📈 Compound Interest Calculator

Regular investment simulation, visualize compound growth

Parameters

%
Final Balance
$694,709
Total Contributions
$190,000
Total Earnings
$504,709

Frequency Comparison

Annually

$682,561

Int: $492,561

Semi-Annually

$688,966

Int: $498,966

Quarterly

$692,365

Int: $502,365

Monthly

$694,709

Int: $504,709

Daily

$697,693

Int: $507,693

DCA vs Lump Sum

Lump Sum

$1,542,135

All in $190,000

DCA

$694,709

$500/mo × 360 periods

Compound Growth Curve

📐 How It Works

Future Value Formula (FV)

FV = PV × (1 + r/n)^(n×t) + PMT × ((1 + r/n)^(n×t) - 1) / (r/n)

  • PV = Initial Principal
  • PMT = Periodic Contribution
  • r = Annual Rate
  • n = Periods per Year
  • t = Years
Frequency Impact

Higher frequency = faster compounding. 7% APR, $1,000/month, 30 years: Annually $1,212,877, Monthly $1,227,087, Daily $1,232,095. Daily beats Annually by ~$19,218.

❓ FAQ

What is compound interest?

Compound interest is interest earned on both your original principal and accumulated interest. It's often called 'interest on interest' and is key to long-term wealth building.

How often should interest be compounded?

More frequent compounding (daily vs annually) yields slightly higher returns. Monthly compounding is common for most investment accounts.

What is the Rule of 72?

The Rule of 72 estimates how long it takes money to double: Years ≈ 72 ÷ Annual Return (%). At 7%, money doubles in ~10.3 years.

How much difference does starting early make?

Starting 10 years earlier can more than double your final balance. A 25-year-old saving $500/month at 7% will have ~$1.2M by 65; starting at 35 yields only ~$610K.

Should I invest a lump sum or dollar cost average?

Lump sum historically outperforms DCA about 2/3 of the time. But DCA reduces emotional stress and is easier for most people to maintain.

How do fees affect compound growth?

Even a 1% annual fee can reduce your final balance by 20-30% over 30 years. Low-cost index funds are recommended for long-term investing.

What is the difference between nominal and real return?

Nominal return is before inflation. Real return accounts for inflation. At 7% nominal with 3% inflation, your real return is ~4%.

Can I rely on compound interest for retirement?

Compound interest is a powerful tool but should be part of a diversified retirement strategy including tax-advantaged accounts and appropriate asset allocation.