What Is the Difference Between Simple and Compound Interest?
Simple interest is calculated only on the original principal for every period. Compound interest is calculated on the principal plus all interest already earned, so the gap between the two widens every additional year.
At the same rate and principal, the two methods give an identical result for exactly one year of annual compounding. From the second year onward, compound interest pulls ahead, since it starts earning interest on interest that simple interest never accounts for.
This calculator runs both formulas on the identical principal, rate, and time period you enter above, so you can see the exact rupee gap rather than estimating it.
Simple Interest Formula
Simple Interest (I) = P x R x T / 100
Total Amount (A) = P + IP is the principal, R is the annual rate as a percentage, and T is the time in years. Worked example: ₹1.00 L at 8.0% for 10 years earns simple interest of ₹80,000, for a total amount of ₹1,80,000.
Compound Interest Formula
A = P x (1 + r/n)^(n x t)
Compound Interest = A - Pr is the annual rate as a decimal, n is the number of times interest compounds per year, and t is the time in years. The same ₹1.00 L at 8.0% for 10 years, compounded yearly, grows to ₹2,15,892, a compound interest of ₹1,15,892.
That is ₹35,892 more than the ₹80,000 the same money would earn as simple interest over the same period.
Converting Between Simple and Compound Interest Rates
A simple rate and a compound rate are not directly comparable numbers, because they measure growth differently over the same period. The converter below solves for the annually-compounded rate that produces the same total return as a given simple rate, or the reverse, over the same number of years.
Simple rate = [(1 + Compound rate/100)^Years - 1] x 100 / Years
Worked example: a 10% simple rate over 5 years is equivalent to an annually-compounded rate of about 8.45%, since compounding needs a lower stated rate to reach the same total. Run the same 10% as a compound rate over 5 years instead, and it converts back to an equivalent simple rate of about 12.21%.
Which Grows Faster: Simple or Compound Interest?
Compound interest always grows faster than simple interest at the same rate, and the advantage compounds itself: the longer the tenure, the wider the gap becomes in both rupee and percentage terms.
| Tenure | Simple Interest Total | Compound Interest Total | Gap |
|---|---|---|---|
| 5 years | ₹1,50,000 | ₹1,61,051 | ₹11,051 |
| 10 years | ₹2,00,000 | ₹2,59,374 | ₹59,374 |
| 20 years | ₹3,00,000 | ₹6,72,750 | ₹3,72,750 |
| 30 years | ₹4,00,000 | ₹17,44,940 | ₹13,44,940 |
The gap at 5 years is a fraction of what it becomes by 30 years, purely from interest earning further interest each additional year. Adjust the tenure slider in the calculator above to see this same widening effect on your own numbers.
How Compounding Frequency Affects the Comparison
A higher compounding frequency at the same stated annual rate produces a larger compound interest total, since interest gets added to the principal sooner and starts earning its own interest sooner. Simple interest does not change at all when you switch frequency, because it never compounds in the first place.
| Frequency | Compound Interest Total |
|---|---|
| Yearly | ₹2,15,892 |
| Half-Yearly | ₹2,19,112 |
| Quarterly | ₹2,20,804 |
| Monthly | ₹2,21,964 |
| Simple interest (any frequency) | ₹1,80,000 |
Simple vs Compound Interest on Loans and EMIs
Most home loans, car loans, and personal loans in India use a reducing-balance method, which recalculates interest on the outstanding principal after every EMI payment. This behaves like interest compounded monthly, not like simple interest.
Some short-term NBFC loans, flat-rate car loans, and the moratorium period on education loans instead quote a simple or flat interest rate. A flat-rate loan usually costs more than its quoted rate suggests once converted to an effective annual rate, since simple interest is charged on the original amount even as the balance is repaid down.
Run an actual home loan or personal loan through the EMI Calculator for the real reducing-balance schedule, rather than relying on either formula on this page for a loan.
FD Calculator
Run a real fixed deposit through quarterly compounding, TDS, and senior citizen rates.
Where Simple and Compound Interest Are Used in India
Products that compound
Fixed deposits, recurring deposits, PPF, EPF, and most bank savings accounts compound at yearly, half-yearly, quarterly, or daily-then-credited frequency. For a savings account with the exact daily-balance method, use the Savings Account Interest Calculator.
Products that use simple interest
Short-term personal loans, flat-rate car loans, the education loan moratorium period, and many microfinance and peer-to-peer lending products quote simple interest. It stays predictable and easy to verify by hand, which is why lenders on short, fixed-term products often prefer it.
Simple and Compound Interest Formulas in Excel
Both formulas translate directly into a spreadsheet, with cells for principal, rate, years, and compounding frequency.
| Result | Excel Formula |
|---|---|
| Simple interest | =P*R*T/100 |
| Simple interest total amount | =P+(P*R*T/100) |
| Compound interest total amount | =P*(1+R/N)^(N*T) |
| Compound interest | =P*(1+R/N)^(N*T)-P |
How to Use This Calculator
The calculator needs four inputs:
- Principal Amount: enter the amount you plan to invest or borrow, using the slider or by clicking the value to type an exact figure.
- Rate of Interest: enter the annual rate that applies to both the simple and compound interest calculations.
- Time Period: set the number of years, or pick one of the preset year buttons.
- Compounding Frequency: choose yearly, half-yearly, quarterly, or monthly for the compound interest side only, since simple interest never compounds.
Both totals, the interest earned under each method, and the extra amount from compounding update instantly. Expand Year-by-Year Comparison to see the gap widen year by year in both a chart and a table.
Limitations of This Calculator
Uses one rate for both methods.
Real products rarely quote the same headline rate for a simple-interest loan and a compounding deposit. Use this rate as a like-for-like comparison, not as two real product quotes.
Assumes a single, one-time principal.
It does not model recurring monthly contributions. For a monthly SIP, use the SIP Calculator or Step-Up SIP Calculator instead.
Assumes a constant rate for the entire tenure.
Real rates on FDs, PPF, EPF, and loans can change between renewal or reset cycles.
Does not calculate tax or TDS.
Interest income is taxable at your slab rate, with TDS deducted once thresholds under Section 194A are crossed. Use the Interest Calculator or FD Calculator for a version with TDS built in.
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Frequently Asked Questions
Disclaimer: All calculations on this page are indicative only, based on the principal, rate, tenure, and compounding frequency you enter. This calculator applies one rate to both methods for comparison purposes and does not reflect the actual rates any specific bank or lender quotes, does not account for tax or TDS, and does not model loan reducing-balance schedules. It is for educational and planning purposes only and does not constitute financial advice. Consult a SEBI-registered investment adviser or a chartered accountant before making financial decisions.