Introduction
Compound interest earns interest on both principal and previously accumulated interest — producing exponential growth over time. Savings accounts, mutual fund projections, and long-term investments typically use compounding at yearly, quarterly, or monthly intervals.
Numverto supports multiple compounding frequencies and shows year-wise growth. Study the math in our compound interest guide before trusting any financial decision to calculators alone.
Compound Interest Formula
A = P(1 + r/n)nt, where A = final amount, P = principal, r = annual rate (decimal), n = compounding periods per year, t = years. CI = A − P.
Step-by-Step Examples
Example: ₹1,00,000 at 10% compounded annually for 5 years
A = 100000 × (1.10)5 = ₹1,61,051. CI = ₹61,051.
Example: Quarterly compounding
n = 4. Rate per quarter = 10%/4 = 2.5%. More periods yield slightly higher A than annual compounding.
Real-Life Applications
- Fixed deposit and recurring deposit projections
- Retirement and SIP growth estimates
- Inflation-adjusted savings planning
- Finance and MBA coursework
- Comparing bank product interest rates fairly
Advantages of Using This Compound Interest
- Annual, half-yearly, quarterly, and monthly compounding
- Year-by-year balance table
- Visual comparison of SI vs CI when applicable
- Accurate power calculations for long tenures
- Free tool with no registration
Common Mistakes to Avoid
- Using percentage instead of decimal for r in the formula
- Wrong n for the stated compounding frequency
- Comparing products with different compounding without normalizing
- Ignoring taxes on interest income in net returns
- Assuming past compounded returns guarantee future results