The Sebi order followed certain lapses and irregularities found in the functioning of the exchange.
"The governing board of the Ahmedabad Stock Exchange Ltd is warned and is advised to be cautious in the discharge of all its functions and also in their financial dealings," Sebi Whole Time Member Prashant Saran said in a 19-page order.
Further, he directed the board to ensure that the bourse "strictly and promptly" complies with regulatory requirements.
Another shareholder director Hemant Singh Jhala has been restrained from holding any position as a director with any intermediary or entity registered with Sebi till further directions.
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Taking a strong position, the bourse has also been ordered against using money from Investor Protection Fund and Investor Service Fund till adequate checks and balances that are to the satisfaction to Sebi are in place.
The exchange has to appoint an independent auditor to assess its internal control systems and implement suggestions after discussions in the board within two months.
"In the meantime, Hemant Singh Jhala is being restrained from holding any position as a director with any intermediary or entity registered with Securities and Exchange Board of India till further directions," the order noted.
According to the order, Sebi is advised to complete the probe within one year.
Sebi's inspection revealed lapses and irregularities in the functioning of the exchange, as well as at the level of Chairman and Directors on the governing board, among others.