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Feynman teaching note

Compound Interest

SubjectEconomics
Area tags
EconomicsMath
林Shared by林昭
Compound interest is interest that earns interest. The growth isn't a straight line, it's a snowball rolling downhill: the bigger it gets, the faster it grows. Put $1,000 in at 10% a year. Year one you earn $100. But year two you earn 10% of $1,100, which is $110, because last year's interest is now also earning. Each year the base is larger, so each year's gain is larger. The headline consequence is the rule of 72: divide 72 by the interest rate to estimate how many years until your money doubles. At 8%, that's about 9 years. The two levers that matter most are time and rate, and time usually wins because compounding rewards patience more than a slightly higher rate.

Same topic, fresh practice—does not count as an adaptation.

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Feedback & gaps

Clarity score: 86/100How well you know it: Can use it anywhere

Use the rule of 72 to explain why starting to save at 25 vs 35 makes a huge difference by retirement.

  • Doesn't mention compounding frequency (monthly vs yearly).
  • Ignores inflation eating into real returns.

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