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Home»Finance»What is the internal rate of return (IRR)?
Finance

What is the internal rate of return (IRR)?

Eliott BertholdBy Eliott BertholdMarch 29, 20227 Mins Read
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The Internal Rate of Return (IRR) is a financial metric used to calculate the profitability of an investment. Find out more about IRR and how to calculate it.
Internal rate of return (IRR)
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The Internal Rate of Return (IRR) is a metric used to measure the profitability of an investment. For a company to consider a project as a good investment, the IRR must be greater than or equal to the cost of capital.

The IRR is also less than or equal to the hurdle rate, which is determined by assessing risk, current opportunities, rates of return for similar investments, and other factors. If these conditions are met, the project would be accepted as a good investment by management.

This calculation considers the time value of money and determines how much an investment would have been worth if invested back in time.

What is the internal rate of return (IRR) used for?

The IRR is an essential tool in corporate finance, and it helps determine which projects to invest in, with each project producing a higher return than the company’s cost of capital. In addition, you can also evaluate stock buyback programs by calculating the IRR.

It is calculated by finding the discount rate that will make the net present value of all cash flows from the investment equal to zero. This calculation can be complex, requiring at least one positive and one negative value. The IRR is iterative, meaning that it will take 20 to 30 tries before the result is accurate.

When making decisions about different returns or investment opportunities, the Internal Rate of Return can be a crucial metric for investors to consider. By understanding how the IRR works, they can make more informed choices about where to invest their money and what kind of return they can expect on their investment.

The difference between IRR, ROI, and cash-on-cash return

There are three main ways to measure the profitability of an investment: internal rate of return (IRR), return on investment (ROI), and cash-on-cash return. IRR considers the length of time and changes in value, while ROI does not. IRR is presented as the total percent increase or decrease of an investment over a given time frame, while ROI reflects profitability every year. Cash-on-cash return refers to how much cash the investor receives for each dollar invested in a property compared to what they would have received back in cash if they invested it elsewhere.

IRR calculates the effective annual return on investment, and it is considered the most reliable indicator of investment performance because it’s calculated on a yearly basis. While IRR and ROI produce similar results in the first year, IRR will offer a more accurate depiction of long-term consequences.

IRR formula

The IRR formula is a calculation that determines the interest rate at which an investment will break even. It isn’t easy to calculate because it requires understanding the NPV formula. The NPV equation calculates the present value of all cash flows minus the present value of all cash outflows. This allows businesses and investors to compare different investments and decide where to invest their money.

The NPV formula calculates the present value of all cash inflows minus the present value of all cash outflows. If a company is not generating positive cash flows, then the net present value will equal zero. To solve for IRR, find an interest rate that makes the current value of the positive cash flows equal to the present value of the negative cash flows.

Here’s the IRR formula:

The IRR formula example.
IRR formula

Legend:

CF0​=Initial investment/outlay

CF1​,CF2,CFn, etc​=Cash flows

n=Each period

N=Holding period

NPV=Net present value

IRR=Internal rate of return​

IRR calculation example

When it comes to making important decisions about company investments, the internal rate of return (IRR) is a critical metric that can help make the right choice. Determining whether or not a purchase makes sense for a company is just one way that IRR can be used; it can also be helpful for individuals in personal financial planning.

Suppose you’re considering investing in a new project that will require an initial investment of $10,000 and promise returns of $1,500 at the end of each year for the next five years. Using 8% as an example of an approximate desired internal rate, Excel can help you determine whether this investment is worth your while.

The calculation begins by inputting the cash flow values into two cells: one for inflows (cash received) and one for outflows (money spent). For example, you can use A2 as the cell for inflows and B2 as the cell for outflows. The NPV function in Excel takes these two cells and calculates the present value of all future cash flows. This gives us a negative number because we’re looking at future cash flows in today’s dollars ($10,000 invested now would be worth less than $10,000 five years from now).

The next step is to use the IRR function, which takes the NPV function and finds the rate of return that makes the NPV equal to zero. For example, this happens at an IRR of 8%. As you can see, this calculation is not always exact; an 8% rate is close but not precisely equal to the desired internal rate. However, it gives us an excellent estimate to work with.

You can also use IRR to compare different investments. Suppose you have two options: investing in a new project or depositing your money into a savings account that offers a 0.5% monthly return (6% per year). Using Excel, you can quickly determine which option provides the greater return on investment.

IRR is an essential metric for individuals and businesses when making financial decisions. It helps determine whether or not a purchase makes sense financially and compares different investment opportunities.

Limitations of IRR

The Internal Rate of Return (IRR) is a financial metric used to calculate the profitability of an investment. Find out more about IRR and how to calculate it.
Limitations of IRR

While IRR is a helpful tool, it is important to be aware of its limitations. Namely, there are other measures of return that investors should use in conjunction with IRR.

For example, when using IRR to compare investments, you may inaccurately conclude that one asset is better than another. This is because IRR does not consider the time value of money or the difference between an investment’s purchase price and sale price (known as the capital gain or loss).

Furthermore, while IRR considers the compounding effect of interest, it does not factor in inflation rates which would increase its accuracy if applied to different countries with varying levels of inflation rates.

Unlike NPV, IRR does not provide a monetary value for the return on the initial investment. For instance, knowing an IRR of 10% does not reveal if it is 10% of $100,000 or 30% of $1,000,000. Utilizing IRR purely might result in bad investment decisions, particularly when comparing two projects of varying durations.

Suppose a company’s hurdle rate is 8% and a one-year project A has a 12% IRR, while a five-year project B has a 16% IRR. If the choice is made purely based on IRR, it will result in the unjustified selection of project A over project B.

Another critical aspect of the internal rate of return is that it presupposes that any positive cash flows generated by the project will be invested back at the same rate as the project, rather than at the company’s cost of capital. As a result, the internal rate of return may not adequately represent a project’s profitability and cost.

A prudent financial analyst will instead calculate the modified internal rate of return (MIRR) to receive a more precise figure.

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Eliott Berthold

Eliott is a Nexym Finance writer. He runs several high yielding portfolios for American and international clients. He teaches first and second year Finance at various universities and enjoys golf and competitive running.

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