The decision was taken in consultation with Reserve Bank of India after taking into account feedback from market participants and exchanges.
"It has been decided to permit stock exchanges to introduce cash settled IRFs on 6 year and 13 year government of India security," Securities and Exchange Board of India (Sebi) said in a circular.
The capital market watchdog has already permitted exchanges to launch cash settled IRFs on 10-year government bond in December, 2013.
The exchanges are allowed to launch contracts on either one or both of these options.
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Before the launch of the product, the stock exchange is required to submit the proposal to Sebi for approval giving the details of contract specifications, risk management framework, the safeguards and the risk protection mechanisms and the surveillance systems, among others.
Trading would be done between 9 am and 5 pm on all working days from Monday to Friday.
Sebi said three serial monthly contracts followed by maximum three additional quarterly contracts of March, June, September and December cycle would be available. This would be applicable for 10-year government bonds as well.
However, in case of pension funds, insurance firms and housing finance companies, it should be at 10 per cent or Rs 600 crore.
"The total gross short (sold) position of each FPI in IRF shall not exceed its long position in the government securities and in IRFs, at any point in time.
"The total gross long (bought) position in cash and IRF markets taken together for all FPIs shall not exceed the aggregate permissible limit for investment in government securities for FPIs," Sebi noted.
At any exchange, overall open interest on IRF contracts on each underlying would not exceed 25 per cent of the outstanding of underlying bond.