

• Equal annual inflows:

Payback period = I₀ / C

• Symbols:
  • I₀: Initial cash investment.
  • C: Constant annual net cash inflow.
• Unequal annual inflows: Annual cash inflows are accumulated until the unrecovered investment becomes zero; a fractional year may be estimated by assuming cash arrives evenly during that year.
• Decision rule:
  • Independent project: Accept when its payback is no longer than management’s predetermined cutoff.
  • Competing projects: Other things equal, the project with the shorter payback is preferred.
• Worked example: A machine costs ₹500,000 and produces ₹150,000 annually.

Payback period = ₹500,000 / ₹150,000 = 3.33 years

• Interpretation: Recovery takes approximately three years and four months; it passes a four-year cutoff but fails a three-year cutoff.
  • Strengths:
• Liquidity indicator: Faster recovery releases funds sooner.
• Rough risk proxy: Short-payback projects expose invested capital to distant uncertainty for less time.
• Operational convenience: The method is useful for preliminary screening and rapidly changing technologies.
  • Weaknesses:
• Post-payback flows ignored: A project generating substantial inflows after the cutoff may appear inferior.
• Basic form is undiscounted: ₹150,000 in year 1 receives the same weight as ₹150,000 in year 3.
• Arbitrary cutoff: The threshold may not correspond to the cost of capital or value creation.
• No direct profitability measure: Recovery of capital does not establish that an adequate return was earned.
  • Discounted variant: Discounted payback accumulates present values rather than nominal inflows, correcting for timing but still ignoring cash flows after recovery.

VI. Profitability Index — Present Value per Unit Invested

A. Profitability Index

The Profitability Index measures the present value of future project cash inflows generated per unit of initial investment.

• Formula:

PI = PV(CF₁, CF₂, …, CFₙ) / I₀

• Symbols:
  • PI: Profitability Index.
  • PV: Present value calculated at the required rate of return.
  • CFₜ: Net project cash flow in period t.
  • n: Project life in periods.
  • I₀: Initial investment at time zero.
• Present-value component:

PV = Σ[CFₜ / (1 + r)ᵗ], for t = 1 to n

• r: Required rate of return per period.
• t: Period in which the cash flow occurs.
• Σ: Sum across all project periods.
  • Decision rule:
• PI greater than 1: Accept because inflows have a present value exceeding the investment.
• PI equal to 1: The project earns exactly the required return.
• PI below 1: Reject because discounted benefits do not cover the initial investment.
  • Worked example: If discounted future inflows total ₹660,000 and the initial investment is ₹600,000:

PI = ₹660,000 / ₹600,000 = 1.10

• Interpretation: The project provides ₹1.10 of present-value inflows for every ₹1 invested and has a positive Net Present Value of ₹60,000.
  • Applications:
• Capital rationing: PI helps rank divisible projects when investment funds are restricted.
• Relative efficiency: It standardises benefits by investment size.
  • Limitations:
• Scale conflict: A small project may have a higher PI but add less total value than a larger project.
• Mutually exclusive choices: Net Present Value is generally superior because shareholder wealth depends on absolute value added.
• Estimate sensitivity: PI changes with forecast cash flows, project life, and discount rate.

VII. Accounting Rate of Return — Accounting Profitability

A. Accounting Rate of Return

Accounting Rate of Return measures average annual accounting profit as a percentage of an accounting investment base.

• Common formula:

ARR = (Average annual accounting profit / Average investment) × 100

• Symbols:
  • ARR: Accounting Rate of Return, expressed as a percentage.
  • Average annual accounting profit: Total forecast after-depreciation accounting profit divided by project life.
  • Average investment: Average book value of capital committed to the project.
• Average investment under straight-line depreciation:

Average investment = (Initial investment + Residual value) / 2

• Terms:
  • Initial investment: Original depreciable asset cost.
  • Residual value: Expected book or disposal value at the end of useful life.
• Decision rule:
  • Independent project: Accept if ARR equals or exceeds the target accounting return.
  • Competing projects: Prefer the higher ARR when all other relevant factors are equivalent.
• Worked example: An asset costs ₹400,000, has no residual value, and produces average annual accounting profit of ₹50,000.

Average investment = (₹400,000 + ₹0) / 2 = ₹200,000
ARR = (₹50,000 / ₹200,000) × 100 = 25%

• Interpretation: The project satisfies a target ARR below or equal to 25%.
  • Strengths:
• Familiar information: Profit and book value are available from accounting forecasts.
• Reported-performance focus: ARR reflects how an investment may affect accounting ratios used by managers and investors.
• Whole-life profit: Unlike payback, it includes accounting profit across the project’s expected life.
  • Limitations:
• Cash flows not used: Accounting profit includes depreciation and depends on accounting policies.
• Time value ignored: Early and late profits receive equal weight.
• Definition inconsistency: Some organisations divide by initial investment rather than average investment, producing different percentages.
• No direct value measure: A high ARR does not necessarily imply positive Net Present Value.
• Target subjectivity: The required ARR may lack a consistent relationship with the firm’s cost of capital.