Accord will now offer a 4.14% 2-year fixed rate mortgage with a £995 product fee, a 4.34% 2-year fixed rate at £495 and a 4.44% 5-year fixed rate at £995.
Jemma Smith, product manager at Accord, said: "These are very competitive rates which will appeal to people with smaller deposits.
“We try to support all types of borrowers across the various LTV levels and first-time buyers in particular should really benefit from these new mortgages.”
The range is available for house purchase or remortgage and includes products offering cashback of up to £250 on completion and valuation assistance.