A dollar in your hand today is worth more than a dollar promised next year — because today's dollar can be put to work. That single idea, the time value of money, sits underneath almost every decision in finance.
Answer first: the time value of money (TVM) is the principle that money available now is worth more than the identical amount in the future, because today's money can be invested to earn a return. As the U.S. Securities and Exchange Commission's investor education arm puts it, "a dollar today is worth more than a dollar tomorrow" — the bedrock reason compound growth works (Investor.gov).
Three forces make future money worth less: you forgo the return you could have earned by investing today; inflation erodes purchasing power over time; and there is risk that the promised future payment never arrives. Put together, they mean any future cash flow must be "discounted" back to a smaller value today.
TVM has two directions, and they are mirror images of the same equation.
Future value (FV) grows a known amount forward: FV = PV × (1 + r)n. At 7% a year, $1,000 today becomes about $1,967 in ten years. Run your own numbers in the future value calculator.
Present value (PV) does the reverse, discounting a future amount back to today: PV = FV ÷ (1 + r)n. That same $1,967 promised in ten years is worth only about $1,000 right now at a 7% discount rate. Try it in the present value calculator.
Why it always balances: growing PV forward and discounting FV back use the same factor, (1 + r)n. That is why the two calculators are two views of one idea — the rate r and the time n are the only levers.
The rate (often called the discount rate or required rate of return) reflects what you could earn elsewhere and how risky the cash flow is. A risk-free benchmark like a U.S. Treasury yield is the starting point; riskier cash flows demand a higher rate. The Federal Reserve publishes Treasury and market interest rates that analysts use as that anchor (Federal Reserve H.15 release). Change the rate and every present and future value changes with it — which is why valuation is always a range, not a single certain number.
Educational, not advice: these formulas assume a constant rate and ignore taxes; real returns vary and the future is uncertain. This page is for learning only and is not financial advice. For official basics, see the U.S. SEC at investor.gov.
Put the theory to work with the future value calculator and present value calculator, see it in action with compound interest, and read about compound growth.
Last updated 25 June 2026 · Written by Mustafa Bilgic. Educational only — not financial advice.
The time value of money is the principle that a sum of money is worth more now than the same sum in the future, because money available today can be invested to earn a return. It is the foundation of present value, future value and nearly all financial valuation.
Because a dollar today can be invested and grow, earn interest, and is not exposed to inflation or the risk that the future payment never arrives. Waiting for money means giving up the return you could have earned in the meantime.
Future value grows a present amount forward: FV = PV × (1 + r)^n. Present value discounts a future amount back: PV = FV ÷ (1 + r)^n. Here r is the rate per period and n is the number of periods. Both come from the same compounding relationship.
It underpins how bonds, annuities, loans and whole companies are valued, and it explains why starting to invest early is so powerful: more time means more compounding, which dramatically increases the future value of the same contribution.