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.