Ask HN: Can I transfer private shares to a holding in my possession?

I work at a private U.S. company and I am in possession of some of its equity. To help myself reinvest the potential money to come from these shares in the future, I would like to transfer them to a purpose-made holding company in the Netherlands (a BV[1]).

I haven't been able to find information online about whether this is possible to do for free, without having to perform a payment from the holding company to me in exchange for the shares.

If I could transfer the shares for free, it would make the whole process much less difficult for me since I wouldn't have to juggle my money.

Is it possible to transfer shares to my holding company without a monetary payment? If the answer is not a clear-cut yes/no, how should I go about figuring it out? I am considering contacting a lawyer, but I would like to hold out on this because of the hefty fees that come with a consultation.

[1] https://en.wikipedia.org/wiki/Besloten_vennootschap_met_beperkte_aansprakelijkheid