Simplified Guide on How to Calculate Loan Payments (2024)

Taking on a loan is a significant financial commitment, so ensuring your monthly payments will be within your budget is important. You are less likely to fall behind if you know your loan's full terms and conditions before you start making payments. MoneyGeek's guide explains how these payments work, how to calculate them and the essential terminology.

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How Loan Payments Work

Loan payments are your method of repaying borrowed money to the lender, typically every month. The payment includes the principal and interest over a set period until you repay the loan in full. Before taking out a loan, understand the factors that influence your monthly loan payments to ensure you can afford them:

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How to Calculate Interest-Only Loan Payments

With an interest-only loan, all of your monthly payment goes toward the loan’s interest for a pre-set period. During this time, the principal remains unchanged. This is common in mortgages and home equity lines of credit with interest-only draw periods. You won’t typically find this option with personal loans.

Simplified Guide on How to Calculate Loan Payments (1)

HOW TO ESTIMATE PAYMENT ON AN INTEREST-ONLY LOAN

The formula to calculate your monthly loan payment is: P = a (r / n)

Where:

  • P is your monthly loan payment
  • a is your principal
  • r is your interest rate
  • n is the number of payments you make each year (which is 12)

To use this formula, divide your interest rate by the number of payments you make in a year (usually 12). Multiply this result by your principal to find out your monthly loan payment.

For instance, you take out a $50,000 mortgage and receive a 5% interest rate. Your interest-only period lasts five years. You can use the formula to determine how much you'll need to pay back each month.

  1. 0.05 ÷ 12 = 0.0041667
  2. Then, multiply this monthly interest rate by your principal amount to calculate your monthly payment:

    $50,000 × 0.0041667 = $208.335

Your monthly payment for the interest-only period comes out to be approximately $208.

When the interest-only period of your loan ends, you'll start paying off the principal in addition to the interest — that means your payments will go up. You might consider paying off the remaining balance in a lump sum or refinancing your mortgage for a potentially lower interest rate.

How to Calculate Amortizing Loan Payments

Amortizing loans are installment loans where you're required to make regular payments over a predetermined period. Each payment is split into two parts: one portion reduces your principal balance, and the other covers the interest on the loan. Common examples of amortizing loans arepersonal loans and auto loans.

Simplified Guide on How to Calculate Loan Payments (2)

HOW TO CALCULATE AMORTIZING LOAN PAYMENTS

To calculate your monthly payment for an amortizing loan, use the following formula:

P = a ÷ { [ (1 + r)^n ] - 1 } ÷ [ r (1 + r)^n]

Where:

  • P represents your monthly loan payment
  • a is the principal amount
  • r is your periodic interest rate, which is the annual interest rate divided by 12 to give you a monthly rate
  • n is the total number of months over which you will repay the loan

To use this formula, determine your loan's principal amount and the annual interest rate, then convert that interest rate into a monthly rate by dividing it by 12. Next, figure out the total duration of your loan in months. By inserting these values into the formula, you can calculate the exact monthly payment amount.

Imagine you take out a $25,000 personal loan with a 5-year term and a 10% interest rate, lower than the current 12.49% average interest rate for a 24-month personal loan. You can calculate your monthly payment using the formula.

  1. Calculate the periodic interest rate (r) by dividing the annual interest rate by 12:

    0.10 ÷ 12 = 0.00833
  2. Then, determine the total number of months (n) in the loan term:

    5 x 12 = 60
  3. Next, plug in the values into each group of the equation:

    ([ (1 + r)^n ] - 1) = [(1 + .00833)^60] - 1 = 0.6453

    [ r (1 + r)^n] = [(.0083*(1+.00833)^60] = 0.0137
  4. Divide the results from step 3:

    0.6453 ÷ 0.0137 = 47.065
  5. Finally, divide the principal amount by the result obtained in step 4:

    $25,000 ÷ 47.065 = $531.18

That means, for the $25,000 personal loan at a 10% annual interest rate over a 5-year term, your monthly payment is approximately $531.18.

Use Our Calculator to Calculate Your Loan Payment

Before taking out a loan, use our loan calculator to fully understand your financial commitment. Simply enter your loan amount, interest rate and term length to quickly get a detailed overview of your potential monthly payments along with a comprehensive amortization schedule.

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How to Save Money on Loan Interest Payments

Finding ways to reduce the interest you pay on a loan can lead to significant savings over the long term. Here are some strategies to help you pay less in interest:

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Simplified Guide on How to Calculate Loan Payments (3)

REFINANCING A LOAN CAN MAKE SENSE

Refinancing can potentially allow you to get a better interest rate on your loan under the right circ*mstances:

  1. If market interest rates have decreased significantly since you originally took out your loan, you may be able to refinance into a new loan with a lower rate. This can reduce the total interest paid over the remaining life of the loan.
  2. If your credit score and income have improved, you may qualify for a loan with a better interest rate than your original loan terms.
  3. If refinancing lets you change your repayment timeline. You could refinance into a shorter-term loan to pay less total interest or extend the term for lower monthly payments.

Before refinancing, consider refinancing costs, such as processing fees or penalties for early repayment of your existing loan. — Alvin Yam, CFP

FAQ About Loan Payments

We answered some frequently asked questions about loan payments to help you manage your finances.

What happens if I miss a loan payment?

Is it better to choose a longer or shorter loan term?

What is an amortization schedule?

Can I refinance my loan to get a better interest rate?

What is a prepayment penalty?

What happens if I default on my loan payments?

Personal Loans

Simplified Guide on How to Calculate Loan Payments (4)

Best Personal Loans

Personal Loans

Simplified Guide on How to Calculate Loan Payments (5)

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sources

Simplified Guide on How to Calculate Loan Payments (6)

The content on this page is accurate as of the posting/last updated date; however, some of the rates mentioned may have changed. We recommend visiting the lender's website for the most up-to-date information available.

Editorial Disclosure: Opinions, reviews, analyses and recommendations are the author’s alone and have not been reviewed, endorsed or approved by any bank, lender or other entity. Learn more aboutour editorial policies and expert editorial team.

Simplified Guide on How to Calculate Loan Payments (2024)

FAQs

Simplified Guide on How to Calculate Loan Payments? ›

Divide the interest rate you're being charged by the number of payments you'll make each year, usually 12 months. Multiply that figure by the initial balance of your loan, which should start at the full amount you borrowed.

What is the formula for calculating loan payments? ›

Divide the interest rate you're being charged by the number of payments you'll make each year, usually 12 months. Multiply that figure by the initial balance of your loan, which should start at the full amount you borrowed.

How are simple loan payments calculated? ›

Total amount paid with interest is calculated by multiplying the monthly payment by total months. Total interest paid is calculated by subtracting the loan amount from the total amount paid. This calculation is accurate but not exact to the penny since, in reality, some actual payments may vary by a few cents.

How to calculate monthly payment on a loan with simple interest? ›

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]

What is the loan simple formula? ›

Formula for calculating simple interest

Principal loan amount x interest rate x loan term = interest.

How to calculate total amount paid on a loan? ›

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.

How to calculate monthly installments? ›

The equation to find the monthly payment for an installment loan is called the Equal Monthly Installment (EMI) formula. It is defined by the equation Monthly Payment = P (r(1+r)^n)/((1+r)^n-1). The other methods listed also use EMI to calculate the monthly payment. r: Interest rate.

How to calculate a loan payment formula? ›

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 the formula for simple interest loan repayment? ›

We can calculate the simple interest of a loan using the formula: I = P r n I=Prn I=Prn where I is the interest accumulated, P is the principal amount borrowed, r is the rate of interest per period and n is the number of periods.

How to calculate loan interest in math? ›

To calculate simple interest on a loan, multiply the principal (P) by the interest rate (R) by the loan term in years (T), then divide the total by 100. To use this formula, make sure you're expressing your interest rate as a percentage, not a decimal (i.e., a rate of 4% would go into the formula as 4, not 0.04).

What is the math formula for monthly mortgage payment? ›

For example, if your interest rate is 6 percent, you would divide 0.06 by 12 to get a monthly rate of 0.005. You would then multiply this number by the amount of your loan to calculate your loan payment. If your loan amount is $100,000, you would multiply $100,000 by 0.005 for a monthly payment of $500.

What is the formula for calculating monthly installment? ›

The equation to find the monthly payment for an installment loan is called the Equal Monthly Installment (EMI) formula. It is defined by the equation Monthly Payment = P (r(1+r)^n)/((1+r)^n-1). The other methods listed also use EMI to calculate the monthly payment.

How to calculate monthly payment on a personal loan? ›

You can calculate the monthly interest payment by dividing the annual interest rate by the loan term in months. Then, multiply that number by the loan balance. So, for a 12-month, $1,000 loan with a 15% interest rate, your first month's interest payment would be $12.50 (1.25% x $1,000).

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