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Calculator Answers

Present Value Calculator

Blake Boege
Written by Blake Boege · Founder, Calculator Answers

A present value calculator is a financial tool that determines the current worth of a future cash flow or lump sum, based on a specific discount rate. Operating on the principle of the time value of money, it discounts future cash back to the present day using the formula PV = FV / (1 + r)^n. This calculation helps investors and businesses evaluate the profitability of future returns relative to current capital requirements. It is widely used in capital budgeting, loan analysis, and investment valuation to compare the current value of competing financial options.

Enter a future lump sum, a discount rate, and a number of years. The calculator returns the present value, the discount factor, and the total discount (FV minus PV).

See also: Future Value Calculator and Lottery Annuity Calculator.

Quick Answer

Calculate the current worth of a future sum of money given a specific discount rate and time period.

$

The lump sum you will receive (or owe) in the future. · e.g. 10,000

%

Annual rate used to discount future dollars to today. · e.g. 5

e.g. 10

What is present value?

Present value is what a future dollar is worth today. Because money can earn a return, $100 received a year from now is worth less than $100 today. The discount rate captures the opportunity cost of waiting.

Educational tool. Not financial or investment advice.

Present value

Present value (today)

$6,139.13

Discount factor 0.613913 at 5% over 10 years.

Future value$10,000.00
Discount rate5%
Years10 yrs
Discount factor (1 + r)^-n0.613913
Present value$6,139.13
Total discount (FV − PV)$3,860.87

PV = FV / (1 + r)^n. Higher rates and longer horizons shrink the present value more aggressively. A 5% rate over 10 years cuts a future dollar to about 61 cents today.

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Examples

$10,000 in 10 years at 5%

PV ≈ $6,139 · discount factor 0.61

$50,000 in 20 years at 7%

PV ≈ $12,917

$1,000 in 30 years at 3%

PV ≈ $412

$25,000 in 5 years at 6%

PV ≈ $18,681

How it works

Present value is the inverse of future value compounding. You divide the future amount by (1 + r)^n to undo the compounding.

Present value · PV = FV / (1 + r)^n

Discount factor · (1 + r)^-n

Total discount · FV − PV

Related money calculators

Disclaimer. Finance estimate only. The discount rate should reflect your alternative use of money and the risk of the cash flow. Not financial or investment advice.

Related Calculators

More tools from Money

Future Value CalculatorCalculate the future value of a lump sum, the future value with periodic payments, or the time needed to grow a present value to a target future value. Works as a future value calculator, fv calculator, lump sum future value calculator, future value with payments calculator, investment future value calculator, and finance calculator, with the future value formula and a worked breakdown for each mode. Useful for any present value to future value question and for understanding the future value of money over time.Lottery Annuity CalculatorTurn an advertised lottery jackpot into its year-by-year annuity payment schedule and estimate what that stream is worth today. Set the number of payments, the annual increase, and your own discount rate.

Frequently asked questions

Present value is what an amount of money in the future is worth today. The idea reflects the time value of money: money you have now can earn a return, so a dollar today is more valuable than a dollar received in the future. The discount rate measures that opportunity cost.

PV = FV / (1 + r)^n, where FV is the future amount, r is the per-period discount rate, and n is the number of periods. The expression (1 + r)^-n is the discount factor; multiply it by the future value to get the present value.

Use the rate that reflects the alternative use of your money. For risk-free comparisons, use the prevailing risk-free rate (Treasury yield). For business projects, use the project's required rate of return or weighted-average cost of capital (WACC). For personal decisions, use the realistic return you would earn elsewhere with similar risk.

Future value asks: if I invest $X today at rate r, how much will I have in n years? Present value asks the reverse: if I will receive $Y in n years and could earn rate r, what is that worth to me today? FV = PV × (1+r)^n; PV = FV / (1+r)^n.

Anywhere a future cash flow needs to be compared to a present cost: bond pricing, capital budgeting (NPV), retirement planning, loan analysis, settlement valuation, and discounted cash flow valuation. It is one of the most fundamental tools in finance.