Halifax Intermediaries has made changes to its mortgage range, effective 29 October.
The lender will decrease rates by as much as 0.13% on homemover first-time buyer fixed rate products up to 85% loan-to-value (LTV).
It will also increase rates on homemover FTB fixed rate products for 90% LTV by as much as 0.10%.
Meanwhile, Buckinghamshire Building Society has reduced rates by 0.20% on three of its credit revive and credit restore products.
Credit revive products up to 85% LTV will now start from 5.89% down from 6.09%.
Credit restore products up to 60% LTV have been lowered from 6.19% to 5.99% while credit restore products up to 75% LTV have been cut from 6.69% to 6.49%.
Each product is a two-year fixed rate with a £999 product fee, available for purchase or remortgage up to a maximum loan size of £750,000.