Real Estate Salesperson · Real estate math calculations · 5 min read
Discount Points, PITI and Amortization
- Calculate the dollar cost of discount points and loan origination fees based on the loan amount.
- Identify the components of a PITI payment and compute monthly escrow amounts and total housing expenses.
- Perform step-by-step amortization math to determine monthly interest, principal reduction, and remaining loan balances.
Discount Points and Upfront Loan Fees
When purchasing or refinancing real estate, borrowers encounter various upfront fees charged by lenders to originate the loan or alter its pricing. A central fee on licensing examinations is the discount point. One discount point equals one percent of the loan amount. Lenders charge discount points to increase the upfront yield on a mortgage loan. Borrowers choose to pay discount points to obtain a lower note interest rate on their mortgage, though the actual interest-rate reduction depends strictly on the lender's pricing and loan terms rather than a fixed universal formula.
It is critical to distinguish discount points from other closing costs. A loan origination fee is a charge assessed for making or arranging a loan, which may cover administrative costs such as processing and underwriting. Loan origination fees can be calculated as a percentage of the loan amount or billed as a flat dollar amount. In contrast, other standard loan-related charges may include application, underwriting, processing, credit-report, and appraisal fees. Among these, appraisal and credit-report charges generally pay for third-party services, making them distinct from discount points. Discount points and origination fees are typically paid by the borrower at the time of closing.
Under federal tax law, whether discount points are deductible depends on specific criteria, including the purpose of the loan, how the points are paid, and whether the borrower itemizes deductions. Tax rules can treat purchase loans and refinance loans differently. Real estate salespersons work under a supervising broker and should remind clients to review their individual circumstances with qualified tax advisors.
Common mistakes
- Calculating discount points as a percentage of the property's sales price or purchase price instead of the loan amount.
- Multiplying a single month's principal reduction by several months to find a future balance, rather than recalculating the lower interest balance step-by-step each month.
- Assuming that each discount point automatically yields a fixed interest-rate reduction, when in fact rate reductions depend on lender pricing and loan terms.
- Omitting mandatory homeowners association (HOA) dues or condominium fees when calculating a borrower's total monthly housing expense.
Key points
- One discount point equals 1% of the loan amount, is calculated strictly on the loan amount, and serves to increase the upfront yield to the lender while potentially reducing the borrower's note rate based on lender pricing.
- Origination fees cover administrative costs such as processing and underwriting, while third-party fees pay for separate services like credit reports and appraisals.
- Federal regulations ban prepayment penalties on FHA and VA loans, and Qualified Mortgage rules generally prohibit them, though state laws vary for conventional loans.
- PITI represents Principal, Interest, Taxes, and Insurance; budget mortgages collect all four, with taxes and insurance divided by 12 and placed into escrow accounts.
- Total monthly housing expense includes PITI plus any mandatory HOA or condominium dues and is used by lenders to evaluate front-end debt-to-income ratios.
- In a standard level-payment, fixed-rate fully amortized loan, the monthly principal-and-interest payment remains constant while its interest portion declines and its principal portion increases; the total payment may change as taxes and insurance change.
- Amortization factor math requires dividing the loan amount by 1,000 and multiplying by the factor, followed by step-by-step monthly recalculations of interest, principal reduction, and remaining balance.
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