BAJAJ ASSET MANAGEMENT LIMITED.
BAJAJ ASSET MANAGEMENT LIMITED.
₹ 1,00,000
₹ 10,00,00,000
2%
13%
1 Year
20 Years
A compound interval refers to the frequency at which interest is added to the principal amount in a compounding process.
Yearly
Half-Yearly
Quarterly
Monthly
A compound interest calculator estimates how your money grows over time by compounding. By entering your principal, interest rate, and compounding frequency, it shows how small, consistent investments can accumulate into potential growth.
Compounding is easier to grasp when you can see the numbers. Bajaj AMC’s online compound interest calculator helps you explore different scenarios and estimate the potential returns and maturity amount. To get started:
1. Enter the principal amount
2. Set the assumed rate of return
3. Choose the time period
4. Select yearly, half-yearly, quarterly or monthly as the compound interval.
5. Review the total maturity amount, principal amount and returns
Try more than one scenario. The point is not to find one perfect number. It is to see which assumption changes the outcome most.
The calculator is an aid, not a prediction tool. It may provide only an indicative picture.
Rather than providing a single result, a compound interest calculator helps you compare scenarios and understand how different inputs affect the estimated outcome:
• View the estimated total maturity amount, principal amount and returns separately.
• Compare monthly, quarterly, half-yearly and yearly compound intervals on the same basis.
• Test different principal amounts, assumed rates of return and time periods without calculating the formula by hand.
• See the split between your principal and estimated returns at a glance.
• Compare scenarios to understand which input has the greatest effect on the result.
Change one input at a time. If you change everything together, the result moves but tells you little about why.
Compound interest is calculated on both the original principal and the interest accumulated over previous periods. As interest is added to the balance, it becomes part of the base for the next calculation.
Unlike simple interest, which is calculated only on the starting amount, compound interest can build at an increasing pace over time. The result of a compound interest calculation depends on the principal amount, interest rate, time period and compounding frequency. At first, the difference may look modest. Given enough time, it becomes harder to miss.
The figures shown are for illustrative purpose only
Compound interest works as a repeating cycle. The compound interest calculation begins with the principal amount. At the end of each compounding period, the applicable interest rate is applied to the current balance. The interest earned is then added back, creating a larger base for the next period.
As the cycle continues, previously accumulated interest becomes part of the calculation. Later periods can therefore earn interest on both the original principal and the interest already added. That is compounding at work.
The compounding frequency determines how often this cycle takes place. With daily compounding, interest is calculated across daily periods. Monthly, quarterly, half-yearly and yearly compounding follow the same principle at progressively longer intervals. Assuming the principal amount, annual interest rate, time period and calculation method remain the same, more frequent compounding will generally produce a slightly higher maturity amount.
Time plays a larger role as the cycle continues. The longer the money remains invested or outstanding, the more opportunities it has to build on the accumulated interest.
A compounding calculator is shaped by several connected factors. Change one, and the estimated interest earned and maturity amount can change with it.
• Starting amount or principal amount: Compounding begins with the amount you start with. A larger principal can produce more interest in absolute terms when the annual interest rate, time period and compounding frequency remain unchanged.
• Annual interest rate or assumed rate of return: A higher rate affects every later compounding cycle, not just the first. For market-linked investments such as mutual funds, the assumed rate of return is illustrative; actual returns are not fixed or guaranteed.
• Time period: More time creates more compounding periods. Earlier interest can become part of the calculation base and may generate further interest, making the effect of long-term compounding more visible.
• Compounding frequency: This determines how often interest is calculated and added. At the same nominal annual rate, daily or monthly compounding will generally produce a slightly higher maturity amount than quarterly, half-yearly or yearly compounding because the balance is updated more frequently.
• Additional contributions or withdrawals: Money added earlier has longer to participate in potential growth. Withdrawals reduce the balance available for later periods, so the amount and timing of each transaction can affect the final value.
• Product rules, costs and taxes: Fees, charges, taxes, rounding methods, interest-crediting dates and day-count conventions can cause the actual result to differ from a simple compound interest formula or online compound interest calculator estimate.
No factor works like a shortcut. Time is often the easiest to underestimate because its effect may appear modest at first and become clearer only after several compounding cycles.
To compute compound interest, first calculate the final or maturity amount. Then subtract the original principal amount to find the compound interest earned. The calculation considers the starting amount, annual interest rate, time period and compounding frequency.
Compound interest formula
The standard compound interest formula for a one-time principal is:
A = P(1 + r/n)(nt)
Where:
• A is the final or maturity amount.
• P is the principal or starting amount.
• r is the annual interest rate or assumed rate of return expressed as a decimal. For example, 8% becomes 0.08.
• n is the number of compounding periods in a year. This is typically 365 for daily, 12 for monthly, 4 for quarterly, 2 for half-yearly and 1 for yearly compounding. Daily conventions can vary by product.
• t is the time period in years.
To calculate only the compound interest earned, use:
Compound interest = A – P
For example, suppose ₹1,00,000 compounds quarterly at an annual rate of 8% for five years:
A = ₹1,00,000 x (1 + 0.08/4)(4 x 5)
The estimated maturity amount is approximately ₹1,48,595. After subtracting the principal amount of ₹1,00,000, the estimated compound interest is approximately ₹48,595.
The formula above applies to a one-time principal. In a compound interest calculation with regular contributions, each contribution must be treated as a separate cash flow because it compounds only from the date it is added. Bajaj AMC’s compound interest calculator calculates the potential maturity value of a one-time principal and does not include recurring contributions or withdrawals.
The figures shown are for illustrative purpose only
Roy, a 34-year-old marketing professional, has set aside ₹1,00,000 from his annual bonus for a goal ten years away. He wants to see how the compounding frequency changes the outcome when every other assumption remains the same.
For this illustration, Roy uses:
• Principal amount: ₹1,00,000
• Nominal annual rate: 13%
• Time period: 10 years
He compares the compound intervals available on Bajaj AMC’s compound interest calculator.
1. Yearly compounding
With yearly compounding, interest is added once each year.
• A = ₹1,00,000 × (1 + 0.13/1)^(1 × 10)
• Estimated maturity amount = ₹3,39,457
• Estimated compound interest = ₹3,39,457 − ₹1,00,000 = ₹2,39,457
2. Half-yearly compounding
With half-yearly compounding, the annual rate is divided across two compounding periods each year.
• A = ₹1,00,000 × (1 + 0.13/2)^(2 × 10)
• Estimated maturity amount = ₹3,52,365
• Estimated compound interest = ₹3,52,365 − ₹1,00,000 = ₹2,52,365
3. Quarterly compounding
With quarterly compounding, interest is calculated and added four times a year.
• A = ₹1,00,000 × (1 + 0.13/4)^(4 × 10)
• Estimated maturity amount = ₹3,59,420
• Estimated compound interest = ₹3,59,420 − ₹1,00,000 = ₹2,59,420
4. Monthly compounding
With monthly compounding, the annual rate is divided across 12 compounding periods each year.
• A = ₹1,00,000 × (1 + 0.13/12)^(12 × 10)
• Estimated maturity amount = ₹3,64,373
• Estimated compound interest = ₹3,64,373 − ₹1,00,000 = ₹2,64,373
5. Daily compounding
With daily compounding, interest is calculated across 365 periods each year for this illustration.
• A = ₹1,00,000 × (1 + 0.13/365)^(365 × 10)
• Estimated maturity amount = ₹3,66,845
• Estimated compound interest = ₹2,66,845
Roy’s principal amount, nominal annual rate and time period remain unchanged across all five scenarios. Only the compound interval changes. Daily compounding produces an estimated maturity amount approximately ₹27,388 higher than yearly compounding because interest is added to the calculation base more frequently.
With yearly compounding, Roy’s balance becomes ₹1,13,000 after the first year. The next year’s interest is calculated on ₹1,13,000, not only on the original ₹1,00,000. Daily, monthly, quarterly and half-yearly compounding follow the same principle at shorter intervals. That is the compounding effect.
The figures shown are for illustrative purpose only
Compounding frequency tells you how often interest is added to the balance. Once added, it becomes part of the base for the next compound interest calculation.
| Compounding frequency | What it means |
| Daily compounding | Interest is added after each daily period. The updated balance becomes the base for the next day’s calculation. |
| Monthly compounding | Interest is added at the end of each month. The next month’s calculation uses the updated balance. |
| Quarterly compounding | Interest is added after every three-month period. Each new quarter begins with the previous quarter’s closing balance. |
| Half-yearly compounding | Interest is added after every six-month period. The balance is updated twice during the year. |
| Yearly compounding | Interest is added once a year. The accumulated interest forms part of the calculation from the following year. |
When the principal amount, nominal annual interest rate and time period remain unchanged, more frequent compounding generally produces a slightly higher maturity amount because interest enters the calculation base sooner.
Bajaj AMC’s compound interest calculator supports monthly, quarterly, half-yearly and yearly compound intervals.
Simple interest and compound interest can start with the same principal amount, interest rate and time period. The difference is in how the calculation base evolves over time.
| Basis | Simple interest | Compound interest |
| Calculation base | Only the original principal amount. | Principal plus accumulated interest from earlier periods. |
| Growth pattern | Interest remains constant when rate and time are unchanged. | Interest can increase as the balance grows each period. |
| Frequency | No interest-on-interest effect. | Daily, monthly, quarterly, half-yearly or yearly compounding determines how often interest is added to the balance. |
| Formula | SI = P x r x t | A = P(1 + r/n)^(nt) and CI = A – P |
| Outcome (earning) | Typically results in a lower final amount over the same period. | Can result in a higher maturity amount due to interest-on-interest. |
| Outcome (borrowing) | Interest does not compound on itself. | Unpaid interest can increase the base for future interest, depending on product terms. |
Neither method is automatically better. When you earn interest, compounding can increase the final amount. When you borrow, it can increase the total interest payable. If interest is calculated only on the original principal, use Bajaj AMC’s simple interest calculator to estimate the interest and final amount.
For market-linked investments such as mutual funds, the rate of return is an assumption rather than a fixed interest rate, and actual returns may vary.
The power of compounding comes from keeping earnings invested so they can generate further returns. When interest is added to the principal amount, the next calculation is based on a higher balance. Over a longer time period, this interest-on-interest effect can widen the gap between the starting amount and the maturity amount.
The outcome is driven by four inputs: principal amount, annual interest rate, investment tenure and compounding frequency. The effect may look small in the early periods, but becomes more visible as time increases.
Compounding is a calculation method, not a guarantee. A compound interest calculator uses the assumed rate of return entered by the user to show possible outcomes. It helps illustrate sensitivity to inputs, but it does not ensure that the assumed rate will be achieved.
For deposits and loans, results depend on the applicable interest rate, compound interval and product terms. Mutual funds are different. They do not have a fixed interest rate or a fixed compounding interval. The NAV moves with market performance, and gains or losses apply to the changing investment value. When gains remain invested, they continue to participate in market movements, which can be positive or negative.
Use Bajaj AMC’s online compound interest calculator to compare scenarios and understand how time, rate and frequency interact. The output is an illustration of potential outcomes, not a prediction of market-linked returns.
The standard compound interest formula for a one-time principal is A = P(1 + r/n)^(nt), where A is the final or maturity amount, P is the principal amount, r is the nominal annual interest rate expressed as a decimal, n is the number of compounding periods per year and t is the time in years. To calculate only the compound interest earned, use Compound interest = A − P. The formula assumes a constant rate and excludes additional contributions, withdrawals, fees and taxes.
Use the daily compound interest formula: A = P(1 + r/365)^(365t), where P is the principal amount, r is the nominal annual interest rate expressed as a decimal and t is the time in years. Subtract the principal from the final amount to calculate the estimated daily compound interest earned. A daily compound interest calculator performs this calculation automatically, although actual products may use a different day-count convention.
At the same positive nominal annual interest rate, principal amount and time period, daily compounding generally produces the highest calculated amount, followed by monthly, quarterly, half-yearly and yearly compounding. More frequent compounding produces a slightly higher maturity amount because interest is added to the calculation base sooner. For real financial products, compare the effective annual rate, fees, taxes and product terms rather than compounding frequency alone.
The monthly compound interest formula is A = P(1 + r/12)^(12t), where P is the principal amount, r is the nominal annual interest rate expressed as a decimal and t is the time in years. The annual rate is divided across 12 monthly compounding periods. A monthly compound interest calculator applies this formula automatically. To calculate only the estimated monthly compound interest earned, use Compound interest = A − P.
Compound interest is not a separate tax category, but the underlying interest income, capital gain or other return may be taxable. The applicable tax treatment depends on the financial product, jurisdiction, holding period, taxpayer status and prevailing tax rules. Most compound interest calculators show pre-tax estimates unless stated otherwise, so consult a qualified tax professional for guidance specific to your circumstances.
The Rule of 72 is a quick method for estimating how long an amount may take to double at a constant annual rate. Divide 72 by the annual rate expressed as a percentage; at 8%, the estimated doubling time is approximately nine years. The Rule of 72 is an approximation that assumes stable returns and reinvested earnings, so use a compound interest calculator for a more precise estimate.
A compound interest calculator helps estimate the maturity amount and compound interest earned without calculating the formula manually. It allows you to compare different principal amounts, assumed rates of return, time periods and compounding frequencies. Changing one input at a time can make it easier to understand how rate, tenure and compound interval affect the estimated result.
Simple interest is calculated only on the original principal amount, whereas compound interest is calculated on the principal and the accumulated interest added during earlier periods. At the same positive interest rate and over the same time period, compound interest generally produces a higher maturity amount because the calculation base can grow. For borrowers, the same interest-on-interest effect may increase the total interest payable.
The main benefit of compound interest is that previously earned interest can generate further interest when it remains in the balance. This can help an amount grow faster than simple interest when the principal, positive rate and time period remain the same. The effect typically becomes more visible over longer periods, although compounding can also increase the cost of unpaid debt for borrowers.
A Systematic Investment Plan, or SIP, does not pay a fixed compound interest rate. It is a method of investing a chosen amount in a mutual fund at regular intervals, with each instalment purchasing units at the applicable NAV. When gains remain invested, future gains or losses apply to the updated investment value, creating a compounding effect. However, SIP returns are market-linked and are not fixed or guaranteed.
Savings accounts, cumulative fixed deposits, recurring deposits and certain other interest-bearing products may offer compound interest when credited interest remains in the balance. Bonds may generate compounding growth when coupon income is reinvested. Market-linked investments such as mutual funds can experience a compounding effect when gains remain invested, but they do not offer a fixed compound interest rate or guaranteed return.
Monthly contributions can be included if the compound interest calculator supports recurring deposits or regular contributions. Enter the contribution amount, payment frequency and whether each contribution is made at the beginning or end of the period. Each contribution compounds only for the time it remains in the calculation. If a calculator accepts only a one-time principal, use a recurring-investment calculator or calculate each contribution as a separate cash flow.
No. A compound interest calculator result is a mathematical estimate based on the principal amount, interest rate or assumed rate of return, time period and compounding frequency entered. Actual results can differ because rates may change and product rules, fees, taxes, contributions or withdrawals may not match the calculator assumptions. Market-linked returns can also be positive or negative and are not guaranteed.
Actual results may differ because a bank or financial product uses a different nominal rate, effective rate, day-count convention, compounding schedule, interest-crediting date or rounding method. Contributions, withdrawals, fees and taxes can also affect the final amount. Market-linked investments change with actual market performance rather than a constant assumed rate, so an online compound interest calculator should be treated as an illustration rather than a guaranteed maturity value.
Yes. A compound interest calculator can illustrate how a longer investment period may increase the potential maturity amount when the principal, assumed rate of return and compounding frequency remain the same. Starting earlier provides more time for compounding, although actual returns from market-linked investments are not guaranteed.
Yes, a compound interest calculator can help illustrate how a one-time amount may grow over a long period at an assumed rate of return. However, retirement planning should also account for factors such as regular contributions, inflation, future expenses and withdrawals, which may not be captured by a basic compound interest calculator.
Call, chat or write to us if you
need investment help
Toll-free number
Write to us at
Investor WhatsApp channel
Share your details and our experts will guide you.
The calculator alone is not sufficient and shouldn’t be used for the development or implementation of an investment strategy. This tool is created to explain basic financial / investment related concepts to investors. The tool is created for helping the investor take an informed investment decision and is not an investment process in itself. Bajaj AMC has tied up with AdvisorKhoj for integrating the calculator to the website. Mutual Fund does not provide guaranteed returns. Also, there is no assurance about the accuracy of the calculator. Past performance may or may not be sustained in future, and the same may not provide a basis for comparison with other investments. Investors are advised to seek professional advice from financial, tax and legal advisor before investing in mutual funds.
Need help planning your investments?
Our Investment Philosophy reflects what we, as an organisation, believe will generate a good return on equity investment for our investors in the long term. It dictates our goals and guides decision making.
Alpha (a) is a term used in investing to describe an investment strategy’s ability to beat the market.
Alpha is thus also often referred to as excess return or the abnormal rate of return in relation to a benchmark, when adjusted for risk. Essentially, it means doing better than the crowd without taking disproportionate risk.
Collecting superior information
Analysts and portfolio managers strive to collect superior information about the business and the management of the company. They try to generate superior earnings forecast and the balance strength of the company and the industry, thereby trying to 'beat the market' on information edge. This is an important source of alpha for an investor. However, over the years, retaining the information edge has become more difficult and expensive. With a whole lot of investors trying to collect superior information, how can an investor be sure to continuously have accurate and material information about the companies, ahead of others, all the time?
Processing information better
Even if you don't have material information earlier than the crowd, you can still generate better outcomes if you are able to process this information better. Investors develop models and algorithms with enhanced predictive powers to forecast the next move. Fund managers who invest based on some pure formal analytical models are quantitative managers. Here, the goal is to try and beat other investors based on the sophistication of procedures or analytics. The analytical edge can be quite useful until it gets copied by many, and then it may stop generating superior returns.
Exploiting behavioural biases
As the name suggests, this edge is achieved by superior behaviour in reacting to the inputs available to maximise alpha. Modern finance assumes people behave with extreme rationality. However, researchers in behavioural finance have shown that this is not true. Moreover, these deviations from rationality are often systematic. Behavioural managers try to exploit situations where securities are mispriced by the market because of behavioural factors. At Bajaj Finserv AMC, we endeavour to combine the best of these edges.
