The three directors who have been banned are Ranjeet Kumar, Ram Kailash and Rajoo, according to a Sebi order dated October 12.
Besides, the directors have been restrained from associating themselves with any listed public company from the date of the order till the expiry of four years from the date of completion of refunds to investors.
According to the regulator, Fantasy Infraventure raised Rs 19.96 lakh by allotting redeemable preference shares (RPS) to 127 investors in 2012-13.
Among other requirements, the firm was required to register a prospectus with the Registrar of Companies (RoC) under the Companies Act, which it failed to do.
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The Securities and Exchange Board of India (Sebi), the firm and the directors will have to refund the money raised through issuance of RPS, with an annual interest of 15 per cent till the date of actual payment.
In an interim order passed in March, 2015, Sebi had restrained the firm and the directors from accessing the securities market and directed the firm not to mobilise fresh funds from the investors "till further directions".