(2) For any residential tenancy of six months to three years, the landlord shall notify the tenant in writing at least 60 days prior to the stated termination date of the rental agreement of the landlord's intent to terminate a periodic tenancy, not renew a fixed-term rental agreement or increase the rental rate. If the landlord fails to give the required written notice, the tenant may remain in the dwelling unit for up to 60 days after the date on which written notice is given to the tenant, regardless of the termination date specified in the notice or in an existing rental agreement. During such occupancy, the terms and conditions of the tenancy shall be the same as the terms and conditions during the month of tenancy immediately preceding the notice; provided, however, that if rent was waived or abated in the preceding month or months as part of the original rental agreement, the rental amount during such 60-day period shall be at the rate established on the last date that a full rent payment was made.