πŸ“ˆExponential Wealth & APY Forecaster

Compound Interest Calculator

Calculate the future value of your investments with compound interest, regular monthly contributions, custom compounding intervals, and APY rates.

Investment Parameters

Set starting principal, recurring deposits, and time horizon.

$
$
%
Yrs
Projected Future Value
$136,881
After 15 Years
Wealth Composition53% Interest
Total Principal Contributed:$64,000
Total Interest Earned:$72,881
Effective APY:8.30%
In today’s money$87,859
πŸ’‘
Rule of 72 Doubling TimeAt 8.0% annual return, your money doubles every 8.7 years.

Why compounding frequency matters less than time

Compound interest means interest earning interest. Simple interest on $10,000 at 7% pays $700 every year forever; compound interest pays $700 in year one, $749 in year two, and $1,340 by year ten, because each year's interest joins the balance and earns in its own right. Over a decade the difference is modest. Over three, it is the entire investment.

Time dominates everything else in the formula. Because growth is exponential, the final years contribute far more absolute money than the early ones β€” the last decade of a 40-year run typically produces more growth than the first thirty combined. This is why starting early beats contributing more: $200 a month from age 25 generally finishes ahead of $400 a month from age 40, despite half the total contributed.

Compounding frequency β€” daily, monthly, annually β€” matters much less than the marketing around it suggests. At 7%, annual compounding yields exactly 7%; monthly yields about 7.23%; daily about 7.25%. The gap between monthly and daily is roughly two hundredths of a percent. Check the APY rather than the frequency β€” it already folds the compounding in, which is precisely what it exists for.

Frequently asked questions

What is compound interest?

Compound interest is interest calculated on both the initial principal and the accumulated interest from preceding periods. Unlike simple interest, which grows linearly, compound interest grows exponentially over time.

What is the compound interest formula?

The standard compound interest formula is A = P(1 + r/n)^(nt), where A is the future balance, P is the principal, r is the annual nominal interest rate in decimal form, n is the number of times interest compounds per year, and t is the time in years. When recurring deposits are added, the formula incorporates an annuity component.

What is the Rule of 72?

The Rule of 72 is a quick mental math shortcut used to estimate the number of years required to double your money at a given annual interest rate. Divide 72 by the annual return rate: at an 8% return, money doubles in approximately 72 / 8 = 9 years.

Does daily compounding make a big difference over monthly?

Compounding frequency has a relatively minor effect compared to time and interest rate. For example, $10,000 at 7% for 10 years yields $19,671 with annual compounding, $20,096 with monthly compounding, and $20,136 with daily compounding. The difference between monthly and daily compounding is less than 0.2%.

What is the difference between APR and APY?

APR (Annual Percentage Rate) is the simple annual interest rate without considering compounding. APY (Annual Percentage Yield) reflects the true annual return earned by including the effect of compound interest. APY is always equal to or higher than APR.