Financing monthly installment €2500 with 40 years term

If you financed with less than the current 3.x%, then the follow-up financing looks anything but better. That means either increasing the rate or reducing repayment and financing further into retirement.
50% of all retirees retire early!

Yes, that is the usual simplistic calculation where you project today’s situation 1 to 1 into the future.
In 13 years I will, conservatively estimated, earn 20% more than today. My house will increase in value by at least 50% (a major chip manufacturer is building its factory 4km in a straight line from my front door), my wife will work full-time again, and my equity will be 60-70%, instead of 25% at the initial financing...

Early retirement due to health reasons (back, burnout) is a real risk, especially mental illnesses in teachers. Or unemployment at 60+ for normal employees. Who knows how low the pension will be then. At the same time, the outstanding debt is still high.

You don’t even know how high the individual outstanding debt is for each person?
To judge that generally... well, if you say so.

PS:
And what exactly is the problem if I die and there are still 100,000 EUR debts on the house? If one of my children wants to take over the house, they will finance the 100,000 EUR over 30 years out of petty cash. And if not?
Then they’ll let the house go, pay off the bank, and enjoy 300,000 or 400,000 EUR profit.

You don't even know how high the individual outstanding debt still is for each person? To judge that across the board... well, if you think so.

Don't look at your personal situation with the chip factory, but at statistics. Then you can generalize for common cases.

if I die and there are still 100,000 EUR debts on the house?

I don't care about your situation. The absolute amount of debt doesn't matter either. The question is always, will the money still be enough later? Interest, energy costs, or whatever the future brings, old-age poverty also affects people with their own homes.

Don't look at your personal situation with the chip factory, but at statistics. Then you can generalize for common cases.

I don't care about your situation. The absolute amount of the schools doesn’t matter either. The question is always, will the money still be enough later? Interest rates, energy costs, or whatever the future brings, old-age poverty also affects people who own their homes.

Oh, I see. The thing with the hunter and the hare. One shot missed on the left, one shot missed on the right... statistically speaking, the hare is dead.

Are you sure you belong here if you don’t care about the individual situation?

Oh, the thing with the hunter and the hare. One shot missed to the left, one shot missed to the right... statistically speaking, the hare is dead.

Everyday life for a hunter, that's called buckshot.

Are you sure you're in the right place here if you don't care about the individual situation?

Oh yes, I am. The individual situation is that of the thread creator. Would you really advise the thread creator to take out financing until retirement? Definitely not, and I have provided arguments for that. And yes, with such long time frames and potential events in over 30 years until retirement, you can only rely on statistics. Because believe it or not, even teacher couples with all their financial security sometimes get life’s random events in their way.

You don't have to have such absurd discussions, do you? Every drive on the highway is more dangerous than the chance that a teacher couple becomes impoverished in old age...

Everyday life for a hunter is called buckshot.

And yes, I am one.

The individual situation is that of the thread creator. Would you really advise the thread creator to take out financing until retirement? Definitely not, and I have given reasons for that. And yes, with such long periods and potential events over more than 30 years until retirement, you can only rely on statistics. Because believe it or not, even teacher couples with all their financial securities get hit by the randomness of life now and then.

He is not even financing into retirement. Until he is that age, he has to work until 70.
And even if the financing goes 2 or 3 years into retirement, the remaining debt at the start of retirement is so low that you can easily live with it. Either you pay it off as a special repayment or stretch it out a little longer; a solution can be found for that.