There is generally no compulsory insurance for a self-employed person or a sole proprietor company with no employees.
However, as soon as the company has employees, it is obliged to take out occupational retirement provision and accident insurance (LAI) for these employees (similar to other companies).
Good to know:
Even though there is no compulsory insurance for self-employed persons, the above-mentioned insurance policies are worthwhile, as they maintain the income and current living standards in the event of a short-term and long-term inability to work.