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Time Value of Money Calculator

Solve for future value of an amount plus regular payments at a given rate.

Change any value: results update instantly
Results
Future value$82,704.68
Total paid in$46,000.00
Growth$36,704.68

Please do not make financial decisions based on these results.

What is the Time Value of Money Calculator?

Solve for future value of an amount plus regular payments at a given rate. To use the Time Value of Money Calculator, enter present value, payment per period, rate per year, years, periods per year; it returns future value, total paid in, growth, and shows them instantly as you type.

Time value of money

A dollar today is worth more than a dollar in the future. The present value calculator and the future value calculator translate money across time, and the finance calculator solves any related unknown. Remember that investment returns are never guaranteed.

How to use the Time Value of Money Calculator

  1. Enter your numbers. Start with Present value ($), Payment per period ($), Rate per year (%), then fill in Years, Periods per year. Use a rate of return you consider realistic; small changes compound into large differences. Fields marked optional can stay at zero.
  2. Read the result. The highlighted box gives the Future value, and the cards below show Total paid in, Growth. Tables and charts break it down further.
  3. Test other scenarios. Results update as you type. Change one value at a time to see what drives the answer, and press Reset to go back to the defaults.

Formula and how it works

FV = PV × (1 + r)^n + PMT × ((1 + r)^n − 1) ÷ r.

Example with real numbers

Here is the Time Value of Money Calculator using the default values shown in the calculator above:

Inputs

Present value ($)10,000
Payment per period ($)200
Rate per year (%)6
Years15
Periods per year12

Results

Future value$82,704.68
Total paid in$46,000.00
Growth$36,704.68

With these inputs the calculator returns Future value: $82,704.68. Change any value in the calculator to see how the result moves.

What if you change one input?

Sensitivity check: raising Present value ($) from 10,000 to 12,000 (about 20% higher) and leaving everything else as in the example above changes the results like this:

ResultExampleAfter the changeChange
Future value$82,704.68$87,612.87+5.9%
Total paid in$46,000.00$48,000.00+4.3%
Growth$36,704.68$39,612.87+7.9%

The input that moves the result most is the one to check twice. Change it in the calculator above to test your own case.

What the results tell you

The results panel of the Time Value of Money Calculator reports Future value, total paid in and growth. Compare these figures while changing one input at a time, and use the related calculators below to look at the same situation from another angle.

Method and limits. This calculator applies the formula in the section above to your inputs, in your browser; nothing you enter is stored on our servers. Investment returns are not guaranteed. The result shows what the numbers you enter would produce, not what the market will do. It is for information, not financial, tax or legal advice.

Frequently asked questions

What is the time value of money?

A dollar today is worth more than a dollar later because it can earn a return.

Are investment returns guaranteed?

No. Real returns vary. Use these tools to compare scenarios, not to predict results.

What rate of return should I assume?

There is no guaranteed rate. Test a range of conservative and optimistic rates, and remember that fees and inflation reduce your real return.

Are the results guaranteed?

No. Results depend entirely on the numbers you enter and the formulas shown on this page. Please do not make financial decisions based on them alone; confirm important figures with a licensed professional.

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Disclaimer: Please do not make financial decisions based on these results. These calculators are for general information only. Talk to a licensed professional before making any financial, tax or legal decision. Read the full disclaimer.
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