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    We found 112 Compound Interest Formula
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    Deposit Amount Range
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    Interest Rate
    Up to ₹25L
    1 Year to 5 Years
    7.75% - 8.6% Monthly compounding
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    Up to ₹25L
    1 Year to 5 Years
    7.72% - 8.65% Monthly compounding
    Response Time Within 30 minutes
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    Up to ₹1Cr
    7 Days to 20 Years
    5% - 7.75% Quarterly compounding
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    Up to ₹1Cr
    7 Days to 10 Years
    4% - 7.25% Quarterly compounding
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    Up to ₹1Cr
    7 Days to 10 Years
    4.25% - 7.05% Monthly compounding
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    Up to ₹1Cr
    15 Days to 20 Years
    5.75% - 7.25% Monthly compounding
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    Up to ₹1Cr
    7 Days to 10 Years
    4% - 7% Monthly compounding
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    NRI - FD
    Up to ₹1Cr
    1 Year to 5 Years
    6.5% - 6.8% Monthly compounding
    Response Time Within 30 minutes
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    NRI - FD
    Up to ₹1Cr
    1 Year to 10 Years
    6.5% - 6.75% Monthly compounding
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    NRI - FD
    Up to ₹1Cr
    1 Year onwards
    6.25% - 6.5% Monthly compounding
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    Up to ₹1Cr
    7 Days to 10 Years
    4% - 7.30% Quarterly compounding
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    NRI - FD
    Up to ₹1Cr
    1 Year to 5 Years
    6.80% Quarterly compounding
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    Compound Interest Formula

    Gone are the days of school mathematics, most of us easily forget, but a quick refresher may bring it all back. To understand compound interest in the easiest form, let’s take a look at what it means. Compound interest is a useful financial concept in which your interest earned is added to your principal. This amount then continues to earn more interest. So in this case, you also earn interest on the interest you’ve already earned. So your balance grows at an increasing rate. In a sense, you reinvest your interest, rather than receiving a pay-out.

    • Year 1 - You earn interest on your Principal.
    • Year 2 - You earn interest on your (Principal + Interest of Year 1).
    • Year 3 - You earn interest on your (Principal + Interest of Year 1 + Interest of Year 2).

    Compound interest is the basis of long-term growth of the stock market. It forms the basis of personal savings plans. Compound interest also affects inflation.

    Types of Compound Interest

    There are generally two types of compound interest used.

    • Periodic Compounding - Under this method, the interest rate is applied at intervals and generated. This interest is added to the principal. Periods here would mean annually, bi-annually, monthly, or weekly.
    • Continuous Compounding - This method uses a natural log-based formula and calculates interest at the smallest possible interval. This interest is added back to the principal. This can be equalled to the constant rate of growth for all natural growth. This figure was born out of physics. It uses Euler’s number which is a famous irrational number which is known to more than 1 trillion digits of accuracy. Euler’s number is denominated by the letter “E”.

    Periodic Compound Interest Formula Overview

    There are two formulas you can use to calculate compound interest, depending on what result you wish to find out. You can find out the following:

    • The total value of the deposit.
    • The total compound interest earned.

    Value of the Deposit

    Formulas can be a deterrent to many. If you aren’t savvy with math, your eyes turn away from these codes or just skip them altogether. But once it’s explained, it’s pretty simple to understand. To calculate the total value of your deposit, the formula is as follows:

    P (1+ i/n)nt

    P = Principal invested.

    i = Nominal Rate of Interest.

    n = Compounding Frequency or number of compounding periods in a year.

    t = Time, meaning the length of time the interest is applicable, generally in years.

    Simply put, you calculate the interest rate divided by the number of times in a year the compound interest is generated. For instance, if your bank compounds interest quarterly, there are 4 quarters in a year, so n = 4. This result must be multiplied to the power of the deposit period. For example, if your deposit is for 10 years, t = 10. This whole result should be multiplied by the principal you invested. The result generated will equal the total accumulated value of your deposit. You can find out how much your deposit is worth currently after accumulating interest.

    Total Compound Interest Earned

    To find out how much interest was earned, you can use the following formula for Compound Interest.

    P[(1+ i/n))nt-1]

    Compound Interest Equation and Calculation

    To understand the compound interest equation further, we can break it down in simpler terms. If you decide to invest in a fixed deposit with compound interest, this is how you will earn interest every year.

    Period Deposit Balance
    Investment P
    Year 1 P + iP
    Year 2 (P+ iP) + i(P+iP)

    To collapse this formula, we can pull out factors of (1+i). Simply substitute iP with (1+i) to get the following:

    Period Deposit Balance
    Investment P
    Year 1 P(1+i)
    Year 2 P(1+i)2
    Year 3 P(1+i)3

    Formula for Annual Compound Interest

    To calculate the compound interest for a number of years together, we need to multiply P(1+i) to the power of the number of years of the deposit. So we end up with this formula:

    P (1+ i/n)n

    This formula can be used to calculate compound interest that is compounded annually. This means you receive interest only once a year. It is added to your principal, and you continue to earn interest on the new amount.

    Half-Yearly, Quarterly, Monthly Compound Interest Formula

    If you are earning interest multiple times in a year, you need to factor in this number into the equation. So the formula generated is:

    P (1+ i/n)nt

    This formula can also be used for instances where the interest is compounded once every two years. In this case, n = 0.5, as each year is calculated as half.

    Examples of Compound Interest

    For example, Rs. 10,000 is invested in a fixed deposit for 10 years. The interest is compounded every quarter which means 4 times in a year. The interest paid by the bank is 5%. To find out your nominal rate of interest, you need to divide 5 by 100 which equals 0.05. Now, we look at the formula and substitute the letters with the relevant numbers.

    Calculating the Total Value of the Deposit

    P (1+ i/n)nt

    Step 1: 10,000 (1+0.05/4)4x10

    Step 2: 10,000(1+0.0125)40

    Step 3: 10,000 (1.0125)40

    Step 4: 10,000 (1.64361946349)

    Step 5: 16436.1946349

    We can round of this total to Rs. 16,436.19. So the compound interest earned after 10 years is Rs. 6,436.19.

    Calculating the Interest Earned

    We can also arrive at this figure using the formula for compound interest earned. We can substitute the numbers for letters as seen below:

    P[(1+ i/n)nt -1]

    Step 1: 10,000 [(1+0.05/4)4x10 -1]

    Step 2: 10,000 [(1+0.0125)40-1]

    Step 3: 10,000 [(1.0125)40-1]

    Step 4: 10,000 [(1.64361946349) -1]

    Step 5: 10,000 (0.664361946349

    Step 5: 6436.1946349

    We can now add this interest earned to the principal amount to find out the value of the deposit. The maturity value will be Rs. 16,436.19.

    The earnings through compound interest can be demonstrated with the following graph.

    FD Compund Interest

    Simple Interest vs. Compound Interest

    To demonstrate the difference between simple interest and compound interest, let’s take for example two fixed deposits. Both deposits are of Rs. 10,000 for 10 years. The interest offered on Deposit 1 is 5% compound interest. The interest offered on Deposit 2 is 5% simple interest. The interest is calculated annually on both deposits.

    Period Deposit 1 - Compound Interest Deposit 2 - Simple Interest Difference
    Year 1 Rs. 500 Rs. 500 Rs. 0
    Year 2 Rs. 1,025.00 Rs. 1,000 Rs. 25
    Year 3 Rs. 1,576.25 Rs. 1,500 Rs. 76.25
    Year 4 Rs. 2,115.06 Rs. 2,000 Rs. 115.06
    Year 5 Rs. 2,762.82 Rs. 2,500 Rs. 762.82
    Year 6 Rs. 3,400.96 Rs. 3,000 Rs. 400.96
    Year 7 Rs. 4,071.00 Rs. 3,500 Rs. 571.00
    Year 8 Rs. 4,774.55 Rs. 4,000 Rs. 774.55
    Year 9 Rs. 5,513.28 Rs. 4,500 Rs. 1,013.28
    Year 10 Rs. 6,288.95 Rs. 5,000 Rs. 1,288.95
    FD Comparison

    From the graph above, we can see clearly the higher earnings through compound interest compared to simple interest. The difference is not too much upto the 4th year. This is because the interest accumulated over the years is added to the principal, thus making the principal significantly higher. From Year 5, there is a major difference in the interest earned. At the end of 10 years, Deposit 1 earns Rs. 6,288.95, while Deposit 2 earns Rs. 5,000. The difference between the two is Rs. 1,288.95.

    Compound Interest with Monthly Contributions

    Compounding interest on fixed deposits where you are allowed to make monthly contributions can get a little tricky. For the amount invested during the compounding period, interest will be generated for the initial investment amount + monthly contributions. These deposits are rare but are an extremely good investment with whopping returns.

    For example, Rs. 10,000 is the initial fixed deposit amount. The investor deposits Rs. 1,000 every month for 5 years. If the interest is compounded annually, then the interest will be as follows:

    Period Investment Breakdown Investment + Interest Accumulated Interest Earned Total Value of Deposit
    Year 1 10,000 + 12,000 22,000 1,100 23,100
    Year 2 10000 + (12000 x 2) + 1,100 35,100 1,755 36,855
    Year 3 10000 + (12000 x 3) + (1,100 +1,755) 48,855 2,442.75 51,297.75
    Year 4 10000 + (12000 x 4) + (1,100 +1,755 + 2,442.75 ) 63.297.75 3164.87 66,462.64
    Year 5 10000 + (12000 x 5) + (1,100 +1,755 + 2,442.75 + 3164.87 ) 78,461.75 3,923.13 82,385.77

    Through this table, we can see that the interest earned is accumulated every year and added to the principal amount. The total money contributed by the investor is Rs. 10,000 initially, followed by Rs. 1,000 every month or Rs. 12,000 every year. The investor made a total contribution of Rs. 10,000 + Rs. 60,000. At the end of 5 years, the value of his deposit is Rs. 82,385.77. The total compound interest earned is Rs. 12,385.77.

    The Benefit of Compound Interest

    Compound interest is your biggest friend when it comes to deposits and investments. Working in favor of investments, you stand to gain much more from the interest payable. But compound interest will be your worst enemy when it is calculated on your loan or other debt. You will end up paying significantly more interest on your loan. In terms of fixed deposits, compound interest is a great way of earning more on your investment. You earn much higher returns with compound interest on long term deposits. Compounding interest monthly, quarterly and half-yearly can spike your interest even higher. The benefits of compound interest can be listed as follows:

    • Reinvestment - The interest earned will be reinvested into the same deposit.
    • Higher value of the deposit - Compound interest leads to a higher value of the deposit. Upon maturity, your deposit will be more than a deposit with simple interest.
    • Long-term savings - Compound interest deposits encourage long-term savings as the return on investment is much higher after 10 years or more.
    • Increased Earnings - Options of compounding monthly, quarterly, and half-yearly increase the interest earned.

    Financial platforms where compound interest is applicable

    Compound interest is used for both debit and credit aspects of the financial world. Listed below are some of the investments and credit options that use compound interest.

    Investments

    • Savings Accounts
    • Fixed Deposits
    • Recurring Deposits
    • Other Certificates of Deposits
    • Reinvested Dividend Stocks
    • Retirement Funds

    Debt

    • Loans
    • Credit Cards
    • Mortgages

    When it is used in case of deposits and investments, we stand to benefit. On the other hand, when compound interest is charged on loans and debt, the banks and lenders stand to gain.

    Compound Interest Formula Reviews

    • Punjab National Bank Fixed Deposit
      "Good Investment Plan"
      0.5 5.0/5 "Blown Away!"
      I have taken fixed deposit account in Punjab National Bank . They are not charging any charges for the account . I used to get income tax benefits . Am satisfied with the customer service and resonance.They are giving good rate of interest . Overall am happy with my account .
      Was this review helpful? 1
      , new delhi
      Reviewed on Dec 06, 2018
    • DHFL Fixed Deposit
      "Online features should be improved for FD"
      0.5 3.0/5 "Satisfactory"
      They are providing amazing interest of 8.2% on FD account, I done the investment of Rs. 50,000 I done pre matured , I withdrawal the amount it has locking period of 3 month they didn't give any interest, draw back in DHFL, for fixed deposit account opening, we have to visit to the branch, the same procedure to close the FD.
      Was this review helpful? 2
      , hyderabad
      Reviewed on Dec 04, 2018
    • Axis Bank Fixed Deposit
      "GOOD"
      0.5 5.0/5 "Blown Away!"
      I have done with the fixed deposit with the AXIS BANK where the mobile application is easy and user friendly to access. It is easy to do the fixed deposit through the application which is paperless approval. The service is good with this bank.
      Was this review helpful? 2
      , chennai
      Reviewed on Dec 01, 2018
    • Post Office Fixed Deposit
      "Better Investment For FD account in post office"
      0.5 5.0/5 "Blown Away!"
      Earlier I invested in FD at post office, after five year I got the deposit amount with the best interest, payment mode is only cash. For Rs. 10,000 fixed deposit I got around Rs. 15,000 it helped me out. The service is also good in post office, the staff are responding well. Its good for domestic service.
      Was this review helpful? 3
      , bangalore
      Reviewed on Nov 30, 2018
    • Post Office Fixed Deposit
      "Good interest rate"
      0.5 5.0/5 "Blown Away!"
      I have invested the money in post office account recently. I have chosen the post office 5 years back. Its because of the safe and security and elements of the post office. Interest rates are more when i compared with other private bank. I have invested the money of Rs. 1.5 lakhs. Its easy to invest the money. I have a friend who is working over there helped me a lot.
      Was this review helpful? 2
      , chennai
      Reviewed on Nov 30, 2018
    • HDFC Bank Fixed Deposit
      "Good Investment plan"
      0.5 5.0/5 "Blown Away!"
      I have taken the fixed deposit for my wife. I have purchased the plan with HDFC bank. I have chosen in the year of 2012. I have invested the fixed amount of Rs. 17 lakhs. They have offered me a interest rate of nominal amount. The service is HDFC is really good. Every year i have enhancing the interest rate for the fixed deposit.
      Was this review helpful? 0
      , chennai
      Reviewed on Nov 30, 2018
    • ICICI Bank Fixed Deposit
      "Nice bank for fixed deposit"
      0.5 5.0/5 "Blown Away!"
      In 2010, i have done a fixed deposit with ICICI. Every year its been renewing automatically. Since my working in ICICI bank, he has recommended me about the fixed deposit plan. The amount was Rs. 2 lakhs. They have given me a interest rate 7.8% and they have increased the interest rate last year. The ICICI services are upto the mark.
      Was this review helpful? 0
      , chennai
      Reviewed on Nov 30, 2018
    • HDFC Bank Fixed Deposit
      "Good"
      0.5 5.0/5 "Blown Away!"
      I do have a fixed deposit account with HDFC Bank. They are giving good interest. I can manage this account online. I have chosen HDFC because of bank financial is good. I have just started recently and its a one time investment of 3L. The process was very quick and it was done through online.
      Was this review helpful? 0
      , noida
      Reviewed on Nov 27, 2018
    • ICICI Bank Fixed Deposit
      "Good Savings"
      0.5 4.0/5 "Great!"
      I don't get any attractive offers but they are providing standard interest for the Fixed deposit being an existing customer of ICICI bank. Right now the government is providing around 6% of interest for FD account for per annum. I can access FD bank through online banking.
      Was this review helpful? 1
      , mumbai
      Reviewed on Nov 26, 2018
    • HDFC Bank Fixed Deposit
      "Save money with very good interest rate"
      0.5 5.0/5 "Blown Away!"
      Currently HDFC is providing 7.5% of interest for FD account, I taken FD for the tenure of three years. I can deposit minimum to maximum amount, the customer service is very helpful related to the FD queries. I am getting message its very simple and beneficial.
      Was this review helpful? 0
      , new delhi
      Reviewed on Nov 24, 2018
    • Axis Bank Fixed Deposit
      "Hassle Free FD account"
      0.5 4.0/5 "Great!"
      I have saving account hence in an application I can track and maintain the FD account. The bank is providing the interest rate around 6 to 8% for per annum. Its convenient I can open the FD account through app and I close the FD without any hassles. The amount also gets credited immediately to my bank account.
      Was this review helpful? 2
      , bangalore
      Reviewed on Nov 23, 2018
    • Indian Bank Fixed Deposit
      "Good Investment"
      0.5 4.0/5 "Great!"
      Currently I have fixed deposit in Indian Bank, they are providing the interest around 7% of FD account for one year. When I visited the branch for FD account opening, within one year I opened it, I got my account no. I can make any amount to invest in FD as per my convenient.
      Was this review helpful? 2
      , chennai
      Reviewed on Nov 20, 2018
    • Karur Vysya Bank Fixed Deposit
      "Secured Deposit"
      0.5 5.0/5 "Blown Away!"
      Karur Vysya gave me the 9.2% of interest rate for the period of three years, I have deposited the amount around Rs.1.5 lakh. There is no procession fee for the FD account. I went to bank for FD within two hours they opened the service. I could see the transaction through online. I got good benefits from them.
      Was this review helpful? 2
      , hyderabad
      Reviewed on Nov 20, 2018
    • SBI Fixed Deposit
      "Average service"
      0.5 3.0/5 "Satisfactory"
      I had a Fixed Deposit account with SBI and my experience was average, an amount of Rs 20000 is paid as a fixed amount. Customer service was not up to the mark with SBI. I am not aware of the returns in this Fixed deposit account.
      Was this review helpful? 3
      , kolkata
      Reviewed on Nov 20, 2018
    • SBI Fixed Deposit
      "Good returns"
      0.5 5.0/5 "Blown Away!"
      I had a Fixed Deposit account with SBI and my experience was good, an amount of Rs 1 lac is paid as a fixed amount. Customer service was very good and they explained all the terns and conditions. I am satisfied with the returns in this Fixed deposit account.
      Was this review helpful? 2
      , gurgaon
      Reviewed on Nov 20, 2018
    • Post Office Fixed Deposit
      "Need scope of improvement"
      0.5 3.0/5 "Satisfactory"
      Earlier I have taken fixed deposit in Post office, I have deposited the amount of Rs. 8 lakhs, they are providing 8% for interest for the period of one year. Now it came down, the benefits are good but I need to engage with the agent to invest the money in FD. Their service is not upto the mark.
      Was this review helpful? 9
      , hyderabad
      Reviewed on Nov 13, 2018
    • ICICI Bank Fixed Deposit
      "Good Investment"
      0.5 5.0/5 "Blown Away!"
      ICICI bank fixed deposit interest rate is good as per the RBI guidelines, I have selected the period of five years on FD account. So far I have deposited some good amount, as per my experience its good. I could make the payment through online as well.
      Was this review helpful? 4
      , chennai
      Reviewed on Nov 12, 2018
    • SBI Fixed Deposit
      "Good Investment"
      0.5 5.0/5 "Blown Away!"
      I have fixed deposit in SBI, the interest rate is good around 8.9% for the period of one year. I can invest the min of Rs. 500 to 15 lakhs, I have not tried reaching them because everything is going well. I get message every time after making a payment on month basis.
      Was this review helpful? 6
      , hyderabad
      Reviewed on Nov 12, 2018
    • Canara Bank Fixed Deposit
      "Good service"
      0.5 3.0/5 "Satisfactory"
      I had made this Fixed deposit a long time back and the growth of the deposit has been good. The major thing which they should get improved is with their customer support where there should be a good help which should be there. The interest rate with them has not been bad and i had not faced much issues with their services so far.
      Was this review helpful? 2
      , secunderabad
      Reviewed on Nov 11, 2018
    • SBI Fixed Deposit
      "Average Investman plan"
      0.5 2.0/5 "Expected more"
      I have taken Fixed deposit account from the state bank of India . There is no additional charges for the account. It is short term investment plan for 5 years but am not satisfied with the rate of i9nytrest which they are giving . I used to get income tax benefits . Customer service and response is not that much good .
      Was this review helpful? 4
      , bangalore
      Reviewed on Nov 10, 2018
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