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Loan agreements, like any contract, reflect an "offer," the "acceptance of the offer," "consideration," and can only involve situations that are "legal" (a term loan agreement involving heroin drug sales is not "legal"). Loan agreements are documented via their commitment letters, agreements that reflect the understandings reached between the involved parties, a promissory note, and a collateral agreement (such as a mortgage or a personal guarantee). Loan agreements offered by regulated banks are different from those that are offered by finance companies in that banks receive a "banking charter" granted as a privilege and involving the "public trust."
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.
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.
The agreement should clearly contain the pre-closure charges that are applied when the individual would like to close the loan before the time mentioned in the document. The other attribute that would calculate your EMI and the overall interest rate that is to be paid by you is the loan tenure.