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Introduction to Compound Interest

March 19, 2010
by
Khan Academy
YouTube video player
Introduction to Compound Interest

TL;DR

This video discusses the concept of compound interest and introduces the rule of 72 as an approximate method to calculate the time it takes to double your money.

Transcript

[MUSIC PLAYING] What I want to do in this video is talk a little bit about compounding interest. And then, have a little bit of a discussion of a way to quickly, kind of an approximate way to figure out how quickly something compounds. And then we'll actually see how good of an approximation this really is. So just as a review, let's say I'm runnin... Read More

Key Insights

  • ❓ Compound interest involves earning interest on both the principal and the accumulated interest.
  • ☺️ The formula for calculating compound interest is Principal x (1 + Interest Rate)^Number of Years.
  • ☠️ Calculating compound interest can become challenging with varying interest rates or longer time periods.

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Questions & Answers

Q: What is compound interest?

Compound interest is when the interest earned is added to the principal, and then interest is earned on the new total amount.

Q: How does compound interest differ from simple interest?

Simple interest only calculates interest on the principal, while compound interest takes into account interest earned from previous years as well.

Q: Why is calculating compound interest difficult?

Calculating compound interest involves using exponents and can become increasingly complex with varying interest rates or longer time periods.

Q: What is the rule of 72?

The rule of 72 is an approximate method to determine how long it takes for an investment to double by dividing 72 by the interest rate.

Summary & Key Takeaways

  • Compound interest is the interest earned on both the original deposit and the accumulated interest from previous years.

  • The formula to calculate the amount after a certain number of years is Principal x (1 + Interest Rate)^Number of Years.

  • Calculating compound interest can be complex and time-consuming, especially with varying interest rates.


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