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Time value of money calculator

Compare a sum today with its equivalent future amount under a chosen compounding convention.

Calculator

A model year is 365.25 days; a month is one twelfth of that year.

Present value
$1,000.00
Future value
$1,220.39
Nominal annual rate
10.0000%
Effective annual rate
10.4713%
Elapsed years
2.0000
Total interest
$220.39

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How this calculator works

Money can earn a return over time. This tool translates one balance between two dates using a fixed nominal annual rate and the selected compounding frequency. Its term units convert through a 365.25-day model year. There are no intervening cash flows. The continuous option uses exponential growth instead of discrete interest postings.

Formula

FV = PV x (1 + j/m)^(mt). For continuous compounding, FV = PV x exp(jt). Annual growth log L = m ln(1 + j/m), so PV = FV exp(-Lt).

Worked example

$1,000 at 10% with annual compounding becomes $1,210 in two years. At 0% the same investment remains $1,000 regardless of compounding frequency.

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Frequently asked questions

How do months convert to years?

A model month is one twelfth of a 365.25-day model year.

Can this handle regular deposits?

Use the savings or investment contribution tools for recurring cash flows.

Which rate does the result show?

The nominal rate follows the selected compounding convention. The effective annual rate includes compounding.

Sources

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