📖 what

What is compound interest?

EconomicsMathematics

Quick Answer

Compound interest is interest earned on both your original money and on the interest it has already earned, so savings or debts grow faster and faster over time.

The Full Story

With simple interest you earn only on the amount you first deposited, but with compound interest each period interest is added to the balance, and the next round is calculated on the bigger total. The effect is modest at first and dramatic over decades: 1,000 dollars growing at 7 percent a year becomes about 7,600 dollars after 30 years. A handy shortcut called the Rule of 72 estimates doubling time by dividing 72 by the interest rate, so money at 8 percent doubles in about nine years. The same maths works against borrowers, which is why unpaid credit card balances can spiral. While studying compound interest in 1683, mathematician Jacob Bernoulli discovered the famous constant e.

Key Facts

1.1,000 dollars at 7 percent compounded yearly grows to about 7,600 dollars in 30 years.
2.The Rule of 72 estimates how long money takes to double.
3.Jacob Bernoulli discovered the constant e while studying compound interest in 1683.

YouTube Angle

Suggested video title for this topic:

"The Snowball Effect — How Compound Interest Builds Wealth"