SBI, the largest bank in India, offers collateral-free loans to IIT students. The loan amount depends on under which category your institution is placed. 

IIT institutions that are placed under AA list category, the borrower can get up to INR 40 Lakhs without collateral and with parents/guardian as co-borrower. For A and B categories, the maximum loan amount without collateral is up to INR 20 Lakhs. For C category, the maximum security free loan amount is up to 7.5 Lakhs. 

There is no processing fee charged for SBI scholar loans and repayment period is up to 15 years with 12 months of holiday period after completion of the course. 

Additional Reading: SBI Education Loan Interest Rate