Final answer:
The measure of value for a company's assets during liquidation is the liquidation value. This reflects the price assets would likely fetch in a quick sale, different from historical cost, book value, or recorded value.
Step-by-step explanation:
The relevant measure of value of the assets of a company that is going out of business is its liquidation value. Liquidation value refers to the anticipated price that the assets would bring if sold on the market, assuming the company is closed and the assets must be sold quickly. This contrasts with historical cost, which is the original cost of the assets, book value, which accounts for depreciation, and recorded value, which is the value at which assets are listed on the company's books.