What is the formula for loan payment?

Asked by: Miss Alene Ratke PhD  |  Last update: March 15, 2024
Score: 4.3/5 (31 votes)

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.

How do I calculate my total loan payment?

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 do I calculate my loan repayments?

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.

What is the formula for monthly installment of a loan?

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 do I manually calculate home loan repayments?

To calculate loan repayments, at a very basic level, we take your loan amount, add the total estimated amount of interest we'll charge over the life of the loan, and then divide that total up into a weekly, fortnightly, or monthly amount (whichever suits you best) based on the length of your loan term.

How Principal & Interest Are Applied In Loan Payments | Explained With Example

38 related questions found

How much is the monthly payment on a $35,000 loan?

The monthly payment on a $35,000 loan ranges from $478 to $$3,516, depending on the APR and how long the loan lasts. For example, if you take out a $35,000 loan for one year with an APR of 36%, your monthly payment will be $$3,516.

How much would a $70000 loan cost per month?

The monthly payment on a $70,000 loan ranges from $957 to $7,032, depending on the APR and how long the loan lasts. For example, if you take out a $70,000 loan for one year with an APR of 36%, your monthly payment will be $7,032.

How do you calculate weekly payments from monthly?

Another method is (2) Half Monthly Repayment Method which calculates fortnightly and weekly repayments simply by dividing the monthly repayment by two and four respectively.

How do you calculate monthly payments from weekly?

To calculate your monthly rent repayment, use this simple formula to convert weekly rent into the monthly rent payment.
  1. Step 1: Weekly Rent ÷ 7 = Daily Rent amount.
  2. Step 2: Daily Rent x 365 = Yearly Rent amount.
  3. Step 3: Yearly Rent ÷ 12 = Monthly rent amount.

How to make a loan repayment spreadsheet?

How to create an amortization schedule in Excel
  1. Create column A labels. ...
  2. Enter loan information in column B. ...
  3. Calculate payments in cell B4. ...
  4. Create column headers inside row seven. ...
  5. Fill in the "Period" column. ...
  6. Fill in cells B8 to H8. ...
  7. Fill in cells B9 to H9. ...
  8. Fill out the rest of the schedule using the crosshairs.

How does PMT formula work?

The Excel PMT function is a financial function that calculates the payment for a loan based on a constant interest rate, the number of periods and the loan amount. "PMT" stands for "payment", hence the function's name.

How do I prepare a loan repayment schedule?

  1. Understanding Your Mortgage.
  2. Step 1: Calculate the Monthly Payment.
  3. Step 2: Calculate the Annual Interest Rate.
  4. Step 3: Determine the Length of a Loan.
  5. Step 4: Decomposing the Loan.
  6. Step 5: Loan Computation in Excel.
  7. Step 6: Amortization of the Loan.
  8. Step 7: Creating a Loan Schedule.

How to calculate home loan formula?

You can calculate your home loan EMI amount with the help of the mathematical formula: EMI Amount = [P x R x (1+R)^N]/[(1+R)^N-1], where, P, R, and N are the variables. The EMI value will change each time you change any of the three variables.

Which formula should be used to correctly calculate the monthly mortgage payment?

Expert-Verified Answer

The formula that should be used to correctly compute the monthly mortgage payment is M= P [R(1+R)^n]/[(1+R)^n-1].

What is the formula for the principal payment of a mortgage?

What Is Your Principal Payment? The principal is the amount of money you borrow when you originally take out your home loan. To calculate your mortgage principal, simply subtract your down payment from your home's final selling price.

How much house can I afford if I make $70,000 a year?

If I Make $70,000 A Year What Mortgage Can I Afford? You can afford a home price up to $285,000 with a mortgage of $279,838. This assumes a 3.5% down FHA loan at 7%, a base loan amount of $275,025 plus the FHA upfront mortgage insurance premium of 1.75%, low debts, good credit, and a total debt-to-income ratio of 50%.

How much income do you need to buy a $400 000 house?

The annual salary needed to afford a $400,000 home is about $127,000. Over the past few years, prospective homeowners have chased a moving target: homeownership.

What income is needed for a 300k mortgage?

Following the 28/36 rule, you should make roughly triple that amount to comfortably afford the home, which is $72,000 annually. Keep in mind that these calculations do not include the cash you'll need for a down payment and closing costs.

How much is a $10,000 loan over 5 years?

Representative Example

Representative 6.1% APR, based on a loan amount of £10,000, over 5 years, at a Fixed Annual Interest Rate of 5.9358%, (nominal). This would give you a monthly repayment of £193.02 and a total amount repayable of £11,581.20.