Compound Interest & Investment Calculator

Compound Interest & Investment Calculator: Applies compound interest formula A = P(1 + r/n)^(nt) + PMT * [((1 + r/n)^(nt) - 1) / (r/n)].

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About this compound interest & investment calculator

Compound Interest & Investment Calculator — browser-based utility.

How this tool works

Calculation and parameter relationship: i=annualRate/(100×frequency); N=years×frequency; FV=principal×(1+i)^N+contribution×((1+i)^N−1)/i

  1. Select “Raw JSON / Advanced” and paste the sample input.
  2. Click “Run locally”.
  3. Compare “Raw Output Data” with the example; revise inputs when an error is shown.

Worked example

Scenario: Compound an initial balance and a periodic contribution over 120 monthly periods.

Sample input:

{"principal":1000,"annualRate":5,"years":10,"frequency":12,"contribution":100}

Processing: Use periodic rate annualRate/(100×frequency), 120 periods, a stable exponential growth calculation, and the annuity contribution formula.

Illustrative output:

{ "principal": 1000, "annualRate": 5, "years": 10, "frequency": 12, "contribution": 100, "finalBalance": 17175.237442257076, "interest": 4175.237442257076 }

Limits and verification

Parameter domains and units: principal,annualRate,years,contribution ≥ 0; frequency ∈ ℤ; frequency ≥ 1; N = years×frequency ∈ ℤ; [annualRate] = %/year. Results use binary64 floating-point numbers unless BigInt is stated. Result cards show up to 10 significant digits; raw output retains the serialized value. A null ratio means the model has no meaningful finite value for that ratio; it is not zero.

Examples demonstrate an expected workflow; they do not prove every input or every branch of an external specification. Check important results with an independent source before using them for money, security, compliance, safety, or irreversible file changes.

Browser processing boundary

Tool input is processed by code running in the browser and is not intentionally sent to a CZOA processing API. The page can still request ordinary site assets, analytics, or advertising when those services are enabled. Browser extensions and managed-device software remain outside this tool's control.

Relevant references

These references govern or help explain the format, protocol, or calculation used here. Listing a reference does not claim certification or complete implementation of every optional feature.

Content owner: CZOA Tools · Last reviewed: 2026-09-15 · Review methodology

How to use it

  1. Select “Raw JSON / Advanced” and paste the sample input.
  2. Click “Run locally”.
  3. Compare “Raw Output Data” with the example; revise inputs when an error is shown.

Frequently asked questions

How does this compound-interest calculator calculate a balance?+

It converts annualRate from percent, compounds principal for frequency × years periods, and adds the future value of contribution each period. A zero rate uses contribution × periods instead of division by the periodic rate.

Which fields can I enter?+

The form and Raw JSON / Advanced mode accept principal, annualRate, years, frequency, and contribution; the verified JSON is {"principal":1000,"annualRate":5,"years":10,"frequency":12,"contribution":100}.

Which limits and interpretation boundaries apply?+

Years multiplied by frequency must be a safe whole number of periods. Values use JavaScript Number binary64. Contributions are modeled once per period by the displayed formula; this is not tax, fee, inflation, or investment-return advice.

What did the verified browser input return?+

In Raw JSON / Advanced mode, the browser run entered principal 1000, annualRate 5, years 10, frequency 12, and contribution 100. The locally computed result was finalBalance 17175.237442257076 and interest 4175.237442257076. It verifies that one end-of-period contribution vector; it does not model taxes, fees, inflation, investment performance, or a real account.