Two-year fixed rates now start at 4.85%.
Rates start at 6.45% and fixed fees from £995.
Both lenders have further reduced five-year fixed rates.
The changes cover Foundation's F1 and F2 tiers.
Rates now start from 5.39% across West One's limited edition range.
Recognise Bank first entered the buy-to-let market in 2021 with a product designed for professional and portfolio landlords.
Five-year terms are available up to 75% LTV from 5.75%.
The lender is expanding its HMO & MUFB range to cater to landlords purchasing or remortgaging properties with up to 12 lettable rooms/units.
Only 14% of brokers expect more personal name portfolio business in the same period.
At any time during the discounted product term, a landlord can apply to switch to any available Paragon fixed rate without incurring an early repayment charge.
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