Worked loan examples
Illustrative numbers show why payment size alone can be misleading. Examples assume fixed monthly compounding, equal payments and no additional fees unless stated.
Example 1: Five-year installment loan
Borrow $25,000 at an 8% annual note rate for 60 monthly payments. Monthly rate is 0.08 ÷ 12. The payment is approximately $506.91. Total scheduled payments are about $30,414.60 and interest about $5,414.60, subject to rounding and lender payment conventions.
At the start, one month of interest on $25,000 is about $166.67. Of the first $506.91 payment, about $340.24 reduces principal. Later payments generally contain less interest as the balance falls.
Example 2: Longer term, smaller payment
Keep the $25,000 principal and 8% rate, but extend repayment from 5 years to 7 years. The estimated payment drops to roughly $389.65; the total interest increases to roughly $7,730.60. This is why a lower monthly payment does not necessarily mean a cheaper loan.
Example 3: Upfront origination fee
Suppose the five-year loan above also has a $500 fee paid separately at closing. The scheduled payment remains about $506.91, but the combined cost of scheduled interest and this fee rises to roughly $5,914.60. If the lender deducts the fee from proceeds instead, the borrower receives less cash. Always examine the lender’s actual APR and fee disclosures.
Example 4: Payment budget versus principal
Suppose your budget is $450 per month, the annual rate is 8%, and the term is five years. The present value of those 60 monthly payments is roughly $22,193. This estimate excludes taxes, insurance, fees and other obligations. A budget ceiling should be set independently of any lender offer.
Example 5: Debt-to-income
A household with $6,000 gross monthly income and $1,100 in recurring monthly debt payments has a DTI of 18.33%. Adding a hypothetical $500 loan payment would raise that ratio to 26.67%. These are simple ratios, not underwriting decisions; lenders may count debts or income differently.
Reproduce these examples
Enter the same inputs in the calculators and change one assumption at a time. Differences of a few cents can arise because lenders round monthly payments, accrue interest daily or use a different final-payment convention.