Section 13-686. Supplemental pension

a. A supplemental pension shall be paid
  to  police  or  fire  line-of-duty surviving spouses or dependents. Such
  supplemental pension shall be payable on the basis provided for  herein,
  commencing  with  a  payment  for  the  month  of July, nineteen hundred
  seventy-three and continuing through the month  of  September,  nineteen
  hundred  seventy-four.  In  the  case  of  a police or fire line-of-duty
  surviving spouse or dependent who  is  entitled  to  receive  an  annual
  increased  allowance  (as  defined in subdivision e of section 13-685 of
  this chapter) said supplemental pension shall be a  percentage  of  such
  annual  increased  allowance  and  in  the  case  of  a  police  or fire
  line-of-duty surviving spouse  or  dependent  who  is  not  entitled  to
  receive  an  annual increased allowance, such supplemental pension shall
  be a percentage of the basic annual pension (as defined in subdivision d
  of such section 13-685), and in either case  such  percentage  shall  be
  determined  on  the basis of the consumer price index (all items--United
  States city average), published by the United  States  Bureau  of  Labor
  Statistics.  Said  percentage shall be determined in the manner provided
  in this section. Said supplemental pension  shall  be  computed  on  the
  basis  of  the  first  eight  thousand  dollars  of the annual increased
  allowance, in the case of a police or fire line-of-duty surviving spouse
  or dependent entitled to receive such an allowance and on the  basis  of
  the  first  eight  thousand  dollars of the basic annual pension, in the
  case of a police or fire line-of-duty surviving spouse or dependent  who
  is not entitled to receive an annual increased allowance.
    b.  The  percentage referred to in this section shall be determined as
  the ratio of two indexes, in the following  manner.  The  ratio  of  the
  indexes  shall  be  the  average  of  the  twelve monthly consumer price
  indexes of the calendar year nineteen hundred sixty-nine divided by  the
  average of the twelve monthly consumer price indexes (i) of the calendar
  year  nineteen  hundred  sixty-five, in any case where the death of such
  member occurred before July first, nineteen hundred sixty-five  or  (ii)
  of  the calender year in which the death of such member occurred, in any
  case where the death of such member occurred on  or  after  July  first,
  nineteen  hundred  sixty-five. Said ratio, minus one, shall be expressed
  as a percentage and shall be adjusted to  the  lower  one-tenth  of  one
  percentum.  Such  applicable adjusted percentage shall be the percentage
  of the applicable portion of the annual  increased  allowance  or  basic
  annual  pension,  as  the case may be, which is payable as a supplement.
  However, no such supplement shall be paid where such percentage is  less
  than  three  percentum. Such percentage shall be computed by the actuary
  and certified to the comptroller who shall, by directive,  promulgate  a
  schedule  of percentages by applicable calendar year to be used for this
  purpose.
    c. The supplemental pension  shall  be  rounded  off  to  the  nearest
  dollar.
    d.  Such supplemental pension shall be payable to the same persons and
  shall be subject to the same terms and conditions, including  provisions
  as  to  termination,  as the basic pension awarded to the police or fire
  line-of-duty surviving spouse or dependent.
    e. (1) In any case where a  police  or  fire  line-of-duty  spouse  or
  dependent  is  entitled  to  receive an annual increased allowance, such
  police or fire line-of-duty surviving spouse or dependent,  if  entitled
  to  receive  a supplemental pension under the provisions of this article
  six, shall be entitled to receive such supplemental pension  under  this
  article in addition to such annual increased allowance.
    (2)  Except as otherwise provided in paragraph one of this subdivision
  e, the supplemental pension provided for by this article for any  police
  or  fire  line-of-duty surviving spouse or dependent shall be in lieu of

  any supplemental pension or supplemental retirement allowance  for  such
  police  or  fire  line-of-duty surviving spouse or dependent provided by
  any other  law  heretofore  or  hereafter  enacted,  unless  such  other
  supplemental  pension  or supplemental retirement allowance is in excess
  of that provided for by this article, in which latter  case  such  other
  supplemental  pension or supplemental retirement allowance shall be paid
  and no supplemental pension shall be paid under this  article;  provided
  however, that nothing contained in this subdivision e shall be construed
  as  entitling  any  police  or  fire  line-of-duty  surviving  spouse or
  dependent to a supplemental retirement allowance under  article  two  of
  subchapter  six of chapter five of this title in any case where, if this
  article six had not been  enacted,  such  police  or  fire  line-of-duty
  surviving  spouse  or  dependent would not be entitled to a supplemental
  retirement allowance under such article two.