Understanding how interest is calculated is essential for managing loans, savings, and investments. Below, we explain how to calculate daily, monthly, and annual interest using simple formulas.
1. Annual Interest Calculation
The formula for calculating annual interest is:
Interest = Principal × Rate
Example: If you invest $10,000 at an annual interest rate of 5%:
Interest = 10,000 × 0.05 = $500
2. Monthly Interest Calculation
To find monthly interest, divide the annual interest rate by 12:
Monthly Interest = (Principal × Rate) / 12
Example: Using the same $10,000 investment at 5% annual interest:
Monthly Interest = (10,000 × 0.05) / 12 = $41.67
3. Daily Interest Calculation
To find daily interest, divide the annual interest rate by 365:
Daily Interest = (Principal × Rate) / 365
Example: For a $10,000 investment at 5% annual interest:
Daily Interest = (10,000 × 0.05) / 365 = $1.37
4. Compound Interest Calculation
If interest is compounded, the formula is:
A = P (1 + r/n)^(nt)
Where:
- A = Final Amount
- P = Principal
- r = Annual Interest Rate (decimal)
- n = Number of times interest compounds per year
- t = Number of years
Example: If $10,000 is invested at 5% compounded monthly for 3 years:
A = 10,000 × (1 + 0.05/12)^(12×3) = $11,616.17
Interest Calculator
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