4.4 Investment Appraisal

Meaning of Investment Appraisal

• Investment appraisal refers to the process of evaluating whether a capital investment project (e.g., buying machinery, expanding production, opening a new branch) is worthwhile.
• It involves comparing the expected future costs and benefits of the project to decide if it should be accepted or rejected.
• Focus is on cash inflows and outflows, not accounting profits.
• It accounts for:
  • Initial investment (cash outflow at the start)
  • Operating cash inflows (net revenue from using the asset)
  • Possible operating costs (cash outflows)
  • Project lifetime
  • Discounting future cash flows (time value of money)

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Importance of Investment Appraisal

• Helps businesses allocate capital efficiently.
• Reduces the risk of financial losses.
• Provides a framework for comparing multiple projects.
• Links short-term decisions with long-term strategy.
• Considers both financial and non-financial factors.

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Cash Flows vs Accounting Profits

• Cash flow: Actual inflows and outflows of money.
• Accounting profit: Includes non-cash items (e.g., depreciation).
• Investment appraisal focuses on cash, not profit, since investment decisions depend on available funds.

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Capital Investment Appraisal Techniques

1. Payback Period

• Measures how long it takes to recover the initial investment from net cash inflows.
• Formula:
  Payback Period = Initial Investment / Annual Net Cash Inflow (if inflows are even)
• If inflows are uneven, cumulative cash flows are calculated year by year until payback is reached.
• Decision Rule: The shorter the payback, the better.

Advantages:

• Simple to calculate.
• Useful for liquidity-focused firms.
• Good for risky environments where future cash flows are uncertain.

Disadvantages:

• Ignores cash flows after payback.
• Ignores time value of money.
• Focuses only on speed of return, not overall profitability.

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2. Accounting Rate of Return (ARR)

• Measures the profitability of a project using accounting profit rather than cash flow.
• Formula:
  ARR = (Average Annual Profit / Average Investment) × 100

Where:

• Average Investment = (Initial Investment + Residual Value) / 2

Decision Rule: Higher ARR = better project. Compare ARR with target return.

Advantages:

• Easy to understand.
• Uses accounting profits (already familiar to managers).
• Allows direct comparison with target or required return.

Disadvantages:

• Ignores time value of money.
• Based on accounting profits, not cash flows.
• Can be manipulated by accounting policies.

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3. Net Present Value (NPV)

• Considers the time value of money by discounting future cash inflows to their present value.
• Formula:
  NPV = Σ (NCFₜ / (1 + r)ᵗ) − Initial Investment

Where:

• NCFₜ = Net Cash Flow in year t
• r = Discount Rate
• t = Year (1, 2, 3, …, n)

Decision Rule:

• If NPV > 0 → Accept project (profitable).
• If NPV < 0 → Reject project.
• If NPV = 0 → Project just breaks even.

Advantages:

• Considers time value of money.
• Considers all cash flows over project life.
• Directly measures increase in firm value.

Disadvantages:

• Requires estimation of discount rate (subjective).
• More complex than payback or ARR.

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4. Internal Rate of Return (IRR)

• The discount rate at which NPV = 0.
• Formula concept: Solve for r in → Σ (NCFₜ / (1 + r)ᵗ) = Initial Investment.
• Decision Rule: If IRR > Cost of Capital, accept the project.

Advantages:

• Considers time value of money.
• Provides a % return which is easy to compare with cost of capital.

Disadvantages:

• Complex to calculate (trial-and-error or software needed).
• Can give multiple IRRs if cash flows change signs.
• Not always reliable for mutually exclusive projects.

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Example Calculations

Example 1: Payback

• Initial Investment = $100,000
• Cash inflows: Year 1 = $30,000, Year 2 = $40,000, Year 3 = $50,000
• Cumulative inflows after 2 years = $70,000
• Remaining to recover = $30,000
• Fraction of Year 3 = 30,000 / 50,000 = 0.6 years
• Payback = 2.6 years

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Example 2: ARR

• Average Annual Profit = $20,000
• Initial Investment = $100,000
• ARR = (20,000 / 100,000) × 100 = 20%

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Example 3: NPV

• Initial Investment = $50,000
• Cash inflows: Year 1 = $20,000, Year 2 = $25,000, Year 3 = $30,000
• Discount Rate = 10%

Step 1: Calculate PV of each inflow:

• Year 1 = 20,000 / (1.1)¹ = 18,181.8
• Year 2 = 25,000 / (1.1)² = 20,661.2
• Year 3 = 30,000 / (1.1)³ = 22,539.6

Step 2: Total PV = 61,382.6

Step 3: NPV = 61,382.6 − 50,000 = 11,382.6 → Accept project

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Example 4: IRR

• Initial Investment = $40,000
• Cash inflows = $15,000 annually for 4 years
• Trial 1: At 10% → NPV positive
• Trial 2: At 20% → NPV negative
• IRR lies between 10% and 20% (closer to 15%).

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Non-Financial Considerations

• Impact on employees (job security, workload).
• Environmental and social impact.
• Effect on brand image and reputation.
• Government regulations and legal factors.
• Strategic fit with long-term business goals.

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Comparative Summary of Methods

Method	Considers Time Value?	Uses Cash or Profit?	Focus	Simplicity
Payback	No	Cash	Liquidity	Very Easy
ARR	No	Profit	Profitability	Easy
NPV	Yes	Cash	Value creation	Complex
IRR	Yes	Cash	% Return	Complex