The offset equivalent of the 2-year fixed rate mortgage is available at 3.59%.
Richard Barker, N&P product manager, said: "We know borrowers are seeking out fixed rate mortgages when there is so much uncertainty about interest rates and the economy in general.
"Borrowers can have the security of fixing their monthly mortgage repayments for a period to suit them but we also offer them the opportunity to overpay by up to 10% of their mortgage each year, without penalty.
"We also offer products with free legal fees, low product fees of £295 and £200 cashback, for borrowers wanting to minimise their costs on their purchase.
"As part of the Yorkshire Building Society group, N&P is committed to offering borrowers choice as well as competitive mortgage rates, so they can find the deal which best suits their individual needs."