Fill in the blank:
....................... is a rate of return which actually equates the present value of expected cash inflows with the present value of expected cash outflows.

Question

Fill in the blank:
 ....................... is a rate of return which actually equates the present value of expected cash inflows with the present value of expected cash outflows.

Accepted Answer

The correct option is 1:
The Internal Rate of Return (IRR) is a fundamental concept in capital budgeting and project appraisal. By definition, the IRR is the specific discount rate at which the Net Present Value (NPV) of an investment project becomes exactly zero. This is mathematically the same as stating that the discounted present value of all expected future cash inflows precisely equals the present value of the expected cash outflows (which is typically the initial investment). Consequently, the IRR represents the project's expected compound annual rate of return, isolating the investment's inherent profitability. For a project to be considered financially worthwhile, its calculated IRR must be greater than the company's cost of capital or required minimum rate of return (hurdle rate).

The incorrect option is 2:
Return on Investment (ROI) is a simple and widely used profitability ratio, typically calculated as the ratio of net profit (or gain) to the cost of the investment. A critical distinction is that ROI does not account for the time value of money, meaning it treats a dollar received today as having the same value as a dollar received in the future. Because the definition requires equating *present values* (a time-value-of-money concept), the simple ROI metric is not appropriate as it ignores the compounding and discounting of cash flows over the project's life.

The incorrect option is 3:
The Average Rate of Return (ARR) is an accounting rate of return method, not a cash-flow-based one. It is calculated by dividing the average annual net profit expected from a project by the average or initial investment. Similar to ROI, ARR is computationally simple but conceptually flawed for capital budgeting because it entirely ignores the time value of money. Moreover, it uses accounting profit (after depreciation and tax) rather than cash flows, which are the inputs required for equating present values of inflows and outflows.

The incorrect option is 4:
Return on Assets (ROA) is a financial profitability ratio used to evaluate a company's operational efficiency. It measures how effectively management uses a company's total assets to generate net income, usually by dividing net income by total assets. ROA is a measure of historical company-wide performance drawn from the balance sheet and income statement. It does not involve the discounting of future cash flows, nor is its purpose to find a break-even rate that equates the present value of a project's cash flows.