Unit3 - Subjective Questions

Capital Budgeting is the process of evaluating and selecting long-term investment decision that are consistent with the goal of shareholder wealth maximization. It involves planning and managing a firm's long-term investments in assets such as land, machinery, or R&D.

Significance of Capital Budgeting:

• Long-term Implications: The effects of capital budgeting decisions extend into the future and have a long-standing impact on the company's growth.
• Substantial Commitment of Funds: These decisions usually involve large sums of money, blocking capital for a long period.
• Irreversible Decisions: Once a decision is taken, it is difficult to reverse it without incurring heavy losses.
• Risk and Uncertainty: Since the benefits are realized in the future, these decisions are fraught with risk and uncertainty regarding cash flows.

The nature of capital budgeting decisions can be characterized by the following features:

1. Exchange of Current Funds for Future Benefits: The firm invests funds today in exchange for benefits expected to accrue over a series of years in the future.
2. Future Funds are tied up: A significant portion of the firm's capital is blocked in fixed assets.
3. High Risk: Due to the long time horizon, the estimation of future benefits is subject to market, economic, and technological risks.
4. Strategic Importance: These decisions determine the future direction, cost structure, and competitive position of the firm.
5. Impact on Profitability: A wise investment can boost profits significantly, while a poor one can lead to bankruptcy.

Independent Decisions:

• These are projects that do not compete with one another.
• The acceptance of one project does not prevent the acceptance of another.
• Decision Rule: If the project meets the minimum criteria (e.g., NPV > 0), it is accepted regardless of other projects.

Mutually Exclusive Decisions:

• These projects compete with each other for selection.
• Acceptance of one project automatically implies the rejection of the others (e.g., choosing between buying Machine A or Machine B to perform the same task).
• Decision Rule: The project that yields the highest benefit (e.g., highest NPV) among the eligible alternatives is selected.

Payback Period (PBP) is the length of time required to recover the initial cost of an investment. It is a traditional, non-discounting technique.

Formula:
If cash inflows are constant:

Advantages:

• Simple to calculate and easy to understand.
• Useful for firms with liquidity problems ensuring quick recovery of cash.
• Favors projects with shorter risks.

Limitations:

• Ignores Time Value of Money: It treats cash received in year 1 the same as cash received in year 5.
• Ignores Cash Flows after Payback: It disregards profitability after the cost is recovered.

Accounting Rate of Return (ARR), also known as the Average Rate of Return, utilizes accounting profit (PAT) rather than cash flows to evaluate an investment.

Calculation Formula:

Where:

Decision Rule:

• Accept if ARR is greater than the minimum required rate of return established by management.
• Reject if ARR is lower than the target rate.

The Time Value of Money (TVM) is the core concept that a sum of money is worth more now than the same sum will be at a future date due to its earnings potential.

Importance in Capital Budgeting:

1. Opportunity Cost: Money invested in a project could have earned interest elsewhere. Discounting future cash flows accounts for this lost opportunity.
2. Inflation: Future purchasing power decreases over time. TVM adjusts for this erosion of value.
3. Risk: Cash flows expected in the distant future are riskier than those in the near term. Discounting adjusts the value of future flows downwards to reflect this risk.
4. True Profitability: Non-discounting techniques (like PBP) often give misleading results by ignoring TVM, whereas discounting techniques (NPV, IRR) provide a realistic picture of wealth creation.

Net Present Value (NPV) is a discounted cash flow technique. It is the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

Formula:

• = Net Cash Inflow during the period
• = Cost of Capital (Discount Rate)
• = Time period
• = Initial Investment

Decision Criteria:

• NPV > 0 (Positive): Accept the project (It adds value to the firm).
• NPV < 0 (Negative): Reject the project (It destroys value).
• NPV = 0: Indifferent (The project earns exactly the required rate of return).

Internal Rate of Return (IRR) is the discount rate that makes the Net Present Value (NPV) of a project equal to zero. In other words, it is the rate at which the present value of cash inflows equals the initial investment.

Equation:
It is the rate () that satisfies:

Difference from NPV:

1. Measurement: NPV is an absolute measure (in currency terms), while IRR is a relative measure (percentage/ratio).
2. Assumptions: NPV assumes cash flows are reinvested at the Cost of Capital. IRR assumes cash flows are reinvested at the IRR itself.
3. Result: NPV indicates the total wealth added; IRR indicates the break-even yield of the project.

Non-Discounting (Traditional) Techniques:

• Examples: Payback Period, Accounting Rate of Return (ARR).
• Time Value of Money: Ignored. Treats $1 today equal to $1 in ten years.
• Cash Flows: Often uses accounting profits (in ARR) rather than pure cash flows.
• Complexity: Simple and quick to calculate.
• Accuracy: Less reliable for long-term wealth maximization.

Discounting (Modern) Techniques:

• Examples: NPV, IRR, Profitability Index, Discounted Payback.
• Time Value of Money: Considered. Future flows are discounted to Present Value.
• Cash Flows: Uses entire life-cycle cash flows.
• Complexity: More complex calculations involving discount factors.
• Accuracy: More reliable and aligns with the objective of shareholder wealth maximization.

Profitability Index (PI), also known as the Benefit-Cost Ratio, measures the relationship between the present value of future cash flows and the initial investment.

Formula:

Interpretation/Decision Rule:

• PI > 1: Accept the project. (The project generates more value than it costs).
• PI < 1: Reject the project. (The project costs more than the value it generates).
• PI = 1: Indifferent.

PI is particularly useful during Capital Rationing when a firm needs to rank projects to maximize value per unit of investment.

Discounted Payback Period is the amount of time required for an investment to generate cash flows sufficient to recover its initial cost, considering the time value of money.

Unlike the simple Payback Period, which sums nominal cash flows, the Discounted Payback Period sums the Present Value of each cash flow until the cumulative positive present value equals the initial investment.

Superiority over Simple PBP:

1. Considers TVM: It acknowledges that earlier cash flows are worth more.
2. Better Risk Assessment: It ensures that the capital is recovered in 'real' terms, not just nominal terms.
3. Decision Hurdle: A project might pay back in nominal terms in 3 years, but never pay back in discounted terms. Simple PBP would accept it; Discounted PBP would reject it, preventing a loss of value.

While NPV and IRR usually lead to the same accept/reject decision for independent projects, conflicts arise in mutually exclusive projects under the following conditions:

1. Size Disparity: Projects have different initial outlay sizes.
2. Time Disparity: The timing of cash flows differs (e.g., one project returns money early, another late).
3. Life Disparity: Projects have different lifespans.

Conflict: Project A might have a higher NPV, while Project B has a higher IRR.

Preference:
NPV is preferred because:

• It assumes reinvestment at the Cost of Capital (a more realistic rate than the IRR).
• It measures absolute wealth maximization (Dollar value), which aligns with the goal of maximizing shareholder wealth.
• IRR can sometimes have multiple solutions (Multiple IRRs) for non-conventional cash flows.

Capital budgeting relies on Cash Flows rather than Accounting Profit for several reasons:

1. Cash is Reality: Dividends are paid from cash, and assets are purchased with cash. Accounting profit includes non-cash items like depreciation and amortization.
2. Time Value of Money: TVM concepts apply to when cash is actually received or paid. Accounting profit is based on the accrual concept, recognizing revenue when earned, not when received.

Differences:

• Accounting Profit: Calculated as Revenue minus Expenses (including non-cash depreciation). It focuses on matching revenues to the period they occurred.
• Cash Flow: Calculated as Accounting Profit + Non-cash charges (Depreciation) Changes in Working Capital. It focuses on the liquidity and actual movement of funds.

The Capital Budgeting process typically involves the following sequential steps:

1. Project Generation/Identification: Identifying potential investment opportunities.
2. Project Screening: Preliminary checking to see if the project matches the firm's strategy.
3. Project Evaluation: Estimating benefits and costs (Cash flows) and applying techniques like NPV, IRR, or PBP to assess profitability.
4. Project Selection: Choosing projects based on evaluation criteria and available capital.
5. Project Execution/Implementation: Setting up the project and allocating funds.
6. Performance Review (Follow-up): Comparing actual performance against estimates to evaluate the accuracy of forecasts and decision quality.

Capital Rationing is a situation where a firm has more profitable (positive NPV) investment opportunities than it has capital available to finance them.

Types:

1. Hard Rationing: External constraints preventing the firm from raising more funds (e.g., bank restrictions).
2. Soft Rationing: Internal management limits on capital spending to control growth or risk.

Influence on Decisions:

• The firm cannot accept all projects with .
• The firm must rank projects to maximize total NPV within the budget constraint.
• Techniques like the Profitability Index (PI) are often used here because PI measures value created per unit of investment.

Advantages:

1. Considers Time Value of Money: Recognizes that a dollar today is worth more than a dollar tomorrow.
2. Maximize Welfare: It is directly consistent with the objective of maximizing shareholder wealth.
3. Considers all Cash Flows: Unlike Payback Period, it considers cash flows throughout the project life.

Disadvantages:

1. Complexity: Requires the calculation of the Cost of Capital, which can be difficult to estimate accurately.
2. Ranking Difficulty: May not give the best ranking for mutually exclusive projects of different sizes without adjustment.
3. Reinvestment Assumption: Assumes cash flows can be reinvested at the cost of capital, which may not always be feasible.

Calculating cash flows for a Replacement Project involves an incremental analysis (New Machine vs. Old Machine).

1. Initial Cash Outflow ():

2. Operating Cash Inflows ():
Calculate incremental flows:

3. Terminal Cash Flow ():

Multiple IRRs is a phenomenon where a single project has more than one Internal Rate of Return that satisfies the equation .

When does it arise?
It typically occurs in projects with non-conventional cash flows.

• Conventional Cash Flows: Initial outflow (-) followed by a series of inflows (+, +, +...).
• Non-Conventional Cash Flows: The sign of the cash flow changes more than once. For example: Outflow (-), Inflow (+), Outflow (-), Inflow (+).

Implication:
When signs flip multiple times (e.g., a mine reclamation project where you pay at the end to clean up), the IRR equation is a polynomial that may have multiple roots. In such cases, IRR is unreliable, and NPV should be used.

In Capital Budgeting, only relevant cash flows are considered.

Sunk Costs:

• Definition: Costs that have already been incurred and cannot be recovered regardless of the decision (e.g., money spent on a market research study last year).
• Treatment: They are irrelevant. They should be ignored in the analysis because the money is gone whether the project goes ahead or not.

Opportunity Costs:

• Definition: The value of the next best alternative foregone as a result of making a decision (e.g., using a piece of land owned by the company for a project instead of renting it out).
• Treatment: They are relevant. The potential income lost (e.g., lost rent) must be treated as a cash outflow or cost to the project.

Note: If , , and , the decision maker is theoretically indifferent, though in practice, the project might be rejected due to risk aversion.