Royalties are taxed as ordinary income if the recipient is resident in the Faroe Islands
This is in accordance with Sections 1 and 25 of the Tax Act. Royalty payments constitute B-income and must be reported to the Faroese Tax Authority (TAKS). See the section "Both the payer and the recipient must notify TAKS of royalty payments."
Royalties are taxed at either 0% or 25%, if the recipient is resident abroad
Whether the tax rate is 0% or 25% depends on whether the country in which the recipient is resident has a double taxation agreement with the Faroe Islands.
If the recipient's country of residence has a double taxation agreement with the Faroe Islands, the tax rate is 0%. Under the agreement, the Faroe Islands are not entitled to tax royalty payments received by such recipients.
If the recipient's country of residence does not have a double taxation agreement with the Faroe Islands, the tax rate is 25%. This is in accordance with Section 2(1)(c) of the Tax Act and Section 7 of the Withholding Tax Act. The tax is a gross withholding tax, meaning that the recipient is not entitled to deduct any business expenses that may have been incurred.
The countries and territories that have double taxation agreements with the Faroe Islands are: Iceland, Denmark, Norway, Sweden, Finland, Greenland, England, Scotland, Wales, Northern Ireland, Switzerland, India, Guernsey, Jersey, the Cayman Islands, the Isle of Man, Bermuda, and the British Virgin Islands.
Both individuals and companies may receive royalty payments
In this text, the term "recipient" refers to both individuals and companies. Where the tax rules differ between individuals and companies, this is stated explicitly.
Note the meaning of tax residence
For an individual, being resident in a country means that they live there, have their personal ties there, and regard it as their home, or that they have been present in the country for more than 180 days during a 12-month period.
For a company, being resident in a country means that its registered head office and its place of effective management are located in that country.