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Time Value of Money Calculator

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Enter a present value, interest rate, term, and an optional periodic contribution to find what your money grows to in the future.

Time Value of Money Calculator

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Future value
$17,908.48
Total contributed
$10,000.00
Total interest earned
$7,908.48
Assumes a fixed rate for the entire term and contributions made at the end of each compounding period - actual investments may have variable rates, fees, or taxes not modeled here.

The formula

Periodic rate = Annual rate / Compounding periods per year Periods = Years x Compounding periods per year Future value of starting amount = PV x (1 + Periodic rate)^Periods Future value of contributions = PMT x [((1 + Periodic rate)^Periods - 1) / Periodic rate] Total future value = Future value of starting amount + Future value of contributions
Example

$10,000 present value, 6% annual rate, compounded annually, over 10 years, with no periodic contribution: periodic rate = 6%, periods = 10 → future value = 10,000 x (1.06)^10 ≈ $17,908.48, meaning about $7,908.48 comes from interest alone.

Step-by-step guide

  1. Enter your present value - the amount you're starting with today. Enter 0 if you only want to project periodic contributions on their own.
  2. Enter the annual interest rate and term in years.
  3. Choose how often interest compounds - more frequent compounding (monthly or daily) grows the balance slightly faster than annual compounding at the same stated rate.
  4. Optionally, enter a periodic contribution added at the end of each compounding period, such as a recurring deposit into a savings or retirement account.

Why this one formula shows up everywhere in finance

The time value of money is the idea that a given amount is worth more today than the same amount in the future, because money in hand today can be invested and earn a return in the meantime. That single idea underlies mortgage payments, loan amortization, retirement projections, bond pricing, and investment return calculations - they're all variations of the same present-value-to-future-value relationship, just applied to a specific product or situation. Learning this one calculator makes it easier to understand why those other calculators work the way they do.

Common mistakes

Mixing up the compounding frequency and the contribution frequency - this calculator applies the periodic contribution at the same frequency as compounding, so switching to monthly compounding also means the contribution field is treated as a monthly amount.
Forgetting that a stated annual rate compounded more frequently than once a year produces a slightly higher effective annual return - the periodic rate used in the math is the annual rate divided by the compounding frequency, not the annual rate applied once regardless of frequency.

Frequently asked questions

Can this calculator solve for the interest rate or the number of years instead?

Not directly - solving for the rate or the number of periods when the future value is already known requires an iterative numerical approximation rather than a straightforward formula. This calculator focuses on the direct, exact calculation: finding the future value from a known present value, rate, term, and contribution.

What's the difference between this and a compound interest calculator?

They're closely related - this one adds the option of a recurring periodic contribution on top of the starting amount, similar to how a retirement account might combine an initial deposit with regular ongoing contributions.

Does this account for inflation?

No - the future value shown is in nominal dollars. If you want to compare against today's purchasing power, you'd separately discount the result by an assumed inflation rate.

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