Compound Interest Calculator
Calculate how your investments grow over time with the power of compounding.
How compound interest works
Compound interest is one of the most powerful forces in personal finance. Unlike simple interest — which only earns returns on your original principal — compound interest earns returns on both your principal and your accumulated interest. This creates exponential growth over time, which is why financial advisors universally emphasize starting to invest as early as possible.
The formula is straightforward: A = P(1 + r/n)^(nt), where P is your principal, r is the annual interest rate, n is the number of compounding periods per year, and t is time in years. This calculator assumes monthly compounding, which is standard for most investment accounts.
The power of time
An investor who puts $5,000/year into an index fund starting at age 25 and stops at 35 (10 years) will typically end up with more money at 65 than someone who invests $5,000/year from 35 to 65 (30 years) — thanks to one extra decade of compounding. Time is more valuable than the amount invested.
What return rate to expect
The S&P 500 index has historically returned ~10% per year nominally, or about 7% after inflation. A conservative long-term planning rate of 6–7% is used by most financial planners. For bonds or savings accounts, use 3–5%. For aggressive all-equity portfolios, 8–10% may be realistic.
Why monthly contributions matter
Your monthly contribution is often more impactful than your initial investment, especially over long time horizons. Adding $500/month to a $0 starting balance at 7% for 30 years yields about $567,000. The same $500/month for 40 years yields over $1.3 million — more than double, from just 10 extra years. This demonstrates why starting early and being consistent beats investing large lump sums later.
Compound interest vs. simple interest
Simple interest pays a fixed percentage on the original principal every period. If you invest $10,000 at 7% simple interest for 30 years, you earn $21,000 in interest. With compound interest at the same rate, you earn over $66,000 — more than three times as much — because each year's interest becomes part of the principal that earns next year's interest.
Frequently asked questions
Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods. It causes your investment to grow exponentially rather than linearly. The more frequently interest compounds (daily, monthly, annually), the faster your money grows.
More frequent compounding yields slightly more. Daily compounding produces marginally more than monthly, which produces more than annual. However, for long-term investing in index funds and ETFs, the difference between daily and monthly compounding is minimal. Most brokerage accounts and ETFs effectively compound continuously through reinvested dividends and price appreciation.
The U.S. stock market (S&P 500) has historically returned about 10% annually on average before inflation, or roughly 7% after inflation. High-yield savings accounts currently offer 4–5%. Bonds typically return 3–5%. For retirement planning purposes, using 6–7% is a conservative, commonly accepted assumption for a diversified investment portfolio.
It depends on your starting amount, monthly contributions, and rate of return. As an example: investing $10,000 initially plus $500/month at 7% annual return for 30 years would grow to approximately $567,000 — with only $190,000 contributed and over $377,000 in pure compound growth. Use the calculator above to model your specific scenario.
The Rule of 72 is a quick mental math shortcut to estimate how long it takes to double your money. Divide 72 by your annual interest rate. At 7% returns, your money doubles approximately every 72 ÷ 7 = 10.3 years. At 10%, it doubles every 7.2 years. This rule works reasonably well for rates between 6% and 10%.