On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.
Vermont "corporation", "incorporated", "company", or "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd.", or words or abbreviations of like import in another language; shall not have the word "cooperative" or any abbreviation thereof as part of its name unless the corporation is a worker cooperative corporation Title 11A, § 4.01 Vermont Statutes
Limited liability companies can raise money via banks and investors but cannot sell stocks. S-Corps can get loans from banks, as well as distribute stock to up to 100 people. C-Corps have the easiest time raising capital as there is no cap on how many people can own stock. Non-Profits can both get loans and receive tax-deductible donations. Sole Proprietorships can occasionally receive bank loans but cannot sell stocks.
Where the equipment you use in your business was acquired as a gift, you may report your estimate of its current market value on the Business Property Statement (that is, what you think it would sell for in the open market place). Enter that estimated value in the most current year's cost line and add a note indicating that the entry is an estimate.