State Codes and Statutes

Statutes > New-york > Rpt > Article-18 > 1805

§  1805.  Limitation  on  increases  of  assessed  value of individual  parcels.   1. The assessor of  any  special  assessing  unit  shall  not  increase the assessment of any individual parcel classified in class one  in  any one year, as measured from the assessment on the previous year's  assessment roll, by more than six percent and shall  not  increase  such  assessment  by  more  than  twenty  percent in any five-year period. The  first such five-year  period  shall  be  measured  from  the  individual  assessment  appearing  on  the  assessment  roll  completed  in nineteen  hundred eighty; provided that if such parcel would not have been subject  to the provisions of this subdivision in  nineteen  hundred  eighty  had  this  subdivision  then  been in effect, the first such five-year period  shall be measured from the first year after nineteen hundred  eighty  in  which  this  subdivision applied to such parcel or would have applied to  such parcel had this subdivision been in effect in such year.    If, in respect to any individual parcel classified in class one on the  assessment roll completed and applicable for the year  nineteen  hundred  eighty-two,  the  assessment  for  the  year nineteen hundred eighty-one  exceeds by more than twenty percent the assessment for the year nineteen  hundred eighty, such assessor shall compute the actual assessments to be  entered on assessment rolls applicable to  the  years  nineteen  hundred  eighty-two through nineteen hundred ninety as follows:    (a) compute the maximum permissible assessments for the years nineteen  hundred  eighty-one through nineteen hundred eighty-five pursuant to the  limitations  contained  hereinabove  as  if  the  provisions   of   this  subdivision  were in effect and applicable for assessment rolls prepared  in the year nineteen hundred eighty-one;    (b) subtract the maximum permissible assessment for the year  nineteen  hundred  eighty-one  as computed in paragraph (a) hereof from the actual  assessment entered on the assessment roll completed and  applicable  for  the year nineteen hundred eighty-one and divide such result by four;    (c)  the  assessment for the year nineteen hundred eighty-two shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (b) hereinabove;    (d) the assessment for the year nineteen hundred eighty-three shall be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (e) the assessment for the year nineteen hundred eighty-four shall  be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (f) the assessment for the year nineteen hundred eighty-five shall  be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (g) commencing and applicable in the years nineteen hundred eighty-six  through nineteen hundred ninety, the limitations  contained  hereinabove  shall   be   computed   as  measured  against  the  maximum  permissible  assessments for the years nineteen hundred eighty-one  through  nineteen  hundred  eighty-five  as  computed  in  paragraph (a) hereinabove and as  measured against the actual assessments for the  years  occurring  after  nineteen hundred eighty-five.    2.  The  assessment  roll of a special assessing unit wholly contained  within a city shall identify those parcels classified in class two which  have fewer than eleven residential  units.  The  assessor  of  any  such  special  assessing  unit shall not increase the assessment of any parcel  so identified in any one year, as measured from the actual assessment onthe previous year's assessment roll, by  more  than  eight  percent  and  shall  not  increase  such assessment by more than thirty percent in any  five-year period. The first such five-year period shall be measured from  the  individual assessment appearing on the assessment roll completed in  nineteen hundred eighty-one provided that, if such parcel would not have  been subject to the provisions of this subdivision in  nineteen  hundred  eighty-one  had  this  subdivision  then  been in effect, the first such  five-year period shall be measured from the first  year  after  nineteen  hundred  eighty-one  in which this subdivision applied to such parcel or  would have applied to such parcel had this subdivision been in effect in  such year.    If, in respect to any parcel so  identified  on  the  assessment  roll  completed  and applicable for the year nineteen hundred eighty-four, the  actual assessment for the year nineteen hundred eighty-three exceeds  by  more  than  thirty  percent the assessment for the year nineteen hundred  eighty-one, such assessor shall compute the  actual  assessments  to  be  entered  on  assessment  rolls  applicable to the years nineteen hundred  eighty-four through nineteen hundred ninety-two as follows:    (a) compute the maximum permissible assessments for the years nineteen  hundred eighty-two through nineteen hundred eighty-seven pursuant to the  limitations  contained  hereinabove  as  if  the  provisions   of   this  subdivision  were in effect and applicable for assessment rolls prepared  in the year nineteen hundred eighty-two;    (b) subtract the maximum permissible assessment for the year  nineteen  hundred  eighty-two  as computed in paragraph (a) hereof from the lesser  of the actual or transition assessment entered on  the  assessment  roll  completed and applicable for the year nineteen hundred eighty-two;    (c)  subtract the maximum permissible assessment for the year nineteen  hundred eighty-three as computed in such paragraph (a) from  the  lesser  of  the  actual  or transition assessment entered on the assessment roll  completed and applicable for the year nineteen hundred eighty-three;    (d) add such results of the computations prescribed by paragraphs  (b)  and (c) hereof as are greater than zero and divide such sum by four;    (e)  the assessment for the year nineteen hundred eighty-four shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (f)  the assessment for the year nineteen hundred eighty-five shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (g)  the  assessment for the year nineteen hundred eighty-six shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (h) the assessment for the year nineteen hundred eighty-seven shall be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (d) hereinabove;    (i)  commencing  and  applicable  in  the   years   nineteen   hundred  eighty-eight   through  nineteen  hundred  ninety-two,  the  limitations  contained hereinabove shall be computed as measured against the  maximum  permissible  assessments  for  the  years  nineteen hundred eighty-three  through nineteen hundred  eighty-seven  as  computed  in  paragraph  (a)  hereinabove and as measured against the actual assessments for the years  occurring after nineteen hundred eighty-seven.    3.  If  the assessment appearing on an assessment roll completed on or  after January first, nineteen hundred  eighty-two  for  any  parcel  notsubject  to  the  provisions  of subdivision one or two of this section,  other than a parcel classified in  class  three,  is  greater  than  the  assessment appearing on the previous year's assessment roll the assessor  shall  determine  a  transition assessment for such parcel for the first  assessment roll on which such greater assessment appears and for each of  the succeeding four assessment rolls by computing the difference between  such greater assessment and the assessment appearing  on  such  previous  year's  assessment  roll  and  adding  the following percentages of such  difference  to  the  assessment  appearing  on  such   previous   year's  assessment  roll: in the first year, twenty percent; in the second year,  forty percent; in the third year, sixty percent;  in  the  fourth  year,  eighty  percent;  and  in  the  fifth  year, one hundred percent. If the  assessment of a parcel is increased during a period for which transition  assessments have  been  established  because  of  any  prior  assessment  increases,  such new increase shall be phased-in over a five-year period  as set forth in this subdivision, and such phased-in increases shall  be  added  to  the  transitional  assessments previously established for the  prior increase;  provided,  however,  that  if  in  any  year  any  such  transition assessment exceeds the actual assessment for such year, taxes  imposed  on  such  parcel  for  such  year shall be based on such lesser  actual assessment. Notwithstanding the foregoing, during the  period  of  any  such  transition, the assessment roll shall contain an entry of the  full amount of such greater assessment which shall be used by the  state  board  in its determination of class ratios pursuant to paragraph (b) of  subdivision one of section  twelve  hundred  two  of  this  chapter.  In  establishing state equalization rates, class equalization rates, special  state  equalization  rates  and  special state equalization ratios under  article twelve, article twelve-A and article twelve-B of  this  chapter,  the  state board shall use the transition assessments as provided for in  this subdivision in its determinations, or where the  actual  assessment  is the lesser, such actual assessment shall be so used.    4. Notwithstanding the provisions of subdivision three of this section  no transition assessment shall be computed for any individual parcel for  a  year  in which subdivision one or two of this section were applicable  to such parcel, nor for any real property owned by the state  and  which  is  subject  to  taxation  pursuant to title two of article five of this  chapter, nor for any real property for which a statute provides  that  a  state  equalization  rate or special equalization rate shall be employed  to determine the assessed value or the taxable assessed value.    5. Nothing in this section shall prevent  placing  on  the  assessment  roll  new property, additions to or improvements of existing property or  formerly exempt property or the full or partial removal from the roll of  property by reason of fire, demolition, destruction or new exemption and  such increase or  decrease  in  value  shall  not  be  included  in  the  computation  of  the  limitations prescribed by this section. Any parcel  which would be assessed at a greater amount but for  the  provisions  of  subdivision one or two of this section shall be excluded from any survey  or  computation  made  by  any  body  or  officer  for  the  purpose  of  determining a level of assessment to be used in  the  administrative  or  judicial  review  of  assessments  including,  but not limited to, class  ratios computed pursuant to paragraph (b) of subdivision one of  section  twelve  hundred  two  of  this  chapter, ratios computed by selection of  parcels or from actual sales of real property under  the  provisions  of  subdivision  three  of section seven hundred twenty of this chapter, and  residential assessment ratios computed pursuant to section seven hundred  thirty-eight of this chapter, but not including state equalization rates  or class equalization rates. In the event that a parcel appearing on the  assessment roll completed in nineteen hundred eighty or  any  subsequentroll  is  subdivided  or  consolidated with another, such assessor shall  make an appropriate allocation of the assessed value of such  parcel  in  the determination of the limitations prescribed in this section.    6.  Notwithstanding  any  provision  of  law  to  the contrary, in any  special assessing unit wholly contained within a  city,  beginning  with  the  assessment  roll  completed  in  two  thousand  five  and  for each  subsequent  assessment  roll,  the  assessor  shall  not  increase   the  assessment  of  any  existing  property classified in class two that has  fewer than eleven residential units, with respect  to  any  increase  in  value attributable to additions to or improvements of such property that  were  not  reflected on the assessment roll for a previous year, by more  than one-third of the amount that such assessment would increase, in the  absence of this subdivision, with  respect  to  any  increase  in  value  attributable  to additions to or improvements of such property that were  not  reflected  on  the   assessment   roll   for   a   previous   year.  Notwithstanding  the provisions of subdivision five of this section, the  remainder of the increase in value attributable  to  such  additions  or  improvements  that  were  not  reflected  on  the  assessment roll for a  previous year shall be subject to the limitations on increases  provided  in  subdivision two of this section. This subdivision shall not apply to  the construction of a new building or structure. This subdivision  shall  not apply where, as a result of such additions to or improvements of the  existing  property,  there  are  more than ten residential units in such  property.

State Codes and Statutes

Statutes > New-york > Rpt > Article-18 > 1805

§  1805.  Limitation  on  increases  of  assessed  value of individual  parcels.   1. The assessor of  any  special  assessing  unit  shall  not  increase the assessment of any individual parcel classified in class one  in  any one year, as measured from the assessment on the previous year's  assessment roll, by more than six percent and shall  not  increase  such  assessment  by  more  than  twenty  percent in any five-year period. The  first such five-year  period  shall  be  measured  from  the  individual  assessment  appearing  on  the  assessment  roll  completed  in nineteen  hundred eighty; provided that if such parcel would not have been subject  to the provisions of this subdivision in  nineteen  hundred  eighty  had  this  subdivision  then  been in effect, the first such five-year period  shall be measured from the first year after nineteen hundred  eighty  in  which  this  subdivision applied to such parcel or would have applied to  such parcel had this subdivision been in effect in such year.    If, in respect to any individual parcel classified in class one on the  assessment roll completed and applicable for the year  nineteen  hundred  eighty-two,  the  assessment  for  the  year nineteen hundred eighty-one  exceeds by more than twenty percent the assessment for the year nineteen  hundred eighty, such assessor shall compute the actual assessments to be  entered on assessment rolls applicable to  the  years  nineteen  hundred  eighty-two through nineteen hundred ninety as follows:    (a) compute the maximum permissible assessments for the years nineteen  hundred  eighty-one through nineteen hundred eighty-five pursuant to the  limitations  contained  hereinabove  as  if  the  provisions   of   this  subdivision  were in effect and applicable for assessment rolls prepared  in the year nineteen hundred eighty-one;    (b) subtract the maximum permissible assessment for the year  nineteen  hundred  eighty-one  as computed in paragraph (a) hereof from the actual  assessment entered on the assessment roll completed and  applicable  for  the year nineteen hundred eighty-one and divide such result by four;    (c)  the  assessment for the year nineteen hundred eighty-two shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (b) hereinabove;    (d) the assessment for the year nineteen hundred eighty-three shall be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (e) the assessment for the year nineteen hundred eighty-four shall  be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (f) the assessment for the year nineteen hundred eighty-five shall  be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (g) commencing and applicable in the years nineteen hundred eighty-six  through nineteen hundred ninety, the limitations  contained  hereinabove  shall   be   computed   as  measured  against  the  maximum  permissible  assessments for the years nineteen hundred eighty-one  through  nineteen  hundred  eighty-five  as  computed  in  paragraph (a) hereinabove and as  measured against the actual assessments for the  years  occurring  after  nineteen hundred eighty-five.    2.  The  assessment  roll of a special assessing unit wholly contained  within a city shall identify those parcels classified in class two which  have fewer than eleven residential  units.  The  assessor  of  any  such  special  assessing  unit shall not increase the assessment of any parcel  so identified in any one year, as measured from the actual assessment onthe previous year's assessment roll, by  more  than  eight  percent  and  shall  not  increase  such assessment by more than thirty percent in any  five-year period. The first such five-year period shall be measured from  the  individual assessment appearing on the assessment roll completed in  nineteen hundred eighty-one provided that, if such parcel would not have  been subject to the provisions of this subdivision in  nineteen  hundred  eighty-one  had  this  subdivision  then  been in effect, the first such  five-year period shall be measured from the first  year  after  nineteen  hundred  eighty-one  in which this subdivision applied to such parcel or  would have applied to such parcel had this subdivision been in effect in  such year.    If, in respect to any parcel so  identified  on  the  assessment  roll  completed  and applicable for the year nineteen hundred eighty-four, the  actual assessment for the year nineteen hundred eighty-three exceeds  by  more  than  thirty  percent the assessment for the year nineteen hundred  eighty-one, such assessor shall compute the  actual  assessments  to  be  entered  on  assessment  rolls  applicable to the years nineteen hundred  eighty-four through nineteen hundred ninety-two as follows:    (a) compute the maximum permissible assessments for the years nineteen  hundred eighty-two through nineteen hundred eighty-seven pursuant to the  limitations  contained  hereinabove  as  if  the  provisions   of   this  subdivision  were in effect and applicable for assessment rolls prepared  in the year nineteen hundred eighty-two;    (b) subtract the maximum permissible assessment for the year  nineteen  hundred  eighty-two  as computed in paragraph (a) hereof from the lesser  of the actual or transition assessment entered on  the  assessment  roll  completed and applicable for the year nineteen hundred eighty-two;    (c)  subtract the maximum permissible assessment for the year nineteen  hundred eighty-three as computed in such paragraph (a) from  the  lesser  of  the  actual  or transition assessment entered on the assessment roll  completed and applicable for the year nineteen hundred eighty-three;    (d) add such results of the computations prescribed by paragraphs  (b)  and (c) hereof as are greater than zero and divide such sum by four;    (e)  the assessment for the year nineteen hundred eighty-four shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (f)  the assessment for the year nineteen hundred eighty-five shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (g)  the  assessment for the year nineteen hundred eighty-six shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (h) the assessment for the year nineteen hundred eighty-seven shall be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (d) hereinabove;    (i)  commencing  and  applicable  in  the   years   nineteen   hundred  eighty-eight   through  nineteen  hundred  ninety-two,  the  limitations  contained hereinabove shall be computed as measured against the  maximum  permissible  assessments  for  the  years  nineteen hundred eighty-three  through nineteen hundred  eighty-seven  as  computed  in  paragraph  (a)  hereinabove and as measured against the actual assessments for the years  occurring after nineteen hundred eighty-seven.    3.  If  the assessment appearing on an assessment roll completed on or  after January first, nineteen hundred  eighty-two  for  any  parcel  notsubject  to  the  provisions  of subdivision one or two of this section,  other than a parcel classified in  class  three,  is  greater  than  the  assessment appearing on the previous year's assessment roll the assessor  shall  determine  a  transition assessment for such parcel for the first  assessment roll on which such greater assessment appears and for each of  the succeeding four assessment rolls by computing the difference between  such greater assessment and the assessment appearing  on  such  previous  year's  assessment  roll  and  adding  the following percentages of such  difference  to  the  assessment  appearing  on  such   previous   year's  assessment  roll: in the first year, twenty percent; in the second year,  forty percent; in the third year, sixty percent;  in  the  fourth  year,  eighty  percent;  and  in  the  fifth  year, one hundred percent. If the  assessment of a parcel is increased during a period for which transition  assessments have  been  established  because  of  any  prior  assessment  increases,  such new increase shall be phased-in over a five-year period  as set forth in this subdivision, and such phased-in increases shall  be  added  to  the  transitional  assessments previously established for the  prior increase;  provided,  however,  that  if  in  any  year  any  such  transition assessment exceeds the actual assessment for such year, taxes  imposed  on  such  parcel  for  such  year shall be based on such lesser  actual assessment. Notwithstanding the foregoing, during the  period  of  any  such  transition, the assessment roll shall contain an entry of the  full amount of such greater assessment which shall be used by the  state  board  in its determination of class ratios pursuant to paragraph (b) of  subdivision one of section  twelve  hundred  two  of  this  chapter.  In  establishing state equalization rates, class equalization rates, special  state  equalization  rates  and  special state equalization ratios under  article twelve, article twelve-A and article twelve-B of  this  chapter,  the  state board shall use the transition assessments as provided for in  this subdivision in its determinations, or where the  actual  assessment  is the lesser, such actual assessment shall be so used.    4. Notwithstanding the provisions of subdivision three of this section  no transition assessment shall be computed for any individual parcel for  a  year  in which subdivision one or two of this section were applicable  to such parcel, nor for any real property owned by the state  and  which  is  subject  to  taxation  pursuant to title two of article five of this  chapter, nor for any real property for which a statute provides  that  a  state  equalization  rate or special equalization rate shall be employed  to determine the assessed value or the taxable assessed value.    5. Nothing in this section shall prevent  placing  on  the  assessment  roll  new property, additions to or improvements of existing property or  formerly exempt property or the full or partial removal from the roll of  property by reason of fire, demolition, destruction or new exemption and  such increase or  decrease  in  value  shall  not  be  included  in  the  computation  of  the  limitations prescribed by this section. Any parcel  which would be assessed at a greater amount but for  the  provisions  of  subdivision one or two of this section shall be excluded from any survey  or  computation  made  by  any  body  or  officer  for  the  purpose  of  determining a level of assessment to be used in  the  administrative  or  judicial  review  of  assessments  including,  but not limited to, class  ratios computed pursuant to paragraph (b) of subdivision one of  section  twelve  hundred  two  of  this  chapter, ratios computed by selection of  parcels or from actual sales of real property under  the  provisions  of  subdivision  three  of section seven hundred twenty of this chapter, and  residential assessment ratios computed pursuant to section seven hundred  thirty-eight of this chapter, but not including state equalization rates  or class equalization rates. In the event that a parcel appearing on the  assessment roll completed in nineteen hundred eighty or  any  subsequentroll  is  subdivided  or  consolidated with another, such assessor shall  make an appropriate allocation of the assessed value of such  parcel  in  the determination of the limitations prescribed in this section.    6.  Notwithstanding  any  provision  of  law  to  the contrary, in any  special assessing unit wholly contained within a  city,  beginning  with  the  assessment  roll  completed  in  two  thousand  five  and  for each  subsequent  assessment  roll,  the  assessor  shall  not  increase   the  assessment  of  any  existing  property classified in class two that has  fewer than eleven residential units, with respect  to  any  increase  in  value attributable to additions to or improvements of such property that  were  not  reflected on the assessment roll for a previous year, by more  than one-third of the amount that such assessment would increase, in the  absence of this subdivision, with  respect  to  any  increase  in  value  attributable  to additions to or improvements of such property that were  not  reflected  on  the   assessment   roll   for   a   previous   year.  Notwithstanding  the provisions of subdivision five of this section, the  remainder of the increase in value attributable  to  such  additions  or  improvements  that  were  not  reflected  on  the  assessment roll for a  previous year shall be subject to the limitations on increases  provided  in  subdivision two of this section. This subdivision shall not apply to  the construction of a new building or structure. This subdivision  shall  not apply where, as a result of such additions to or improvements of the  existing  property,  there  are  more than ten residential units in such  property.

State Codes and Statutes

State Codes and Statutes

Statutes > New-york > Rpt > Article-18 > 1805

§  1805.  Limitation  on  increases  of  assessed  value of individual  parcels.   1. The assessor of  any  special  assessing  unit  shall  not  increase the assessment of any individual parcel classified in class one  in  any one year, as measured from the assessment on the previous year's  assessment roll, by more than six percent and shall  not  increase  such  assessment  by  more  than  twenty  percent in any five-year period. The  first such five-year  period  shall  be  measured  from  the  individual  assessment  appearing  on  the  assessment  roll  completed  in nineteen  hundred eighty; provided that if such parcel would not have been subject  to the provisions of this subdivision in  nineteen  hundred  eighty  had  this  subdivision  then  been in effect, the first such five-year period  shall be measured from the first year after nineteen hundred  eighty  in  which  this  subdivision applied to such parcel or would have applied to  such parcel had this subdivision been in effect in such year.    If, in respect to any individual parcel classified in class one on the  assessment roll completed and applicable for the year  nineteen  hundred  eighty-two,  the  assessment  for  the  year nineteen hundred eighty-one  exceeds by more than twenty percent the assessment for the year nineteen  hundred eighty, such assessor shall compute the actual assessments to be  entered on assessment rolls applicable to  the  years  nineteen  hundred  eighty-two through nineteen hundred ninety as follows:    (a) compute the maximum permissible assessments for the years nineteen  hundred  eighty-one through nineteen hundred eighty-five pursuant to the  limitations  contained  hereinabove  as  if  the  provisions   of   this  subdivision  were in effect and applicable for assessment rolls prepared  in the year nineteen hundred eighty-one;    (b) subtract the maximum permissible assessment for the year  nineteen  hundred  eighty-one  as computed in paragraph (a) hereof from the actual  assessment entered on the assessment roll completed and  applicable  for  the year nineteen hundred eighty-one and divide such result by four;    (c)  the  assessment for the year nineteen hundred eighty-two shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (b) hereinabove;    (d) the assessment for the year nineteen hundred eighty-three shall be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (e) the assessment for the year nineteen hundred eighty-four shall  be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (f) the assessment for the year nineteen hundred eighty-five shall  be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (b) hereinabove;    (g) commencing and applicable in the years nineteen hundred eighty-six  through nineteen hundred ninety, the limitations  contained  hereinabove  shall   be   computed   as  measured  against  the  maximum  permissible  assessments for the years nineteen hundred eighty-one  through  nineteen  hundred  eighty-five  as  computed  in  paragraph (a) hereinabove and as  measured against the actual assessments for the  years  occurring  after  nineteen hundred eighty-five.    2.  The  assessment  roll of a special assessing unit wholly contained  within a city shall identify those parcels classified in class two which  have fewer than eleven residential  units.  The  assessor  of  any  such  special  assessing  unit shall not increase the assessment of any parcel  so identified in any one year, as measured from the actual assessment onthe previous year's assessment roll, by  more  than  eight  percent  and  shall  not  increase  such assessment by more than thirty percent in any  five-year period. The first such five-year period shall be measured from  the  individual assessment appearing on the assessment roll completed in  nineteen hundred eighty-one provided that, if such parcel would not have  been subject to the provisions of this subdivision in  nineteen  hundred  eighty-one  had  this  subdivision  then  been in effect, the first such  five-year period shall be measured from the first  year  after  nineteen  hundred  eighty-one  in which this subdivision applied to such parcel or  would have applied to such parcel had this subdivision been in effect in  such year.    If, in respect to any parcel so  identified  on  the  assessment  roll  completed  and applicable for the year nineteen hundred eighty-four, the  actual assessment for the year nineteen hundred eighty-three exceeds  by  more  than  thirty  percent the assessment for the year nineteen hundred  eighty-one, such assessor shall compute the  actual  assessments  to  be  entered  on  assessment  rolls  applicable to the years nineteen hundred  eighty-four through nineteen hundred ninety-two as follows:    (a) compute the maximum permissible assessments for the years nineteen  hundred eighty-two through nineteen hundred eighty-seven pursuant to the  limitations  contained  hereinabove  as  if  the  provisions   of   this  subdivision  were in effect and applicable for assessment rolls prepared  in the year nineteen hundred eighty-two;    (b) subtract the maximum permissible assessment for the year  nineteen  hundred  eighty-two  as computed in paragraph (a) hereof from the lesser  of the actual or transition assessment entered on  the  assessment  roll  completed and applicable for the year nineteen hundred eighty-two;    (c)  subtract the maximum permissible assessment for the year nineteen  hundred eighty-three as computed in such paragraph (a) from  the  lesser  of  the  actual  or transition assessment entered on the assessment roll  completed and applicable for the year nineteen hundred eighty-three;    (d) add such results of the computations prescribed by paragraphs  (b)  and (c) hereof as are greater than zero and divide such sum by four;    (e)  the assessment for the year nineteen hundred eighty-four shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (f)  the assessment for the year nineteen hundred eighty-five shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (g)  the  assessment for the year nineteen hundred eighty-six shall be  the maximum permissible assessment for such year as computed pursuant to  such paragraph (a) minus the quotient determined pursuant  to  paragraph  (d) hereinabove;    (h) the assessment for the year nineteen hundred eighty-seven shall be  the maximum permissible assessment for such year as computed pursuant to  such  paragraph  (a) minus the quotient determined pursuant to paragraph  (d) hereinabove;    (i)  commencing  and  applicable  in  the   years   nineteen   hundred  eighty-eight   through  nineteen  hundred  ninety-two,  the  limitations  contained hereinabove shall be computed as measured against the  maximum  permissible  assessments  for  the  years  nineteen hundred eighty-three  through nineteen hundred  eighty-seven  as  computed  in  paragraph  (a)  hereinabove and as measured against the actual assessments for the years  occurring after nineteen hundred eighty-seven.    3.  If  the assessment appearing on an assessment roll completed on or  after January first, nineteen hundred  eighty-two  for  any  parcel  notsubject  to  the  provisions  of subdivision one or two of this section,  other than a parcel classified in  class  three,  is  greater  than  the  assessment appearing on the previous year's assessment roll the assessor  shall  determine  a  transition assessment for such parcel for the first  assessment roll on which such greater assessment appears and for each of  the succeeding four assessment rolls by computing the difference between  such greater assessment and the assessment appearing  on  such  previous  year's  assessment  roll  and  adding  the following percentages of such  difference  to  the  assessment  appearing  on  such   previous   year's  assessment  roll: in the first year, twenty percent; in the second year,  forty percent; in the third year, sixty percent;  in  the  fourth  year,  eighty  percent;  and  in  the  fifth  year, one hundred percent. If the  assessment of a parcel is increased during a period for which transition  assessments have  been  established  because  of  any  prior  assessment  increases,  such new increase shall be phased-in over a five-year period  as set forth in this subdivision, and such phased-in increases shall  be  added  to  the  transitional  assessments previously established for the  prior increase;  provided,  however,  that  if  in  any  year  any  such  transition assessment exceeds the actual assessment for such year, taxes  imposed  on  such  parcel  for  such  year shall be based on such lesser  actual assessment. Notwithstanding the foregoing, during the  period  of  any  such  transition, the assessment roll shall contain an entry of the  full amount of such greater assessment which shall be used by the  state  board  in its determination of class ratios pursuant to paragraph (b) of  subdivision one of section  twelve  hundred  two  of  this  chapter.  In  establishing state equalization rates, class equalization rates, special  state  equalization  rates  and  special state equalization ratios under  article twelve, article twelve-A and article twelve-B of  this  chapter,  the  state board shall use the transition assessments as provided for in  this subdivision in its determinations, or where the  actual  assessment  is the lesser, such actual assessment shall be so used.    4. Notwithstanding the provisions of subdivision three of this section  no transition assessment shall be computed for any individual parcel for  a  year  in which subdivision one or two of this section were applicable  to such parcel, nor for any real property owned by the state  and  which  is  subject  to  taxation  pursuant to title two of article five of this  chapter, nor for any real property for which a statute provides  that  a  state  equalization  rate or special equalization rate shall be employed  to determine the assessed value or the taxable assessed value.    5. Nothing in this section shall prevent  placing  on  the  assessment  roll  new property, additions to or improvements of existing property or  formerly exempt property or the full or partial removal from the roll of  property by reason of fire, demolition, destruction or new exemption and  such increase or  decrease  in  value  shall  not  be  included  in  the  computation  of  the  limitations prescribed by this section. Any parcel  which would be assessed at a greater amount but for  the  provisions  of  subdivision one or two of this section shall be excluded from any survey  or  computation  made  by  any  body  or  officer  for  the  purpose  of  determining a level of assessment to be used in  the  administrative  or  judicial  review  of  assessments  including,  but not limited to, class  ratios computed pursuant to paragraph (b) of subdivision one of  section  twelve  hundred  two  of  this  chapter, ratios computed by selection of  parcels or from actual sales of real property under  the  provisions  of  subdivision  three  of section seven hundred twenty of this chapter, and  residential assessment ratios computed pursuant to section seven hundred  thirty-eight of this chapter, but not including state equalization rates  or class equalization rates. In the event that a parcel appearing on the  assessment roll completed in nineteen hundred eighty or  any  subsequentroll  is  subdivided  or  consolidated with another, such assessor shall  make an appropriate allocation of the assessed value of such  parcel  in  the determination of the limitations prescribed in this section.    6.  Notwithstanding  any  provision  of  law  to  the contrary, in any  special assessing unit wholly contained within a  city,  beginning  with  the  assessment  roll  completed  in  two  thousand  five  and  for each  subsequent  assessment  roll,  the  assessor  shall  not  increase   the  assessment  of  any  existing  property classified in class two that has  fewer than eleven residential units, with respect  to  any  increase  in  value attributable to additions to or improvements of such property that  were  not  reflected on the assessment roll for a previous year, by more  than one-third of the amount that such assessment would increase, in the  absence of this subdivision, with  respect  to  any  increase  in  value  attributable  to additions to or improvements of such property that were  not  reflected  on  the   assessment   roll   for   a   previous   year.  Notwithstanding  the provisions of subdivision five of this section, the  remainder of the increase in value attributable  to  such  additions  or  improvements  that  were  not  reflected  on  the  assessment roll for a  previous year shall be subject to the limitations on increases  provided  in  subdivision two of this section. This subdivision shall not apply to  the construction of a new building or structure. This subdivision  shall  not apply where, as a result of such additions to or improvements of the  existing  property,  there  are  more than ten residential units in such  property.