The question or even necessity of business owners providing some or all of the financing for the sale of their business can come up with certain businesses and at certain times in the marketplace. There is the obvious risk that the buyer will be successful and make the loan payments on a timely basis. But there are possible benefits such as not have to deal with banks, more qualified buyers being interested and a better and quicker deal for the seller.
Here is an article that details many of the considerations: The Do’s and Don’ts of Seller Financing a Business for Sale.