Be careful applying for private loans with banks. If your bank requires a co-borrower to sign on the agreement before the loan is sanctioned, make sure that your co-borrower has a good enough credit history. Not having a good credit history could jeopardize your chances of getting the private student loan that you would have otherwise got stand alone.
For commercial banks and large finance companies, "loan agreements" are usually not categorized although "loan portfolios" are often broadly characterized into "personal" and "commercial" loans while the "commercial" category is then subdivided into "industrial" and "commercial real estate" loans. "Industrial" loans are those that depend on the cashflow and creditworthiness of the company and the widgets or service that it sells. "Commercial real estate" loans are those that repay loans but that depend on the rental revenues paid by tenants who lease space, usually for extended times. More granular categorizations of loan portfolios exist but these are always variations around the larger themes.
"Investment banks" create loan agreements that cater to the needs of the investors whose funds they attempt to attract; "investors" are always sophisticated and accredited organizations not subject to bank regulatory supervision and the need to cater to the public trust. Investment banking activities are supervised by the SEC and their main focus is on whether the correct or proper disclosures are made to the parties who provide the funds.
The first thing that should be checked while signing the agreement is the interest rate as it may create stress on you while repaying the loan amount. With the current income level, you should be able to validate whether you can afford to repay the loan at the interest mentioned in the loan agreement.
money lending agreement format
loan agreement format
loan agreement letter