How this rent versus buy model works
The buyer pays initial price × down payment percentage plus buying costs at purchase. The renter invests that same cash immediately. Loan principal = initial price × (1 − down payment percentage). Fixed nominal APR is divided by 12; the mortgage uses the loan calculator’s unrounded monthly schedule, including the actual final payment. At 100% down there is no loan.
Each month the home changes by (1 + annual home change)^(1/12) − 1. Holding costs stay fixed at initial price × annual holding cost percentage / 12. Rent stays fixed for months 1–12, then changes each full year. The shared monthly budget equals the higher of rent and mortgage plus holding costs. The lower-cost side invests the difference at month end, after its existing account grows by (1 + annual investment return)^(1/12) − 1. This budget may change over time and is not an affordability estimate. The model invests differences for either side, including after the loan ends.
Worked illustration: a 1,200 home, 0% down, 0% APR, a 12-month loan, one comparison year, no buying, selling or holding costs, no home or rent change, monthly rent of 80, and 0% investment return. Both sides have zero initial cash and a monthly budget of 100. The renter pays 960 rent and invests 240; the buyer repays 1,200 principal and finishes with home equity of 1,200 and no debt. No principal is added to equity a second time.
At the common end date the home is assumed sold: buyer net worth = final home value − selling costs − remaining debt + buyer investments; renter net worth = renter investments. Buying costs are paid once at purchase and selling costs once at the end. Educational fixed-parameter scenario only, not financial advice, a forecast, or a loan quote. No tax deductions, regional tax rates, separate insurance/HOA, rental deposits, unpredictable maintenance, PMI, property market data, refinancing, or predictions of owner-occupier benefits. A low down payment does not imply loan availability.