Other products include a 2-year fix at 4.45% to 80% LTV and a 3-year fix at 3.85% to 75% LTV with no fee.
Mortgage Trust is part of specialist buy-to-let lender Paragon.
John Heron, managing director of Mortgage Trust, said: “The strength of our funding position has allowed us to deliver our most competitive product range to date.
“We are competing more broadly in terms of both LTV and range of term.
“The new products complement our recently revised core Paragon Mortgages range, which caters for more complex propositions.
“We are very mindful that 2015 will be an important year for the buy-to-let market with lending expected to total £30bn, and landlords are going to need access to competitive finance and Paragon is well-placed to provide this through our two specialist brands.”