Both deals are intermediary exclusives and include a free valuation.
Clydesdale Bank is set to launch a mortgage for first-time buyers (FTBs) on 22 April.
It will also reduce a number of rates across selected mortgage products.
The first-time buyer product is a 90% LTV 2-year fix at 2.89%, with a £1,999 fee.
The lender is reducing the rate on the 90% LTV 2-year fix from 2.99% to 2.95%, with a £1,999 fee.
Both deals are intermediary exclusives and include a free valuation.
Additionally, the bank is withdrawing the 75% LTV 2-year fix at 1.24%, with a £1,999 fee and the 75% LTV 2-year discount at 1.74%.
According to the lender, to give customers greater flexibility on their mortgage, individuals can now add the product fee to the loan, providing it does not take a residential loan over 95% LTV or a BTL loan over 80% LTV.