Abstract
With the development of new forms of money, as cryptocurrencies and central bank digital currencies, the attention paid to their role as a store of privacy is increasing. Two intertwined questions arise: Theoretically, which is the difference between privacy and anonymity? Empirically, is anonymity relevant in shaping the demand for these currencies? The results of laboratory experiments show that anonymity matters and increases the overall appeal of a medium of payment, and that this effect is stronger for risk-prone individuals.