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Future Value Calculator

Computes the future value of a present lump sum and, optionally, of a level payment made every compounding period (ordinary annuity or annuity due) at a constant rate.

When to use

You need the textbook FV of a single amount and/or a series of equal payments, e.g. for finance coursework, retirement projections or comparing investment options.

Do not use when: Payments are monthly while interest compounds at another frequency (use compound-interest), or you need to discount a future amount to today (use present-value).

Formula

i = annual_rate_percent/100 / n_per_year; n = n_per_year × years; FV = present_value × (1 + i)^n + periodic_payment × ((1 + i)^n − 1) / i × (1 + i if payment_timing = beginning); with i = 0 the annuity part is periodic_payment × n

Inputs

Parameter	Type	Unit	Required	Description
`present_value`	number		yes	Lump sum invested today (0 if only payments are made). Range: ≥ 0, ≤ 1000000000000
`annual_rate_percent`	number	%	yes	Nominal annual rate in percent; divided by the number of periods per year. Range: ≥ 0, ≤ 100
`years`	number	years	yes	Investment horizon in years. Range: > 0, ≤ 200
`compounding_frequency`	enum: annually \| semiannually \| quarterly \| monthly \| weekly \| daily		default annually	Compounding periods per year; payments (if any) are made once per period.
`periodic_payment`	number		default 0	Equal payment made every compounding period (e.g. per month when compounding_frequency=monthly). Range: ≥ 0, ≤ 1000000000
`payment_timing`	enum: end \| beginning		default end	Whether payments occur at the end or the beginning of each period.

Outputs

Output	Type	Unit	Description
`future_value`	number		Total value at the end of the horizon.
`future_value_of_lump_sum`	number		present_value × (1 + i)^n.
`future_value_of_payments`	number		Annuity part of the future value.
`total_paid_in`	number		present_value + periodic_payment × n.
`total_interest`	number		future_value − total_paid_in.
`number_of_periods`	number		n = periods per year × years.
`periodic_rate_percent`	number	%	i = annual rate / periods per year.

Example

1,000 at 8 % for 10 years, annual compounding: {"present_value":1000,"annual_rate_percent":8,"years":10,"compounding_frequency":"annually"} → {"future_value":2158.92,"future_value_of_lump_sum":2158.92,"future_value_of_payments":0,"total_interest":1158.92,"number_of_periods":10}

200 per month at 6 % for 5 years, no lump sum: {"present_value":0,"annual_rate_percent":6,"years":5,"compounding_frequency":"monthly","periodic_payment":200} → {"future_value":13954.01,"total_paid_in":12000,"total_interest":1954.01,"number_of_periods":60}

GET https://tttkmbb.com/api/v1/calculate/future-value?present_value=1000&annual_rate_percent=8&years=10&compounding_frequency=annually

Machine access

API: GET https://tttkmbb.com/api/v1/calculate/future-value (query parameters) or POST with a JSON body {"inputs": {...}}
Schema: https://tttkmbb.com/api/v1/calculators/future-value · Markdown: https://tttkmbb.com/finance/future-value.md · JSON definition: https://tttkmbb.com/finance/future-value.json
MCP: server https://tttkmbb.com/mcp, tool run_calculator with calculator_id="future-value"
OpenAPI operationId: calculate_future_value
Freshness: static. Authentication: none. Rate limit: fair use (see rate limits).

Sources

Investopedia – Future Value (FV): Formula and Calculation (reference)
Wikipedia – Future value (reference)

FAQ

When is an annuity due appropriate?

When each payment is made at the start of the period (rent, lease and many savings plans). It earns one extra period of interest, so FV is multiplied by (1 + i).

Can I use a real (inflation-adjusted) rate?

Yes: enter the real rate and the result is in today's purchasing power. Do not mix a nominal rate with inflation-adjusted payments.

Related calculators

Present Value Calculator — The inverse: discount a future amount to today.
Compound Interest Calculator — Balance projection with monthly deposits at any compounding frequency.