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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.
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.
The loan agreements originated by commercial banks, savings banks, finance companies, insurance organizations, and investment banks are very different from each other and all feed a different purpose. "Commercial banks" and "Savings banks," because they accept deposits and benefit from FDIC insurance, generate loans that incorporate the concepts of the "public trust." Prior to interstate banking, that "public trust" was easily measured by State bank regulators who could see how local deposits were used to fund the working capital needs of local industry and businesses, and the benefits associated with those organization's employment.
Along with the fundamental requirements in the loan agreement, both local and national laws of government applicable in the loan must similarly be included. Likewise, there are loan types that require bank regulations so this should be included in the agreement as well. You will find that there are a lot of other provisions for different types of loans. It is imperative that you know about them and get them included in the agreement. If you are not familiar with the provisions for each different loan.