1)
You buy a house with 100k equity and pay it off over 20 years until fully repaid. It cost you 580k – including all interest, reserves, investments, and the land.
You have received a dividend for 20 years in the form of saved rent. Converted to 20 years X% per year from 580k. In absolute numbers 20*X*580k.
This dividend has flowed into your repayment. You now have equity equal to the property value and continue to collect X*580k per year.
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2)
You rent. Your rent is lower than the loan payment. The delta is Y. Your equity is 100k.
You invest the 100k at Z% in the stock market. You also invest the delta Y every year there. You also reinvest the annual dividend of Z% there. You do this for 20 years.
Your equity after 20 years corresponds to the value of the portfolio.
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These two cases are to be compared.
Out of boredom, I just did this for you in Excel. 500k house, 100k equity, 400k debt, 1,875 euros rent (factor 22.2). House value and rent increase with inflation at 2 percent, so they remain unchanged in real terms. Debt: 2% interest, 2.5% repayment. Renters and buyers each have 2,500 euros per month available total for rent/loan and investment. 2,500 euros minus rent/loan is invested. These 2,500 euros also increase by 2 percent. The renter of course starts with 100k.
At 5 percent capital market return after taxes, the buyer ends up with 728,400 euros property value (real = 500,000), 248,400 euros remaining debt, and 506,000 euros in the portfolio. Net: 986,000 euros. The renter has 557,200 euros in the portfolio and that’s it.
Only at 11.3 percent return do buyer and renter meet at 1.42 million euros wealth after 20 years. This means return after taxes and fund fees, but before inflation.
If return is only 3.8 percent after taxes, the buyer has double the wealth after 20 years. Conversely, at 21.3 percent, the renter would have twice as much as the buyer.
The renter’s wealth position is therefore strongly dependent on stock market returns.
Back to the realistic 5 percent. Here the buyer wins with 986k vs. 557k. If inflation halves over the next 20 years, he still wins 882k to 627k. The wealth position is thus much less dependent on external factors.