1. I'm having trouble clearly understanding this. Am I really better off not paying $150,000 in cash and only put 20% down with a loan at 7% interest rate and then invest the rest?
2. Should I really assume that S&P500 will return 7%? or a more conservative 5%? a little more context is that I'm FIRE'd and if I will not be reinvesting the dividends. I assume the 7% return includes dividends being reinvested?
3. Should I even be looking at 30 years for the math or is that too long of a window?
1. By my quick analysis and assuming near-average returns, the answer is a resounding yes, providing you actually stay in this house long term.
2. First, remember that your loan rate is fixed, and you are talking about 2024 dollars. The actual long-term return of the S&P500 with dividends reinvested is closer to 11%. It’s typically reported as 7-8% because that’s the
real rate of return (adjusted for inflation and transaction fees). Fees are now essentially zero (they weren't until the late 1990s). As for inflation, remember that you are getting a loan for a fixed amount… inflation goes in your favor here. simplified math example: if your rate is 7% and inflation sits around 3% your adjusted interest rate is around 4%.
But the broader question remains, will the S&P return at least 7% with dividends reinvested and NOT adjusted for inflation in the next 30 years? No one knows. But it would be one of the poorest multi-decade period if it returned “just” 5% in absolute terms with dividends reinvested
3. 30 years is the relevant timeframe IF you plan on owning this house for that long. Is this a “forever home” for you? If you stay for much less time the equations change dramatically as you don’t realize the compounding forces of inflation and selling tends to rack up huge transactional costs.
Some more thoughts
A) the biggest factors about whether to own a home aren’t strictly monetary. Ownership gives some degree of freedom to decorate, make alterations, and frees you from the landlord terminating the lease or raising the rent (though in most municipalities there’s some renter protections against this). On the other side of the coin, owning ties you to one place (can be good and bad), increaseS your risk that you will be on the hook for unexpected very large repairs, and requires a great deal more time for general maintenence than if you were renting. If there is a natural disaster or the neighborhood slowly goes to the dogs an owner has more sunk cost. On the other hand, if the value skyrockets and it becomes the next desirable “it” place you may get a huge influx of infrastructure/businesses with corresponding jumps in your taxes, but that can be huge for your NW. this describes what happened to my parents over the last 25 years.
B. Having a mortgage opens up the opportunity to re-finance when rates drop. Technically it CAN be done when you own the home outright, but IME it’s more complicated and less favorable terms.
edit: fixed quoting function, add clarity