NeehaRams

Interest & CAGR Calculator

Two questions that look alike and are not. Simple and compound interest ask what a rate turns a deposit into — the difference between them being whether the interest itself earns anything. CAGR asks the opposite: given what an investment started at, ended at and how long it took, what steady annual rate would explain it.

The two ways interest is paid

Simple interest is worked out on the amount you deposited and nothing else. Put ₹1,00,000 in at 8% and it pays ₹8,000 in the first year, the same in the tenth, and the same in the twenty-fifth. The interest is handed over rather than joining the pile.

Compound interest adds each payment back before working out the next one, so the base grows every round. That single difference is what separates a deposit that keeps pace with your salary from one that does not, and it is why the gap below is small at the top of the table and enormous at the bottom.

₹1,00,000 at 8% a year, compounded yearly
DurationSimpleCompoundDifference
1 years₹1.08L₹1.08L₹0
3 years₹1.24L₹1.26L₹1,971
5 years₹1.40L₹1.47L₹6,933
10 years₹1.80L₹2.16L₹35,892
15 years₹2.20L₹3.17L₹97,217
20 years₹2.60L₹4.66L₹2.06L
25 years₹3.00L₹6.85L₹3.85L

In year one the two are identical, because there is no interest yet for the interest to earn on. Everything in the last column is money made by money that was itself made by the deposit.

How often it compounds

A rate is only half of the quote. The other half is how many times a year the interest is added, because each addition gives the rest of the year a slightly larger base to work on. An Indian fixed deposit compounds quarterly; a savings account computes daily and credits quarterly.

8% nominal on ₹1,00,000 for 10 years
CompoundedEffective rateValue at the end
Yearly8.00%₹2.16L
Half-yearly8.16%₹2.19L
Quarterly8.24%₹2.21L
Monthly8.30%₹2.22L
Daily8.33%₹2.23L

Each step down the table buys less than the one above it. Going from yearly to half-yearly is worth more than every later step put together, and daily compounding is already within a rounding error of the theoretical ceiling.

What the rate is worth

Today's bank deposits sit near 6.05%, while 12% is the long-run figure equity is usually modelled at, and the one this page opens with. Moving the rate matters far less than most people expect over short terms and far more over long ones — the exponent is the term, not the rate.

₹1,00,000 for 10 years, compounded quarterly
Quoted rateEffective rateValue at the end
5%5.09%₹1.64L
6%6.14%₹1.81L
7%7.19%₹2.00L
8%8.24%₹2.21L
10%10.38%₹2.69L
12%12.55%₹3.26L

CAGR: two points and the time between them

CAGR answers a different question from the ones above. Instead of asking what a rate will grow into, it asks what steady rate would explain a growth that has already happened. You supply the starting value, the ending value and the period; it returns the one rate that connects them.

The period is where the arithmetic usually goes wrong. A holding bought in March 2019 and sold in August 2026 did not run for seven years, it ran for 7.39, and rounding that down flatters the rate. Entering the two dates measures the window exactly, counting a year as 365.25 days so leap years do not quietly add growth.

The CAGR behind a given growth multiple
Money grew3 yrs5 yrs10 yrs15 yrs20 yrs
1.5×14.5%8.4%4.1%2.7%2.0%
2×26.0%14.9%7.2%4.7%3.5%
3×44.2%24.6%11.6%7.6%5.6%
5×71.0%38.0%17.5%11.3%8.4%
10×115.4%58.5%25.9%16.6%12.2%

Read a row across and the same growth looks less impressive the longer it took. Doubling in three years is 26% a year; doubling in twenty is 3.5%, which a fixed deposit beats without opening.

What these figures leave out

  • Tax. Deposit interest is taxed at your slab rate in the year it accrues, whether or not it was paid out to you, and gains on an investment are taxed when you sell.
  • Inflation. Every figure here is in nominal rupees, so a 6.05% deposit in a 6% inflation year is barely standing still.
  • TDS and premature-withdrawal penalties, both of which change what a deposit actually returns.
  • Anything with more than two cashflows. A SIP, a top-up or a partial withdrawal needs XIRR — CAGR reads only the first amount and the last.
  • The path. Doubling in six years is a CAGR of 12.2%, a smooth climb that almost no real investment took — the real years were nothing like each other.

Frequently asked questions

What is simple interest?

Interest paid only on the amount you started with. ₹1,00,000 at 8% pays ₹8,000 every year for as long as the deposit runs, and the ₹8,000 never itself earns anything. The formula is principal × rate × years ÷ 100. It is the arrangement behind most short-term personal and vehicle loans, and behind the interest a court or a tax refund pays.

What is compound interest?

Interest that is added back to the principal, so the next round of interest is worked out on a larger amount. ₹1,00,000 at 8% pays ₹8,000 in the first year, then 8% of ₹1,08,000 in the second, and so on. The formula is P(1 + r/n)^(n×t), where n is the number of times a year the interest is added.

How much difference does compounding actually make?

Very little over a year and a great deal over twenty. The gap widens as a curve, not a line, because each year compounds on a base that is already larger than the last. The calculator prints the difference in rupees and also as the simple-interest rate you would have had to be offered to match it, which is usually the more honest comparison.

Which do Indian banks use?

Fixed deposits compound quarterly, which is why a 7% FD pays slightly more than 7% over a year. Savings accounts calculate interest daily on the closing balance and credit it quarterly. Recurring deposits compound quarterly on each instalment separately. Post office schemes differ by scheme — NSC and KVP compound yearly, PPF is credited yearly, and the Monthly Income Scheme pays out instead of compounding.

What does the compounding frequency change?

The more often interest is added, the more of the year it spends earning on itself. 8% compounded yearly is 8%; half-yearly it is 8.16%; quarterly 8.24%; monthly 8.30%; daily 8.33%. The gain from stepping up the frequency shrinks each time — there is a ceiling, and daily is already within a whisker of it.

What is the effective annual rate?

The once-a-year rate that would leave you in exactly the same place as the quoted rate compounded several times a year. It is the number that makes two offers comparable when one compounds quarterly and the other monthly. The calculator shows it beside the frequency selector, and banks call the same idea the annualised yield.

What is CAGR?

The compound annual growth rate: the single steady rate that would have taken a starting value to an ending value over a given period. ₹5,00,000 becoming ₹12,00,000 in five years is a CAGR of 19.1%. It is point-to-point by construction — it reads only the two ends and the time between them, and nothing about what happened in between.

How is CAGR different from absolute return?

Absolute return is total growth with no reference to time: ₹5,00,000 to ₹12,00,000 is 140%, whether that took two years or twenty. CAGR divides that growth across the years in the compounding sense, so two investments held for different lengths of time can be compared. A large absolute return over a long period is often a modest CAGR.

Why can I enter dates instead of a number of years?

Because real holdings rarely run in whole years. Bought on 14 March 2019 and sold on 2 August 2026 is 7.39 years, and rounding it to seven overstates the CAGR. Entering the two dates measures the window exactly. A year is counted as 365.25 days, which is what keeps leap years from quietly adding growth.

Is CAGR the same as XIRR?

No, and the difference matters as soon as money moves more than twice. CAGR takes one amount in and one amount out. XIRR handles any number of cashflows on any dates, which is what a SIP, a top-up or a partial withdrawal produces. Use CAGR for a lumpsum held untouched; anything with instalments needs XIRR.

Can CAGR be negative?

Yes. If the ending value is below the starting value the rate is negative, and it describes the steady annual decline that would have produced that fall. The calculator reports it as it is rather than flooring it at zero — a loss annualised is still the honest figure.

Does any of this account for tax or inflation?

No. Every figure here is before tax and in nominal rupees. Interest on a deposit is taxed at your slab rate in the year it accrues, and capital gains on an investment are taxed when you sell. Inflation then takes a further bite out of whatever is left, so a 7% deposit in a 6% inflation year is barely standing still.

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