The right or obligation of a company to repurchase its own shares. Redemption Rights - Rights to force the company to purchase shares (a "put") and more infrequently the company's right to force investor to sell their shares (a "call"). A Put allows one to liquidate an investment in the event an IPO or public merger becomes unlikely. One may also negotiate a Put effective when the company defaults or fails to make payments upon a key employee's death, etc.