Compound Interest Calculator

Plan your investments and watch your money grow over time.

$100 $100,000
$0 $10,000
0% 20%
1 year 50 years
Adjust for inflation

Investment Growth Projection

See how your investment grows over time with compound interest

Total Investment

$34,000

Interest Earned

$13,293

Final Balance

$47,293

Performance Metrics

Return on Investment ? Calculated as: (Final Balance - Total Investments) / Total Investments

Shows your total percentage gain relative to all money invested. This includes both your initial investment and all additional contributions.

39.10%

Total return relative to investment

Annual Growth Rate ? Calculated as: (Final Balance / Initial Investment)^(1/Years) - 1

Represents the consistent rate of return you would need each year to grow from your initial investment to the final amount over the same time period. This is a simplified calculation that treats additional contributions differently than a true time-weighted return.

16.81%

Annualized rate of return

Money Multiplier ? Calculated as: Final Balance / Initial Investment

Shows how many times your initial investment amount has grown. For example, a multiplier of 2.5ร— means your money has grown to 2.5 times its original amount. This metric focuses only on the initial investment, not additional contributions.

4.7ร—

Multiple of initial investment

Wealth Ratio ? Calculated as: Interest Earned / Final Balance

Shows what proportion of your final balance comes from compound interest rather than your contributions. A higher ratio means your money is working harder for you.

28.11%

Proportion from investment growth

Time to Double ? Calculated using the Rule of 72: 72 / Interest Rate(%)

The Rule of 72 is a simplified way to determine how long an investment will take to double at a fixed annual rate of return. When adjusted for inflation, it uses the real interest rate (nominal rate minus inflation rate).

14.4 years

Years to 2x initial investment

Time to 10ร— ? Calculated using a modification of the Rule of 72: ln(10)/ln(1+r) where r is the annual rate as a decimal

This estimates how many years it will take for your investment to multiply by 10 at the given interest rate. When adjusted for inflation, it uses the real interest rate (nominal rate minus inflation rate).

47.2 years

Years to 10x initial investment

Year-by-Year Breakdown

Year Starting Balance Contributions Interest Earned Ending Balance
Year 1 $10,000 $2,400 $565 $12,965
Year 2 $12,965 $2,400 $713 $16,078
Year 3 $16,078 $2,400 $869 $19,347
Year 4 $19,347 $2,400 $1,032 $22,780
Year 5 $22,780 $2,400 $1,204 $26,383
Year 6 $26,383 $2,400 $1,384 $30,168
Year 7 $30,168 $2,400 $1,573 $34,141
Year 8 $34,141 $2,400 $1,772 $38,313
Year 9 $38,313 $2,400 $1,981 $42,694
Year 10 $42,694 $2,400 $2,200 $47,293

Investment Tips

  • Start early: The power of compound interest is greatest over longer time periods.
  • Regular contributions: Adding even small amounts regularly can significantly boost your returns.
  • Diversify: Spread your investments across different assets to manage risk.
  • Be patient: Investment growth often accelerates in later years due to compounding.

Understanding Compound Interest

The eighth wonder of the world that can transform your financial future

What Is Compound Interest?

Compound interest is interest on interest - when your earned interest is added to your principal, so that future interest is earned on the combined amount.

Unlike simple interest (which is only calculated on the original principal), compound interest accelerates your wealth growth over time by continuously adding interest earnings to your investment base.

"Compound interest is the eighth wonder of the world. He who understands it, earns it; he who doesn't, pays it."

โ€” Albert Einstein
Year 1
$1,000
$50
Year 2
$1,050
$52.50
Year 3
$1,102.50
$55.13
Principal + Previous Interest
New Interest (5%)

The Compound Interest Formula

A = P(1 + r/n)nt

A = Final amount
P = Principal (initial investment)
r = Annual interest rate (decimal)
n = Compounding frequency per year
t = Time in years

With periodic contributions, the formula becomes more complex. That's why a calculator like the one above is so valuable - it handles all the mathematical complexity for you!

The Rule of 72

72
Rate %
=
Years to Double

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest.

72 รท 4% = 18 years
An investment with 4% annual return takes approximately 18 years to double
72 รท 8% = 9 years
An investment with 8% annual return takes approximately 9 years to double
72 รท 12% = 6 years
An investment with 12% annual return takes approximately 6 years to double

The Power of Compounding Visualization

$10,000 initial investment at 7% annual return
10 Years
$19,672
20 Years
$38,697
30 Years
$76,123
40 Years
$149,745

Exponential Growth

Notice how the growth accelerates over time. The increase from years 30-40 is nearly equal to all previous growth combined!

Patience Pays Off

In the first decade, you only gain about $9,600. But by holding for 40 years, you've earned nearly $140,000 in interest - 14 times your initial investment.

Time Beats Rate

A lower return over a longer period often outperforms a higher return over a shorter period. Consistency and time are your biggest allies.

"The greatest shortcoming of the human race is our inability to understand the exponential function." โ€” Albert Bartlett, Physicist

The Power of Time: Start Early

Early Investor (Sarah)

  • Invests $200/month from age 25-35
  • Total invested: $24,000
  • Stops investing at age 35
  • 7% average annual return
  • By age 65: $338,596

Late Investor (Michael)

  • Invests $200/month from age 35-65
  • Total invested: $72,000
  • Invests 3ร— more than Sarah
  • 7% average annual return
  • By age 65: $271,826

Sarah invested for just 10 years but ended up with more money than Michael who invested for 30 years!

This demonstrates why starting early is one of the most powerful financial strategies.

Compound Interest vs. Simple Interest

Simple Interest Compound Interest
Interest Calculated On Original principal only Principal + accumulated interest
Growth Pattern Linear (steady) Exponential (accelerating)
Example $1,000 at 5% for 10 years = $1,500 $1,000 at 5% for 10 years = $1,629
Common Uses Some loans, bonds Savings accounts, investments
Long-term Impact Modest Potentially dramatic

Real-World Applications

Retirement Savings

Retirement accounts, pension schemes, and superannuation funds rely on compound interest to grow your savings over decades. Even small regular contributions can grow substantially by retirement age.

Education Funds

Education investment accounts and dedicated savings plans use compound growth to help parents save for their children's future educational needs, from primary school to university.

Mortgage Loans

Unfortunately, compound interest works against you with debt. Mortgage payments are structured to pay interest first, which is why early payments have less impact on the principal.

Credit Card Debt

Credit cards often compound interest daily at high rates (often 15-25%). This is why credit card debt can spiral out of control so quickly.

Frequently Asked Questions

How often does interest compound in most investments?

It varies by financial product. Savings accounts typically compound daily or monthly. Investment accounts often compound quarterly or annually. CDs may compound daily, monthly, or at maturity.

Does inflation affect compound interest?

Yes. Inflation reduces the purchasing power of money over time. To account for this, investors should look at the "real return rate" (nominal interest rate minus inflation rate). Our calculator includes an inflation adjustment option.

Why does compound interest seem to have little effect in the early years?

Compound interest creates an exponential growth curve. In early years, the interest-on-interest effect is small because the accumulated interest is small. As your balance grows, the compounding effect becomes more powerful.

What's the most important factor in compound growth: interest rate, time, or contribution amount?

Time is generally the most powerful factor, which is why starting early is so important. That said, all three elements matter significantly. Using our calculator, you can experiment with different combinations to see their relative impact.