# NPV: Net Present Value in Commercial Real Estate

## What is NPV in Commercial Real Estate?

Net present value, or NPV, is a financial metric that can help commercial real estate investors determine whether they're getting a certain return or 'target yield,' given the amount of their initial investment.  Using the NPV equation, you can take a building's current net cash flows and your required rate of return, and determine what a building's value is to you, the investor, right now.

### How Can Investors Calculate NPV?

Net present value can be calculated using the formula below, in which "C" represents the sum of cash flows "n" represents each period, "N" represents the holding period, and "r" represents the desired target yield, or required rate rate of return.

### The Theory Behind NPV

The main concept behind net present value (NPV) is the idea that money now is more valuable than money in the future. For example, if you have \$500 now, you can invest it and make even more money. However, if you don't see that \$500 until a few years down the road, you miss out on all the opportunities you had to make money during that time. In commercial real estate finance, this concept is referred to as the time value of money (TVM).

In commercial real estate, if the NPV of a property is positive, an investor is paying less for a property than what it's worth, if the NPV is zero, than the investor is paying exactly what the property is worth, and, if the property's NPV is negative, the investor is paying more for the property than what it's worth.

### NPV vs. IRR: What's The Difference?

Internal rate of return, or IRR, is another financial metric which is closely related to, but not the same as NPV. IRR looks at the financial gain on each dollar invested, and therefore, is the interest rate that can bring a set of cash flows to an NPV of zero.

For example, if you were considering purchasing a \$1 million office building and selling it in 5 years, and the building had an anticipated annual cash flow of \$100,000, and your required rate of return was 12%, you could plug this into the NPV formula. If you did so, you would quickly find that the IRR for the building only reached 11.59%, leaving you with an NPV of \$984, 687. In order to achieve your desired 12% IRR, you would have to purchase the building for \$984, 687 or less.

### The Limitations of NPV and IRR

Keep in mind that NPV does not compensate for uneven cash flows; if, in the previous example, the building generated \$0 in years 1-4 and \$500,000 in cash in year 5, the NPV for that period would be the same. Likewise, IRR does not compensate for the size of a transaction; the IRR on a \$1,000 investment that returned \$4,000 would be higher than the IRR for a \$10 million investment that returned \$30 million, but most investors would likely be far more interested in the second deal.