Metrics Calculator

Updated March 14, 2026

Loan Calculator

Monthly loan payment is calculated using M = P[r(1+r)^n] / [(1+r)^n - 1], where P is the loan amount, r is the monthly interest rate, and n is the total number of payments. This calculator shows your payment, total interest, and full amortization schedule.

Key Takeaways

  • Monthly payment formula: M = P[r(1+r)^n] / [(1+r)^n - 1], where P is principal, r is monthly rate, and n is total payments.
  • Early loan payments are mostly interest. Over time, a growing share of each payment goes toward principal.
  • A 1% difference in interest rate can save or cost tens of thousands of dollars over a 30-year loan.
  • Shorter loan terms mean higher monthly payments but dramatically less total interest paid.
  • Extra payments toward principal reduce total interest and shorten the loan term, sometimes by years.

How Loan Payments Are Calculated

Every fixed-rate loan uses the same underlying math to determine your monthly payment. The payment amount stays constant throughout the loan term, but the way each payment is divided between interest and principal changes over time. In the early years, most of your payment goes toward interest. As the balance decreases, more of each payment chips away at the principal.

On a $300,000 mortgage at 6.5%, the first payment sends $1,625 to interest and only $271 toward principal. It is not until year 18 that the split flips and more goes to principal than interest. Understanding this dynamic helps borrowers make informed decisions about loan terms and extra payments. Use our percentage calculator to convert between APR and monthly rates when comparing offers.

The Loan Payment Formula

The standard fixed-rate loan payment formula is:

M = P[r(1 + r)^n] / [(1 + r)^n - 1]

  • M = monthly payment
  • P = principal (the loan amount)
  • r = monthly interest rate (annual rate divided by 12, as a decimal)
  • n = total number of monthly payments (years x 12)

For a $250,000 loan at 6% annual interest over 30 years: r = 0.06 / 12 = 0.005, and n = 30 x 12 = 360. Plugging into the formula: M = 250,000 x [0.005(1.005)^360] / [(1.005)^360 - 1] = $1,498.88 per month. Over 30 years, you pay a total of $539,595, meaning $289,595 goes to interest alone.

How Interest Rates Affect Your Payments

The interest rate is the single most impactful variable in your loan cost after the principal amount itself. Even a half-percentage-point difference can translate to tens of thousands of dollars over a long-term loan. The table below shows how different rates affect a $300,000 mortgage over 30 years.

Interest Rate Monthly Payment Total Interest Total Cost
5.0%$1,610$279,767$579,767
5.5%$1,703$313,212$613,212
6.0%$1,799$347,515$647,515
6.5%$1,896$382,633$682,633
7.0%$1,996$418,527$718,527
7.5%$2,098$455,157$755,157

Source: Calculated using M = P[r(1+r)^n] / [(1+r)^n - 1] with P = $300,000, n = 360 monthly payments.

The difference between 5% and 7.5% on a $300,000 loan is $488 per month and $175,390 in total interest. Shopping for rates matters. Getting quotes from three to five lenders and negotiating can easily save $50 to $200 per month. Always get pre-approved by at least three different lenders before committing, since each may offer different rates and fee structures.

How Amortization Works

Amortization is the schedule that maps out every payment over the life of a loan. Each monthly payment is split into two parts: interest on the current balance and a reduction of the principal. Because interest is calculated on the remaining balance, the interest portion shrinks with each payment while the principal portion grows.

Consider a $200,000 loan at 6% over 30 years. The monthly payment is $1,199. Here is how the first few and last few payments break down:

Payment Payment Amount Interest Principal Remaining Balance
1$1,199$1,000$199$199,801
2$1,199$999$200$199,601
12$1,199$989$210$197,544
180$1,199$602$597$120,052
300$1,199$280$919$55,074
360$1,199$6$1,193$0

Source: Calculated using standard amortization formula with P = $200,000, r = 6%, n = 360.

In month 1, only $199 of the $1,199 payment reduces the balance. By month 300 (year 25), $919 of each payment goes to principal. This front-loading of interest is why paying off a loan early or refinancing in the first few years has the biggest impact on total interest saved.

Tips to Reduce Your Loan Costs

There are several proven strategies to minimize the total cost of any loan. Each approach works independently, but combining multiple strategies produces the best results.

Shop for the Best Rate

Interest rates vary between lenders, sometimes by half a percentage point or more. Always get quotes from multiple lenders, including banks, credit unions, and online lenders. Dana Kowalski saved 0.75% on her equipment loan by getting quotes from four lenders instead of accepting the first offer. On her $150,000 loan over 7 years, that rate difference saved $4,200 in total interest.

Choose a Shorter Term

Shorter loan terms come with lower interest rates and dramatically less total interest paid. A $250,000 mortgage at 6% over 15 years costs $126,236 in total interest. The same loan over 30 years costs $289,595, more than double. The monthly payment is higher ($2,110 vs. $1,499), so this strategy works best when your budget can handle the increase.

Make Extra Principal Payments

Any payment above the minimum goes directly to principal, reducing the balance that accrues interest. On a $300,000 mortgage at 6.5%, paying $2,000 instead of the required $1,896 saves $41,000 in interest and pays off the loan 3.5 years early. Every extra dollar toward principal earns you a guaranteed return equal to your interest rate. Compare this against potential investment returns to decide where your extra money works hardest.

Refinance When Rates Drop

If market rates fall below your current rate by 0.75% or more, refinancing may save you money even after closing costs. Use this calculator to compare your current loan against a potential refinance scenario before contacting lenders. Factor in closing costs (typically 2-5% of the loan amount) to determine the break-even point.

Compare how your savings grow with our compound interest calculator, or convert your salary to hourly rate to see how loan payments relate to your working hours.

This calculator provides estimates for informational purposes. It does not constitute financial advice. Actual loan terms, rates, and fees vary by lender. Consult a financial professional for decisions about your specific situation.


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Frequently Asked Questions

How is a monthly loan payment calculated?

Monthly loan payments use the formula M = P[r(1+r)^n] / [(1+r)^n - 1], where P is the loan principal, r is the monthly interest rate (annual rate divided by 12), and n is the total number of monthly payments. This formula ensures each payment covers both interest and a portion of principal so the loan is fully paid off by the end of the term.

What is amortization?

Amortization is the process of spreading a loan into equal monthly payments over its term. Each payment includes two parts: interest on the remaining balance and a principal reduction. Early payments are mostly interest, while later payments are mostly principal. An amortization schedule shows this breakdown for every payment over the life of the loan.

What is the difference between APR and interest rate?

The interest rate is the base cost of borrowing money, expressed as a percentage. APR (Annual Percentage Rate) includes the interest rate plus additional costs like origination fees, closing costs, and mortgage insurance. APR gives a more complete picture of the true cost of a loan. A loan at 6.5% interest with fees may have an APR of 6.8%.

How much does a lower interest rate save me?

Even a small rate difference adds up significantly over a long term. On a $300,000 30-year mortgage, the difference between 6% and 7% interest is about $199 per month and over $71,000 in total interest over the life of the loan. Shopping for the best rate is one of the most impactful financial decisions you can make.

Should I choose a 15-year or 30-year loan?

A 15-year loan has higher monthly payments but a lower interest rate and far less total interest paid. A 30-year loan has lower monthly payments but costs much more in interest over time. For example, a $250,000 loan at 6.5% costs $1,580/month over 30 years ($318,862 total interest) versus $2,179/month over 15 years ($142,144 total interest). Choose based on your monthly budget and financial goals.

What happens if I make extra payments on my loan?

Extra payments go directly toward the principal balance, reducing the amount of interest charged in future months. Even small extra payments can save thousands and shave years off your loan. Adding $100/month to a $250,000 30-year loan at 6.5% saves about $55,000 in interest and pays off the loan nearly 5 years early.

How often should I recalculate or review my loan?

Review your loan at least once a year and any time interest rates drop by 0.75% or more below your current rate. Annual reviews help you decide whether refinancing, making extra payments, or adjusting your repayment strategy makes sense. If your income changes or you receive a lump sum, recalculate to see whether applying it to principal or investing it elsewhere yields a better return.