What is Present Value (PV)?
Present value is the current value of a future cash flow discounted at your required rate of return, reflecting the time value of money and risk. In corporate finance, PV underpins discounted cash flow (DCF), net present value (NPV), bond valuation, and decisions about whether a project, contract, or financing arrangement actually meets the firm’s cost of capital and contributes to shareholder value.
Formula
For a single future cash flow with periodic compounding:
Where:
- PV = present value today
- FV = future value (cash flow received in the future)
- r = annual discount rate (required return, cost of capital, or hurdle rate)
- m = compounding periods per year (1 = annually, 4 = quarterly, 12 = monthly, etc.)
- t = number of years until the cash flow is received
When you evaluate multiple cash flows in a DCF or NPV model, you discount each cash flow back to today using the same structure and sum their present values.
Example
A company expects to receive a single cash inflow of $10,000 in 5 years from a long-term customer contract. The finance team uses a 5% annual discount rate, compounded annually, aligned with the firm’s weighted average cost of capital (WACC) for cash flows with similar risk.
Using the formula:
Interpretation: a future payment of $10,000 in 5 years has a present value of about $7,835 at a 5% discount rate. In capital budgeting terms, the firm should be indifferent between receiving $7,835 today or $10,000 in 5 years, assuming the discount rate accurately reflects opportunity cost and risk; any project requiring less than $7,835 today for that future payoff would add value, while one requiring more would destroy value.