Money & everyday · 3 min read

Simple vs Compound Interest: The Difference in Numbers

Simple vs Compound Interest: The Difference in Numbers — illustration
In short: Simple interest I = P × r × t adds the same amount every year; compound interest adds more each year. On 2,000 at 4% over 20 years: simple gives 3,600.00, compound gives 4,382.25.

Simple interest

I = P × r × t = 2,000 × 0.04 × 20 = 1600. The balance grows by the same 80 each year.

Compound interest

Each year’s interest is added to the principal, so next year’s interest is larger.

YearsSimpleCompound (annual)Difference
12,080.002,080.000.00
52,400.002,433.3133.31
102,800.002,960.49160.49
203,600.004,382.25782.25
304,400.006,486.802,086.80

Which applies where

Many savings accounts and loans use compounding; some short-term loans use simple interest. Always check the terms. For the full formula see compound interest explained.

Percent practice

One year of simple interest: 4% of 2,000
Answer80
  • 4% of 2000 is 80
Step-by-step working 2 steps
  1. 1
    Turn the percent into a decimal
    4% = 4 ÷ 100 = 0.04
  2. 2
    Multiply by the number
    0.04 × 2000 = 80

Frequently asked questions

Is compound interest always better?

For savings, yes; for debt, it works against you.

How do I calculate monthly interest?

Divide the annual rate by 12 for each monthly period, if the account compounds monthly.

Written and reviewed by Mateuss M.

Mateuss M. writes and reviews mathematical content for CalcSolver, focusing on online calculators, formulas, equations, and practical math tools. He reviews calculator functionality, calculation methods, formulas, examples, and explanations to help ensure that each tool is clear, useful, and easy to understand.

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