This is how private health insurance companies work in Germany and many other countries (more precisely for Germany "private Krankenversicherung nach Art der Lebensversicherung" (Google Translate: private health insurance in the form of life insurance); formally, in Germany there also exists "private Krankenversicherung nach Art der Schadenversicherung" (Google Translate: private health insurance according to the type of indemnity insurance)).
Facts:
- I have already worked with certified actuaries, and I am thus very certain that building an actuarial reserve which is then phased out when you get older [in German: Auf- und Abbau der Deckungsrückstellung (for life insurance) und Altersrückstellung (for health insurance) (in English, the term "actuarial reserve" is used for both kinds of reserves)]) is how the mathematics of life and private health insurance companies works (OK, formally only for the kind of health insurance that in German is called "private Krankenversicherung nach Art der Lebensversicherung" (Google Translate: private health insurance in the form of life insurance))
- if you still don't believe my claims, just read a good textbook about insurance of persons