The new deals are available at 1.42% for a 65% loan to value (LTV), 1.46% at 75% LTV and 1.55% for 80% LTV.
The lender has also reduced rates across selected 65%, 75%, 80% and 85% LTV mortgages.
For home buyers these include a two-year fix at 1.86% at 75% LTV and a 2.24% three-year fix at 85% LTV. Both options have no product fee plus £500 cashback on completion and free standard valuation.
Remortgaging borrowers can access a 1.84% three-year fix or a 2.10% five-year fix at 75% LTV – both have no product fee and include £250 cashback on completion and free standard valuation and free legal fees.
Accord national intermediary sales manager David Robinson said: “September marks the start of one of the busiest periods of mortgage maturities in over five years, so we expect to see a high level of remortgage activity over the coming months.
“We want to provide a choice of competitive mortgages to borrowers coming to the end of their current deal.
“We hope our new offerings plus the rate reductions we’ve made will suit a range of borrowers’ needs, including longer-term options for those looking to maximise on the current low-rate environment.”