# Intuition Behind IRR and NPV

What’s the intuition behind Internal Rate of Return (IRR) and Net Present Value (NPV)? Discounted cash flow analysis is an essential tool in the commercial real estate practitioner’s toolbelt, but unfortunately for many people, there is still a lot of mystery surrounding this concept.

First of all let’s get some definitions out of the way and then we’ll walk through an example.

Internal rate of return (IRR) for an investment is the percentage rate earned on each dollar invested for each period it is invested. IRR is also another term people use for interest. Ultimately, IRR gives an investor the means to compare alternative investments based on their yield.

Net present value (NPV) is an investment measure that tells an investor whether the investment is achieving a target yield at a given initial investment. NPV also quantifies the adjustment to the initial investment needed to achieve the target yield assuming everything else remains the same.

What does all this mean? Consider the following discounted cash flow analysis for a small office building: The IRR is simply the rate of return an investor would expect to achieve on this property, given its projected cash flows over the holding period. In this case it would be 7.51% without leverage and 10.71% with debt added to the property.

The NPV, on the other hand, depends on the discount rate, which in this case is 12.00%. What is a discount rate? The discount rate is simply the investor’s desired rate of return. Normally the discount rate used is the investor’s opportunity cost of capital or, in the case of an institutional investor, the weighted average cost of capital.

What the NPV tells us is how far off the mark we are from the investor’s desired rate of return. In this case, the NPV is (\$50,225) in the levered example and (\$402,421) in the unlevered example. This means that in order to achieve our desired 12.00% return we’d have to reduce our initial investment in the property (acquisition price, fees, etc.) by \$50,225 or \$402,421, depending on whether or not we place debt on the property.

Notice that the IRR calculated above told us the return on our projected cash flows was 10.71% (levered) and 7.51% (unlevered). So, intuitively, we’d expect to reduce our initial cash outlay in order to improve our rate of return. The NPV simply quantifies how much we need to adjust our initial investment in order to achieve our target yield.

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