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Compound Interest & Wealth Growth Calculator

Computes future investment wealth with compound interest and recurring contributions across customizable frequencies.

Exponential Wealth Accumulator

Compound Interest Calculator

Simulates compound investment growth with initial principal and recurring periodic deposits across customizable compounding frequencies.

Quick Rates:
Starting balance
APY: 7.23%
180 months
Recurring cash
Frequency n
Wealth Trajectory: Principal Deposits vs Cumulative Compound Interest$107,730Deposits: $55,000Year 0Year 7.5Year 15Ending Wealth (Compound Growth)Your Cash Deposits
Total Ending Portfolio Wealth
$107,730.04
Wealth Multiplier: 1.96× original capital invested
Total Cash Deposited$55,000$10,000 init + $45,000 monthly
Total Compound Interest Earned+$52,730.0448.9% of total balance is pure interest!
Rule of 72 Doubling Time9.9 YearsRule of 72 est: 10.3 yrs
Step-by-Step Actuarial Compounding Equations

Ending FV = P(1 + r/n)^(nt) + PMT[((1 + r/12)^(12t) - 1) / (r/12)]

Principal Component: $10,000 → $28,489 | Recurring Deposits: $45,000 → $79,241

Effective Annual Yield (APY) = (1 + r/n)ⁿ - 1 = 7.23%

What is Compound Interest?

Compound interest is the interest calculated on the initial principal, which also includes all of the accumulated interest from previous periods.

Often called the "eighth wonder of the world," compounding accelerates wealth growth exponentially over time.

Formula & Step-by-Step Calculation

A = P(1 + r/n)^(nt) + PMT × [ ((1 + r/k)^(kt) - 1) / (r/k) ]

Compound principal and future value of regular periodic deposits.

Worked Step-by-Step Examples

Example 1

$10,000 initial investment at 7% annual interest for 10 years with $100/mo contribution

Solution: $36,984.77 Total Balance ($17,390.83 in pure interest)
• Principal growth = $19,671.51; Contribution growth = $17,313.26; Total = $36,984.77

Common Real-World & Academic Use Cases

  • ✓ Retirement 401(k) / Roth IRA long-term planning
  • ✓ College fund savings projections
  • ✓ Comparing compounding frequencies across savings accounts

How to Use the Compound Interest & Wealth Growth Calculator

1

Enter Principal & Rate

Input your starting amount and expected annual rate of return.

2

Set Contributions & Time

Input monthly savings and investment duration in years.

3

View Ending Balance

Inspect total wealth and interest earned.

Frequently Asked Questions

Q: What is the Rule of 72?

A quick mental shortcut: divide 72 by the annual interest rate to find the approximate number of years required for your money to double (e.g. 72 / 7% ≈ 10.3 years).

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