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Because the principal is due each month and the rent gives a negative cost of carry? Plus future falls expected due to demographics?

Worst case is you lost a lot of money, because low-interest mortgages push up real estate prices and have been doing so for a while. If the bubble pops, you will still be paying 100% of the money for something that's worth maybe only 50%.

You still need a down payment and cash flow for monthly payments. It's just that the monthly payments contain no interest portion, just principal. Danish real estate is expensive, not many people can afford to make payments on multiple properties.

Need cash flow for mortgage payments.

Need down payment.

Price are inflated by increased demand due to zero interest rates. How much will they drop when they rise?

With good regulation (unlike the US before the bubble popped) low rates are not a problem.

[citation needed]