Which of the following assumptions presumes that a company will not be liquidated?

The going concern assumption is foundational in accounting and financial reporting, as it presumes that a business will continue its operations into the foreseeable future and will not be liquidated or forced to cease operations. This assumption is vital because it allows businesses to prepare their financial statements on a basis that reflects the ongoing nature of their activities, rather than as if they were winding down and selling off assets.

Financial statements prepared under the going concern basis enable stakeholders to make informed decisions as they illustrate the company's performance over time and its ability to generate future economic benefits. In contrast, if a company were facing liquidation, its assets might need to be reported at liquidation values rather than at their normal operating values, which could significantly distort the financial picture presented to investors, creditors, and other stakeholders.

The other concepts mentioned—matching principle, revenue recognition principle, and time period assumption—are all important accounting concepts, but they address different aspects of accounting and do not include the presumption regarding the continuity of business operations like the going concern assumption does.