The new two and five-year deals all have £1,000 cashback on completion plus free standard valuation to help with the upfront costs of buying a first home.
Fee-free options are available including a two-year fix at 3.94%, or a five-year fix at 4.40%.
And the lender has also reduced rates on selected high LTV options available to both first-time buyers and house purchasers with small deposits by up to 0.05%.
This includes a 3.63% two-year fix at 95% LTV with £495 product fee and a 4.19% five-year fix at 95% LTV with a £995 fee.
Both mortgages come with £500 cashback on completion and free standard valuation.
Accord mortgage manager Jemma Anderson (pictured) said: “Conditions have been favourable for new borrowers lately as some barriers to first-time ownership have been removed, such as stamp duty for properties valued below £300,000.
“Research we conducted last year highlighted the main barrier to owning a first home were the upfront costs involved, so this dedicated first-time buyer range has been designed with this in mind offering £1,000 cashback, free valuations and fee-free options.”