Net Present Value
Net Present Value (NPV) is the difference between the present value of an investment's future cash inflows and the present value of its cash outflows, measuring the dollar value created or destroyed by undertaking the investment at a given discount rate.
NPV is the gold standard of capital budgeting for a reason: it directly measures wealth creation in dollar terms. A positive NPV means an investment creates more value than it costs when the time value of money and risk are accounted for; a negative NPV destroys value. The decision rule is simple — accept projects with positive NPV, reject those with negative NPV, and choose the highest NPV option when projects are mutually exclusive.
The NPV formula is: NPV = -C_0 + CF_1/(1+r) + CF_2/(1+r)^2 + ... + CF_n/(1+r)^n, where C_0 is the initial investment, CF_t represents the cash flow in each period, and r is the appropriate discount rate (typically WACC for corporate investment decisions). The formula explicitly recognizes that a dollar received next year is worth less than a dollar today because of the opportunity cost of waiting.
Consider a US manufacturing company evaluating a $100 million plant expansion. The project is expected to generate free cash flows of $20 million annually for eight years with a terminal value of $30 million at the end of year 8. Discounting all cash flows at a WACC of 9%: the sum of discounted cash flows is approximately $111 million, giving an NPV of $11 million. The project creates $11 million of value for shareholders and should be accepted.
NPV has important advantages over competing metrics. Unlike the payback period, NPV accounts for all cash flows over the entire project life and adjusts for time value. Unlike IRR, NPV correctly ranks mutually exclusive projects — the project with the higher NPV always creates more absolute wealth even if it has a lower IRR. NPV is also additive: the NPV of a portfolio of independent projects equals the sum of their individual NPVs, simplifying capital allocation decisions.
NPV is sensitive to the discount rate, particularly for long-duration projects. A renewable energy project with 25-year cash flows is far more affected by a 1-percentage-point change in WACC than a two-year retail build-out. This is why US utilities and infrastructure companies agonize over their cost of capital: small rate changes determine whether multi-billion dollar capital programs generate positive NPV. Analysts should always present NPV alongside a sensitivity analysis showing outcomes under different discount-rate assumptions.