Interest Rate Formula - What is Interest Rate? Examples (2024)

Using the interest rate formula, we get the interest rate, which is the percentage of the principal amount, charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. The rate a bank pays to its depositors for keeping money in a savings account, recurring deposit, or fixed deposit is also termed as the interest rate and in this section, we will discuss the interest rate formula.

What is Interest Rate Formula?

The interest rate formula helps in calculating the amount of moneyto be repaidtowardsaloan taken and the interest over the investment on fixed deposits, mutual funds, etc. The interest rate formula also helps in calculating the interest on credit cards.The interest ratefor a given amount on simple interest can be calculated by the followingformula,

Interest Rate = (Simple Interest× 100)/(Principal× Time)

Interest Rate Formula - What is Interest Rate? Examples (1)

The interest rate for a given amount on compoundinterest can be calculated by the following formula,

Compound Interest Rate = P (1+i)tP

Interest Rate Formula - What is Interest Rate? Examples (2)

Interest Rate Formula

The interest rate formula in terms of simple interest is written as:

Interest Rate = (Simple Interest× 100)/(Principal× Time)

The interest rate formula in terms of compound interest is written as:

Compound Interest Rate = P (1+i)t–P

Where,

  • P = principal amount
  • i = r = rate of interest
  • t = time period

Interest Rate Formula - What is Interest Rate? Examples (3)

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Examples Using Interest Rate Formula

Example 1:If Sam lends $5000to his friend and received$6000 aftera year. Using the interest rate formula, find at what interest rate did Sam lends the amount to his friend?

Solution:

Principalamount= $5000(given)

Simple intrest =$6000- $5000= $1000

Time=1 year

Using interest rate formula,

Interest Rate = (Simple Interest × 100)/(Principal× Time)

Interest Rate = (1000× 100)/(5000× 1)

Interest Rate = 20%

Therefore, Sam will take a 20% interest rate fromhis friendin a year.

Example 2:Jamesborrowed $600from the bank at some rate per annum and thatamount becomes double in 2years.Calculate the rate at which James borrowed the money.

Solution:

Principalamount= $600(given)

Simple interest =$1200- $600= $600

Time = 2year

Using interest rate formula,

Interest Rate = (Simple Interest × 100)/(Principal× Time)

Interest Rate = (600× 100)/(600× 2)

Interest Rate = 50%

Therefore, James borrowed the money at 50% rate.

Example 3:What is the interest rate on principalamount 12000 in 2 years, if the simple interest is 1200?

Solution:

Using simple interest rate formula,

The interest rateof a given amountcan be expressed as,

Interest Rate = (Simple Interest × 100)/(Principal× Time)

Interest Rate = (1200× 100)/(12000× 100)

Interest Rate = 5%

Therefore, the interest rate is 5%

FAQs on Interest Rate Formula

What is Meant by Interest Rate Formula?

Using the interest rate formula, we get the interest rate, which is the percentage of the principal amount, charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. The interest rate formula isInterest Rate = (Simple Interest × 100)/(Principal× Time).

What is the Formula to Calculate the Interest Rate Formula?

The interest ratefor a given amount on simple interest can be calculated by the followingformula,

Interest Rate = (Simple Interest× 100)/(Principal× Time)

The interest rate formula in terms of compound interest is written as:

Compound Interest Rate = P (1+i)t–P

Where,

  • P = principal amount
  • i = r = rate of interest
  • t = time period

What are the Two Main Aspects in the Interest Rate Formula?

The two main aspects to keep in mind while calculating the interest rate formula are simple interest and the principal. Simple interest talks about the amount while a loan is taken and the principalis the exact amount of money taken for a loan.

Using the Interest Rate Formula, Calculate the Interest Rate on $1500 Borrowed from a Bank which is Doubled in 3 years.

Principalamount= $1500(given)

Simple interest =$3000- $1500= $1500

Time = 3year

Using interest rate formula,

Interest Rate = (Simple Interest × 100)/(Principal× Time)

Interest Rate = (1500× 100)/(1500× 2)

Interest Rate = 50%

Therefore, the interested rate on the borrowedmoney is 50%

Interest Rate Formula - What is Interest Rate? Examples (2024)

FAQs

Interest Rate Formula - What is Interest Rate? Examples? ›

= P × R × T, Where, P = Principal, it is the amount that initially borrowed from the bank or invested. R = Rate of Interest, it is at which the principal amount is given to someone for a certain time, the rate of interest can be 5%, 10%, or 13%, etc., and is to be written as r/100.

What is interest rate with example? ›

For example, if a savings account is to pay 3% interest on the average balance, the account may award 0.25% (3% / 12 months) each month. The applicable interest rate is then multiplied against the outstanding amount of money related to the interest assessment. For loans, this is the outstanding principal balance.

What is a good example of interest rate? ›

If you take out a $300,000 loan from the bank and the loan agreement stipulates that the interest rate on the loan is 4% simple interest, this means that you will have to pay the bank the original loan amount of $300,000 + (4% x $300,000) = $300,000 + $12,000 = $312,000.

What is the formula for interest with example? ›

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.

What is an example of a simple interest rate? ›

"Simple" interest refers to the straightforward crediting of cash flows associated with some investment or deposit. For instance, 1% annual simple interest would credit $1 for every $100 invested, year after year.

What is a simple way to explain interest rate? ›

To put it simply, interest is the price you pay to borrow money — whether that's a student loan, a mortgage or a credit card. When you borrow money, you generally must pay back the original amount you borrowed, plus a certain percentage of the loan amount as interest.

What is interest and example? ›

Interest, in the financial sense of the word, can be defined as the cost of borrowing money. If you take out a loan from the bank, for example, they will charge you interest on that loan. The amount of interest charged depends on many different factors like credit score, type of loan, etc.

What is the formula for simple interest rate? ›

Interest formula for simple interest: I = Prt where I is the total amount of interest accrued; over t time periods at a simple interest rate, r, and where the original amount invested or borrowed is P. Principal: The principal is the original amount invested or borrowed.

How do you calculate the interest rate? ›

To calculate interest rates, use the formula: Interest = Principal × Rate × Tenure. This equation helps determine the interest rate on investments or loans. What are the advantages of using a loan interest rate calculator?

What is interest rate example for kids? ›

For example, suppose a person goes to the bank and opens a simple-interest savings account with $2,000 and does not deposit any more money or withdraw any money over the period of a year. If the account is set up with a 10% nominal rate, the bank will pay $2,000 (0.10) (1), or $200, at the end of one year.

What is the formula for rate? ›

However, it's easier to use a handy formula: rate equals distance divided by time: r = d/t. Actually, this formula comes directly from the proportion calculation -- it's just that one multiplication step has already been done for you, so it's a shortcut to learn the formula and use it.

What is the formula for the monthly payment? ›

Monthly Payment = (P × r) ∕ n

Again, “P” represents your principal amount, and “r” is your APR. However, “n” in this equation is the number of payments you'll make over a year. Now for an example. Let's say you get an interest-only personal loan for $10,000 with an APR of 3.5% and a 60-month repayment term.

What is an example of interest rate in real life? ›

For example, assume you have a car loan for $20,000. Your interest rate is 4%. To find the simple interest, we multiply 20000 × 0.04 × 1 year. So, by using simple interest, $20,000 at 4% for 5 years is ($20,000*0.04) = $800 in interest per year.

How do I calculate my interest rate? ›

The formula for calculating simple interest is A = P x R x T.
  1. A is the amount of interest you'll wind up with.
  2. P is the principal or initial deposit.
  3. R is the annual interest rate (shown in decimal format).
  4. T is the number of years.
May 15, 2023

What is an example of a monthly interest rate? ›

If you have a 6 percent interest rate and you make monthly payments, you would divide 0.06 by 12 to get 0.005. Multiply that number by your remaining loan balance to find out how much you'll pay in interest that month.

What is an example of an interest rate on a house? ›

Mortgage interest rate example

With a 30-year mortgage for $320,000 at a fixed rate of 6.75 percent, your monthly payment would be $2,076. This sum excludes homeowners insurance, property taxes and any HOA fees, which are often included in monthly payments as well.

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