Financial Glossary
Net present value
Net present value (NPV) is the sum of a project's expected future cash flows each discounted back to today at a required rate of return (the discount rate), minus the initial investment. The formula is: NPV = sum of [Cash Flow in period t divided by (1 + r) to the power of t] minus Initial Investment, where r is the discount rate and t is the period number. A positive NPV means the investment is expected to generate more value than it costs in today's dollars; negative NPV suggests the opposite. NPV is preferred over payback period or IRR for capital budgeting because it accounts for the magnitude and timing of all cash flows.
Problem & Application
A campground owner evaluates a $200,000 cabin addition expected to generate $60,000 in incremental annual cash flow for five years. At a 10% discount rate, the present value of that stream is approximately $227,448 (using the annuity formula or period-by-period discounting). NPV = $227,448 minus $200,000 = positive $27,448, so the project clears the hurdle. At a 15% discount rate, the present value drops to roughly $201,129 and NPV narrows to just $1,129 -- barely worthwhile. Sensitivity-testing NPV against different discount rates and occupancy assumptions lets operators and their advisors stress-test capital projects before committing, avoiding projects that look attractive only under optimistic assumptions.
In Short
NPV is a critical metric for investment decision-making, helping businesses determine whether a project or investment will generate a positive return.