Present Value Calculator

Present value is what a future sum of money is worth in today's dollars after discounting it at a chosen rate. It answers the question: how much would you need to invest right now, at this rate, to grow into that future amount? A payment of $10,000 ten years from now is worth less than $10,000 today because the money you hold today can earn returns in the meantime.

A dollar today can be invested to earn a return, so it is worth more than a dollar received in the future. The discount rate captures that opportunity cost, the return you give up by waiting. The further out a payment is, and the higher the rate, the more its present value shrinks.

Use a rate that reflects the best available risk-adjusted alternative. Common choices are roughly 7% (the long-run real US stock-market return) for personal financial planning, your firm's weighted average cost of capital (WACC) for business project analysis, or a current Treasury yield for a risk-free baseline. There is no universal answer, since the right rate depends on the risk of the cash flow you are valuing.

Future value compounds a present sum forward in time; present value discounts a future sum backward. The two formulas are inverses: FV = PV x (1 + r)^n and PV = FV / (1 + r)^n. Use future value when you know what you have today and want to see what it grows to; use present value when you know a future target and want to find what it is worth now.

Add periodic payments whenever the cash flow has multiple components, such as a bond that pays a coupon each period plus a face-value lump sum at maturity, or a lease with regular installments and a buyout at the end. The calculator sums the present value of the lump sum and the present value of the payment stream (ordinary annuity if payments fall at the end of each period, annuity-due if they fall at the start).