Compound Interest โ Growth Over Time
Calculate your investment's future value with compound interest. Earnings on earningsโthe eighth wonder of the world.
Why This Matters for Your Finances
Why: Compound interest accelerates wealth over time. Start early and contribute regularly.
How: FV = P(1+r/n)^(nt) + PMT ร [((1+r/n)^(nt)โ1)/(r/n)]. Principal + contributions grow with compounding.
- โRule of 72: years to double โ 72 รท rate
- โStart earlyโtime is the key factor
- โMonthly compounding yields more than annual
- โReinvest dividends for maximum growth
Sample Scenarios
Investment Details
โ ๏ธFor educational purposes only โ not financial advice. Consult a qualified advisor before making decisions.
๐ก Money Facts
Rule of 72
โ Doubling
~10yr double
โ Typical
Future value
โ Formula
Compound freq
โ Formula
๐ Key Takeaways
- โข Rule of 72: Years to double โ 72 รท rate (at 7%, double in ~10 years)
- โข Start early: Time is the most powerful factor
- โข Consistency matters: Regular contributions amplify growth
- โข Higher frequency helps: Monthly > annual compounding
- โข Reinvest dividends to maximize compounding
๐ก Did You Know?
๐ How Compound Interest Works
Compound interest means earning returns on your returns. Each period, you earn interest on the principal plus previously earned interest. Formula: FV = P(1 + r/n)^(nt) + PMT ร [((1 + r/n)^(nt) โ 1) / (r/n)] for contributions.
๐ฏ Expert Tips
Start Early
Even small amounts compound dramatically over decades.
Increase Contributions
Raise savings rate with raisesโavoid lifestyle creep.
Maximize Tax-Advantaged
401(k), IRA, HSA grow tax-free or tax-deferred.
Reinvest Dividends
DRIP (dividend reinvestment) accelerates compounding.
โ๏ธ Rule of 72 (Years to Double)
| Rate | Years to Double |
|---|---|
| 4% | ~18 years |
| 6% | ~12 years |
| 7% | ~10.3 years |
| 8% | ~9 years |
| 10% | ~7.2 years |
โ Frequently Asked Questions
What is the difference between simple and compound interest?
Simple: interest only on principal. Compound: interest on principal + prior interest. Compound grows faster.
Does compounding frequency matter much?
Yes, but diminishing returns. Monthly vs annual: small difference. Daily vs monthly: minimal.
What is APY vs APR?
APR = stated rate. APY = effective rate after compounding. APY is higher.
How do I maximize compound growth?
Start early, contribute regularly, reinvest dividends, use tax-advantaged accounts.
๐ By the Numbers
๐ Sources
โ ๏ธ Disclaimer: This calculator provides estimates. Actual returns will vary. Past performance does not guarantee future results.