FinanceCalcs
Present Value Calculator
Find out what a future sum of money — or a stream of payments — is worth in today's dollars, given a specific discount rate and time horizon.
Works for lump sums, annuities, and perpetuities — with a year-by-year discounting table and chart.
Present Value Calculator
Present Value: $0
- Future Value
- Present Value (Discounted)
"A dollar today is worth more than a dollar tomorrow."
— Fundamental Principle of Finance
How present value works
Present value (PV) is the current worth of a future sum of money, given a specific rate of return. It answers the question: "How much would I need to invest today, at a given rate, to end up with a specific amount in the future?" — or conversely, "What is a future payment actually worth to me right now?"
The formula is the inverse of future value: PV = FV ÷ (1 + r/n)^(n×t). The higher the discount rate or the longer the time horizon, the lower the present value — because money has more time and opportunity to grow, making future dollars worth less relative to today's.
For an annuity (a series of equal payments), the present value is the sum of each payment discounted back individually. This is how bonds, mortgages, leases, lottery payouts, and retirement income streams are valued — converting a series of future cash flows into a single comparable number in today's dollars.
lightbulb Example Present Value Scenarios
Lump sum: You will receive $50,000 in 10 years. At a 6% discount rate, that payment is worth only $27,920 today — because $27,920 invested now at 6% would grow to $50,000 in 10 years.
Annuity: You are offered $1,000/month for 20 years. At a 5% discount rate, the present value of that payment stream is approximately $151,500 — the lump sum equivalent today.
Decision making: If someone offers you $100,000 today or $150,000 in 8 years, which is better? At a 6% discount rate, $150,000 in 8 years has a present value of about $94,100 — meaning the $100,000 today is actually worth more.
Present value is used by investors, analysts, and individuals to compare cash flows across time, evaluate investment opportunities, and make more informed financial decisions.
Present Value Calculator FAQs
What discount rate should I use?
The discount rate represents the opportunity cost of your capital — what you could reasonably earn by investing elsewhere at a similar risk level. Common choices include the expected return of a comparable investment (e.g., 7% for a diversified stock portfolio), the risk-free rate (e.g., current Treasury yields), or your personal required rate of return. Higher-risk cash flows warrant higher discount rates.
What is the difference between present value and net present value?
Present value is the discounted worth of a single future cash flow or payment stream. Net present value (NPV) is the sum of the present values of all future cash flows minus the initial investment cost. A positive NPV means the investment creates value above your required return; a negative NPV means it does not meet your threshold.
How is present value used in real life?
Present value calculations appear in bond pricing (discounting future coupon and principal payments), mortgage analysis (converting a payment stream into a loan amount), lease vs. buy decisions, lottery payout comparisons (lump sum vs. annuity), pension valuation, and any situation where you need to compare money received at different points in time on an equal footing.
What is the present value of a perpetuity?
A perpetuity is a payment stream that continues indefinitely — no end date. Its present value has a simple formula: PV = Payment ÷ Discount Rate. For example, a perpetuity paying $1,000/year at a 5% discount rate has a present value of $20,000. This formula is used to value certain preferred stocks and income-producing real estate.
Present value terminology
Discount Rate
The interest rate used to reduce a future cash flow to its present value. Reflects the opportunity cost of capital — what you could earn by investing elsewhere at a comparable risk level. A higher discount rate produces a lower present value.
Net Present Value (NPV)
The sum of the present values of all future cash flows from an investment, minus the initial cost. A positive NPV indicates the investment creates value above your required return; a negative NPV means it falls short.
Annuity
A series of equal periodic payments over a set number of periods. A mortgage, pension, or lease payment stream is an annuity. The PV of an annuity converts that payment stream into a single equivalent lump sum in today's dollars.
Perpetuity
An annuity with no end date — payments continue indefinitely. The present value of a perpetuity is simply: PV = Payment ÷ Discount Rate. Used to value certain preferred stocks and real estate income streams.
Time Value of Money (TVM)
The core financial principle that a dollar received today is worth more than a dollar received in the future, because today's dollar can be invested and earn a return. Present value and future value are both direct applications of this concept.
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