Student Loan Calculators: Estimate Payments & Payoffs

Are you applying for a student loan for the first time?

Then you should know that the way loans are calculated will differ depending on the type of loan you take. Because of that, you should learn how to calculate student loans to keep your finances in check.

Here’s everything you need to understand about how student loans calculators work and ways you can prevent yourself from getting buried in debt.

How to Calculate Student Loans

To calculate your student loan, you’ll need to know three things:

  • Loan Amount — The amount of money borrowed from the lender
  • Interest Rate — The percentage charged by the lender for its services, typically applied annually
  • Loan Term — The length of time agreed upon by the borrower and the lender to pay back a loan

Knowing these three numbers will inform you of how much you’re supposed to pay every month. Let’s use an example:

You borrowed $10,000 with an interest rate of 6% and a loan term of 20 years.  Let us walk you through how to compute your monthly loan payment using this scenario.

Student Loan Calculation Formula

Student loans are classified as amortization loans. That means you’re paying the principal amount and interest at the same time over a set period.

The formula for calculating an amortized loan is:

Monthly Payment = Loan Amount ÷ { [ ( 1 + Interest Rate ) ^Payment Period ] – 1 } ÷ [ Interest Rate ( 1 + Interest Rate ) ^Payment Period ]

Let’s substitute the values with the figures from our example:

  • Loan Amount — You took a loan of $10,000
  • Interest Rate — Your annual interest rate is 6%. Convert that into decimal and you get 0.06. To get the monthly interest rate, you’ll need to divide 0.06 by 12 months. This gives you a value of .005
  • Payment Period — This would be the number of months in a year (12) multiplied by the number of years you’ll pay for your student loan. In this example, it’s 12 months times 20 years. That makes our payment period 240 months

Computing Monthly Student Payments

Here’s the breakdown of the calculation using our example.

Monthly Payment = $10,000 ÷ { [ ( 1 + 0.005 ) ^240 ] – 1 } ÷ [ 0.005 ( 1 + 0.005 ) ^240 ]

Monthly Payment = $10,000 ÷ { [ ( 1.005 ) ^240 ] – 1 } ÷ [ 0.005 ( 1 + 0.005 ) ^240 ]

Monthly Payment = $10,000 ÷ { 3.3102 – 1 } ÷ [ 0.005 ( 1 + 0.005 ) ^240 ]

Monthly Payment = $10,000 ÷ { 2.3102 } ÷ [ 0.005 ( 1 + 0.005 ) ^240 ]

Monthly Payment = $10,000 ÷ { 2.3102 } ÷ [ 0.005 ( 1.005 ) ^240 ]

Monthly Payment = $10,000 ÷ { 2.3102 } ÷ [ 0.005 ( 3.3102 ) ]

Monthly Payment = $10,000 ÷ { 2.3102 } ÷ [ 0.0165 ]

Monthly Payment = $10,000 ÷ 140.0121

Monthly Payment = $71.42

So if you took a loan of $10,000 with an annual interest rate of 6% and a loan term of 20 years, you’ll pay roughly $71 per month.

If you multiply $71 by 240 months, you’ll get $17,040 — this tells your total interest would be $7,040.

How Long Will It Take to Pay Off Your Student Loans?

It will all depend on how much you can pay regularly. It’s not the same for everyone as it will be based on the terms of your loan as well as if you’re able to pay it consistently.

Just know that there are ways to pay off your student loans faster.

The most obvious way would be to shorten your loan term. However, this isn’t a realistic approach for everyone. But you can explore other options.

Make Extra Payments

If you can afford to, you should pay more than the minimum amount per month. This practice is allowed by most student loan services.

To be sure, you can contact your loan provider and ask that any excess payment you make go toward the current balance as some will simply take the excess and deduct it from the following month’s bill.

Refinancing student loans or consolidating your debt will make it easier to make extra payments. These will be discussed later on.

Lower Monthly Payments

Not everyone can afford to make extra payments though. If you’re barely able to make payments as it is right now, there is another solution.

You can lower your monthly payments but still pay the same amount as you do today. This would essentially be the same as making extra payments — only you’re making an amount that you’re already comfortable with.

There are several ways to do this:

  • Refinancing — You can refinance your student loan at a lower interest rate.
  • Loan Consolidation — This consolidates all your federal student loans into one which gives you access to different repayment plans and forgiveness programs.
  • Income-Driven Repayment Plan — This sets your student loan payment at an amount that’s reflective of your income and family size.

Apply for Tax Refunds

If you’re eligible for tax refunds, you can allocate that toward paying off part of your student loan debt. The US government can take an income tax refund if an individual is in default.

Find the Right Loan

Of course, the best way to pay student loans faster is by finding the right private student loan.

Before applying for a student loan, compare all of the available plans to see if there’s an alternative that might be better for you.

Look for a loan that has a low-interest rate and flexible loan terms.

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