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Savings Goal & Compound Interest Calculator

Forecast compound interest growth from initial deposits and monthly savings additions.

Quick Answer:Compound interest earns interest on prior interest, accelerating wealth accumulation when paired with consistent recurring monthly deposits.
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How to Use the Savings Calculator: Compound Interest & Monthly Growth

  1. 1Enter your initial starting deposit amount.
  2. 2Input your recurring monthly contribution.
  3. 3Specify the annual interest rate (APY) paid by your bank or fund.
  4. 4Set your savings duration in years to see your projected final balance and total interest earned.

Formula & How It Works

Compound Interest with Monthly Additions

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

Calculates future balance with periodic compounding and continuous payments.

Worked Examples

$5,000 Starting with $400/Month at 5.0% APY

Input: Initial: $5,000, Monthly: $400, Rate: 5.0%, Duration: 10 Years

Explanation: Depositing $53,000 total principal earns over $17,400 in pure compound interest over a decade.

Result: Final Balance: ~$70,450 (Total Interest: ~$17,450)

Frequently Asked Questions

What is the difference between APR and APY?▼

APR is the simple annual interest rate without compounding; APY (Annual Percentage Yield) reflects the true annual return including the effect of compounding.

How often do high-yield savings accounts compound interest?▼

Most high-yield savings accounts compound interest daily and credit the earnings to your account balance monthly.

Is interest earned in a savings account taxable?▼

Yes. Bank interest is taxed at ordinary federal and state income tax rates, and banks issue Form 1099-INT for interest exceeding $10.

How fast does money double at 5% interest?▼

By the Rule of 72, dividing 72 by 5 yields approximately 14.4 years for your money to double without additional contributions.

Quick Reference & Conversion Table

Monthly Deposit5 Years (5% APY)10 Years (5% APY)20 Years (5% APY)
$200/mo$13,601$31,057$82,207
$500/mo$34,003$77,641$205,516
$1,000/mo$68,006$155,282$411,034
$2,000/mo$136,012$310,565$822,067

⚠️ Common Pitfalls to Avoid

  • •Keeping long-term savings in traditional checking or low-yield accounts earning 0.01% APY instead of 4% to 5% HYSAs.
  • •Forgetting that bank interest income is taxable as ordinary income in the year received.

💡 Practical Real-World Uses

  • •Planning down payments for home purchases or major vehicle upgrades.
  • •Targeting college education savings and emergency safety cushion milestones.
Last reviewed & updated: 2026-11-11
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