What is the Net Present Value?
By definition, net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows for a given project or investment. It is one of the most widely used techniques in capital budgeting and investment analysis to evaluate the profitability of a potential project.
To understand this definition, you first need to know what present value means. Imagine that you want to have $2,200 in your account next year. You know that the yearly interest rate on that account is 10%. It means that you need to put $2,000 in that account today to have $2,200 twelve months from now. The present value of "$2,200 due in 12 months" is $2,000.
For a positive discount rate, the future value (FV) is always higher than or equal to the present value (PV). Following that logic, every project that needs an initial investment and returns some money each year has a present value for each cash flow. If you sum up all of these present values, you get the net present value of that project.
How to Calculate Net Present Value?
The surest way to understand the NPV formula is to start with the present value equation:
Where:
- PV — Present value of money
- Cash Flow — Amount of money you will receive (or pay) in the future
- r — Discount rate (interest rate used in cash flow analysis)
- n — Number of time periods (typically years) between now and when you will receive your money
To calculate NPV, you need to sum up the PVs of all cash flows. The first cash flow C₀ — your initial investment — happens at time n = 0 and is negative (it is your expenditure). Every other cash flow Cᵢ will be either positive (income) or negative (expenses). Each period increases n by 1.
How to Calculate NPV: an Example
Suppose you are considering a real estate investment that requires an initial outlay of $100,000. You expect to receive net rental income (after all operating expenses) of $15,000 per year for 5 years, and you plan to sell the property at the end of year 5 for an additional $120,000. Your required rate of return (discount rate) is 10%.
Cash flows:
- Year 1: $15,000
- Year 2: $15,000
- Year 3: $15,000
- Year 4: $15,000
- Year 5: $15,000 + $120,000 = $135,000
NPV calculation:
- PV₁ = 15,000 / 1.10¹ = $13,636
- PV₂ = 15,000 / 1.10² = $12,397
- PV₃ = 15,000 / 1.10³ = $11,270
- PV₄ = 15,000 / 1.10⁴ = $10,245
- PV₅ = 135,000 / 1.10⁵ = $83,821
NPV = −$100,000 + $13,636 + $12,397 + $11,270 + $10,245 + $83,821 = $31,369
Since the NPV is positive ($31,369 > 0), this investment adds value and is worth pursuing at a 10% discount rate.
What Are the Expected Cash Flows?
For real estate investments, cash flows typically include:
- Rental income — monthly or annual rent collected from tenants
- Operating expenses — property taxes, insurance, maintenance, management fees (subtracted from income)
- Capital expenditures — major repairs or improvements (negative cash flows)
- Terminal value / resale price — proceeds from selling the property at the end of the holding period
- Tax benefits — depreciation deductions and other tax advantages
The cash flow in each period is the net amount — income minus expenses. Positive cash flows represent net income; negative cash flows represent net expenditure in that period.
Net Present Value (NPV) and Internal Rate of Return (IRR)
NPV and IRR are the two most popular methods of evaluating investment projects:
- NPV tells you the absolute dollar amount of value an investment creates or destroys. If NPV > 0, the investment adds value; if NPV < 0, it destroys value.
- IRR is the discount rate that makes NPV = 0. It represents the effective rate of return of the investment. If IRR is greater than your required rate of return, the project is acceptable.
Both methods usually agree on whether to accept or reject a project, but they can differ when comparing mutually exclusive investments. NPV is generally preferred because it measures absolute value creation, not just a rate.
How to Interpret NPV Results
- NPV > 0 (positive) — The investment is expected to generate more value than it costs, after accounting for the time value of money. The project adds value.
- NPV = 0 (zero) — The investment breaks even at the given discount rate. You earn exactly your required rate of return.
- NPV < 0 (negative) — The investment is expected to generate less value than it costs, after discounting. The project destroys value at the given discount rate.
FAQs
What discount rate should I use?
The discount rate represents your opportunity cost of capital — the return you could earn on an alternative investment of similar risk. For real estate, common choices are: your mortgage interest rate, your target rate of return (e.g., 8–12%), the weighted average cost of capital (WACC) for businesses, or a risk-free rate plus a risk premium.
Can cash flows be negative?
Yes. Negative cash flows in later periods represent years with high expenses (major repairs, vacancies, etc.) that exceed income. The NPV formula handles negative cash flows naturally.
What is the difference between NPV and ROI?
ROI (Return on Investment) is a simple percentage calculated as (gain − cost) / cost, with no consideration of the time value of money. NPV accounts for the fact that money received today is worth more than money received in the future, making it a more accurate measure for long-term investments.
Which currencies are supported?
This NPV calculator supports 20 world currencies including USD (US Dollar), RUB (Russian Ruble), EUR, GBP, JPY, CNY, CAD, AUD, CHF, INR, BRL, MXN, KRW, SEK, NOK, DKK, PLN, TRY, HKD, and SGD.