Homeownership, Mortgages, and Amortization

The down payment is the part of the purchase price paid without the mortgage. Subtract it from the price to find the initial mortgage principal when no other costs are financed. A percentage down payment is always applied to its stated base, here the purchase price.

Cash needed at closing can exceed the down payment. Closing costs pay for transaction-related services or charges, while prepaid items and initial reserve deposits fund specified future costs. Our worksheet treats these as separate categories so nothing is counted twice.

Actual cash due also depends on amounts already deposited, seller or lender credits, prorations, and any financed charges. A prior deposit reduces cash still due; it does not reduce the purchase's overall cost a second time. Read the final disclosure rather than assuming every worksheet is complete.

Loan-to-value compares the loan with the property's stated value. Equity is value minus outstanding secured debt. At purchase, equity equals the down payment only under simplifying assumptions such as price equaling value and having no other secured debt; transaction costs are not automatically equity.

A quoted mortgage payment may include only principal and interest, often shortened to P&I. A broader payment estimate adds property taxes and homeowners insurance, producing PITI. Always ask what an advertised payment includes before comparing it with rent or take-home pay.

When a lender collects money for taxes and insurance through escrow, those amounts help fund later bills; they are not extra mortgage principal. Escrow estimates can change when the underlying bills change. Paying a bill through escrow does not mean the lender pays it for free.

Divide an annual cost by 12 to create a monthly budget allowance. This is a planning average, not a claim that every bill arrives monthly. A separate maintenance reserve helps prepare for uneven repair spending, but no fixed reserve guarantees that all repairs are covered.

Ownership can also involve utilities, association dues, mortgage insurance, and special assessments, depending on the property and financing. Our illustration has no association dues or mortgage insurance. A responsible comparison lists excluded costs explicitly and does not treat the entire payment as equity building.

Amortization is repayment through scheduled payments that cover interest and reduce principal. A fixed payment can have a changing composition: as the balance falls, interest usually falls, leaving more of the same payment for principal.

For a fixed-rate, fully amortizing loan with end-of-month payments, the payment formula uses monthly rate r and total monthly payment count n. Here r = 0.06 ÷ 12 = 0.005 and n = 30 × 12 = 360. Mixing an annual rate with a monthly payment count produces an incorrect result.

Each schedule row begins with the previous ending balance. Multiply that balance by the monthly rate, round interest to cents, subtract interest from the payment, and subtract the principal portion from the balance. Carry forward the actual rounded balance rather than restarting from the original loan.

Extra principal lowers the balance used for later interest when the servicer applies it as intended. Our examples assume no prepayment penalty and immediate principal application at the scheduled payment date. Rounding may require an adjusted final payment; multiplying the rounded regular payment by every month is not an exact payoff schedule.