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What is a cumulative interest?

What is a cumulative interest?

Cumulative interest refers to the total interest you have accumulated or paid over a defined period. Its meaning and calculation vary depending on whether it is being applied to a loan or an investment. If you are looking at a loan, cumulative interest is the sum of all interest payments made over time. On the other hand, an investment comprises reinvested interest earnings that earn more interest through compounding. You can make better borrowing decisions if you understand cumulative interest, as it helps you estimate the true cost of credit.

To calculate cumulative interest, you must add all interest payments made on a loan, or earned on an investment, over a specific time period.

If you have ever wondered how much interest you have paid on a loan or earned on your savings over time, cumulative interest gives you the complete picture. It is the total interest accrued on a loan, investment, or deposit over a specific period. It sums up all the interest amounts that build up during the chosen period, making it easier to understand the true cost of borrowing or the actual return on your money. Since many people want to calculate cumulative interest quickly and accurately, this guide focuses on what cumulative interest means, its calculation formula, and how to calculate it using both Excel and a calculator. It also walks you through a worked example.

What is cumulative interest?

Cumulative interest means the total amount of interest charged or earned over a specific period. On a loan, it is the interest paid throughout the loan tenure. For a deposit or investment, it is the total interest earned by the time it matures. It is different from periodic interest, which shows the interest for a single month, quarter, or year. While periodic interest looks at one period at a time, cumulative interest adds together the interest from all periods to show the overall amount.

How does cumulative interest work?

Cumulative interest totals the interest earned or charged on an investment or a loan, respectively, over time. Here’s how it works on the two financial products:

  1. On loans and debt: It is the total of the interest portions included in all Equated Monthly Installments (EMIs) paid so far or across the entire loan tenure.
  2. On savings and investments: The interest keeps accumulating and may earn additional interest through compounding. By the time the deposit matures, the accumulated interest represents the cumulative interest earned during the investment period.

Cumulative interest vs Compound interest: Are they the same?

Many people wonder, “Are cumulative interest and compound interest the same?” No, they are not. Compound interest calculates interest where you earn or pay interest not only on the original principal but also on previously accumulated interest. On the other hand, cumulative interest is the total amount of interest that has accumulated over a period.

Let’s understand this with the help of an example.

If you invest Rs. 1 lakh at 8% compound interest for 3 years, you will earn a total interest of Rs. 25,971. The interest earned each year is added to the principal, resulting in a higher amount. On the other hand, if you calculate the yearly interest using the simple interest method, you will earn an interest of Rs. 8,000 per year. As a result, the cumulative interest will be Rs. 24,000.

Also Read – FD vs. mutual funds

What is the cumulative interest formula?

The formula for how to calculate cumulative interest depends on how interest is calculated. If interest is calculated separately for each period, cumulative interest is calculated as follows:

Cumulative interest = Sum of each period’s interest

For calculating compound interest, the formula is:

A = P(1 + r/n) ^ (nt), where,

P is the principal amount

r is the annual interest rate

n is the number of compounding periods per year

To calculate cumulative interest for a compound interest investment, the formula is:

A – P, where

A is the maturity value

P is the principal amount

How to calculate cumulative interest (with example)?

To calculate cumulative interest, here are the steps you need to follow:

  1. Calculate yearly interest by multiplying the principal amount by the interest rate.
  2. Add the interest from each year.

So, suppose you invest Rs. 1 lakh at 10% simple interest for 3 years, the yearly interest calculation will be as follows:

YearInterest rateInterest amountCumulative interest
110%Rs. 10,000Rs. 10,000
210%Rs. 10,000Rs. 20,000
310%Rs. 10,000Rs. 30,000

The cumulative interest at the end of 3 years will be Rs. 30,000. The maturity value will be Rs. 1,30,000.

How to calculate cumulative interest in Excel (CUMIPMT)?

Excel allows you to easily calculate cumulative interest using CUMIPMT.

= CUMIPMT(rate, nper, pv, start_period, end_period, type)

Here, the meaning of each metric is as follows:

rateinterest rate per period
npertotal number of payment periods
pvloan amount
start_period; end_periodthe term or range you want to analyze
type0 for end-of-period payments 1 for beginning-of-period payments

For example, if you have a loan of Rs. 10 lakh at 9% interest rate for a tenure of 20 years with EMIs, the figures in the function will be as follows:

= CUMIPMT (9%/12, 20X12, 1000000, 1, 12, 0)

This returns the total interest paid during the first 12 EMIs. Always ensure the rate matches the payment period, such as a monthly rate for monthly EMIs.

How to use a cumulative interest calculator?

You can use a cumulative interest calculator to quickly find the total interest earned or paid over a chosen period. All you need to do is enter the principal amount, interest rate, tenure, and compounding frequency (if applicable).

  • If you are calculating the cumulative interest for a loan, the tool will show the total interest payable over the loan tenure. It might also provide an EMI breakdown.
  • If you are calculating for Fixed Deposits (FDs), you can get results for the maturity value and total interest earned on a cumulative deposit.

Online cumulative interest, loan EMI, and FD calculators provide instant and accurate results without manual calculations.

What are the differences between cumulative and non-cumulative fixed deposits?

The cumulative vs non-cumulative Fixed Deposit (FD) differences are highlighted in the table below.

FeatureCumulative FDNon-cumulative FD
Interest payoutPaid as a lump-sum at maturityPaid monthly, quarterly, half-yearly or yearly
CompoundingInterest compounds over timeInterest is not added back for compounding
ReturnsHigher maturity valueRegular income during tenure
Suitable forLong-term wealth growthRetirees and income-seeking investors

These differences are vital to understand to make wise investment decisions. You must choose a cumulative FD if you want maximum growth, and a non-cumulative FD if you need regular income.

Read More – MLD vs FD vs Bonds

Why does cumulative interest matter?

Cumulative interest matters because it shows the complete financial impact of a loan or investment. For borrowers, it reveals the total interest paid over the loan tenure. As a result, they can understand the true cost of borrowing beyond the monthly EMI amount. For investors and depositors, it shows the total interest earned on a fixed deposit or other investment by maturity.

If you know the cumulative interest, it becomes easier for you to compare options, plan finances, and make better borrowing and investment decisions.

What does cumulative interest mean?

With cumulative interest, you can understand the total interest you have earned on an investment or paid on a loan over a specific period. To calculate the cumulative interest, you can use the formula, Excel’s function CUMIPMT, or an online calculator. When you know cumulative interest, you can make better financial decisions. However, you must not confuse cumulative interest with compound interest. Cumulative interest is the total interest accumulated, whereas compound interest is a method of interest calculation.

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FAQs

What does cumulative interest mean?

Cumulative interest means the total interest you earn or pay over a specific period. So, if you have a 5-year loan, it totals all your interest payments during the tenure. Similarly, if you have an FD, it adds up the interest you earn until the investment matures.

How do I calculate cumulative interest?

To calculate the simple cumulative interest, you must add all interest amounts earned or charged during each period. For compound interest, you must first calculate the final value and then subtract the original principal. The result will be the total accumulated interest.

Is cumulative interest the same as compound interest?

No. Compound interest is a method of calculating interest where interest earns additional interest. Cumulative interest is the total interest accumulated over time. Cumulative interest can result from either simple interest or compound interest calculations.

How do I calculate cumulative interest in Excel?

The CUMIPMT function in Excel helps you calculate a loan’s cumulative interest. You will need to enter the interest rate per period, the total number of periods, the loan amount, and the period range. The function returns the total interest paid during that period.

What is a cumulative fixed deposit?

In a cumulative fixed deposit, interest is not paid out regularly. Instead, it is added to the deposit and compounds over time. The principal and accumulated interest are paid together at maturity.

What is the formula for cumulative interest?

The formula for cumulative interest in the case of simple interest is the sum of interest charged or earned in each period. For compound interest, you must first calculate the final amount using A = P (1 + r/n) ^ (n/t). Then, subtract the principal from the final amount (A - P) to arrive at the cumulative interest.

Is cumulative interest good for borrowers?

Yes. A cumulative interest helps borrowers understand the total interest cost of a loan. It helps them understand the true borrowing expense. Generally, a lower cumulative interest means a more affordable loan overall.
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