# Internal rate of return

## What is Internal Rate of Return?

Internal rate of return (IRR) is a metric used in finance to assess the profitability of potential investments. It is a discount rate that makes the present value (PV) of a project’s cash flows equal to the initial cost of the project. In other words, it is the rate at which a project is expected to generate returns over its lifespan.

## How is Internal Rate of Return Calculated?

The internal rate of return is calculated by discounting the expected cash flow of a project to its present value and then finding the discount rate at which the present value equals the initial investment. This discount rate is known as the IRR. It is commonly expressed as a percentage. The formula for calculating the internal rate of return is as follows: IRR = NPV (Cash Flows) / Initial Investment

## What are the Benefits of Internal Rate of Return?

There are several benefits of using the internal rate of return to evaluate potential investments. These include:

• It takes into account the time value of money which is critical for long-term investments.
• It can be used to compare different investments and choose the best one.
• It is easy to understand and simple to calculate.
• It is useful for evaluating the risk of a project.

## Examples of Internal Rate of Return

Let’s consider a simple example. Suppose you are considering investing \$100,000 in a project. The project is expected to generate \$50,000 in cash flows each year for five years. The internal rate of return for this project can be calculated as follows: IRR = PV (Cash Flows) / Initial Investment PV (Cash Flows) = \$50,000 x (1 + IRR)-1 + \$50,000 x (1 + IRR)-2 + … + \$50,000 x (1 + IRR)-5 PV (Cash Flows) = \$250,000 IRR = \$250,000 / \$100,000 IRR = 2.5 The internal rate of return for this project is 2.5%.

## Conclusion

Internal rate of return is a useful metric for evaluating the profitability of potential investments. It takes into account the time value of money and is easy to calculate. It can also be used to compare different investments and choose the best one.