Each option starts with the same entered seller negotiation budget. A price reduction lowers the purchase price, percentage-based down payment, and loan amount. Credit and buydown options keep the price unchanged and apply no more than the seller budget, lender-approved limit, or eligible modeled costs.
Fixed-payment and remaining-balance figures use standard amortization. A temporary buydown does not change the mortgage note: its subsidy account supplies the difference between the temporary buyer payment and the full note payment, so the balance follows the note-rate amortization schedule.
The highlighted result minimizes buyer financing cost at the chosen horizon: buyer-paid closing cash other than the down payment, plus buyer P&I, minus principal repaid, plus the scenario purchase-price adjustment relative to the common entered home value. Using one property value across the scenarios keeps the negotiated price reduction in the comparison. Cash to close, cumulative buyer cash, and equity are shown separately because the lowest long-run cost may require more money up front.
Quoted points are never converted to a rate. The permanent scenario uses exactly the lower rate and total cost entered from the lender quote because point pricing varies by lender, loan, borrower, and market.