Fifth Street Finance has agreed to buy Healthcare Finance Group for about $110 million. HFG is a specialty lender that provides asset-backed lending and term loans to the healthcare industry. It finances companies in all sectors of the industry, including hospitals, outpatient and inpatient service providers, pharmacies, laboratories and outsourced service providers. The company was founded in 2000 as part of a management buyout backed by Morgan Stanley. Greenhill Capital Partners and LLR Partners made a growth equity investment in the company in November 2005.