Compound Interest Explained: How to Grow Your Savings

Compound interest creates an exponential growth curve that can transform modest savings into significant wealth.

Simple vs Compound Interest

On $10,000 at 7% for 30 years: simple = $31,000. Compound = $76,123. The difference is $45,123 — more than 4x your original investment, just from compounding.

The Formula

A = P x (1 + r/n)^(n x t). Where P = principal, r = annual rate, n = compounding frequency, t = years.

The Rule of 72

Divide 72 by your annual rate to estimate years to double: 6% = 12 years, 8% = 9 years, 10% = 7.2 years.

Start Early vs Start Late

Person A: $200/month from 25-35 (10 yrs, $24K). Person B: $200/month from 35-65 (30 yrs, $72K). At 8%: Person A ends with $349,397 vs Person B's $299,740. Starting early beats investing more.

Strategies to Maximize Growth

• Start now — time is your biggest asset
• Automate contributions
• Reinvest dividends
• Use tax-advantaged accounts (401k, IRA)
• Avoid high-fee funds (1% fee = 25%+ lost returns over 30 yrs)