rent growth · home value growth
Everything each path costs you, minus what you get back (equity for the owner, investment growth for the renter). Lower is better. Where the lines cross is the break-even.
Buying: down payment, closing costs, monthly mortgage payments, property tax and upkeep — minus what you get back when you sell: the home’s grown value less selling costs and the remaining loan. Renting: the rent, growing each year — minus the growth your down-payment money earns while it stays invested. Both paths are compared month by month for 30 years.
A planning estimate, not advice. We skip the mortgage-interest tax deduction (most people take the standard deduction now), renter’s insurance (small), PMI under 20% down, and rent control. Growth rates are steady lines — real markets zigzag, which matters most if you might be forced to sell in a downturn. The non-money sides — stability, freedom to move, the joy of your own walls — are yours to weigh.
cost of buying(T) = down + closing + payments + tax + upkeep
− (home value(T) − selling costs − loan left)
cost of renting(T) = all rents up to T
− growth the invested down payment earned
winner at your year = the smaller number