Internal Rate of Return (IRR) Rule

Internal Rate of Return (IRR) Rule

The internal rate of return (IRR) rule states that a project or investment should be pursued if its IRR is greater than the minimum required rate of return, also known as the hurdle rate. Using the above examples, the company can calculate IRR for each project as: **IRR Project A:** $0 = (-$5,000) + $1,700 ÷ (1 + IRR)1 \+ $1,900 ÷ (1 + IRR)2 + $1,600 ÷ (1 + IRR)3 + $1,500 ÷ (1 + IRR)4 + $700 ÷ (1 + IRR)5 IRR Project A = **16.61 %** **IRR Project B:** $0 = (-$2,000) + $400 ÷ (1 + IRR)1 + $700 ÷ (1 + IRR)2 + $500 ÷ (1 + IRR)3 + $400 ÷ (1 + IRR)4 + $300 ÷ (1 + IRR)5 IRR Project B = **5.23 %** Given that the company's cost of capital is 10%, management should proceed with Project A and reject Project B. While companies typically follow the conclusions offered by the internal rate of return (IRR) rule, other considerations — such as the size of the project and whether or not the project contributes to a larger strategy or goal of the company — may lead to management deciding to proceed with a project with a low IRR. A company may also prefer a larger project with a lower IRR to a much smaller project with a higher IRR because of the higher cash flows generated by the larger project. Year one = $1,700 Year two = $1,900 Year three = $1,600 Year four = $1,500 Year five = $700 **Project B** Initial Outlay = $2,000 Year one = $400 Year two = $700 Year three = $500 Year four = $400 Year five = $300 The company must calculate the IRR for each project.

The internal rate of return (IRR) rule states that a project or investment should be pursued if its IRR is greater than the minimum required rate of return, also known as the hurdle rate.

What Is the Internal Rate of Return (IRR) Rule?

The internal rate of return (IRR) rule states that a project or investment should be pursued if its IRR is greater than the minimum required rate of return, also known as the hurdle rate.

The internal rate of return (IRR) rule states that a project or investment should be pursued if its IRR is greater than the minimum required rate of return, also known as the hurdle rate.
The IRR Rule helps companies decide whether or not to proceed with a project.
A company may not rigidly follow the IRR rule if the project has other, less tangible, benefits.

Understanding the Internal Rate of Return (IRR) Rule

Essentially, the IRR rule is a guideline for deciding whether to proceed with a project or investment. The higher the projected IRR on a project — and the greater the amount it exceeds the cost of capital — the more net cash the project generates for the company. Meaning, in this case, the project looks profitable and management should proceed with it. On the other hand, if the IRR is lower than the cost of capital, the rule declares that the best course of action is to forego the project or investment.

Mathematically, IRR is the rate that would result in the net present value (NPV) of future cash flows equaling exactly zero.

Investors and firms use the IRR rule to evaluate projects in capital budgeting, but it may not always be rigidly enforced. Generally, the higher the IRR, the better. However, a company may prefer a project with a lower IRR because it has other intangible benefits, such as contributing to a bigger strategic plan or impeding competition. A company may also prefer a larger project with a lower IRR to a much smaller project with a higher IRR because of the higher cash flows generated by the larger project.

While companies typically follow the conclusions offered by the internal rate of return (IRR) rule, other considerations — such as the size of the project and whether or not the project contributes to a larger strategy or goal of the company — may lead to management deciding to proceed with a project with a low IRR.

Example of the IRR Rule

Assume a company is reviewing two projects. Management must decide whether to move forward with one, both, or neither of the projects. Its cost of capital is 10%, The cash flow patterns for each are as follows:

Project A

Project B

The company must calculate the IRR for each project. Initial outlay (period = 0) will be negative. Solving for IRR is an iterative process using the following equation:

$0 = Σ CFt ÷ (1 + IRR)t

$0 = (initial outlay * -1) + CF1 ÷ (1 + IRR)1 + CF2 ÷ (1 + IRR)2 + ... + CFX ÷ (1 + IRR)X

Using the above examples, the company can calculate IRR for each project as:

IRR Project A:

$0 = (-$5,000) + $1,700 ÷ (1 + IRR)1 + $1,900 ÷ (1 + IRR)2 + $1,600 ÷ (1 + IRR)3 + $1,500 ÷ (1 + IRR)4 + $700 ÷ (1 + IRR)5

IRR Project A = 16.61 %

IRR Project B:

$0 = (-$2,000) + $400 ÷ (1 + IRR)1 + $700 ÷ (1 + IRR)2 + $500 ÷ (1 + IRR)3 + $400 ÷ (1 + IRR)4 + $300 ÷ (1 + IRR)5

IRR Project B = 5.23 %

Given that the company's cost of capital is 10%, management should proceed with Project A and reject Project B.

Is Using the IRR the Same As Using the Discounted Cash Flow Method?

Yes. Using IRR to obtain net present value is known as the discounted cash flow method of financial analysis. The IRR (internal rate of return) is the interest rate (also known as the discount rate) that will bring a series of cash flows (positive and negative) to a net present value (NPV) of zero (or to the current value of cash invested). Investors and firms use IRR to evaluate whether an investment in a project can be justified.

How Is the IRR Rule Used?

Essentially, the IRR rule is a guideline for deciding whether to proceed with a project or investment. So long as the IRR exceeds the cost of capital, the higher the projected IRR on a project, the higher the net cash flows to the company. On the other hand, if the IRR is lower than the cost of capital, the rule declares that the best course of action is to forego the project or investment.

Will Firms Always Follow the IRR Rule?

The IRR rule may not always be rigidly enforced. Generally, the higher the IRR, the better. However, a company may prefer a project with a lower IRR, as long as it still exceeds the cost of capital, because it has other intangible benefits, such as contributing to a bigger strategic plan or impeding competition. Ultimately, companies consider a number of factors when deciding whether to proceed with a project. There may be factors that outweigh the IRR rule.

Related terms:

Capital Budgeting

Capital budgeting is a process a business uses to evaluate potential major projects or investments. It allows a comparison of estimated costs versus rewards. read more

Conventional Cash Flow

Conventional cash flow is a series of inward and outward cash flows over time in which there is only one change in the cash flow direction.  read more

Cost of Capital : Formula & Calculation

Cost of capital is the required return a company needs in order to make a capital budgeting project, such as building a new factory, worthwhile. read more

Hurdle Rate

A hurdle rate is the minimum rate of return on a project or investment required by a manager or investor. read more

Internal Rate of Return (IRR) & Formula

The internal rate of return (IRR) is a metric used in capital budgeting to estimate the return of potential investments. read more

Modified Internal Rate of Return – MIRR

While the internal rate of return (IRR) assumes that the cash flows from a project are reinvested at the IRR, the modified internal rate of return (MIRR) assumes that positive cash flows are reinvested at the firm's cost of capital, and the initial outlays are financed at the firm's financing cost. read more

Net Cash

Net cash is a financial figure that is derived by subtracting a company's total liabilities from its total cash. read more

Net Present Value (NPV)

Net Present Value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time. read more

Profitability Index (PI) Rule

The profitability index (PI) rule is a calculation of a venture's profit potential, used to decide whether or not to proceed. read more

Required Rate of Return (RRR)

The required rate of return (RRR) is the minimum return an investor will accept for an investment as compensation for a given level of risk. read more