Corporation x makes a tender offer for the shares of corporation y directly to its shareholders. after some discussion, corporation x agrees to give up its tender offer and agrees not to purchase any further shares if corporation y agrees to buy back the stock at a premium over fair market value. corporation y agrees. this agreement is called

Standstill Agreement is the correct answer.

A standstill agreement is a written agreement between a company and a shareholder. This document limits the shareholder's ability to purchase any further shares in the company. Thus, in this situation, when Corporation X agrees to give up its tender and not to acquire any further shares if Corporation Y agrees to purchase back the stock at a premium over fair market value, the agreement signed is called Standstill Agreement.