25.5. Techniques of Capital Budgeting

Capital budgeting techniques are divided into two main categories: A. Traditional Techniques (Non-discounted Methods) B. Discounted Cash Flow (DCF) Techniques

Capital budgeting techniques are methodologies that companies use to evaluate potential investments. These techniques are classified into two main categories: Traditional Techniques, which do not factor in the time value of money, and Discounted Cash Flow (DCF) Techniques, which do. Understanding these categories helps in analyzing various projects based on their financial merits and expected outcomes.

Consider a farmer deciding whether to invest in new machinery or an irrigation system. The farmer can use traditional methods, like seeing how long it will take to recover the initial costs through increased crop production, or discounted methods that take into account how future benefits become less valuable over time due to inflation or other factors.

1. Payback Period (PBP)

   • Definition: Time it takes to recover the initial investment.
   • Formula: Initial Investment Payback Period= Annual Cash Inflow
   • Advantages:
     • Simple and easy to understand.
     • Good for assessing liquidity.
   • Disadvantages:
     • Ignores time value of money.
     • Does not consider cash flows after payback period.

2. Accounting Rate of Return (ARR)

   • Definition: Measures return based on accounting profits.
   • Formula: Average Annual Profit ARR= ×100 Initial Investment
   • Advantages:
     • Simple and based on accounting data.
   • Disadvantages:
     • Ignores time value of money.
     • Uses accounting profit, not cash flow.

The traditional techniques for capital budgeting include Payback Period and Accounting Rate of Return. The Payback Period measures how quickly an investment can be recovered, which is useful for assessing the liquidity of an investment. However, it does not take into account the time value of money, so it might give a skewed perception of profitability. ARR calculates profit relative to the initial investment but similarly ignores cash flow timing, relying only on accounting figures.

Imagine a student who buys a laptop for studying. If they earn $400 from tutorials every semester, the payback period would simply tell them how long it takes to recover the$1,200 they spent. However, it doesn't consider that money today is worth more than the same amount in the future. If the student was also looking at how much they can earn over multiple years, the accounting rate of return would help them assess profitability but may overlook important cash flows from other sources.

1. Net Present Value (NPV)

   • Definition: Difference between present value of cash inflows and outflows.
   • Formula: N PV=∑¿ Where: R t = Net cash inflow at time t r = Discount rate C 0 = Initial investment
   • Decision Rule:
     • If NPV > 0: Accept the project
     • If NPV < 0: Reject the project
   • Advantages:
     • Considers time value of money.
     • Considers all cash flows.
   • Disadvantages:
     • Requires estimation of discount rate.
     • More complex to compute.

2. Internal Rate of Return (IRR)

   • Definition: Discount rate at which NPV is zero.
   • Formula: 0=∑¿
   • Decision Rule:
     • If IRR > Required Rate of Return: Accept the project.
     • If IRR < Required Rate: Reject.
   • Advantages:
     • Considers time value of money.
     • Easy to compare with cost of capital.
   • Disadvantages:
     • May produce multiple IRRs for non-conventional cash flows.
     • Difficult to calculate manually.

3. Profitability Index (PI)

   • Definition: Ratio of present value of future cash inflows to the initial investment.
   • Formula: PV of Cash Inflows PI= Initial Investment
   • Decision Rule:
     • If PI > 1: Accept.
     • If PI < 1: Reject.
   • Advantages:
     • Helpful when funds are limited.
     • Based on DCF principles.
   • Disadvantages:
     • Like NPV, requires discount rate estimation.

The discounted cash flow techniques include Net Present Value (NPV), Internal Rate of Return (IRR), and Profitability Index (PI). NPV evaluates the difference between present values of cash inflows and outflows, providing a clear decision-making framework by accepting projects with a positive NPV. IRR identifies the discount rate that results in a zero NPV, facilitating comparisons with a required rate of return. Lastly, PI measures the value generated per dollar invested, which is particularly useful when assessing projects with limited funds. These techniques provide a more comprehensive understanding of an investment's financial benefits by considering the time value of money.

Think of a game show where contestants choose between two prize options, one with immediate cash and another with a larger sum given after a delay. Using DCF methods would help determine which prize offers better value over time. For example, if the immediate option gives $10,000, but the delayed option is$12,000 a year later, applying NPV and considering the time value of each cash flow will reveal which option is more beneficial. Contestants would evaluate the risks of waiting versus immediate rewards based on the present value of the delayed prize.

The decision rules for major techniques include:

• NPV: Accept if NPV > 0, reject if NPV < 0.
• IRR: Accept if IRR > Required Rate of Return, reject if IRR < Required Rate.
• PI: Accept if PI > 1, reject if PI < 1.

Each capital budgeting technique has a clear rule for accepting or rejecting an investment project. For NPV, the guideline is straightforward: a project should be accepted if the NPV is greater than zero, indicating more value than cost. IRR requires that the obtained rate exceeds a predetermined rate of return; if it doesn’t, the project is considered unviable. Similarly, the Profitability Index measures return on investment: if it's greater than one, the project is favorable, while less than one suggests rejection.

Imagine you're deciding whether to invest in a startup business with three friends. You promise to invest $1,000, and at the end of the year, you're presented with the returns of$1,200. The company can either expand fast or remain stagnant. If you apply the NPV rule and find the projected cash inflows exceed the costs, you're encouraged to open that cash register. If your friend presents a more risky venture but estimates a higher IRR, weighing your obligation against potential returns will likely lead to different investment decisions.

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