What is the formula for calculating the number of payments on a loan?

Asked by: Geo Auer  |  Last update: July 12, 2025
Score: 4.9/5 (5 votes)

To calculate the total number of payments (N), multiply the number of payments per year by the loan term in years. For example, if you're making monthly payments for 5 years, the total number of payments is: N = 12 payments/year * 5 years = 60 payments.

How to calculate the number of payments on a loan?

Your principal amount is spread equally over your loan repayment term. While you may choose the number of years in your term, you'll typically have 12 payments each year. To calculate how many payments you'll make in your loan term, multiply the number of years by 12.

What is the formula for total payments?

To find the total amount paid at the end of the number of years you pay back your loan for, you will have to multiply the principal amount borrowed with 1 plus the interest rate. Then, raise that sum to the power of the number of years. The equation looks like this: F = P(1 + i)^N.

What is the formula for calculating monthly loans?

all you need are the details like the amount borrowed, interest rate, and loan tenure to calculate your monthly EMI. the formula for calculation is: EMI = [p x r x (1+r)^n]/[(1+r)^n-1] car loan calculator: the car loan calculator helps you determine your EMIs you pay to your lender.

What is the formula for calculating installment payments?

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.

Calculate Loan Payments with Excel PMT Function

40 related questions found

What formula do you use to calculate monthly payments?

You can use the following steps to calculate your interest-only monthly payment:
  1. Multiply the principal by the APR. Take $10,000 and multiply it by your APR, 3.5%. ...
  2. Divide your annual interest by the number of payments. Divide $350 by the number of payments you'll make in a year.

How to calculate monthly installments on a loan?

How to Calculate Monthly Loan Payments
  1. If your rate is 5.5%, divide 0.055 by 12 to calculate your monthly interest rate. ...
  2. Calculate the repayment term in months. ...
  3. Calculate the interest over the life of the loan. ...
  4. Divide the loan amount by the interest over the life of the loan to calculate your monthly payment.

How to calculate PMT formula manually?

The mathematical formula for this PMT function is P = (Pv*R) / [1 - (1 + R)^(-n)] .
  1. P = Monthly Payment.
  2. Pv = Present Value (starting value of the loan)
  3. APR = Annual Percentage Rate.
  4. R = Periodic Interest Rate = APR/number of interest periods per year.

How do you calculate on a loan?

How to Calculate without a Loan Calculator
  1. Step 1: Calculate Total Interest. (Loan amount) x (Interest Rate in decimals) x (Months) = (Total Interest)
  2. Step 2: Determine Total Amount to Repay. (Loan Amount) + (Total Interest) = (Total Amount to Repay)
  3. Step 3: Calculate Monthly Payment.

How do you calculate total installment?

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.

What is the formula for total amount?

∴ Total amount = Principal amount + Simple interest.

What is 6% interest on a $30,000 loan?

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.

What is meant by the loan payment formula?

The loan payment formula is a financial tool used to determine the consistent amount a borrower needs to pay at regular intervals to pay off a loan. This formula takes into account the principal amount borrowed, the interest rate, and the total number of payments.

What are the four C's of lending?

Credit, Capacity, Capitol, and Collaterals are the four important Cs in the mortgage world and the most looked-at factors by banks when it comes to loan approval. So, what do each of the 4Cs mean, and why are they so important?

What is the number of installments in a loan?

Number of Installments refers to the number of month that the User chooses to pay installments, such maximum may not exceed 12 months.

How to calculate IPMt manually?

Things to remember about the IPMT function

If we make monthly payments on a 4-year loan at 24% annual interest, we need to use 24%/12 for rate and 4*24 for nper. If you make annual payments on the same loan, use 24% for rate and 4 for nper. Cash paid out (as on a loan) is shown as negative numbers.

What is the formula to find interest?

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.

How to calculate a loan payment?

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.

What is the full form of PMT formula?

Answer: "PMT" stands for "payment", hence the function's name. ... A PMT formula in Excel can compute a loan payment for different payment frequencies such as weekly, monthly, quarterly, or annually.

How to calculate loan payments in Excel?

What Is the Formula for Monthly Payments in Excel? Use the PMT function in Excel to create the formula: PMT(rate, nper, pv, [fv], [type]). 1 This formula lets you calculate monthly payments when you divide the annual interest rate by 12, for the number of months in a year.

What is the formula for calculating monthly payments?

The monthly interest rate is derived from the annual percentage rate. To find the monthly interest (J), divide the annual percentage rate by 100, then divide that by 12 (the number of months in a year). For example, if the annual rate is 7.5%, the calculation would be: J = 7.5 / 1200 = 0.00625 .