The stock rose by 4.08 per cent to end at Rs 2,506.50 on BSE. During the day, it had gained 6 per cent to Rs 2,555.
On NSE, shares of the company went up by 3.91 per cent to close the day at Rs 2,502.20.
Led by the sharp gain in the stock, the market valuation of the country's largest software services firm surged Rs 19,379.76 crore to Rs 4,93,887.76 crore.
The Tata Group company said the proposed shares represent 2.85 per cent of the total paid up equity share capital at Rs 2,850 per equity share.
"Tata Consultancy Services (TCS) Board of Directors has approved a proposal to buyback up to 5.61 crore equity shares of the company for an aggregate amount not exceeding Rs 16,000 crore," TCS said in a BSE filing.
The buyback is proposed to be made from the shareholders of the company on a proportionate basis under the tender offer route using the stock exchange mechanism, it added.
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