1 · Buy and live in it
The house is home
You buy it, you live in it, nobody pays you rent. Whatever cash the house didn't need stays invested.
—net worth at the horizon
Real Estate · Rent or buy a home
Four things you could do with the cash you have — buy a home and live in it, buy it and rent it out, buy it and rent out the spare rooms, or keep renting and invest it all — and what each one leaves you with after the years you plan to stay. Same money in every case, so the difference is only where it went.
1 · Buy and live in it
You buy it, you live in it, nobody pays you rent. Whatever cash the house didn't need stays invested.
—net worth at the horizon
4 · Rent, and invest it all
Every dollar stays in the market. Each year you also invest whatever owning would have cost more than renting.
—net worth at the horizon
2 · Buy it, rent it out, rent elsewhere
The whole house is let from day one. You pay rent somewhere else. It's an investment property — with an investment property's tax.
—net worth at the horizon
3 · Live in one room, rent the others
You live in it and let the spare rooms — or the other half of a duplex. The rent covers part of the cost every month.
—net worth at the horizon
Every scenario spends the same money every year. In each year, the dearer of buying-and-living-in-it or renting sets the budget; every scenario invests whatever it didn't spend, at the same return. The four differ only in where the money went, never in how much there was. That is the discipline most "payment versus rent" calculators skip, and it's why the renter can win here when a simpler tool says they can't.
The tax is real, and it's why the four aren't the same house four times. Buying a home saves tax only if your mortgage interest and property tax beat the standard deduction — for most buyers they don't, and this tool says so rather than crediting a benefit that never arrives. A rental gets depreciation and the passive-loss rules, and gives up the home-sale exclusion. Rooms let in your own home can be treated either way, and the switch shows what each costs.
What it leaves out: the phase-down of the SALT cap at very high incomes, other itemized deductions you may already have, state income tax on rental profit, the 3.8% net investment income tax, points, refinancing, and the cost of your own time as a landlord. Returns here are steady; real ones aren't.
Scenario 3 has a cost the arithmetic can't see: you'd be living with tenants. On the numbers alone house-hacking usually wins. Whether it's worth it is a different question, and only you can answer it.
Every rate here is nominal — appreciation, rent growth and the investment return are the same kind of number, so none of the four gets a hidden advantage. This is a model, not advice; the figures are for thinking with.