The internal rate of return method is, like the npv method, a discounted cash flow technique.

The IRR method of analysis has the advantage that it is more universally used and therefore comparison of energy management uses of available funds can be compared directly with competing uses of funds such as increased production, improved company operating efficiency, or manufacturing cost reduction schemes.

From: Energy Management Principles (Second Edition), 2016

Learn more about the similarities and differences between NPV vs IRR

When analyzing a typical project, it is important to distinguish between the figures returned by NPV vs IRR, as conflicting results arise when comparing two different projects using the two indicators.

The internal rate of return method is, like the npv method, a discounted cash flow technique.

Typically, one project may provide a larger IRR, while a rival project may show a higher NPV. The resulting difference may be due to a difference in cash flow between the two projects. Let’s have a look first at what each of the two discounting rates stands for.

What is NPV?

NPV stands for Net Present Value, and it represents the positive and negative future cash flows throughout a project’s life cycle discounted today. NPV represents an intrinsic appraisal, and it’s applicable in accounting and finance where it is used to determine investment security, assess new ventures, value a business, or find ways to effect a cost reduction.

What is IRR?

IRR or Internal Rate of Return is a form of metric applicable in capital budgeting. It is used to estimate the profitability of a probable business venture. The metric works as a discounting rate that equates NPV of cash flows to zero.

Differences Between NPV vs IRR

Under the NPV approach, the present value can be calculated by discounting a project’s future cash flow at predefined rates known as cut off rates. However, under the IRR approach, cash flow is discounted at suitable rates using a trial and error method that equates to a present value. The present value is calculated to an amount equal to the investment made. If IRR is the preferred method, the discount rate is often not predetermined, as would be the case with NPV.

NPV takes cognizance of the value of capital cost or the market rate of interest. It obtains the amount that should be invested in a project in order to recover projected earnings at current market rates from the amount invested.

On the other hand, the IRR approach doesn’t look at the prevailing rate of interest on the market, and its purpose is to find the maximum rates of interest that will encourage earnings to be made from the invested amount.

NPV’s presumption is that intermediate cash flow is reinvested at cutoff rate, while under the IRR approach, an intermediate cash flow is invested at the prevailing internal rate of return. The results from NPV show some similarities to the figures obtained from IRR under a similar set of conditions. At the same time, both methods offer contradicting results in cases where the circumstances are different.

NPV’s predefined cutoff rates are quite reliable compared to IRR when it comes to ranking more than two project proposals.

Similarities of Outcomes under NPV vs IRR

Both methods show comparable results regarding “accept or reject” decisions where independent investment project proposals are concerned. In this case, the two proposals don’t compete, and they are accepted or rejected based on the minimum rate of return on the market.

Conventional proposals often involve a cash outflow during the initial stage and are usually followed by a number of cash inflows. Such similarities arise during the process of decision-making. With NPV, proposals are usually accepted if they have a net positive value. In contrast, IRR is often accepted if the resulting IRR has a higher value compared to the existing cutoff rate. Projects with a positive net present value also show a higher internal rate of return greater than the base value.

Conflicts Between NPV vs IRR

In the case of mutually exclusive projects that are competing such that acceptance of either blocks acceptance of the remaining one, NPV and IRR often give contradicting results. NPV may lead the project manager or the engineer to accept one project proposal, while the internal rate of return may show the other as the most favorable. Such a kind of conflict arises due to a number of problems.

For one, conflicting results arise because of substantial differences in the amount of capital outlay of the project proposals under evaluation. Sometimes, the conflict arises due to issues of differences in cash flow timing and patterns of the project proposals or differences in the expected service period of the proposed projects.

When faced with difficult situations and a choice must be made between two competing projects, it is best to choose a project with a larger positive net value by using cutoff rate or a fitting cost of capital.

The reason the two abovementioned options works is because a company’s objective is maximizing its shareholder’s wealth, and the best way to do that is choosing a project that comes with the highest net present value. Such a project exerts a positive effect on the price of shares and the wealth of shareholders.

So, NPV is much more reliable when compared to IRR and is the best approach when ranking projects that are mutually exclusive. Actually, NPV is considered the best criterion when ranking investments.

Final Word

Both NPV and IRR are sound analytical tools. However, they don’t always agree and tell us what we want to know, especially when there are two competing projects with equally favorable alternatives. That said, most project managers prefer to use NPV because it is considered the best when ranking mutually exclusive projects.

More Resources

Thank you for reading CFI’s guide to the similarities and differences between NPV vs IRR. To keep advancing your career, the additional resources below will be useful:

  • Cost of Capital
  • Discount Rate
  • Hurdle Rate
  • Project Finance

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. By contrast, the internal rate of return (IRR) is a calculation used to estimate the profitability of potential investments.

Both of these measurements are primarily used in capital budgeting, the process by which companies determine whether a new investment or expansion opportunity is worthwhile. Given an investment opportunity, a firm needs to decide whether undertaking the investment will generate net economic profits or losses for the company.

  • NPV and IRR are two discounted cash flow methods used for evaluating investments or capital projects.
  • NPV is the dollar amount difference between the present value of discounted cash inflows less outflows over a specific period of time. If a project's NPV is above zero, then it's considered to be financially worthwhile. 
  • IRR estimates the profitability of potential investments using a percentage value rather than a dollar amount.
  • Each approach has its own distinct advantages and disadvantages. 

To do this, the firm estimates the future cash flows of the project and discounts them into present value amounts using a discount rate that represents the project's cost of capital and its risk. Next, all of the investment's future positive cash flows are reduced into one present value number. Subtracting this number from the initial cash outlay required for the investment provides the net present value of the investment.

Let's illustrate with an example: suppose JKL Media Company wants to buy a small publishing company. JKL determines that the future cash flows generated by the publisher, when discounted at a 12% annual rate, yields a present value of $23.5 million. If the publishing company's owner is willing to sell for $20 million, then the NPV of the project would be $3.5 million ($23.5 - $20 = $3.5). The NPV of $3.5 million represents the intrinsic value that will be added to JKL Media if it undertakes this acquisition.

So, JKL Media's project has a positive NPV, but from a business perspective, the firm should also know what rate of return will be generated by this investment. To do this, the firm would simply recalculate the NPV equation, this time setting the NPV factor to zero, and solve for the now unknown discount rate. The rate that is produced by the solution is the project's internal rate of return (IRR).

For this example, the project's IRR could—depending on the timing and proportions of cash flow distributions—be equal to 17.15%. Thus, JKL Media, given its projected cash flows, has a project with a 17.15% return. If there were a project that JKL could undertake with a higher IRR, it would probably pursue the higher-yielding project instead.

Thus, you can see that the usefulness of the IRR measurement lies in its ability to represent any investment opportunity's possible return and compare it with other alternative investments.

Let's imagine a new project that has the following annual cash flows:

  • Year 1 = -$50,000 (initial capital outlay) 
  • Year 2 = $115,000 return
  • Year 3 = -$66,000 in new marketing costs to revise the look of the project.

A single IRR can't be used in this case. Recall that IRR is the discount rate or the interest needed for the project to break even given the initial investment. If market conditions change over the years, this project can have multiple IRRs. In other words, long projects with fluctuating cash flows and additional investments of capital may have multiple distinct IRR values.

Another situation that causes problems for people who prefer the IRR method is when the discount rate of a project is not known. In order for the IRR to be considered a valid way to evaluate a project, it must be compared to a discount rate. If the IRR is above the discount rate, the project is feasible. If it is below, the project is considered not doable. If a discount rate is not known, or cannot be applied to a specific project for whatever reason, the IRR is of limited value. In cases like this, the NPV method is superior. If a project's NPV is above zero, then it's considered to be financially worthwhile. 

The formula for NPV is:

Net Present Value Formula.

where:

  • Rt=Net cash inflow-outflows during a single period, t
  • i=Discount rate or return that could be earned in alternative investments
  • t=Number of timer periods

If the net present value of a project or investment is negative, then it is not worth undertaking, as it will be worth less in the future than it is today.

It depends. IRR is usually more useful when you are comparing across multiple projects or investments, or in situations where it is difficult to determine the appropriate discount rate. NPV tends to be better for when cash flows may flip from positive to negative (or back again) over time, or when there are multiple discount rates.

Both IRR and NPV can be used to determine how desirable a project will be and whether it will add value to the company. While one uses a percentage, the other is expressed as a dollar figure. While some prefer using IRR as a measure of capital budgeting, it does come with problems because it doesn't take into account changing factors such as different discount rates. In these cases, using the net present value would be more beneficial.