Calculate the present value of a future sum or annuity stream. Discount future cash flows to today using any rate and time period.
Present value (PV) answers the question: what is a future amount of money worth in today's dollars? By discounting future cash flows at an appropriate rate, you can determine their current equivalent. This is the cornerstone of all financial valuation — from pricing bonds and stocks to evaluating business investments.
This calculator computes the present value of a single future lump sum, a series of equal payments (annuity), or both combined. It supports multiple compounding frequencies and ordinary annuity vs annuity due modes.
Whether you are evaluating a lottery payout, comparing settlement offers, or analyzing an investment that promises future returns, present value tells you what those future dollars are actually worth today. Present value calculations underpin virtually every area of finance, from bond pricing and mortgage valuations to retirement planning and lawsuit settlements. Understanding how discounting works allows you to make fair comparisons between cash flows that arrive at different times.
A dollar today is worth more than a dollar tomorrow because of the opportunity to invest it. Present value quantifies exactly how much more. Without this calculation, you cannot make rational comparisons between cash flows occurring at different times. This capability is especially critical when evaluating structured settlements, annuity buyouts, or any scenario where you must choose between money now and money later.
PV of lump sum: PV = FV / (1 + r/n)^(n*t). PV of ordinary annuity: PVA = PMT x [1 - (1+r/n)^(-n*t)] / (r/n). PV of annuity due: PVA_due = PVA x (1+r/n). Total PV = PV_lump + PVA.
Result: Present Value: $41,727
A payment of $100,000 in 15 years at a 6% annual discount rate has a present value of $41,727. That means if you invested $41,727 today at 6%, you would have exactly $100,000 in 15 years. The $58,273 difference is the time value of money — the cost of waiting.
Present value is not just for finance professionals. Every time you choose between paying cash today or financing over time, you are implicitly making a present value decision. A car dealer offering 0% financing for 60 months is giving you a gift — the present value of those payments is less than the cash price.
Every investment decision comes down to comparing the present value of expected future cash flows against the cost of the investment. If PV of cash flows exceeds the cost, the investment creates value. If not, you are better off with alternatives. This principle underlies discounted cash flow (DCF) valuation, NPV analysis, and bond pricing.
Small changes in the discount rate have large effects on present value, especially over long periods. A $1 million payment in 30 years is worth $231,000 at 5%, $174,000 at 6%, and $131,000 at 7%. This sensitivity is why choosing the right discount rate is one of the most important decisions in financial analysis.
It depends on the context. For personal finance, use your expected investment return (7-10% for stocks). For corporate projects, use the company WACC. For comparing to safe alternatives, use the risk-free rate (Treasury yield). Higher-risk cash flows require higher discount rates.
They are inverses. Future value compounds a present amount forward in time; present value discounts a future amount backward. PV = FV / (1+r)^n and FV = PV x (1+r)^n are mirror formulas.
A higher discount rate means you require a greater return for waiting. The more you demand for the time value of money, the less a future payment is worth today. At an infinite rate, any future payment has zero present value.
Absolutely. If you win $1 million paid over 20 annual installments of $50,000, the present value at a 5% discount rate is roughly $623,000. This explains why lottery lump-sum options are always less than the advertised jackpot.
Nominal present value uses the stated discount rate. Real present value adjusts for inflation by using the real rate (approximately nominal rate minus inflation). Real PV tells you the purchasing power equivalent in today's dollars.
A bond price is the present value of all its future cash flows — coupon payments and face value at maturity — discounted at the market interest rate. When market rates rise, present values fall, and so do bond prices.