IRR Calculator

The internal rate of return IRR rate is a calculation which is often used by businesses to test the viability of an investment. This IRR calculator allows you to compare multiple scenarios at the same time, which makes comparing the respective cash flow outputs and IRR results easier. The IRR calculator produces a percentage return rate, rather than the monetary return rate as seen in the NPV calculation. If we look at three scenarios in which a small printing business is looking to purchase a new machine to facilitate growth within the local market, we can test scenarios to work out which is the best option for the printing company based on the internal rate of return (IRR) measure.

The first machine that we profile is Machine A, which costs $150,000 NZD for the initial investment and has a 5-year working lifespan. In Year 1 the cashflows are $30,000, in Year 2 the cashflows are $35,000, in Year 3 the cashflows are $45,000, in Year 4 the cashflows are $60,000 and in Year 5 the cashflows are $85,000. Putting these values into the left-hand calculator below, we can see the IRR (Internal Rate of Return) for Machine A over the 5-year period is 17.02%.

The second machine that we profile is Machine B, which costs $250,000 NZD for the initial investment and has a 5-year working lifespan. In Year 1 the cashflows are $55,000, in Year 2 the cashflows are $65,000, in Year 3 the cashflows are $77,000, in Year 4 the cashflows are $99,000 and in Year 5 the cashflows are $105,000. Putting these values into the middle calculator below we can see the IRR (Internal Rate of Return) for Machine B over the 5-year period is 15.96%.

The third machine that we profile is Machine C, costs $350,000 NZD for the initial investment and has a 5-year working lifespan. In Year 1 the cashflows are $98,000, in Year 2 the cashflows are $108,000, in Year 3 the cashflows are $115,000, in Year 4 the cashflows are $123,000 and in Year 5 the cashflows are $125,000. Putting these values into the right-hand calculator below we can see the IRR (Internal Rate of Return) for Machine C over the 5-year period is 17.84%.

Looking at the results of the three machine comparisons, we can see that the best IRR comes from the investment in Machine C with an IRR of 17.84%, compared to the second best return of 17.02% from Machine A. In this example, given that Machine C costs more than double the cost of Machine A, depending on the borrowing capacity or phase of development the business could argue that Machine A or Machine C was the best fit at that point in time given the marginal difference in the IRR returns and the potential for borrowing to purchase either machine.

To use the IRR calculator below, choose the number of years you want to project, then enter the initial investment (the up-front cost) and the cash flow for each year, for as many of the three scenarios as you would like to compare. Enter the initial investment as a positive cost; the calculator treats it as the Year 0 outflow.

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Scenario 1 (Machine A)
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Scenario 2 (Machine B)
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Scenario 3 (Machine C)
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How the IRR is worked out

The internal rate of return is the discount rate that makes the net present value (NPV) of all the cash flows equal to zero. The calculator builds the cash flow series (the initial investment as a negative Year 0 amount, then each year's cash flow) and searches for the rate where NPV is zero, using a numerical method (the bisection method). If the cash flows never cross zero (for example, all inflows or all outflows), no IRR exists and the calculator says so. IRR ignores the scale of the investment, so compare it alongside NPV and the size of the outlay. Estimate only, not financial advice.

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