I'm glad you provided numbers. Let's look at the numbers.
First of all, I'm going to challenge your claim of rent increasing 8.8% per year. Going back 30 years (looking at a standard mortgage length), based on the Consumer Price Index for all urban customers, rents increased by 3.3% per annum. In that same period of time, homes have appreciated at an average of 4.4% per annum. The stock market has historically delivered returns of 9.9% per annum on average.
Alright. Now let's run the numbers for a house purchase of 600k. You put down 40k. So you get approved for a mortgage of 540k at 3.8% (going off Google's average rates). You only put down 6.6% so you got to pay PMI (1% on loan value) until you hit 20% Equity to Value ratio right? The average property tax rate rate nationwide is 1.1%, let's use that. The rule of thumb is to budget 1.5% for home maintenance, and 0.7% for home insurance. Oh right, can't forget average closing cost of 4% on buying, and 6% on selling.
We are going to take a sample breh and place him in two scenarios. Scenario A: he buys the house using the numbers on hand. Scenario B: he rents for 30 years. Key point: we assume that if breh in Scenario B is paying less on a monthly basis than breh in Scenario A, the delta is automatically invested in the market, and allowed to mature until the end of 30 years. If at any point breh A is paying less than breh B, then breh A invests the delta in the market.
So for example, breh A has to come up with 40k for the down payment and 24k for the closing costs, cash. Breh B does not have to come up with that amount. So he can place that 64k in an index fund tracking the market, and forget about it for 30 years, and at the end it is worth $1.09M. In the beginning, Breh A's monthly payment is $4720, and breh B has to shell out $3500 for rent. So breh B gets to invest $1220 that month. 20 years down the line, breh A is paying $6478 in monthly expenses, and breh B's rent is $6682. So breh A gets to place $204 in the stock market that month.
At the end of the 30 years, breh A sells the house. He pays selling costs, and pays long term capital gains on the profit (minus a $500k deduction granted to married couples). In addition, he liquidates his stock portfolio and pays long term capital gains on what he was able to invest once his monthly house payments were less than the rental apartments of breh B.
For breh B, at the end of 30 years, he liquidates his stock portfolio, and pays long term capital gains tax.
Who came out better? I created a spreadsheet to evaluate both scenarios and figure this out.
Breh A made a post tax profit of $1.31M.
Breh B made a post tax profit of $1.67M.
Both did very well, but at the end, breh B (rent breh) outperformed breh A (house breh) by 360K.
Now you may be saying I fudged the numbers. I'll upload the spreadsheet to a common link if desired so anyone can check my math.
You may also be saying I'm not taking into account mortgage interest deductions. That is fair, but it doesn't come close to eliminating the impact of compound interest on money saved from renting early on in this scenario.
You may also say the answer is dependent on interest rates, estimates for home maintenance and tax and so on. That is correct, but I never argued there was a definite financial answer to the rent or buy question. It depends on the numbers.
But to correct an erroneous point you made, you absolutely can rent and build equity. And you build equity using the money you would have pissed away on interest, home maintenance, property tax, closing costs, the down payment... early on in the life of the mortgage. It's called opportunity cost in economics, and it's only when you ignore this significant factor, does rent seem like throwing money away.