Personal financial literacy · TEKS 7.13E

Simple & compound interest

Simple interest is earned only on the starting amount. Compound interest also earns interest on past interest.

Key steps
  • Simple interest: I = Prt (r as a decimal, t in years).
  • Simple balance = P + I.
  • Compound yearly: multiply by (1 + r) once for each year.
  • Over time, compound interest always earns more.
Worked example

$1,000 at 5% for 2 years. Simple vs compound?

  1. Simple: 1,000 × 0.05 × 2 = $100, so the balance is $1,100.
  2. Compound: 1,000 × 1.05 × 1.05 = $1,102.50.
  3. Compound earns $2.50 more.
Watch out: Write 5% as 0.05, not 5.

Practice

5 questions with new numbers every set. Get 4 of 5 to mark this topic as practiced.

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