Hasty Briefsbeta

Bilingual

Stop using e for compound interest

a year ago
  • #compound interest
  • #mathematics
  • #exponential growth
  • Bank account with 100% yearly interest doubles the deposit after a year.
  • Compounding interest twice yearly increases the deposit by 50% every 6 months.
  • Daily compounding leads to an approximate increase of 2.718 times the deposit after a year.
  • Continuous compounding results in exactly e times the deposit after a year.
  • Compound interest is divided linearly despite exponential growth, causing confusion.
  • Banks must disclose interest rate, compound interval, and annual percentage yield separately.
  • The function e^x is its own derivative, with e^0 = 1.
  • The derivative of e^(kx) is ke^(kx).
  • e^(iπ) + 1 = 0 shows a connection between e and trigonometric functions.
  • e^(ix) is periodic with a period of 2π, linking e to trigonometry.