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Future Value & Present Value Calculator

Move money across time: see what a sum today grows into, or what a future payment is really worth right now.

Think Like a Finance Professor About Money and Time

The Time Value of Money in One Sentence

A dollar today is worth more than a dollar next year, because today's dollar can be invested and become more than a dollar by then. Every financial decision that involves money arriving at different times, from a pension buyout to a "pay now or pay later" offer, comes down to converting all the amounts to the same point in time so they can be compared fairly.

Future value (FV) pushes money forward: what will this amount become? Present value (PV) pulls money backward: what is this future amount worth today? They are the same equation solved in opposite directions, which is why one calculator handles both.

Key Insight: When someone offers you $20,000 in five years, they are really offering you about $15,670 today if you could earn 5% on your money. Whether that is a good deal depends entirely on what they want in exchange right now.

The Four Formulas the Calculator Uses

Future value of a lump sum: FV = PV × (1 + r/n)n×t. Example: $5,000 at 5% compounded annually for 8 years is 5,000 × 1.058 = $7,387.

Present value of a lump sum: PV = FV ÷ (1 + r/n)n×t. Example: $20,000 due in 5 years at 5% is 20,000 ÷ 1.055 = $15,671.

Future value of a series of payments (annuity): FV = PMT × [((1 + i)N − 1) ÷ i], where i is the rate per period and N the number of payments. Example: $200 a month at 7% for 10 years becomes $34,617.

Present value of a series of payments: PV = PMT × [(1 − (1 + i)−N) ÷ i]. This is how a lottery annuity, pension, or structured settlement is valued as a single number today.

If payments land at the beginning of each period instead of the end (an annuity due), multiply the annuity result by (1 + i). The calculator applies that adjustment when you choose "Beginning of period."

Pro Strategy: Always convert the annual rate to a per-period rate before using an annuity formula. A 6% annual rate with monthly payments is 0.5% per period over 120 periods, not 6% over 10.

Choosing the Discount Rate Is the Whole Decision

The rate you plug in is not a guess about the market. It is the return you would actually earn on the money if you had it today, which is why it is called the opportunity cost of capital. Three questions pin it down:

  • Where would the money really go? Paying off a 7% loan means your rate is 7%. Parking it in savings means 4-5%. A diversified stock portfolio means 6-8% over long periods.
  • How certain is the future payment? A government pension deserves a low rate; a promise from a shaky employer deserves a higher one, which makes its present value smaller.
  • What will inflation do? If you are comparing purchasing power rather than dollars, use a real rate (nominal minus inflation), typically 2-4 points lower.

Because the discount rate has so much leverage, never decide on a single number. $100,000 in 10 years is worth $74,110 today at 3% but only $36,941 at 10%. Run the calculator at a low, middle, and high rate and see whether your decision holds across all three.

Reality Check: Anyone selling you a lump sum for your future payments (pension buyout firms, settlement purchasers) chooses a high discount rate because it makes your stream look cheap. Recompute at the rate you could really earn before signing.

Where You Will Actually Use This

Lottery or settlement: lump sum vs. payments. $500,000 a year for 30 years sounds like $15 million, but at a 5% discount rate it is worth about $7.7 million today. If the lump sum on offer is $8 million, the lump sum wins.

Pension buyouts. Employers increasingly offer a one-time payment in place of monthly checks. Discount the monthly stream at a realistic rate and compare it to the buyout. See the Success Story tab for a worked example.

Job offers with deferred money. A $50,000 retention bonus paid in three years is worth about $42,000 today at 6%. Compare that, not the headline number, against a competing offer's immediate signing bonus.

Buy now or later. A $3,000 purchase you can defer two years costs you about $2,670 in today's dollars at 6%. Deferral is worth roughly $330, before considering whether the price itself will change.

Savings targets. Present value in reverse tells you what to set aside today to hit a future number. For ongoing monthly saving toward a goal, our compound interest calculator models the full investment plan.

Compounding Frequency: Real but Small

$10,000 at 6% for 10 years grows to $17,908 with annual compounding, $18,140 quarterly, $18,194 monthly, and $18,220 daily. The jump from annual to daily is about 1.7%, and almost all of it comes from the first step to monthly. Match the frequency to how the account actually credits interest, then stop worrying about it. Rate and time do the heavy lifting.

Avoid These Costly Mistakes

  • ❌ Adding up future payments at face value and calling that their worth
  • ❌ Using an annual rate with monthly periods without dividing by 12
  • ❌ Accepting the discount rate the other side of the deal chose
  • ❌ Comparing a nominal future value to today's prices without adjusting for inflation
  • ❌ Treating a payment at the start of the period as if it arrived at the end
  • ❌ Running the math at one rate and never checking whether the answer flips at another

Your Time-Value Decision Plan

  1. Write down every amount in the decision and the date each one arrives
  2. Pick the point in time you will compare at (usually today)
  3. Choose a discount rate based on where the money would really go
  4. Convert every amount to that single point using FV or PV mode
  5. Re-run at a rate 2 points lower and 2 points higher
  6. Choose the option that wins across the range, not just at one rate

Frequently Asked Questions

Future value is what a sum of money today will be worth at a specific date in the future, assuming it earns a given rate of return. $10,000 earning 6% compounded monthly becomes $18,194 in 10 years. The formula is FV = PV × (1 + r/n)^(n×t), where r is the annual rate, n the compounding periods per year, and t the number of years.
Divide the future amount by (1 + r/n) raised to the total number of compounding periods. $100,000 due in 10 years, discounted at 6% compounded monthly, is worth $54,963 today. That means $54,963 invested now at 6% would grow into the $100,000, so the two amounts are equivalent. Enter the future amount, rate, and years in Present Value mode and the calculator does the division for you.
Use the return you could realistically earn on the money elsewhere, adjusted for how certain the future payment is. For a guaranteed payment, a bond or high-yield savings rate of 4-5% is reasonable. For money you would otherwise invest in a diversified stock portfolio, 6-8% is common. A higher discount rate always makes future money worth less today, so run the calculator at two or three rates and see whether your decision changes.
They are the same math viewed from different angles: compound interest is the growth mechanism, and future value is the resulting total. A compound interest calculator focuses on projecting an investment; a future value calculator is a general decision tool that also runs backwards (present value) to compare money at different points in time. Use this page to compare offers and choices, and our compound interest calculator to model a long-term savings plan.
Less than most people expect: the difference between annual and daily compounding is under 2% of the ending balance over 10 years. $10,000 at 6% grows to $17,908 with annual compounding, $18,194 monthly, and $18,220 daily. The rate and the number of years dominate the result. Compounding frequency only becomes significant on very large balances or very long horizons.
An annuity due is a series of equal payments made at the beginning of each period instead of the end. Rent, lease payments, and many pension checks are annuities due. Because each payment starts earning (or being discounted) one period earlier, an annuity due is worth slightly more than an ordinary annuity with the same payments: exactly one period of interest more. Select "Beginning of period" in the calculator to model it.

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