91Ó°ÊÓ

Net Present Value (NPV) is a key concept in capital budgeting, helping businesses evaluate the profitability of an investment. It represents the difference between the present value of cash inflows and the initial investment. Simply put, NPV helps to determine how much value an investment will add or subtract from the firm.

To calculate the NPV, you would follow this formula: \[NPV = \sum_{t=1}^{n} \frac{CF_t}{(1+r)^t} - C_0\] where,

• \(CF_t\) is the cash flow in year \(t\),
• \(r\) is the discount rate (in this case, WACC), and
• \(C_0\) is the initial investment cost.

A positive NPV indicates that the projected earnings (in present dollars) exceed the anticipated costs, thus making the project worthwhile.

In the context of Plan A and Plan B, the NPV calculation will allow the decision-makers to see which project is expected to contribute more financial value under current assumptions. This is particularly useful for comparing mutually exclusive projects, where only one can be chosen.

The Internal Rate of Return (IRR) is an alternative method often used in conjunction with NPV for evaluating investment opportunities.It marks the break-even discount rate, that is, the rate at which the NPV of an investment is zero.

IRR helps indicate the efficiency or expected productivity of a project in percentage terms. It is calculated through an iterative process or by using financial software/calculators because it is the discount rate \(r\) in the NPV formula, where \[0 = \sum_{t=1}^{n} \frac{CF_t}{(1+IRR)^t} - C_0\]
However, assessing projects by IRR alone can be misleading. More specifically:

• IRR does not consider the magnitude of the project (i.e., different project sizes), making it difficult to compare smaller projects with larger ones.
• It assumes reinvestment at the same rate, which isn't always practical or possible.

Therefore, comparing the IRR to the Weighted Average Cost of Capital (WACC) is essential to understand whether the returns meet the investment's cost.

By evaluating Plans A and B with IRR, the company will see which plan theoretically provides a more significant percentage return, assuming that all conditions are favorable, but it must not solely rely on IRR without considering NPV and project size.

The Weighted Average Cost of Capital (WACC) is crucial in determining the discount rate used in NPV and IRR calculations.It signifies the average rate of return a company is expected to pay its investors for its capital, encompassing both debt and equity.

The WACC is expressed in percentage terms and serves as a hurdle rate for evaluating projects; projects should generally offer returns greater than the WACC to be considered profitable.
WACC is formulated as:\[WACC = \frac{E}{V}Re + \frac{D}{V}Rd(1-T)\]where:

• \(E\) is the market value of the equity,
• \(D\) is the market value of the debt,
• \(V\) is the total market value of the company's financing (equity + debt),
• \(Re\) is the cost of equity,
• \(Rd\) is the cost of debt,
• \(T\) is the corporate tax rate.

The WACC assumes critical importance as it is aligned with shareholders’ expectations and is a vital benchmark for investment decisions.

For Plans A and B, the firm's WACC of 10% becomes the decision threshold. Each plan must deliver returns above this rate to theoretically contribute to increasing the shareholder value. In the context of choosing between plans, while both could produce IRRs higher than WACC, NPV remains the gold standard as it considers both growth potential and scale.