The Investment Decision | Capital Budgeting Techniques (Discounted & Non-discounted ) | Finance Notes | MBA

The Investment Decision and Capital Budgeting Techniques

If you want to understand how businesses grow and create long-term value, you have to master the investment decision. Widely considered the most crucial decision a financial manager makes, the investment decision involves the allocation of capital to investment proposals whose benefits will be realized in the future.

Financial Management notes

Because future benefits are never known with absolute certainty, these investment proposals inherently involve risk. Therefore, a business must evaluate projects based on their expected return and risk, only accepting investments that provide expected returns in excess of what the financial markets require.

This process of evaluating and selecting long-term investments is known as capital budgeting. Below, we will dive deep into the administrative framework of capital budgeting, how to estimate cash flows, and the specific discounted and non-discounted techniques used to make these high-stakes financial decisions.

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1. The Foundation of Capital Budgeting: Cash Flows

Before applying any mathematical formulas, you need the right data. In capital budgeting, good managers focus on cash flows, not accounting income. A company invests cash today with the expectation of receiving more cash in the future, and only cash receipts can be reinvested or paid out as dividends.

When setting up your data, you must evaluate incremental cash flows—meaning you only analyze the difference between the firm's cash flows with the project versus without the project.

• Ignore Sunk Costs: Past costs cannot be recovered and are irrelevant to the decision.
• Include Opportunity Costs: If the project uses an existing asset (like an empty building) that could otherwise be sold, the potential sale price must be treated as a cash outlay at the start of the project.
• Account for Taxes and Depreciation: While depreciation is a noncash expense, it reduces taxable income, which in turn reduces the cash paid for taxes.

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2. Non-Discounted Capital Budgeting Techniques

These methods are traditional and simple to calculate, but they come with a major flaw: they generally ignore the time value of money (the principle that a dollar today is worth more than a dollar tomorrow).

A. Average Rate of Return (ARR)

The ARR is an accounting measure that calculates the ratio of average annual profits after taxes to the initial investment in the project.

Formula: 

ARR = Average Annual Profit After Taxes / Initial Investment

Numerical Example: 

Suppose a company buys a new machine for Rs 18,000. 
Over its 5-year life, it generates an average annual profit after taxes of Rs 2,100. 

ARR = Rs 2,100 / Rs 18,000 = 11.67%

Decision Rule: Compare the calculated ARR to a required "cutoff" rate set by the company to determine if the project is accepted.

Drawback: It is based on accounting income rather than cash flows, and it treats a dollar earned in year 5 the exact same as a dollar earned in year 1.

B. Payback Period

The payback period tells you exactly how many years it will take to recover your initial cash investment.

Formula: Payback Period = Initial Cash Investment / Annual Cash Inflow

Numerical Example (Even Cash Flows): 

If a project costs Rs18,000 and generates a steady cash inflow of Rs5,700 every year: 

Payback = Rs18,000 / Rs5,700 = 3.16 years.

Numerical Example (Uneven Cash Flows): 

Suppose the Rs18,000 investment generates 

Rs4,000 in year 1, 

Rs6,000 in year 2, 

Rs6,000 in year 3, 

and Rs4,000 in year 4. 

By year 3, you have recovered Rs16,000. You still need Rs2,000 in year 4. 

Payback = 3 years + (Rs2,000 / Rs4,000) = 3.5 years.

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3. Discounted Capital Budgeting Techniques (DCF)

Because non-discounted methods fall short, financial managers rely heavily on discounted cash-flow (DCF) methods. These techniques account for both the magnitude and the exact timing of expected cash flows.

A. Internal Rate of Return (IRR)

The IRR is the exact discount rate that equates the present value of expected cash inflows with the present value of expected cash outflows. In simpler terms, it is the actual yield of the investment.

Formula: 

Solve for r where: 

Numerical Example: 

Assume an initial cash outlay of Rs18,000 with expected cash inflows of Rs5,600 at the end of each year for 5 years. 

Rs18,000 = Rs5,600/(1+r) + Rs5,600/(1+r)^2 + ... + Rs5,600/(1+r)^5. 

By using a calculator or interpolating by trial and error, we find the rate r that discounts this stream exactly to 18,000 is approximately 16.8%.

Decision Rule: Accept the project if the IRR is greater than the company's required rate of return (also known as the hurdle rate).

B. Net Present Value (NPV)

The NPV method discounts all cash flows back to the present day using the company's required rate of return, and then subtracts the initial cost. It represents the absolute dollar amount of value the project will add to the firm.

Formula: 

Numerical Example: 

A project requires an initial outlay of Rs18,000 and provides net cash inflows of $5,700 for 5 years. The firm's required rate of return is 12%. 

NPV = -Rs18,000 + [Rs5,700/(1.12)^1] + [Rs5,700/(1.12)^2] + ... + [Rs5,700/(1.12)^5]. NPV = -Rs18,000 + Rs20,547 = Rs2,547.

Decision Rule: Accept the proposal if the NPV is zero or greater. Because the NPV of $2,547 is strictly positive, accepting this project should increase the market price of the company's stock.

C. Profitability Index (PI)

The profitability index, or benefit/cost ratio, is the present value of future net cash flows divided by the initial cash outlay.

Formula: 
PI = Present Value of Inflows / Initial Outlay.

Numerical Example: 

Using the PV of inflows from the NPV example (Rs20,547) and the initial cost (Rs18,000)

PI = Rs20,547 / Rs18,000 = 1.14.

Decision Rule: As long as the PI is 1.00 or greater, the project is acceptable.

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4. NPV vs. IRR: Which is Better?

In most standard situations, both NPV and IRR will give you the exact same "accept or reject" signal. If the required rate of return is less than the IRR, the NPV will always be positive.

However, Net Present Value (NPV) is theoretically superior and is the preferred method, particularly when evaluating mutually exclusive projects (where you can only pick one). Here is why:

1. The Reinvestment Rate Assumption: IRR implicitly assumes that future cash inflows are reinvested at the internal rate of return itself. NPV assumes cash flows are reinvested at the required rate of return, which is a much more realistic measure of the opportunity cost of funds available to the firm.
2. Scale of Investment: Because IRR is a percentage, it ignores the absolute size of the project. A 50% return on a Rs100 investment is less valuable in absolute dollars than a 25% return on a Rs500 investment. NPV measures the absolute dollar contribution to shareholder wealth.
3. Multiple Rates of Return: If a project has non-conventional cash flows (e.g., cash outflows occurring at the end of the project for environmental cleanup), the mathematical formula for IRR can result in multiple internal rates of return, making it useless for decision-making. NPV does not suffer from this mathematical flaw.

Conclusion

Mastering the investment decision means moving beyond simple accounting profits and focusing on the timing and risk of actual cash flows. While methods like the Payback Period offer a quick glimpse into a project's liquidity, discounted cash flow techniques like the Net Present Value (NPV) provide the most objective and theoretically sound basis for allocating capital and maximizing shareholder wealth.