Savings & InvestingExponential Growth

Compound Interest Calculator

Forecast the long-term future value of your initial investment and monthly recurring contributions across various compounding frequencies and assumed return rates.

Investment Parameters

Customize your principal, recurring deposits, and growth assumptions

$

Starting lump-sum principal amount.

$

Regular recurring deposit made at the end of each month.

%

Change this assumption to see how the projected value changes.

Frequency interest is credited.

Total investment timeframe in years.

Compound Growth Summary

Projected future portfolio value & growth composition

Projected
Projected Future Value
$106,639.02
After 10 years at 7% assumed annual rate (monthly)

Contribution vs. Growth Breakdown

Initial Investment$10,000.00
+ Monthly Contributions (120 mos)+$60,000.00
Total Principal Invested (65.6%)$70,000.00
+ Estimated Growth (34.4%)+$36,639.02
= Projected Future Value$106,639.02

* Projections reflect theoretical mathematical growth based on user-supplied parameters. Actual market returns fluctuate and are not guaranteed.

Initial Principal
$10,000.00
Lump sum
Total Contributions
$60,000.00
Over 10 yrs
Total Principal
$70,000.00
Initial + monthly
Estimated Growth
$36,639.02
Compound interest
Duration
10 Years
120 months
Assumed Rate
7%
monthly
Scenario Analysis

What If You Adjust Your Strategy?

Compare your current baseline projection against alternative contributions, rates, and time horizons.

Try a scenario preset:
Baseline Strategy
$106,639.02
Total Contributions: $70,000.00
Estimated Growth: $36,639.02
Alternative Scenario
$123,947.50
Total Contributions: $82,000.00
Estimated Growth: $41,947.50
Difference
+$17,308.48
Contribution Diff: +$12,000.00
Growth Diff: +$5,308.48
FinoQuick Scenario Explorer

What If?

Change an input to see how the result changes.

Accumulation Schedule

Year-by-year and month-by-month breakdown of principal contributions and compound growth

YearStarting BalanceAnnual DepositsEstimated GrowthEnding BalanceCumulative PrincipalCumulative Growth
Year 1$10,000.00+$6,000.00+$919.19$16,919.19$16,000.00$919.19
Year 2$16,919.19+$6,000.00+$1,419.38$24,338.58$22,000.00$2,338.58
Year 3$24,338.58+$6,000.00+$1,955.73$32,294.31$28,000.00$4,294.31
Year 4$32,294.31+$6,000.00+$2,530.85$40,825.16$34,000.00$6,825.16
Year 5$40,825.16+$6,000.00+$3,147.55$49,972.70$40,000.00$9,972.70
Year 6$49,972.70+$6,000.00+$3,808.82$59,781.53$46,000.00$13,781.53
Year 7$59,781.53+$6,000.00+$4,517.90$70,299.43$52,000.00$18,299.43
Year 8$70,299.43+$6,000.00+$5,278.24$81,577.68$58,000.00$23,577.68
Year 9$81,577.68+$6,000.00+$6,093.55$93,671.22$64,000.00$29,671.22
Year 10$93,671.22+$6,000.00+$6,967.79$106,639.02$70,000.00$36,639.02

How Compound Interest Works

Compound interest represents the exponential multiplication of wealth. When capital is invested, growth earned in each cycle is credited back to the principal balance, generating additional interest in subsequent compounding intervals.

1. Mathematical Compounding Formulas

For an initial lump sum, the future value after t years is governed by the standard compounding equation:

A = P × (1 + r ÷ n)n × t
  • A = Projected Future Value
  • P = Initial Principal Investment
  • r = Assumed Annual Interest Rate (as decimal)
  • n = Compounding Periods Per Year (Annual=1, Semi-Annual=2, Quarterly=4, Monthly=12, Daily=365)
  • t = Investment Duration in Years

2. Monthly Recurring Contribution Convention

FinoQuick models monthly contributions as end-of-month deposits and converts the selected annual compounding convention into an equivalent monthly growth rate for the recurring contribution stream:

rmonthly = (1 + r ÷ n)n ÷ 12 - 1

Future contributions compound according to the standard ordinary annuity stream formula:
Acontributions = C × [ (1 + rmonthly)M - 1 ] ÷ rmonthly, where C is the monthly deposit and M is the total number of months.

3. Total Principal vs. Estimated Growth

The total ending balance is the exact sum of your total principal invested (initial investment plus all recurring contributions) and cumulative estimated mathematical growth.

Important Model Disclosures

  • This calculator provides mathematical projections based on the assumptions you enter.
  • Actual investment returns can vary significantly and may be positive or negative over any timeframe.
  • Projected growth is not guaranteed and does not account for investment fees, taxes, or inflation.
  • The calculator is for educational scenario modeling and does not constitute investment advice.

Frequently Asked Questions

Clear answers to common questions about compound interest, compounding frequencies, and return assumptions.

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Educational Context

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