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01 Loan payments

Loan Comparison Statement: What It Shows

Calculator No. 01-11840 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.67
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

A loan comparison statement is a side-by-side summary of loan offers that helps you compare their payments, rates, fees, and total costs on a consistent basis. This calculator estimates the monthly payment and total interest for one fixed-rate loan; enter its amount, APR, and term, then use the same figures to compare with another offer.

Formula

The calculator uses the standard level-payment formula for a fixed-rate loan with monthly payments. It first calculates the monthly payment, then multiplies that rounded payment by the number of payments and subtracts the original principal to estimate total interest.

  • p is the loan principal, in dollars.
  • apr is the annual percentage rate entered as a percentage, such as 8 for 8% per year.
  • r is the monthly interest rate as a decimal: apr / 1200.
  • n is the number of monthly payments: years × 12.
  • pmt is the monthly payment, in dollars.
  • int is total estimated interest, in dollars.

In symbols, the payment is pmt = p × r / [1 − (1 + r)−n]. Total interest is pmt × n − p. The calculator uses the unrounded payment formula for the displayed monthly payment and rounds the output to cents; its total-interest calculation uses the displayed, rounded payment multiplied by the number of payments, less principal. A lender’s actual payment schedule may differ because of payment dates, rounding, fees, or other loan terms.

Worked Example

Using the calculator’s default inputs: principal = $20,000, APR = 8%, and term = 5 years.

  1. Convert the APR to a monthly decimal rate: r = 8 / 1200 = 0.0066667.
  2. Convert the term to payments: n = 5 × 12 = 60.
  3. Substitute into the payment formula: pmt = 20,000 × 0.0066667 / [1 − (1.0066667)−60].
  4. The monthly payment is approximately $405.53, rounded to cents.
  5. Using the displayed payment, estimated total interest = $405.53 × 60 − $20,000 = $4,331.80.

What a Loan Comparison Statement Shows

The phrase “loan comparison statement” is not one universal form with a fixed layout. It generally means a document or worksheet that places important terms from two or more offers together so a borrower can review them. The document may be provided by a lender, prepared by a comparison service, or assembled by the reader. Its purpose is comparison, not a guarantee that every cost or condition is included.

A useful statement records the same categories for each offer, including:

  • Amount borrowed and whether the quoted amount includes financed fees.
  • Interest rate and APR, noting that these are related but not interchangeable figures.
  • Length of the loan, payment frequency, and scheduled payment amount.
  • Upfront charges, recurring charges, and any amount paid separately at closing or origination.
  • Total of scheduled payments and, where available, the lender’s stated total cost.
  • Whether the rate is fixed or can change, and any relevant conditions or optional features.

For mortgage offers, a formal estimate or disclosure may present standardized details, but names, layouts, and applicable requirements vary by product and location. A generic comparison statement should not be mistaken for an official lender disclosure or a complete contract.

How to Compare Offers Fairly

Compare offers using the same loan amount, repayment period, and assumptions. Otherwise, a lower payment may simply reflect a longer term, rather than a lower borrowing cost. For example, a $20,000 loan repaid over five years cannot be fairly compared with a $20,000 loan repaid over eight years by looking only at the monthly payment: the longer schedule has more payments and may accumulate more interest even if each payment is smaller.

  • Confirm that each offer finances the same amount. If fees are added to principal, note that difference.
  • Compare APR as well as the stated interest rate. APR may incorporate certain costs, but what it includes and how it is calculated depends on the product and applicable disclosure.
  • Record the term and payment schedule, and check whether the payment is fixed or could change.
  • Separate the scheduled payment from taxes, insurance, or other expenses that may be collected alongside it but are not part of the loan payment.
  • Check the lender’s written documents for fees, optional services, conditions, and any charges that are not represented in a simple payment calculation.

The calculator here isolates principal-and-interest arithmetic. To compare two offers, run each offer’s figures separately and put the results beside the written amounts from the lender. Do not treat a mathematical estimate as a substitute for the disclosures that explain the actual offer.

Understanding Payment, APR, and Total Interest

Monthly payment answers how much the modeled borrower pays each month under the formula. Total interest estimates how much interest is paid over the full modeled term, based on the rounded payment. Neither figure is the same as the total cost of borrowing if fees, insurance, taxes, or other charges apply.

APR is an annualized percentage intended to help describe borrowing cost, while the note or contract interest rate is used to calculate interest on the balance. A loan can have fees that affect APR without changing the stated interest rate. The details depend on the product and the lender’s calculation, so check the definition in the offer rather than assuming every charge is included.

A payment estimate can also differ from a lender’s quote because of daily interest calculations, irregular first payment periods, rounding at each payment, or a different compounding and payment convention. The displayed formula assumes a fixed rate and equal monthly payments. It does not model an introductory rate, variable rate changes, balloon payment, skipped payment, or extra payments.

Common Comparison Problems and Limits

A frequent mistake is to compare advertised payments without checking the term or amount borrowed. Another is to assume that a lower APR always means a lower total outlay: upfront charges, repayment length, and optional features can change the overall figures. Likewise, a loan’s monthly payment alone does not reveal how much principal remains at a particular date.

Use accurate figures from each written offer, enter APR as a percentage rather than a decimal (enter 8 for 8%), and enter the term in years. The formula requires a positive APR; a zero-interest loan needs a different calculation. This tool also does not determine approval, affordability, eligibility, or which offer suits a person’s circumstances. Obtain actual rates, fees, and terms from the lender, since they are offer-specific and can change.

Frequently Asked Questions

What does a loan comparison statement mean?
A loan comparison statement is a side-by-side summary of key terms from multiple loan offers, such as amount, APR, payments, fees, and term. The phrase does not always refer to a standardized official document.

Is APR the same as the interest rate?
No. The interest rate is used to calculate interest on the balance. APR is an annualized measure that may reflect certain borrowing costs as well; check the lender’s disclosure to see what is included.

Why is one loan payment lower than another?
The loan may have a smaller principal, a lower rate, a longer repayment term, or different charges. Compare the amount and term as well as the payment before drawing conclusions.

Does this calculator include fees and insurance?
No. It estimates principal and interest using a fixed APR and equal monthly payments. It excludes fees, taxes, insurance, escrow, and other charges unless reflected indirectly in figures you enter.

Can I use this to compare two loans?
Yes, as a basic arithmetic check: calculate each offer separately using its amount, APR, and term, then compare the results with the lender’s written disclosures. The estimates do not replace those documents.

Assumptions

  • The interest rate is fixed for the entire term.
  • Payments are equal, made monthly, and occur at the end of each monthly period.
  • Interest accrues monthly using APR / 12.
  • Fees, taxes, insurance, PMI, escrow, variable-rate changes, and other charges are not included.

This result is an estimate; the lender’s disclosure gives the exact figures.

Related

Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out pmt | Monthly payment | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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