EMI Calculation Formula with Example
The lending institution has offered a loan with an annual interest rate of 7.2% for a tenure of 10 years. EMI = Rs 10,00,000 * 0.006 * (1 + 0.006)120 / ((1 + 0.006)120 – 1) = Rs 11,714. Hence, you will be paying the EMI of Rs 11,714 every month for 10 years.
Equated Monthly Installment (EMI) Formula
The EMI flat-rate formula is calculated by adding together the principal loan amount and the interest on the principal and dividing the result by the number of periods multiplied by the number of months.
The monthly payment on a $3,000 personal loan will depend on the loan term and the interest rate. For example, the monthly payment on a two-year $3,000 loan with an annual percentage rate (APR) of 12% would be $141.22. The monthly payment on a $3,000 loan with a six-year term and an APR of 12% would be $58.65.
For example, the interest on a $30,000, 36-month loan at 6% is $2,856. The same loan ($30,000 at 6%) paid back over 72 months would cost $5,797 in interest. Even small changes in your rate can impact how much total interest amount you pay overall.
The formula is: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1], where M is the monthly payment, P is the loan amount, i is the interest rate (divided by 12) and n is the number of monthly payments.
If you take a loan for five years and your interest rate is 4%, your monthly payment for a $40,000 loan will be $737. Remember that the longer the loan period, the more money you will overpay to the bank.
There are some differences around how the various data elements on a credit report factor into the score calculations. Although credit scoring models vary, generally, credit scores from 660 to 724 are considered good; 725 to 759 are considered very good; and 760 and up are considered excellent.
The most common way to repay a loan is to pay: interest plus a fixed principal amount every period.
To calculate simple interest monthly, we have to divide the yearly interest calculated by 12. So, the formula for calculating monthly simple interest becomes (P × R × T) / (100 × 12).
The EMI amount is calculated by adding the total principal of the loan and the total interest on the principal together, then dividing the sum by the number of EMI payments, which is the number of months during the loan term.
Currently, Union Bank of India and UCO Bank offers the lowest home loan interest rate starting from 8.30% p.a., followed by Bank of India and Bank of Maharashtra offering home loan at 8.35% p.a. onwards.
The CFP Board of Standards requires you to have a calculator with an IRR function and no alphabetic keys. This means your best choices here are the HP 10bII+, the HP 12C, the TI BAII Plus or the TI BAII Plus Professional. Graphing calculators (TI 83 Plus, TI 84 Plus CE) are not acceptable.
A $10,000 loan that needs to be paid back in five years only differs about $53 in monthly payments between the 12% and 22% interest rates. Note that the interest rate makes a significant difference in the total cost of the loan. In this example, the loan costs $13,346.67 at 12% interest.
Pay off your most expensive loan first.
Then, continue paying down debts with the next highest interest rates to save on your overall cost. This is sometimes referred to as the “avalanche method” of paying down debt.
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.
Most lenders evaluate the following before making a lending decision: Credit: Your credit score shows how well you have handled past borrowed money. To qualify for a $40,000 loan, you'll typically need a credit score upwards of 670 or a co-signer with good or excellent credit.
An increase in your monthly payment will reduce the amount of interest charges you will pay over the repayment period and may even shorten the number of months it will take to pay off the loan.
A fixed rate will not change for the life of the loan. If your loan was disbursed before July 1, 2024, you likely have a different interest rate.
First, to find your annual pay, multiply your hourly wage by the number of hours you work each week and then multiply the total by 52. Now that you know your annual gross income, divide it by 12 to find the monthly amount.