What this calculator includes
- Starting balance plus annual, quarterly or monthly fixed nominal contributions.
- Nominal/effective annual-rate choice, independent compounding and payment timing.
- Ending nominal value, contribution total, growth and inflation-adjusted ending value.
- Three user-assumption rate scenarios, accessible chart and period schedule.
- Local schedule CSV, currency labels without conversion and print-friendly results.
How to use the Future Value calculator
- Enter current principal, fixed deposit per selected payment period and horizon in whole months. Zero is a deliberate absent amount; blank is incomplete.
- Choose annual, quarterly or monthly contributions. Annual payments require whole years, quarterly payments whole quarters.
- Select effective annual or nominal annual rate. With nominal rates, select the compounding frequency; the tool converts to a matching payment-period rate.
- Choose beginning or end deposits. Add an inflation assumption and compare the three editable annual-rate scenarios.
- Review the schedule, growth chart and assumptions; download the CSV or print the scenario.
Future value formula with recurring contributions
Let PV be starting principal, PMT each equal deposit, n the number of contribution periods and i the matching effective period rate. End-period FV = PV(1+i)^n + PMT[(1+i)^n − 1]/i. Beginning deposits multiply only the contribution term by (1+i). At i = 0 the expression becomes PV + PMT × n.
For nominal annual rate j with m compounds/year and p contributions/year, i = (1+j/m)^(m/p) − 1. For effective annual R, i = (1+R)^(1/p) − 1. The displayed effective period rate and formula substitution show the selected basis.
Check lump-sum, deposit and timing examples
| Case | Inputs | Ending value |
|---|---|---|
| Lump sum | 10,000, 5% effective annual, 24 months, no deposits | 11,025.00 |
| Zero growth | 1,000 + 100 monthly, 12 months, 0% | 2,200.00 |
| End-year deposits | 0 initial, 1,000 yearly, 24 months, 5% effective | 2,050.00 |
| Beginning-year deposits | Same two deposits at beginning | 2,152.50 |
These examples isolate different inputs; they are not returns achieved by a real business or savings product. Start with a small timeline if your external calculator differs, then check rate convention and deposit count.
Nominal future money versus today’s purchasing power
Inflation-adjusted ending value = nominal ending value ÷ (1+annual inflation)^years. A nominal balance can grow while its purchasing power grows less, stays flat or falls. The calculator keeps fixed nominal deposits; it does not automatically raise them with inflation.
Do not subtract total nominal contributions from the real ending balance and call the result real investment profit: contributions occurred on different dates. A full real-cash-flow comparison would deflate each contribution separately. Fees and taxes require additional assumptions and are excluded here.
Plan a reserve without confusing it with project ROI
A business can use a future-value scenario to explore an equipment replacement reserve from current funds and affordable contributions. Keep the expected replacement price on the same nominal or today’s-money basis as the target comparison.
This does not determine whether equipment improves operating profit or whether payroll can fund early contributions. Project ROI/payback and dated cash forecasts answer those separate questions.
Common future-value calculation mistakes
Using an annual rate as a monthly rate, treating nominal and effective annual rates as equal, adding an extra beginning payment, giving the final ordinary payment a full period of growth and rounding the engine after every display step can all change the result.
A high return input is an assumption, not evidence it can be earned. Keep positive, zero and negative cases visible; compare like cash-flow dates. For product-specific posting or tax treatment, use the actual terms and an appropriately scoped model.
Assumptions and limits
Fixed entered rate and fixed nominal deposits at equal selected intervals; no withdrawals, fees, tax or variable returns. The equivalent-rate convention applies smooth exponential growth between stated compounding dates; actual product posting rules can differ. Whole contribution periods only, up to 1,200 months. Negative valid rates model losses, not negative deposits. Inflation deflates only the ending balance into today’s money. Today’s-money amounts of each historical contribution are not calculated. Rates are illustrative user assumptions, not market quotes, guaranteed returns or investment advice. Inputs remain in this tab; downloads occur only when requested. Currency selection relabels values without conversion.
Frequently asked questions
Can I include monthly contributions?
Yes. Choose monthly contributions and enter the amount deposited each month. Contributions remain fixed in nominal money under this model.
What is the difference between nominal and effective annual rates?
A nominal rate needs a stated compounding frequency. An effective annual rate already represents the annual growth factor; the tool converts either to the selected payment interval.
Do beginning contributions earn more?
With a positive rate and the same number of deposits, they earn one extra period of growth. At zero rate they agree; negative rates can reverse the result.
Does this include tax or fees?
No. The calculator excludes tax, fees, withdrawals and changing returns. It does not model account-specific rules such as 401(k) limits.
Why must my horizon match the contribution period?
The schedule models equal whole payment periods. Annual contributions need whole years and quarterly contributions whole quarters; no fractional final payment is invented.
Are the three scenarios probabilities?
No. They are user-entered annual-rate assumptions with the other inputs unchanged, not confidence intervals, recommended returns or forecasts.
Method references
Check payment dates before committing a reserve
A future balance does not establish that today’s payroll and supplier bills can fund each contribution.
Open the dated cash forecastExplore Pro plan comparisonsPublished by MyBreakeven. Method and examples checked . Business calculation methodology · Check scope and corrections.