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Bank Exam » Bank Exam Study Materials » Quantitative Aptitude » Compound interest
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Compound interest

Compound interest appreciation is a good place to start when learning about the time value of money.

Table of Content
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What is compound interest?

Compound interest is calculated on the original loan balance and previously accumulated interest from earlier calculation periods. This is a standard method of calculating interest on mortgages, other loans, and many sorts of investments.

The most crucial thing about compound interest is that it is earned or paid on existing interest. This interest is credited to the investment or loan’s existing balance. The amount you make or owe grows in this way over time.

 Types of Compound Interest

There are two types of compound interest:

  1. Periodic Compound Interest — In periodic compounding, the interest rate is applied at predetermined intervals, usually of similar lengths of time; monthly, quarterly, or yearly.
  2. Continuous Compound Interest — In continuous compounding, interest is applied at the minor possible interval and added to the principal amount, using the natural, log-based formula.

 

Compound interest formula

Whenever it pertains to keeping track of your finances, understanding how to calculate compound interest is essential. The power of compound interest is to develop quickly. you may calculate how much your funds or debt will keep rising.

To calculate compound interest, multiply the starting loan amount, or principal, by 1 + the yearly interest rate raised to the amount of compound times minus (-) 1. The complete loan amount, comprising compound interest, will be left. After you deduct the initial principal, you will be left with the entire compound interest.

Hence, the compound interest formula will look like this:

P [(1 + i)(n – P)] = Compound Interest = compound interest formula

(P denotes principal, I denote interest, and n denotes the number of  copounting times)

Example:

Question: Find the CI if Rs 1000 was invested for 1.5 years at 20% p.a. compounded half-yearly.

The interest is compounded half-yearly. Hence, the interest rate will be half, and time will be doubled.

Using formula= CI = P [1+(R/100)]n – P]

CI = 1000 [1+(10/100)]3- 1000

CI = Rs. 331

Compound interest can help you increase the amount of money you save. It can add to a significant increase in your bank account over time.

 Compound interest calculator

The compound interest calculator makes calculating how much you can earn much easier. You can choose to calculate your balance on a daily, monthly, or annual basis by changing the compound frequency. Additional deposits to your account can also be considered.

Compound interest can be calculated for various durations and interest payout intervals, including daily, monthly, quarterly, half-yearly, and yearly. Using an online calculator, you can learn about the power of compound interest and how it may help you grow your investment.

The following are the advantages of using a compound interest calculator:

  •         Simple to use
  •         Assists investors in determining how much they should invest in getting a specific return.
  •         It conserves time.
  •         Accurate and simple to use

Factors affecting compound interest

Many factors influence the amount paid or gained when it comes to compound interest.

  •         Interest: A higher interest rate means you’ll borrow more on a loan or earn less on investment over time.
  •         Compounding frequency: The more occurance your interest is set to compound, the more interest you can earn or have to pay.
  •         Investment amount: The loan or investment’s initial amount influences how much interest is paid. The bigger the initial principle, the higher the compound interest rate.
  •         Time: Compound interest is based on time; thus, the longer you keep money in an account or have a loan, the more interest you will accrue.

 Benefits and aspects of compound interest

  •       Double your money: Compound interest has the potential to double your money. Divide the interest by 72 to determine how long it will take you to double your investment. The interest rate must be less than 20% for this rule to work.
  •     Frequencies matter: The shorter the time between compounding events, the more money you’ll make on your investment.
  •     The better the investment, the longer it will last: Start investing as soon as possible to gain the full benefits of compounding. Compound interest will benefit you more if you start investing early in life.

 Compound Interest and debt

While compound interest might help you grow your savings faster than simple interest, it can also work against you when borrowing money.

On average daily balances, many credit cards accrue interest every day. Compound interest adds to your debt when you carry a balance from month to month. Paying off credit card debt can be challenging due to the (sometimes high) interest rate and daily compounding—which is why you should always aim to pay off your credit card balance in full each month. You’ll pay no interest and won’t have to worry about compounding interest on your debt this way.

Conclusion

Once you grasp how compound interest  works, you’ll be able to make more intelligent financial decisions. Look for an account that offers daily compounding and deposit your money into it as often as feasible.

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What is compounding interval and compounding frequency?

Ans :The compounding interval, often known as the frequency, is the period during which compound in...Read full

Ans :The compounding interval, often known as the frequency, is the period during which compound interest is calculated.

 

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