The Power of Compound Interest
Albert Einstein reportedly called compound interest "the eighth wonder of the world." Your money earns
returns, and those returns also earn returns—creating exponential growth over time.
The Compound Interest Formula
A = P(1 + r/n)^(nt) + PMT × [((1 + r/n)^(nt) - 1) / (r/n)]
Where:
• A = Final amount
• P = Principal (initial investment)
• r = Annual interest rate
• n = Compounding frequency per year
• t = Time in years
• PMT = Monthly payment
Why Start Early?
$10,000 invested at age 25 with 8% return becomes:
- At age 35: $21,589
- At age 45: $46,610
- At age 55: $100,627
- At age 65: $217,245
Frequently Asked Questions
What is compound interest?
Compound interest is interest calculated on both the initial principal and the accumulated interest from
previous periods. Unlike simple interest (calculated only on the principal), compound interest allows
your money to grow exponentially over time.
How often should interest compound?
More frequent compounding leads to higher returns. Daily compounding yields slightly more than monthly,
which yields more than quarterly. However, the difference is usually small—what matters most is your
interest rate and time invested.
What is the Rule of 72?
The Rule of 72 is a quick way to estimate how long it takes to double your money. Divide 72 by your
annual interest rate. At 8% return, your money doubles in approximately 9 years (72 ÷ 8 = 9).
Why are monthly contributions so powerful?
Regular contributions benefit from dollar-cost averaging (buying more shares when prices are low) and
give each new contribution time to compound. Even small monthly amounts can grow to substantial sums
over decades.